Metrics for Physics.ForceLayout:coulombForce from force-layout-0.4.0.2

analyze14.0ms (0.4%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (76.6% of total)

ival-div: 1.0ms (25.5% of total)

const: 0.0ms (0% of total)

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

sample649.0ms (20.5%)

Results

483.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-mult: 121.0ms (60.7% of total)

ival-div: 68.0ms (34.1% of total)

const: 7.0ms (3.5% of total)

backward-pass: 3.0ms (1.5% of total)

Bogosity

preprocess54.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

1050×	`fnmadd-define`
998×	`fma-define`
892×	`times-frac`
688×	`sum3-define`
466×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	41	32
2	106	32
3	325	32
4	901	32
5	1950	32
6	2989	32
7	3375	32
8	3437	32
9	3541	32
10	3581	32
0	4	5
1	6	5
0	6	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ x (* y y))

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

Call 2

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

Outputs
(/ x (* y y))
(/ (neg x) (* y y))
(/ x (* y (neg y)))
(/ x (* (neg y) (neg y)))
(/ x (* y y))
(neg (/ (neg x) (* y y)))
(/ x (* y y))
(neg (/ x (* (neg y) (neg y))))
(/ x (* y (neg y)))
(/ y (* x x))

Symmetry

(abs y)

(negabs x)

explain71.0ms (2.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
37	-	1	(2.6901489999258056e-244 3.6679937174706195e-162)	`(/.f64 x (*.f64 y y))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`y`

Results

24.0ms

512×

valid

Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (54.7% of total)

ival-div: 4.0ms (43.8% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.9%	(/.f64 x (*.f64 y y))

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 x (*.f64 y y))

Rules

6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`
2×	`-lowering-.f32`
2×	`-lowering-.f64`
2×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	6	10
0	6	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ x (* y y))
x
(* y y)
y

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

localize30.0ms (0.9%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	86.9%	(/.f64 x (*.f64 y y))

Results

25.0ms

256×

valid

Compiler

Compiled 13 to 5 computations (61.5% saved)

Precisions

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

ival-div: 2.0ms (43.4% of total)

ival-mult: 2.0ms (43.4% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Counts

2 → 36

Calls

Call 1

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

Outputs
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>

Calls

9 calls:

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

rewrite155.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`/-lowering-/.f32`
1814×	`/-lowering-/.f64`
1614×	`-lowering-.f32`
1614×	`-lowering-.f64`
806×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	16	8
2	77	8
3	366	8
4	2160	8
0	9223	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 216

Calls

Call 1

Inputs
(/ x (* y y))
(* y y)

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

simplify24.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`
2×	`pow-lowering-pow.f64`
2×	`pow-lowering-pow.f32`
2×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	156
1	6	156
2	8	156
0	8	156

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)

Outputs
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

eval25.0ms (0.8%)

Compiler: Compiled 3101 to 475 computations (84.7% saved)

prune32.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	243	9	252
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	243	10	253

Accuracy

100.0%

Counts

253 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))
▶	99.5%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
▶	99.8%	(/.f64 (/.f64 x y) y)
▶	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
	61.3%	(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
▶	86.5%	(/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
✓	86.9%	(/.f64 x (*.f64 y y))
	99.6%	(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
▶	86.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 177 to 114 computations (35.6% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(/.f64 (/.f64 x y) (sqrt.f64 y))
✓	cost-diff	12928	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	cost-diff	0	(sqrt.f64 y)
✓	cost-diff	12736	(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
✓	cost-diff	12736	(/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(/.f64 (/.f64 x y) y)

Rules

124×	`-lowering-.f32`
124×	`-lowering-.f64`
106×	`associate-r`
84×	`/-lowering-/.f32`
84×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
1	32	69
2	50	69
3	122	69
4	244	69
5	324	69
6	325	69
7	326	69
0	326	69

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (/ x y) y)
(/ x y)
x
y
(* (/ 1 (* y y)) x)
(/ 1 (* y y))
1
(* y y)
y
x
(/ (/ 1 y) (/ y x))
(/ 1 y)
1
y
(/ y x)
x
(/ x (pow (sqrt y) 4))
x
(pow (sqrt y) 4)
(sqrt y)
y
4
(/ (/ (/ x y) (sqrt y)) (sqrt y))
(/ (/ x y) (sqrt y))
(/ x y)
x
y
(sqrt y)

Outputs
(/ (/ x y) y)
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
x
y
(* (/ 1 (* y y)) x)
(/.f64 x (*.f64 y y))
(/ 1 (* y y))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
1
#s(literal 1 binary64)
(* y y)
(*.f64 y y)
y
x
(/ (/ 1 y) (/ y x))
(/.f64 x (*.f64 y y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ y x)
(/.f64 y x)
x
(/ x (pow (sqrt y) 4))
(/.f64 x (*.f64 y y))
x
(pow (sqrt y) 4)
(*.f64 y y)
(sqrt y)
(sqrt.f64 y)
y
4
#s(literal 4 binary64)
(/ (/ (/ x y) (sqrt y)) (sqrt y))
(/.f64 x (*.f64 y y))
(/ (/ x y) (sqrt y))
(/.f64 x (*.f64 y (sqrt.f64 y)))
(/ x y)
(/.f64 x y)
x
y
(sqrt y)
(sqrt.f64 y)

localize85.0ms (2.7%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(sqrt.f64 y)
✓	accuracy	99.7%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	accuracy	99.6%	(/.f64 (/.f64 x y) (sqrt.f64 y))
✓	accuracy	100.0%	(sqrt.f64 y)
✓	accuracy	99.2%	(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
✓	accuracy	86.9%	(/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	86.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(/.f64 (/.f64 x y) y)

Results

62.0ms

256×

valid

Compiler

Compiled 84 to 18 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 15.0ms (58.8% of total)

ival-mult: 4.0ms (15.7% of total)

ival-pow: 4.0ms (15.7% of total)

ival-sqrt: 2.0ms (7.8% of total)

const: 1.0ms (3.9% of total)

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

series17.0ms (0.5%)

Counts

13 → 252

Calls

Call 1

Inputs
#<alt (/ (/ x y) y)>
#<alt (/ x y)>
#<alt (* (/ 1 (* y y)) x)>
#<alt (/ 1 (* y y))>
#<alt (* y y)>
#<alt (/ (/ 1 y) (/ y x))>
#<alt (/ 1 y)>
#<alt (/ y x)>
#<alt (/ x (pow (sqrt y) 4))>
#<alt (pow (sqrt y) 4)>
#<alt (sqrt y)>
#<alt (/ (/ (/ x y) (sqrt y)) (sqrt y))>
#<alt (/ (/ x y) (sqrt y))>

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

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(pow (sqrt y) 4)
1.0ms	x	@	0	(/ (/ x y) (sqrt y))
1.0ms	y	@	-inf	(/ x (pow (sqrt y) 4))
1.0ms	y	@	inf	(/ x y)
1.0ms	y	@	-inf	(/ (/ (/ x y) (sqrt y)) (sqrt y))

rewrite238.0ms (7.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1804×	`/-lowering-/.f32`
1804×	`/-lowering-/.f64`
1764×	`-lowering-.f32`
1764×	`-lowering-.f64`
1116×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	51
1	89	49
2	497	49
3	2512	49
0	8902	49

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1603

Calls

Call 1

Inputs
(/ (/ x y) y)
(/ x y)
(* (/ 1 (* y y)) x)
(/ 1 (* y y))
(* y y)
(/ (/ 1 y) (/ y x))
(/ 1 y)
(/ y x)
(/ x (pow (sqrt y) 4))
(pow (sqrt y) 4)
(sqrt y)
(/ (/ (/ x y) (sqrt y)) (sqrt y))
(/ (/ x y) (sqrt y))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 y (/.f64 y x))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 x y)) (log.f64 (/.f64 #s(literal 1 binary64) y))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (log.f64 (/.f64 x y))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) #s(literal -1 binary64)) (.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) #s(literal -1 binary64)) (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 y)))))
(exp.f64 (+.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)) (.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal -1 binary64)) (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 y))) (.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 (/.f64 x y)) (log.f64 y)))
(exp.f64 (-.f64 (.f64 (log.f64 y) #s(literal -2 binary64)) (.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (log.f64 (/.f64 y x))))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 y))))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 x (.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 x (*.f64 y y)))
(-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 x (.f64 y y)))
(-.f64 (.f64 #s(literal 0 binary64) x) (/.f64 x (.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (pow.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))) (/.f64 x (.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 y)) (sqrt.f64 y)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1 binary64)) (/.f64 x (.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) y) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) x)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 1 binary64)) (/.f64 x (*.f64 y y)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))))
(/.f64 x (neg.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y x)))
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))))
(/.f64 (/.f64 x y) y)
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(/.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 (sqrt.f64 y) x))
(/.f64 (pow.f64 y #s(literal -3/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 y) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal -1/2 binary64))))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) x)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (*.f64 y y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))) y)
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))) y)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) x))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (*.f64 y y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 x y))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64)))) (.f64 y (/.f64 y x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (.f64 x (pow.f64 y #s(literal -1/2 binary64))))) (.f64 y y))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (/.f64 (sqrt.f64 y) x))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (neg.f64 (/.f64 (sqrt.f64 y) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 x (.f64 y y)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal -1/2 binary64)))))) (*.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))))
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(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) y))) (.f64 (sqrt.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sqrt.f64 y) x))) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) y))) (/.f64 y x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) (.f64 (sqrt.f64 y) (-.f64 #s(literal 0 binary64) x))) (*.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) (.f64 (sqrt.f64 y) (/.f64 x y))) y)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y x)) (.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (sqrt.f64 y) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal -3/2 binary64)))) (/.f64 (sqrt.f64 y) x))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (sqrt.f64 y) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y x)) (.f64 (sqrt.f64 y) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (sqrt.f64 y) (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal -1/2 binary64)))))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (sqrt.f64 y) (.f64 (.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (sqrt.f64 y) (neg.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal -1/2 binary64))))))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))) (.f64 (sqrt.f64 y) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))))) (pow.f64 y #s(literal 3/4 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) x)) (*.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 x y))) y)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sqrt.f64 y) x))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (neg.f64 (/.f64 (sqrt.f64 y) x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) x))) (*.f64 y y))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 x y))) y)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal -1/2 binary64)))))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (neg.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal -1/2 binary64))))))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (sqrt.f64 y) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) (.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) (.f64 y (.f64 y y)))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 x y))) (.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))) (.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))))) (pow.f64 y #s(literal 7/4 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))))) (.f64 (pow.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))))) (.f64 (pow.f64 y #s(literal 3/2 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (.f64 (pow.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -3/2 binary64)))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal -1/2 binary64)))))) y)
(/.f64 (neg.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))) y)
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (+.f64 (.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64)))) (+.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 y)) #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (+.f64 (.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 #s(literal 0 binary64) (sqrt.f64 y))) (+.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))))))
(pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) #s(literal -1/2 binary64))
(*.f64 x (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))))
(*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 x y) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y))
(.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x y))
(.f64 (.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (neg.f64 (.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -5/4 binary64)))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (pow.f64 y #s(literal -5/4 binary64)) (/.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal -5/4 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -5/4 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1/2 binary64)))

simplify173.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1962×	`fma-define`
1934×	`fnmadd-define`
1326×	`-lowering-.f32`
1326×	`-lowering-.f64`
1280×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	1080
1	51	1080
2	130	1080
3	313	1080
4	1003	1080
5	2847	1080
6	4108	1080
7	6705	1080
8	7447	1080
9	7884	1080
0	8008	1080

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval259.0ms (8.2%)

Compiler: Compiled 30044 to 2473 computations (91.8% saved)

prune327.0ms (10.4%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	2076	1	2077
Fresh	2	2	4
Picked	0	5	5
Done	0	1	1
Total	2078	9	2087

Accuracy

100.0%

Counts

2087 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
▶	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
▶	61.3%	(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
✓	86.5%	(/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
✓	86.9%	(/.f64 x (*.f64 y y))
▶	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	86.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 82 to 51 computations (37.8% saved)

simplify359.0ms (11.4%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

6522×	`-lowering-.f32`
6522×	`-lowering-.f64`
2728×	`cube-prod`
2674×	`/-lowering-/.f32`
2674×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	39	46
2	87	46
3	200	46
4	502	46
5	1291	46
6	1428	46
7	1568	46
8	1713	46
9	1922	46
10	2183	46
11	3954	46
12	4996	46
13	5464	46
14	5762	46
15	5985	46
16	6211	46
17	6437	46
0	8688	46

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize55.0ms (1.7%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	88.1%	(.f64 (.f64 y y) x)
✓	accuracy	62.7%	(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))

Results

39.0ms

256×

valid

Compiler

Compiled 64 to 14 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 9.0ms (48.9% of total)

ival-mult: 9.0ms (48.9% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

10 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite117.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1190×	`-lowering-.f32`
1190×	`-lowering-.f64`
1092×	`frac-times`
972×	`/-lowering-/.f32`
972×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	75	36
2	428	36
0	2771	36

Stop Event

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

Counts

10 → 538

Calls

Call 1

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

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

simplify22.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	744
1	19	744
2	24	744
3	25	744
0	25	744

Stop Event

1×	iter limit
1×	saturated

Counts

192 → 192

Calls

Call 1

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

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

eval71.0ms (2.2%)

Compiler: Compiled 7854 to 710 computations (91% saved)

prune56.0ms (1.8%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	768	0	768
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	768	9	777

Accuracy

100.0%

Counts

777 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	61.3%	(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
✓	86.5%	(/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
✓	86.9%	(/.f64 x (*.f64 y y))
✓	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	86.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 165 to 84 computations (49.1% saved)

regimes14.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

Inputs
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
(pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) (sqrt.f64 y)))

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

Calls

4 calls:

4.0ms	x
4.0ms	y
3.0ms	(*.f64 y y)
3.0ms	(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(/.f64 x (*.f64 y y))`
99.8%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes35.0ms (1.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	(*.f64 y y)
1.0ms	y
1.0ms	x
1.0ms	(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
86.9%	1	`x`
86.9%	1	`y`
86.9%	1	`(/.f64 x (*.f64 y y))`
86.9%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness204.0ms (6.5%)

Rules

1814×	`/-lowering-/.f32`
1814×	`/-lowering-/.f64`
1614×	`-lowering-.f32`
1614×	`-lowering-.f64`
806×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	16	8
2	77	8
3	366	8
4	2160	8
0	9223	8

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 19 to 10 computations (47.4% saved)

preprocess39.0ms (1.2%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 108 to 60 computations (44.4% saved)

Physics.ForceLayout:coulombForce from force-layout-0.4.0.2

analyze14.0ms (0.4%)

sample649.0ms (20.5%)

preprocess54.0ms (1.7%)

explain71.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize30.0ms (0.9%)

series5.0ms (0.2%)

rewrite155.0ms (4.9%)

simplify24.0ms (0.8%)

eval25.0ms (0.8%)

prune32.0ms (1%)

simplify11.0ms (0.4%)

localize85.0ms (2.7%)

series17.0ms (0.5%)

rewrite238.0ms (7.5%)

simplify173.0ms (5.5%)

eval259.0ms (8.2%)

prune327.0ms (10.4%)

simplify359.0ms (11.4%)

localize55.0ms (1.7%)

series4.0ms (0.1%)

rewrite117.0ms (3.7%)

simplify22.0ms (0.7%)

eval71.0ms (2.2%)

prune56.0ms (1.8%)

regimes14.0ms (0.4%)

regimes35.0ms (1.1%)

simplify7.0ms (0.2%)

soundness204.0ms (6.5%)

preprocess39.0ms (1.2%)

end0.0ms (0%)

Profiling