Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, C

analyze16.0ms (0.4%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

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

ival-div: 5.0ms (72.9% of total)

ival-mult: 2.0ms (29.1% of total)

const: 0.0ms (0% of total)

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

sample544.0ms (12.2%)

Results

369.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-div: 74.0ms (46.5% of total)

ival-mult: 71.0ms (44.6% of total)

const: 11.0ms (6.9% of total)

backward-pass: 3.0ms (1.9% of total)

Bogosity

preprocess76.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

1214×	`fnmadd-define`
1128×	`fma-define`
664×	`sum3-define`
554×	`fmsub-define`
550×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	42	30
2	104	30
3	328	30
4	1035	30
5	1992	30
6	3350	30
7	3865	30
8	3955	30
9	4123	30
10	4171	30
0	5	5
1	8	5
2	10	5
0	10	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ x (* y 3))

Outputs
(/ x (* y 3))
(/.f64 x (*.f64 y #s(literal 3 binary64)))

Call 2

Inputs
(/ x (* y 3))
(/ (neg x) (* y 3))
(/ x (* (neg y) 3))
(neg (/ (neg x) (* y 3)))
(neg (/ x (* (neg y) 3)))
(/ y (* x 3))

Outputs
(/ x (* y 3))
(* x (/ 1/3 y))
(/ (neg x) (* y 3))
(* x (/ -1/3 y))
(/ x (* (neg y) 3))
(* x (/ -1/3 y))
(neg (/ (neg x) (* y 3)))
(* x (/ 1/3 y))
(neg (/ x (* (neg y) 3)))
(* x (/ 1/3 y))
(/ y (* x 3))
(* y (/ 1/3 x))

Symmetry

(negabs x)

(negabs y)

explain50.0ms (1.1%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
-	-	`#s(literal 3 binary64)`
-	-	`y`
-	-	`(*.f64 y #s(literal 3 binary64))`

Results

34.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

ival-div: 4.0ms (43.5% of total)

ival-mult: 4.0ms (43.5% of total)

const: 1.0ms (10.9% of total)

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

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	8	11
2	10	11
0	10	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ x (* y 3))
x
(* y 3)
y
3

Outputs
(/ x (* y 3))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
x
(* y 3)
(*.f64 y #s(literal 3 binary64))
y
3
#s(literal 3 binary64)

localize160.0ms (3.6%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	99.6%	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Results

149.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-div: 2.0ms (42.3% of total)

ival-mult: 2.0ms (42.3% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (/ x (* y 3))>
#<alt (* y 3)>

Outputs
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(* y 3)
1.0ms	y	@	0	(/ x (* y 3))
1.0ms	x	@	inf	(/ x (* y 3))
1.0ms	x	@	0	(/ x (* y 3))
0.0ms	y	@	inf	(/ x (* y 3))

rewrite226.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2730×	`/-lowering-/.f32`
2730×	`/-lowering-/.f64`
1908×	`-lowering-.f32`
1908×	`-lowering-.f64`
1146×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	16	8
2	79	8
3	399	8
4	2333	8
0	9049	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 389

Calls

Call 1

Inputs
(/ x (* y 3))
(* y 3)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 x y)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 3 binary64) (/.f64 x y)) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 3 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal 3 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (.f64 (log.f64 (/.f64 #s(literal 3 binary64) (/.f64 x y))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64))) (/.f64 #s(literal 3 binary64) (/.f64 x y))) (/.f64 x (/.f64 y #s(literal 1/3 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (/.f64 y #s(literal 1/3 binary64)) x) (.f64 (*.f64 y y) #s(literal 9 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 y y) #s(literal 9 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal 1/3 binary64)) (.f64 x x))) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -3 binary64) x)) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64))) (/.f64 #s(literal 3 binary64) (/.f64 x y))) #s(literal 0 binary64))) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/3 binary64)) x)) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x))) (.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 y x)) (.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -3 binary64))) (/.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 y x)) (.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -3 binary64))) (/.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x))) (.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) y) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 x y))) (/.f64 (*.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal 1/3 binary64)) y)) (/.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -3 binary64) x)) (.f64 (/.f64 y #s(literal 1/3 binary64)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal 1/3 binary64)) y)) (/.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 3 binary64) x)) (.f64 (/.f64 y #s(literal 1/3 binary64)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) y))) (/.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 3 binary64) x)) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) y))) (/.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -3 binary64) x)) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) y))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(neg.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(/.f64 x (/.f64 y #s(literal 1/3 binary64)))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 x (/.f64 y #s(literal 1/3 binary64)))))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (neg.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 y #s(literal 1/3 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 y #s(literal 1/3 binary64)) x) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 3 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y #s(literal 1/3 binary64)) y) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -3 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1/3 binary64) y)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -3 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) y)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) y) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -3 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 y #s(literal 1/3 binary64)) (.f64 x x)) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 y #s(literal 1/3 binary64)) x) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3 binary64) (.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 #s(literal -3 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x x)) (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 x x)) (.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (.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 #s(literal 3 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64))) (/.f64 #s(literal 3 binary64) (/.f64 x y))) #s(literal 0 binary64)) (/.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal -1/3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 x (/.f64 y #s(literal 1/3 binary64)))) (/.f64 y #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 1/3 binary64)) y))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/3 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/3 binary64))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 1/27 binary64)) (.f64 (.f64 y y) #s(literal 9 binary64)))
(/.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) (/.f64 y #s(literal 1/3 binary64)))
(/.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) (-.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(/.f64 (pow.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) (/.f64 (.f64 y (.f64 y y)) #s(literal 1/27 binary64)))) (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) (.f64 (.f64 y y) #s(literal 9 binary64))))
(/.f64 (neg.f64 (pow.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 1/27 binary64)) #s(literal 0 binary64)) (.f64 (.f64 y y) #s(literal 9 binary64)))
(pow.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(*.f64 y #s(literal 3 binary64))
(*.f64 y #s(literal -3 binary64))
(*.f64 y (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1/3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal 1/3 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 3 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) y)
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) y))
(.f64 (/.f64 (.f64 y (*.f64 y y)) #s(literal 1/27 binary64)) (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 y #s(literal 1/3 binary64))))
(.f64 (.f64 (*.f64 y y) #s(literal 9 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (pow.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) y)
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 y #s(literal 1/3 binary64)))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) (exp.f64 (log.f64 #s(literal -3 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -3 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))))

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	156
1	11	156
2	13	156
3	15	156
4	16	156
0	16	156

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)

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

eval42.0ms (0.9%)

Compiler: Compiled 5349 to 814 computations (84.8% saved)

prune60.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	420	5	425
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	420	6	426

Accuracy

100.0%

Counts

426 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
▶	99.7%	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
▶	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
▶	27.9%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal -1/3 binary64)) (.f64 (*.f64 x x) y))
✓	99.6%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
▶	99.6%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)

Compiler

Compiled 101 to 69 computations (31.7% saved)

simplify167.0ms (3.7%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))) #s(literal -1/3 binary64))
✓	cost-diff	640	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal -1/3 binary64)) (.f64 (*.f64 x x) y))
✓	cost-diff	0	(/.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) y)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
✓	cost-diff	0	(/.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 (/.f64 x #s(literal 3 binary64)) y)

Rules

2520×	`-lowering-.f32`
2520×	`-lowering-.f64`
1834×	`fnmadd-define`
1642×	`/-lowering-/.f32`
1642×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	77
1	54	77
2	126	76
3	440	76
4	2069	76
5	4165	76
0	8387	76

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ x 3) y)
(/ x 3)
x
3
y
(* (/ 1/3 y) x)
(/ 1/3 y)
1/3
y
x
(/ (/ x y) 3)
(/ x y)
x
y
3
(/ (/ 1 y) (/ 3 x))
(/ 1 y)
1
y
(/ 3 x)
3
x
(/ (* (- 0 (* x (* x x))) -1/3) (* (* x x) y))
(* (- 0 (* x (* x x))) -1/3)
(- 0 (* x (* x x)))
0
(* x (* x x))
x
(* x x)
-1/3
(* (* x x) y)
y

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

localize141.0ms (3.2%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))) #s(literal -1/3 binary64))
✓	accuracy	88.5%	(.f64 (.f64 x x) y)
✓	accuracy	41.3%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal -1/3 binary64)) (.f64 (*.f64 x x) y))
✓	accuracy	100.0%	(/.f64 #s(literal 3 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
✓	accuracy	99.5%	(/.f64 #s(literal 1/3 binary64) y)
✓	accuracy	100.0%	(/.f64 x #s(literal 3 binary64))
✓	accuracy	99.7%	(/.f64 (/.f64 x #s(literal 3 binary64)) y)

Results

77.0ms

256×

valid

Compiler

Compiled 101 to 23 computations (77.2% saved)

Precisions

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

ival-div: 17.0ms (46.4% of total)

ival-mult: 10.0ms (27.3% of total)

...c/correct-round.rkt:119:19: 8.0ms (21.8% of total)

ival-sub: 1.0ms (2.7% of total)

const: 1.0ms (2.7% of total)

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

series13.0ms (0.3%)

Counts

14 → 252

Calls

Call 1

Inputs
#<alt (/ (/ x 3) y)>
#<alt (/ x 3)>
#<alt (* (/ 1/3 y) x)>
#<alt (/ 1/3 y)>
#<alt (/ (/ x y) 3)>
#<alt (/ x y)>
#<alt (/ (/ 1 y) (/ 3 x))>
#<alt (/ 1 y)>
#<alt (/ 3 x)>
#<alt (/ (* (- 0 (* x (* x x))) -1/3) (* (* x x) y))>
#<alt (* (- 0 (* x (* x x))) -1/3)>
#<alt (- 0 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* (* x x) y)>

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

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ (/ x 3) y)
2.0ms	y	@	0	(* (* x x) y)
1.0ms	x	@	0	(* (- 0 (* x (* x x))) -1/3)
0.0ms	x	@	inf	(/ x 3)
0.0ms	x	@	-inf	(/ x y)

rewrite467.0ms (10.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3324×	`-lowering-.f32`
3324×	`-lowering-.f64`
2976×	`/-lowering-/.f32`
2976×	`/-lowering-/.f64`
1256×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	57
1	118	57
2	765	56
3	6649	56
0	8141	56

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 3395

Calls

Call 1

Inputs
(/ (/ x 3) y)
(/ x 3)
(* (/ 1/3 y) x)
(/ 1/3 y)
(/ (/ x y) 3)
(/ x y)
(/ (/ 1 y) (/ 3 x))
(/ 1 y)
(/ 3 x)
(/ (* (- 0 (* x (* x x))) -1/3) (* (* x x) y))
(* (- 0 (* x (* x x))) -1/3)
(- 0 (* x (* x x)))
(* x (* x x))
(* (* x x) y)

Outputs
(+.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(+.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 x x)))) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 x (/.f64 y #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x)))) (/.f64 x (/.f64 y #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -3 binary64) x)) (/.f64 x (/.f64 y #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y #s(literal -1/3 binary64))) (/.f64 x (/.f64 y #s(literal -1/3 binary64))))
(fma.f64 x (/.f64 #s(literal 1/3 binary64) y) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 1/3 binary64) y) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x)))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x)))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64))) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 x y) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 x y) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 x x))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 x x))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x x)))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x x)))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x)))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x)))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x)))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) x (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) x (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 (/.f64 x y) #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 x y) #s(literal 1/3 binary64) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal 1/3 binary64))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal 1/3 binary64))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 3 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 3 binary64)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x x))) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x))) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(fma.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x)))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x)))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 (.f64 x (.f64 x x)) (neg.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x)))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (neg.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x)))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x x)))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x x)))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x)))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x)))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x)))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) y)) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) y)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 #s(literal -1/3 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x x)))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/3 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x x)))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x)))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x x))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x x))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x)))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 y #s(literal -1/3 binary64))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 y #s(literal -1/3 binary64))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -3 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -3 binary64)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 (/.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) y) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) y) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/3 binary64) y) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/3 binary64) y) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/3 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/3 binary64)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x)))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x)))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x)))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x x))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x x))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1/3 binary64) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1/3 binary64) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) y) (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) y) (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x)))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 x x)))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (.f64 (.f64 y (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y (*.f64 x x)))))
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(.f64 (/.f64 (.f64 x x) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x x)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (.f64 x (*.f64 x x)) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x)))) x)
(.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x)))
(.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) x))
(.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) x) (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(.f64 (/.f64 (pow.f64 x #s(literal 9/2 binary64)) x) (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 9/2 binary64)) x))
(.f64 (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (.f64 x x)) (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (*.f64 x x)))
(.f64 (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (.f64 x (.f64 x x))) (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))
(.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x))))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x x))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 y (.f64 x x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x))) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 x (.f64 x y))
(.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x y))))
(.f64 y (.f64 x x))
(.f64 y (.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 y (/.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) y)
(.f64 (.f64 y (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 x x))))
(.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(.f64 (.f64 x y) x)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) y))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) y)

simplify52.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

254×	`sum3-define`
244×	`fma-define`
86×	`fma-lowering-fma.f32`
86×	`fma-lowering-fma.f64`
74×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	1068
1	31	1068
2	58	1068
3	73	1068
4	77	1068
5	101	1068
6	142	1068
7	159	1068
8	220	1068
9	465	1068
10	472	1068
11	473	1068
0	473	1068

Stop Event

1×	iter limit
1×	saturated

Counts

252 → 252

Calls

Call 1

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

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

eval415.0ms (9.3%)

Compiler: Compiled 85302 to 2649 computations (96.9% saved)

prune189.0ms (4.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	3646	1	3647
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	3647	6	3653

Accuracy

100.0%

Counts

3653 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(/.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x) (.f64 x y))
✓	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	99.7%	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
✓	99.6%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓	99.6%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)

Compiler

Compiled 52 to 36 computations (30.8% saved)

simplify246.0ms (5.5%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	256	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) x)
✓	cost-diff	512	(/.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x) (.f64 x y))

Rules

5352×	`-lowering-.f32`
5352×	`-lowering-.f64`
2298×	`cube-prod`
2096×	`associate-/r/`
1888×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	22	35
2	66	31
3	265	27
4	1043	27
5	1870	27
6	2045	27
7	2213	27
8	2465	27
9	2801	27
10	3222	27
11	5821	27
12	7098	27
13	7652	27
14	7913	27
15	7993	27
0	8008	27

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (* 1/3 (* x (* x x))) x) (* x y))
(/ (* 1/3 (* x (* x x))) x)
(* 1/3 (* x (* x x)))
1/3
(* x (* x x))
x
(* x x)
(* x y)
y

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

localize40.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	90.3%	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) x)
✓	accuracy	60.1%	(/.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x) (.f64 x y))

Results

28.0ms

256×

valid

Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions

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

ival-mult: 8.0ms (52.7% of total)

...c/correct-round.rkt:119:19: 4.0ms (26.4% of total)

ival-div: 3.0ms (19.8% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

4 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite210.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3628×	`-lowering-.f32`
3628×	`-lowering-.f64`
2692×	`/-lowering-/.f32`
2692×	`/-lowering-/.f64`
1112×	`unpow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	39	26
2	274	18
3	2537	18
0	8550	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 345

Calls

Call 1

Inputs
(/ (/ (* 1/3 (* x (* x x))) x) (* x y))
(/ (* 1/3 (* x (* x x))) x)
(* 1/3 (* x (* x x)))
(* x (* x x))

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

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

38×	`-lowering-.f32`
38×	`-lowering-.f64`
10×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	276
1	19	276
2	31	276
3	35	276
4	36	276
0	36	276

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

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

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

eval40.0ms (0.9%)

Compiler: Compiled 5659 to 999 computations (82.3% saved)

prune45.0ms (1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	404	1	405
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	405	6	411

Accuracy

100.0%

Counts

411 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	99.7%	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
▶	58.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (.f64 x x))) (.f64 x y))
✓	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
✓	99.6%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓	99.6%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)

Compiler

Compiled 50 to 36 computations (28% saved)

simplify391.0ms (8.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 3 binary64) (*.f64 x x))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x)))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (.f64 x x))) (.f64 x y))

Rules

7982×	`-lowering-.f32`
7982×	`-lowering-.f64`
2800×	`cube-prod`
2130×	`/-lowering-/.f32`
2130×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	22	29
2	51	29
3	135	25
4	294	25
5	828	25
6	1812	25
7	1956	25
8	2017	25
9	2135	25
10	2305	25
11	2517	25
12	3946	25
13	5041	25
14	5624	25
15	5937	25
16	5977	25
17	6017	25
18	6057	25
19	7853	25
0	8040	25

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ 1 (/ 3 (* x x))) (* x y))
(/ 1 (/ 3 (* x x)))
1
(/ 3 (* x x))
3
(* x x)
x
(* x y)
y

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

localize42.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.5%	(/.f64 #s(literal 3 binary64) (*.f64 x x))
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x)))
✓	accuracy	60.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (.f64 x x))) (.f64 x y))

Results

22.0ms

256×

valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 5.0ms (49.6% of total)

ival-mult: 4.0ms (39.7% of total)

const: 1.0ms (9.9% of total)

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

series1.0ms (0%)

Counts

4 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite224.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

2628×	`-lowering-.f32`
2628×	`-lowering-.f64`
1920×	`/-lowering-/.f32`
1920×	`/-lowering-/.f64`
1070×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	47	22
2	279	22
3	1801	18
4	7507	18
0	8042	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 294

Calls

Call 1

Inputs
(/ (/ 1 (/ 3 (* x x))) (* x y))
(/ 1 (/ 3 (* x x)))
(/ 3 (* x x))
(* x x)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal 0 binary64)) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x y)) #s(literal 0 binary64)) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x y))) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 3 binary64) (/.f64 x y)))))
(exp.f64 (+.f64 (log.f64 (/.f64 (.f64 x x) #s(literal 3 binary64))) (.f64 #s(literal -1 binary64) (log.f64 (*.f64 x y)))))
(exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (.f64 x y))) (log.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)))))
(exp.f64 (-.f64 (.f64 #s(literal -1 binary64) (log.f64 (.f64 x y))) (log.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 x (/.f64 y #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 x (/.f64 y #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 1/3 binary64) y))) (/.f64 x (/.f64 y #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) #s(literal -1/3 binary64))) (/.f64 x (/.f64 y #s(literal -1/3 binary64))))
(neg.f64 (/.f64 x (/.f64 y #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 x #s(literal 3 binary64)) (*.f64 x y))))
(/.f64 x (/.f64 y #s(literal 1/3 binary64)))
(/.f64 x (*.f64 x (/.f64 #s(literal 3 binary64) (/.f64 x y))))
(/.f64 (*.f64 x x) (/.f64 x (/.f64 #s(literal 1/3 binary64) y)))
(/.f64 (/.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 x y))
(/.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (.f64 x y) #s(literal -1/3 binary64)))
(/.f64 (/.f64 x (/.f64 #s(literal -3 binary64) x)) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 3 binary64) (.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (/.f64 y (/.f64 x #s(literal -3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y #s(literal -1/3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 (*.f64 x x) #s(literal 3 binary64))))
(/.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) y) x)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 y (*.f64 x x)))
(/.f64 (/.f64 (*.f64 x x) y) (/.f64 x #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 #s(literal -1/3 binary64) (neg.f64 (/.f64 y x)))
(/.f64 (/.f64 x (/.f64 y #s(literal -1/3 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -3 binary64) (*.f64 x x)))
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 y (/.f64 x #s(literal -3 binary64))) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -3 binary64) x))
(/.f64 (/.f64 #s(literal -1/3 binary64) (/.f64 y (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal -1/3 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(/.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) y)) (/.f64 x #s(literal -1/3 binary64)))
(/.f64 (/.f64 x (*.f64 x y)) (/.f64 #s(literal 3 binary64) x))
(/.f64 (/.f64 (/.f64 x #s(literal 3 binary64)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x y)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (/.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (/.f64 x #s(literal -3 binary64)) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -3 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 x y) #s(literal -1/3 binary64))) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) (.f64 x x))) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 (.f64 x y) #s(literal -1/3 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 0 binary64) y))) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 (.f64 x x) #s(literal 3 binary64)))) (.f64 (.f64 x x) (.f64 y y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 1/3 binary64) y))) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (.f64 x x)))) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 x (/.f64 #s(literal -3 binary64) x)))) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) (*.f64 x y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 x #s(literal 3 binary64)))) (.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y x))) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 1/3 binary64))) (.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) (neg.f64 (/.f64 y x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 x #s(literal -3 binary64)))) (.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) y))
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(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) (/.f64 (*.f64 x x) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) (/.f64 (.f64 x x) #s(literal 3 binary64)))) (/.f64 #s(literal -3 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 x (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))))
(/.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (*.f64 x x))
(/.f64 (exp.f64 (log.f64 #s(literal -3 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (exp.f64 (log.f64 (/.f64 #s(literal 3 binary64) x))) x)
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 x (/.f64 #s(literal -3 binary64) x)))))
(/.f64 (exp.f64 (log.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (exp.f64 (log.f64 (/.f64 #s(literal -3 binary64) x))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) (.f64 x (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) (/.f64 (*.f64 x x) #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) (/.f64 (.f64 x x) #s(literal 3 binary64))))) (/.f64 #s(literal 3 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (.f64 x (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))) (.f64 x (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) (/.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) (/.f64 (*.f64 x x) #s(literal 3 binary64))))
(pow.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) #s(literal -2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) (/.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (.f64 x x)))
(.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (.f64 x x)))
(.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 #s(literal -3 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -3 binary64) x))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal -3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) x))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (exp.f64 (log.f64 #s(literal -3 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

22×	`-lowering-.f32`
22×	`-lowering-.f64`
12×	`/-lowering-/.f32`
12×	`/-lowering-/.f64`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	276
1	15	276
2	22	276
3	24	276
4	25	276
0	25	276

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

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

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

eval37.0ms (0.8%)

Compiler: Compiled 4580 to 836 computations (81.7% saved)

prune44.0ms (1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	354	0	354
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	354	6	360

Accuracy

100.0%

Counts

360 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	99.7%	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓	58.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (.f64 x x))) (.f64 x y))
✓	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
✓	99.6%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓	99.6%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)

Compiler

Compiled 118 to 67 computations (43.2% saved)

regimes15.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(/.f64 (/.f64 x #s(literal 3 binary64)) y)

Calls

4 calls:

5.0ms	y
3.0ms	(*.f64 y #s(literal 3 binary64))
3.0ms	x
3.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
99.7%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))

Calls

4 calls:

2.0ms	(*.f64 y #s(literal 3 binary64))
1.0ms	y
1.0ms	x
1.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
99.6%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	12	15

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness370.0ms (8.3%)

Rules

2730×	`/-lowering-/.f32`
2730×	`/-lowering-/.f64`
1908×	`-lowering-.f32`
1908×	`-lowering-.f64`
1146×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	16	8
2	79	8
3	399	8
4	2333	8
0	9049	8

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 31 to 20 computations (35.5% saved)

preprocess74.0ms (1.7%)

Remove

(negabs y)

(negabs x)

Compiler

Compiled 146 to 100 computations (31.5% saved)

analyze16.0ms (0.4%)

sample544.0ms (12.2%)

preprocess76.0ms (1.7%)

explain50.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize160.0ms (3.6%)

series5.0ms (0.1%)

rewrite226.0ms (5.1%)

simplify9.0ms (0.2%)

eval42.0ms (0.9%)

prune60.0ms (1.3%)

simplify167.0ms (3.7%)

localize141.0ms (3.2%)

series13.0ms (0.3%)

rewrite467.0ms (10.5%)

simplify52.0ms (1.2%)

eval415.0ms (9.3%)

prune189.0ms (4.2%)

simplify246.0ms (5.5%)

localize40.0ms (0.9%)

series1.0ms (0%)

rewrite210.0ms (4.7%)

simplify11.0ms (0.3%)

eval40.0ms (0.9%)

prune45.0ms (1%)

simplify391.0ms (8.8%)

localize42.0ms (0.9%)

series1.0ms (0%)

rewrite224.0ms (5%)

simplify13.0ms (0.3%)

eval37.0ms (0.8%)

prune44.0ms (1%)

regimes15.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

simplify7.0ms (0.2%)

soundness370.0ms (8.3%)

preprocess74.0ms (1.7%)

end0.0ms (0%)

Profiling