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)

sample704.0ms (8.4%)

Results

494.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-mult: 153.0ms (71.9% of total)

ival-sub: 46.0ms (21.6% of total)

const: 10.0ms (4.7% of total)

backward-pass: 3.0ms (1.4% of total)

Bogosity

preprocess93.0ms (1.1%)

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)

explain73.0ms (0.9%)

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

49.0ms

512×

valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

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

ival-mult: 8.0ms (52.6% of total)

ival-sub: 6.0ms (39.5% of total)

const: 1.0ms (6.6% of total)

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

eval0.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify54.0ms (0.6%)

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

localize46.0ms (0.5%)

Localize:

Found 3 expressions of interest:

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

Results

39.0ms

256×

valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

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

ival-mult: 4.0ms (68.6% of total)

ival-sub: 1.0ms (17.2% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite338.0ms (4%)

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)))

simplify203.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	368
1	114	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)

eval49.0ms (0.6%)

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

prune39.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	308	7	315
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	308	8	316

Accuracy

100.0%

Counts

316 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.1%	(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x x) x)
▶	70.6%	(/.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))))))
▶	85.8%	(/.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)))
	64.4%	(.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)))))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
▶	87.9%	(.f64 x (.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)))))
▶	55.2%	x

Compiler

Compiled 297 to 144 computations (51.5% saved)

simplify181.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 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	128	(/.f64 (.f64 y (.f64 x (*.f64 x y))) #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 x (*.f64 x y))) #s(literal 1 binary64)))
✓	cost-diff	896	(.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))))
✓	cost-diff	896	(.f64 x (.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)))))
✓	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

2346×	`-lowering-.f32`
2346×	`-lowering-.f64`
1210×	`fmsub-define`
1116×	`times-frac`
1056×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	269
1	88	198
2	310	190
3	1168	186
4	3378	179
5	7763	179
0	8224	179

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

localize166.0ms (2%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x y))
✓	accuracy	97.8%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) x)
✓	accuracy	94.2%	(.f64 y (.f64 x (*.f64 x y)))
✓	accuracy	74.8%	(/.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))))))
✓	accuracy	99.8%	(.f64 x (.f64 x y))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	accuracy	94.2%	(.f64 y (.f64 x (*.f64 x y)))
✓	accuracy	80.2%	(.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))))
✓	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	94.2%	(.f64 y (.f64 x (*.f64 x y)))
✓	accuracy	87.4%	(/.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

118.0ms

256×

valid

Compiler

Compiled 307 to 26 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 15.0ms (38.7% of total)

ival-div: 13.0ms (33.6% of total)

ival-add: 5.0ms (12.9% of total)

ival-sub: 3.0ms (7.7% of total)

ival-neg: 3.0ms (7.7% of total)

const: 1.0ms (2.6% of total)

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

series48.0ms (0.6%)

Counts

17 → 408

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

Calls

102 calls:

Time	Variable		Point	Expression
12.0ms	y	@	inf	(/ (* (+ -1 (* (* x y) (* y (* x (* x y))))) x) (+ -1 (neg (* (* x y) (+ 1 (* x y))))))
6.0ms	y	@	-inf	(/ (* (+ -1 (* (* x y) (* y (* x (* x y))))) x) (+ -1 (neg (* (* x y) (+ 1 (* x y))))))
3.0ms	x	@	inf	(/ (* (+ -1 (* (* x y) (* y (* x (* x y))))) x) (+ -1 (neg (* (* x y) (+ 1 (* x y))))))
2.0ms	x	@	-inf	(neg (* (+ -1 (* y (* x (* x y)))) x))
2.0ms	x	@	0	(/ (neg (* (+ -1 (* y (* x (* x y)))) x)) (+ 1 (* x y)))

rewrite618.0ms (7.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3910×	`/-lowering-/.f32`
3910×	`/-lowering-/.f64`
3886×	`-lowering-.f32`
3886×	`-lowering-.f64`
1446×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	190
1	181	119
2	1583	114
0	8192	114

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 714

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

Outputs
(+.f64 x (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x))))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x))) x)
(-.f64 x (.f64 y (.f64 x x)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 x x)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)))) (/.f64 (.f64 (.f64 y (.f64 x x)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x x))))) (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 x x)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)))))
(-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x x)))) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x))))) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x x)))) (-.f64 x (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x))))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x y)) x)
(fma.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) x) x)
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 x x)) x)
(fma.f64 (*.f64 x x) (neg.f64 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 (neg.f64 (*.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 (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 x x)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 x x)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x x)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (-.f64 x (.f64 y (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 x x)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 x x)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (-.f64 x (.f64 y (*.f64 x x))))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 x x)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x x)))))) (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 x x)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 x x)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x x)))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x x)))) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 x x)))))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (-.f64 x (.f64 y (.f64 x x)))) (.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) x))
(/.f64 (.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (-.f64 x (.f64 y (.f64 x x)))) (-.f64 x (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 x x)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x x))))))) (neg.f64 (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 x x)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 x x)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x x))))))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x x)))) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 x x))))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (-.f64 x (.f64 y (.f64 x x))))) (neg.f64 (.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (-.f64 x (.f64 y (.f64 x x))))) (neg.f64 (-.f64 x (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 x x)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 x x)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x))) (.f64 (.f64 y (.f64 x x)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x x))))))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 x x)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x))) (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 x x)) (.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 y (.f64 x x)))))) (.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 x x)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x x)))))))) (neg.f64 (neg.f64 (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 x x)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (-.f64 x (.f64 y (.f64 x x)))))) (neg.f64 (neg.f64 (.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) x))))
(/.f64 (+.f64 (.f64 (neg.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 x x))) x))))
(pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 x x)) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 x x)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x x))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (-.f64 x (.f64 y (*.f64 x x))))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 x x)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 x x)) (.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) x)))))
(.f64 (.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (-.f64 x (.f64 y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x)))
(.f64 (/.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) x) (+.f64 (.f64 x y) #s(literal 1 binary64))) (/.f64 (-.f64 x (.f64 y (.f64 x x))) x))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 x x)) #s(literal -1 binary64)))
(/.f64 (.f64 y (.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x x))) #s(literal -1 binary64))
(.f64 x (.f64 x y))
(.f64 x (/.f64 (.f64 x y) #s(literal 1 binary64)))
(.f64 y (.f64 x x))
(.f64 (.f64 x y) x)
(.f64 (.f64 x y) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 y (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 x x) y)
(.f64 (.f64 x x) (/.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(.f64 x (.f64 y #s(literal 1 binary64)))
(*.f64 y x)
(.f64 y (.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 1 binary64) x) y)
(.f64 (.f64 #s(literal 1 binary64) y) x)
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))))) #s(literal -1 binary64)))
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(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))) (neg.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))))) (+.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 x x))))))))
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(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x y))) #s(literal 3 binary64)) (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))) (neg.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))))) (+.f64 (.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x y))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x y)))) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))) (.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 x x))))))))
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(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 x x))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x)))))) (+.f64 (*.f64 x y) #s(literal 1 binary64)))
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(fma.f64 x #s(literal -1 binary64) (.f64 x (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))))
(fma.f64 x (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))) (.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) x (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))) x))
(fma.f64 (.f64 x (.f64 y (.f64 y (.f64 y (*.f64 x x))))) x (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))) (.f64 x (.f64 (.f64 y (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (*.f64 x x)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 y (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))))) x) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (*.f64 x x)))))))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))) (.f64 x (.f64 (.f64 y (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (*.f64 x x)))))))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 y (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))))))) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (*.f64 x x)))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 y (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (*.f64 x x))))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))) (.f64 x (.f64 (.f64 y (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))))))) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (*.f64 x x))))))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 y (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))))) x)) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (*.f64 x x))))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))) (.f64 x (.f64 (.f64 y (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (*.f64 x x))))))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))) 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 y (.f64 y (.f64 x x))))) x) (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))) x)) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (*.f64 x x))))) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))) #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 y (.f64 y (.f64 x x)))))) (.f64 x (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))))) (.f64 (.f64 x #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 y (.f64 y (.f64 y (*.f64 x x))))))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))) #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 y (.f64 y (.f64 x x)))))) (.f64 x (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))))) (-.f64 (.f64 (.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64))) (.f64 (.f64 x (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))) 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 y (.f64 y (.f64 x x))))) x) (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))) x)) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (.f64 (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (*.f64 x x))))) x) (-.f64 #s(literal 0 binary64) x)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x)))))) x)
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 x x)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 x x))))))
(/.f64 (.f64 y (.f64 y (*.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 x x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 x x)))) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 x x))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 x x)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(pow.f64 (.f64 y (.f64 y (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal 2 binary64))
(.f64 x (.f64 y (*.f64 x y)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 (.f64 x y) (/.f64 (*.f64 x y) #s(literal 1 binary64)))
(.f64 (.f64 y (*.f64 x x)) y)
(.f64 (.f64 y (.f64 x x)) (.f64 y #s(literal 1 binary64)))
(.f64 (.f64 y (*.f64 x x)) (/.f64 y #s(literal 1 binary64)))
(.f64 (.f64 y (.f64 y (.f64 x x))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal -1 binary64))
(.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 #s(literal 0 binary64) (.f64 x y)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(.f64 (.f64 y (*.f64 x y)) x)
(.f64 (.f64 y y) (*.f64 x x))
(.f64 (.f64 y y) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) y) (.f64 y (.f64 x x)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 y (.f64 x x))) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 x x))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y y))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(exp.f64 (.f64 (log1p.f64 (.f64 x y)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x y) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x y) #s(literal 1 binary64)))))
(pow.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x y) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) (+.f64 (*.f64 x y) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal -1 binary64))
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(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (pow.f64 (+.f64 (.f64 x y) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (-.f64 (*.f64 x y) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 x x))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (-.f64 (*.f64 x y) #s(literal 1 binary64))))) #s(literal -1 binary64)))

simplify253.0ms (3%)

Algorithm

1×	egg-herbie

Rules

3626×	`-lowering-.f32`
3626×	`-lowering-.f64`
1270×	`fnmadd-define`
1132×	`times-frac`
1072×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	3228
1	885	2439
2	2727	2320
0	8763	2320

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

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

eval220.0ms (2.6%)

Compiler: Compiled 42492 to 3010 computations (92.9% saved)

prune161.0ms (1.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1609	6	1615
Fresh	2	0	2
Picked	3	2	5
Done	0	1	1
Total	1614	9	1623

Accuracy

100.0%

Counts

1623 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.9%	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) x) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x (*.f64 x y)))))
▶	85.8%	(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x y))))) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
▶	85.8%	(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 x y))) x)) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
▶	34.0%	(/.f64 (neg.f64 (.f64 (.f64 y (.f64 x (.f64 x y))) x)) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))))
▶	89.1%	(-.f64 x (.f64 (.f64 x x) y))
✓	99.9%	(-.f64 x (.f64 x (.f64 x y)))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	55.2%	x

Compiler

Compiled 233 to 125 computations (46.4% saved)

simplify194.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (*.f64 x y)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 x y))) x)
✓	cost-diff	64	(neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 x y))) x))
✓	cost-diff	704	(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 x y))) x)) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	cost-diff	0	(.f64 y (.f64 x (*.f64 x y)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 x y))))
✓	cost-diff	0	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x y)))))
✓	cost-diff	640	(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x y))))) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	cost-diff	0	(.f64 x (.f64 x y))
✓	cost-diff	0	(.f64 y (.f64 x (*.f64 x y)))
✓	cost-diff	0	(.f64 (.f64 y (.f64 x (.f64 x y))) x)
✓	cost-diff	64	(/.f64 (neg.f64 (.f64 (.f64 y (.f64 x (.f64 x y))) x)) (+.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 x y))
✓	cost-diff	0	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))))

Rules

2250×	`-lowering-.f32`
2250×	`-lowering-.f64`
2028×	`fma-lowering-fma.f32`
2028×	`fma-lowering-fma.f64`
1930×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	178
1	88	174
2	240	161
3	677	157
4	2042	157
5	6631	157
0	8581	157

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize170.0ms (2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 x y))) x))
✓	accuracy	99.7%	(.f64 (.f64 x y) (*.f64 x y))
✓	accuracy	99.2%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 x y))) x)
✓	accuracy	87.4%	(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 x y))) x)) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	accuracy	99.8%	(.f64 x (.f64 x y))
✓	accuracy	99.2%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x y)))))
✓	accuracy	94.2%	(.f64 y (.f64 x (*.f64 x y)))
✓	accuracy	87.4%	(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x y))))) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	accuracy	99.8%	(.f64 x (.f64 x y))
✓	accuracy	97.2%	(.f64 (.f64 y (.f64 x (.f64 x y))) x)
✓	accuracy	94.2%	(.f64 y (.f64 x (*.f64 x y)))
✓	accuracy	87.5%	(/.f64 (neg.f64 (.f64 (.f64 y (.f64 x (.f64 x y))) x)) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 x (.f64 (.f64 x x) y))
✓	accuracy	85.3%	(.f64 (.f64 x x) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))))

Results

120.0ms

256×

valid

Compiler

Compiled 245 to 27 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 17.0ms (48.7% of total)

ival-div: 9.0ms (25.8% of total)

ival-sub: 4.0ms (11.5% of total)

ival-add: 3.0ms (8.6% of total)

ival-neg: 2.0ms (5.7% of total)

const: 1.0ms (2.9% of total)

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

series12.0ms (0.1%)

Counts

20 → 468

Calls

Call 1

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

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

Calls

117 calls:

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

rewrite485.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4712×	`-lowering-.f32`
4712×	`-lowering-.f64`
3988×	`/-lowering-/.f32`
3988×	`/-lowering-/.f64`
1786×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	123
1	179	122
2	1241	114
0	8243	114

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1734

Calls

Call 1

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

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

simplify282.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4006×	`-lowering-.f32`
4006×	`-lowering-.f64`
2742×	`/-lowering-/.f32`
2742×	`/-lowering-/.f64`
2216×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	3632
1	830	2654
2	2495	2573
0	8888	2573

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

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

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

eval339.0ms (4%)

Compiler: Compiled 72672 to 4005 computations (94.5% saved)

prune182.0ms (2.2%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	2524	5	2529
Fresh	1	0	1
Picked	3	2	5
Done	0	3	3
Total	2528	10	2538

Accuracy

100.0%

Counts

2538 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.8%	(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x y))))) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x y))))
▶	41.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x))))
▶	55.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	89.1%	(-.f64 x (.f64 (.f64 x x) y))
✓	99.9%	(-.f64 x (.f64 x (.f64 x y)))
▶	36.1%	(.f64 (.f64 y (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x y)))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x y))))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	55.2%	x

Compiler

Compiled 179 to 110 computations (38.5% saved)

simplify117.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

2018×	`sum3-define`
1996×	`fnmadd-define`
1692×	`-lowering-.f32`
1692×	`-lowering-.f64`
1264×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	150
1	71	133
2	208	125
3	689	120
4	2301	120
5	4279	119
6	7975	119
0	8007	119

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize159.0ms (1.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (-.f64 #s(literal 0 binary64) (.f64 x y)))
✓	accuracy	94.2%	(.f64 (.f64 y (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x y)))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x y))))
✓	accuracy	94.2%	(.f64 y (.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x y))))
✓	accuracy	92.3%	(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x y))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))
✓	accuracy	85.6%	(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x 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 x y)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x))))
✓	accuracy	99.7%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x)))

Results

121.0ms

256×

valid

Compiler

Compiled 179 to 25 computations (86% saved)

Precisions

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

ival-div: 19.0ms (59.1% of total)

ival-mult: 9.0ms (28% of total)

ival-sub: 3.0ms (9.3% of total)

ival-add: 1.0ms (3.1% of total)

const: 1.0ms (3.1% of total)

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

series17.0ms (0.2%)

Counts

18 → 384

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (/ (- 1 (* x y)) (/ 1 x))))>
#<alt (/ 1 (/ (- 1 (* x y)) (/ 1 x)))>
#<alt (/ (- 1 (* x y)) (/ 1 x))>
#<alt (- 1 (* x y))>
#<alt (/ 1 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ 1 (/ (/ -1 (* x x)) y))>
#<alt (/ (/ -1 (* x x)) y)>
#<alt (/ -1 (* x x))>
#<alt (* x x)>
#<alt (/ 1 (/ (/ 1 x) (- 1 (* x y))))>
#<alt (/ (/ 1 x) (- 1 (* x y)))>
#<alt (* (* y (* x (- 0 (* x y)))) (/ x (+ 1 (* x y))))>
#<alt (* y (* x (- 0 (* x y))))>
#<alt (* x (- 0 (* x y)))>
#<alt (- 0 (* x y))>
#<alt (* x y)>
#<alt (/ x (+ 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 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* x y)) x)>
#<alt (/ (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) x)>
#<alt (/ (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) x)>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) (pow x 2))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2))>
#<alt (/ 1 x)>
#<alt (+ y (/ 1 x))>
#<alt (+ (* y (+ 1 (* x y))) (/ 1 x))>
#<alt (+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y)>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))>
#<alt (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y))>
#<alt 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>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* x y)) x)>
#<alt (/ (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) x)>
#<alt (/ (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) x)>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) (pow x 2))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2))>
#<alt (/ 1 x)>
#<alt (+ y (/ 1 x))>
#<alt (+ (* y (+ 1 (* x y))) (/ 1 x))>
#<alt (+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y)>
#<alt (/ -1 (* (pow x 2) y))>
#<alt (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))>
#<alt (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y))>
#<alt (* -1 (* (pow x 3) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (* (pow x 4) y)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (* y (+ (* -1 (* (pow x 5) y)) (pow x 4)))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 3)) (* y (+ (* y (+ (* -1 (pow x 5)) (* (pow x 6) y))) (pow x 4)))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (- (+ (* -1 (pow x 2)) (/ x y)) (/ 1 (pow y 2))))>
#<alt (* y (- (+ (* -1 (pow x 2)) (+ (/ 1 (* x (pow y 3))) (/ x y))) (/ 1 (pow y 2))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ (- x (/ 1 y)) y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y))) y)) (pow x 2))))>
#<alt (* -1 (* (pow x 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 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* x (- (* x (pow y 2)) y))))>
#<alt (* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))>
#<alt (/ 1 y)>
#<alt (- (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))>
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))>
#<alt (/ 1 y)>
#<alt (- (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* y (- (* (pow x 3) y) (pow x 2))))>
#<alt (+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (/ 1 (* x y))) y)>
#<alt (/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)>
#<alt (/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ 1 (* x y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))>

Calls

96 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(/ (/ -1 (* x x)) y)
0.0ms	x	@	inf	(/ (/ -1 (* x x)) y)
0.0ms	y	@	0	(/ (/ -1 (* x x)) y)
0.0ms	x	@	0	(/ (/ -1 (* x x)) y)
0.0ms	x	@	-inf	(/ 1 (/ 1 x))

rewrite315.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4134×	`-lowering-.f32`
4134×	`-lowering-.f64`
3086×	`/-lowering-/.f32`
3086×	`/-lowering-/.f64`
1478×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	109
1	159	92
2	1178	90
0	9118	90

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1752

Calls

Call 1

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

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

simplify324.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

4132×	`-lowering-.f32`
4132×	`-lowering-.f64`
2834×	`+-lowering-+.f64`
2834×	`+-lowering-+.f32`
1748×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	2992
1	954	2466
2	2757	2423
0	8267	2423

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

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

eval379.0ms (4.5%)

Compiler: Compiled 63551 to 5877 computations (90.8% saved)

prune346.0ms (4.1%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	2803	4	2807
Fresh	0	0	0
Picked	4	1	5
Done	0	5	5
Total	2807	10	2817

Accuracy

100.0%

Counts

2817 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.8%	(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x y))))) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
	47.5%	(/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) x))
	41.4%	(/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x x)))
	47.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) x))
✓	55.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	89.1%	(-.f64 x (.f64 (.f64 x x) y))
✓	99.9%	(-.f64 x (.f64 x (.f64 x y)))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
	47.5%	(neg.f64 (.f64 x (.f64 x y)))
✓	55.2%	x

Compiler

Compiled 410 to 136 computations (66.8% saved)

regimes23.0ms (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 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 (.f64 x x) y))
(/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) 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) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (.f64 (.f64 y (.f64 x (.f64 x y))) x)) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
(.f64 (.f64 y (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x y)))) (/.f64 x (+.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 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 x y)))) x)) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (.f64 x y))) x)) (+.f64 #s(literal 1 binary64) (*.f64 x y)))
(.f64 x (.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 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) x) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x (*.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))))))
(.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)))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x x) x)

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

regimes4.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
76.0%	3	`x`
76.3%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

2 calls:

2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
55.2%	1	`x`
55.2%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch21.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.6602377043061775e-46	2.578442868606939e-45
10.0ms	-2.9783084514307734e+37	-3.2042171851269263e+36

Results

12.0ms

192×

valid

Compiler

Compiled 170 to 118 computations (30.6% saved)

Precisions

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

ival-mult: 5.0ms (81.5% of total)

ival-sub: 1.0ms (16.3% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal -5500000000000000159526529262260584448 binary64)) (neg.f64 (*.f64 x (*.f64 x y))) (if (<=.f64 y #s(literal 4820814132776971/6427752177035961102167848369364650410088811975131171341205504 binary64)) x (neg.f64 (*.f64 x (*.f64 x y)))))

Outputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 y #s(literal -5500000000000000159526529262260584448 binary64)) (neg.f64 (.f64 x (.f64 x y))) (if (<=.f64 y #s(literal 4820814132776971/6427752177035961102167848369364650410088811975131171341205504 binary64)) x (neg.f64 (.f64 x (.f64 x y)))))
(if (<=.f64 y #s(literal -5500000000000000159526529262260584448 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) (if (<=.f64 y #s(literal 4820814132776971/6427752177035961102167848369364650410088811975131171341205504 binary64)) x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x y)))))
x

soundness1.7s (20.6%)

Rules

4134×	`-lowering-.f32`
4134×	`-lowering-.f64`
4006×	`-lowering-.f32`
4006×	`-lowering-.f64`
3910×	`/-lowering-/.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
0	246	3632
1	830	2654
2	2495	2573
0	8888	2573
0	34	368
1	114	274
2	240	274
3	652	274
4	3198	274
0	8461	274
0	25	190
1	181	119
2	1583	114
0	8192	114
0	24	109
1	159	92
2	1178	90
0	9118	90

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 60 to 34 computations (43.3% saved)

preprocess30.0ms (0.4%)

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

analyze0.0ms (0%)

sample704.0ms (8.4%)

preprocess93.0ms (1.1%)

explain73.0ms (0.9%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify54.0ms (0.6%)

localize46.0ms (0.5%)

series5.0ms (0.1%)

rewrite338.0ms (4%)

simplify203.0ms (2.4%)

eval49.0ms (0.6%)

prune39.0ms (0.5%)

simplify181.0ms (2.2%)

localize166.0ms (2%)

series48.0ms (0.6%)

rewrite618.0ms (7.4%)

simplify253.0ms (3%)

eval220.0ms (2.6%)

prune161.0ms (1.9%)

simplify194.0ms (2.3%)

localize170.0ms (2%)

series12.0ms (0.1%)

rewrite485.0ms (5.8%)

simplify282.0ms (3.4%)

eval339.0ms (4%)

prune182.0ms (2.2%)

simplify117.0ms (1.4%)

localize159.0ms (1.9%)

series17.0ms (0.2%)

rewrite315.0ms (3.8%)

simplify324.0ms (3.9%)

eval379.0ms (4.5%)

prune346.0ms (4.1%)

regimes23.0ms (0.3%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch21.0ms (0.2%)

simplify9.0ms (0.1%)

soundness1.7s (20.6%)

preprocess30.0ms (0.4%)

end0.0ms (0%)

Profiling