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

analyze0.0ms (0%)

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 10 to 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample702.0ms (11.3%)

Results

443.0ms	8255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-mult: 75.0ms (36.6% of total)

ival-add: 72.0ms (35.1% of total)

ival-sub: 45.0ms (21.9% of total)

const: 11.0ms (5.4% of total)

backward-pass: 3.0ms (1.5% of total)

Bogosity

preprocess98.0ms (1.6%)

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)))

explain105.0ms (1.7%)

FPErrors

Click to see full error table

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

Results

45.0ms

512×

valid

Compiler

Compiled 51 to 32 computations (37.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-add: 10.0ms (43.4% of total)

ival-mult: 9.0ms (39.1% of total)

ival-sub: 3.0ms (13% of total)

const: 2.0ms (8.7% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize96.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

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	10	34
1	25	34
2	47	34
3	68	34
4	125	34
5	212	34
6	386	34
7	528	34
8	533	34
0	533	31

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

38.0ms

256×

valid

Compiler

Compiled 39 to 23 computations (41% saved)

Precisions

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

ival-add: 10.0ms (47.2% of total)

ival-mult: 8.0ms (37.8% of total)

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

const: 1.0ms (4.7% of total)

backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

Counts

6 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite932.0ms (15%)

Algorithm

1×	batch-egg-rewrite

Rules

6756×	`accelerator-lowering-fma.f32`
6756×	`accelerator-lowering-fma.f64`
4466×	`-lowering-.f32`
4466×	`-lowering-.f64`
3206×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	70	30
2	592	30
3	7303	30
0	8435	27

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 585

Calls

Call 1

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

Outputs
(+.f64 (neg.f64 x) (*.f64 x y))
(+.f64 (*.f64 x y) (neg.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 x y)))
(-.f64 (*.f64 x y) x)
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 (.f64 x x) (.f64 x (+.f64 y #s(literal 1 binary64)))))
(-.f64 (+.f64 (*.f64 x y) #s(literal 0 binary64)) x)
(fma.f64 x y (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 x y))
(fma.f64 y x (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (neg.f64 x))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (neg.f64 x))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 x y))) (.f64 x (.f64 x (.f64 y y)))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 x (+.f64 y #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y y)))))
(/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 x y))) (.f64 x (.f64 x (.f64 y y)))))
(/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 y (neg.f64 (*.f64 x x))))))
(/.f64 (.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 x (+.f64 y #s(literal 1 binary64)))) (.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y y))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 x y))) (.f64 x (.f64 x (.f64 y y))))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 x (+.f64 y #s(literal 1 binary64))))) (neg.f64 (.f64 x (+.f64 y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (.f64 y y)))) (-.f64 (neg.f64 x) (*.f64 x y)))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64))))))
(/.f64 (.f64 x (+.f64 (neg.f64 (.f64 y y)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (.f64 y (.f64 y y)))) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64))))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 y y)) #s(literal 1 binary64)) x) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x) (-.f64 #s(literal -1 binary64) y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) x)
(.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))) x))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 x y))) (.f64 x (.f64 x (*.f64 y y))))))
(.f64 (.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))))
(.f64 (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(.f64 (.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (+.f64 y #s(literal 1 binary64)) (.f64 y y)))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64)))) (-.f64 (.f64 y y) (+.f64 y #s(literal 1 binary64))))) (-.f64 (.f64 y y) (+.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y y))) (+.f64 #s(literal -1 binary64) (.f64 y y))) (+.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y y))) (+.f64 (.f64 y (.f64 y y)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64)))))
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y)
(+.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 y (+.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (+.f64 y (neg.f64 x)))
(+.f64 (*.f64 x y) (-.f64 y x))
(+.f64 (/.f64 (.f64 y y) (-.f64 y (.f64 x (+.f64 y #s(literal -1 binary64))))) (neg.f64 (.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 y (.f64 x (+.f64 y #s(literal -1 binary64))))))))
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simplify863.0ms (13.9%)

Algorithm

1×	egg-herbie

Rules

19992×	`accelerator-lowering-fma.f32`
19992×	`accelerator-lowering-fma.f64`
4218×	`/-lowering-/.f32`
4218×	`/-lowering-/.f64`
3352×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	583
1	211	583
2	582	583
3	1354	583
4	2886	583
5	4101	583
6	4851	583
7	5303	583
8	5495	583
9	5587	583
10	5629	583
11	5649	583
12	5649	583
13	5667	583
14	5667	583
0	8902	522

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval189.0ms (3.1%)

Compiler: Compiled 22160 to 11959 computations (46% saved)

prune113.0ms (1.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	699	6	705
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	701	6	707

Accuracy

100.0%

Counts

707 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	(-.f64 (*.f64 x y) x)
▶	76.8%	(-.f64 y x)
▶	41.0%	(-.f64 #s(literal 0 binary64) x)
▶	60.7%	(+.f64 y (*.f64 x y))
▶	60.7%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	37.7%	y

Compiler

Compiled 68 to 44 computations (35.3% saved)

localize78.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(+.f64 y (*.f64 x y))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(-.f64 y x)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 y (*.f64 x y))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(-.f64 y 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	10	25
1	23	25
2	31	25
3	53	25
4	88	25
5	127	25
6	154	25
7	191	25
8	350	25
9	379	25
0	379	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

31.0ms

256×

valid

Compiler

Compiled 35 to 15 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sub: 4.0ms (31.1% of total)

ival-add: 4.0ms (31.1% of total)

ival-mult: 4.0ms (31.1% of total)

const: 1.0ms (7.8% of total)

backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts

6 → 120

Calls

Call 1

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

Outputs
#<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 (* -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 (+ 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 (* 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 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 (* 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

30 calls:

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

rewrite413.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4306×	`accelerator-lowering-fma.f32`
4306×	`accelerator-lowering-fma.f64`
2704×	`-lowering-.f32`
2704×	`-lowering-.f64`
1850×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	66	21
2	505	21
3	5911	20
0	8999	18

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 572

Calls

Call 1

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

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

simplify780.0ms (12.6%)

Algorithm

1×	egg-herbie

Rules

5020×	`accelerator-lowering-fma.f32`
5020×	`accelerator-lowering-fma.f64`
4868×	`-lowering-.f32`
4868×	`-lowering-.f64`
1424×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	413
1	114	413
2	271	413
3	628	413
4	1489	413
5	3028	413
6	4729	413
7	5746	413
8	7165	413
0	8081	371

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

Outputs
(* -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)
(* -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 (+ 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))
(* 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)))
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)))
(* 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)

eval115.0ms (1.9%)

Compiler: Compiled 12568 to 4422 computations (64.8% saved)

prune71.0ms (1.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	689	3	692
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	690	8	698

Accuracy

100.0%

Counts

698 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.6%	(-.f64 (*.f64 x y) x)
✓	76.8%	(-.f64 y x)
✓	60.7%	(+.f64 y (*.f64 x y))
✓	60.7%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	25.4%	(*.f64 y x)
▶	41.0%	(neg.f64 x)
✓	37.7%	y
▶	2.6%	x

Compiler

Compiled 41 to 26 computations (36.6% saved)

localize57.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(-.f64 (*.f64 x y) x)
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	-64	(neg.f64 x)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (*.f64 x y) x)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(neg.f64 x)

Rules

176×	`accelerator-lowering-fma.f32`
176×	`accelerator-lowering-fma.f64`
112×	`-lowering-.f32`
112×	`-lowering-.f64`
56×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	11	15
2	18	15
3	28	15
4	42	15
5	66	15
6	141	15
7	220	15
8	263	15
9	268	15
0	268	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

20.0ms

256×

valid

Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions

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

ival-mult: 4.0ms (56.8% of total)

ival-sub: 1.0ms (14.2% of total)

ival-neg: 1.0ms (14.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts

4 → 84

Calls

Call 1

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

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 (* 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))))>
#<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)>
#<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

21 calls:

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

rewrite600.0ms (9.7%)

Algorithm

1×	batch-egg-rewrite

Rules

6106×	`accelerator-lowering-fma.f32`
6106×	`accelerator-lowering-fma.f64`
3322×	`/-lowering-/.f32`
3322×	`/-lowering-/.f64`
3090×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	24	13
2	169	13
3	1792	12
0	9600	11

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 368

Calls

Call 1

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

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

simplify424.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

3552×	`accelerator-lowering-fma.f32`
3552×	`accelerator-lowering-fma.f64`
2016×	`-lowering-.f32`
2016×	`-lowering-.f64`
1472×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	281
1	64	281
2	149	281
3	276	281
4	599	281
5	1831	281
6	3095	281
7	3557	281
8	3834	281
9	4004	281
10	4038	281
11	4566	281
12	5836	281
13	6658	281
14	6986	281
15	7068	281
16	7068	281
17	7560	281
0	8092	281

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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)
(* 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))))
(* -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)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(* -1 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)
(* 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))
(* -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)
(*.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)

eval79.0ms (1.3%)

Compiler: Compiled 15422 to 5139 computations (66.7% saved)

prune59.0ms (1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	452	0	452
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	452	8	460

Accuracy

100.0%

Counts

460 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.6%	(-.f64 (*.f64 x y) x)
✓	76.8%	(-.f64 y x)
✓	60.7%	(+.f64 y (*.f64 x y))
✓	60.7%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	25.4%	(*.f64 y x)
✓	41.0%	(neg.f64 x)
✓	37.7%	y
✓	2.6%	x

Compiler

Compiled 85 to 47 computations (44.7% saved)

regimes56.0ms (0.9%)

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

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

Calls

3 calls:

44.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
8.0ms	x
4.0ms	y

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)

regimes18.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
99.0%	3	`x`
99.4%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes19.0ms (0.3%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
82.1%	5	`x`
83.3%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.2%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
69.0%	5	`x`
69.8%	5	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes39.0ms (0.6%)

Counts

3 → 3

Calls

Call 1

Inputs
x
y
(neg.f64 x)

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

Calls

2 calls:

35.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
65.6%	3	`x`
66.4%	5	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
y

Outputs
y

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
37.7%	1	`y`
37.7%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

0.0ms	y
0.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch64.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0009139651636407531	1.8864209000249639
52.0ms	-7953.751611068106	-1.0208770345348737e-9

Results

13.0ms

288×

valid

Compiler

Compiled 266 to 190 computations (28.6% saved)

Precisions

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

ival-add: 2.0ms (33.9% of total)

ival-mult: 2.0ms (33.9% of total)

ival-sub: 1.0ms (17% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
9.0ms	10214612151095607000.0	3.366739848191983e+20
30.0ms	-2.1197753795439104e+195	-1.9998957381310937e+192
9.0ms	-1.2423984546999864e+290	-2.6566810350973814e+288

Results

17.0ms

352×

valid

Compiler

Compiled 264 to 179 computations (32.2% saved)

Precisions

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

ival-mult: 3.0ms (40.7% of total)

ival-sub: 2.0ms (27.2% of total)

ival-add: 2.0ms (27.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch51.0ms (0.8%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	0.0009139651636407531	1.8864209000249639
11.0ms	-1.3639600404976385e-28	-4.4422651402128956e-32
11.0ms	-6.796579507672548e+128	-7.171611771040232e+121
11.0ms	-1.2423984546999864e+290	-2.6566810350973814e+288

Results

32.0ms

512×

valid

Compiler

Compiled 334 to 242 computations (27.5% saved)

Precisions

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

ival-mult: 4.0ms (36.4% of total)

ival-sub: 3.0ms (27.3% of total)

ival-add: 3.0ms (27.3% of total)

const: 1.0ms (9.1% of total)

backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.2629142593259365e-36	9.773677482306133e-33
13.0ms	-2.4127440410289463e-44	-1.375151294024721e-51

Results

12.0ms

272×

valid

Compiler

Compiled 167 to 129 computations (22.8% saved)

Precisions

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

ival-add: 2.0ms (36.4% of total)

ival-mult: 2.0ms (36.4% of total)

ival-sub: 1.0ms (18.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

soundness2.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 93 to 48 computations (48.4% saved)

preprocess44.0ms (0.7%)

Compiler: Compiled 204 to 108 computations (47.1% saved)

Data.Colour.SRGB:transferFunction from colour-2.3.3

analyze0.0ms (0%)

sample702.0ms (11.3%)

preprocess98.0ms (1.6%)

explain105.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize96.0ms (1.5%)

series13.0ms (0.2%)

rewrite932.0ms (15%)

simplify863.0ms (13.9%)

eval189.0ms (3.1%)

prune113.0ms (1.8%)

localize78.0ms (1.3%)

series15.0ms (0.2%)

rewrite413.0ms (6.7%)

simplify780.0ms (12.6%)

eval115.0ms (1.9%)

prune71.0ms (1.1%)

localize57.0ms (0.9%)

series5.0ms (0.1%)

rewrite600.0ms (9.7%)

simplify424.0ms (6.8%)

eval79.0ms (1.3%)

prune59.0ms (1%)

regimes56.0ms (0.9%)

regimes18.0ms (0.3%)

regimes19.0ms (0.3%)

regimes15.0ms (0.2%)

regimes39.0ms (0.6%)

regimes3.0ms (0%)

regimes1.0ms (0%)

bsearch64.0ms (1%)

bsearch50.0ms (0.8%)

bsearch51.0ms (0.8%)

bsearch25.0ms (0.4%)

soundness2.0ms (0%)

preprocess44.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	25
1	23	25
2	31	25
3	53	25
4	88	25
5	127	25
6	154	25
7	191	25
8	350	25
9	379	25
0	379	23

Iter	Nodes	Cost
0	10	25
1	23	25
2	31	25
3	53	25
4	88	25
5	127	25
6	154	25
7	191	25
8	350	25
9	379	25
0	379	23

Iter	Nodes	Cost
0	10	25
1	23	25
2	31	25
3	53	25
4	88	25
5	127	25
6	154	25
7	191	25
8	350	25
9	379	25
0	379	23