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

analyze17.0ms (0.1%)

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 (72.8% of total)

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

const: 0.0ms (0% of total)

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

sample719.0ms (5.9%)

Results

523.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-mult: 92.0ms (50.9% of total)

ival-div: 77.0ms (42.6% of total)

const: 9.0ms (5% of total)

backward-pass: 3.0ms (1.7% of total)

Bogosity

preprocess54.0ms (0.4%)

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)

explain56.0ms (0.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
34	-	1	(2.578773326857505e-49 1.6593171455312226e-161)	`(/.f64 x (*.f64 y y))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`y`

Results

38.0ms

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 (53.4% of total)

ival-div: 4.0ms (42.7% of total)

const: 1.0ms (10.7% 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
▶	87.8%	(/.f64 x (*.f64 y y))

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify4.0ms (0%)

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

localize24.0ms (0.2%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	87.8%	(/.f64 x (*.f64 y y))

Results

19.0ms

256×

valid

Compiler

Compiled 13 to 5 computations (61.5% saved)

Precisions

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

ival-mult: 4.0ms (60.2% of total)

ival-div: 2.0ms (30.1% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0%)

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)

rewrite202.0ms (1.7%)

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))))

simplify9.0ms (0.1%)

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)

eval23.0ms (0.2%)

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

prune33.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	242	6	248
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	242	7	249

Accuracy

100.0%

Counts

249 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (/.f64 x y) y)
▶	87.6%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
▶	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	87.8%	(/.f64 x (*.f64 y y))
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
▶	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
	41.3%	(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 x x))))

Compiler

Compiled 131 to 80 computations (38.9% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

80×	`times-frac`
68×	`/-lowering-/.f32`
68×	`/-lowering-/.f64`
68×	`-lowering-.f32`
68×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	35	61
2	61	61
3	107	61
4	181	61
5	198	61
6	201	61
7	203	61
0	203	61

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize123.0ms (1%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	88.0%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
✓	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	99.6%	(/.f64 y (/.f64 x y))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(/.f64 (/.f64 x y) y)

Results

102.0ms

256×

valid

Compiler

Compiled 86 to 16 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 18.0ms (80.1% of total)

ival-mult: 3.0ms (13.3% of total)

const: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Counts

12 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(/ 1 y)
4.0ms	x	@	0	(/ 1 (/ y (/ x y)))
1.0ms	y	@	inf	(/ x y)
0.0ms	x	@	inf	(/ x y)
0.0ms	y	@	-inf	(/ y x)

rewrite236.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

2338×	`-lowering-.f32`
2338×	`-lowering-.f64`
1548×	`/-lowering-/.f32`
1548×	`/-lowering-/.f64`
1210×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	86	39
2	454	39
3	1926	39
0	8983	39

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1266

Calls

Call 1

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

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

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`/-lowering-/.f32`
18×	`/-lowering-/.f64`
6×	`-lowering-.f32`
6×	`-lowering-.f64`
6×	`add-recip`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	996
1	18	828
2	22	828
3	23	828
0	23	828

Stop Event

1×	iter limit
1×	saturated

Counts

240 → 240

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

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

eval226.0ms (1.9%)

Compiler: Compiled 22971 to 2088 computations (90.9% saved)

prune325.0ms (2.7%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1787	3	1790
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	1789	8	1797

Accuracy

100.0%

Counts

1797 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y)
✓	99.8%	(/.f64 (/.f64 x y) y)
▶	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	87.8%	(/.f64 x (*.f64 y y))
✓	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
▶	93.7%	(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 74 to 49 computations (33.8% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y)
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 y x))
✓	cost-diff	0	(pow.f64 y #s(literal -3/2 binary64))
✓	cost-diff	0	(pow.f64 y #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	128	(/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) x))

Rules

116×	`-lowering-.f32`
116×	`-lowering-.f64`
68×	`/-lowering-/.f32`
68×	`/-lowering-/.f64`
46×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	62
1	35	60
2	74	54
3	124	54
4	197	54
5	224	54
0	224	54

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize91.0ms (0.8%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y)
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 y x))
✓	accuracy	100.0%	(pow.f64 y #s(literal -3/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	88.4%	(/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) x))

Results

70.0ms

256×

valid

Compiler

Compiled 78 to 17 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 14.0ms (49.7% of total)

ival-pow: 12.0ms (42.6% of total)

ival-mult: 2.0ms (7.1% of total)

const: 1.0ms (3.5% of total)

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

series12.0ms (0.1%)

Counts

11 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(pow y -3/2)
2.0ms	y	@	-inf	(/ (pow y -3/2) (/ 1 x))
1.0ms	x	@	0	(/ (pow y -3/2) (/ 1 x))
1.0ms	y	@	0	(/ (pow y -3/2) (/ 1 x))
1.0ms	y	@	-inf	(* (pow y -1/2) (/ (pow y -3/2) (/ 1 x)))

rewrite237.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

2988×	`-lowering-.f32`
2988×	`-lowering-.f64`
1720×	`/-lowering-/.f32`
1720×	`/-lowering-/.f64`
1396×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	57
1	94	39
2	509	36
3	2629	36
0	8368	36

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1076

Calls

Call 1

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

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

simplify168.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1862×	`fma-lowering-fma.f32`
1862×	`fma-lowering-fma.f64`
1632×	`fmsub-define`
1626×	`fnmsub-define`
1496×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	928
1	52	832
2	116	824
3	246	824
4	769	824
5	1593	824
6	2864	824
7	5072	824
8	6742	824
0	8290	824

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval138.0ms (1.1%)

Compiler: Compiled 17820 to 2023 computations (88.6% saved)

prune90.0ms (0.7%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	1330	1	1331
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	1331	8	1339

Accuracy

100.0%

Counts

1339 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y)
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	87.8%	(/.f64 x (*.f64 y y))
✓	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
▶	93.8%	(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -3/2 binary64)) x))
✓	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 72 to 47 computations (34.7% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(pow.f64 y #s(literal -3/2 binary64))
✓	cost-diff	(*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)
✓	cost-diff	(pow.f64 y #s(literal -1/2 binary64))
✓	cost-diff	(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -3/2 binary64)) x))

Rules

24×	`-lowering-.f32`
24×	`-lowering-.f64`
10×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	12	24
2	19	24
3	21	24
0	21	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize45.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(pow.f64 y #s(literal -3/2 binary64))
✓	accuracy	99.7%	(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -3/2 binary64)) x))
✓	accuracy	88.5%	(*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)

Results

33.0ms

256×

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

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

ival-pow: 11.0ms (71.7% of total)

ival-mult: 3.0ms (19.6% of total)

const: 1.0ms (6.5% of total)

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

series1.0ms (0%)

Counts

4 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* (pow y -1/2) (* (pow y -3/2) x))
0.0ms	y	@	-inf	(* (pow y -1/2) (* (pow y -3/2) x))
0.0ms	x	@	-inf	(* (pow y -1/2) (* (pow y -3/2) x))
0.0ms	y	@	inf	(* (pow y -1/2) (* (pow y -3/2) x))
0.0ms	x	@	inf	(* (pow y -1/2) (* (pow y -3/2) x))

rewrite40.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1900×	`prod-exp`
888×	`prod-diff`
418×	`fma-define`
394×	`associate-r`
346×	`unpow-prod-down`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	26	16
2	80	16
3	287	16
4	1401	8
0	10556	8

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 16

Calls

Call 1

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

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

simplify179.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1816×	`fma-define`
1720×	`fnmadd-define`
1272×	`fma-lowering-fma.f32`
1272×	`fma-lowering-fma.f64`
1016×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	424
1	48	376
2	113	368
3	243	368
4	714	368
5	1420	368
6	2509	368
7	4797	368
8	5717	368
9	6563	368
10	7144	368
11	7164	368
12	7164	368
13	7164	368
14	7164	368
0	7164	368

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

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

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

eval25.0ms (0.2%)

Compiler: Compiled 862 to 39 computations (95.5% saved)

prune43.0ms (0.4%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	87	9	96

Accuracy

100.0%

Counts

96 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y)
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	87.8%	(/.f64 x (*.f64 y y))
	4.8%	(/.f64 x #s(literal 1 binary64))
✓	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓	93.8%	(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -3/2 binary64)) x))
✓	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 173 to 85 computations (50.9% saved)

regimes16.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	x
4.0ms	y
4.0ms	(*.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)

regimes9.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
2.0ms	x
1.0ms	(*.f64 y y)
1.0ms	(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
87.8%	1	`x`
87.8%	1	`y`
87.8%	1	`(/.f64 x (*.f64 y y))`
87.8%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
4.8%	1	`x`
4.8%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp_binary64`
2×	`1-exp_binary32`
2×	`/-rgt-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness8.8s (72.9%)

Rules

2988×	`-lowering-.f32`
2988×	`-lowering-.f64`
2338×	`-lowering-.f32`
2338×	`-lowering-.f64`
1900×	`prod-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	86	39
2	454	39
3	1926	39
0	8983	39
0	8	24
1	26	16
2	80	16
3	287	16
4	1401	8
0	10556	8
0	16	57
1	94	39
2	509	36
3	2629	36
0	8368	36
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
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 40 to 24 computations (40% saved)

preprocess45.0ms (0.4%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 138 to 76 computations (44.9% saved)

analyze17.0ms (0.1%)

sample719.0ms (5.9%)

preprocess54.0ms (0.4%)

explain56.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize24.0ms (0.2%)

series4.0ms (0%)

rewrite202.0ms (1.7%)

simplify9.0ms (0.1%)

eval23.0ms (0.2%)

prune33.0ms (0.3%)

simplify12.0ms (0.1%)

localize123.0ms (1%)

series18.0ms (0.2%)

rewrite236.0ms (2%)

simplify29.0ms (0.2%)

eval226.0ms (1.9%)

prune325.0ms (2.7%)

simplify9.0ms (0.1%)

localize91.0ms (0.8%)

series12.0ms (0.1%)

rewrite237.0ms (2%)

simplify168.0ms (1.4%)

eval138.0ms (1.1%)

prune90.0ms (0.7%)

simplify5.0ms (0%)

localize45.0ms (0.4%)

series1.0ms (0%)

rewrite40.0ms (0.3%)

simplify179.0ms (1.5%)

eval25.0ms (0.2%)

prune43.0ms (0.4%)

regimes16.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

simplify7.0ms (0.1%)

soundness8.8s (72.9%)

preprocess45.0ms (0.4%)

end0.0ms (0%)

Profiling