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

analyze15.0ms (0.7%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (63.4% of total)

ival-div: 1.0ms (31.7% of total)

const: 0.0ms (0% of total)

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

sample605.0ms (26.7%)

Results

409.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-mult: 100.0ms (54.9% of total)

ival-div: 69.0ms (37.9% of total)

const: 11.0ms (6% of total)

backward-pass: 3.0ms (1.6% of total)

Bogosity

preprocess69.0ms (3%)

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)

explain49.0ms (2.1%)

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

32.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

ival-mult: 6.0ms (57.7% of total)

ival-div: 4.0ms (38.4% of total)

const: 1.0ms (9.6% 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
▶	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.2%)

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)

localize21.0ms (0.9%)

Localize:

Found 2 expressions of interest:

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

Results

15.0ms

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 (43.2% of total)

ival-mult: 2.0ms (43.2% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Counts

2 → 36

Calls

Call 1

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

rewrite216.0ms (9.5%)

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))))

simplify8.0ms (0.4%)

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))

eval41.0ms (1.8%)

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

prune69.0ms (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)
▶	99.5%	(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
▶	99.6%	(/.f64 x (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
▶	99.5%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)

Compiler

Compiled 85 to 63 computations (25.9% saved)

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

96×	`-lowering-.f32`
96×	`-lowering-.f64`
80×	`/-lowering-/.f32`
80×	`/-lowering-/.f64`
58×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	61
1	32	61
2	47	61
3	72	61
4	101	61
5	133	61
6	151	61
7	176	61
8	192	61
9	203	61
10	204	61
0	204	61

Stop Event

1×	iter limit
1×	saturated

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
(/ x (/ 3 (/ 1 y)))
x
(/ 3 (/ 1 y))
3
(/ 1 y)
1
y
(/ (/ 1/3 y) (/ 1 x))
(/ 1/3 y)
1/3
y
(/ 1 x)
1
x

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

localize195.0ms (8.6%)

Localize:

Found 12 expressions of interest:

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

Results

135.0ms	86×	5	exit
35.0ms	170×	0	valid

Compiler

Compiled 72 to 17 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-div: 51.0ms (72.2% of total)

backward-pass: 11.0ms (15.6% of total)

...c/correct-round.rkt:119:19: 5.0ms (7.1% of total)

ival-mult: 3.0ms (4.2% of total)

const: 1.0ms (1.4% of total)

series5.0ms (0.2%)

Counts

11 → 204

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

Calls

51 calls:

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

rewrite319.0ms (14.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3038×	`-lowering-.f32`
3038×	`-lowering-.f64`
2370×	`/-lowering-/.f32`
2370×	`/-lowering-/.f64`
1734×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	91	41
2	456	41
3	1833	41
4	7231	41
0	8982	41

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1123

Calls

Call 1

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

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

simplify26.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	828
1	20	828
2	21	828
3	22	828
0	22	828

Stop Event

1×	iter limit
1×	saturated

Counts

204 → 204

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

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

eval164.0ms (7.2%)

Compiler: Compiled 16311 to 1321 computations (91.9% saved)

prune101.0ms (4.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	1387	0	1387
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	1387	6	1393

Accuracy

100.0%

Counts

1393 → 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)
✓	99.5%	(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
✓	99.6%	(/.f64 x (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓	99.5%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)

Compiler

Compiled 82 to 52 computations (36.6% saved)

regimes11.0ms (0.5%)

Counts

6 → 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 x (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))

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

Calls

4 calls:

3.0ms	y
3.0ms	(*.f64 y #s(literal 3 binary64))
2.0ms	x
2.0ms	(/.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)

regimes3.0ms (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:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	10	10

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness257.0ms (11.3%)

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 19 to 13 computations (31.6% saved)

preprocess64.0ms (2.8%)

Remove

(negabs y)

(negabs x)

Compiler

Compiled 136 to 96 computations (29.4% saved)

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

analyze15.0ms (0.7%)

sample605.0ms (26.7%)

preprocess69.0ms (3%)

explain49.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.2%)

localize21.0ms (0.9%)

series5.0ms (0.2%)

rewrite216.0ms (9.5%)

simplify8.0ms (0.4%)

eval41.0ms (1.8%)

prune69.0ms (3%)

simplify12.0ms (0.5%)

localize195.0ms (8.6%)

series5.0ms (0.2%)

rewrite319.0ms (14.1%)

simplify26.0ms (1.1%)

eval164.0ms (7.2%)

prune101.0ms (4.5%)

regimes11.0ms (0.5%)

regimes3.0ms (0.1%)

simplify9.0ms (0.4%)

soundness257.0ms (11.3%)

preprocess64.0ms (2.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	61
1	32	61
2	47	61
3	72	61
4	101	61
5	133	61
6	151	61
7	176	61
8	192	61
9	203	61
10	204	61
0	204	61

Iter	Nodes	Cost
0	16	61
1	32	61
2	47	61
3	72	61
4	101	61
5	133	61
6	151	61
7	176	61
8	192	61
9	203	61
10	204	61
0	204	61

Iter	Nodes	Cost
0	16	61
1	32	61
2	47	61
3	72	61
4	101	61
5	133	61
6	151	61
7	176	61
8	192	61
9	203	61
10	204	61
0	204	61