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

analyze29.0ms (0.7%)

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 (72.9% of total)

ival-div: 1.0ms (24.3% of total)

const: 0.0ms (0% of total)

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

sample1.0s (23.8%)

Results

834.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 244.0ms

ival-mult: 141.0ms (57.7% of total)

ival-div: 93.0ms (38.1% of total)

const: 7.0ms (2.9% of total)

backward-pass: 3.0ms (1.2% of total)

Bogosity

preprocess58.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	44	26
2	109	26
3	328	26
4	906	26
5	1952	26
6	2993	26
7	3379	26
8	3441	26
9	3545	26
10	3585	26
0	4	4
1	7	4
0	7	4

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))
(/ x (square y))
(/ (neg x) (* y y))
(/ x (neg (square y)))
(/ x (* (neg y) (neg y)))
(/ x (square y))
(neg (/ (neg x) (* y y)))
(/ x (square y))
(neg (/ x (* (neg y) (neg y))))
(/ x (neg (square y)))
(/ y (* x x))
(/ y (square x))

Symmetry

(abs y)

(negabs x)

explain61.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
26	-	3	(1.4546093918911641e-190 8.4234665431247e-159)	`(/.f64 x (*.f64 y y))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`y`

Results

45.0ms

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 (55.6% of total)

ival-div: 4.0ms (44.5% 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
▶	91.0%	(/.f64 x (*.f64 y y))

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify4.0ms (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×	`square-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	7	8
0	7	8

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

localize41.0ms (1%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	91.0%	(/.f64 x (*.f64 y y))

Results

36.0ms

256×

valid

Compiler

Compiled 13 to 5 computations (61.5% saved)

Precisions

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

ival-mult: 3.0ms (62.1% of total)

ival-div: 2.0ms (41.4% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

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
1.0ms	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)

rewrite188.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`/-lowering-/.f32`
1814×	`/-lowering-/.f64`
1454×	`-lowering-.f32`
1454×	`-lowering-.f64`
806×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	17	6
2	78	6
3	366	6
4	2170	6
0	9114	6

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 212

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

simplify8.0ms (0.2%)

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: 1 (0.0ms)

Iter	Nodes	Cost
0	5	156
1	6	120
2	9	120
0	9	120

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)

eval44.0ms (1%)

Compiler: Compiled 3050 to 463 computations (84.8% saved)

prune35.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	243	5	248
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	243	6	249

Accuracy

100.0%

Counts

249 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (/.f64 x y) y)
▶	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	91.0%	(/.f64 x (*.f64 y y))
▶	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
▶	96.0%	(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y)))
▶	90.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 95 to 62 computations (34.7% saved)

simplify9.0ms (0.2%)

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 (sqrt.f64 y))
✓	cost-diff	0	(pow.f64 y #s(literal -3/2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y)))
✓	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 x y)
✓	cost-diff	0	(/.f64 y (/.f64 x y))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓	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

88×	`-lowering-.f32`
88×	`-lowering-.f64`
44×	`/-lowering-/.f32`
44×	`/-lowering-/.f64`
32×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	34	67
2	50	67
3	91	67
4	110	67
5	128	67
0	128	67

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

localize116.0ms (2.7%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 y #s(literal -3/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 y)
✓	accuracy	99.6%	(/.f64 x (sqrt.f64 y))
✓	accuracy	96.0%	(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y)))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(/.f64 y (/.f64 x y))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	90.5%	(.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

92.0ms

256×

valid

Compiler

Compiled 85 to 19 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 16.0ms (41.7% of total)

ival-pow: 14.0ms (36.5% of total)

ival-mult: 5.0ms (13% of total)

ival-sqrt: 2.0ms (5.2% of total)

const: 1.0ms (2.6% of total)

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

series42.0ms (1%)

Counts

14 → 276

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

Calls

69 calls:

Time	Variable		Point	Expression
29.0ms	y	@	-inf	(pow y -3/2)
1.0ms	y	@	inf	(/ x y)
1.0ms	y	@	0	(pow y -3/2)
1.0ms	x	@	0	(/ x (sqrt y))
1.0ms	y	@	-inf	(/ x (sqrt y))

rewrite193.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1842×	`-lowering-.f32`
1842×	`-lowering-.f64`
1380×	`/-lowering-/.f32`
1380×	`/-lowering-/.f64`
768×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	47
1	90	46
2	446	46
3	2021	46
0	8231	46

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 1131

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #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 (.f64 y y) x) (/.f64 x (*.f64 y y)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (log.f64 y)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 (sqrt.f64 y) x)))))
(exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 (sqrt.f64 y) x))) (.f64 #s(literal -3/2 binary64) (log.f64 y))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (.f64 y y) x)) #s(literal -1/2 binary64)) (.f64 (log.f64 (/.f64 (.f64 y y) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x (*.f64 y y)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
(/.f64 y (.f64 y (/.f64 (.f64 y y) x)))
(/.f64 y (.f64 (.f64 y y) (/.f64 y x)))
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.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 y y) (.f64 (.f64 y y) (/.f64 (.f64 y y) 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 #s(literal 1 binary64) (.f64 y y)) (.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (/.f64 y x) (.f64 (/.f64 y x) (/.f64 (.f64 y y) x)))
(/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 (sqrt.f64 y) x))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.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))) (sqrt.f64 y))
(/.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 y (.f64 y y))) (.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (.f64 y y))))
(/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (*.f64 y (/.f64 (/.f64 x y) (/.f64 y x))))
(/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (*.f64 y (/.f64 x 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 x)) (.f64 (*.f64 y y) x))
(/.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 x (pow.f64 y #s(literal -3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y x)) (.f64 y (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (/.f64 #s(literal 1 binary64) y))) (/.f64 (.f64 y y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (/.f64 x (.f64 y y)))) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) x)) (.f64 (.f64 y y) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (/.f64 x y))) (.f64 y (.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) x))) (.f64 (.f64 y y) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (/.f64 (.f64 y y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (/.f64 x (.f64 y y)))) (.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (/.f64 x y))) (.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 y) x)) (.f64 y (pow.f64 y #s(literal -3/2 binary64)))) (*.f64 y (/.f64 (sqrt.f64 y) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (-.f64 #s(literal 0 binary64) x))) (.f64 y (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x (pow.f64 y #s(literal -3/2 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 y (/.f64 (.f64 x (pow.f64 y #s(literal -3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))))) (.f64 y (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y x) x)) (.f64 (/.f64 y x) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y x) (/.f64 x y))) (/.f64 (.f64 y y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y x) (/.f64 x (.f64 y y)))) (/.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (*.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 y) x)) (.f64 (/.f64 y x) (pow.f64 y #s(literal -3/2 binary64)))) (*.f64 (/.f64 y x) (/.f64 (sqrt.f64 y) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y x) (-.f64 #s(literal 0 binary64) x))) (.f64 (/.f64 y x) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 y x) (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y x) (.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 (.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))) (.f64 (/.f64 y x) (/.f64 (.f64 x (pow.f64 y #s(literal -3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))))) (.f64 (/.f64 y x) (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 y y)))) (/.f64 y x))
(/.f64 (neg.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 (neg.f64 (/.f64 (*.f64 x (pow.f64 y #s(literal -3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 x (.f64 y y)) (/.f64 x (.f64 y y))) (.f64 #s(literal 0 binary64) (/.f64 x (.f64 y y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x (.f64 y y)) (/.f64 x (.f64 y y)))) (/.f64 x (.f64 y y)))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 y y) x) (/.f64 x (.f64 y y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 y y) x)))
(pow.f64 (.f64 (/.f64 x (.f64 y y)) (/.f64 x (*.f64 y y))) #s(literal 1/2 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) (.f64 y y)) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 (.f64 x (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y)))
(.f64 #s(literal -1 binary64) (/.f64 x (.f64 y y)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 x (pow.f64 y #s(literal -3/2 binary64))))
(.f64 (pow.f64 y #s(literal -3/4 binary64)) (.f64 x (pow.f64 y #s(literal -5/4 binary64))))
(.f64 (.f64 x (pow.f64 y #s(literal -3/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))
(.f64 (pow.f64 y #s(literal -3/8 binary64)) (.f64 (pow.f64 y #s(literal -3/8 binary64)) (*.f64 x (pow.f64 y #s(literal -5/4 binary64)))))
(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
(.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64))
(.f64 (/.f64 x (.f64 y y)) #s(literal -1 binary64))
(.f64 (.f64 x (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -5/4 binary64)))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -7/4 binary64)))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -7/4 binary64))))
(*.f64 (pow.f64 y #s(literal -7/4 binary64)) (/.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal -7/4 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64)))))
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(*.f64 (neg.f64 (pow.f64 y #s(literal -7/4 binary64))) (/.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -3/2 binary64))) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y))))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) (log.f64 y)))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -3/2 binary64)))
(neg.f64 (pow.f64 y #s(literal -3/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -3/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 y))
(/.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 (exp.f64 #s(literal -3/2 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) y)
(/.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 y (pow.f64 y #s(literal 1/4 binary64))))
(pow.f64 y #s(literal -3/2 binary64))
(pow.f64 (*.f64 y y) #s(literal -3/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -3 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal -3/8 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal -3/8 binary64))
(pow.f64 (exp.f64 #s(literal -3/2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 y (.f64 y y)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (pow.f64 y #s(literal -3/4 binary64)))
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -3/4 binary64))))
(*.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 y #s(literal -9/8 binary64)))
(*.f64 (pow.f64 y #s(literal -3/8 binary64)) (neg.f64 (pow.f64 y #s(literal -9/8 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -3/4 binary64)))
(*.f64 (pow.f64 y #s(literal -9/8 binary64)) (pow.f64 y #s(literal -3/8 binary64)))
(*.f64 (pow.f64 y #s(literal -9/8 binary64)) (neg.f64 (pow.f64 y #s(literal -3/8 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -3/2 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -3/2 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 y #s(literal -9/8 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -9/8 binary64))) (pow.f64 y #s(literal -3/8 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x (sqrt.f64 y)))
(+.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) (/.f64 x (sqrt.f64 y)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (sqrt.f64 y) x))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 x (sqrt.f64 y)))
(neg.f64 (/.f64 x (sqrt.f64 y)))
(/.f64 x (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 x (pow.f64 y #s(literal 1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 y) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 y))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(/.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1 binary64))
(/.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 1/4 binary64)) x))
(/.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (sqrt.f64 y) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (sqrt.f64 y) x))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64)))) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) x)) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) (-.f64 #s(literal 0 binary64) x))) y)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))) (.f64 (sqrt.f64 y) (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64)))))) (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 y) x)) (sqrt.f64 y)) (/.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (sqrt.f64 y) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))) (.f64 (sqrt.f64 y) (/.f64 x (pow.f64 y #s(literal 1/4 binary64))))) (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) (.f64 #s(literal 0 binary64) (/.f64 x (sqrt.f64 y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))) (/.f64 x (sqrt.f64 y)))
(pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) x)) #s(literal -1/2 binary64))
(*.f64 x (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1 binary64))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64)))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (/.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64)))) (/.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64)) (.f64 (log.f64 y) #s(literal 1/4 binary64))))
(fabs.f64 (sqrt.f64 y))
(-.f64 #s(literal 0 binary64) (sqrt.f64 y))
(sqrt.f64 y)
(neg.f64 (sqrt.f64 y))
(/.f64 y (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y y) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 y) #s(literal 1 binary64))
(/.f64 (sqrt.f64 y) #s(literal -1 binary64))
(/.f64 (sqrt.f64 y) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(/.f64 (sqrt.f64 y) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) y)
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 y #s(literal 0 binary64))))
(/.f64 (.f64 y (.f64 y y)) (.f64 (sqrt.f64 y) (.f64 y y)))
(/.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 (.f64 y (.f64 y y))) y)
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y))
(*.f64 y (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) #s(literal -1 binary64))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64)))) (pow.f64 y #s(literal 1/4 binary64)))

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

232×	`fma-define`
208×	`fma-lowering-fma.f32`
208×	`fma-lowering-fma.f64`
192×	`fnmadd-define`
158×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	1176
1	45	1008
2	91	1008
3	147	1008
4	311	1008
5	474	1008
6	783	1008
7	940	1008
8	960	1008
9	968	1008
0	968	1008

Stop Event

1×	iter limit
1×	saturated

Counts

276 → 276

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

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

eval255.0ms (6%)

Compiler: Compiled 17299 to 1943 computations (88.8% saved)

prune188.0ms (4.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1492	1	1493
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	1492	7	1499

Accuracy

100.0%

Counts

1499 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.6%	(/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (*.f64 y (/.f64 x y)))
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	91.0%	(/.f64 x (*.f64 y y))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓	96.0%	(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y)))
✓	90.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 66 to 40 computations (39.4% saved)

simplify423.0ms (10%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(/.f64 (/.f64 x y) (/.f64 y x))
✓	cost-diff	256	(*.f64 y (/.f64 x y))
✓	cost-diff	512	(/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (*.f64 y (/.f64 x y)))

Rules

6960×	`-lowering-.f32`
6960×	`-lowering-.f64`
3626×	`/-lowering-/.f32`
3626×	`/-lowering-/.f64`
3250×	`cube-div`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	29
1	18	29
2	62	27
3	179	19
4	479	17
5	1262	17
6	1560	17
7	2291	17
8	3777	17
9	4472	17
10	4981	17
11	5325	17
12	5720	17
13	6142	17
14	6376	17
15	6466	17
16	6480	17
17	6502	17
18	6522	17
19	6739	17
20	7097	17
21	7555	17
0	8013	17

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize42.0ms (1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.7%	(/.f64 (/.f64 x y) (/.f64 y x))
✓	accuracy	91.3%	(/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (*.f64 y (/.f64 x y)))
✓	accuracy	74.5%	(*.f64 y (/.f64 x y))

Results

31.0ms

256×

valid

Compiler

Compiled 36 to 8 computations (77.8% saved)

Precisions

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

ival-div: 7.0ms (77.5% of total)

ival-mult: 2.0ms (22.1% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

4 → 96

Calls

Call 1

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

Calls

24 calls:

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

rewrite228.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3542×	`/-lowering-/.f32`
3542×	`/-lowering-/.f64`
2912×	`-lowering-.f32`
2912×	`-lowering-.f64`
1902×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	42	22
2	413	12
3	4091	12
0	8522	12

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 551

Calls

Call 1

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

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

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
12×	`/-lowering-/.f32`
12×	`/-lowering-/.f64`
6×	`square-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	384
1	10	312
2	17	288
3	23	288
4	23	288
0	23	288

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

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

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

eval90.0ms (2.1%)

Compiler: Compiled 14417 to 1744 computations (87.9% saved)

prune85.0ms (2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	781	2	783
Fresh	0	0	0
Picked	1	0	1
Done	1	5	6
Total	783	7	790

Accuracy

100.0%

Counts

790 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.2%	(/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) x)
▶	74.4%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 x x))) y)
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	91.0%	(/.f64 x (*.f64 y y))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓	90.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 65 to 40 computations (38.5% saved)

simplify273.0ms (6.5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

7416×	`-lowering-.f32`
7416×	`-lowering-.f64`
2890×	`swap-sqr`
2868×	`cube-prod`
1996×	`associate-/r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	29	55
2	76	49
3	178	34
4	290	34
5	1101	34
6	2008	34
7	2507	34
8	2732	34
9	2982	34
10	3301	34
11	3706	34
12	4211	34
13	5514	34
14	5679	34
15	5878	34
16	5960	34
17	6026	34
18	6720	34
0	8313	34

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize59.0ms (1.4%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.7%	(/.f64 (/.f64 x y) (/.f64 y x))
✓	accuracy	91.3%	(/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 x x))) y)
✓	accuracy	89.5%	(/.f64 y (*.f64 x x))
✓	accuracy	79.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 x x)))

Results

46.0ms

256×

valid

Compiler

Compiled 61 to 13 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 13.0ms (82% of total)

ival-mult: 2.0ms (12.6% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

9 → 192

Calls

Call 1

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

Calls

48 calls:

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

rewrite143.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`-lowering-.f32`
1632×	`-lowering-.f64`
1256×	`/-lowering-/.f32`
1256×	`/-lowering-/.f64`
952×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	76	39
2	613	29
0	3565	29

Stop Event

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

Counts

9 → 676

Calls

Call 1

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

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

simplify22.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

20×	`/-lowering-/.f32`
20×	`/-lowering-/.f64`
14×	`-lowering-.f32`
14×	`-lowering-.f64`
6×	`square-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	804
1	17	672
2	25	648
3	31	648
4	31	648
0	31	648

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

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

eval134.0ms (3.2%)

Compiler: Compiled 10546 to 1295 computations (87.7% saved)

prune71.0ms (1.7%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	867	1	868
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	868	7	875

Accuracy

100.0%

Counts

875 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.1%	(/.f64 (/.f64 (/.f64 (*.f64 x x) y) y) x)
✓	91.2%	(/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) x)
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	91.0%	(/.f64 x (*.f64 y y))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓	90.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 146 to 69 computations (52.7% saved)

regimes13.0ms (0.3%)

Counts

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

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

Calls

4 calls:

3.0ms	x
3.0ms	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)

regimes7.0ms (0.2%)

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:

3.0ms	(*.f64 y y)
1.0ms	x
1.0ms	y
1.0ms	(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
91.0%	1	`x`
91.0%	1	`y`
91.0%	1	`(/.f64 x (*.f64 y y))`
91.0%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify6.0ms (0.1%)

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))

soundness214.0ms (5.1%)

Rules

1814×	`/-lowering-/.f32`
1814×	`/-lowering-/.f64`
1454×	`-lowering-.f32`
1454×	`-lowering-.f64`
806×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	17	6
2	78	6
3	366	6
4	2170	6
0	9114	6

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 19 to 10 computations (47.4% saved)

preprocess46.0ms (1.1%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 108 to 60 computations (44.4% saved)

analyze29.0ms (0.7%)

sample1.0s (23.8%)

preprocess58.0ms (1.4%)

explain61.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize41.0ms (1%)

series4.0ms (0.1%)

rewrite188.0ms (4.5%)

simplify8.0ms (0.2%)

eval44.0ms (1%)

prune35.0ms (0.8%)

simplify9.0ms (0.2%)

localize116.0ms (2.7%)

series42.0ms (1%)

rewrite193.0ms (4.6%)

simplify69.0ms (1.6%)

eval255.0ms (6%)

prune188.0ms (4.5%)

simplify423.0ms (10%)

localize42.0ms (1%)

series3.0ms (0.1%)

rewrite228.0ms (5.4%)

simplify13.0ms (0.3%)

eval90.0ms (2.1%)

prune85.0ms (2%)

simplify273.0ms (6.5%)

localize59.0ms (1.4%)

series4.0ms (0.1%)

rewrite143.0ms (3.4%)

simplify22.0ms (0.5%)

eval134.0ms (3.2%)

prune71.0ms (1.7%)

regimes13.0ms (0.3%)

regimes7.0ms (0.2%)

simplify6.0ms (0.1%)

soundness214.0ms (5.1%)

preprocess46.0ms (1.1%)

end0.0ms (0%)

Profiling