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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample545.0ms (5.7%)

Memory

12.2MiB live, 932.7MiB allocated

Samples

378.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-mult: 118.0ms (68.3% of total)

ival-sub: 41.0ms (23.7% of total)

ival-true: 6.0ms (3.5% of total)

exact: 5.0ms (2.9% of total)

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

Bogosity

preprocess40.0ms (0.4%)

Memory

17.3MiB live, 55.9MiB allocated

Algorithm

2×	egg-herbie

Rules

280×	`accelerator-lowering-fma.f32`
280×	`accelerator-lowering-fma.f64`
184×	`-lowering-.f32`
184×	`-lowering-.f64`
172×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	44
1	64	44
2	130	42
3	347	42
4	654	42
5	815	42
6	823	42
0	6	7
1	15	7
2	32	7
3	62	7
4	144	7
5	191	7
6	240	7
7	320	7
8	387	7
9	404	7
10	404	7
0	404	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(* x (- 1 (* x y)))
(* (neg x) (- 1 (* (neg x) y)))
(* x (- 1 (* x (neg y))))
(neg (* (neg x) (- 1 (* (neg x) y))))
(neg (* x (- 1 (* x (neg y)))))
(* y (- 1 (* y x)))

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

explain74.0ms (0.8%)

Memory

-47.7MiB live, 128.3MiB 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

30.0ms

512×

valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

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

ival-sub: 8.0ms (51.2% of total)

ival-mult: 7.0ms (44.8% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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

18.2MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	-64	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x y))

Rules

280×	`accelerator-lowering-fma.f32`
280×	`accelerator-lowering-fma.f64`
184×	`-lowering-.f32`
184×	`-lowering-.f64`
74×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	15	18
2	32	18
3	62	18
4	144	18
5	191	18
6	240	18
7	320	18
8	387	18
9	404	18
10	404	18
0	404	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize25.0ms (0.3%)

Memory

-14.2MiB live, 26.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (61.2% of total)

ival-sub: 1.0ms (20.4% 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

6.8MiB live, 6.8MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (- 1 (* x y))>
#<alt (* x (- 1 (* x y)))>
#<alt (* x y)>

Outputs
#<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 (* 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)
0.0ms	x	@	0	(* x (- 1 (* x y)))
0.0ms	x	@	-inf	(* x (- 1 (* x y)))
0.0ms	x	@	inf	(- 1 (* x y))
0.0ms	y	@	0	(- 1 (* x y))

rewrite1.3s (14%)

Memory

16.5MiB live, 726.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

21 824×	`accelerator-lowering-fma.f32`
21 824×	`accelerator-lowering-fma.f64`
3 708×	`-lowering-.f32`
3 708×	`-lowering-.f64`
3 004×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	28	15
2	187	15
3	1499	15
0	9595	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 614

Calls

Call 1

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

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

simplify747.0ms (7.8%)

Memory

14.2MiB live, 287.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 738×	`accelerator-lowering-fma.f32`
4 738×	`accelerator-lowering-fma.f64`
4 354×	`-lowering-.f32`
4 354×	`-lowering-.f64`
2 520×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	368
1	108	332
2	189	332
3	514	332
4	2409	332
5	5854	332
0	8078	332

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
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))))
(* 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
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x (- (/ 1 x) y))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x (- (/ 1 x) y))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x (- (/ 1 x) y))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
x
(* x (+ 1 (* -1 (* x y))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* x (+ 1 (* -1 (* x y))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* x (+ 1 (* -1 (* x y))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x 2) y))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x 2) y))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
x
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x 2) y))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x 2) y))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))

eval334.0ms (3.5%)

Memory: 3.2MiB live, 165.2MiB allocated
Compiler: Compiled 27 840 to 1 629 computations (94.1% saved)

prune173.0ms (1.8%)

Memory

-0.5MiB live, 197.7MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	682	4	686
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	682	5	687

Accuracy

99.9%

Counts

687 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.9%	(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x x) x)
▶	99.9%	(-.f64 x (.f64 x (.f64 x y)))
▶	69.3%	(.f64 x (/.f64 (neg.f64 (fma.f64 x (.f64 x (*.f64 y y)) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64))))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
▶	52.4%	x

Compiler

Compiled 49 to 30 computations (38.8% saved)

simplify390.0ms (4.1%)

Memory

-0.7MiB live, 490.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) y)
✓	cost-diff	0	(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x x) x)
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	-64	(.f64 x (.f64 x y))
✓	cost-diff	0	(-.f64 x (.f64 x (.f64 x y)))
✓	cost-diff	-64	(.f64 x (/.f64 (neg.f64 (fma.f64 x (.f64 x (*.f64 y y)) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64))))
✓	cost-diff	0	(fma.f64 x y #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (.f64 x (.f64 y y)) #s(literal -1 binary64))
✓	cost-diff	1856	(/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64)))

Rules

9 338×	`accelerator-lowering-fma.f32`
9 338×	`accelerator-lowering-fma.f64`
2 990×	`-lowering-.f32`
2 990×	`-lowering-.f64`
1 284×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	125
1	52	120
2	128	120
3	297	114
4	687	114
5	1594	80
6	3218	80
7	4146	80
8	5618	80
9	7196	80
10	7929	80
0	8011	78

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
x
(* x (/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1)))
x
(/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1))
(neg (+ (* x (* x (* y y))) -1))
(+ (* x (* x (* y y))) -1)
(* x (* y y))
(* y y)
y
-1
(+ (* x y) 1)
1
(- x (* x (* x y)))
x
(* x (* x y))
(* x y)
y
(+ (* (- 0 y) (* x x)) x)
(- 0 y)
0
y
(* x x)
x

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

localize62.0ms (0.7%)

Memory

-9.4MiB live, 143.8MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	92.9%	(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x x) x)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 x (.f64 x (.f64 x y)))
✓	accuracy	99.8%	(.f64 x (.f64 x y))
✓	accuracy	99.9%	(.f64 x (/.f64 (neg.f64 (fma.f64 x (.f64 x (*.f64 y y)) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64))))
✓	accuracy	97.0%	(fma.f64 x (.f64 x (.f64 y y)) #s(literal -1 binary64))
✓	accuracy	87.8%	(.f64 x (.f64 y y))
✓	accuracy	76.7%	(/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64)))

Samples

36.0ms

256×

valid

Compiler

Compiled 100 to 22 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 12.0ms (55.8% of total)

ival-add: 4.0ms (18.6% of total)

ival-div: 2.0ms (9.3% of total)

ival-sub: 2.0ms (9.3% of total)

ival-neg: 1.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

1.7MiB live, 40.7MiB allocated

Counts

11 → 240

Calls

Call 1

Inputs
#<alt (/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1))>
#<alt (+ (* x (* x (* y y))) -1)>
#<alt (+ (* x y) 1)>
#<alt (* x (/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1)))>
#<alt (- x (* x (* x y)))>
#<alt (* x (* x y))>
#<alt (* x y)>
#<alt (+ (* (- 0 y) (* x x)) x)>
#<alt (- 0 y)>
#<alt (* x x)>
#<alt (* x (* y y))>

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

Calls

60 calls:

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

rewrite520.0ms (5.5%)

Memory

9.7MiB live, 1 116.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 876×	`accelerator-lowering-fma.f32`
11 876×	`accelerator-lowering-fma.f64`
4 932×	`-lowering-.f32`
4 932×	`-lowering-.f64`
3 446×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	102
1	119	56
2	945	56
0	9457	55

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 949

Calls

Call 1

Inputs
(/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1))
(+ (* x (* x (* y y))) -1)
(+ (* x y) 1)
(* x (/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1)))
(- x (* x (* x y)))
(* x (* x y))
(* x y)
(+ (* (- 0 y) (* x x)) x)
(- 0 y)
(* x x)
(* x (* y y))

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

simplify269.0ms (2.8%)

Memory

-3.7MiB live, 546.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 026×	`accelerator-lowering-fma.f32`
5 026×	`accelerator-lowering-fma.f64`
3 316×	`-lowering-.f32`
3 316×	`-lowering-.f64`
3 144×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	1304
1	192	1232
2	403	1232
3	1166	1232
4	4277	1232
0	8592	1196

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval148.0ms (1.6%)

Memory: 13.0MiB live, 320.2MiB allocated
Compiler: Compiled 36 204 to 2 411 computations (93.3% saved)

prune155.0ms (1.6%)

Memory

22.8MiB live, 223.4MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 183	6	1 189
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	1 185	9	1 194

Accuracy

100.0%

Counts

1 194 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (*.f64 x x) x)
	41.9%	(fma.f64 (-.f64 #s(literal 0 binary64) y) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) x)
▶	92.9%	(fma.f64 (neg.f64 y) (*.f64 x x) x)
▶	99.9%	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) x))))
▶	80.6%	(-.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) y))
✓	99.9%	(-.f64 x (.f64 x (.f64 x y)))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	52.4%	x

Compiler

Compiled 169 to 107 computations (36.7% saved)

simplify352.0ms (3.7%)

Memory

-32.7MiB live, 394.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) y)
✓	cost-diff	0	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (*.f64 x x) x)
✓	cost-diff	192	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))
✓	cost-diff	1216	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
✓	cost-diff	0	(fma.f64 x y #s(literal -1 binary64))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) x))
✓	cost-diff	192	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) x)))
✓	cost-diff	1216	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) x))))
✓	cost-diff	0	(fma.f64 y y #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
✓	cost-diff	0	(-.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) y))
✓	cost-diff	1088	(/.f64 (fma.f64 x (*.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) y)
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	-64	(neg.f64 y)
✓	cost-diff	0	(fma.f64 (neg.f64 y) (*.f64 x x) x)
✓	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	832	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64))))

Rules

5 930×	`accelerator-lowering-fma.f32`
5 930×	`accelerator-lowering-fma.f64`
5 000×	`-lowering-.f32`
5 000×	`-lowering-.f64`
1 290×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	145
1	75	143
2	185	143
3	545	127
4	1315	127
5	2376	127
6	3924	127
7	5529	127
8	6222	127
9	6757	127
10	7112	127
11	7514	127
12	7938	127
0	8148	122

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ x (/ -1 (+ (* x y) -1)))
x
(/ -1 (+ (* x y) -1))
-1
(+ (* x y) -1)
y
(+ (* (neg y) (* x x)) x)
(neg y)
y
(* x x)
x
(- x (/ (+ (* x (* x (+ (* y y) 0))) 0) y))
x
(/ (+ (* x (* x (+ (* y y) 0))) 0) y)
(+ (* x (* x (+ (* y y) 0))) 0)
(* x (+ (* y y) 0))
(+ (* y y) 0)
y
0
(/ 1 (/ 1 (- 0 (* (+ (* x y) -1) x))))
1
(/ 1 (- 0 (* (+ (* x y) -1) x)))
(- 0 (* (+ (* x y) -1) x))
0
(* (+ (* x y) -1) x)
(+ (* x y) -1)
x
y
-1
(+ (* (/ 1 (/ 1 (- 0 y))) (* x x)) x)
(/ 1 (/ 1 (- 0 y)))
1
(/ 1 (- 0 y))
(- 0 y)
0
y
(* x x)
x

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

localize91.0ms (1%)

Memory

21.2MiB live, 176.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
✓	accuracy	92.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (*.f64 x x) x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) x))
✓	accuracy	99.9%	(*.f64 (fma.f64 x y #s(literal -1 binary64)) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) x))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) x)))
✓	accuracy	100.0%	(-.f64 x (/.f64 (fma.f64 x (*.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) y))
✓	accuracy	94.4%	(fma.f64 x (*.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
✓	accuracy	89.6%	(/.f64 (fma.f64 x (*.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) y)
✓	accuracy	87.8%	(*.f64 x (fma.f64 y y #s(literal 0 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	92.9%	(fma.f64 (neg.f64 y) (*.f64 x x) x)
✓	accuracy	100.0%	(fma.f64 x y #s(literal -1 binary64))
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64))))
✓	accuracy	99.2%	(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64)))

Samples

56.0ms

256×

valid

Compiler

Compiled 162 to 31 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 14.0ms (37.9% of total)

ival-mult: 12.0ms (32.5% of total)

ival-add: 6.0ms (16.2% of total)

ival-sub: 3.0ms (8.1% of total)

ival-neg: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-10.5MiB live, 28.1MiB allocated

Counts

19 → 384

Calls

Call 1

Inputs
#<alt (/ x (/ -1 (+ (* x y) -1)))>
#<alt (/ -1 (+ (* x y) -1))>
#<alt (+ (* x y) -1)>
#<alt (+ (* (neg y) (* x x)) x)>
#<alt (neg y)>
#<alt (* x x)>
#<alt (/ (+ (* x (* x (+ (* y y) 0))) 0) y)>
#<alt (- x (/ (+ (* x (* x (+ (* y y) 0))) 0) y))>
#<alt (+ (* x (* x (+ (* y y) 0))) 0)>
#<alt (+ (* y y) 0)>
#<alt (/ 1 (/ 1 (- 0 (* (+ (* x y) -1) x))))>
#<alt (/ 1 (- 0 (* (+ (* x y) -1) x)))>
#<alt (- 0 (* (+ (* x y) -1) x))>
#<alt (/ 1 (/ 1 (- 0 y)))>
#<alt (/ 1 (- 0 y))>
#<alt (+ (* (/ 1 (/ 1 (- 0 y))) (* x x)) x)>
#<alt (- 0 y)>
#<alt (* x (+ (* y y) 0))>
#<alt (* (+ (* x y) -1) x)>

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

Calls

96 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(+ (* x y) -1)
2.0ms	x	@	0	(/ x (/ -1 (+ (* x y) -1)))
0.0ms	x	@	inf	(/ x (/ -1 (+ (* x y) -1)))
0.0ms	y	@	-inf	(/ x (/ -1 (+ (* x y) -1)))
0.0ms	y	@	0	(/ x (/ -1 (+ (* x y) -1)))

rewrite522.0ms (5.5%)

Memory

23.5MiB live, 806.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 282×	`accelerator-lowering-fma.f32`
5 282×	`accelerator-lowering-fma.f64`
4 136×	`/-lowering-/.f32`
4 136×	`/-lowering-/.f64`
3 684×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	120
1	212	102
2	1711	100
0	8376	96

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 2 073

Calls

Call 1

Inputs
(/ x (/ -1 (+ (* x y) -1)))
(/ -1 (+ (* x y) -1))
(+ (* x y) -1)
(+ (* (neg y) (* x x)) x)
(neg y)
(* x x)
(/ (+ (* x (* x (+ (* y y) 0))) 0) y)
(- x (/ (+ (* x (* x (+ (* y y) 0))) 0) y))
(+ (* x (* x (+ (* y y) 0))) 0)
(+ (* y y) 0)
(/ 1 (/ 1 (- 0 (* (+ (* x y) -1) x))))
(/ 1 (- 0 (* (+ (* x y) -1) x)))
(- 0 (* (+ (* x y) -1) x))
(/ 1 (/ 1 (- 0 y)))
(/ 1 (- 0 y))
(+ (* (/ 1 (/ 1 (- 0 y))) (* x x)) x)
(- 0 y)
(* x (+ (* y y) 0))
(* (+ (* x y) -1) x)

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

simplify489.0ms (5.1%)

Memory

-21.5MiB live, 691.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 964×	`accelerator-lowering-fma.f32`
9 964×	`accelerator-lowering-fma.f64`
4 714×	`-lowering-.f32`
4 714×	`-lowering-.f64`
2 546×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	2640
1	529	2508
2	1288	2485
3	5272	2484
0	8411	2425

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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

Outputs
x
(* x (+ 1 (* -1 (* x y))))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
(* x (+ 1 (* -1 (* x y))))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
(* x (+ 1 (* -1 (* x y))))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
(* -1 (* (pow x 2) y))
(-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x y) #s(literal 0 binary64)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
(* -1 (* (pow x 2) y))
(-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x y) #s(literal 0 binary64)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
x
(+ x (* -1 (* (pow x 2) y)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
(* -1 (* (pow x 2) y))
(-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x y) #s(literal 0 binary64)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
(* -1 (* (pow x 2) y))
(-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x y) #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
1
#s(literal 1 binary64)
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eval388.0ms (4.1%)

Memory: 32.2MiB live, 727.8MiB allocated
Compiler: Compiled 63 613 to 3 668 computations (94.2% saved)

prune242.0ms (2.5%)

Memory

-24.7MiB live, 478.3MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	2 533	8	2 541
Fresh	1	0	1
Picked	4	1	5
Done	0	3	3
Total	2 538	12	2 550

Accuracy

100.0%

Counts

2 550 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.9%	(fma.f64 (neg.f64 y) (*.f64 x x) x)
▶	99.7%	(/.f64 (fma.f64 x y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
▶	79.4%	(/.f64 (.f64 (.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64)))
▶	48.0%	(/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y y) #s(literal 0 binary64)))) x))
▶	50.3%	(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)))
	50.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x y) #s(literal 0 binary64))))
	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x)))
▶	80.6%	(-.f64 x (/.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 0 binary64)) y))
	92.9%	(-.f64 x (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y)))
✓	99.9%	(-.f64 x (.f64 x (.f64 x y)))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	52.4%	x

Compiler

Compiled 244 to 150 computations (38.5% saved)

simplify434.0ms (4.6%)

Memory

36.0MiB live, 722.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) y)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y y) #s(literal 0 binary64))))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y y) #s(literal 0 binary64)))) x)
✓	cost-diff	384	(/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y y) #s(literal 0 binary64)))) x))
✓	cost-diff	0	(fma.f64 x y #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(*.f64 x #s(literal -1 binary64))
✓	cost-diff	1792	(/.f64 (.f64 (.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64)))
✓	cost-diff	-64	(-.f64 x (/.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 0 binary64)) y))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 x (.f64 x (.f64 y y)) #s(literal 0 binary64))
✓	cost-diff	1088	(/.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 0 binary64)) y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x y))
✓	cost-diff	832	(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(fma.f64 x y #s(literal -1 binary64))
✓	cost-diff	832	(/.f64 (fma.f64 x y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))

Rules

13 746×	`accelerator-lowering-fma.f32`
13 746×	`accelerator-lowering-fma.f64`
3 348×	`-lowering-.f32`
3 348×	`-lowering-.f64`
1 868×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	181
1	72	179
2	203	175
3	587	165
4	2266	165
5	7036	165
0	8027	162

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* x y) -1) (/ -1 x))
(+ (* x y) -1)
x
y
-1
(/ -1 x)
(/ x (/ -1 (* x y)))
x
(/ -1 (* x y))
-1
(* x y)
y
(- x (/ (+ (* x (* x (* y y))) 0) y))
x
(/ (+ (* x (* x (* y y))) 0) y)
(+ (* x (* x (* y y))) 0)
(* x (* y y))
(* y y)
y
0
(/ (* (* x -1) (+ (* (* x y) (* x y)) -1)) (+ (* x y) 1))
(* (* x -1) (+ (* (* x y) (* x y)) -1))
(* x -1)
x
-1
(+ (* (* x y) (* x y)) -1)
(* x y)
y
(+ (* x y) 1)
1
(/ x (/ (+ (/ -1 y) (/ -1 (+ (* x (* y y)) 0))) x))
x
(/ (+ (/ -1 y) (/ -1 (+ (* x (* y y)) 0))) x)
(+ (/ -1 y) (/ -1 (+ (* x (* y y)) 0)))
(/ -1 y)
-1
y
(/ -1 (+ (* x (* y y)) 0))
(+ (* x (* y y)) 0)
(* y y)
0

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

localize341.0ms (3.6%)

Memory

-98.6MiB live, 210.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y y) #s(literal 0 binary64)))
✓	accuracy	99.2%	(/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y y) #s(literal 0 binary64)))) x))
✓	accuracy	97.3%	(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y y) #s(literal 0 binary64)))) x)
✓	accuracy	87.8%	(fma.f64 x (*.f64 y y) #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -1 binary64))
✓	accuracy	99.8%	(fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64))
✓	accuracy	98.9%	(.f64 (.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64)))
✓	accuracy	81.7%	(/.f64 (.f64 (.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 x y) (.f64 x y) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 x (/.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 0 binary64)) y))
✓	accuracy	94.4%	(fma.f64 x (.f64 x (.f64 y y)) #s(literal 0 binary64))
✓	accuracy	89.6%	(/.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 0 binary64)) y)
✓	accuracy	87.8%	(.f64 x (.f64 y y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)))
✓	accuracy	99.1%	(/.f64 #s(literal -1 binary64) (*.f64 x y))
✓	accuracy	100.0%	(fma.f64 x y #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	99.7%	(/.f64 (fma.f64 x y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))

Samples

299.0ms

256×

valid

Compiler

Compiled 196 to 31 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 26.0ms (57.5% of total)

ival-mult: 11.0ms (24.3% of total)

ival-add: 7.0ms (15.5% of total)

ival-sub: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.2%)

Memory

1.5MiB live, 38.7MiB allocated

Counts

22 → 480

Calls

Call 1

Inputs
#<alt (/ (+ (* x y) -1) (/ -1 x))>
#<alt (+ (* x y) -1)>
#<alt (/ -1 x)>
#<alt (/ x (/ -1 (* x y)))>
#<alt (/ -1 (* x y))>
#<alt (* x y)>
#<alt (/ (+ (* x (* x (* y y))) 0) y)>
#<alt (+ (* x (* x (* y y))) 0)>
#<alt (* y y)>
#<alt (- x (/ (+ (* x (* x (* y y))) 0) y))>
#<alt (/ (* (* x -1) (+ (* (* x y) (* x y)) -1)) (+ (* x y) 1))>
#<alt (* x -1)>
#<alt (+ (* x y) 1)>
#<alt (/ x (/ (+ (/ -1 y) (/ -1 (+ (* x (* y y)) 0))) x))>
#<alt (/ (+ (/ -1 y) (/ -1 (+ (* x (* y y)) 0))) x)>
#<alt (+ (/ -1 y) (/ -1 (+ (* x (* y y)) 0)))>
#<alt (/ -1 y)>
#<alt (* x (* y y))>
#<alt (* (* x -1) (+ (* (* x y) (* x y)) -1))>
#<alt (+ (* (* x y) (* x y)) -1)>
#<alt (+ (* x (* y y)) 0)>
#<alt (/ -1 (+ (* x (* y y)) 0))>

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 (- (* 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 (/ -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 (* -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 (* 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 (* (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) (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 (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 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 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<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 (- (/ x y) (pow x 2)))>
#<alt (* y (- (/ x y) (pow x 2)))>
#<alt (* y (- (/ x y) (pow x 2)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 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)>
#<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>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<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 (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<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 (* -1 (* (pow x 3) (pow y 2)))>
#<alt (* (pow x 3) (+ (* -1 (pow y 2)) (* x (pow y 3))))>
#<alt (* (pow x 3) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3)))))>
#<alt (* (pow x 3) (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3)))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y))))>
#<alt (* (pow x 2) (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (* -1 (/ (- (/ 1 (* x y)) 1) x))))>
#<alt (* (pow x 2) (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x))))>
#<alt (* -1 (* (pow x 3) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (* (pow x 4) y)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (* y (+ (* -1 (* (pow x 5) y)) (pow x 4)))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (* y (+ (* y (+ (* -1 (pow x 5)) (* (pow x 6) y))) (pow x 4)))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (/ (+ (* -1 x) (/ 1 y)) y)) (* -1 (pow x 2))))>
#<alt (* y (- (+ (* -1 (pow x 2)) (/ 1 (* x (pow y 3)))) (+ (* -1 (/ x y)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (* x y))) y)) (* -1 x)) y)) (pow x 2))))>
#<alt (/ -1 (* (pow x 2) (pow y 2)))>
#<alt (/ (- (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2))>
#<alt (/ (- (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2))>
#<alt (/ (- (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (/ 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))) y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (/ -1 (* (pow x 2) (pow y 2)))>
#<alt (/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2))>
#<alt (/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2))>
#<alt (/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (* -1 (/ (+ (/ 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)))) x))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ (- (* -1 y) (/ 1 x)) (pow y 2))>
#<alt (/ (- (* -1 y) (/ 1 x)) (pow y 2))>
#<alt (/ (- (* -1 y) (/ 1 x)) (pow y 2))>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (/ 1 (* x y))) y))>
#<alt (* -1 (/ (+ 1 (/ 1 (* x y))) y))>
#<alt (* -1 (/ (+ 1 (/ 1 (* x y))) y))>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (/ 1 (* x y))) y))>
#<alt (* -1 (/ (+ 1 (/ 1 (* x y))) y))>
#<alt (* -1 (/ (+ 1 (/ 1 (* x y))) y))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) x)>
#<alt (/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) x)>
#<alt (/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) x)>
#<alt (/ -1 y)>
#<alt (* -1 (+ (/ 1 y) (/ 1 (* x (pow y 2)))))>
#<alt (* -1 (+ (/ 1 y) (/ 1 (* x (pow y 2)))))>
#<alt (* -1 (+ (/ 1 y) (/ 1 (* x (pow y 2)))))>
#<alt (/ -1 y)>
#<alt (* -1 (+ (/ 1 y) (/ 1 (* x (pow y 2)))))>
#<alt (* -1 (+ (/ 1 y) (/ 1 (* x (pow y 2)))))>
#<alt (* -1 (+ (/ 1 y) (/ 1 (* x (pow y 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 (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 (* (pow x 2) (pow y 2)))))>
#<alt (* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))>
#<alt (* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))>
#<alt (* -1 (* (pow x 3) (pow y 2)))>
#<alt (* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))>
#<alt (* -1 (* (pow x 3) (pow y 2)))>
#<alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 3) (pow y 2))))>
#<alt (+ x (* -1 (* (pow x 3) (pow y 2))))>
#<alt (+ x (* -1 (* (pow x 3) (pow y 2))))>
#<alt (* -1 (* (pow x 3) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))>
#<alt (* -1 (* (pow x 3) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))>
#<alt -1>
#<alt (- (* (pow x 2) (pow y 2)) 1)>
#<alt (- (* (pow x 2) (pow y 2)) 1)>
#<alt (- (* (pow x 2) (pow y 2)) 1)>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))>
#<alt -1>
#<alt (- (* (pow x 2) (pow y 2)) 1)>
#<alt (- (* (pow x 2) (pow y 2)) 1)>
#<alt (- (* (pow x 2) (pow y 2)) 1)>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- (pow x 2) (/ 1 (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 (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (/ -1 (* x (pow y 2)))>

Calls

120 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/ (+ (/ -1 y) (/ -1 (+ (* x (* y y)) 0))) x)
1.0ms	x	@	0	(/ (+ (/ -1 y) (/ -1 (+ (* x (* y y)) 0))) x)
1.0ms	x	@	inf	(/ (+ (/ -1 y) (/ -1 (+ (* x (* y y)) 0))) x)
1.0ms	x	@	0	(/ (* (* x -1) (+ (* (* x y) (* x y)) -1)) (+ (* x y) 1))
1.0ms	y	@	0	(/ (* (* x -1) (+ (* (* x y) (* x y)) -1)) (+ (* x y) 1))

rewrite383.0ms (4%)

Memory

12.8MiB live, 681.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 796×	`-lowering-.f32`
4 796×	`-lowering-.f64`
4 380×	`accelerator-lowering-fma.f32`
4 380×	`accelerator-lowering-fma.f64`
4 260×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	150
1	232	143
2	2168	135
0	8241	133

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 689

Calls

Call 1

Inputs
(/ (+ (* x y) -1) (/ -1 x))
(+ (* x y) -1)
(/ -1 x)
(/ x (/ -1 (* x y)))
(/ -1 (* x y))
(* x y)
(/ (+ (* x (* x (* y y))) 0) y)
(+ (* x (* x (* y y))) 0)
(* y y)
(- x (/ (+ (* x (* x (* y y))) 0) y))
(/ (* (* x -1) (+ (* (* x y) (* x y)) -1)) (+ (* x y) 1))
(* x -1)
(+ (* x y) 1)
(/ x (/ (+ (/ -1 y) (/ -1 (+ (* x (* y y)) 0))) x))
(/ (+ (/ -1 y) (/ -1 (+ (* x (* y y)) 0))) x)
(+ (/ -1 y) (/ -1 (+ (* x (* y y)) 0)))
(/ -1 y)
(* x (* y y))
(* (* x -1) (+ (* (* x y) (* x y)) -1))
(+ (* (* x y) (* x y)) -1)
(+ (* x (* y y)) 0)
(/ -1 (+ (* x (* y y)) 0))

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

simplify462.0ms (4.8%)

Memory

4.4MiB live, 726.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 166×	`accelerator-lowering-fma.f32`
12 166×	`accelerator-lowering-fma.f64`
3 926×	`-lowering-.f32`
3 926×	`-lowering-.f64`
1 648×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	3188
1	621	3062
2	1753	2942
3	5657	2938
0	8290	2876

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

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)
(* x (- y (/ 1 x)))
(* x (- y (/ 1 x)))
(* x (- y (/ 1 x)))
(* x y)
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
-1
(- (* x y) 1)
(- (* x y) 1)
(- (* x y) 1)
(* x y)
(* y (- x (/ 1 y)))
(* y (- x (/ 1 y)))
(* y (- x (/ 1 y)))
(* x y)
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* y (+ (* -1 x) (/ 1 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)
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) 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))
(* 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)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (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))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(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 x) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (- (/ 1 x) y))
(* -1 (* (pow x 2) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (- (/ 1 x) y))
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 (- (/ x y) (pow x 2)))
(* y (- (/ x y) (pow x 2)))
(* y (- (/ x y) (pow x 2)))
(* -1 (* (pow x 2) y))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 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)))
(* -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)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1
(+ 1 (* x y))
(+ 1 (* x y))
(+ 1 (* x y))
(* x y)
(* x (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
(* x y)
(* -1 (* x (- (* -1 y) (/ 1 x))))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(* -1 (* x (- (* -1 y) (/ 1 x))))
1
(+ 1 (* x y))
(+ 1 (* x y))
(+ 1 (* x y))
(* x y)
(* y (+ x (/ 1 y)))
(* y (+ x (/ 1 y)))
(* y (+ x (/ 1 y)))
(* x y)
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (* x (pow y 3))))
(* (pow x 3) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3)))))
(* (pow x 3) (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3)))))
(* -1 (* (pow x 2) y))
(* (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) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (* -1 (/ (- (/ 1 (* x y)) 1) x))))
(* (pow x 2) (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x))))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (* (pow x 4) y)))
(* (pow y 2) (+ (* -1 (pow x 3)) (* y (+ (* -1 (* (pow x 5) y)) (pow x 4)))))
(* (pow y 2) (+ (* -1 (pow x 3)) (* y (+ (* y (+ (* -1 (pow x 5)) (* (pow x 6) y))) (pow x 4)))))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (/ (+ (* -1 x) (/ 1 y)) y)) (* -1 (pow x 2))))
(* y (- (+ (* -1 (pow x 2)) (/ 1 (* x (pow y 3)))) (+ (* -1 (/ x y)) (/ 1 (pow y 2)))))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))))
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (* x y))) y)) (* -1 x)) y)) (pow x 2))))
(/ -1 (* (pow x 2) (pow y 2)))
(/ (- (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2))
(/ (- (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2))
(/ (- (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (/ 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))) y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/ -1 (* (pow x 2) (pow y 2)))
(/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2))
(/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2))
(/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 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)))) x))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/ -1 (* x (pow y 2)))
(/ (- (* -1 y) (/ 1 x)) (pow y 2))
(/ (- (* -1 y) (/ 1 x)) (pow y 2))
(/ (- (* -1 y) (/ 1 x)) (pow y 2))
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 (* x y))) y))
(* -1 (/ (+ 1 (/ 1 (* x y))) y))
(* -1 (/ (+ 1 (/ 1 (* x y))) y))
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 (* x y))) y))
(* -1 (/ (+ 1 (/ 1 (* x y))) y))
(* -1 (/ (+ 1 (/ 1 (* x y))) y))
(/ -1 (* x (pow y 2)))
(/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) x)
(/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) x)
(/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) x)
(/ -1 y)
(* -1 (+ (/ 1 y) (/ 1 (* x (pow y 2)))))
(* -1 (+ (/ 1 y) (/ 1 (* x (pow y 2)))))
(* -1 (+ (/ 1 y) (/ 1 (* x (pow y 2)))))
(/ -1 y)
(* -1 (+ (/ 1 y) (/ 1 (* x (pow y 2)))))
(* -1 (+ (/ 1 y) (/ 1 (* x (pow y 2)))))
(* -1 (+ (/ 1 y) (/ 1 (* x (pow y 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 (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 (* (pow x 2) (pow y 2)))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* (pow x 3) (pow y 2)))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
x
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
-1
(- (* (pow x 2) (pow y 2)) 1)
(- (* (pow x 2) (pow y 2)) 1)
(- (* (pow x 2) (pow y 2)) 1)
(* (pow x 2) (pow y 2))
(* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))
-1
(- (* (pow x 2) (pow y 2)) 1)
(- (* (pow x 2) (pow y 2)) 1)
(- (* (pow x 2) (pow y 2)) 1)
(* (pow x 2) (pow y 2))
(* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))
(* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))
(* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))
(* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))
(* (pow y 2) (- (pow x 2) (/ 1 (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))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))
(/ -1 (* x (pow y 2)))

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

eval155.0ms (1.6%)

Memory: 7.4MiB live, 361.0MiB allocated
Compiler: Compiled 23 453 to 2 303 computations (90.2% saved)

prune146.0ms (1.5%)

Memory

5.0MiB live, 236.6MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 261	4	1 265
Fresh	2	1	3
Picked	4	1	5
Done	0	4	4
Total	1 267	10	1 277

Accuracy

100.0%

Counts

1 277 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.9%	(fma.f64 (neg.f64 y) (*.f64 x x) x)
	79.4%	(/.f64 (.f64 (neg.f64 x) (fma.f64 (.f64 x y) (*.f64 x y) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64)))
	50.3%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x))
✓	50.3%	(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)))
	50.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y))))
	92.9%	(-.f64 x (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y)))
✓	99.9%	(-.f64 x (.f64 x (.f64 x y)))
	46.3%	(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) y)
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	52.4%	x

Compiler

Compiled 330 to 138 computations (58.2% saved)

regimes26.0ms (0.3%)

Memory

5.8MiB live, 44.4MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
6.0ms	x
6.0ms	(.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)

regimes11.0ms (0.1%)

Memory

-2.8MiB live, 35.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
3.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
3.0ms	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)

regimes4.0ms (0%)

Memory

13.9MiB live, 13.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.4%	1	`x`
52.4%	1	`y`
52.4%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify9.0ms (0.1%)

Memory

-8.3MiB live, 30.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-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	10	16
1	20	16
2	30	16
3	36	16
4	40	16
5	41	16

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness539.0ms (5.7%)

Memory

-17.9MiB live, 342.6MiB allocated

Rules

21 824×	`accelerator-lowering-fma.f32`
21 824×	`accelerator-lowering-fma.f64`
11 876×	`accelerator-lowering-fma.f32`
11 876×	`accelerator-lowering-fma.f64`
4 932×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	368
1	108	332
2	189	332
3	514	332
4	2409	332
5	5854	332
0	8078	332
0	6	15
1	28	15
2	187	15
3	1499	15
0	9595	13
0	20	102
1	119	56
2	945	56
0	9457	55

Stop Event

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

preprocess46.0ms (0.5%)

Memory: -2.1MiB live, 117.5MiB allocated
Compiler: Compiled 54 to 32 computations (40.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	44
1	64	44
2	130	42
3	347	42
4	654	42
5	815	42
6	823	42
0	6	7
1	15	7
2	32	7
3	62	7
4	144	7
5	191	7
6	240	7
7	320	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
1	15	18
2	32	18
3	62	18
4	144	18
5	191	18
6	240	18
7	320	18
8	387	18
9	404	18
10	404	18
0	404	18

Iter	Nodes	Cost
0	19	44
1	64	44
2	130	42
3	347	42
4	654	42
5	815	42
6	823	42
0	6	7
1	15	7
2	32	7
3	62	7
4	144	7
5	191	7
6	240	7
7	320	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
1	15	18
2	32	18
3	62	18
4	144	18
5	191	18
6	240	18
7	320	18
8	387	18
9	404	18
10	404	18
0	404	18

analyze0.0ms (0%)

sample545.0ms (5.7%)

preprocess40.0ms (0.4%)

explain74.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.2%)

localize25.0ms (0.3%)

series5.0ms (0.1%)

rewrite1.3s (14%)

simplify747.0ms (7.8%)

eval334.0ms (3.5%)

prune173.0ms (1.8%)

simplify390.0ms (4.1%)

localize62.0ms (0.7%)

series15.0ms (0.2%)

rewrite520.0ms (5.5%)

simplify269.0ms (2.8%)

eval148.0ms (1.6%)

prune155.0ms (1.6%)

simplify352.0ms (3.7%)

localize91.0ms (1%)

series15.0ms (0.2%)

rewrite522.0ms (5.5%)

simplify489.0ms (5.1%)

eval388.0ms (4.1%)

prune242.0ms (2.5%)

simplify434.0ms (4.6%)

localize341.0ms (3.6%)

series21.0ms (0.2%)

rewrite383.0ms (4%)

simplify462.0ms (4.8%)

eval155.0ms (1.6%)

prune146.0ms (1.5%)

regimes26.0ms (0.3%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

simplify9.0ms (0.1%)

soundness539.0ms (5.7%)

preprocess46.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	44
1	64	44
2	130	42
3	347	42
4	654	42
5	815	42
6	823	42
0	6	7
1	15	7
2	32	7
3	62	7
4	144	7
5	191	7
6	240	7
7	320	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
1	15	18
2	32	18
3	62	18
4	144	18
5	191	18
6	240	18
7	320	18
8	387	18
9	404	18
10	404	18
0	404	18