Metrics for Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

analyze20.0ms (0.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

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

ival-mult: 2.0ms (40.7% of total)

ival-div: 1.0ms (20.3% of total)

ival-add: 1.0ms (20.3% of total)

const: 0.0ms (0% of total)

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

sample861.0ms (19.2%)

Results

642.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 260.0ms

ival-div: 104.0ms (40% of total)

ival-mult: 75.0ms (28.9% of total)

ival-add: 64.0ms (24.6% of total)

const: 13.0ms (5% of total)

backward-pass: 3.0ms (1.2% of total)

Bogosity

preprocess92.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

2756×	`fnmadd-define`
2732×	`fma-define`
2492×	`sum3-define`
600×	`fnmsub-define`
596×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	52	44
2	146	42
3	447	42
4	1346	42
5	2856	42
6	5483	42
7	6541	42
8	6641	42
9	6697	42
10	6713	42
0	6	7
1	12	7
2	15	7
3	16	7
0	16	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(negabs x)

explain71.0ms (1.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
25	-	-	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
0	-	-	`(*.f64 x y)`
0	-	-	`x`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`y`
0	-	-	`(+.f64 y #s(literal 1 binary64))`

Results

43.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

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

ival-mult: 6.0ms (44.7% of total)

ival-div: 4.0ms (29.8% of total)

ival-add: 3.0ms (22.3% of total)

const: 1.0ms (7.4% 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
▶	90.8%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	100.0%	(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify23.0ms (0.5%)

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

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
6×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	13	34
2	15	34
3	16	34
0	16	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize50.0ms (1.1%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	90.8%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))

Results

39.0ms

256×

valid

Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (41.2% of total)

ival-mult: 3.0ms (30.9% of total)

ival-add: 2.0ms (20.6% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

5 → 96

Calls

Call 1

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

Outputs
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (- (* x y) x))))>
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (- (+ x (/ x (pow y 2))) (/ x y))>
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))>
#<alt y>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* y (- y 1))))>
#<alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) 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 (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (- (* x y) x))))>
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (- (+ x (/ x (pow y 2))) (/ x y))>
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) 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

24 calls:

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

rewrite400.0ms (8.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4268×	`/-lowering-/.f32`
4268×	`/-lowering-/.f64`
3426×	`-lowering-.f32`
3426×	`-lowering-.f64`
1812×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	38	25
2	238	25
3	2203	25
0	8961	25

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 551

Calls

Call 1

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

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

simplify275.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

1694×	`-lowering-.f32`
1694×	`-lowering-.f64`
1512×	`fnmadd-define`
1464×	`+-lowering-+.f64`
1464×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	575
1	221	535
2	532	524
3	1941	488
4	7885	488
0	8265	488

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) 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)))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) 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
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
(* y (+ x (* y (- (* x y) x))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(.f64 y (.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (.f64 y y))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(+.f64 x (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(+.f64 x (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)))
y
(* y (+ 1 (* -1 y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* y (+ 1 (* y (- y 1))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64)))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(.f64 y (.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y))
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))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
(* y (+ x (* y (- (* x y) x))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(.f64 y (.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (.f64 y y))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(+.f64 x (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(+.f64 x (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval142.0ms (3.2%)

Compiler: Compiled 17680 to 1582 computations (91.1% saved)

prune79.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	830	5	835
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	831	6	837

Accuracy

100.0%

Counts

837 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.8%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	50.1%	(-.f64 x (/.f64 x y))
▶	72.9%	(.f64 (/.f64 y (+.f64 (.f64 y y) #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) x))
▶	51.1%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
▶	51.6%	(*.f64 x y)
▶	51.0%	x

Compiler

Compiled 87 to 54 computations (37.9% saved)

simplify169.0ms (3.8%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(-.f64 x (/.f64 x y))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(+.f64 (*.f64 y y) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64)))
✓	cost-diff	384	(.f64 (/.f64 y (+.f64 (.f64 y y) #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) x))

Rules

3180×	`-lowering-.f32`
3180×	`-lowering-.f64`
1996×	`fnmadd-define`
1450×	`sum3-define`
1412×	`fmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	67
1	38	67
2	106	67
3	332	61
4	871	60
5	3443	60
0	8557	60

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize85.0ms (1.9%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 x (/.f64 x y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 (+.f64 y #s(literal -1 binary64)) x)
✓	accuracy	90.7%	(.f64 (/.f64 y (+.f64 (.f64 y y) #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) x))
✓	accuracy	77.3%	(/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64)))

Results

60.0ms

256×

valid

Compiler

Compiled 74 to 16 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 9.0ms (48.1% of total)

ival-div: 4.0ms (21.4% of total)

ival-sub: 3.0ms (16% of total)

ival-add: 3.0ms (16% of total)

const: 1.0ms (5.3% of total)

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

series12.0ms (0.3%)

Counts

10 → 192

Calls

Call 1

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

Outputs
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (+ (* -1 x) (* x y)))))>
#<alt (* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x)))))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))>
#<alt (- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y)))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (* -1 y)>
#<alt (* y (- (* -1 (pow y 2)) 1))>
#<alt (* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1))>
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (/ 1 (pow y 2))) y)>
#<alt (/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y)>
#<alt (/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y)>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (/ 1 (pow y 2))) y)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y))>
#<alt -1>
#<alt (- (pow y 2) 1)>
#<alt (- (pow y 2) 1)>
#<alt (- (pow y 2) 1)>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<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 (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 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 (* -1 (/ x y))>
#<alt (/ (- (* x y) x) y)>
#<alt (/ (- (* x y) x) y)>
#<alt (/ (- (* x y) x) y)>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ 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)>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>

Calls

48 calls:

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

rewrite367.0ms (8.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4482×	`-lowering-.f32`
4482×	`-lowering-.f64`
4092×	`/-lowering-/.f32`
4092×	`/-lowering-/.f64`
1436×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	96	50
2	792	45
0	8767	45

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 646

Calls

Call 1

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

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

simplify244.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

3100×	`-lowering-.f32`
3100×	`-lowering-.f64`
2036×	`+-lowering-+.f64`
2036×	`+-lowering-+.f32`
1426×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1072
1	343	919
2	985	910
3	3206	849
0	8235	849

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (+ (* -1 x) (* x y)))))
(* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x)))))))
x
(+ x (* -1 (/ x y)))
(+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))
(- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y)))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(* -1 y)
(* y (- (* -1 (pow y 2)) 1))
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1))
(/ 1 y)
(/ (+ 1 (/ 1 (pow y 2))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y)
(/ 1 y)
(/ (+ 1 (/ 1 (pow y 2))) y)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y))
-1
(- (pow y 2) 1)
(- (pow y 2) 1)
(- (pow y 2) 1)
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 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 (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (/ x y))
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ 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)
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))

Outputs
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* y (+ x (* y (+ (* -1 x) (* x y)))))
(.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x)))))))
(.f64 y (.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (.f64 y y))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 x (/.f64 x (.f64 y y))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 x (/.f64 x (.f64 y y))))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (* -1 (pow y 2)) 1))
(.f64 y (-.f64 #s(literal -1 binary64) (.f64 y y)))
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1))
(.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y (-.f64 #s(literal -1 binary64) (.f64 y y))))))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1))
(.f64 y (.f64 (+.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (.f64 y y))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (/ 1 (pow y 2))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y)))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (/ 1 (pow y 2))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)) y)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y)))) y)
-1
#s(literal -1 binary64)
(- (pow y 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y y))
(- (pow y 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y y))
(- (pow y 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(+.f64 #s(literal -1 binary64) (*.f64 y y))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(+.f64 #s(literal -1 binary64) (*.f64 y y))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(+.f64 #s(literal -1 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(+.f64 #s(literal -1 binary64) (*.f64 y y))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(+.f64 #s(literal -1 binary64) (*.f64 y y))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(+.f64 #s(literal -1 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* y (+ x (* -1 (* x y))))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* y (+ x (* -1 (* x y))))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+ (* -1 x) (* x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+ (* -1 x) (* x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* y (+ x (* -1 (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* y (+ x (* -1 (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))

eval99.0ms (2.2%)

Compiler: Compiled 17093 to 1863 computations (89.1% saved)

prune101.0ms (2.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	865	1	866
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	867	5	872

Accuracy

100.0%

Counts

872 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.8%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	50.1%	(-.f64 x (/.f64 x y))
▶	51.1%	(.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) y)
✓	51.6%	(*.f64 x y)
✓	51.0%	x

Compiler

Compiled 33 to 21 computations (36.4% saved)

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

1882×	`sum3-define`
1212×	`fma-define`
834×	`fnmadd-define`
560×	`fma-lowering-fma.f32`
560×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	14	18
2	31	18
3	77	16
4	181	16
5	319	16
6	538	16
7	916	16
8	2971	16
9	3400	16
10	3600	16
11	3600	16
12	3624	16
0	3624	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize43.0ms (1%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	accuracy	99.9%	(.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) y)

Results

35.0ms

256×

valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

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

ival-mult: 4.0ms (68.5% of total)

ival-sub: 2.0ms (34.3% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

3 → 60

Calls

Call 1

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

Outputs
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ 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 x>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>

Calls

15 calls:

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

rewrite281.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3392×	`/-lowering-/.f32`
3392×	`/-lowering-/.f64`
3378×	`-lowering-.f32`
3378×	`-lowering-.f64`
1588×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	27	15
2	161	15
3	1407	13
0	9748	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 480

Calls

Call 1

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

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

simplify162.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

2114×	`fnmsub-define`
2050×	`fmsub-define`
1912×	`fma-lowering-fma.f32`
1912×	`fma-lowering-fma.f64`
1770×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	308
1	99	306
2	274	264
3	602	264
4	1791	264
5	6014	264
0	8142	264

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ 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))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))

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

eval67.0ms (1.5%)

Compiler: Compiled 15423 to 1714 computations (88.9% saved)

prune69.0ms (1.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	540	0	540
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	540	5	545

Accuracy

100.0%

Counts

545 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.8%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	50.1%	(-.f64 x (/.f64 x y))
✓	51.1%	(.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) y)
✓	51.6%	(*.f64 x y)
✓	51.0%	x

Compiler

Compiled 85 to 42 computations (50.6% saved)

regimes13.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
3.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
3.0ms	y

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
x
(*.f64 x y)
(-.f64 x (/.f64 x y))

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
61.7%	4	`x`
98.9%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 x y)

Outputs
x
(*.f64 x y)
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
51.0%	1	`x`
51.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch91.0ms (2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.097238159283905e-12	31432.45306400865
75.0ms	-1529523.3731717297	-0.0004647635221513973

Results

79.0ms

304×

valid

Compiler

Compiled 280 to 181 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-div: 64.0ms (92.3% of total)

ival-mult: 3.0ms (4.3% of total)

ival-add: 2.0ms (2.9% of total)

const: 0.0ms (0% of total)

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

bsearch52.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.097238159283905e-12	31432.45306400865
36.0ms	-1529523.3731717297	-0.0004647635221513973

Results

40.0ms

304×

valid

Compiler

Compiled 204 to 143 computations (29.9% saved)

Precisions

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

ival-mult: 3.0ms (41.2% of total)

ival-div: 2.0ms (27.5% of total)

ival-add: 2.0ms (27.5% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	32	38
2	39	38
3	45	38
4	50	38
5	52	38

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 5854679515581645/4503599627370496 binary64)) (*.f64 x y) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) x))
x

Outputs
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 5854679515581645/4503599627370496 binary64)) (*.f64 x y) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) x))
x

soundness483.0ms (10.8%)

Rules

1694×	`-lowering-.f32`
1694×	`-lowering-.f64`
1512×	`fnmadd-define`
1464×	`+-lowering-+.f64`
1464×	`+-lowering-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	575
1	221	535
2	532	524
3	1941	488
4	7885	488
0	8265	488
0	6	7
1	12	7
2	15	7
3	16	7
0	16	7

Stop Event

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

Compiler

Compiled 121 to 68 computations (43.8% saved)

preprocess43.0ms (1%)

Remove: (negabs x)
Compiler: Compiled 220 to 106 computations (51.8% saved)

Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

analyze20.0ms (0.4%)

sample861.0ms (19.2%)

preprocess92.0ms (2.1%)

explain71.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (0.5%)

localize50.0ms (1.1%)

series6.0ms (0.1%)

rewrite400.0ms (8.9%)

simplify275.0ms (6.1%)

eval142.0ms (3.2%)

prune79.0ms (1.8%)

simplify169.0ms (3.8%)

localize85.0ms (1.9%)

series12.0ms (0.3%)

rewrite367.0ms (8.2%)

simplify244.0ms (5.4%)

eval99.0ms (2.2%)

prune101.0ms (2.2%)

simplify67.0ms (1.5%)

localize43.0ms (1%)

series2.0ms (0%)

rewrite281.0ms (6.3%)

simplify162.0ms (3.6%)

eval67.0ms (1.5%)

prune69.0ms (1.5%)

regimes13.0ms (0.3%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch91.0ms (2%)

bsearch52.0ms (1.2%)

simplify11.0ms (0.2%)

soundness483.0ms (10.8%)

preprocess43.0ms (1%)

end0.0ms (0%)

Profiling