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)

sample696.0ms (9.5%)

Results

516.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-mult: 140.0ms (71% of total)

ival-sub: 44.0ms (22.3% of total)

const: 11.0ms (5.6% of total)

backward-pass: 2.0ms (1% of total)

Bogosity

preprocess74.0ms (1%)

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)

explain58.0ms (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

33.0ms

512×

valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

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

ival-mult: 8.0ms (60.3% of total)

ival-sub: 4.0ms (30.1% of total)

const: 1.0ms (7.5% 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)

simplify65.0ms (0.9%)

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

localize36.0ms (0.5%)

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

15.0ms

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 (67.6% of total)

ival-sub: 1.0ms (16.9% of total)

const: 0.0ms (0% of total)

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

series5.0ms (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
1.0ms	y	@	inf	(* x y)
1.0ms	y	@	0	(* x (- 1 (* x y)))
0.0ms	x	@	inf	(* x (- 1 (* x y)))
0.0ms	x	@	-inf	(* x (- 1 (* x y)))
0.0ms	x	@	0	(* x (- 1 (* x y)))

rewrite308.0ms (4.2%)

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)))

simplify178.0ms (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)

eval39.0ms (0.5%)

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

prune36.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	310	5	315
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	310	6	316

Accuracy

100.0%

Counts

316 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.7%	(/.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))))
▶	72.2%	(/.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)))
▶	99.9%	(/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x y) #s(literal 1 binary64))))
▶	91.9%	(-.f64 x (.f64 y (.f64 x x)))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
▶	49.3%	x

Compiler

Compiled 149 to 88 computations (40.9% saved)

simplify163.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(-.f64 x (.f64 y (.f64 (-.f64 #s(literal 0 binary64) x) x)))
✓	cost-diff	128	(-.f64 (.f64 x x) (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x x)))
✓	cost-diff	512	(/.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))))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 y (.f64 y (*.f64 x x))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 x x)))) x)
✓	cost-diff	64	(neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 x x)))) x))
✓	cost-diff	64	(/.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)))
✓	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 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))))

Rules

2514×	`-lowering-.f32`
2514×	`-lowering-.f64`
1324×	`sum3-define`
1068×	`fnmsub-define`
1038×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	202
1	80	193
2	251	183
3	843	169
4	3335	169
0	8314	169

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize127.0ms (1.7%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	89.5%	(.f64 y (.f64 (-.f64 #s(literal 0 binary64) x) x))
✓	accuracy	89.5%	(.f64 y (.f64 x x))
✓	accuracy	80.3%	(-.f64 (.f64 x x) (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x x)))
✓	accuracy	41.8%	(/.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))))
✓	accuracy	97.5%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 x x)))) x)
✓	accuracy	91.6%	(.f64 y (.f64 y (*.f64 x x)))
✓	accuracy	89.5%	(.f64 y (.f64 x x))
✓	accuracy	83.2%	(/.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)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 x (.f64 y (.f64 x x)))
✓	accuracy	89.5%	(.f64 y (.f64 x x))
✓	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	98.7%	(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x y) #s(literal 1 binary64)))

Results

78.0ms

256×

valid

Compiler

Compiled 219 to 26 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 18.0ms (49.9% of total)

ival-div: 7.0ms (19.4% of total)

ival-sub: 6.0ms (16.6% of total)

ival-add: 3.0ms (8.3% of total)

const: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

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

series25.0ms (0.3%)

Counts

16 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (- (* x x) (* (* y (* y (* x x))) (* x x))) (- x (* y (* (- 0 x) x))))
1.0ms	y	@	-inf	(/ -1 (- (* x y) 1))
1.0ms	x	@	0	(/ (neg (* (+ -1 (* y (* y (* x x)))) x)) (+ 1 (* x y)))
1.0ms	y	@	inf	(/ (neg (* (+ -1 (* y (* y (* x x)))) x)) (+ 1 (* x y)))
1.0ms	y	@	0	(/ (neg (* (+ -1 (* y (* y (* x x)))) x)) (+ 1 (* x y)))

rewrite554.0ms (7.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4028×	`/-lowering-/.f32`
4028×	`/-lowering-/.f64`
3754×	`-lowering-.f32`
3754×	`-lowering-.f64`
1994×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	120
1	193	103
2	1770	96
0	9499	96

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1471

Calls

Call 1

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

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

simplify314.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

2992×	`-lowering-.f32`
2992×	`-lowering-.f64`
2928×	`--lowering--.f32`
2928×	`--lowering--.f64`
2352×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	181	2682
1	576	2367
2	1540	2367
3	5485	2367
0	8074	2367

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

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

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

eval288.0ms (3.9%)

Compiler: Compiled 77741 to 2859 computations (96.3% saved)

prune148.0ms (2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	2103	5	2108
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	2106	8	2114

Accuracy

100.0%

Counts

2114 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.3%	(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x y) y) x)) x)) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
▶	24.4%	(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) x)) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
▶	49.9%	(/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y)))) x))
▶	53.7%	(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x y))) x))
✓	91.9%	(-.f64 x (.f64 y (.f64 x x)))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	49.3%	x

Compiler

Compiled 175 to 109 computations (37.7% saved)

simplify199.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 (.f64 (*.f64 x y) y) x))
✓	cost-diff	0	(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x y) y) x)) x)
✓	cost-diff	64	(neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x y) y) x)) x))
✓	cost-diff	704	(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x y) y) x)) x)) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	cost-diff	0	(.f64 x (.f64 y y))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 y y)))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x (.f64 y y))) x)
✓	cost-diff	64	(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) x)) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) y)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y))))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y)))) x)
✓	cost-diff	0	(/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y)))) 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 #s(literal -1 binary64) (*.f64 x y))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x y)))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x y))) x)
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x y))) x))

Rules

1932×	`-lowering-.f32`
1932×	`-lowering-.f64`
1760×	`fmsub-define`
1704×	`fma-lowering-fma.f32`
1704×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	243
1	75	230
2	192	220
3	627	213
4	2118	213
5	5724	213
0	8162	213

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize159.0ms (2.2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 x y) y)
✓	accuracy	97.5%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x y) y) x)) x)
✓	accuracy	97.3%	(.f64 (.f64 (*.f64 x y) y) x)
✓	accuracy	83.2%	(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x y) y) x)) x)) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	accuracy	97.3%	(.f64 x (.f64 x (*.f64 y y)))
✓	accuracy	95.6%	(.f64 (.f64 x (.f64 x (.f64 y y))) x)
✓	accuracy	86.9%	(.f64 x (.f64 y y))
✓	accuracy	83.2%	(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) x)) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	accuracy	99.3%	(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y)))) x)
✓	accuracy	98.8%	(/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y)))
✓	accuracy	97.9%	(/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y)))) 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	98.5%	(/.f64 #s(literal -1 binary64) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x y))) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x y))) x))
✓	accuracy	98.7%	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x y)))

Results

95.0ms

256×

valid

Compiler

Compiled 255 to 30 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 26.0ms (51.4% of total)

ival-mult: 14.0ms (27.7% of total)

ival-add: 7.0ms (13.8% of total)

ival-neg: 3.0ms (5.9% of total)

const: 1.0ms (2% of total)

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

series42.0ms (0.6%)

Counts

22 → 516

Calls

Call 1

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

129 calls:

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

rewrite363.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4108×	`/-lowering-/.f32`
4108×	`/-lowering-/.f64`
3324×	`-lowering-.f32`
3324×	`-lowering-.f64`
1684×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	186
1	198	160
2	1724	148
0	8463	148

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 710

Calls

Call 1

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

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

simplify353.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

3304×	`-lowering-.f32`
3304×	`-lowering-.f64`
2790×	`+-lowering-+.f64`
2790×	`+-lowering-+.f32`
1674×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	4275
1	1057	3996
2	3229	3935
0	8263	3935

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

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

eval484.0ms (6.6%)

Compiler: Compiled 25025 to 2549 computations (89.8% saved)

prune101.0ms (1.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1367	7	1374
Fresh	0	0	0
Picked	5	0	5
Done	0	3	3
Total	1372	10	1382

Accuracy

100.0%

Counts

1382 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.8%	(/.f64 x (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x y)) x) x))
▶	53.7%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x))
▶	53.7%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) y))
	53.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) x))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x y))))
▶	49.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	91.9%	(-.f64 x (.f64 y (.f64 x x)))
▶	48.1%	(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) y)
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	49.3%	x

Compiler

Compiled 171 to 111 computations (35.1% saved)

simplify111.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) y)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) y) x)
✓	cost-diff	0	(/.f64 x (/.f64 (/.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	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x y))))

Rules

944×	`fma-define`
874×	`sum3-define`
806×	`fnmadd-define`
600×	`fmsub-define`
574×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	87
1	42	87
2	115	80
3	314	80
4	613	80
5	882	80
6	1239	80
7	1566	80
8	2689	80
9	3550	80
10	4021	80
11	4127	80
12	4143	80
13	4143	80
0	4143	80

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize86.0ms (1.2%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) y)
✓	accuracy	99.8%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x))
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal -1 binary64) y) x)
✓	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 #s(literal -1 binary64) x)
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal -1 binary64) x))
✓	accuracy	89.5%	(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x y))))

Results

56.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 21.0ms (78.2% of total)

ival-mult: 4.0ms (14.9% of total)

ival-sub: 1.0ms (3.7% of total)

const: 1.0ms (3.7% of total)

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

series5.0ms (0.1%)

Counts

14 → 276

Calls

Call 1

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

69 calls:

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

rewrite290.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2406×	`-lowering-.f32`
2406×	`-lowering-.f64`
1770×	`/-lowering-/.f32`
1770×	`/-lowering-/.f64`
1766×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	115	64
2	797	61
3	4994	61
0	8482	61

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 704

Calls

Call 1

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

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

simplify231.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2398×	`-lowering-.f32`
2398×	`-lowering-.f64`
2240×	`/-lowering-/.f32`
2240×	`/-lowering-/.f64`
1680×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1557
1	400	1470
2	974	1470
3	4173	1467
0	8147	1467

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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

eval134.0ms (1.8%)

Compiler: Compiled 15847 to 1693 computations (89.3% saved)

prune109.0ms (1.5%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	1050	2	1052
Fresh	0	2	2
Picked	0	5	5
Done	1	2	3
Total	1051	11	1062

Accuracy

100.0%

Counts

1062 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.8%	(/.f64 x (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x y)) x) x))
✓	53.7%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x))
✓	53.7%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) y))
	53.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) x))
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x y))))
✓	49.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	48.1%	(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) y)
	48.2%	(.f64 (neg.f64 (.f64 x x)) y)
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
	53.7%	(neg.f64 (.f64 x (.f64 x y)))
✓	49.3%	x

Compiler

Compiled 312 to 140 computations (55.1% saved)

regimes41.0ms (0.6%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	y
6.0ms	x
6.0ms	(.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)

regimes5.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
80.3%	3	`x`
74.6%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))

Outputs
x

Calls

2 calls:

2.0ms	x
1.0ms	y

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch20.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.50921762970784e-42	1.2302535322149045e-40
8.0ms	-1.4286735929293682e-53	-2.4095450183045627e-54

Results

12.0ms

208×

valid

Compiler

Compiled 183 to 127 computations (30.6% saved)

Precisions

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

ival-sub: 3.0ms (44.6% of total)

ival-mult: 3.0ms (44.6% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	24
1	33	24
2	48	24
3	55	24
4	59	24
5	60	24

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -5176309760092923/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (neg.f64 (*.f64 x (*.f64 x y))) (if (<=.f64 x #s(literal 6277101735386681/784637716923335095479473677900958302012794430558004314112 binary64)) x (neg.f64 (*.f64 x (*.f64 x y)))))

Outputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 x #s(literal -5176309760092923/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (neg.f64 (.f64 x (.f64 x y))) (if (<=.f64 x #s(literal 6277101735386681/784637716923335095479473677900958302012794430558004314112 binary64)) x (neg.f64 (.f64 x (.f64 x y)))))
(if (<=.f64 x #s(literal -5176309760092923/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) (if (<=.f64 x #s(literal 6277101735386681/784637716923335095479473677900958302012794430558004314112 binary64)) x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y)))))
x

soundness1.5s (19.9%)

Rules

4108×	`/-lowering-/.f32`
4108×	`/-lowering-/.f64`
3324×	`-lowering-.f32`
3324×	`-lowering-.f64`
2992×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	368
1	114	296
2	239	296
3	651	296
4	3196	296
0	8451	296
0	29	186
1	198	160
2	1724	148
0	8463	148
0	181	2682
1	576	2367
2	1540	2367
3	5485	2367
0	8074	2367
0	18	68
1	115	64
2	797	61
3	4994	61
0	8482	61
0	6	15
1	28	15
2	189	13
3	1775	13
0	9282	13

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

Compiler

Compiled 65 to 36 computations (44.6% saved)

preprocess24.0ms (0.3%)

Compiler: Compiled 84 to 42 computations (50% saved)

analyze0.0ms (0%)

sample696.0ms (9.5%)

preprocess74.0ms (1%)

explain58.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify65.0ms (0.9%)

localize36.0ms (0.5%)

series5.0ms (0.1%)

rewrite308.0ms (4.2%)

simplify178.0ms (2.4%)

eval39.0ms (0.5%)

prune36.0ms (0.5%)

simplify163.0ms (2.2%)

localize127.0ms (1.7%)

series25.0ms (0.3%)

rewrite554.0ms (7.5%)

simplify314.0ms (4.3%)

eval288.0ms (3.9%)

prune148.0ms (2%)

simplify199.0ms (2.7%)

localize159.0ms (2.2%)

series42.0ms (0.6%)

rewrite363.0ms (4.9%)

simplify353.0ms (4.8%)

eval484.0ms (6.6%)

prune101.0ms (1.4%)

simplify111.0ms (1.5%)

localize86.0ms (1.2%)

series5.0ms (0.1%)

rewrite290.0ms (3.9%)

simplify231.0ms (3.2%)

eval134.0ms (1.8%)

prune109.0ms (1.5%)

regimes41.0ms (0.6%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch20.0ms (0.3%)

simplify9.0ms (0.1%)

soundness1.5s (19.9%)

preprocess24.0ms (0.3%)

end0.0ms (0%)

Profiling