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)

sample774.0ms (11.1%)

Results

575.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 267.0ms

ival-mult: 210.0ms (78.5% of total)

ival-sub: 43.0ms (16.1% of total)

const: 11.0ms (4.1% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess72.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	44
1	64	44
2	130	38
3	392	33
4	1067	30
5	2599	30
6	2993	30
7	3041	30
0	6	7
1	15	7
2	32	6
3	72	6
4	172	5
5	288	5
6	432	5
7	581	5
8	1391	5
9	1698	5
10	1887	5
0	1887	5

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

explain72.0ms (1%)

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

47.0ms

512×

valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 12.0ms (69.1% of total)

ival-sub: 5.0ms (28.8% of total)

const: 1.0ms (5.8% 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
▶	99.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify35.0ms (0.5%)

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: 4 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	15	18
2	32	16
3	72	16
4	172	15
5	288	15
6	432	15
7	581	15
8	1391	15
9	1698	15
10	1887	15
0	1887	15

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

localize35.0ms (0.5%)

Localize:

Found 3 expressions of interest:

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

Results

27.0ms

256×

valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

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

ival-mult: 5.0ms (76.5% of total)

ival-sub: 1.0ms (15.3% 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)))
1.0ms	x	@	0	(* x (- 1 (* x y)))
0.0ms	x	@	inf	(* x (- 1 (* x y)))
0.0ms	x	@	-inf	(* x (- 1 (* x y)))

rewrite317.0ms (4.6%)

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: 3 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	28	15
2	190	13
3	1793	12
0	9324	12

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

simplify173.0ms (2.5%)

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	274
2	240	274
3	652	274
4	3198	274
0	8461	274

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)

eval42.0ms (0.6%)

Compiler: Compiled 10368 to 847 computations (91.8% saved)

prune44.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	307	8	315
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	307	9	316

Accuracy

100.0%

Counts

316 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.3%	(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x x) x)
	33.5%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 x x))) (-.f64 x (neg.f64 (.f64 x (.f64 x y)))))
	64.8%	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) x) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 x y))))))
▶	80.2%	(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 x y)))) x)) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
▶	99.9%	(-.f64 x (.f64 x (.f64 x y)))
▶	65.8%	(.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 x y)))))))
	83.0%	(.f64 x (/.f64 (neg.f64 (-.f64 (.f64 y (.f64 x (.f64 x y))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x y))))
✓	99.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
▶	48.9%	x

Compiler

Compiled 305 to 160 computations (47.5% saved)

simplify198.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) y)
✓	cost-diff	6400	(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x x) x)
✓	cost-diff	64	(neg.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 x y))))
✓	cost-diff	64	(+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 x y)))))
✓	cost-diff	64	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 x y))))))
✓	cost-diff	64	(.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 x y)))))))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 y (.f64 x (*.f64 x y))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 x y)))) x)
✓	cost-diff	64	(neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 x y)))) x))
✓	cost-diff	704	(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 x y)))) x)) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 x (.f64 x y))
✓	cost-diff	0	(-.f64 x (.f64 x (.f64 x y)))

Rules

2528×	`-lowering-.f32`
2528×	`-lowering-.f64`
1308×	`sum3-define`
1202×	`times-frac`
1102×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	210
1	82	170
2	268	160
3	910	157
4	2698	157
5	7671	157
0	8270	157

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize141.0ms (2%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	94.3%	(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x x) x)
✓	accuracy	99.8%	(.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	accuracy	99.8%	(.f64 x (.f64 x y))
✓	accuracy	95.0%	(.f64 y (.f64 x (*.f64 x y)))
✓	accuracy	66.0%	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 x y))))))
✓	accuracy	99.8%	(.f64 x (.f64 x y))
✓	accuracy	99.2%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 x y)))) x)
✓	accuracy	95.0%	(.f64 y (.f64 x (*.f64 x y)))
✓	accuracy	82.2%	(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 x y)))) x)) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 x (.f64 x (.f64 x y)))
✓	accuracy	99.8%	(.f64 x (.f64 x y))

Results

98.0ms

256×

valid

Compiler

Compiled 245 to 25 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 18.0ms (48.3% of total)

ival-add: 6.0ms (16.1% of total)

ival-div: 4.0ms (10.7% of total)

compiled-spec: 4.0ms (10.7% of total)

ival-sub: 3.0ms (8% of total)

ival-neg: 3.0ms (8% of total)

const: 1.0ms (2.7% of total)

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

series30.0ms (0.4%)

Counts

16 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(* x (* x y))
3.0ms	y	@	inf	(* x (/ (+ -1 (* (* x y) (* y (* x (* x y))))) (+ -1 (neg (* (* x y) (+ 1 (* x y)))))))
2.0ms	x	@	0	(/ (neg (* (+ -1 (* y (* x (* x y)))) x)) (+ 1 (* x y)))
2.0ms	x	@	inf	(* y (* x (* x y)))
1.0ms	x	@	inf	(* x (/ (+ -1 (* (* x y) (* y (* x (* x y))))) (+ -1 (neg (* (* x y) (+ 1 (* x y)))))))

rewrite320.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3462×	`/-lowering-/.f32`
3462×	`/-lowering-/.f64`
2940×	`-lowering-.f32`
2940×	`-lowering-.f64`
1486×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	146
1	175	118
2	1566	88
0	9415	88

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 677

Calls

Call 1

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

Outputs
(+.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y))))) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x))))))
(+.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)) (neg.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x))))
(+.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) x))))
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)))) (/.f64 (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y))))) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)))))
(-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) x)) (/.f64 (.f64 x x) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) x)))
(fma.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x y)) x)
(fma.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) x) x)
(fma.f64 #s(literal -1 binary64) (.f64 x (.f64 x y)) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) y) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x y) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) y x)
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x) y x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 x (.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 x (.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 x (.f64 x y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (*.f64 x y))))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))))) (+.f64 (.f64 x (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))))) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) x))
(/.f64 (.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (-.f64 x (.f64 x (.f64 x y)))) (.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y))))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y))))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y))))))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (-.f64 x (.f64 x (.f64 x y))))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x))) (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y))))))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x))) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)) (.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))))) (.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) x)) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) x) (.f64 x x))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) x) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x y))) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (-.f64 x (.f64 x (.f64 x y)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y))))) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y))))) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)))) (/.f64 (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y))))) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)))) (/.f64 (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y))))) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)) (/.f64 (.f64 x x) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x))) (.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) x)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) x)) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) x))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) x)) (/.f64 (.f64 x x) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) x))) (.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) x)) (/.f64 (.f64 x x) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x y))) x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 x (.f64 x y)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 x (.f64 x (*.f64 x y))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) x)))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)) (.f64 (.f64 x y) (.f64 x (.f64 x (*.f64 x y)))))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x (.f64 x x)))))))
(.f64 (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x y))) x)))
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(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)) (.f64 (.f64 x y) (.f64 x (.f64 x (*.f64 x y)))))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x (.f64 x x)))))))
(.f64 (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x y))) x)))
(.f64 (.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (-.f64 x (.f64 x (.f64 x y)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x y)) (.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) x))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x y)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)) (.f64 (.f64 x y) (.f64 x (.f64 x (*.f64 x y))))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (-.f64 x (.f64 x (.f64 x y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 x y)))) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x y))) x))))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal 1 binary64)) x)
(.f64 (/.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (+.f64 (.f64 x y) #s(literal 1 binary64))) (/.f64 (-.f64 x (.f64 x (.f64 x y))) x))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) y)
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(neg.f64 y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))
(/.f64 (.f64 y (.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 y y) (-.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (*.f64 y y)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) #s(literal 0 binary64)) (+.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))
(.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))))
(.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (*.f64 y y)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (*.f64 y y)))))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 x (*.f64 x y)))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 (.f64 x (*.f64 x y)) y)
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.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 x (.f64 x (.f64 y y))))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(.f64 (.f64 x (*.f64 y y)) x)
(+.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))
(+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x y))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 x (+.f64 (*.f64 x y) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x y)))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))) (-.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))))
(fma.f64 x y (.f64 x (.f64 x (*.f64 y y))))
(fma.f64 x (.f64 x (.f64 y y)) (*.f64 x y))
(fma.f64 y x (.f64 x (.f64 x (*.f64 y y))))
(fma.f64 y (.f64 x (.f64 x y)) (*.f64 x y))
(fma.f64 (.f64 x y) (.f64 x y) (*.f64 x y))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y))))
(fma.f64 (.f64 x (.f64 x y)) y (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 x (.f64 x (.f64 y y))))
(fma.f64 (.f64 x x) (.f64 y y) (*.f64 x y))
(fma.f64 (.f64 y y) (.f64 x x) (*.f64 x y))
(fma.f64 (.f64 x (.f64 y y)) x (*.f64 x y))
(neg.f64 (.f64 y (.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x y)))))
(/.f64 (.f64 x y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))))) (+.f64 (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x (.f64 x (*.f64 y y))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (+.f64 (.f64 x y) #s(literal -1 binary64)))) (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (+.f64 (.f64 x y) #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))) (.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y)))) (.f64 x y))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (+.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 1 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))))) (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))) (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))))))
(/.f64 (+.f64 (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))))) (+.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))) (.f64 x (.f64 y (.f64 x (.f64 x (*.f64 y y))))))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))))) (-.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))
(/.f64 (.f64 (.f64 y (.f64 x (+.f64 (.f64 x y) #s(literal 1 binary64)))) (.f64 y (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x y))))) (.f64 y (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x y)))))
(/.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (+.f64 (.f64 x y) #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y))))) (-.f64 #s(literal 1 binary64) (.f64 x y)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))) (.f64 x y)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (+.f64 (.f64 x y) #s(literal -1 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y)))) (.f64 x y)) (-.f64 #s(literal 1 binary64) (.f64 x y)))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))))))) (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))) (.f64 x (.f64 y (.f64 x (.f64 x (*.f64 y y)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))))) (neg.f64 (-.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))))
(/.f64 (neg.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (+.f64 (.f64 x y) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y)))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x y))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))) (.f64 x y))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (+.f64 (.f64 x y) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y)))) (.f64 x y))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x y))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) (+.f64 (.f64 x y) #s(literal 1 binary64)))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) (+.f64 (.f64 x y) #s(literal 1 binary64)))) #s(literal 0 binary64))))
(.f64 x (.f64 y (+.f64 (*.f64 x y) #s(literal 1 binary64))))
(.f64 y (.f64 x (+.f64 (*.f64 x y) #s(literal 1 binary64))))
(.f64 (.f64 x y) (+.f64 (*.f64 x y) #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 y (.f64 x (+.f64 (.f64 x y) #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 x y) #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 (*.f64 x y) #s(literal 1 binary64)) x) y)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (-.f64 #s(literal -1 binary64) (*.f64 x y)))
(.f64 (.f64 y (+.f64 (*.f64 x y) #s(literal 1 binary64))) x)
(.f64 (+.f64 (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))))))
(.f64 (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 x (.f64 x (*.f64 y y))))))
(.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (+.f64 (*.f64 x y) #s(literal -1 binary64))))))
(.f64 (.f64 (.f64 x y) (+.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 (.f64 y (.f64 x (.f64 x (.f64 y y)))))) (.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (+.f64 (*.f64 x y) #s(literal -1 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y)))) (.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x y))))

simplify224.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3208×	`-lowering-.f32`
3208×	`-lowering-.f64`
1284×	`+-lowering-+.f64`
1284×	`+-lowering-+.f32`
1134×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	2538
1	596	1868
2	2119	1762
3	5522	1762
0	8252	1762

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

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

eval157.0ms (2.2%)

Compiler: Compiled 37682 to 2404 computations (93.6% saved)

prune87.0ms (1.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1321	4	1325
Fresh	2	1	3
Picked	2	3	5
Done	0	1	1
Total	1325	9	1334

Accuracy

100.0%

Counts

1334 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.8%	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) x) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 x y))))))
✓	80.2%	(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 x y)))) x)) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
▶	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x y))))
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 x (.f64 x y)))))
▶	94.3%	(-.f64 x (.f64 (.f64 x x) y))
✓	99.9%	(-.f64 x (.f64 x (.f64 x y)))
▶	72.1%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 y y)))) (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x y))))
✓	99.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	48.9%	x

Compiler

Compiled 205 to 117 computations (42.9% saved)

simplify188.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) x)
✓	cost-diff	64	(neg.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 x y))))
✓	cost-diff	64	(+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 x y)))))
✓	cost-diff	64	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) x) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x y) (+.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 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 y y))))
✓	cost-diff	640	(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 y y)))) (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x y))))
✓	cost-diff	0	(.f64 x (.f64 x y))
✓	cost-diff	0	(-.f64 x (.f64 x (.f64 x y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 x (.f64 x (.f64 x y))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 x (.f64 x y)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) y)
✓	cost-diff	0	(-.f64 x (.f64 (.f64 x x) y))
✓	cost-diff	0	(*.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	128	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x y))))

Rules

2640×	`-lowering-.f32`
2640×	`-lowering-.f64`
2088×	`fmsub-define`
2060×	`fma-lowering-fma.f32`
2060×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	227
1	97	196
2	276	176
3	870	174
4	2408	174
5	6663	174
0	8373	174

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize171.0ms (2.5%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x y))
✓	accuracy	99.2%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) x)
✓	accuracy	95.0%	(.f64 y (.f64 x (*.f64 x y)))
✓	accuracy	68.1%	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) x) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 x y))))))
✓	accuracy	95.8%	(.f64 x (.f64 x (*.f64 y y)))
✓	accuracy	93.7%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 y y)))) (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x y))))
✓	accuracy	90.0%	(/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x y)))
✓	accuracy	89.8%	(.f64 x (.f64 y y))
✓	accuracy	100.0%	(-.f64 x (.f64 x (.f64 x y)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 x (.f64 x y)))))
✓	accuracy	99.8%	(.f64 x (.f64 x y))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 x (.f64 x (.f64 x y))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 x (.f64 (.f64 x x) y))
✓	accuracy	91.6%	(.f64 (.f64 x x) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x y))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x y)))

Results

124.0ms

256×

valid

Compiler

Compiled 266 to 32 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 21.0ms (44% of total)

ival-div: 10.0ms (20.9% of total)

ival-add: 10.0ms (20.9% of total)

ival-sub: 5.0ms (10.5% of total)

const: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

series15.0ms (0.2%)

Counts

21 → 492

Calls

Call 1

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

Calls

123 calls:

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

rewrite364.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3934×	`/-lowering-/.f32`
3934×	`/-lowering-/.f64`
3452×	`-lowering-.f32`
3452×	`-lowering-.f64`
1454×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	165
1	217	140
2	1718	127
0	8297	127

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1151

Calls

Call 1

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

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

simplify231.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

3532×	`-lowering-.f32`
3532×	`-lowering-.f64`
1468×	`times-frac`
1440×	`neg-lowering-neg.f64`
1440×	`neg-lowering-neg.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	3916
1	1125	3064
2	3311	2991
0	8859	2991

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

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

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

eval259.0ms (3.7%)

Compiler: Compiled 50642 to 3009 computations (94.1% saved)

prune141.0ms (2%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1876	6	1882
Fresh	0	0	0
Picked	4	1	5
Done	1	3	4
Total	1881	10	1891

Accuracy

100.0%

Counts

1891 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x))
▶	49.9%	(/.f64 x (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))) x))
▶	53.1%	(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)))
▶	48.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
▶	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y))))
✓	94.3%	(-.f64 x (.f64 (.f64 x x) y))
✓	99.9%	(-.f64 x (.f64 x (.f64 x y)))
	83.1%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x y)) y)) (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x y))))
✓	99.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	48.9%	x

Compiler

Compiled 178 to 112 computations (37.1% saved)

simplify129.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

1870×	`sum3-define`
1264×	`sum5-define`
1262×	`-lowering-.f32`
1262×	`-lowering-.f64`
1176×	`sum4-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	121
1	61	112
2	189	111
3	529	110
4	1227	108
5	2168	107
6	4565	107
0	8081	107

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize159.0ms (2.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))
✓	accuracy	98.9%	(/.f64 x (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))) x))
✓	accuracy	97.9%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))) x)
✓	accuracy	89.8%	(.f64 x (.f64 y y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(.f64 x (.f64 x y))
✓	accuracy	99.6%	(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y)))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)))
✓	accuracy	99.5%	(/.f64 #s(literal -1 binary64) (*.f64 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) x)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	99.7%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x))

Results

112.0ms

256×

valid

Compiler

Compiled 143 to 22 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 21.0ms (66.3% of total)

ival-mult: 8.0ms (25.3% of total)

ival-sub: 3.0ms (9.5% of total)

const: 1.0ms (3.2% of total)

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

series25.0ms (0.4%)

Counts

16 → 348

Calls

Call 1

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

Calls

87 calls:

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

rewrite283.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3366×	`/-lowering-/.f32`
3366×	`/-lowering-/.f64`
3058×	`-lowering-.f32`
3058×	`-lowering-.f64`
1246×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	94
1	157	86
2	1384	82
0	8682	82

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 763

Calls

Call 1

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

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

simplify277.0ms (4%)

Algorithm

1×	egg-herbie

Rules

3994×	`-lowering-.f32`
3994×	`-lowering-.f64`
1410×	`fma-define`
1388×	`sum3-define`
1334×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	2201
1	558	1851
2	1748	1793
3	7314	1793
0	8465	1793

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
x
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 (* 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))
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(* -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))
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(/ -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))
(* (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)
(* -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)
(* 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))
(/ 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)))

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

eval167.0ms (2.4%)

Compiler: Compiled 22079 to 2502 computations (88.7% saved)

prune161.0ms (2.3%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1219	4	1223
Fresh	1	0	1
Picked	4	1	5
Done	0	4	4
Total	1224	9	1233

Accuracy

100.0%

Counts

1233 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x))
	53.1%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) y))
✓	48.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	94.3%	(-.f64 x (.f64 (.f64 x x) y))
✓	99.9%	(-.f64 x (.f64 x (.f64 x y)))
	48.9%	(.f64 (neg.f64 (.f64 x x)) y)
✓	99.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
	53.1%	(neg.f64 (.f64 x (.f64 x y)))
✓	48.9%	x

Compiler

Compiled 344 to 117 computations (66% saved)

regimes22.0ms (0.3%)

Counts

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

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

Calls

3 calls:

8.0ms	y
7.0ms	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)

regimes9.0ms (0.1%)

Counts

5 → 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)))

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

Calls

3 calls:

4.0ms	y
2.0ms	x
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (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	y
2.0ms	x

Results

Accuracy	Segments	Branch
78.7%	3	`x`
73.1%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
48.9%	1	`y`
48.9%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch27.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.337121116957385e-45	1.5268106040846575e-42
13.0ms	-0.00022805843607384961	-1.888514230138014e-9

Results

15.0ms

272×

valid

Compiler

Compiled 235 to 163 computations (30.6% saved)

Precisions

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

ival-mult: 4.0ms (67% of total)

ival-sub: 1.0ms (16.7% 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`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`cancel-sign-sub-inv_binary64`
8×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	36	31
2	53	31
3	60	31
4	64	31
5	65	31

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 x (.f64 x y)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 x #s(literal -1438846037749345/73786976294838206464 binary64)) (neg.f64 (.f64 x (.f64 x y))) (if (<=.f64 x #s(literal 8838159243424447/100433627766186892221372630771322662657637687111424552206336 binary64)) x (neg.f64 (.f64 x (.f64 x y)))))
x

Outputs
(-.f64 x (.f64 x (.f64 x y)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 x #s(literal -1438846037749345/73786976294838206464 binary64)) (neg.f64 (.f64 x (.f64 x y))) (if (<=.f64 x #s(literal 8838159243424447/100433627766186892221372630771322662657637687111424552206336 binary64)) x (neg.f64 (.f64 x (.f64 x y)))))
(if (<=.f64 x #s(literal -1438846037749345/73786976294838206464 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) (if (<=.f64 x #s(literal 8838159243424447/100433627766186892221372630771322662657637687111424552206336 binary64)) x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y)))))
x

soundness1.6s (22.5%)

Rules

3532×	`-lowering-.f32`
3532×	`-lowering-.f64`
3462×	`/-lowering-/.f32`
3462×	`/-lowering-/.f64`
3366×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	94
1	157	86
2	1384	82
0	8682	82
0	34	368
1	114	274
2	240	274
3	652	274
4	3198	274
0	8461	274
0	6	15
1	28	15
2	190	13
3	1793	12
0	9324	12
0	333	3916
1	1125	3064
2	3311	2991
0	8859	2991
0	25	146
1	175	118
2	1566	88
0	9415	88

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 72 to 36 computations (50% saved)

preprocess27.0ms (0.4%)

Compiler: Compiled 98 to 44 computations (55.1% saved)

analyze0.0ms (0%)

sample774.0ms (11.1%)

preprocess72.0ms (1%)

explain72.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify35.0ms (0.5%)

localize35.0ms (0.5%)

series5.0ms (0.1%)

rewrite317.0ms (4.6%)

simplify173.0ms (2.5%)

eval42.0ms (0.6%)

prune44.0ms (0.6%)

simplify198.0ms (2.8%)

localize141.0ms (2%)

series30.0ms (0.4%)

rewrite320.0ms (4.6%)

simplify224.0ms (3.2%)

eval157.0ms (2.2%)

prune87.0ms (1.2%)

simplify188.0ms (2.7%)

localize171.0ms (2.5%)

series15.0ms (0.2%)

rewrite364.0ms (5.2%)

simplify231.0ms (3.3%)

eval259.0ms (3.7%)

prune141.0ms (2%)

simplify129.0ms (1.8%)

localize159.0ms (2.3%)

series25.0ms (0.4%)

rewrite283.0ms (4.1%)

simplify277.0ms (4%)

eval167.0ms (2.4%)

prune161.0ms (2.3%)

regimes22.0ms (0.3%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch27.0ms (0.4%)

simplify9.0ms (0.1%)

soundness1.6s (22.5%)

preprocess27.0ms (0.4%)

end0.0ms (0%)

Profiling