Metrics for Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample717.0ms (8.8%)

Results

544.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

ival-mult: 169.0ms (72.9% of total)

ival-sub: 49.0ms (21.1% of total)

const: 11.0ms (4.7% of total)

backward-pass: 3.0ms (1.3% of total)

Bogosity

preprocess72.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

852×	`fnmadd-define`
722×	`fma-define`
610×	`fnmsub-define`
610×	`fmsub-define`
608×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	44
1	64	44
2	130	38
3	392	36
4	1064	36
5	2595	36
6	2989	36
7	3037	36
0	6	7
1	15	7
2	32	6
3	72	6
4	171	6
5	287	6
6	431	6
7	580	6
8	1390	6
9	1697	6
10	1885	6
0	1885	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(* x (- 1 (* x y)))
(* x (fnmsub x y -1))
(* (neg x) (- 1 (* (neg x) y)))
(fnmsub x (* x y) x)
(* x (- 1 (* x (neg y))))
(fma x (* x y) x)
(neg (* (neg x) (- 1 (* (neg x) y))))
(fma x (* x y) x)
(neg (* x (- 1 (* x (neg y)))))
(fnmsub x (* x y) x)
(* y (- 1 (* y x)))
(fnmadd x (* y y) y)

explain63.0ms (0.8%)

FPErrors

Click to see full error table

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

Results

35.0ms

512×

valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 8.0ms (52.3% of total)

ival-sub: 6.0ms (39.3% of total)

const: 1.0ms (6.5% 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
▶	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify33.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

608×	`sum3-define`
530×	`fma-define`
458×	`fnmadd-define`
456×	`sum5-define`
324×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	15	18
2	32	16
3	72	16
4	171	16
5	287	16
6	431	16
7	580	16
8	1390	16
9	1697	16
10	1885	16
0	1885	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize30.0ms (0.4%)

Localize:

Found 3 expressions of interest:

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

Results

16.0ms

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 (67.2% of total)

ival-sub: 1.0ms (16.8% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* x y)
1.0ms	y	@	inf	(* x y)
1.0ms	y	@	0	(* x (- 1 (* x y)))
0.0ms	x	@	0	(* x (- 1 (* x y)))
0.0ms	x	@	inf	(* x (- 1 (* x y)))

rewrite318.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2740×	`-lowering-.f32`
2740×	`-lowering-.f64`
2238×	`/-lowering-/.f32`
2238×	`/-lowering-/.f64`
1538×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	28	15
2	189	13
3	1775	13
0	9282	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 243

Calls

Call 1

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

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

simplify192.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2154×	`-lowering-.f32`
2154×	`-lowering-.f64`
1792×	`/-lowering-/.f32`
1792×	`/-lowering-/.f64`
1570×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	368
1	114	296
2	239	296
3	651	296
4	3196	296
0	8451	296

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

eval64.0ms (0.8%)

Compiler: Compiled 10379 to 846 computations (91.8% saved)

prune35.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	311	4	315
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	311	5	316

Accuracy

100.0%

Counts

316 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x y) #s(literal 1 binary64))))
▶	93.3%	(-.f64 x (.f64 y (.f64 x x)))
▶	53.0%	(.f64 x (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x y))))) (+.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))) (.f64 y (.f64 y (.f64 x x))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x y)))))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
▶	49.4%	x

Compiler

Compiled 95 to 41 computations (56.8% saved)

simplify182.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(-.f64 (*.f64 x y) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x y) #s(literal 1 binary64)))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x y) #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 y (.f64 x x))
✓	cost-diff	0	(-.f64 x (.f64 y (.f64 x x)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x y))))) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	cost-diff	0	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x y))))) (+.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))) (.f64 y (.f64 y (.f64 x x)))))
✓	cost-diff	1280	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x y))))) (+.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))) (.f64 y (.f64 y (.f64 x x))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 x y))))
✓	cost-diff	1280	(.f64 x (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x y))))) (+.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))) (.f64 y (.f64 y (.f64 x x))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x y)))))

Rules

3636×	`-lowering-.f32`
3636×	`-lowering-.f64`
2636×	`+-lowering-+.f64`
2636×	`+-lowering-+.f32`
2060×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	341
1	94	313
2	383	239
3	2607	233
0	8312	233

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize152.0ms (1.9%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (*.f64 x y) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x y) #s(literal 1 binary64))))
✓	accuracy	99.5%	(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x y) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 x (.f64 y (.f64 x x)))
✓	accuracy	90.5%	(.f64 y (.f64 x x))
✓	accuracy	92.1%	(.f64 y (.f64 y (*.f64 x x)))
✓	accuracy	90.5%	(.f64 y (.f64 x x))
✓	accuracy	68.6%	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x y))))) (+.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))) (.f64 y (.f64 y (.f64 x x)))))
✓	accuracy	61.1%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x y))))) (+.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))) (.f64 y (.f64 y (.f64 x x))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 x y))))

Results

95.0ms

256×

valid

Compiler

Compiled 351 to 26 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 19.0ms (57.7% of total)

ival-div: 5.0ms (15.2% of total)

ival-sub: 4.0ms (12.1% of total)

ival-add: 4.0ms (12.1% of total)

const: 1.0ms (3% of total)

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

series41.0ms (0.5%)

Counts

12 → 276

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* x (- (* 2 y) y))))>
#<alt (* x (+ 1 (* x (- (+ (* 2 y) (* x (- (* 2 (pow y 2)) (+ (* y (- (* 2 y) y)) (pow y 2))))) y))))>
#<alt (* x (+ 1 (* x (- (+ (* 2 y) (* x (- (+ (* -1 (* x (* y (- (* 2 (pow y 2)) (+ (* y (- (* 2 y) y)) (pow y 2)))))) (* 2 (pow y 2))) (+ (* y (- (* 2 y) y)) (pow y 2))))) y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (+ (/ 1 x) (/ 2 (* (pow x 3) (pow y 2))))))>
#<alt (* (pow x 2) (- (+ (* -1 y) (+ (/ 1 x) (* 2 (/ 1 (* (pow x 3) (pow y 2)))))) (* 2 (/ 1 (* (pow x 6) (pow y 5))))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (+ (/ 1 x) (/ 2 (* (pow x 3) (pow y 2))))))>
#<alt (* (pow x 2) (+ (* -1 y) (* -1 (/ (- (/ 2 (* (pow x 5) (pow y 5))) (+ 1 (/ 2 (* (pow x 2) (pow y 2))))) x))))>
#<alt x>
#<alt (+ x (* y (- (* 2 (pow x 2)) (pow x 2))))>
#<alt (+ x (* y (- (+ (* -1 (* (pow y 3) (+ (* (pow x 3) (- (* 2 (pow x 2)) (pow x 2))) (pow x 5)))) (* 2 (pow x 2))) (pow x 2))))>
#<alt (+ x (* y (- (+ (* 2 (pow x 2)) (* (pow y 3) (- (* y (- (* -1 (pow x 6)) (+ (* -1 (* x (+ (* (pow x 3) (- (* 2 (pow x 2)) (pow x 2))) (pow x 5)))) (* (pow x 4) (- (* 2 (pow x 2)) (pow x 2)))))) (+ (* (pow x 3) (- (* 2 (pow x 2)) (pow x 2))) (pow x 5))))) (pow x 2))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (- (+ (* -1 (pow x 2)) (/ 2 (* x (pow y 3)))) (* -1 (/ x y))))>
#<alt (* y (- (+ (* -1 (pow x 2)) (* 2 (/ 1 (* x (pow y 3))))) (+ (* -1 (/ x y)) (* 2 (/ 1 (* (pow x 4) (pow y 6)))))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 2 (/ 1 (* x (pow y 2)))) (* -1 x)) y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (/ 2 (* x (pow y 2))) (+ (* -1 x) (/ 2 (* (pow x 4) (pow y 5))))) y)) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* y (- (* 2 x) x)))>
#<alt (+ 1 (* y (- (+ (* 2 x) (* y (- (* 2 (pow x 2)) (+ (* x (- (* 2 x) x)) (pow x 2))))) x)))>
#<alt (+ 1 (* y (- (+ (* 2 x) (* y (- (+ (* -1 (* x (* y (- (* 2 (pow x 2)) (+ (* x (- (* 2 x) x)) (pow x 2)))))) (* 2 (pow x 2))) (+ (* x (- (* 2 x) x)) (pow x 2))))) x)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* y (+ (* -1 x) (+ (/ 1 y) (/ 2 (* (pow x 2) (pow y 3))))))>
#<alt (* y (- (+ (* -1 x) (+ (/ 1 y) (* 2 (/ 1 (* (pow x 2) (pow y 3)))))) (* 2 (/ 1 (* (pow x 5) (pow y 6))))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- x (/ 1 y))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ 1 (* 2 (/ 1 (* (pow x 2) (pow y 2))))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (- (+ 1 (/ 2 (* (pow x 2) (pow y 2)))) (/ 2 (* (pow x 5) (pow y 5)))) y)))))>
#<alt 1>
#<alt (+ 1 (* x (- (* 2 y) y)))>
#<alt (+ 1 (* x (- (+ (* 2 y) (* x (- (* 2 (pow y 2)) (+ (* y (- (* 2 y) y)) (pow y 2))))) y)))>
#<alt (+ 1 (* x (- (+ (* 2 y) (* x (- (+ (* -1 (* x (* y (- (* 2 (pow y 2)) (+ (* y (- (* 2 y) y)) (pow y 2)))))) (* 2 (pow y 2))) (+ (* y (- (* 2 y) y)) (pow y 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* x (+ (* -1 y) (+ (/ 1 x) (/ 2 (* (pow x 3) (pow y 2))))))>
#<alt (* x (- (+ (* -1 y) (+ (/ 1 x) (* 2 (/ 1 (* (pow x 3) (pow y 2)))))) (* 2 (/ 1 (* (pow x 6) (pow y 5))))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- y (/ 1 x))))>
#<alt (* -1 (* x (+ y (* -1 (/ (+ 1 (* 2 (/ 1 (* (pow x 2) (pow y 2))))) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (- (+ 1 (/ 2 (* (pow x 2) (pow y 2)))) (/ 2 (* (pow x 5) (pow y 5)))) x)))))>
#<alt 1>
#<alt (+ 1 (* 2 (* x y)))>
#<alt (+ 1 (* y (+ (* 2 x) (* y (- (* 2 (pow x 2)) (pow x 2))))))>
#<alt (+ 1 (* y (+ (* 2 x) (* y (- (+ (* 2 (pow x 2)) (* (pow x 3) y)) (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (pow y 5)))>
#<alt (* (pow y 5) (- (/ (pow x 3) (pow y 2)) (pow x 5)))>
#<alt (* (pow y 5) (- (+ (* 2 (/ (pow x 2) (pow y 3))) (/ (pow x 3) (pow y 2))) (+ (/ (pow x 2) (pow y 3)) (pow x 5))))>
#<alt (* (pow y 5) (- (+ (* 2 (/ x (pow y 4))) (+ (* 2 (/ (pow x 2) (pow y 3))) (/ (pow x 3) (pow y 2)))) (+ (/ (pow x 2) (pow y 3)) (pow x 5))))>
#<alt (* -1 (* (pow x 5) (pow y 5)))>
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (pow x 3) (pow y 2))) (* -1 (pow x 5)))))>
#<alt (* -1 (* (pow y 5) (- (+ (* -1 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow y 3))) (* -1 (/ (pow x 3) (pow y 2)))) (* -1 (pow x 5)))))>
#<alt (* -1 (* (pow y 5) (- (+ (* -1 (/ (- (+ (* 2 (/ x y)) (* 2 (pow x 2))) (pow x 2)) (pow y 3))) (* -1 (/ (pow x 3) (pow y 2)))) (* -1 (pow x 5)))))>
#<alt 1>
#<alt (+ 1 (* 2 (* x y)))>
#<alt (+ 1 (* x (+ (* 2 y) (* x (- (* 2 (pow y 2)) (pow y 2))))))>
#<alt (+ 1 (* x (+ (* 2 y) (* x (- (+ (* 2 (pow y 2)) (* x (pow y 3))) (pow y 2))))))>
#<alt (* -1 (* (pow x 5) (pow y 5)))>
#<alt (* (pow x 5) (- (/ (pow y 3) (pow x 2)) (pow y 5)))>
#<alt (* (pow x 5) (- (+ (* 2 (/ (pow y 2) (pow x 3))) (/ (pow y 3) (pow x 2))) (+ (/ (pow y 2) (pow x 3)) (pow y 5))))>
#<alt (* (pow x 5) (- (+ (* 2 (/ y (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 3))) (/ (pow y 3) (pow x 2)))) (+ (/ (pow y 2) (pow x 3)) (pow y 5))))>
#<alt (* -1 (* (pow x 5) (pow y 5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (pow y 3) (pow x 2))) (* -1 (pow y 5)))))>
#<alt (* -1 (* (pow x 5) (- (+ (* -1 (/ (- (* 2 (pow y 2)) (pow y 2)) (pow x 3))) (* -1 (/ (pow y 3) (pow x 2)))) (* -1 (pow y 5)))))>
#<alt (* -1 (* (pow x 5) (- (+ (* -1 (/ (- (+ (* 2 (/ y x)) (* 2 (pow y 2))) (pow y 2)) (pow x 3))) (* -1 (/ (pow y 3) (pow x 2)))) (* -1 (pow y 5)))))>
#<alt 1>
#<alt (+ 1 (* 2 (* x y)))>
#<alt (+ 1 (* y (+ (* 2 x) (* 2 (* (pow x 2) y)))))>
#<alt (+ 1 (* y (+ (* 2 x) (* y (+ (* 2 (pow x 2)) (* (pow x 3) y))))))>
#<alt (* (pow x 3) (pow y 3))>
#<alt (* (pow y 3) (+ (* 2 (/ (pow x 2) y)) (pow x 3)))>
#<alt (* (pow y 3) (+ (* 2 (/ x (pow y 2))) (+ (* 2 (/ (pow x 2) y)) (pow x 3))))>
#<alt (* (pow y 3) (+ (* 2 (/ x (pow y 2))) (+ (* 2 (/ (pow x 2) y)) (+ (/ 1 (pow y 3)) (pow x 3)))))>
#<alt (* (pow x 3) (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ (* -2 (/ (pow x 2) y)) (* -1 (pow x 3)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 2 (/ x y)) (* 2 (pow x 2))) y)) (* -1 (pow x 3)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -2 x) (/ 1 y)) y)) (* 2 (pow x 2))) y)) (* -1 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (* 2 (* x y)))>
#<alt (+ 1 (* x (+ (* 2 y) (* 2 (* x (pow y 2))))))>
#<alt (+ 1 (* x (+ (* 2 y) (* x (+ (* 2 (pow y 2)) (* x (pow y 3)))))))>
#<alt (* (pow x 3) (pow y 3))>
#<alt (* (pow x 3) (+ (* 2 (/ (pow y 2) x)) (pow y 3)))>
#<alt (* (pow x 3) (+ (* 2 (/ y (pow x 2))) (+ (* 2 (/ (pow y 2) x)) (pow y 3))))>
#<alt (* (pow x 3) (+ (* 2 (/ y (pow x 2))) (+ (* 2 (/ (pow y 2) x)) (+ (/ 1 (pow x 3)) (pow y 3)))))>
#<alt (* (pow x 3) (pow y 3))>
#<alt (* -1 (* (pow x 3) (+ (* -2 (/ (pow y 2) x)) (* -1 (pow y 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 2 (/ y x)) (* 2 (pow y 2))) x)) (* -1 (pow y 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -2 y) (/ 1 x)) x)) (* 2 (pow y 2))) x)) (* -1 (pow y 3)))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (- (/ x y) (pow x 2)))>
#<alt (* y (- (/ x y) (pow x 2)))>
#<alt (* y (- (/ x y) (pow x 2)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x (- (* x (pow y 2)) (* -1 y))))>
#<alt (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y))))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))>
#<alt (+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))>
#<alt -1>
#<alt (- (* x y) 1)>
#<alt (- (* x y) 1)>
#<alt (- (* x y) 1)>
#<alt (* x y)>
#<alt (* x (- y (/ 1 x)))>
#<alt (* x (- y (/ 1 x)))>
#<alt (* x (- y (/ 1 x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ 1 x))))>
#<alt -1>
#<alt (- (* x y) 1)>
#<alt (- (* x y) 1)>
#<alt (- (* x y) 1)>
#<alt (* x y)>
#<alt (* y (- x (/ 1 y)))>
#<alt (* y (- x (/ 1 y)))>
#<alt (* y (- x (/ 1 y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ 1 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 (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>

Calls

69 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(* x (/ (- (* (+ 1 (* y (* x (+ 1 (* x y))))) (+ 1 (* x y))) (* (+ 1 (* x (* y (* y (* y (* x x)))))) (* y (* y (* x x))))) (* (+ 1 (* x (* y (* y (* y (* x x)))))) (+ 1 (* x y)))))
2.0ms	x	@	-inf	(* x (/ (- (* (+ 1 (* y (* x (+ 1 (* x y))))) (+ 1 (* x y))) (* (+ 1 (* x (* y (* y (* y (* x x)))))) (* y (* y (* x x))))) (* (+ 1 (* x (* y (* y (* y (* x x)))))) (+ 1 (* x y)))))
2.0ms	x	@	0	(* y (* x x))
1.0ms	y	@	inf	(* x (/ (- (* (+ 1 (* y (* x (+ 1 (* x y))))) (+ 1 (* x y))) (* (+ 1 (* x (* y (* y (* y (* x x)))))) (* y (* y (* x x))))) (* (+ 1 (* x (* y (* y (* y (* x x)))))) (+ 1 (* x y)))))
1.0ms	y	@	-inf	(* x (/ (- (* (+ 1 (* y (* x (+ 1 (* x y))))) (+ 1 (* x y))) (* (+ 1 (* x (* y (* y (* y (* x x)))))) (* y (* y (* x x))))) (* (+ 1 (* x (* y (* y (* y (* x x)))))) (+ 1 (* x y)))))

rewrite468.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3282×	`-lowering-.f32`
3282×	`-lowering-.f64`
2680×	`fma-lowering-fma.f32`
2680×	`fma-lowering-fma.f64`
2358×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	216
1	188	163
2	1895	154
0	8208	154

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 446

Calls

Call 1

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

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

simplify283.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

3762×	`-lowering-.f32`
3762×	`-lowering-.f64`
2332×	`+-lowering-+.f64`
2332×	`+-lowering-+.f32`
1848×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	482	2860
1	1692	2475
2	5996	2466
0	8583	2466

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
x
(* x (+ 1 (* x (- (* 2 y) y))))
(* x (+ 1 (* x (- (+ (* 2 y) (* x (- (* 2 (pow y 2)) (+ (* y (- (* 2 y) y)) (pow y 2))))) y))))
(* x (+ 1 (* x (- (+ (* 2 y) (* x (- (+ (* -1 (* x (* y (- (* 2 (pow y 2)) (+ (* y (- (* 2 y) y)) (pow y 2)))))) (* 2 (pow y 2))) (+ (* y (- (* 2 y) y)) (pow y 2))))) y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (+ (/ 1 x) (/ 2 (* (pow x 3) (pow y 2))))))
(* (pow x 2) (- (+ (* -1 y) (+ (/ 1 x) (* 2 (/ 1 (* (pow x 3) (pow y 2)))))) (* 2 (/ 1 (* (pow x 6) (pow y 5))))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (+ (/ 1 x) (/ 2 (* (pow x 3) (pow y 2))))))
(* (pow x 2) (+ (* -1 y) (* -1 (/ (- (/ 2 (* (pow x 5) (pow y 5))) (+ 1 (/ 2 (* (pow x 2) (pow y 2))))) x))))
x
(+ x (* y (- (* 2 (pow x 2)) (pow x 2))))
(+ x (* y (- (+ (* -1 (* (pow y 3) (+ (* (pow x 3) (- (* 2 (pow x 2)) (pow x 2))) (pow x 5)))) (* 2 (pow x 2))) (pow x 2))))
(+ x (* y (- (+ (* 2 (pow x 2)) (* (pow y 3) (- (* y (- (* -1 (pow x 6)) (+ (* -1 (* x (+ (* (pow x 3) (- (* 2 (pow x 2)) (pow x 2))) (pow x 5)))) (* (pow x 4) (- (* 2 (pow x 2)) (pow x 2)))))) (+ (* (pow x 3) (- (* 2 (pow x 2)) (pow x 2))) (pow x 5))))) (pow x 2))))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (+ (* -1 (pow x 2)) (/ 2 (* x (pow y 3)))) (* -1 (/ x y))))
(* y (- (+ (* -1 (pow x 2)) (* 2 (/ 1 (* x (pow y 3))))) (+ (* -1 (/ x y)) (* 2 (/ 1 (* (pow x 4) (pow y 6)))))))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ (- (* 2 (/ 1 (* x (pow y 2)))) (* -1 x)) y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ (- (/ 2 (* x (pow y 2))) (+ (* -1 x) (/ 2 (* (pow x 4) (pow y 5))))) y)) (pow x 2))))
1
(+ 1 (* y (- (* 2 x) x)))
(+ 1 (* y (- (+ (* 2 x) (* y (- (* 2 (pow x 2)) (+ (* x (- (* 2 x) x)) (pow x 2))))) x)))
(+ 1 (* y (- (+ (* 2 x) (* y (- (+ (* -1 (* x (* y (- (* 2 (pow x 2)) (+ (* x (- (* 2 x) x)) (pow x 2)))))) (* 2 (pow x 2))) (+ (* x (- (* 2 x) x)) (pow x 2))))) x)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (+ (/ 1 y) (/ 2 (* (pow x 2) (pow y 3))))))
(* y (- (+ (* -1 x) (+ (/ 1 y) (* 2 (/ 1 (* (pow x 2) (pow y 3)))))) (* 2 (/ 1 (* (pow x 5) (pow y 6))))))
(* -1 (* x y))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* y (+ x (* -1 (/ (+ 1 (* 2 (/ 1 (* (pow x 2) (pow y 2))))) y)))))
(* -1 (* y (+ x (* -1 (/ (- (+ 1 (/ 2 (* (pow x 2) (pow y 2)))) (/ 2 (* (pow x 5) (pow y 5)))) y)))))
1
(+ 1 (* x (- (* 2 y) y)))
(+ 1 (* x (- (+ (* 2 y) (* x (- (* 2 (pow y 2)) (+ (* y (- (* 2 y) y)) (pow y 2))))) y)))
(+ 1 (* x (- (+ (* 2 y) (* x (- (+ (* -1 (* x (* y (- (* 2 (pow y 2)) (+ (* y (- (* 2 y) y)) (pow y 2)))))) (* 2 (pow y 2))) (+ (* y (- (* 2 y) y)) (pow y 2))))) y)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (+ (/ 1 x) (/ 2 (* (pow x 3) (pow y 2))))))
(* x (- (+ (* -1 y) (+ (/ 1 x) (* 2 (/ 1 (* (pow x 3) (pow y 2)))))) (* 2 (/ 1 (* (pow x 6) (pow y 5))))))
(* -1 (* x y))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* x (+ y (* -1 (/ (+ 1 (* 2 (/ 1 (* (pow x 2) (pow y 2))))) x)))))
(* -1 (* x (+ y (* -1 (/ (- (+ 1 (/ 2 (* (pow x 2) (pow y 2)))) (/ 2 (* (pow x 5) (pow y 5)))) x)))))
1
(+ 1 (* 2 (* x y)))
(+ 1 (* y (+ (* 2 x) (* y (- (* 2 (pow x 2)) (pow x 2))))))
(+ 1 (* y (+ (* 2 x) (* y (- (+ (* 2 (pow x 2)) (* (pow x 3) y)) (pow x 2))))))
(* -1 (* (pow x 5) (pow y 5)))
(* (pow y 5) (- (/ (pow x 3) (pow y 2)) (pow x 5)))
(* (pow y 5) (- (+ (* 2 (/ (pow x 2) (pow y 3))) (/ (pow x 3) (pow y 2))) (+ (/ (pow x 2) (pow y 3)) (pow x 5))))
(* (pow y 5) (- (+ (* 2 (/ x (pow y 4))) (+ (* 2 (/ (pow x 2) (pow y 3))) (/ (pow x 3) (pow y 2)))) (+ (/ (pow x 2) (pow y 3)) (pow x 5))))
(* -1 (* (pow x 5) (pow y 5)))
(* -1 (* (pow y 5) (- (* -1 (/ (pow x 3) (pow y 2))) (* -1 (pow x 5)))))
(* -1 (* (pow y 5) (- (+ (* -1 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow y 3))) (* -1 (/ (pow x 3) (pow y 2)))) (* -1 (pow x 5)))))
(* -1 (* (pow y 5) (- (+ (* -1 (/ (- (+ (* 2 (/ x y)) (* 2 (pow x 2))) (pow x 2)) (pow y 3))) (* -1 (/ (pow x 3) (pow y 2)))) (* -1 (pow x 5)))))
1
(+ 1 (* 2 (* x y)))
(+ 1 (* x (+ (* 2 y) (* x (- (* 2 (pow y 2)) (pow y 2))))))
(+ 1 (* x (+ (* 2 y) (* x (- (+ (* 2 (pow y 2)) (* x (pow y 3))) (pow y 2))))))
(* -1 (* (pow x 5) (pow y 5)))
(* (pow x 5) (- (/ (pow y 3) (pow x 2)) (pow y 5)))
(* (pow x 5) (- (+ (* 2 (/ (pow y 2) (pow x 3))) (/ (pow y 3) (pow x 2))) (+ (/ (pow y 2) (pow x 3)) (pow y 5))))
(* (pow x 5) (- (+ (* 2 (/ y (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 3))) (/ (pow y 3) (pow x 2)))) (+ (/ (pow y 2) (pow x 3)) (pow y 5))))
(* -1 (* (pow x 5) (pow y 5)))
(* -1 (* (pow x 5) (- (* -1 (/ (pow y 3) (pow x 2))) (* -1 (pow y 5)))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (- (* 2 (pow y 2)) (pow y 2)) (pow x 3))) (* -1 (/ (pow y 3) (pow x 2)))) (* -1 (pow y 5)))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (- (+ (* 2 (/ y x)) (* 2 (pow y 2))) (pow y 2)) (pow x 3))) (* -1 (/ (pow y 3) (pow x 2)))) (* -1 (pow y 5)))))
1
(+ 1 (* 2 (* x y)))
(+ 1 (* y (+ (* 2 x) (* 2 (* (pow x 2) y)))))
(+ 1 (* y (+ (* 2 x) (* y (+ (* 2 (pow x 2)) (* (pow x 3) y))))))
(* (pow x 3) (pow y 3))
(* (pow y 3) (+ (* 2 (/ (pow x 2) y)) (pow x 3)))
(* (pow y 3) (+ (* 2 (/ x (pow y 2))) (+ (* 2 (/ (pow x 2) y)) (pow x 3))))
(* (pow y 3) (+ (* 2 (/ x (pow y 2))) (+ (* 2 (/ (pow x 2) y)) (+ (/ 1 (pow y 3)) (pow x 3)))))
(* (pow x 3) (pow y 3))
(* -1 (* (pow y 3) (+ (* -2 (/ (pow x 2) y)) (* -1 (pow x 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 2 (/ x y)) (* 2 (pow x 2))) y)) (* -1 (pow x 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -2 x) (/ 1 y)) y)) (* 2 (pow x 2))) y)) (* -1 (pow x 3)))))
1
(+ 1 (* 2 (* x y)))
(+ 1 (* x (+ (* 2 y) (* 2 (* x (pow y 2))))))
(+ 1 (* x (+ (* 2 y) (* x (+ (* 2 (pow y 2)) (* x (pow y 3)))))))
(* (pow x 3) (pow y 3))
(* (pow x 3) (+ (* 2 (/ (pow y 2) x)) (pow y 3)))
(* (pow x 3) (+ (* 2 (/ y (pow x 2))) (+ (* 2 (/ (pow y 2) x)) (pow y 3))))
(* (pow x 3) (+ (* 2 (/ y (pow x 2))) (+ (* 2 (/ (pow y 2) x)) (+ (/ 1 (pow x 3)) (pow y 3)))))
(* (pow x 3) (pow y 3))
(* -1 (* (pow x 3) (+ (* -2 (/ (pow y 2) x)) (* -1 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 2 (/ y x)) (* 2 (pow y 2))) x)) (* -1 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -2 y) (/ 1 x)) x)) (* 2 (pow y 2))) x)) (* -1 (pow y 3)))))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (- (/ 1 x) y))
(* -1 (* (pow x 2) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (- (/ 1 x) y))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (- (/ x y) (pow x 2)))
(* y (- (/ x y) (pow x 2)))
(* y (- (/ x y) (pow x 2)))
(* -1 (* (pow x 2) y))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
1
(+ 1 (* x y))
(+ 1 (* x (- (* x (pow y 2)) (* -1 y))))
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y))))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
1
(+ 1 (* x y))
(+ 1 (* y (- (* (pow x 2) y) (* -1 x))))
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
-1
(- (* x y) 1)
(- (* x y) 1)
(- (* x y) 1)
(* x y)
(* x (- y (/ 1 x)))
(* x (- y (/ 1 x)))
(* x (- y (/ 1 x)))
(* x y)
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
-1
(- (* x y) 1)
(- (* x y) 1)
(- (* x y) 1)
(* x y)
(* y (- x (/ 1 y)))
(* y (- x (/ 1 y)))
(* y (- x (/ 1 y)))
(* x y)
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* y (+ (* -1 x) (/ 1 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)
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))

Outputs
x
(* x (+ 1 (* x (- (* 2 y) y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x y)))
(* x (+ 1 (* x (- (+ (* 2 y) (* x (- (* 2 (pow y 2)) (+ (* y (- (* 2 y) y)) (pow y 2))))) y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 y y))) y))))
(* x (+ 1 (* x (- (+ (* 2 y) (* x (- (+ (* -1 (* x (* y (- (* 2 (pow y 2)) (+ (* y (- (* 2 y) y)) (pow y 2)))))) (* 2 (pow y 2))) (+ (* y (- (* 2 y) y)) (pow y 2))))) y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (-.f64 (.f64 y y) (.f64 y y)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (-.f64 (.f64 y y) (*.f64 y y))))) y))))
(* -1 (* (pow x 2) y))
(.f64 x (-.f64 #s(literal 0 binary64) (.f64 x y)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(* (pow x 2) (+ (* -1 y) (+ (/ 1 x) (/ 2 (* (pow x 3) (pow y 2))))))
(.f64 (.f64 x x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (*.f64 y y))))
(* (pow x 2) (- (+ (* -1 y) (+ (/ 1 x) (* 2 (/ 1 (* (pow x 3) (pow y 2)))))) (* 2 (/ 1 (* (pow x 6) (pow y 5))))))
(.f64 (.f64 x x) (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (.f64 y y))) (/.f64 #s(literal -2 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 5 binary64))))))
(* -1 (* (pow x 2) y))
(.f64 x (-.f64 #s(literal 0 binary64) (.f64 x y)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(* (pow x 2) (+ (* -1 y) (+ (/ 1 x) (/ 2 (* (pow x 3) (pow y 2))))))
(.f64 (.f64 x x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (*.f64 y y))))
(* (pow x 2) (+ (* -1 y) (* -1 (/ (- (/ 2 (* (pow x 5) (pow y 5))) (+ 1 (/ 2 (* (pow x 2) (pow y 2))))) x))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 y (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 y y)))))) x)))
x
(+ x (* y (- (* 2 (pow x 2)) (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x y)))
(+ x (* y (- (+ (* -1 (* (pow y 3) (+ (* (pow x 3) (- (* 2 (pow x 2)) (pow x 2))) (pow x 5)))) (* 2 (pow x 2))) (pow x 2))))
(+.f64 x (.f64 y (+.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (+.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))))
(+ x (* y (- (+ (* 2 (pow x 2)) (* (pow y 3) (- (* y (- (* -1 (pow x 6)) (+ (* -1 (* x (+ (* (pow x 3) (- (* 2 (pow x 2)) (pow x 2))) (pow x 5)))) (* (pow x 4) (- (* 2 (pow x 2)) (pow x 2)))))) (+ (* (pow x 3) (- (* 2 (pow x 2)) (pow x 2))) (pow x 5))))) (pow x 2))))
(+.f64 x (.f64 y (+.f64 (.f64 y (.f64 (.f64 y y) (-.f64 (.f64 y (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)))))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (*.f64 x x))))
(* -1 (* (pow x 2) y))
(.f64 x (-.f64 #s(literal 0 binary64) (.f64 x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(.f64 y (-.f64 (/.f64 x y) (.f64 x x)))
(* y (- (+ (* -1 (pow x 2)) (/ 2 (* x (pow y 3)))) (* -1 (/ x y))))
(.f64 y (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) (.f64 x (.f64 y y)))) y)))
(* y (- (+ (* -1 (pow x 2)) (* 2 (/ 1 (* x (pow y 3))))) (+ (* -1 (/ x y)) (* 2 (/ 1 (* (pow x 4) (pow y 6)))))))
(.f64 y (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) (.f64 x (.f64 y y)))) y) (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))))))
(* -1 (* (pow x 2) y))
(.f64 x (-.f64 #s(literal 0 binary64) (.f64 x y)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(.f64 y (-.f64 (/.f64 x y) (.f64 x x)))
(* -1 (* y (+ (* -1 (/ (- (* 2 (/ 1 (* x (pow y 2)))) (* -1 x)) y)) (pow x 2))))
(.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) (.f64 x (.f64 y y)))) y)))
(* -1 (* y (+ (* -1 (/ (- (/ 2 (* x (pow y 2))) (+ (* -1 x) (/ 2 (* (pow x 4) (pow y 5))))) y)) (pow x 2))))
(.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (.f64 x x) (/.f64 (-.f64 (+.f64 x (/.f64 #s(literal 2 binary64) (.f64 x (.f64 y y)))) (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 5 binary64)))) y)))
1
#s(literal 1 binary64)
(+ 1 (* y (- (* 2 x) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x y))
(+ 1 (* y (- (+ (* 2 x) (* y (- (* 2 (pow x 2)) (+ (* x (- (* 2 x) x)) (pow x 2))))) x)))
(+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y (-.f64 (.f64 x x) (.f64 x x))) x)))
(+ 1 (* y (- (+ (* 2 x) (* y (- (+ (* -1 (* x (* y (- (* 2 (pow x 2)) (+ (* x (- (* 2 x) x)) (pow x 2)))))) (* 2 (pow x 2))) (+ (* x (- (* 2 x) x)) (pow x 2))))) x)))
(+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y (+.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 (-.f64 (.f64 x x) (.f64 x x)) (.f64 x y))))) x)))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* y (+ (* -1 x) (+ (/ 1 y) (/ 2 (* (pow x 2) (pow y 3))))))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 y (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 y (*.f64 y y)))))
(* y (- (+ (* -1 x) (+ (/ 1 y) (* 2 (/ 1 (* (pow x 2) (pow y 3)))))) (* 2 (/ 1 (* (pow x 5) (pow y 6))))))
(.f64 y (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 6 binary64))))))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* y (- x (/ 1 y))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 x (/.f64 #s(literal -1 binary64) y)))
(* -1 (* y (+ x (* -1 (/ (+ 1 (* 2 (/ 1 (* (pow x 2) (pow y 2))))) y)))))
(.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 y y))))) y)))
(* -1 (* y (+ x (* -1 (/ (- (+ 1 (/ 2 (* (pow x 2) (pow y 2)))) (/ 2 (* (pow x 5) (pow y 5)))) y)))))
(.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 y y))))) (/.f64 #s(literal -2 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) y)))
1
#s(literal 1 binary64)
(+ 1 (* x (- (* 2 y) y)))
(+.f64 #s(literal 1 binary64) (*.f64 x y))
(+ 1 (* x (- (+ (* 2 y) (* x (- (* 2 (pow y 2)) (+ (* y (- (* 2 y) y)) (pow y 2))))) y)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 y y) (.f64 y y))) y)))
(+ 1 (* x (- (+ (* 2 y) (* x (- (+ (* -1 (* x (* y (- (* 2 (pow y 2)) (+ (* y (- (* 2 y) y)) (pow y 2)))))) (* 2 (pow y 2))) (+ (* y (- (* 2 y) y)) (pow y 2))))) y)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (-.f64 (.f64 y y) (.f64 y y)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (-.f64 (.f64 y y) (.f64 y y))))) y)))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* x (+ (* -1 y) (+ (/ 1 x) (/ 2 (* (pow x 3) (pow y 2))))))
(.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (.f64 y y))))
(* x (- (+ (* -1 y) (+ (/ 1 x) (* 2 (/ 1 (* (pow x 3) (pow y 2)))))) (* 2 (/ 1 (* (pow x 6) (pow y 5))))))
(.f64 x (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (.f64 y y))) (/.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 5 binary64))))))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x (- y (/ 1 x))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (+ y (* -1 (/ (+ 1 (* 2 (/ 1 (* (pow x 2) (pow y 2))))) x)))))
(.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 y y))))) x)))
(* -1 (* x (+ y (* -1 (/ (- (+ 1 (/ 2 (* (pow x 2) (pow y 2)))) (/ 2 (* (pow x 5) (pow y 5)))) x)))))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 y (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 y y))))) (/.f64 #s(literal -2 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) x))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (* x y)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 x y)))
(+ 1 (* y (+ (* 2 x) (* y (- (* 2 (pow x 2)) (pow x 2))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x (.f64 y y)))))
(+ 1 (* y (+ (* 2 x) (* y (- (+ (* 2 (pow x 2)) (* (pow x 3) y)) (pow x 2))))))
(+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y (+.f64 (.f64 x x) (.f64 y (.f64 x (*.f64 x x))))))))
(* -1 (* (pow x 5) (pow y 5)))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))
(* (pow y 5) (- (/ (pow x 3) (pow y 2)) (pow x 5)))
(.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (pow.f64 x #s(literal 5 binary64))))
(* (pow y 5) (- (+ (* 2 (/ (pow x 2) (pow y 3))) (/ (pow x 3) (pow y 2))) (+ (/ (pow x 2) (pow y 3)) (pow x 5))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y (*.f64 y y)))) (pow.f64 x #s(literal 5 binary64))))
(* (pow y 5) (- (+ (* 2 (/ x (pow y 4))) (+ (* 2 (/ (pow x 2) (pow y 3))) (/ (pow x 3) (pow y 2)))) (+ (/ (pow x 2) (pow y 3)) (pow x 5))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (-.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y (.f64 y y)))) (pow.f64 x #s(literal 5 binary64))) (/.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(* -1 (* (pow x 5) (pow y 5)))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (* (pow y 5) (- (* -1 (/ (pow x 3) (pow y 2))) (* -1 (pow x 5)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (pow.f64 x #s(literal 5 binary64))))
(* -1 (* (pow y 5) (- (+ (* -1 (/ (- (* 2 (pow x 2)) (pow x 2)) (pow y 3))) (* -1 (/ (pow x 3) (pow y 2)))) (* -1 (pow x 5)))))
(.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (*.f64 y y)) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))))
(* -1 (* (pow y 5) (- (+ (* -1 (/ (- (+ (* 2 (/ x y)) (* 2 (pow x 2))) (pow x 2)) (pow y 3))) (* -1 (/ (pow x 3) (pow y 2)))) (* -1 (pow x 5)))))
(.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 y y))) (/.f64 (+.f64 (.f64 x x) (/.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (* x y)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 x y)))
(+ 1 (* x (+ (* 2 y) (* x (- (* 2 (pow y 2)) (pow y 2))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x (.f64 y y)))))
(+ 1 (* x (+ (* 2 y) (* x (- (+ (* 2 (pow y 2)) (* x (pow y 3))) (pow y 2))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x (+.f64 (.f64 y y) (.f64 x (.f64 y (*.f64 y y))))))))
(* -1 (* (pow x 5) (pow y 5)))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))
(* (pow x 5) (- (/ (pow y 3) (pow x 2)) (pow y 5)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x x)) (pow.f64 y #s(literal 5 binary64))))
(* (pow x 5) (- (+ (* 2 (/ (pow y 2) (pow x 3))) (/ (pow y 3) (pow x 2))) (+ (/ (pow y 2) (pow x 3)) (pow y 5))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x x)) (.f64 y (/.f64 y (.f64 x (*.f64 x x))))) (pow.f64 y #s(literal 5 binary64))))
(* (pow x 5) (- (+ (* 2 (/ y (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 3))) (/ (pow y 3) (pow x 2)))) (+ (/ (pow y 2) (pow x 3)) (pow y 5))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x x)) (.f64 y (/.f64 y (.f64 x (.f64 x x))))) (pow.f64 y #s(literal 5 binary64))) (/.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* (pow x 5) (pow y 5)))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (pow y 3) (pow x 2))) (* -1 (pow y 5)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x x)) (pow.f64 y #s(literal 5 binary64))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (- (* 2 (pow y 2)) (pow y 2)) (pow x 3))) (* -1 (/ (pow y 3) (pow x 2)))) (* -1 (pow y 5)))))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 (/.f64 (.f64 y (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 y (/.f64 y (.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (- (+ (* 2 (/ y x)) (* 2 (pow y 2))) (pow y 2)) (pow x 3))) (* -1 (/ (pow y 3) (pow x 2)))) (* -1 (pow y 5)))))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (+.f64 (.f64 y y) (/.f64 (.f64 #s(literal 2 binary64) y) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x x)) (pow.f64 y #s(literal 5 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (* x y)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 x y)))
(+ 1 (* y (+ (* 2 x) (* 2 (* (pow x 2) y)))))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x y))))))
(+ 1 (* y (+ (* 2 x) (* y (+ (* 2 (pow x 2)) (* (pow x 3) y))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x (.f64 y (.f64 y y))))))))
(* (pow x 3) (pow y 3))
(.f64 (.f64 y y) (.f64 y (.f64 x (*.f64 x x))))
(* (pow y 3) (+ (* 2 (/ (pow x 2) y)) (pow x 3)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (*.f64 x #s(literal 2 binary64))) y)))
(* (pow y 3) (+ (* 2 (/ x (pow y 2))) (+ (* 2 (/ (pow x 2) y)) (pow x 3))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 x (.f64 y y)) (/.f64 (.f64 x x) y)))))
(* (pow y 3) (+ (* 2 (/ x (pow y 2))) (+ (* 2 (/ (pow x 2) y)) (+ (/ 1 (pow y 3)) (pow x 3)))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 x (.f64 y y)) (/.f64 (.f64 x x) y)))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))
(* (pow x 3) (pow y 3))
(.f64 (.f64 y y) (.f64 y (.f64 x (*.f64 x x))))
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eval174.0ms (2.1%)

Compiler: Compiled 71817 to 2740 computations (96.2% saved)

prune378.0ms (4.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1029	5	1034
Fresh	0	0	0
Picked	2	2	4
Done	1	0	1
Total	1032	7	1039

Accuracy

100.0%

Counts

1039 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.9%	(/.f64 (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
▶	49.7%	(/.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) x)))
▶	77.0%	(/.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x y)))))
▶	53.2%	(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)))
▶	99.9%	(-.f64 x (.f64 (.f64 x y) x))
✓	93.3%	(-.f64 x (.f64 y (.f64 x x)))
✓	49.4%	x

Compiler

Compiled 170 to 101 computations (40.6% saved)

simplify185.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (.f64 x (.f64 y (*.f64 x y))) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 x #s(literal -1 binary64))
✓	cost-diff	128	(.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal -1 binary64)))
✓	cost-diff	768	(/.f64 (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 y (*.f64 x y))) #s(literal -1 binary64))
✓	cost-diff	640	(/.f64 (+.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x y)))
✓	cost-diff	640	(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x y))))
✓	cost-diff	768	(/.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x y)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	128	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) x))
✓	cost-diff	128	(/.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) x)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x y))
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 (.f64 x y) x)
✓	cost-diff	0	(-.f64 x (.f64 (.f64 x y) x))

Rules

2120×	`-lowering-.f32`
2120×	`-lowering-.f64`
1710×	`fmsub-define`
1524×	`fmm-def`
1436×	`sum4-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	28	214
1	72	210
2	185	206
3	486	203
4	1250	185
5	4024	184
0	8635	184

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize131.0ms (1.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 y (.f64 x y))
✓	accuracy	99.2%	(.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal -1 binary64)))
✓	accuracy	95.4%	(.f64 x (.f64 y (*.f64 x y)))
✓	accuracy	79.6%	(/.f64 (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	accuracy	99.8%	(.f64 y (.f64 x y))
✓	accuracy	99.5%	(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x y))))
✓	accuracy	95.4%	(.f64 x (.f64 y (*.f64 x y)))
✓	accuracy	74.9%	(/.f64 (+.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x y)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))
✓	accuracy	98.6%	(/.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) x)))
✓	accuracy	97.2%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) x))
✓	accuracy	86.9%	(.f64 x (.f64 y y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)))
✓	accuracy	99.3%	(/.f64 #s(literal -1 binary64) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 x (.f64 (.f64 x y) x))
✓	accuracy	99.8%	(.f64 (.f64 x y) x)

Results

84.0ms

256×

valid

Compiler

Compiled 258 to 29 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 21.0ms (48.4% of total)

ival-mult: 14.0ms (32.2% of total)

ival-add: 5.0ms (11.5% of total)

ival-sub: 3.0ms (6.9% of total)

const: 1.0ms (2.3% of total)

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

series40.0ms (0.5%)

Counts

19 → 444

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (- (/ x y) (pow x 2)))>
#<alt (* y (- (/ x y) (pow x 2)))>
#<alt (* y (- (/ x y) (pow x 2)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) 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 (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (* (pow x 3) (pow y 2)))>
#<alt (* (pow x 3) (+ (* -1 (pow y 2)) (* x (pow y 3))))>
#<alt (* (pow x 3) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3)))))>
#<alt (* (pow x 3) (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3)))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y))))>
#<alt (* (pow x 2) (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (* -1 (/ (- (/ 1 (* x y)) 1) x))))>
#<alt (* (pow x 2) (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x))))>
#<alt (* -1 (* (pow x 3) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (* (pow x 4) y)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (* y (+ (* -1 (* (pow x 5) y)) (pow x 4)))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (* y (+ (* y (+ (* -1 (pow x 5)) (* (pow x 6) y))) (pow x 4)))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (- (+ (* -1 (pow x 2)) (/ x y)) (/ 1 (pow y 2))))>
#<alt (* y (- (+ (* -1 (pow x 2)) (+ (/ 1 (* x (pow y 3))) (/ x y))) (/ 1 (pow y 2))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ (- x (/ 1 y)) y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y))) y)) (pow x 2))))>
#<alt (/ -1 (* (pow x 2) (pow y 2)))>
#<alt (/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2))>
#<alt (/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2))>
#<alt (/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (/ -1 (* (pow x 2) (pow y 2)))>
#<alt (/ (- (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2))>
#<alt (/ (- (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2))>
#<alt (/ (- (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ (+ (/ 1 (pow y 2)) (/ x y)) x)>
#<alt (/ (+ (/ 1 (pow y 2)) (/ x y)) x)>
#<alt (/ (+ (/ 1 (pow y 2)) (/ x y)) x)>
#<alt (/ 1 y)>
#<alt (+ (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (+ (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (+ (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (/ 1 y)>
#<alt (+ (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (+ (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (+ (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ (+ y (/ 1 x)) (pow y 2))>
#<alt (/ (+ y (/ 1 x)) (pow y 2))>
#<alt (/ (+ y (/ 1 x)) (pow y 2))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (/ 1 (* x y))) y)>
#<alt (/ (+ 1 (/ 1 (* x y))) y)>
#<alt (/ (+ 1 (/ 1 (* x y))) y)>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (/ 1 (* x y))) y)>
#<alt (/ (+ 1 (/ 1 (* x y))) y)>
#<alt (/ (+ 1 (/ 1 (* x y))) y)>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x (+ y (* x (pow y 2)))))>
#<alt (+ 1 (* x (+ y (* x (+ (* x (pow y 3)) (pow y 2))))))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* y (+ x (* (pow x 2) y))))>
#<alt (+ 1 (* y (+ x (* y (+ (* (pow x 3) y) (pow x 2))))))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))>
#<alt -1>
#<alt (- (* x y) 1)>
#<alt (- (* x y) 1)>
#<alt (- (* x y) 1)>
#<alt (* x y)>
#<alt (* x (- y (/ 1 x)))>
#<alt (* x (- y (/ 1 x)))>
#<alt (* x (- y (/ 1 x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ 1 x))))>
#<alt -1>
#<alt (- (* x y) 1)>
#<alt (- (* x y) 1)>
#<alt (- (* x y) 1)>
#<alt (* x y)>
#<alt (* y (- x (/ 1 y)))>
#<alt (* y (- x (/ 1 y)))>
#<alt (* y (- x (/ 1 y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ 1 y))))>
#<alt -1>
#<alt (- (* (pow x 2) (pow y 2)) 1)>
#<alt (- (* (pow x 2) (pow y 2)) 1)>
#<alt (- (* (pow x 2) (pow y 2)) 1)>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))>
#<alt -1>
#<alt (- (* (pow x 2) (pow y 2)) 1)>
#<alt (- (* (pow x 2) (pow y 2)) 1)>
#<alt (- (* (pow x 2) (pow y 2)) 1)>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))>
#<alt (* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))>
#<alt (* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))>
#<alt (* -1 (* (pow x 3) (pow y 2)))>
#<alt (* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))>
#<alt (* -1 (* (pow x 3) (pow y 2)))>
#<alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 3) (pow y 2))))>
#<alt (+ x (* -1 (* (pow x 3) (pow y 2))))>
#<alt (+ x (* -1 (* (pow x 3) (pow y 2))))>
#<alt (* -1 (* (pow x 3) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))>
#<alt (* -1 (* (pow x 3) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>

Calls

111 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(/ x (/ -1 (/ (+ (* x (* y (* x y))) -1) (+ 1 (* x y)))))
5.0ms	y	@	inf	(/ x (/ -1 (/ (+ (* x (* y (* x y))) -1) (+ 1 (* x y)))))
2.0ms	x	@	-inf	(/ x (/ (+ (/ 1 (* x (* y y))) (/ 1 y)) (- 0 x)))
1.0ms	x	@	0	(/ (+ (/ 1 (* x (* y y))) (/ 1 y)) (- 0 x))
1.0ms	y	@	0	(/ (+ (/ 1 (* x (* y y))) (/ 1 y)) (- 0 x))

rewrite406.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

3904×	`-lowering-.f32`
3904×	`-lowering-.f64`
3332×	`/-lowering-/.f32`
3332×	`/-lowering-/.f64`
1778×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	174
1	209	122
2	1986	121
0	8426	121

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 808

Calls

Call 1

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

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

simplify294.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

3194×	`-lowering-.f32`
3194×	`-lowering-.f64`
2060×	`+-lowering-+.f64`
2060×	`+-lowering-+.f32`
1968×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	3181
1	834	2938
2	2528	2910
3	7343	2910
0	8088	2910

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (- (/ 1 x) y))
(* -1 (* (pow x 2) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (- (/ 1 x) y))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (- (/ x y) (pow x 2)))
(* y (- (/ x y) (pow x 2)))
(* y (- (/ x y) (pow x 2)))
(* -1 (* (pow x 2) y))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) 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 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (* x (pow y 3))))
(* (pow x 3) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3)))))
(* (pow x 3) (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3)))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y))))
(* (pow x 2) (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (* -1 (/ (- (/ 1 (* x y)) 1) x))))
(* (pow x 2) (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x))))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (* (pow x 4) y)))
(* (pow y 2) (+ (* -1 (pow x 3)) (* y (+ (* -1 (* (pow x 5) y)) (pow x 4)))))
(* (pow y 2) (+ (* -1 (pow x 3)) (* y (+ (* y (+ (* -1 (pow x 5)) (* (pow x 6) y))) (pow x 4)))))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (+ (* -1 (pow x 2)) (/ x y)) (/ 1 (pow y 2))))
(* y (- (+ (* -1 (pow x 2)) (+ (/ 1 (* x (pow y 3))) (/ x y))) (/ 1 (pow y 2))))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ (- x (/ 1 y)) y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y))) y)) (pow x 2))))
(/ -1 (* (pow x 2) (pow y 2)))
(/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2))
(/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2))
(/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/ -1 (* (pow x 2) (pow y 2)))
(/ (- (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2))
(/ (- (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2))
(/ (- (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/ 1 (* x (pow y 2)))
(/ (+ (/ 1 (pow y 2)) (/ x y)) x)
(/ (+ (/ 1 (pow y 2)) (/ x y)) x)
(/ (+ (/ 1 (pow y 2)) (/ x y)) x)
(/ 1 y)
(+ (/ 1 y) (/ 1 (* x (pow y 2))))
(+ (/ 1 y) (/ 1 (* x (pow y 2))))
(+ (/ 1 y) (/ 1 (* x (pow y 2))))
(/ 1 y)
(+ (/ 1 y) (/ 1 (* x (pow y 2))))
(+ (/ 1 y) (/ 1 (* x (pow y 2))))
(+ (/ 1 y) (/ 1 (* x (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (+ y (/ 1 x)) (pow y 2))
(/ (+ y (/ 1 x)) (pow y 2))
(/ (+ y (/ 1 x)) (pow y 2))
(/ 1 y)
(/ (+ 1 (/ 1 (* x y))) y)
(/ (+ 1 (/ 1 (* x y))) y)
(/ (+ 1 (/ 1 (* x y))) y)
(/ 1 y)
(/ (+ 1 (/ 1 (* x y))) y)
(/ (+ 1 (/ 1 (* x y))) y)
(/ (+ 1 (/ 1 (* x y))) y)
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
1
(+ 1 (* x y))
(+ 1 (* x (+ y (* x (pow y 2)))))
(+ 1 (* x (+ y (* x (+ (* x (pow y 3)) (pow y 2))))))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
1
(+ 1 (* x y))
(+ 1 (* y (+ x (* (pow x 2) y))))
(+ 1 (* y (+ x (* y (+ (* (pow x 3) y) (pow x 2))))))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
-1
(- (* x y) 1)
(- (* x y) 1)
(- (* x y) 1)
(* x y)
(* x (- y (/ 1 x)))
(* x (- y (/ 1 x)))
(* x (- y (/ 1 x)))
(* x y)
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
-1
(- (* x y) 1)
(- (* x y) 1)
(- (* x y) 1)
(* x y)
(* y (- x (/ 1 y)))
(* y (- x (/ 1 y)))
(* y (- x (/ 1 y)))
(* x y)
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
-1
(- (* (pow x 2) (pow y 2)) 1)
(- (* (pow x 2) (pow y 2)) 1)
(- (* (pow x 2) (pow y 2)) 1)
(* (pow x 2) (pow y 2))
(* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow y 2) (/ 1 (pow x 2))))
-1
(- (* (pow x 2) (pow y 2)) 1)
(- (* (pow x 2) (pow y 2)) 1)
(- (* (pow x 2) (pow y 2)) 1)
(* (pow x 2) (pow y 2))
(* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))
(* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))
(* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))
(* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))
(* (pow y 2) (- (pow x 2) (/ 1 (pow y 2))))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
x
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* (pow x 3) (pow y 2)))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
x
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))

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

eval251.0ms (3.1%)

Compiler: Compiled 30602 to 2920 computations (90.5% saved)

prune128.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1515	5	1520
Fresh	0	0	0
Picked	4	1	5
Done	1	1	2
Total	1520	7	1527

Accuracy

100.0%

Counts

1527 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.8%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
▶	53.2%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) y))
▶	24.4%	(/.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x (.f64 y y))) (+.f64 #s(literal 1 binary64) (.f64 x y)))))
✓	99.9%	(-.f64 x (.f64 (.f64 x y) x))
▶	53.3%	(neg.f64 (.f64 (/.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y)) (/.f64 #s(literal 1 binary64) y))) x))
▶	48.6%	(neg.f64 (.f64 y (.f64 x x)))
✓	49.4%	x

Compiler

Compiled 162 to 95 computations (41.4% saved)

simplify197.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 y y)))
✓	cost-diff	64	(/.f64 (.f64 x (.f64 x (.f64 y y))) (+.f64 #s(literal 1 binary64) (.f64 x y)))
✓	cost-diff	256	(/.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x (.f64 y y))) (+.f64 #s(literal 1 binary64) (.f64 x y))))
✓	cost-diff	256	(/.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x (.f64 y y))) (+.f64 #s(literal 1 binary64) (.f64 x y)))))
✓	cost-diff	128	(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	128	(/.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	128	(.f64 (/.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y)) (/.f64 #s(literal 1 binary64) y))) x)
✓	cost-diff	192	(neg.f64 (.f64 (/.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y)) (/.f64 #s(literal 1 binary64) y))) x))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) x) y)
✓	cost-diff	0	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) y))
✓	cost-diff	-64	(neg.f64 (.f64 y (.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 y (.f64 x x))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	256	(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x y))
✓	cost-diff	384	(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x y)))
✓	cost-diff	768	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)))

Rules

2458×	`-lowering-.f32`
2458×	`-lowering-.f64`
1862×	`/-lowering-/.f32`
1862×	`/-lowering-/.f64`
1324×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	29	217
1	82	203
2	197	202
3	496	190
4	1752	182
5	4089	176
0	8458	176

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize154.0ms (1.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.6%	(/.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x (.f64 y y))) (+.f64 #s(literal 1 binary64) (.f64 x y)))))
✓	accuracy	95.4%	(.f64 x (.f64 x (*.f64 y y)))
✓	accuracy	86.9%	(.f64 x (.f64 y y))
✓	accuracy	74.9%	(/.f64 (.f64 x (.f64 x (.f64 y y))) (+.f64 #s(literal 1 binary64) (.f64 x y)))
✓	accuracy	100.0%	(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y))
✓	accuracy	98.7%	(.f64 (/.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y)) (/.f64 #s(literal 1 binary64) y))) x)
✓	accuracy	97.3%	(/.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	99.8%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) y))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal -1 binary64) x) y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(neg.f64 (.f64 y (.f64 x x)))
✓	accuracy	90.5%	(.f64 y (.f64 x x))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x y)))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	74.9%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
✓	accuracy	72.1%	(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x y))

Results

108.0ms

256×

valid

Compiler

Compiled 237 to 30 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 28.0ms (52.5% of total)

ival-mult: 18.0ms (33.7% of total)

ival-add: 4.0ms (7.5% of total)

ival-neg: 2.0ms (3.7% of total)

const: 1.0ms (1.9% of total)

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

series21.0ms (0.3%)

Counts

20 → 444

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (* x y))) x)>
#<alt (/ (+ 1 (* -1 (* x y))) x)>
#<alt (/ (+ 1 (* -1 (* x y))) x)>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (/ 1 x))>
#<alt (+ (* -1 y) (/ 1 x))>
#<alt (+ (* -1 y) (/ 1 x))>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (/ 1 x))>
#<alt (+ (* -1 y) (/ 1 x))>
#<alt (+ (* -1 y) (/ 1 x))>
#<alt (/ 1 x)>
#<alt (+ (* -1 y) (/ 1 x))>
#<alt (+ (* -1 y) (/ 1 x))>
#<alt (+ (* -1 y) (/ 1 x))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 (* x y)) 1))>
#<alt (* y (- (/ 1 (* x y)) 1))>
#<alt (* y (- (/ 1 (* x y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 (* x y)))))>
#<alt (* -1 (* y (- 1 (/ 1 (* x y)))))>
#<alt (* -1 (* y (- 1 (/ 1 (* x y)))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (* -1 (* (pow x 3) (pow y 2)))>
#<alt (* (pow x 3) (- (* x (pow y 3)) (pow y 2)))>
#<alt (* (pow x 3) (- (* x (+ (* -1 (* x (pow y 4))) (pow y 3))) (pow y 2)))>
#<alt (* (pow x 3) (- (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3))) (pow y 2)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) (+ y (/ 1 (* (pow x 2) y)))))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ y (/ 1 (* (pow x 2) y)))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 (* x y)) 1) x)) y))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x)) y))>
#<alt (* -1 (* (pow x 3) (pow y 2)))>
#<alt (* (pow y 2) (- (* (pow x 4) y) (pow x 3)))>
#<alt (* (pow y 2) (- (* y (+ (* -1 (* (pow x 5) y)) (pow x 4))) (pow x 3)))>
#<alt (* (pow y 2) (- (* y (+ (* y (+ (* -1 (pow x 5)) (* (pow x 6) y))) (pow x 4))) (pow x 3)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (- (/ x y) (pow x 2)))>
#<alt (* y (- (/ x y) (+ (/ 1 (pow y 2)) (pow x 2))))>
#<alt (* y (- (+ (/ 1 (* x (pow y 3))) (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (/ 1 y)) y)) (* -1 (pow x 2)))))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y))) y)) (* -1 (pow x 2)))))>
#<alt (* (pow x 3) (pow y 2))>
#<alt (* (pow x 3) (+ (* -1 (* x (pow y 3))) (pow y 2)))>
#<alt (* (pow x 3) (+ (* x (- (* x (pow y 4)) (pow y 3))) (pow y 2)))>
#<alt (* (pow x 3) (+ (* x (- (* x (- (* -1 (* x (pow y 5))) (* -1 (pow y 4)))) (pow y 3))) (pow y 2)))>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) (- y (/ 1 x)))>
#<alt (* (pow x 2) (- (+ y (/ 1 (* (pow x 2) y))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ y (/ 1 (* (pow x 2) y))) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))))>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) (- y (/ 1 x)))>
#<alt (* (pow x 2) (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x))))>
#<alt (* (pow x 2) (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x))))>
#<alt (* (pow x 3) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1 (* (pow x 4) y)) (pow x 3)))>
#<alt (* (pow y 2) (+ (* y (- (* (pow x 5) y) (pow x 4))) (pow x 3)))>
#<alt (* (pow y 2) (+ (* y (- (* y (- (* -1 (* (pow x 6) y)) (* -1 (pow x 5)))) (pow x 4))) (pow x 3)))>
#<alt (* (pow x 2) y)>
#<alt (* y (+ (* -1 (/ x y)) (pow x 2)))>
#<alt (* y (- (+ (/ 1 (pow y 2)) (pow x 2)) (/ x y)))>
#<alt (* y (- (+ (/ 1 (pow y 2)) (pow x 2)) (+ (/ 1 (* x (pow y 3))) (/ x y))))>
#<alt (* (pow x 2) y)>
#<alt (* -1 (* y (+ (* -1 (pow x 2)) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (/ 1 y) x) y)) (* -1 (pow x 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) 1) y)) x) y)) (* -1 (pow x 2)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (* -1 (* x (pow y 3))) (pow y 2)))>
#<alt (* (pow x 2) (+ (* x (- (* x (pow y 4)) (pow y 3))) (pow y 2)))>
#<alt (* (pow x 2) (+ (* x (- (* x (- (* -1 (* x (pow y 5))) (* -1 (pow y 4)))) (pow y 3))) (pow y 2)))>
#<alt (* x y)>
#<alt (* x (- y (/ 1 x)))>
#<alt (* x (- (+ y (/ 1 (* (pow x 2) y))) (/ 1 x)))>
#<alt (* x (- (+ y (/ 1 (* (pow x 2) y))) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (/ 1 (* x y)) 1) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1 (* (pow x 3) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* y (- (* (pow x 4) y) (pow x 3))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* y (- (* y (- (* -1 (* (pow x 5) y)) (* -1 (pow x 4)))) (pow x 3))) (pow x 2)))>
#<alt (* x y)>
#<alt (* y (- x (/ 1 y)))>
#<alt (* y (- (+ x (/ 1 (* x (pow y 2)))) (/ 1 y)))>
#<alt (* y (- (+ x (/ 1 (* x (pow y 2)))) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (/ 1 (* x y)) 1) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y)))))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ (+ y (/ 1 x)) (pow y 2))>
#<alt (/ (+ y (/ 1 x)) (pow y 2))>
#<alt (/ (+ y (/ 1 x)) (pow y 2))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (/ 1 (* x y))) y)>
#<alt (/ (+ 1 (/ 1 (* x y))) y)>
#<alt (/ (+ 1 (/ 1 (* x y))) y)>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (/ 1 (* x y))) y)>
#<alt (/ (+ 1 (/ 1 (* x y))) y)>
#<alt (/ (+ 1 (/ 1 (* x y))) y)>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ (+ (/ 1 (pow y 2)) (/ x y)) x)>
#<alt (/ (+ (/ 1 (pow y 2)) (/ x y)) x)>
#<alt (/ (+ (/ 1 (pow y 2)) (/ x y)) x)>
#<alt (/ 1 y)>
#<alt (+ (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (+ (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (+ (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (/ 1 y)>
#<alt (+ (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (+ (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (+ (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (* -1 (* (pow x 3) (pow y 2)))>
#<alt (* (pow x 3) (+ (* -1 (pow y 2)) (* x (pow y 3))))>
#<alt (* (pow x 3) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3)))))>
#<alt (* (pow x 3) (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3)))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y))))>
#<alt (* (pow x 2) (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (* -1 (/ (- (/ 1 (* x y)) 1) x))))>
#<alt (* (pow x 2) (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x))))>
#<alt (* -1 (* (pow x 3) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (* (pow x 4) y)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (* y (+ (* -1 (* (pow x 5) y)) (pow x 4)))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (* y (+ (* y (+ (* -1 (pow x 5)) (* (pow x 6) y))) (pow x 4)))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (- (+ (* -1 (pow x 2)) (/ x y)) (/ 1 (pow y 2))))>
#<alt (* y (- (+ (* -1 (pow x 2)) (+ (/ 1 (* x (pow y 3))) (/ x y))) (/ 1 (pow y 2))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ (- x (/ 1 y)) y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y))) y)) (pow x 2))))>
#<alt (/ -1 (* (pow x 2) (pow y 2)))>
#<alt (/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2))>
#<alt (/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2))>
#<alt (/ (- (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))>
#<alt (/ -1 (* (pow x 2) (pow y 2)))>
#<alt (/ (- (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2))>
#<alt (/ (- (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2))>
#<alt (/ (- (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (* -1 (* x (pow y 3))) (pow y 2)))>
#<alt (* (pow x 2) (+ (* x (- (* x (pow y 4)) (pow y 3))) (pow y 2)))>
#<alt (* (pow x 2) (+ (* x (- (* x (- (* -1 (* x (pow y 5))) (* -1 (pow y 4)))) (pow y 3))) (pow y 2)))>
#<alt (* x y)>
#<alt (* x (- y (/ 1 x)))>
#<alt (* x (- (+ y (/ 1 (* (pow x 2) y))) (/ 1 x)))>
#<alt (* x (- (+ y (/ 1 (* (pow x 2) y))) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (/ 1 (* x y)) 1) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1 (* (pow x 3) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* y (- (* (pow x 4) y) (pow x 3))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* y (- (* y (- (* -1 (* (pow x 5) y)) (* -1 (pow x 4)))) (pow x 3))) (pow x 2)))>
#<alt (* x y)>
#<alt (* y (- x (/ 1 y)))>
#<alt (* y (- (+ x (/ 1 (* x (pow y 2)))) (/ 1 y)))>
#<alt (* y (- (+ x (/ 1 (* x (pow y 2)))) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (/ 1 (* x y)) 1) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>

Calls

111 calls:

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

rewrite346.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3684×	`-lowering-.f32`
3684×	`-lowering-.f64`
3624×	`/-lowering-/.f32`
3624×	`/-lowering-/.f64`
2264×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	171
1	195	149
2	1905	136
0	9294	136

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 796

Calls

Call 1

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

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

simplify279.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4366×	`-lowering-.f32`
4366×	`-lowering-.f64`
3130×	`+-lowering-+.f64`
3130×	`+-lowering-+.f32`
1408×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	3456
1	1125	3289
2	3625	3256
0	8248	3256

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(/ 1 x)
(/ (+ 1 (* -1 (* x y))) x)
(/ (+ 1 (* -1 (* x y))) x)
(/ (+ 1 (* -1 (* x y))) x)
(* -1 y)
(+ (* -1 y) (/ 1 x))
(+ (* -1 y) (/ 1 x))
(+ (* -1 y) (/ 1 x))
(* -1 y)
(+ (* -1 y) (/ 1 x))
(+ (* -1 y) (/ 1 x))
(+ (* -1 y) (/ 1 x))
(/ 1 x)
(+ (* -1 y) (/ 1 x))
(+ (* -1 y) (/ 1 x))
(+ (* -1 y) (/ 1 x))
(* -1 y)
(* y (- (/ 1 (* x y)) 1))
(* y (- (/ 1 (* x y)) 1))
(* y (- (/ 1 (* x y)) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 (* x y)))))
(* -1 (* y (- 1 (/ 1 (* x y)))))
(* -1 (* y (- 1 (/ 1 (* x y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
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(pow x 2)
(pow x 2)
(pow x 2)
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(pow x 2)
(pow x 2)
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(pow x 2)
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(* -1 (* (pow x 2) y))
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(* (pow x 2) (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ y (/ 1 (* (pow x 2) y)))))
(* -1 (* (pow x 2) y))
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(* (pow x 2) (- (* -1 (/ (- (/ 1 (* x y)) 1) x)) y))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x)) y))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow y 2) (- (* (pow x 4) y) (pow x 3)))
(* (pow y 2) (- (* y (+ (* -1 (* (pow x 5) y)) (pow x 4))) (pow x 3)))
(* (pow y 2) (- (* y (+ (* y (+ (* -1 (pow x 5)) (* (pow x 6) y))) (pow x 4))) (pow x 3)))
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(* y (- (+ (/ 1 (* x (pow y 3))) (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2))))
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(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* -1 (* y (- (* -1 (/ (- x (/ 1 y)) y)) (* -1 (pow x 2)))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y))) y)) (* -1 (pow x 2)))))
(* (pow x 3) (pow y 2))
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(* (pow x 2) y)
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(* (pow y 2) (+ (* y (- (* (pow x 5) y) (pow x 4))) (pow x 3)))
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(* (pow x 2) (pow y 2))
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(* (pow x 2) (+ (* x (- (* x (pow y 4)) (pow y 3))) (pow y 2)))
(* (pow x 2) (+ (* x (- (* x (- (* -1 (* x (pow y 5))) (* -1 (pow y 4)))) (pow y 3))) (pow y 2)))
(* x y)
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(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x)))))
(* (pow x 2) (pow y 2))
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(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y)))))
(/ 1 (* x (pow y 2)))
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(/ (+ y (/ 1 x)) (pow y 2))
(/ (+ y (/ 1 x)) (pow y 2))
(/ 1 y)
(/ (+ 1 (/ 1 (* x y))) y)
(/ (+ 1 (/ 1 (* x y))) y)
(/ (+ 1 (/ 1 (* x y))) y)
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(* -1 (* (pow x 2) y))
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(* (pow y 2) (+ (* -1 (pow x 3)) (* y (+ (* -1 (* (pow x 5) y)) (pow x 4)))))
(* (pow y 2) (+ (* -1 (pow x 3)) (* y (+ (* y (+ (* -1 (pow x 5)) (* (pow x 6) y))) (pow x 4)))))
(* -1 (* (pow x 2) y))
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(/ -1 (* (pow x 2) (pow y 2)))
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(* (pow x 2) (pow y 2))
(/ 1 (* x (pow y 2)))
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(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
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Outputs
x
(* x (+ 1 (* -1 (* x y))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(* x (+ 1 (* -1 (* x y))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
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(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(* -1 (* (pow x 2) y))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(* -1 (* (pow x 2) y))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
x
(+ x (* -1 (* (pow x 2) y)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(+ x (* -1 (* (pow x 2) y)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(+ x (* -1 (* (pow x 2) y)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(* -1 (* (pow x 2) y))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(.f64 y (-.f64 (/.f64 x y) (.f64 x x)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(.f64 y (-.f64 (/.f64 x y) (.f64 x x)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(.f64 y (-.f64 (/.f64 x y) (.f64 x x)))
(* -1 (* (pow x 2) y))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(.f64 y (-.f64 (/.f64 x y) (.f64 x x)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(.f64 y (-.f64 (/.f64 x y) (.f64 x x)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(.f64 y (-.f64 (/.f64 x y) (.f64 x x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (* x y))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(/ (+ 1 (* -1 (* x y))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(/ (+ 1 (* -1 (* x y))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(+ (* -1 y) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) y)
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(-.f64 (/.f64 #s(literal 1 binary64) x) y)
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(-.f64 (/.f64 #s(literal 1 binary64) x) y)
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(-.f64 (/.f64 #s(literal 1 binary64) x) y)
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(-.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 y) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) y)
(+ (* -1 y) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) y)
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(-.f64 (/.f64 #s(literal 1 binary64) x) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ 1 (* x y)) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(* y (- (/ 1 (* x y)) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(* y (- (/ 1 (* x y)) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (- 1 (/ 1 (* x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(* -1 (* y (- 1 (/ 1 (* x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(* -1 (* y (- 1 (/ 1 (* x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
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(-.f64 #s(literal 0 binary64) y)
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(-.f64 #s(literal 0 binary64) y)
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(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
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(* -1 y)
(-.f64 #s(literal 0 binary64) y)
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(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
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(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y)
(/ 1 (* x (pow y 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y)
(/ 1 (* x (pow y 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y)
(/ 1 (* x (pow y 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y)
(/ 1 (* x (pow y 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y)
(/ 1 (* x (pow y 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y)
(/ 1 (* x (pow y 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y)
(/ 1 (* x (pow y 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y)
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))

eval168.0ms (2.1%)

Compiler: Compiled 24864 to 2864 computations (88.5% saved)

prune110.0ms (1.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1314	4	1318
Fresh	0	0	0
Picked	3	2	5
Done	0	2	2
Total	1317	8	1325

Accuracy

100.0%

Counts

1325 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.2%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) y))
✓	99.9%	(-.f64 x (.f64 (.f64 x y) x))
	24.4%	(neg.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 x y))) x))
	53.2%	(neg.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) x))
	53.3%	(neg.f64 (.f64 (.f64 x y) x))
	48.6%	(neg.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
✓	48.6%	(neg.f64 (.f64 y (.f64 x x)))
✓	49.4%	x

Compiler

Compiled 338 to 126 computations (62.7% saved)

regimes24.0ms (0.3%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
6.0ms	y
6.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes17.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	x
2.0ms	y
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 3

Calls

Call 1

Inputs
x
(neg.f64 (.f64 y (.f64 x x)))
(neg.f64 (.f64 (.f64 x y) x))

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
79.6%	3	`x`
76.5%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(neg.f64 (.f64 y (.f64 x x)))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.3%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
49.4%	1	`y`
49.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch14.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	105299301123634130.0	107956896588492160.0
13.0ms	-7.238881203320702e+90	-9.536829478506819e+85

Results

8.0ms

144×

valid

Compiler

Compiled 131 to 91 computations (30.5% saved)

Precisions

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

ival-mult: 2.0ms (61.2% of total)

ival-sub: 1.0ms (30.6% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	105299301123634130.0	107956896588492160.0
14.0ms	-7.238881203320702e+90	-9.536829478506819e+85

Results

9.0ms

144×

valid

Compiler

Compiled 131 to 91 computations (30.5% saved)

Precisions

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

ival-mult: 2.0ms (59.9% of total)

ival-sub: 1.0ms (30% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
16×	`+-commutative_binary64`
16×	`sub-neg_binary64`
14×	`distribute-lft-neg-in_binary64`
14×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	47
1	52	47
2	79	47
3	89	47
4	93	47

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 x y) x))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 x #s(literal -100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (neg.f64 (.f64 (.f64 x y) x)) (if (<=.f64 x #s(literal 106000000000000000 binary64)) x (neg.f64 (.f64 (.f64 x y) x))))
(if (<=.f64 x #s(literal -97999999999999993151712516457461012113357178078305652867973090538176177501583456600064 binary64)) (neg.f64 (.f64 y (.f64 x x))) (if (<=.f64 x #s(literal 106000000000000000 binary64)) x (neg.f64 (.f64 y (.f64 x x)))))
x

Outputs
(-.f64 x (.f64 (.f64 x y) x))
(-.f64 x (.f64 x (.f64 x y)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 x #s(literal -100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (neg.f64 (.f64 (.f64 x y) x)) (if (<=.f64 x #s(literal 106000000000000000 binary64)) x (neg.f64 (.f64 (.f64 x y) x))))
(if (<=.f64 x #s(literal -100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (.f64 x (.f64 x (-.f64 #s(literal 0 binary64) y))) (if (<=.f64 x #s(literal 106000000000000000 binary64)) x (.f64 x (.f64 x (-.f64 #s(literal 0 binary64) y)))))
(if (<=.f64 x #s(literal -97999999999999993151712516457461012113357178078305652867973090538176177501583456600064 binary64)) (neg.f64 (.f64 y (.f64 x x))) (if (<=.f64 x #s(literal 106000000000000000 binary64)) x (neg.f64 (.f64 y (.f64 x x)))))
(if (<=.f64 x #s(literal -97999999999999993151712516457461012113357178078305652867973090538176177501583456600064 binary64)) (.f64 y (.f64 x (-.f64 #s(literal 0 binary64) x))) (if (<=.f64 x #s(literal 106000000000000000 binary64)) x (.f64 y (.f64 x (-.f64 #s(literal 0 binary64) x)))))
x

soundness2.1s (25.5%)

Rules

3904×	`-lowering-.f32`
3904×	`-lowering-.f64`
3762×	`-lowering-.f32`
3762×	`-lowering-.f64`
3684×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	216
1	188	163
2	1895	154
0	8208	154
0	482	2860
1	1692	2475
2	5996	2466
0	8583	2466
0	29	171
1	195	149
2	1905	136
0	9294	136
0	6	15
1	28	15
2	189	13
3	1775	13
0	9282	13
0	34	368
1	114	296
2	239	296
3	651	296
4	3196	296
0	8451	296
0	28	174
1	209	122
2	1986	121
0	8426	121

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 132 to 68 computations (48.5% saved)

preprocess32.0ms (0.4%)

Compiler: Compiled 144 to 62 computations (56.9% saved)

analyze0.0ms (0%)

sample717.0ms (8.8%)

preprocess72.0ms (0.9%)

explain63.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify33.0ms (0.4%)

localize30.0ms (0.4%)

series7.0ms (0.1%)

rewrite318.0ms (3.9%)

simplify192.0ms (2.4%)

eval64.0ms (0.8%)

prune35.0ms (0.4%)

simplify182.0ms (2.2%)

localize152.0ms (1.9%)

series41.0ms (0.5%)

rewrite468.0ms (5.8%)

simplify283.0ms (3.5%)

eval174.0ms (2.1%)

prune378.0ms (4.7%)

simplify185.0ms (2.3%)

localize131.0ms (1.6%)

series40.0ms (0.5%)

rewrite406.0ms (5%)

simplify294.0ms (3.6%)

eval251.0ms (3.1%)

prune128.0ms (1.6%)

simplify197.0ms (2.4%)

localize154.0ms (1.9%)

series21.0ms (0.3%)

rewrite346.0ms (4.3%)

simplify279.0ms (3.4%)

eval168.0ms (2.1%)

prune110.0ms (1.4%)

regimes24.0ms (0.3%)

regimes17.0ms (0.2%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch14.0ms (0.2%)

bsearch15.0ms (0.2%)

simplify12.0ms (0.1%)

soundness2.1s (25.5%)

preprocess32.0ms (0.4%)

end0.0ms (0%)

Profiling