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

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 6 computations (40% 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)

sample665.0ms (20%)

Results

484.0ms	8255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-mult: 85.0ms (39.6% of total)

ival-add: 70.0ms (32.6% of total)

ival-sub: 49.0ms (22.8% of total)

const: 8.0ms (3.7% of total)

backward-pass: 3.0ms (1.4% of total)

Bogosity

preprocess134.0ms (4%)

Algorithm

2×	egg-herbie

Rules

2520×	`sum5-define`
2080×	`fnmadd-define`
2012×	`sum4-define`
1600×	`sum3-define`
1592×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	60	42
2	186	38
3	642	36
4	3010	36
5	6981	36
0	5	7
1	14	7
2	38	6
3	75	6
4	163	6
5	478	6
6	2077	6
7	2741	6
8	3399	6
9	3545	6
10	3549	6
0	3549	6

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(sort x y)

explain106.0ms (3.2%)

FPErrors

Click to see full error table

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

Results

65.0ms

512×

valid

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

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

ival-mult: 4.0ms (37% of total)

ival-add: 3.0ms (27.7% of total)

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

const: 1.0ms (9.2% 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 x y) (*.f64 x y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify109.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

1592×	`sum5-define`
968×	`sum4-define`
942×	`sum3-define`
604×	`fnmadd-define`
556×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	14	15
2	38	14
3	75	14
4	163	14
5	478	14
6	2077	14
7	2741	14
8	3399	14
9	3545	14
10	3549	14
0	3549	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize26.0ms (0.8%)

Localize:

Found 3 expressions of interest:

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

Results

19.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

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

ival-add: 2.0ms (32.9% of total)

ival-mult: 2.0ms (32.9% of total)

ival-sub: 1.0ms (16.5% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite323.0ms (9.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3594×	`-lowering-.f32`
3594×	`-lowering-.f64`
2428×	`/-lowering-/.f32`
2428×	`/-lowering-/.f64`
1682×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	38	13
2	383	12
3	6132	12
0	8082	12

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 154

Calls

Call 1

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

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

simplify142.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

2264×	`sum5-define`
1460×	`-lowering-.f32`
1460×	`-lowering-.f64`
1268×	`sum3-define`
940×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	280
1	133	262
2	329	258
3	1043	258
4	3986	258
5	6270	258
6	7614	258
0	8059	258

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval39.0ms (1.2%)

Compiler: Compiled 6553 to 494 computations (92.5% saved)

prune24.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	221	5	226
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	221	6	227

Accuracy

100.0%

Counts

227 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 x y) (*.f64 x y))
▶	56.6%	(-.f64 y (*.f64 x y))
▶	64.0%	(-.f64 x (*.f64 x y))
▶	56.6%	(*.f64 y (-.f64 #s(literal 1 binary64) x))
▶	37.9%	y
▶	44.8%	x

Compiler

Compiled 63 to 39 computations (38.1% saved)

simplify38.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

656×	`sum5-define`
528×	`sum3-define`
380×	`fnmadd-define`
320×	`sum4-define`
318×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	33
1	20	33
2	39	30
3	79	30
4	155	30
5	369	30
6	1342	30
7	1657	30
8	1864	30
9	1888	30
0	1888	30

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize87.0ms (2.6%)

Localize:

Found 6 expressions of interest:

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

Results

76.0ms

256×

valid

Compiler

Compiled 36 to 9 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 28.0ms (83.4% of total)

ival-sub: 5.0ms (14.9% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

5 → 108

Calls

Call 1

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

Calls

27 calls:

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

rewrite288.0ms (8.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2618×	`-lowering-.f32`
2618×	`-lowering-.f64`
1944×	`sum5-define`
1940×	`/-lowering-/.f32`
1940×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	53	21
2	425	18
3	4666	18
0	8136	18

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 329

Calls

Call 1

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

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

simplify212.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

2038×	`fnmadd-define`
1748×	`fnmsub-define`
1738×	`fmsub-define`
1584×	`fma-lowering-fma.f32`
1584×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	446
1	134	383
2	308	383
3	1010	383
4	3315	383
5	5516	383
6	6925	383
7	7411	383
8	7786	383
0	8006	383

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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

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

eval71.0ms (2.1%)

Compiler: Compiled 10957 to 684 computations (93.8% saved)

prune71.0ms (2.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	465	0	465
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	465	6	471

Accuracy

100.0%

Counts

471 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 x y) (*.f64 x y))
✓	56.6%	(-.f64 y (*.f64 x y))
✓	64.0%	(-.f64 x (*.f64 x y))
✓	56.6%	(*.f64 y (-.f64 #s(literal 1 binary64) x))
✓	37.9%	y
✓	44.8%	x

Compiler

Compiled 62 to 32 computations (48.4% saved)

regimes10.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes5.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
90.3%	2	`x`
90.6%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
90.6%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
77.4%	2	`x`
90.2%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
70.4%	2	`x`
71.8%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% 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
44.8%	1	`x`
44.8%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch14.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.581109778701944e-80	3.6510668292994267e-78

Results

9.0ms

112×

valid

Compiler

Compiled 126 to 79 computations (37.3% saved)

Precisions

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

ival-sub: 1.0ms (43.7% of total)

ival-add: 1.0ms (43.7% of total)

ival-mult: 1.0ms (43.7% of total)

const: 0.0ms (0% of total)

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

bsearch11.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	6.581109778701944e-80	3.6510668292994267e-78

Results

6.0ms

112×

valid

Compiler

Compiled 126 to 86 computations (31.7% saved)

Precisions

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

ival-sub: 1.0ms (45.6% of total)

ival-add: 1.0ms (45.6% of total)

ival-mult: 1.0ms (45.6% of total)

const: 0.0ms (0% of total)

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

bsearch169.0ms (5.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	6.581109778701944e-80	3.6510668292994267e-78
15.0ms	-8192410669510350.0	-3.3425197979622345e-9

Results

16.0ms

288×

valid

Compiler

Compiled 230 to 171 computations (25.7% saved)

Precisions

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

ival-mult: 3.0ms (46.2% of total)

ival-add: 2.0ms (30.8% of total)

ival-sub: 1.0ms (15.4% of total)

const: 0.0ms (0% of total)

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

bsearch10.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	6.581109778701944e-80	3.6510668292994267e-78

Results

6.0ms

112×

valid

Compiler

Compiled 70 to 51 computations (27.1% saved)

Precisions

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

ival-sub: 1.0ms (43.9% of total)

ival-add: 1.0ms (43.9% of total)

ival-mult: 1.0ms (43.9% of total)

const: 0.0ms (0% of total)

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

simplify141.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	57
1	40	57
2	56	57
3	62	57
4	66	57
5	67	57

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 y #s(literal 1668739871813211/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (-.f64 x (.f64 x y)) (-.f64 y (.f64 x y)))
(if (<=.f64 y #s(literal 3754664711579725/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) (-.f64 x (.f64 x y)) (.f64 y (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 y #s(literal -4110347786689739/1208925819614629174706176 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 3754664711579725/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) x (.f64 y (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal 3754664711579725/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) x y)
x

Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 y #s(literal 1668739871813211/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (-.f64 x (.f64 x y)) (-.f64 y (.f64 x y)))
(if (<=.f64 y #s(literal 3754664711579725/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) (-.f64 x (.f64 x y)) (.f64 y (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 y #s(literal -4110347786689739/1208925819614629174706176 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 3754664711579725/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) x (.f64 y (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal 3754664711579725/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) x y)
x

soundness548.0ms (16.5%)

Rules

2264×	`sum5-define`
1460×	`-lowering-.f32`
1460×	`-lowering-.f64`
1268×	`sum3-define`
940×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	280
1	133	262
2	329	258
3	1043	258
4	3986	258
5	6270	258
6	7614	258
0	8059	258

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 110 to 51 computations (53.6% saved)

preprocess46.0ms (1.4%)

Remove: (sort x y)
Compiler: Compiled 180 to 72 computations (60% saved)

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

analyze0.0ms (0%)

sample665.0ms (20%)

preprocess134.0ms (4%)

explain106.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify109.0ms (3.3%)

localize26.0ms (0.8%)

series4.0ms (0.1%)

rewrite323.0ms (9.7%)

simplify142.0ms (4.3%)

eval39.0ms (1.2%)

prune24.0ms (0.7%)

simplify38.0ms (1.1%)

localize87.0ms (2.6%)

series4.0ms (0.1%)

rewrite288.0ms (8.7%)

simplify212.0ms (6.4%)

eval71.0ms (2.1%)

prune71.0ms (2.1%)

regimes10.0ms (0.3%)

regimes5.0ms (0.2%)

regimes13.0ms (0.4%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch14.0ms (0.4%)

bsearch11.0ms (0.3%)

bsearch169.0ms (5.1%)

bsearch10.0ms (0.3%)

simplify141.0ms (4.2%)

soundness548.0ms (16.5%)

preprocess46.0ms (1.4%)

end0.0ms (0%)

Profiling