Metrics for Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H

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 8 to 6 computations (25% saved)

Precisions

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

ival-sub: 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)

sample828.0ms (28.9%)

Results

620.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-mult: 79.0ms (50.6% of total)

ival-sub: 64.0ms (41% of total)

const: 11.0ms (7% of total)

backward-pass: 3.0ms (1.9% of total)

Bogosity

preprocess42.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

176×	`accelerator-lowering-fma.f32`
176×	`accelerator-lowering-fma.f64`
112×	`-lowering-.f32`
112×	`-lowering-.f64`
104×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	41	31
2	107	30
3	322	30
4	518	30
5	611	30
0	5	5
1	10	5
2	20	5
3	36	5
4	81	5
5	112	5
6	152	5
7	217	5
8	263	5
9	299	5
10	305	5
0	305	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* x (- 1 y))

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

Call 2

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

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

Symmetry

(negabs x)

explain44.0ms (1.5%)

FPErrors

Click to see full error table

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

Results

27.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

ival-sub: 4.0ms (43.6% of total)

ival-mult: 4.0ms (43.6% of total)

const: 1.0ms (10.9% of total)

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

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize42.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

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	5	11
1	10	11
2	20	11
3	36	11
4	81	11
5	112	11
6	152	11
7	217	11
8	263	11
9	299	11
10	305	11
0	305	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

14.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-sub: 2.0ms (48.2% of total)

ival-mult: 2.0ms (48.2% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite302.0ms (10.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4132×	`accelerator-lowering-fma.f32`
4132×	`accelerator-lowering-fma.f64`
3174×	`/-lowering-/.f32`
3174×	`/-lowering-/.f64`
2856×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	23	10
2	143	10
3	1147	10
0	9795	9

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 357

Calls

Call 1

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

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

simplify486.0ms (17%)

Algorithm

1×	egg-herbie

Rules

8840×	`accelerator-lowering-fma.f32`
8840×	`accelerator-lowering-fma.f64`
2370×	`-lowering-.f32`
2370×	`-lowering-.f64`
2096×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	158
1	69	158
2	160	158
3	294	158
4	860	158
5	2433	158
6	3646	158
7	4180	158
8	4355	158
9	4392	158
10	4424	158
11	5092	158
12	5540	158
13	5641	158
14	5661	158
15	5671	158
16	5677	158
17	5677	158
18	5681	158
19	5685	158
20	6658	158
0	8363	158

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval62.0ms (2.2%)

Compiler: Compiled 11465 to 1071 computations (90.7% saved)

prune57.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	403	2	405
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	403	3	406

Accuracy

100.0%

Counts

406 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (*.f64 x y))
✓	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
▶	49.3%	x

Compiler

Compiled 17 to 11 computations (35.3% saved)

localize41.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

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	4	10
1	10	10
2	22	10
3	37	10
4	58	10
5	111	10
6	154	10
7	246	10
8	283	10
9	289	10
0	289	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

13.0ms

256×

valid

Compiler

Compiled 14 to 5 computations (64.3% saved)

Precisions

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

ival-mult: 3.0ms (61.6% of total)

ival-sub: 1.0ms (20.5% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Counts

4 → 72

Calls

Call 1

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

Outputs
#<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 x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>

Calls

18 calls:

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

rewrite553.0ms (19.3%)

Algorithm

1×	batch-egg-rewrite

Rules

7700×	`accelerator-lowering-fma.f32`
7700×	`accelerator-lowering-fma.f64`
4110×	`/-lowering-/.f32`
4110×	`/-lowering-/.f64`
3690×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	23	10
2	175	10
3	1700	10
0	8531	10

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 245

Calls

Call 1

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

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

simplify267.0ms (9.3%)

Algorithm

1×	egg-herbie

Rules

3000×	`accelerator-lowering-fma.f32`
3000×	`accelerator-lowering-fma.f64`
1896×	`-lowering-.f32`
1896×	`-lowering-.f64`
1512×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	210
1	56	210
2	100	210
3	333	210
4	884	210
5	1314	210
6	1692	210
7	2933	210
8	3590	210
9	3809	210
10	3946	210
11	3972	210
12	4940	210
13	6349	210
14	6629	210
15	6701	210
16	6721	210
17	6747	210
0	8425	210

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval42.0ms (1.5%)

Compiler: Compiled 13177 to 740 computations (94.4% saved)

prune43.0ms (1.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	381	0	381
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	381	3	384

Accuracy

100.0%

Counts

384 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 x y))
✓	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	49.3%	x

Compiler

Compiled 30 to 18 computations (40% saved)

regimes13.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	x
2.0ms	(*.f64 x (-.f64 #s(literal 1 binary64) y))
2.0ms	y
2.0ms	(-.f64 #s(literal 1 binary64) y)

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
49.3%	1	`x`
49.3%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

soundness0.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 8 to 5 computations (37.5% saved)

preprocess22.0ms (0.8%)

Remove: (negabs x)
Compiler: Compiled 72 to 50 computations (30.6% saved)

Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H

analyze0.0ms (0%)

sample828.0ms (28.9%)

preprocess42.0ms (1.5%)

explain44.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize42.0ms (1.5%)

series6.0ms (0.2%)

rewrite302.0ms (10.6%)

simplify486.0ms (17%)

eval62.0ms (2.2%)

prune57.0ms (2%)

localize41.0ms (1.4%)

series6.0ms (0.2%)

rewrite553.0ms (19.3%)

simplify267.0ms (9.3%)

eval42.0ms (1.5%)

prune43.0ms (1.5%)

regimes13.0ms (0.4%)

regimes3.0ms (0.1%)

soundness0.0ms (0%)

preprocess22.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	34
1	41	31
2	107	30
3	322	30
4	518	30
5	611	30
0	5	5
1	10	5
2	20	5
3	36	5
4	81	5
5	112	5
6	152	5
7	217	5
8	263	5
9	299	5
10	305	5
0	305	5

Iter	Nodes	Cost
0	5	11
1	10	11
2	20	11
3	36	11
4	81	11
5	112	11
6	152	11
7	217	11
8	263	11
9	299	11
10	305	11
0	305	11

Iter	Nodes	Cost
0	4	10
1	10	10
2	22	10
3	37	10
4	58	10
5	111	10
6	154	10
7	246	10
8	283	10
9	289	10
0	289	10

Iter	Nodes	Cost
0	14	34
1	41	31
2	107	30
3	322	30
4	518	30
5	611	30
0	5	5
1	10	5
2	20	5
3	36	5
4	81	5
5	112	5
6	152	5
7	217	5
8	263	5
9	299	5
10	305	5
0	305	5

Iter	Nodes	Cost
0	5	11
1	10	11
2	20	11
3	36	11
4	81	11
5	112	11
6	152	11
7	217	11
8	263	11
9	299	11
10	305	11
0	305	11

Iter	Nodes	Cost
0	4	10
1	10	10
2	22	10
3	37	10
4	58	10
5	111	10
6	154	10
7	246	10
8	283	10
9	289	10
0	289	10

Iter	Nodes	Cost
0	14	34
1	41	31
2	107	30
3	322	30
4	518	30
5	611	30
0	5	5
1	10	5
2	20	5
3	36	5
4	81	5
5	112	5
6	152	5
7	217	5
8	263	5
9	299	5
10	305	5
0	305	5

Iter	Nodes	Cost
0	5	11
1	10	11
2	20	11
3	36	11
4	81	11
5	112	11
6	152	11
7	217	11
8	263	11
9	299	11
10	305	11
0	305	11

Iter	Nodes	Cost
0	4	10
1	10	10
2	22	10
3	37	10
4	58	10
5	111	10
6	154	10
7	246	10
8	283	10
9	289	10
0	289	10