Metrics for Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

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-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)

sample866.0ms (12%)

Results

676.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 202.0ms

ival-add: 112.0ms (55.5% of total)

ival-mult: 79.0ms (39.1% of total)

const: 8.0ms (4% of total)

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

Bogosity

preprocess82.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1960×	`sum5-define`
1780×	`fnmadd-define`
1536×	`sum4-define`
1368×	`fmsub-define`
1344×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	69	37
2	218	36
3	841	36
4	3279	36
5	6343	36
6	6948	36
7	6964	36
0	5	6
1	12	6
2	26	6
3	39	6
4	50	6
5	67	6
6	93	6
7	115	6
8	122	6
9	123	6
0	123	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

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 (fma x y y))
(+ (+ (* (neg x) y) (neg x)) y)
(+ y (fnmsub x y x))
(+ (+ (* x (neg y)) x) (neg y))
(+ x (fnmsub x y y))
(neg (+ (+ (* (neg x) y) (neg x)) y))
(+ x (fmsub x y y))
(neg (+ (+ (* x (neg y)) x) (neg y)))
(+ y (fmsub x y x))
(+ (+ (* y x) y) x)
(+ x (fma x y y))

Symmetry

(sort x y)

explain90.0ms (1.2%)

FPErrors

Click to see full error table

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

Results

62.0ms

512×

valid

Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-add: 19.0ms (77% of total)

ival-mult: 5.0ms (20.3% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

96×	`fma-define`
76×	`fma-lowering-fma.f32`
76×	`fma-lowering-fma.f64`
48×	`-lowering-.f32`
48×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	12	15
2	26	15
3	39	15
4	50	15
5	67	15
6	93	15
7	115	15
8	122	15
9	123	15
0	123	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize28.0ms (0.4%)

Localize:

Found 3 expressions of interest:

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

Results

21.0ms

256×

valid

Compiler

Compiled 20 to 6 computations (70% saved)

Precisions

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

ival-mult: 4.0ms (57% of total)

ival-add: 3.0ms (42.8% 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) x)>
#<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 (/ y x))))>
#<alt (* x (+ 1 (+ y (/ y x))))>
#<alt (* x (+ 1 (+ y (/ y x))))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))>
#<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 (/ x y))))>
#<alt (* y (+ 1 (+ x (/ x y))))>
#<alt (* y (+ 1 (+ x (/ x y))))>
#<alt (* -1 (* y (- (* -1 x) 1)))>
#<alt (* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))>
#<alt (* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))>
#<alt (* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))>
#<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 (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt x>
#<alt (+ x (* x y))>
#<alt (+ x (* x y))>
#<alt (+ x (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ x y)))>
#<alt (* y (+ x (/ x y)))>
#<alt (* y (+ x (/ x y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

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)

rewrite352.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3532×	`-lowering-.f32`
3532×	`-lowering-.f64`
2428×	`/-lowering-/.f32`
2428×	`/-lowering-/.f64`
1682×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	37	13
2	372	13
3	6101	13
0	8267	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 139

Calls

Call 1

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

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

simplify211.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1648×	`sum3-define`
1610×	`-lowering-.f32`
1610×	`-lowering-.f64`
1362×	`fnmadd-define`
1280×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	332
1	137	291
2	405	289
3	1282	289
4	4603	289
5	5956	289
6	6655	289
7	7419	289
8	7747	289
9	7909	289
0	8417	289

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

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

eval24.0ms (0.3%)

Compiler: Compiled 6033 to 463 computations (92.3% saved)

prune21.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	205	6	211
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	205	7	212

Accuracy

100.0%

Counts

212 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)
▶	100.0%	(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
	56.6%	(+.f64 (*.f64 y x) y)
▶	80.4%	(+.f64 x y)
▶	63.9%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	37.8%	y
▶	45.3%	x

Compiler

Compiled 77 to 49 computations (36.4% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

92×	`fma-define`
76×	`fma-lowering-fma.f32`
76×	`fma-lowering-fma.f64`
48×	`-lowering-.f32`
48×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	35
1	20	33
2	38	33
3	66	33
4	95	33
5	110	33
6	117	33
7	118	33
0	118	33

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize2.9s (39.7%)

Localize:

Found 6 expressions of interest:

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

Results

1.6s

256×

valid

Compiler

Compiled 39 to 9 computations (76.9% saved)

Precisions

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

ival-add: 4.0ms (49.5% of total)

ival-mult: 3.0ms (37.2% 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 (+ (* (+ y 1) x) y)>
#<alt (* (+ y 1) x)>
#<alt (+ y 1)>
#<alt (+ x y)>
#<alt (* x (+ y 1))>

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

Calls

27 calls:

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

rewrite277.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3010×	`-lowering-.f32`
3010×	`-lowering-.f64`
2274×	`/-lowering-/.f32`
2274×	`/-lowering-/.f64`
1622×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	52	20
2	461	20
3	5544	20
0	8022	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 279

Calls

Call 1

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

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

simplify186.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2068×	`fmsub-define`
2008×	`fnmsub-define`
1820×	`fmm-def`
1752×	`sum4-define`
1594×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	462
1	181	400
2	510	398
3	1482	398
4	4388	398
0	8030	398

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval52.0ms (0.7%)

Compiler: Compiled 9323 to 823 computations (91.2% saved)

prune45.0ms (0.6%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	455	2	457
Fresh	0	1	1
Picked	0	5	5
Done	1	0	1
Total	456	8	464

Accuracy

100.0%

Counts

464 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
▶	56.6%	(+.f64 (*.f64 y x) y)
▶	63.9%	(+.f64 (*.f64 y x) x)
✓	80.4%	(+.f64 x y)
✓	63.9%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	21.1%	(*.f64 x y)
✓	37.8%	y
✓	45.3%	x

Compiler

Compiled 46 to 29 computations (37% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

48×	`fma-define`
40×	`-lowering-.f32`
40×	`-lowering-.f64`
32×	`fma-lowering-fma.f32`
32×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
1	13	23
2	21	23
3	29	23
4	41	23
5	59	23
6	69	23
0	69	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize40.0ms (0.6%)

Localize:

Found 5 expressions of interest:

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

Results

31.0ms

256×

valid

Compiler

Compiled 28 to 7 computations (75% saved)

Precisions

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

ival-add: 4.0ms (46.4% of total)

ival-mult: 4.0ms (46.4% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite260.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3010×	`-lowering-.f32`
3010×	`-lowering-.f64`
2128×	`fma-lowering-fma.f32`
2128×	`fma-lowering-fma.f64`
1886×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	36	14
2	305	14
3	3445	14
0	8357	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 168

Calls

Call 1

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

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

simplify148.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2164×	`fnmadd-define`
1736×	`fma-lowering-fma.f32`
1736×	`fma-lowering-fma.f64`
1704×	`fmsub-define`
1680×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	368
1	118	326
2	307	326
3	820	326
4	2848	326
5	5784	326
0	8137	326

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval30.0ms (0.4%)

Compiler: Compiled 6032 to 455 computations (92.5% saved)

prune28.0ms (0.4%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	290	0	290
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	290	8	298

Accuracy

100.0%

Counts

298 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
✓	56.6%	(+.f64 (*.f64 y x) y)
✓	63.9%	(+.f64 (*.f64 y x) x)
✓	80.4%	(+.f64 x y)
✓	63.9%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	21.1%	(*.f64 x y)
✓	37.8%	y
✓	45.3%	x

Compiler

Compiled 85 to 43 computations (49.4% saved)

regimes23.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	y
3.0ms	x
3.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes6.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
99.2%	3	`x`
99.0%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
85.0%	2	`y`
98.7%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
86.3%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
x
y
(*.f64 x y)

Outputs
x
y
(*.f64 x y)

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
75.9%	3	`y`
77.1%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
71.6%	2	`y`
71.2%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
45.3%	1	`x`
45.3%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch27.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-6.457957398845501e-293	-5.067447182789726e-304
25.0ms	-100284.57160570839	-288.39235925188547

Results

22.0ms

144×

valid

Compiler

Compiled 140 to 98 computations (30% saved)

Precisions

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

ival-add: 1.0ms (34.8% of total)

ival-mult: 1.0ms (34.8% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.115820813566674e-16	323.7995943551677
11.0ms	-100284.57160570839	-288.39235925188547

Results

15.0ms

288×

valid

Compiler

Compiled 266 to 189 computations (28.9% saved)

Precisions

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

ival-add: 3.0ms (51.9% of total)

ival-mult: 2.0ms (34.6% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.115820813566674e-16	323.7995943551677

Results

10.0ms

160×

valid

Compiler

Compiled 134 to 89 computations (33.6% saved)

Precisions

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

ival-add: 2.0ms (63.1% of total)

ival-mult: 1.0ms (31.6% of total)

const: 0.0ms (0% of total)

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

bsearch23.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.115820813566674e-16	323.7995943551677
8.0ms	-1.4738620525320276e-145	-1.8388986638304212e-146

Results

13.0ms

256×

valid

Compiler

Compiled 162 to 115 computations (29% saved)

Precisions

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

ival-add: 3.0ms (59.2% of total)

ival-mult: 2.0ms (39.4% of total)

const: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

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-add: 1.0ms (45.7% of total)

ival-mult: 1.0ms (45.7% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
4×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`if-if-or-not_binary32`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	75
1	44	75

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
(if (<=.f64 x #s(literal -290 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal -2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (+.f64 x y) (+.f64 (.f64 y x) y)))
(if (<=.f64 x #s(literal -290 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 x y) (.f64 x (+.f64 y #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 320 binary64)) (+.f64 x y) (*.f64 x y))
(if (<=.f64 x #s(literal -8154281252609543/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) y (*.f64 x y)))
(if (<=.f64 y #s(literal 3754664711579725/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) x y)
x

Outputs
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
(+.f64 y (*.f64 (+.f64 y #s(literal 1 binary64)) x))
(if (<=.f64 x #s(literal -290 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal -2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (+.f64 x y) (+.f64 (.f64 y x) y)))
(if (<=.f64 x #s(literal -290 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal -2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (+.f64 y x) (+.f64 y (.f64 y x))))
(if (<=.f64 x #s(literal -290 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 x y) (.f64 x (+.f64 y #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -290 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 y x) (.f64 (+.f64 y #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal 320 binary64)) (+.f64 x y) (*.f64 x y))
(if (<=.f64 x #s(literal 320 binary64)) (+.f64 y x) (*.f64 y x))
(if (<=.f64 x #s(literal -8154281252609543/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) y (*.f64 x y)))
(if (<=.f64 x #s(literal -8154281252609543/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) y (*.f64 y x)))
(if (<=.f64 y #s(literal 3754664711579725/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) x y)
x

soundness1.4s (18.9%)

Rules

3532×	`-lowering-.f32`
3532×	`-lowering-.f64`
2428×	`/-lowering-/.f32`
2428×	`/-lowering-/.f64`
2068×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	462
1	181	400
2	510	398
3	1482	398
4	4388	398
0	8030	398
0	41	332
1	137	291
2	405	289
3	1282	289
4	4603	289
5	5956	289
6	6655	289
7	7419	289
8	7747	289
9	7909	289
0	8417	289
0	5	13
1	37	13
2	372	13
3	6101	13
0	8267	13

Stop Event

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

Compiler

Compiled 165 to 83 computations (49.7% saved)

preprocess52.0ms (0.7%)

Compiler: Compiled 216 to 90 computations (58.3% saved)

analyze0.0ms (0%)

sample866.0ms (12%)

preprocess82.0ms (1.1%)

explain90.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize28.0ms (0.4%)

series4.0ms (0.1%)

rewrite352.0ms (4.9%)

simplify211.0ms (2.9%)

eval24.0ms (0.3%)

prune21.0ms (0.3%)

simplify10.0ms (0.1%)

localize2.9s (39.7%)

series4.0ms (0.1%)

rewrite277.0ms (3.8%)

simplify186.0ms (2.6%)

eval52.0ms (0.7%)

prune45.0ms (0.6%)

simplify6.0ms (0.1%)

localize40.0ms (0.6%)

series1.0ms (0%)

rewrite260.0ms (3.6%)

simplify148.0ms (2.1%)

eval30.0ms (0.4%)

prune28.0ms (0.4%)

regimes23.0ms (0.3%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch27.0ms (0.4%)

bsearch27.0ms (0.4%)

bsearch16.0ms (0.2%)

bsearch23.0ms (0.3%)

bsearch10.0ms (0.1%)

simplify8.0ms (0.1%)

soundness1.4s (18.9%)

preprocess52.0ms (0.7%)

end0.0ms (0%)

Profiling