Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, A

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 7 computations (22.2% saved)

sample1.3s (17.5%)

Memory

19.6MiB live, 731.3MiB allocated

Samples

1.1s	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 569.0ms

ival-mult: 191.0ms (33.5% of total)

ival-sub: 190.0ms (33.4% of total)

ival-add: 180.0ms (31.6% of total)

ival-true: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess77.0ms (1.1%)

Memory

-1.4MiB live, 35.1MiB allocated

Algorithm

2×	egg-herbie

Rules

496×	`accelerator-lowering-fma.f32`
496×	`accelerator-lowering-fma.f64`
236×	`cancel-sign-sub-inv`
206×	`sub-neg`
192×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	60	42
2	166	42
3	457	42
4	977	42
5	1249	42
6	1273	42
0	5	7
1	14	7
2	34	7
3	63	7
4	105	7
5	218	7
6	344	7
7	507	7
8	543	7
9	545	7
0	545	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(sort x y)

explain72.0ms (1%)

Memory

-1.8MiB live, 82.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (+.f64 x y) (*.f64 x y))`
-	-	`y`
-	-	`(+.f64 x y)`
-	-	`(*.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

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

ival-mult: 4.0ms (43.1% of total)

ival-add: 3.0ms (32.3% of total)

ival-sub: 2.0ms (21.6% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (+.f64 x y) (*.f64 x y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify38.0ms (0.5%)

Memory

-11.9MiB live, 26.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	192	(-.f64 (+.f64 x y) (*.f64 x y))

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	5	15
1	14	15
2	34	15
3	63	15
4	105	15
5	218	15
6	344	15
7	507	15
8	543	15
9	545	15
0	545	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize16.0ms (0.2%)

Memory

24.7MiB live, 24.7MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-mult: 2.0ms (45.1% of total)

ival-sub: 1.0ms (22.5% of total)

ival-add: 1.0ms (22.5% of total)

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

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

series4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

18 calls:

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

rewrite343.0ms (4.8%)

Memory

-1.1MiB live, 670.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 194×	`accelerator-lowering-fma.f32`
5 194×	`accelerator-lowering-fma.f64`
4 332×	`-lowering-.f32`
4 332×	`-lowering-.f64`
2 332×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	38	13
2	353	13
3	5360	13
0	8305	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 189

Calls

Call 1

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

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

simplify640.0ms (8.9%)

Memory

2.2MiB live, 999.6MiB allocated

Algorithm

1×	egg-herbie

Rules

19 840×	`accelerator-lowering-fma.f32`
19 840×	`accelerator-lowering-fma.f64`
4 022×	`associate-*r/`
3 856×	`/-lowering-/.f32`
3 856×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	280
1	125	280
2	282	280
3	848	280
4	2183	280
5	3268	280
6	4153	280
7	4757	280
8	5102	280
9	5329	280
10	5424	280
11	5464	280
12	5484	280
13	5484	280
14	5502	280
15	5502	280
0	9585	262

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval54.0ms (0.7%)

Memory: 3.2MiB live, 83.6MiB allocated
Compiler: Compiled 7 490 to 558 computations (92.6% saved)

prune68.0ms (0.9%)

Memory

3.0MiB live, 79.7MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	256	5	261
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	257	5	262

Accuracy

100.0%

Counts

262 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
▶	70.3%	(-.f64 y (*.f64 x y))
▶	59.2%	(-.f64 x (*.f64 x y))
▶	43.1%	y
▶	31.8%	x

Compiler

Compiled 56 to 34 computations (39.3% saved)

simplify27.0ms (0.4%)

Memory

-1.6MiB live, 40.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	0	(-.f64 y (*.f64 x y))
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	0	(-.f64 x (*.f64 x y))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(fma.f64 y (-.f64 #s(literal 1 binary64) x) 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	9	35
1	22	35
2	41	35
3	72	35
4	143	35
5	266	35
6	395	35
7	514	35
8	526	35
9	526	35
0	526	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize37.0ms (0.5%)

Memory

1.0MiB live, 79.2MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

27.0ms

256×

valid

Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions

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

ival-sub: 4.0ms (42.2% of total)

ival-mult: 4.0ms (42.2% of total)

ival-add: 1.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite591.0ms (8.2%)

Memory

-29.1MiB live, 663.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 026×	`accelerator-lowering-fma.f32`
7 026×	`accelerator-lowering-fma.f64`
4 444×	`-lowering-.f32`
4 444×	`-lowering-.f64`
3 166×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	65	23
2	531	23
3	7116	23
0	8554	22

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 412

Calls

Call 1

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

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

simplify288.0ms (4%)

Memory

19.0MiB live, 417.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 142×	`-lowering-.f32`
4 142×	`-lowering-.f64`
3 496×	`accelerator-lowering-fma.f32`
3 496×	`accelerator-lowering-fma.f64`
2 228×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	480
1	171	480
2	409	480
3	1332	480
4	2766	480
5	3761	480
6	4382	480
7	5101	480
8	5646	480
9	6174	480
10	7337	480
0	8311	462

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval64.0ms (0.9%)

Memory: 2.4MiB live, 158.4MiB allocated
Compiler: Compiled 13 274 to 1 007 computations (92.4% saved)

prune94.0ms (1.3%)

Memory

-13.9MiB live, 105.5MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	546	2	548
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	547	6	553

Accuracy

100.0%

Counts

553 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.2%	(fma.f64 y #s(literal 1 binary64) x)
✓	70.3%	(-.f64 y (*.f64 x y))
✓	59.2%	(-.f64 x (*.f64 x y))
▶	70.3%	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	43.1%	y
✓	31.8%	x

Compiler

Compiled 33 to 21 computations (36.4% saved)

simplify19.0ms (0.3%)

Memory

-10.8MiB live, 27.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

224×	`accelerator-lowering-fma.f32`
224×	`accelerator-lowering-fma.f64`
128×	`-lowering-.f32`
128×	`-lowering-.f64`
72×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	15	17
2	30	17
3	60	17
4	106	17
5	139	17
6	180	17
7	251	17
8	299	17
9	338	17
10	357	17
11	376	17
12	378	17
0	378	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize23.0ms (0.3%)

Memory

1.0MiB live, 37.8MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

13.0ms

256×

valid

Compiler

Compiled 20 to 9 computations (55% saved)

Precisions

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

ival-mult: 3.0ms (50.1% of total)

ival-sub: 1.0ms (16.7% of total)

ival-add: 1.0ms (16.7% 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

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite365.0ms (5.1%)

Memory

11.5MiB live, 526.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 400×	`accelerator-lowering-fma.f32`
5 400×	`accelerator-lowering-fma.f64`
4 274×	`/-lowering-/.f32`
4 274×	`/-lowering-/.f64`
3 506×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	39	11
2	259	11
3	2338	11
0	9236	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 356

Calls

Call 1

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

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

simplify420.0ms (5.9%)

Memory

-12.5MiB live, 547.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 628×	`accelerator-lowering-fma.f32`
9 628×	`accelerator-lowering-fma.f64`
4 926×	`-lowering-.f32`
4 926×	`-lowering-.f64`
4 016×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	227
1	110	206
2	246	206
3	638	206
4	1366	206
5	2137	206
6	2582	206
7	2900	206
8	3054	206
9	3130	206
10	6722	206
0	8284	206

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval101.0ms (1.4%)

Memory: 20.9MiB live, 95.7MiB allocated
Compiler: Compiled 10 264 to 1 147 computations (88.8% saved)

prune102.0ms (1.4%)

Memory

-19.1MiB live, 100.3MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	415	1	416
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	416	6	422

Accuracy

100.0%

Counts

422 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.3%	(-.f64 y (*.f64 x y))
✓	59.2%	(-.f64 x (*.f64 x y))
▶	72.2%	(+.f64 y x)
✓	70.3%	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	43.1%	y
✓	31.8%	x

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
1	4	5
0	4	5

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ y x)
y
x

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

localize11.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Localize:

Found 1 expressions of interest:

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

Samples

7.0ms

256×

valid

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

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

ival-add: 1.0ms (59.9% of total)

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

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

series0.0ms (0%)

Memory

0.7MiB live, 0.8MiB allocated

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (+ y x)>

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

Calls

6 calls:

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

rewrite401.0ms (5.6%)

Memory

-7.9MiB live, 680.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 112×	`accelerator-lowering-fma.f32`
7 112×	`accelerator-lowering-fma.f64`
4 142×	`-lowering-.f32`
4 142×	`-lowering-.f64`
4 094×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	17	3
2	127	3
3	1232	3
0	8788	3

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 188

Calls

Call 1

Inputs
(+ y x)

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

simplify280.0ms (3.9%)

Memory

-11.1MiB live, 427.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 560×	`-lowering-.f32`
3 560×	`-lowering-.f64`
3 112×	`/-lowering-/.f32`
3 112×	`/-lowering-/.f64`
2 108×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	60
1	57	60
2	127	60
3	385	60
4	1074	60
5	1996	60
6	2686	60
7	3191	60
8	3630	60
9	3830	60
10	3864	60
11	4600	60
12	4833	60
13	5567	60
14	6599	60
15	7548	60
0	8078	60

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

eval37.0ms (0.5%)

Memory: 20.8MiB live, 59.6MiB allocated
Compiler: Compiled 6 985 to 476 computations (93.2% saved)

prune28.0ms (0.4%)

Memory

-5.4MiB live, 72.1MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	212	6	218

Accuracy

100.0%

Counts

218 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.3%	(-.f64 y (*.f64 x y))
✓	59.2%	(-.f64 x (*.f64 x y))
✓	72.2%	(+.f64 y x)
✓	70.3%	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	43.1%	y
✓	31.8%	x

Compiler

Compiled 71 to 33 computations (53.5% saved)

regimes12.0ms (0.2%)

Memory

-16.4MiB live, 22.2MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
3.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
3.0ms	x

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes10.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
3.0ms	y

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes10.0ms (0.1%)

Memory

-18.7MiB live, 20.3MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
3.0ms	x
3.0ms	(-.f64 (+.f64 x y) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.4%	3	`x`
99.7%	3	`y`
99.2%	2	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
99.2%	2	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes5.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	(-.f64 (+.f64 x y) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.4%	3	`y`
94.0%	3	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes15.0ms (0.2%)

Memory

-44.8MiB live, 14.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
(+.f64 y x)

Calls

3 calls:

11.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
72.2%	1	`(-.f64 (+.f64 x y) (*.f64 x y))`
72.2%	1	`x`
72.2%	1	`y`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes5.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

3 calls:

2.0ms	y
1.0ms	x
1.0ms	(-.f64 (+.f64 x y) (*.f64 x y))

Results

Accuracy	Segments	Branch
72.0%	2	`(-.f64 (+.f64 x y) (*.f64 x y))`
64.1%	2	`x`
64.5%	2	`y`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
31.8%	1	`x`
31.8%	1	`y`
31.8%	1	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.4797214823764746e-301	7.535852605948847e-252

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.4797214823764746e-301	7.535852605948847e-252

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch30.0ms (0.4%)

Memory

-6.8MiB live, 32.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.1603641306856817e-10	2.0873586756681207e-7
12.0ms	-7.024437044775856e+19	-4.304622048999176e-12

Samples

11.0ms

304×

valid

Compiler

Compiled 278 to 200 computations (28.1% saved)

Precisions

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

ival-add: 2.0ms (38.1% of total)

ival-mult: 2.0ms (38.1% of total)

ival-sub: 1.0ms (19.1% of total)

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

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

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.4797214823764746e-301	7.535852605948847e-252

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify10.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
12×	`cancel-sign-sub-inv_binary64`
10×	`*-commutative_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	86
1	43	86
2	58	86
3	64	86
4	68	86
5	69	86

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -4825645764048353/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496 binary64)) (-.f64 x (.f64 x y)) (-.f64 y (*.f64 x y)))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -4825645764048353/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496 binary64)) (-.f64 x (.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) y) (if (<=.f64 y #s(literal 3872340515953109/18889465931478580854784 binary64)) (+.f64 y x) (.f64 (-.f64 #s(literal 1 binary64) x) y)))
(+.f64 y x)
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -4825645764048353/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496 binary64)) x y)
x

Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -4825645764048353/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496 binary64)) (-.f64 x (.f64 x y)) (-.f64 y (*.f64 x y)))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -4825645764048353/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496 binary64)) (-.f64 x (.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(if (<=.f64 (-.f64 (+.f64 x y) (.f64 x y)) #s(literal -4825645764048353/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496 binary64)) (-.f64 x (.f64 x y)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) y) (if (<=.f64 y #s(literal 3872340515953109/18889465931478580854784 binary64)) (+.f64 y x) (.f64 (-.f64 #s(literal 1 binary64) x) y)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 3872340515953109/18889465931478580854784 binary64)) (+.f64 x y) (.f64 y (-.f64 #s(literal 1 binary64) x))))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -4825645764048353/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496 binary64)) x y)
x

soundness1.5s (20.8%)

Memory

8.9MiB live, 558.4MiB allocated

Rules

19 840×	`accelerator-lowering-fma.f32`
19 840×	`accelerator-lowering-fma.f64`
7 026×	`accelerator-lowering-fma.f32`
7 026×	`accelerator-lowering-fma.f64`
5 400×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	39	11
2	259	11
3	2338	11
0	9236	11
0	57	480
1	171	480
2	409	480
3	1332	480
4	2766	480
5	3761	480
6	4382	480
7	5101	480
8	5646	480
9	6174	480
10	7337	480
0	8311	462
0	9	23
1	65	23
2	531	23
3	7116	23
0	8554	22
0	42	280
1	125	280
2	282	280
3	848	280
4	2183	280
5	3268	280
6	4153	280
7	4757	280
8	5102	280
9	5329	280
10	5424	280
11	5464	280
12	5484	280
13	5484	280
14	5502	280
15	5502	280
0	9585	262

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

Compiler

Compiled 196 to 87 computations (55.6% saved)

preprocess124.0ms (1.7%)

Memory: 4.7MiB live, 130.6MiB allocated
Remove: (sort x y)
Compiler: Compiled 256 to 84 computations (67.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	15
1	14	15
2	34	15
3	63	15
4	105	15
5	218	15
6	344	15
7	507	15
8	543	15
9	545	15
0	545	14

Iter	Nodes	Cost
0	9	35
1	22	35
2	41	35
3	72	35
4	143	35
5	266	35
6	395	35
7	514	35
8	526	35
9	526	35
0	526	34

Iter	Nodes	Cost
0	7	17
1	15	17
2	30	17
3	60	17
4	106	17
5	139	17
6	180	17
7	251	17
8	299	17
9	338	17
10	357	17
11	376	17
12	378	17
0	378	17

Iter	Nodes	Cost
0	5	15
1	14	15
2	34	15
3	63	15
4	105	15
5	218	15
6	344	15
7	507	15
8	543	15
9	545	15
0	545	14

Iter	Nodes	Cost
0	9	35
1	22	35
2	41	35
3	72	35
4	143	35
5	266	35
6	395	35
7	514	35
8	526	35
9	526	35
0	526	34

Iter	Nodes	Cost
0	7	17
1	15	17
2	30	17
3	60	17
4	106	17
5	139	17
6	180	17
7	251	17
8	299	17
9	338	17
10	357	17
11	376	17
12	378	17
0	378	17

analyze0.0ms (0%)

sample1.3s (17.5%)

preprocess77.0ms (1.1%)

explain72.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify38.0ms (0.5%)

localize16.0ms (0.2%)

series4.0ms (0.1%)

rewrite343.0ms (4.8%)

simplify640.0ms (8.9%)

eval54.0ms (0.7%)

prune68.0ms (0.9%)

simplify27.0ms (0.4%)

localize37.0ms (0.5%)

series4.0ms (0.1%)

rewrite591.0ms (8.2%)

simplify288.0ms (4%)

eval64.0ms (0.9%)

prune94.0ms (1.3%)

simplify19.0ms (0.3%)

localize23.0ms (0.3%)

series1.0ms (0%)

rewrite365.0ms (5.1%)

simplify420.0ms (5.9%)

eval101.0ms (1.4%)

prune102.0ms (1.4%)

simplify4.0ms (0.1%)

localize11.0ms (0.1%)

series0.0ms (0%)

rewrite401.0ms (5.6%)

simplify280.0ms (3.9%)

eval37.0ms (0.5%)

prune28.0ms (0.4%)

regimes12.0ms (0.2%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes15.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch30.0ms (0.4%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness1.5s (20.8%)

preprocess124.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	15
1	14	15
2	34	15
3	63	15
4	105	15
5	218	15
6	344	15
7	507	15
8	543	15
9	545	15
0	545	14

Iter	Nodes	Cost
0	9	35
1	22	35
2	41	35
3	72	35
4	143	35
5	266	35
6	395	35
7	514	35
8	526	35
9	526	35
0	526	34

Iter	Nodes	Cost
0	7	17
1	15	17
2	30	17
3	60	17
4	106	17
5	139	17
6	180	17
7	251	17
8	299	17
9	338	17
10	357	17
11	376	17
12	378	17
0	378	17