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

analyze13.0ms (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: 3.0ms

ival-mult: 2.0ms (65.3% of total)

ival-div: 1.0ms (32.6% of total)

const: 0.0ms (0% of total)

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

sample541.0ms (16.9%)

Results

365.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-div: 80.0ms (49.5% of total)

ival-mult: 68.0ms (42.1% of total)

const: 11.0ms (6.8% of total)

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

Bogosity

preprocess80.0ms (2.5%)

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)

explain52.0ms (1.6%)

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: 9.0ms

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

ival-mult: 4.0ms (43.8% 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
▶	99.7%	(/.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)

localize30.0ms (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

24.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

const: 4.0ms (49.8% of total)

ival-div: 2.0ms (24.9% of total)

ival-mult: 2.0ms (24.9% 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))

rewrite230.0ms (7.2%)

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 (0.3%)

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))

eval63.0ms (2%)

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

prune52.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	421	4	425
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	421	5	426

Accuracy

100.0%

Counts

426 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
▶	99.8%	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
▶	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
▶	99.6%	(/.f64 x (/.f64 y #s(literal 1/3 binary64)))
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Compiler

Compiled 37 to 27 computations (27% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

60×	`-lowering-.f32`
60×	`-lowering-.f64`
50×	`/-lowering-/.f32`
50×	`/-lowering-/.f64`
26×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	47
1	26	47
2	38	47
3	54	47
4	61	47
5	102	47
6	122	47
0	122	47

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize141.0ms (4.4%)

Localize:

Found 9 expressions of interest:

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

Results

76.0ms	77×	5	exit
28.0ms	179×	0	valid

Compiler

Compiled 53 to 15 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 27.0ms (49.8% of total)

...c/correct-round.rkt:119:19: 19.0ms (35.1% of total)

backward-pass: 8.0ms (14.8% of total)

const: 1.0ms (1.8% of total)

series5.0ms (0.1%)

Counts

9 → 168

Calls

Call 1

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

Calls

42 calls:

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

rewrite265.0ms (8.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2388×	`-lowering-.f32`
2388×	`-lowering-.f64`
1900×	`/-lowering-/.f32`
1900×	`/-lowering-/.f64`
1542×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	75	34
2	388	34
3	1501	34
4	5600	34
0	8270	34

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 842

Calls

Call 1

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

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

simplify21.0ms (0.6%)

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	11	684
1	18	684
2	20	684
3	21	684
0	21	684

Stop Event

1×	iter limit
1×	saturated

Counts

168 → 168

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

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

eval101.0ms (3.2%)

Compiler: Compiled 11543 to 1093 computations (90.5% saved)

prune96.0ms (3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1009	1	1010
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	1009	6	1015

Accuracy

100.0%

Counts

1015 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.4%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 x #s(literal -3 binary64))) y)
✓	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	99.8%	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
✓	99.6%	(/.f64 x (/.f64 y #s(literal 1/3 binary64)))
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Compiler

Compiled 52 to 38 computations (26.9% saved)

simplify154.0ms (4.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/9 binary64))
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64)))
✓	cost-diff	512	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 x #s(literal -3 binary64)))
✓	cost-diff	512	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 x #s(literal -3 binary64))) y)

Rules

2368×	`-lowering-.f32`
2368×	`-lowering-.f64`
2190×	`sum3-define`
1818×	`/-lowering-/.f32`
1818×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	27	41
2	83	37
3	292	29
4	1154	29
5	3028	29
6	6596	29
0	8160	29

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (- 0 (* (* x x) 1/9)) (/ x -3)) y)
(/ (- 0 (* (* x x) 1/9)) (/ x -3))
(- 0 (* (* x x) 1/9))
0
(* (* x x) 1/9)
(* x x)
x
1/9
(/ x -3)
-3
y

Outputs
(/ (/ (- 0 (* (* x x) 1/9)) (/ x -3)) y)
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/ (- 0 (* (* x x) 1/9)) (/ x -3))
(/.f64 x #s(literal 3 binary64))
(- 0 (* (* x x) 1/9))
(.f64 (.f64 x x) #s(literal -1/9 binary64))
0
#s(literal 0 binary64)
(* (* x x) 1/9)
(.f64 (.f64 x x) #s(literal 1/9 binary64))
(* x x)
(*.f64 x x)
x
1/9
#s(literal 1/9 binary64)
(/ x -3)
(/.f64 x #s(literal -3 binary64))
-3
#s(literal -3 binary64)
y

localize44.0ms (1.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 x #s(literal -3 binary64))) y)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/9 binary64))
✓	accuracy	52.8%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 x #s(literal -3 binary64)))

Results

31.0ms

256×

valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-mult: 6.0ms (33.8% of total)

ival-div: 5.0ms (28.1% of total)

...c/correct-round.rkt:119:19: 4.0ms (22.5% of total)

ival-sub: 1.0ms (5.6% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

5 → 72

Calls

Call 1

Inputs
#<alt (/ (/ (- 0 (* (* x x) 1/9)) (/ x -3)) y)>
#<alt (/ (- 0 (* (* x x) 1/9)) (/ x -3))>
#<alt (- 0 (* (* x x) 1/9))>
#<alt (* (* x x) 1/9)>
#<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 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 (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* -1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (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

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(- 0 (* (* x x) 1/9))
0.0ms	x	@	inf	(- 0 (* (* x x) 1/9))
0.0ms	x	@	inf	(* (* x x) 1/9)
0.0ms	x	@	0	(/ (/ (- 0 (* (* x x) 1/9)) (/ x -3)) y)
0.0ms	x	@	inf	(/ (/ (- 0 (* (* x x) 1/9)) (/ x -3)) y)

rewrite236.0ms (7.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4232×	`-lowering-.f32`
4232×	`-lowering-.f64`
3692×	`/-lowering-/.f32`
3692×	`/-lowering-/.f64`
1566×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	65	31
2	537	21
0	8194	21

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 911

Calls

Call 1

Inputs
(/ (/ (- 0 (* (* x x) 1/9)) (/ x -3)) y)
(/ (- 0 (* (* x x) 1/9)) (/ x -3))
(- 0 (* (* x x) 1/9))
(* (* x x) 1/9)
(* x x)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (/.f64 x #s(literal 3 binary64)) y))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) (/.f64 (/.f64 x #s(literal 3 binary64)) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x #s(literal -3 binary64)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) (/.f64 (.f64 x x) #s(literal 9 binary64)))) (/.f64 (/.f64 x #s(literal -3 binary64)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) (/.f64 (/.f64 x #s(literal -3 binary64)) y))
(neg.f64 (/.f64 (/.f64 x #s(literal -3 binary64)) y))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal -3 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -3 binary64) x)))
(neg.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/9 binary64)) y) (/.f64 x #s(literal 3 binary64))))
(/.f64 (/.f64 (*.f64 x x) #s(literal 9 binary64)) (/.f64 y (/.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/9 binary64)) (/.f64 y (/.f64 #s(literal -3 binary64) x)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/9 binary64)) (*.f64 (/.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/9 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal -3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/9 binary64))) y))
(/.f64 (/.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64)) (.f64 (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) (/.f64 (.f64 x x) #s(literal 9 binary64))))
(/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64)) (.f64 (/.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/81 binary64)))) (/.f64 #s(literal -3 binary64) x)) y))
(/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64)) (.f64 (/.f64 y (/.f64 #s(literal 3 binary64) x)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/81 binary64))))
(/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/81 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))))
(/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/81 binary64)))) (neg.f64 (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))))
(/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/81 binary64)))) (.f64 (/.f64 y (/.f64 #s(literal -3 binary64) x)) (.f64 (*.f64 x x) #s(literal -1/9 binary64))))
(/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/81 binary64)))) (.f64 (/.f64 y (/.f64 #s(literal 3 binary64) x)) (/.f64 (.f64 x x) #s(literal 9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) (/.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 (/.f64 (*.f64 x x) #s(literal 9 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal -3 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal -1/9 binary64)) y)))
(/.f64 (/.f64 #s(literal -3 binary64) x) (.f64 (/.f64 #s(literal -9 binary64) (.f64 x x)) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64)) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) y))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64)) (.f64 (/.f64 y (/.f64 #s(literal 3 binary64) x)) (.f64 (*.f64 x x) #s(literal -1/9 binary64))))
(/.f64 (.f64 #s(literal -1/9 binary64) (.f64 x #s(literal 1 binary64))) (*.f64 y #s(literal -1/3 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x #s(literal -3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) x) y))
(/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/3 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/81 binary64)))) (/.f64 #s(literal -3 binary64) x))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (neg.f64 (.f64 (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) (/.f64 (.f64 x x) #s(literal 9 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (.f64 (/.f64 y (/.f64 #s(literal -3 binary64) x)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/81 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (.f64 (/.f64 y (/.f64 #s(literal 3 binary64) x)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/81 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) (.f64 y (/.f64 (*.f64 x x) #s(literal 9 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (.f64 #s(literal 1/531441 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 (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) (/.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 #s(literal 1/531441 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 #s(literal -1 binary64) y) (/.f64 #s(literal -3 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/531441 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 (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) (/.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/531441 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 y (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/6561 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/6561 binary64))) (.f64 (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/81 binary64))))))
(/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64)) (/.f64 x #s(literal -3 binary64))) (.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/81 binary64)))) y))
(/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64)) (/.f64 x #s(literal -3 binary64))) (.f64 y (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/81 binary64))))))
(/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64)) (/.f64 x #s(literal -3 binary64))) (.f64 (/.f64 (.f64 x x) #s(literal 9 binary64)) y))
(/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64)) (/.f64 x #s(literal -3 binary64))) (.f64 y (/.f64 (.f64 x x) #s(literal 9 binary64))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y))
(/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/9 binary64)) y) (/.f64 x #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal -3 binary64) (.f64 x y)) (/.f64 #s(literal -9 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal -3 binary64) x))) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) (.f64 (/.f64 y (/.f64 #s(literal -3 binary64) x)) (/.f64 y (/.f64 #s(literal -3 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (/.f64 y (/.f64 #s(literal -3 binary64) x))) (.f64 y y))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64)) #s(literal -3 binary64)) (.f64 (.f64 x (/.f64 (.f64 x x) #s(literal 9 binary64))) y))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/81 binary64)))) (/.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64)) (/.f64 y (/.f64 #s(literal -3 binary64) x))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/81 binary64)))) (/.f64 #s(literal -3 binary64) x)) (.f64 (.f64 (.f64 x x) #s(literal -1/9 binary64)) y))
(/.f64 (.f64 (/.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -3 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/81 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -1/9 binary64)) (/.f64 y (/.f64 #s(literal -3 binary64) x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 x y))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64)) #s(literal -3 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/81 binary64)))) y))
(/.f64 (.f64 (.f64 #s(literal -1/9 binary64) (.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 #s(literal -1/3 binary64) y))
(/.f64 (.f64 (.f64 #s(literal -1/9 binary64) (.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 x x) #s(literal 9 binary64)) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64)) (/.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/81 binary64)))) y))
(/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64)) (/.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/81 binary64)))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64)) (/.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (*.f64 x x) #s(literal 9 binary64)) y))
(/.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64)) (/.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 x x) #s(literal 9 binary64)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 x y))
(/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (.f64 x (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) (.f64 y (/.f64 (.f64 x x) #s(literal 9 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64)) (/.f64 x #s(literal -3 binary64)))) (.f64 y (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/81 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64)) (/.f64 x #s(literal -3 binary64)))) (.f64 y (/.f64 (*.f64 x x) #s(literal 9 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (.f64 x x) #s(literal 9 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64)) (/.f64 x #s(literal -3 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/81 binary64))))))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64)) (/.f64 x #s(literal -3 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 x x) #s(literal 9 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 y (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 9 binary64)) y) (/.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/9 binary64)) (*.f64 x y)) #s(literal -1/3 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 3 binary64) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) y)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (/.f64 x #s(literal -3 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 (/.f64 x #s(literal -3 binary64)) y) (/.f64 (/.f64 x #s(literal -3 binary64)) y)) (.f64 #s(literal 0 binary64) (/.f64 (/.f64 x #s(literal -3 binary64)) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 x #s(literal -3 binary64)) y) (/.f64 (/.f64 x #s(literal -3 binary64)) y))) (+.f64 #s(literal 0 binary64) (/.f64 (/.f64 x #s(literal -3 binary64)) y)))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (/.f64 #s(literal -3 binary64) x)) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64)) y))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1 binary64)))) #s(literal -1/3 binary64))
(/.f64 (.f64 (.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal -1/3 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 x x) #s(literal -1/9 binary64)) y)) (/.f64 x #s(literal -3 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x x) #s(literal 9 binary64)) y)) (/.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64))) (/.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/81 binary64)))) (/.f64 #s(literal -3 binary64) x)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) (/.f64 (*.f64 x x) #s(literal 9 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64)) (/.f64 x #s(literal -3 binary64)))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/81 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64)) (/.f64 x #s(literal -3 binary64)))) (/.f64 (.f64 x x) #s(literal 9 binary64)))
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(.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/81 binary64)) (.f64 x x)) (/.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(.f64 (/.f64 (.f64 x x) (.f64 x #s(literal 1/9 binary64))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/81 binary64)) x))
(.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/81 binary64)) x) (/.f64 (.f64 x x) (*.f64 x #s(literal 1/9 binary64))))
(.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (/.f64 (*.f64 x x) #s(literal 9 binary64)))) #s(literal 1/9 binary64)))
(.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/9 binary64))) (/.f64 (.f64 x (.f64 x (/.f64 (*.f64 x x) #s(literal 9 binary64)))) x))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) x) (/.f64 #s(literal 1/81 binary64) (*.f64 x #s(literal 1/9 binary64))))
(.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x #s(literal 1/9 binary64))) (/.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x)) #s(literal 1/9 binary64))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/9 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) x))
(.f64 (/.f64 #s(literal 1/81 binary64) x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/9 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) #s(literal -1/9 binary64))))
(.f64 #s(literal -1/81 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal -1/9 binary64))))
(.f64 (/.f64 (.f64 x (/.f64 (.f64 x x) #s(literal 9 binary64))) x) (/.f64 (.f64 x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/9 binary64))))
(.f64 (/.f64 (.f64 x (/.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 x x)) (/.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/9 binary64)))
(.f64 (/.f64 (.f64 x (/.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 1/9 binary64)) (/.f64 (.f64 x #s(literal 1/9 binary64)) (*.f64 x x)))
(.f64 (/.f64 (.f64 x (/.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 x #s(literal 1/9 binary64))) (/.f64 (*.f64 x #s(literal 1/9 binary64)) x))
(.f64 (/.f64 (.f64 x (/.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -1/9 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x (/.f64 (.f64 x x) #s(literal 9 binary64)))) x) (/.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/9 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x (/.f64 (.f64 x x) #s(literal 9 binary64)))) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 x (.f64 x (/.f64 (.f64 x x) #s(literal 9 binary64)))) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))
(.f64 (/.f64 (.f64 x (.f64 x (/.f64 (.f64 x x) #s(literal 9 binary64)))) (*.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/9 binary64) x))
(.f64 (/.f64 (.f64 x (.f64 x (/.f64 (.f64 x x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -1/9 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/81 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/9 binary64))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/81 binary64)))))
(.f64 (.f64 (.f64 #s(literal -1/9 binary64) (.f64 x #s(literal 1 binary64))) (.f64 #s(literal -1/9 binary64) (.f64 x #s(literal 1 binary64)))) #s(literal 9 binary64))
(.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) #s(literal 1/9 binary64))
(.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)) (.f64 (/.f64 (.f64 x x) #s(literal -1/3 binary64)) (/.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 1/9 binary64))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/81 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/81 binary64)))))
(.f64 (.f64 (/.f64 x #s(literal -3 binary64)) x) #s(literal -1/3 binary64))
(.f64 (.f64 (/.f64 x #s(literal -3 binary64)) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) x))
(.f64 (.f64 (/.f64 x #s(literal -3 binary64)) #s(literal 1/9 binary64)) (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1/9 binary64))
(.f64 (.f64 (/.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal 1/3 binary64))
(.f64 (.f64 (/.f64 x #s(literal -3 binary64)) (.f64 #s(literal -1/9 binary64) (.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))
(.f64 (.f64 (/.f64 x #s(literal -3 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1 binary64)))) #s(literal -3 binary64))
(.f64 (.f64 (/.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 1 binary64))) #s(literal -1/3 binary64))
(.f64 (.f64 (/.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64))) (/.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/81 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64))) (.f64 (*.f64 x x) #s(literal -1/9 binary64)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (.f64 #s(literal 1/531441 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 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/6561 binary64)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/6561 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/81 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/6561 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/81 binary64)))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64)) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/531441 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 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/6561 binary64)))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/6561 binary64)))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/81 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/81 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/81 binary64))))) (.f64 (*.f64 x x) #s(literal -1/9 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/81 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/81 binary64))))) (/.f64 (.f64 x x) #s(literal 9 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	312
1	18	312
2	28	312
3	33	312
0	33	312

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

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)
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* -1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (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 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)
(* -1/9 (pow x 2))
(.f64 x (.f64 x #s(literal -1/9 binary64)))
(* -1/9 (pow x 2))
(.f64 x (.f64 x #s(literal -1/9 binary64)))
(* -1/9 (pow x 2))
(.f64 x (.f64 x #s(literal -1/9 binary64)))
(* -1/9 (pow x 2))
(.f64 x (.f64 x #s(literal -1/9 binary64)))
(* -1/9 (pow x 2))
(.f64 x (.f64 x #s(literal -1/9 binary64)))
(* -1/9 (pow x 2))
(.f64 x (.f64 x #s(literal -1/9 binary64)))
(* -1/9 (pow x 2))
(.f64 x (.f64 x #s(literal -1/9 binary64)))
(* -1/9 (pow x 2))
(.f64 x (.f64 x #s(literal -1/9 binary64)))
(* -1/9 (pow x 2))
(.f64 x (.f64 x #s(literal -1/9 binary64)))
(* -1/9 (pow x 2))
(.f64 x (.f64 x #s(literal -1/9 binary64)))
(* -1/9 (pow x 2))
(.f64 x (.f64 x #s(literal -1/9 binary64)))
(* -1/9 (pow x 2))
(.f64 x (.f64 x #s(literal -1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(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)

eval140.0ms (4.4%)

Compiler: Compiled 19763 to 3050 computations (84.6% saved)

prune120.0ms (3.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	982	1	983
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	983	6	989

Accuracy

100.0%

Counts

989 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	99.8%	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
▶	99.6%	(/.f64 (.f64 #s(literal -1/9 binary64) (.f64 x #s(literal 1 binary64))) (*.f64 y #s(literal -1/3 binary64)))
✓	99.6%	(/.f64 x (/.f64 y #s(literal 1/3 binary64)))
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Compiler

Compiled 48 to 36 computations (25% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal -1/3 binary64))
✓	cost-diff	128	(*.f64 x #s(literal 1 binary64))
✓	cost-diff	128	(.f64 #s(literal -1/9 binary64) (.f64 x #s(literal 1 binary64)))
✓	cost-diff	256	(/.f64 (.f64 #s(literal -1/9 binary64) (.f64 x #s(literal 1 binary64))) (*.f64 y #s(literal -1/3 binary64)))

Rules

148×	`-lowering-.f32`
148×	`-lowering-.f64`
90×	`associate-l`
84×	`associate-r`
36×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	24	17
2	63	17
3	144	17
4	223	17
5	228	17
0	228	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (* -1/9 (* x 1)) (* y -1/3))
(* -1/9 (* x 1))
-1/9
(* x 1)
x
1
(* y -1/3)
y
-1/3

Outputs
(/ (* -1/9 (* x 1)) (* y -1/3))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* -1/9 (* x 1))
(*.f64 #s(literal -1/9 binary64) x)
-1/9
#s(literal -1/9 binary64)
(* x 1)
x
x
1
#s(literal 1 binary64)
(* y -1/3)
(*.f64 y #s(literal -1/3 binary64))
y
-1/3
#s(literal -1/3 binary64)

localize44.0ms (1.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 1 binary64))
✓	accuracy	99.7%	(/.f64 (.f64 #s(literal -1/9 binary64) (.f64 x #s(literal 1 binary64))) (*.f64 y #s(literal -1/3 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal -1/3 binary64))
✓	accuracy	99.5%	(.f64 #s(literal -1/9 binary64) (.f64 x #s(literal 1 binary64)))

Results

33.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

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

...c/correct-round.rkt:119:19: 10.0ms (54.5% of total)

ival-mult: 5.0ms (27.2% of total)

ival-div: 2.0ms (10.9% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

4 → 60

Calls

Call 1

Inputs
#<alt (/ (* -1/9 (* x 1)) (* y -1/3))>
#<alt (* -1/9 (* x 1))>
#<alt (* x 1)>
#<alt (* y -1/3)>

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 (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -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)>

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* x 1)
0.0ms	x	@	inf	(* -1/9 (* x 1))
0.0ms	x	@	0	(* -1/9 (* x 1))
0.0ms	x	@	-inf	(* -1/9 (* x 1))
0.0ms	y	@	0	(* y -1/3)

rewrite224.0ms (7%)

Algorithm

1×	batch-egg-rewrite

Rules

2892×	`-lowering-.f32`
2892×	`-lowering-.f64`
1466×	`/-lowering-/.f32`
1466×	`/-lowering-/.f64`
1320×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	31	12
2	154	12
3	830	12
4	4444	12
0	8459	12

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 366

Calls

Call 1

Inputs
(/ (* -1/9 (* x 1)) (* y -1/3))
(* -1/9 (* x 1))
(* x 1)
(* y -1/3)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -3 binary64) y) #s(literal 0 binary64)) (/.f64 x (.f64 y #s(literal -3 binary64))))
(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal -3 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 y #s(literal -3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 x (.f64 y #s(literal -3 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y (.f64 x #s(literal 1/3 binary64))) (/.f64 y (.f64 x #s(literal 1/3 binary64))))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/3 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) y))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/3 binary64)))) #s(literal -1/2 binary64)) (.f64 (log.f64 (/.f64 y (.f64 x #s(literal 1/3 binary64)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y #s(literal -3 binary64))) (/.f64 x (.f64 y #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal -3 binary64) y) #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64))))
(neg.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))))
(/.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 y #s(literal -3 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/3 binary64))))
(/.f64 x (*.f64 y #s(literal -3 binary64)))
(/.f64 x (*.f64 (/.f64 y #s(literal 1/9 binary64)) #s(literal -1/3 binary64)))
(/.f64 x (*.f64 (/.f64 y #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))
(/.f64 (*.f64 #s(literal -1/9 binary64) x) (/.f64 y #s(literal -3 binary64)))
(/.f64 #s(literal -1/3 binary64) (/.f64 y x))
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 y #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 #s(literal -1/3 binary64) x))
(/.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (/.f64 x #s(literal -1/3 binary64)) (/.f64 y #s(literal -1/9 binary64)))
(/.f64 (/.f64 x #s(literal -1/3 binary64)) (/.f64 y #s(literal 1/9 binary64)))
(/.f64 (/.f64 #s(literal -3 binary64) y) (/.f64 #s(literal -9 binary64) x))
(/.f64 (/.f64 #s(literal -3 binary64) y) (/.f64 #s(literal 9 binary64) x))
(/.f64 (/.f64 #s(literal -1/9 binary64) (/.f64 y x)) #s(literal -1/3 binary64))
(/.f64 (/.f64 #s(literal -1/9 binary64) (/.f64 y x)) #s(literal 1/3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x #s(literal 1/3 binary64))))
(/.f64 (/.f64 x (/.f64 y #s(literal 1/9 binary64))) #s(literal -1/3 binary64))
(/.f64 (/.f64 x (/.f64 y #s(literal 1/9 binary64))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
(/.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 y #s(literal 1/9 binary64)) #s(literal -1/3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 y #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 y #s(literal -3 binary64)) x))
(/.f64 (/.f64 x y) #s(literal -3 binary64))
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 #s(literal -3 binary64) (/.f64 y (*.f64 #s(literal -1/9 binary64) x)))
(/.f64 #s(literal -3 binary64) (/.f64 (/.f64 y x) #s(literal 1/9 binary64)))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(/.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 y (*.f64 #s(literal -1/9 binary64) x)))
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 y x) #s(literal 1/9 binary64)))
(/.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x #s(literal 1/3 binary64)) (/.f64 y #s(literal -1/9 binary64)))
(/.f64 (/.f64 x #s(literal 1/3 binary64)) (/.f64 y #s(literal 1/9 binary64)))
(/.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 #s(literal -1/3 binary64) x))
(/.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -3 binary64))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 3 binary64))
(/.f64 (*.f64 x #s(literal -1/3 binary64)) y)
(/.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 3 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -3 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal -9 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/729 binary64) (.f64 (.f64 x x) x))) (.f64 (/.f64 y #s(literal -3 binary64)) (.f64 (.f64 x x) #s(literal 1/81 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64))) (.f64 (/.f64 y #s(literal -3 binary64)) (.f64 #s(literal -1/9 binary64) x)))
(/.f64 (/.f64 x (/.f64 y #s(literal -3 binary64))) #s(literal -9 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal -3 binary64)) (.f64 x #s(literal 1/9 binary64)))) (.f64 #s(literal 1/9 binary64) (.f64 y y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal -3 binary64)) x)) (.f64 (/.f64 y #s(literal -3 binary64)) #s(literal -1/9 binary64))) (*.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 (/.f64 y #s(literal -3 binary64)) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y #s(literal -3 binary64))) (.f64 (/.f64 y #s(literal -3 binary64)) x)) (.f64 (/.f64 y #s(literal -3 binary64)) (*.f64 y #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal -3 binary64)) (.f64 #s(literal -1/9 binary64) x))) (.f64 #s(literal 1/9 binary64) (.f64 y y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) x)) (.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 #s(literal -1/9 binary64) y))) (*.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 #s(literal -1/3 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y #s(literal -1/9 binary64))) (.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 x #s(literal -1/3 binary64)))) (*.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 y #s(literal -1/9 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -9 binary64) x)) #s(literal 1 binary64)) (/.f64 y (.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 #s(literal -1/9 binary64) (/.f64 y x)))) (.f64 (/.f64 y #s(literal -3 binary64)) #s(literal -1/3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 #s(literal -1/9 binary64) (/.f64 y x)))) (.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 x (/.f64 y #s(literal 1/9 binary64))))) (.f64 (/.f64 y #s(literal -3 binary64)) #s(literal -1/3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 x (/.f64 y #s(literal 1/9 binary64))))) (.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y x)) (.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 y x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y #s(literal -3 binary64))) (.f64 (/.f64 y #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) x))) (.f64 (/.f64 y #s(literal -3 binary64)) (*.f64 y #s(literal -3 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal -3 binary64)) x)) (.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 1/9 binary64))) (*.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 (/.f64 y #s(literal -3 binary64)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 x y))) (.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y (.f64 #s(literal -1/9 binary64) x))) (.f64 (/.f64 y #s(literal -3 binary64)) #s(literal -3 binary64))) (.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 y (*.f64 #s(literal -1/9 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 3 binary64) x)) (.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 #s(literal 3 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal -3 binary64)) (.f64 x #s(literal -1/3 binary64)))) (*.f64 (/.f64 y #s(literal -3 binary64)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal -3 binary64)) (.f64 x #s(literal -1/3 binary64)))) (*.f64 (/.f64 y #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal -3 binary64)) (.f64 x #s(literal 1/3 binary64)))) (*.f64 (/.f64 y #s(literal -3 binary64)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal -3 binary64)) (.f64 x #s(literal 1/3 binary64)))) (*.f64 (/.f64 y #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/729 binary64) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 x x) #s(literal 1/81 binary64)) (/.f64 y #s(literal -3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/729 binary64) (.f64 (.f64 x x) x))) #s(literal -1 binary64)) (.f64 (.f64 (*.f64 x x) #s(literal 1/81 binary64)) (/.f64 y #s(literal -3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/729 binary64) (.f64 (.f64 x x) x))) #s(literal -3 binary64)) (.f64 (.f64 (*.f64 x x) #s(literal 1/81 binary64)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/729 binary64) (.f64 (.f64 x x) x))) #s(literal -3 binary64)) (.f64 (.f64 (*.f64 x x) #s(literal 1/81 binary64)) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/729 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) y)) (.f64 (.f64 (*.f64 x x) #s(literal 1/81 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/729 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) y)) (.f64 (.f64 (*.f64 x x) #s(literal 1/81 binary64)) #s(literal -1/3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/729 binary64) (.f64 (.f64 x x) x))) #s(literal 3 binary64)) (.f64 (.f64 (*.f64 x x) #s(literal 1/81 binary64)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/729 binary64) (.f64 (.f64 x x) x))) #s(literal 3 binary64)) (.f64 (.f64 (*.f64 x x) #s(literal 1/81 binary64)) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/729 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal -1 binary64) y)) (.f64 (.f64 (*.f64 x x) #s(literal 1/81 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/729 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal -1 binary64) y)) (.f64 (.f64 (*.f64 x x) #s(literal 1/81 binary64)) #s(literal -1/3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal -1/9 binary64) x) (/.f64 y #s(literal -3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64))) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal -1/9 binary64) x) (/.f64 y #s(literal -3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64))) #s(literal -3 binary64)) (.f64 (*.f64 #s(literal -1/9 binary64) x) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64))) #s(literal -3 binary64)) (.f64 (*.f64 #s(literal -1/9 binary64) x) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64))) (/.f64 #s(literal 1 binary64) y)) (.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64))) (/.f64 #s(literal 1 binary64) y)) (.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal -1/3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64))) #s(literal 3 binary64)) (.f64 (*.f64 #s(literal -1/9 binary64) x) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64))) #s(literal 3 binary64)) (.f64 (*.f64 #s(literal -1/9 binary64) x) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64))) (/.f64 #s(literal -1 binary64) y)) (.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64))) (/.f64 #s(literal -1 binary64) y)) (.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal -1/3 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/729 binary64) (.f64 (.f64 x x) x)))) (.f64 (/.f64 y #s(literal -3 binary64)) (.f64 (*.f64 x x) #s(literal 1/81 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64)))) (.f64 (/.f64 y #s(literal -3 binary64)) (*.f64 #s(literal -1/9 binary64) x)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/729 binary64) (.f64 (.f64 x x) x)))) (.f64 (/.f64 y #s(literal -3 binary64)) (.f64 (*.f64 x x) #s(literal 1/81 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64)))) (.f64 (/.f64 y #s(literal -3 binary64)) (*.f64 #s(literal -1/9 binary64) x)))
(/.f64 (.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/729 binary64) (.f64 (.f64 x x) x)))) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (*.f64 x x) #s(literal 1/81 binary64))))
(/.f64 (.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal -1/9 binary64) x)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/729 binary64) (.f64 (.f64 x x) x)))) (.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/81 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) x)))
(/.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/729 binary64) (.f64 (.f64 x x) x)))) (.f64 y (.f64 (*.f64 x x) #s(literal 1/81 binary64))))
(/.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64)))) (.f64 y (*.f64 #s(literal -1/9 binary64) x)))
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(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/9 binary64) (.f64 y y))) (/.f64 y #s(literal -3 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -3 binary64)) #s(literal 0 binary64))
(fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 y #s(literal -3 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 y #s(literal -3 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/3 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/3 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 (.f64 y y) y) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (*.f64 y y))) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/9 binary64) (.f64 y y)) (/.f64 #s(literal -3 binary64) y) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 1/3 binary64) #s(literal 0 binary64))
(neg.f64 (/.f64 y #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 y y)) (.f64 (.f64 (*.f64 y y) y) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal -3 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 y y))))
(/.f64 y #s(literal -3 binary64))
(/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 y #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 y #s(literal -3 binary64)) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) y))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 3 binary64))
(/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal -1/27 binary64)) (.f64 #s(literal 1/9 binary64) (*.f64 y y)))
(/.f64 (.f64 #s(literal 1/9 binary64) (.f64 y y)) (/.f64 y #s(literal -3 binary64)))
(/.f64 (pow.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y #s(literal -3 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -3 binary64) y) #s(literal -1 binary64))
(pow.f64 (.f64 #s(literal 1/9 binary64) (.f64 y y)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y #s(literal -3 binary64)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 y y)) (.f64 (.f64 (*.f64 y y) y) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y #s(literal -3 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 y y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal -3 binary64)))
(*.f64 y #s(literal -1/3 binary64))
(*.f64 y #s(literal 1/3 binary64))
(*.f64 y (exp.f64 (log.f64 #s(literal -1/3 binary64))))
(*.f64 #s(literal -1/3 binary64) y)
(*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 y #s(literal -3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal -3 binary64)))
(*.f64 #s(literal 1/3 binary64) y)
(*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 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 (.f64 (.f64 (.f64 y y) y) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (.f64 y y))))
(.f64 (.f64 #s(literal 1/9 binary64) (*.f64 y y)) (/.f64 #s(literal -3 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 1/3 binary64))
(*.f64 (exp.f64 (log.f64 #s(literal -1/3 binary64))) y)
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 y #s(literal -3 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 1/3 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) (exp.f64 (log.f64 #s(literal 1/3 binary64))))

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	204
1	14	204
2	16	204
3	18	204
4	19	204
0	19	204

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))
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
x
x
x
x
x
x
x
x
x
x
x
x
(* -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)

Outputs
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* 1/3 (/ x y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
x
x
x
x
x
x
x
x
x
x
x
x
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))

eval73.0ms (2.3%)

Compiler: Compiled 4538 to 772 computations (83% saved)

prune72.0ms (2.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	425	1	426
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	427	5	432

Accuracy

100.0%

Counts

432 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓	99.8%	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
	99.2%	(/.f64 (/.f64 #s(literal -1/9 binary64) (/.f64 y x)) #s(literal -1/3 binary64))
✓	99.6%	(/.f64 x (/.f64 y #s(literal 1/3 binary64)))
✓	99.7%	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Compiler

Compiled 95 to 61 computations (35.8% saved)

regimes12.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

Inputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 x (/.f64 y #s(literal 1/3 binary64)))
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal -1/9 binary64) (/.f64 y x)) #s(literal -1/3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
(/.f64 (.f64 #s(literal -1/9 binary64) (.f64 x #s(literal 1 binary64))) (*.f64 y #s(literal -1/3 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 x #s(literal -3 binary64))) y)

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
99.8%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.2%)

Accuracy

Total -0.1b remaining (-73.8%)

Threshold costs -0.1b (-73.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	y
1.0ms	(*.f64 y #s(literal 3 binary64))
1.0ms	x
1.0ms	(/.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)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10

Stop Event

1×

saturated

Calls

Call 1

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

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))

soundness251.0ms (7.9%)

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×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 19 to 12 computations (36.8% saved)

preprocess56.0ms (1.8%)

Remove

(negabs y)

(negabs x)

Compiler

Compiled 108 to 74 computations (31.5% saved)

analyze13.0ms (0.4%)

sample541.0ms (16.9%)

preprocess80.0ms (2.5%)

explain52.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize30.0ms (0.9%)

series5.0ms (0.2%)

rewrite230.0ms (7.2%)

simplify9.0ms (0.3%)

eval63.0ms (2%)

prune52.0ms (1.6%)

simplify7.0ms (0.2%)

localize141.0ms (4.4%)

series5.0ms (0.1%)

rewrite265.0ms (8.3%)

simplify21.0ms (0.6%)

eval101.0ms (3.2%)

prune96.0ms (3%)

simplify154.0ms (4.8%)

localize44.0ms (1.4%)

series2.0ms (0.1%)

rewrite236.0ms (7.4%)

simplify14.0ms (0.4%)

eval140.0ms (4.4%)

prune120.0ms (3.8%)

simplify10.0ms (0.3%)

localize44.0ms (1.4%)

series4.0ms (0.1%)

rewrite224.0ms (7%)

simplify10.0ms (0.3%)

eval73.0ms (2.3%)

prune72.0ms (2.2%)

regimes12.0ms (0.4%)

regimes7.0ms (0.2%)

simplify7.0ms (0.2%)

soundness251.0ms (7.9%)

preprocess56.0ms (1.8%)

end0.0ms (0%)

Profiling