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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample551.0ms (8%)

Memory

5.9MiB live, 786.8MiB allocated

Samples

356.0ms	8 254×	0	valid
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-add: 71.0ms (39.2% of total)

ival-mult: 56.0ms (30.9% of total)

ival-sub: 42.0ms (23.2% of total)

ival-true: 5.0ms (2.8% of total)

exact: 4.0ms (2.2% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

preprocess67.0ms (1%)

Memory

-29.6MiB live, 77.4MiB allocated

Algorithm

2×	egg-herbie

Rules

496×	`accelerator-lowering-fma.f32`
496×	`accelerator-lowering-fma.f64`
248×	`distribute-rgt-in`
232×	`unsub-neg`
192×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	42	46
2	131	44
3	599	42
4	1137	42
5	1491	42
6	1525	42
7	1529	42
0	6	7
1	12	7
2	24	7
3	55	7
4	106	7
5	188	7
6	351	7
7	559	7
8	632	7
9	637	7
0	637	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain66.0ms (1%)

Memory

1.7MiB live, 117.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (51.6% of total)

ival-add: 3.0ms (22.1% of total)

ival-sub: 2.0ms (14.7% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify28.0ms (0.4%)

Memory

3.6MiB live, 42.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

496×	`accelerator-lowering-fma.f32`
496×	`accelerator-lowering-fma.f64`
192×	`-lowering-.f32`
192×	`-lowering-.f64`
136×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	12	18
2	24	18
3	55	18
4	106	18
5	188	18
6	351	18
7	559	18
8	632	18
9	637	18
0	637	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize18.0ms (0.3%)

Memory

-8.0MiB live, 30.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 1 binary64)) 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: 2.0ms (44.3% of total)

ival-sub: 1.0ms (22.1% of total)

ival-add: 1.0ms (22.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite435.0ms (6.3%)

Memory

27.3MiB live, 538.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 040×	`accelerator-lowering-fma.f32`
5 040×	`accelerator-lowering-fma.f64`
3 674×	`/-lowering-/.f32`
3 674×	`/-lowering-/.f64`
3 510×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	35	15
2	266	15
3	3349	15
0	8485	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 328

Calls

Call 1

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

Outputs
(+.f64 y (+.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) x)))
(+.f64 y (-.f64 (*.f64 x y) x))
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
(+.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (.f64 x (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (.f64 x (+.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y)))))))
(+.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))) (neg.f64 (.f64 x (/.f64 x (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))))))
(+.f64 (*.f64 x y) (+.f64 y (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 x y) (-.f64 y x))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x y)) y)
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) y) (*.f64 x y))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x))) #s(literal -1 binary64)))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(-.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (.f64 x (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (.f64 x (+.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y))))))
(-.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))) (.f64 x (/.f64 x (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y)))))
(-.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) #s(literal 0 binary64)) x)
(fma.f64 x y (+.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 x y (-.f64 y x))
(fma.f64 x #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
(fma.f64 #s(literal 1 binary64) y (+.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1 binary64) y (-.f64 (*.f64 x y) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (+.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (-.f64 y x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 0 binary64) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y)) (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))) (neg.f64 (.f64 x (/.f64 x (+.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y))))))
(fma.f64 y x (+.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 y x (-.f64 y x))
(fma.f64 y #s(literal 1 binary64) (+.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 y #s(literal 1 binary64) (-.f64 (*.f64 x y) x))
(fma.f64 y (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 y (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) y)) (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))) (neg.f64 (.f64 x (/.f64 x (+.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y))))))
(fma.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))) (neg.f64 (.f64 x (/.f64 x (+.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y))))))
(fma.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (.f64 x (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (.f64 x (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y)))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))) y) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (.f64 x (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (.f64 x (+.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y)))))))
(fma.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))) (neg.f64 (.f64 x (/.f64 x (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))))))
(fma.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (.f64 x (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (.f64 x (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y)))))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
(fma.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) y) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 y (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (.f64 x (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (.f64 x (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y)))))))
(fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (.f64 x (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (.f64 x (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y)))))))
(fma.f64 #s(literal -1 binary64) x (*.f64 (+.f64 x #s(literal 1 binary64)) y))
(fma.f64 (pow.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) #s(literal 3/2 binary64)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (.f64 x (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y))) (.f64 x (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y)))))))
(fma.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y y) (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))) (neg.f64 (.f64 x (/.f64 x (+.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y))))))
(fma.f64 (.f64 y y) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))) (neg.f64 (.f64 x (/.f64 x (+.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y))))))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (+.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (-.f64 y x))
(fma.f64 (.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) y)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))) (neg.f64 (.f64 x (/.f64 x (+.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y))))))
(fma.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) y)) (/.f64 y (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) y))) (neg.f64 (.f64 x (/.f64 x (+.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y))))))
(fma.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) x))
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simplify370.0ms (5.3%)

Memory

-8.5MiB live, 344.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 192×	`-lowering-.f32`
4 192×	`-lowering-.f64`
3 480×	`accelerator-lowering-fma.f32`
3 480×	`accelerator-lowering-fma.f64`
1 904×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	291
1	140	291
2	363	291
3	982	291
4	2455	291
5	3596	291
6	4360	291
7	5305	291
8	5831	291
9	6397	291
10	7440	291
0	8109	250

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval60.0ms (0.9%)

Memory: 18.8MiB live, 94.3MiB allocated
Compiler: Compiled 13 021 to 1 048 computations (92% saved)

prune67.0ms (1%)

Memory

-20.2MiB live, 115.5MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	381	7	388
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	382	7	389

Accuracy

100.0%

Counts

389 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (+.f64 (*.f64 x y) y) x)
	64.2%	(-.f64 (*.f64 y x) x)
▶	77.4%	(-.f64 y x)
▶	42.2%	(-.f64 #s(literal 0 binary64) x)
	59.6%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	64.2%	(*.f64 x (+.f64 y #s(literal -1 binary64)))
▶	37.5%	y

Compiler

Compiled 86 to 56 computations (34.9% saved)

simplify46.0ms (0.7%)

Memory

8.5MiB live, 46.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

496×	`accelerator-lowering-fma.f32`
496×	`accelerator-lowering-fma.f64`
192×	`-lowering-.f32`
192×	`-lowering-.f64`
136×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	28	38
2	48	38
3	80	38
4	136	38
5	266	38
6	399	38
7	471	38
8	487	38
0	487	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize38.0ms (0.5%)

Memory

-2.6MiB live, 76.2MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (+.f64 (*.f64 x y) y) x)
✓	accuracy	100.0%	(+.f64 (*.f64 x y) y)

Samples

21.0ms

256×

valid

Compiler

Compiled 41 to 13 computations (68.3% saved)

Precisions

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

ival-mult: 5.0ms (46.4% of total)

ival-sub: 3.0ms (27.8% of total)

ival-add: 2.0ms (18.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-26.1MiB live, 11.8MiB allocated

Counts

7 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite484.0ms (7%)

Memory

23.4MiB live, 657.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 616×	`accelerator-lowering-fma.f32`
4 616×	`accelerator-lowering-fma.f64`
4 356×	`-lowering-.f32`
4 356×	`-lowering-.f64`
4 240×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	81	28
2	722	28
0	9149	26

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 419

Calls

Call 1

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

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

simplify343.0ms (5%)

Memory

19.9MiB live, 377.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 886×	`accelerator-lowering-fma.f32`
4 886×	`accelerator-lowering-fma.f64`
4 136×	`-lowering-.f32`
4 136×	`-lowering-.f64`
1 706×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	563
1	195	563
2	502	563
3	1084	563
4	2920	563
5	4442	563
6	5859	563
7	6474	563
8	7113	563
9	7745	563
0	8164	522

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval84.0ms (1.2%)

Memory: -46.8MiB live, 138.5MiB allocated
Compiler: Compiled 14 051 to 1 265 computations (91% saved)

prune110.0ms (1.6%)

Memory

8.9MiB live, 91.9MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	561	2	563
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	562	8	570

Accuracy

100.0%

Counts

570 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 (*.f64 x y) y) x)
▶	64.2%	(-.f64 (*.f64 y x) x)
✓	77.4%	(-.f64 y x)
▶	59.6%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	24.8%	(*.f64 y x)
✓	64.2%	(*.f64 x (+.f64 y #s(literal -1 binary64)))
▶	42.2%	(neg.f64 x)
✓	37.5%	y

Compiler

Compiled 47 to 30 computations (36.2% saved)

simplify105.0ms (1.5%)

Memory

-10.2MiB live, 29.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

288×	`accelerator-lowering-fma.f32`
288×	`accelerator-lowering-fma.f64`
160×	`-lowering-.f32`
160×	`-lowering-.f64`
88×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	22	29
2	31	29
3	54	29
4	81	29
5	129	29
6	236	29
7	291	29
8	334	29
9	410	29
10	416	29
0	416	28

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize43.0ms (0.6%)

Memory

6.4MiB live, 45.1MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

34.0ms

256×

valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

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

ival-mult: 3.0ms (40% of total)

ival-sub: 1.0ms (13.3% of total)

ival-add: 1.0ms (13.3% of total)

ival-neg: 1.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite797.0ms (11.5%)

Memory

14.5MiB live, 763.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 940×	`accelerator-lowering-fma.f32`
7 940×	`accelerator-lowering-fma.f64`
3 786×	`/-lowering-/.f32`
3 786×	`/-lowering-/.f64`
3 206×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	45	18
2	301	18
3	2910	17
0	10883	15

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 430

Calls

Call 1

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

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

simplify289.0ms (4.2%)

Memory

12.9MiB live, 414.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 734×	`-lowering-.f32`
4 734×	`-lowering-.f64`
3 568×	`accelerator-lowering-fma.f32`
3 568×	`accelerator-lowering-fma.f64`
1 862×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	351
1	112	351
2	257	351
3	589	351
4	1600	351
5	2967	351
6	4016	351
7	5208	351
8	6015	351
9	6828	351
0	8024	330

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval75.0ms (1.1%)

Memory: -23.8MiB live, 165.8MiB allocated
Compiler: Compiled 13 841 to 1 126 computations (91.9% saved)

prune62.0ms (0.9%)

Memory

-2.4MiB live, 158.4MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	575	2	577
Fresh	0	0	0
Picked	1	3	4
Done	1	3	4
Total	577	8	585

Accuracy

100.0%

Counts

585 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.2%	(-.f64 (*.f64 y x) x)
✓	77.4%	(-.f64 y x)
▶	59.6%	(+.f64 (*.f64 x y) y)
✓	24.8%	(*.f64 y x)
✓	64.2%	(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓	42.2%	(neg.f64 x)
✓	37.5%	y
▶	2.6%	x

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify5.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(+.f64 (*.f64 x y) y)

Rules

28×	`-lowering-.f32`
28×	`-lowering-.f64`
16×	`accelerator-lowering-fma.f32`
16×	`accelerator-lowering-fma.f64`
8×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
1	9	11
2	13	11
3	19	11
4	19	11
5	32	11
6	32	11
0	32	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
x
(+ (* x y) y)
(* x y)
x
y

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

localize16.0ms (0.2%)

Memory

-6.5MiB live, 32.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (*.f64 x y) y)

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (59% of total)

ival-add: 1.0ms (29.5% of total)

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

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

series1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (+ (* x y) y)>
#<alt (* x y)>

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

12 calls:

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

rewrite512.0ms (7.4%)

Memory

-5.8MiB live, 841.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 542×	`accelerator-lowering-fma.f32`
11 542×	`accelerator-lowering-fma.f64`
4 412×	`/-lowering-/.f32`
4 412×	`/-lowering-/.f64`
4 066×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	22	8
2	159	8
3	1556	8
0	8263	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 182

Calls

Call 1

Inputs
(+ (* x y) y)
(* x y)

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

simplify316.0ms (4.6%)

Memory

8.9MiB live, 241.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 752×	`accelerator-lowering-fma.f32`
3 752×	`accelerator-lowering-fma.f64`
2 176×	`-lowering-.f32`
2 176×	`-lowering-.f64`
1 350×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	184
1	64	184
2	151	184
3	326	184
4	782	184
5	1774	184
6	2592	184
7	3398	184
8	3879	184
9	4130	184
10	4142	184
11	4142	184
12	4645	184
13	5274	184
14	5625	184
15	5773	184
16	5897	184
17	6418	184
18	7426	184
19	7624	184
20	7822	184
21	7840	184
0	8383	163

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval25.0ms (0.4%)

Memory: 12.1MiB live, 49.7MiB allocated
Compiler: Compiled 8 266 to 491 computations (94.1% saved)

prune27.0ms (0.4%)

Memory

-6.3MiB live, 70.5MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	230	8	238

Accuracy

100.0%

Counts

238 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.2%	(-.f64 (*.f64 y x) x)
✓	77.4%	(-.f64 y x)
✓	59.6%	(+.f64 (*.f64 x y) y)
✓	24.8%	(*.f64 y x)
✓	64.2%	(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓	42.2%	(neg.f64 x)
✓	37.5%	y
✓	2.6%	x

Compiler

Compiled 90 to 45 computations (50% saved)

regimes14.0ms (0.2%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (*.f64 x y) y) x)

Calls

3 calls:

4.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
4.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes68.0ms (1%)

Memory

-18.1MiB live, 24.6MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

59.0ms	y
4.0ms	x
4.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
99.1%	3	`x`
99.2%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-24.2MiB live, 15.1MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
99.1%	3	`x`
82.9%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
82.9%	3	`y`
82.5%	4	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-23.9MiB live, 14.6MiB allocated

Counts

5 → 5

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
69.9%	6	`x`
72.3%	5	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
x
y
(neg.f64 x)

Outputs
y
(neg.f64 x)
y

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
66.8%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
x
y

Outputs
y

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
37.5%	1	`x`
37.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
2.6%	1	`y`
2.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch24.0ms (0.3%)

Memory

11.0MiB live, 48.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.843666728028452e-12	5.539410669455236
11.0ms	-9.895318621386314	-4.988506516421306e-5

Samples

13.0ms

304×

valid

Compiler

Compiled 278 to 191 computations (31.3% saved)

Precisions

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

ival-add: 2.0ms (37.2% of total)

ival-mult: 2.0ms (37.2% of total)

ival-sub: 1.0ms (18.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.4%)

Memory

-3.8MiB live, 44.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.843666728028452e-12	5.539410669455236
16.0ms	-9.895318621386314	-4.988506516421306e-5

Samples

17.0ms

304×

valid

Compiler

Compiled 278 to 201 computations (27.7% saved)

Precisions

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

ival-add: 2.0ms (37.1% of total)

ival-mult: 2.0ms (37.1% of total)

ival-sub: 1.0ms (18.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.4%)

Memory

-32.9MiB live, 43.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.562827500737761e-8	0.0007226317717636522
13.0ms	-4569.958159753086	-0.00011546301056244986

Samples

13.0ms

272×

valid

Compiler

Compiled 250 to 181 computations (27.6% saved)

Precisions

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

ival-add: 4.0ms (52.2% of total)

ival-mult: 2.0ms (26.1% of total)

ival-sub: 1.0ms (13.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.3%)

Memory

3.2MiB live, 41.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	9.824824690998208e+265	3.9475498843571183e+267
9.0ms	-1.993292147315791e+220	-9.312390967888946e+216

Samples

9.0ms

240×

valid

Compiler

Compiled 192 to 131 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (46.2% of total)

ival-sub: 1.0ms (23.1% of total)

ival-add: 1.0ms (23.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch176.0ms (2.5%)

Memory

21.5MiB live, 103.2MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
145.0ms	9.824824690998208e+265	3.9475498843571183e+267
7.0ms	5.8433687044342264e-64	4.239640194950402e-62
11.0ms	-5.51415816153473e-98	-1.5841136524639783e-101
8.0ms	-1.993292147315791e+220	-9.312390967888946e+216

Samples

21.0ms

480×

valid

Compiler

Compiled 297 to 221 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 3.0ms (35.1% of total)

ival-mult: 3.0ms (35.1% of total)

ival-sub: 2.0ms (23.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch35.0ms (0.5%)

Memory

6.0MiB live, 43.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	5.8433687044342264e-64	4.239640194950402e-62
26.0ms	-5.51415816153473e-98	-1.5841136524639783e-101

Samples

26.0ms	239×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 147 to 116 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 19.0ms (88% of total)

ival-add: 1.0ms (4.6% of total)

ival-sub: 1.0ms (4.6% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

simplify12.0ms (0.2%)

Memory

-7.3MiB live, 31.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
8×	`*-commutative_binary64`
8×	`sub-neg_binary64`
8×	`if-if-or-not_binary32`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	124
1	79	124
2	84	124
3	85	124

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 (*.f64 x y) y) x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 y x) (+.f64 (.f64 x y) y)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 y x) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 6456360425798343/9223372036854775808 binary64)) (-.f64 y x) (.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -15999999999999999441350222167720310681485682090017501474736697523053330982384824597075149067308794004755543648258968331642786698239117604621593957687585957527624742281207995039704773568289012465955654575747000083607977984 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 2399999999999999844607247110864669679965935958935293831115344869823062219446028128670301753615191543731448351656380340682447549500856448420374084951707119670371410939295699071336496514814287662873393200645371126090809202909121935828311238362919324815068216200238465024 binary64)) (-.f64 y x) (.f64 y x)))
(if (<=.f64 y #s(literal -359999999999999990565665317594406149980052103922443130075804035146694162293044505828635888457040022300223289723511401659564358134459455634851671730356011778798898383434557447313278130589464009684164971215360299479597056 binary64)) (.f64 y x) (if (<=.f64 y #s(literal -634895607656747/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) y (if (<=.f64 y #s(literal 303954234247955/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (neg.f64 x) (if (<=.f64 y #s(literal 620000000000000001860597917403316100472083225448047359430014877221248116537683496629388494201517249170374414054019871972692897142254171951045367722898625075498652686946105703514143918029868729566935093669223079399517722824749529720345215200302614879752176941223903232 binary64)) y (.f64 y x)))))
(if (<=.f64 y #s(literal -8157446595347295/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) y (if (<=.f64 y #s(literal 7642277889662869/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (neg.f64 x) y))
y
x

Outputs
(-.f64 (+.f64 (*.f64 x y) y) x)
(-.f64 (+.f64 y (*.f64 x y)) x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) x)
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 y x) (+.f64 (.f64 x y) y)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 y x) (+.f64 y (.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 y x) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 6456360425798343/9223372036854775808 binary64)) (-.f64 y x) (.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -15999999999999999441350222167720310681485682090017501474736697523053330982384824597075149067308794004755543648258968331642786698239117604621593957687585957527624742281207995039704773568289012465955654575747000083607977984 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 2399999999999999844607247110864669679965935958935293831115344869823062219446028128670301753615191543731448351656380340682447549500856448420374084951707119670371410939295699071336496514814287662873393200645371126090809202909121935828311238362919324815068216200238465024 binary64)) (-.f64 y x) (.f64 y x)))
(if (<=.f64 y #s(literal -15999999999999999441350222167720310681485682090017501474736697523053330982384824597075149067308794004755543648258968331642786698239117604621593957687585957527624742281207995039704773568289012465955654575747000083607977984 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 2399999999999999844607247110864669679965935958935293831115344869823062219446028128670301753615191543731448351656380340682447549500856448420374084951707119670371410939295699071336496514814287662873393200645371126090809202909121935828311238362919324815068216200238465024 binary64)) (-.f64 y x) (.f64 x y)))
(if (<=.f64 y #s(literal -359999999999999990565665317594406149980052103922443130075804035146694162293044505828635888457040022300223289723511401659564358134459455634851671730356011778798898383434557447313278130589464009684164971215360299479597056 binary64)) (.f64 y x) (if (<=.f64 y #s(literal -634895607656747/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) y (if (<=.f64 y #s(literal 303954234247955/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (neg.f64 x) (if (<=.f64 y #s(literal 620000000000000001860597917403316100472083225448047359430014877221248116537683496629388494201517249170374414054019871972692897142254171951045367722898625075498652686946105703514143918029868729566935093669223079399517722824749529720345215200302614879752176941223903232 binary64)) y (.f64 y x)))))
(if (<=.f64 y #s(literal -359999999999999990565665317594406149980052103922443130075804035146694162293044505828635888457040022300223289723511401659564358134459455634851671730356011778798898383434557447313278130589464009684164971215360299479597056 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -634895607656747/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) y (if (<=.f64 y #s(literal 303954234247955/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 y #s(literal 620000000000000001860597917403316100472083225448047359430014877221248116537683496629388494201517249170374414054019871972692897142254171951045367722898625075498652686946105703514143918029868729566935093669223079399517722824749529720345215200302614879752176941223903232 binary64)) y (.f64 x y)))))
(if (<=.f64 y #s(literal -8157446595347295/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) y (if (<=.f64 y #s(literal 7642277889662869/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (neg.f64 x) y))
(if (<=.f64 y #s(literal -8157446595347295/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) y (if (<=.f64 y #s(literal 7642277889662869/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (-.f64 #s(literal 0 binary64) x) y))
y
x

soundness1.3s (18.9%)

Memory

9.8MiB live, 726.7MiB allocated

Rules

7 940×	`accelerator-lowering-fma.f32`
7 940×	`accelerator-lowering-fma.f64`
5 040×	`accelerator-lowering-fma.f32`
5 040×	`accelerator-lowering-fma.f64`
4 886×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	291
1	140	291
2	363	291
3	982	291
4	2455	291
5	3596	291
6	4360	291
7	5305	291
8	5831	291
9	6397	291
10	7440	291
0	8109	250
0	6	15
1	35	15
2	266	15
3	3349	15
0	8485	13
0	11	28
1	81	28
2	722	28
0	9149	26
0	63	563
1	195	563
2	502	563
3	1084	563
4	2920	563
5	4442	563
6	5859	563
7	6474	563
8	7113	563
9	7745	563
0	8164	522
0	8	18
1	45	18
2	301	18
3	2910	17
0	10883	15

Stop Event

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

Compiler

Compiled 265 to 136 computations (48.7% saved)

preprocess113.0ms (1.6%)

Memory: -15.3MiB live, 139.0MiB allocated
Compiler: Compiled 294 to 112 computations (61.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	18
1	12	18
2	24	18
3	55	18
4	106	18
5	188	18
6	351	18
7	559	18
8	632	18
9	637	18
0	637	16

Iter	Nodes	Cost
0	8	29
1	22	29
2	31	29
3	54	29
4	81	29
5	129	29
6	236	29
7	291	29
8	334	29
9	410	29
10	416	29
0	416	28

Iter	Nodes	Cost
0	6	18
1	12	18
2	24	18
3	55	18
4	106	18
5	188	18
6	351	18
7	559	18
8	632	18
9	637	18
0	637	16

Iter	Nodes	Cost
0	8	29
1	22	29
2	31	29
3	54	29
4	81	29
5	129	29
6	236	29
7	291	29
8	334	29
9	410	29
10	416	29
0	416	28

analyze0.0ms (0%)

sample551.0ms (8%)

preprocess67.0ms (1%)

explain66.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify28.0ms (0.4%)

localize18.0ms (0.3%)

series3.0ms (0%)

rewrite435.0ms (6.3%)

simplify370.0ms (5.3%)

eval60.0ms (0.9%)

prune67.0ms (1%)

simplify46.0ms (0.7%)

localize38.0ms (0.5%)

series7.0ms (0.1%)

rewrite484.0ms (7%)

simplify343.0ms (5%)

eval84.0ms (1.2%)

prune110.0ms (1.6%)

simplify105.0ms (1.5%)

localize43.0ms (0.6%)

series1.0ms (0%)

rewrite797.0ms (11.5%)

simplify289.0ms (4.2%)

eval75.0ms (1.1%)

prune62.0ms (0.9%)

simplify5.0ms (0.1%)

localize16.0ms (0.2%)

series1.0ms (0%)

rewrite512.0ms (7.4%)

simplify316.0ms (4.6%)

eval25.0ms (0.4%)

prune27.0ms (0.4%)

regimes14.0ms (0.2%)

regimes68.0ms (1%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch24.0ms (0.3%)

bsearch29.0ms (0.4%)

bsearch27.0ms (0.4%)

bsearch21.0ms (0.3%)

bsearch176.0ms (2.5%)

bsearch35.0ms (0.5%)

simplify12.0ms (0.2%)

soundness1.3s (18.9%)

preprocess113.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
1	12	18
2	24	18
3	55	18
4	106	18
5	188	18
6	351	18
7	559	18
8	632	18
9	637	18
0	637	16

Iter	Nodes	Cost
0	8	29
1	22	29
2	31	29
3	54	29
4	81	29
5	129	29
6	236	29
7	291	29
8	334	29
9	410	29
10	416	29
0	416	28