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

analyze12.0ms (0.6%)

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 (69.8% of total)

ival-div: 1.0ms (34.9% of total)

const: 0.0ms (0% of total)

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

sample563.0ms (28.9%)

Results

377.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-div: 80.0ms (48.6% of total)

ival-mult: 72.0ms (43.7% of total)

const: 10.0ms (6.1% of total)

backward-pass: 3.0ms (1.8% of total)

Bogosity

preprocess73.0ms (3.8%)

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)

explain45.0ms (2.3%)

FPErrors

Click to see full error table

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

Results

26.0ms

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 (45.1% of total)

ival-mult: 4.0ms (45.1% of total)

const: 1.0ms (11.3% 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
▶	99.0%	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize30.0ms (1.5%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	99.0%	(/.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: 5.0ms

ival-div: 2.0ms (44.2% of total)

ival-mult: 2.0ms (44.2% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Counts

2 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite200.0ms (10.2%)

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	2337	8
0	9091	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 (/.f64 y #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) x) (/.f64 x (/.f64 y #s(literal 1/3 binary64))))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(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 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) y))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) x)) #s(literal -1/2 binary64)) (.f64 (log.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) x)) #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 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 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 x (/.f64 y #s(literal 1/3 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 #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 #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 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 #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))))
(-.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 (/.f64 y #s(literal 1/3 binary64)) x)) #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 (/.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 (/.f64 y #s(literal 1/3 binary64)) 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)) (/.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 (-.f64 #s(literal 0 binary64) 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))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 x y)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))))
(/.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 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 x x) (/.f64 #s(literal 1/3 binary64) y)) (-.f64 #s(literal 0 binary64) (.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) 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) (/.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 x (/.f64 #s(literal 1/3 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.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 y) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) 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 x (/.f64 y #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64))) (/.f64 (/.f64 y #s(literal 1/3 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal -1/3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))) (/.f64 y #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 y #s(literal 1/3 binary64)))))
(/.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 y (-.f64 #s(literal 0 binary64) 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)))
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(/.f64 (/.f64 y #s(literal 1/3 binary64)) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.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 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 9 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))))

simplify10.0ms (0.5%)

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))

eval44.0ms (2.3%)

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

prune51.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	422	3	425
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	422	4	426

Accuracy

100.0%

Counts

426 → 4

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)
▶	98.9%	(/.f64 x (/.f64 y #s(literal 1/3 binary64)))
✓	99.0%	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify30.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	15	33
2	18	33
3	22	33
4	23	33
0	23	33

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize99.0ms (5.1%)

Localize:

Found 6 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	99.9%	(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓	accuracy	99.7%	(/.f64 y #s(literal 1/3 binary64))
✓	accuracy	99.2%	(/.f64 x (/.f64 y #s(literal 1/3 binary64)))

Results

64.0ms	80×	5	exit
21.0ms	176×	0	valid

Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-div: 19.0ms (43.3% of total)

...c/correct-round.rkt:119:19: 19.0ms (43.3% of total)

backward-pass: 5.0ms (11.4% of total)

const: 0.0ms (0% of total)

series3.0ms (0.2%)

Counts

6 → 120

Calls

Call 1

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

30 calls:

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

rewrite278.0ms (14.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2464×	`-lowering-.f32`
2464×	`-lowering-.f64`
1940×	`/-lowering-/.f32`
1940×	`/-lowering-/.f64`
1654×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	50	24
2	239	24
3	941	24
4	4781	24
0	8103	24

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 646

Calls

Call 1

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

simplify17.0ms (0.9%)

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	8	504
1	12	504
2	14	504
3	15	504
0	15	504

Stop Event

1×	iter limit
1×	saturated

Counts

120 → 120

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))
(* 1/3 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)
(* 1/3 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)

eval100.0ms (5.1%)

Compiler: Compiled 8685 to 842 computations (90.3% saved)

prune47.0ms (2.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	766	0	766
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	766	4	770

Accuracy

100.0%

Counts

770 → 4

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)
✓	98.9%	(/.f64 x (/.f64 y #s(literal 1/3 binary64)))
✓	99.0%	(/.f64 x (*.f64 y #s(literal 3 binary64)))

Compiler

Compiled 50 to 32 computations (36% saved)

regimes34.0ms (1.7%)

Counts

4 → 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))

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

Calls

4 calls:

28.0ms	(/.f64 x (*.f64 y #s(literal 3 binary64)))
2.0ms	(*.f64 y #s(literal 3 binary64))
2.0ms	y
2.0ms	x

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)

regimes6.0ms (0.3%)

Accuracy

Total -0.1b remaining (-20.4%)

Threshold costs -0.1b (-20.4%)

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:

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

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`y`
99.0%	1	`(/.f64 x (*.f64 y #s(literal 3 binary64)))`
99.0%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify7.0ms (0.4%)

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))

soundness240.0ms (12.3%)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	16	8
2	79	8
3	399	8
4	2337	8
0	9091	8

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 19 to 12 computations (36.8% saved)

preprocess51.0ms (2.6%)

Remove

(negabs y)

(negabs x)

Compiler

Compiled 108 to 74 computations (31.5% saved)

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

analyze12.0ms (0.6%)

sample563.0ms (28.9%)

preprocess73.0ms (3.8%)

explain45.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.2%)

localize30.0ms (1.5%)

series5.0ms (0.2%)

rewrite200.0ms (10.2%)

simplify10.0ms (0.5%)

eval44.0ms (2.3%)

prune51.0ms (2.6%)

simplify30.0ms (1.5%)

localize99.0ms (5.1%)

series3.0ms (0.2%)

rewrite278.0ms (14.2%)

simplify17.0ms (0.9%)

eval100.0ms (5.1%)

prune47.0ms (2.4%)

regimes34.0ms (1.7%)

regimes6.0ms (0.3%)

simplify7.0ms (0.4%)

soundness240.0ms (12.3%)

preprocess51.0ms (2.6%)

end0.0ms (0%)

Profiling