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

analyze1.0s (10.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	199.8%	-99.8%	0%	0%	0%	1
0%	0%	399.6%	-299.6%	0%	0%	0%	2
0%	0%	799.2%	-699.2%	0%	0%	0%	3
0%	0%	1598.4%	-1498.4%	0%	0%	0%	4
0%	0%	3196.9%	-3096.9%	0%	0%	0%	5
0%	0%	6393.8%	-6293.8%	0%	0%	0%	6
0%	0%	12787.5%	-12687.5%	0%	0%	0%	7
0%	0%	25575%	-25475%	0%	0%	0%	8
0%	0%	51150%	-51050%	0%	0%	0%	9
0%	0%	102300%	-102200%	0%	0%	0%	10
0%	0%	204600%	-204500%	0%	0%	0%	11
0%	0%	409200.1%	-409100.1%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample7.2s (72.1%)

Results

5.0s	7526×	body	8192	exit
1.5s	6247×	body	256	valid
623.0ms	2009×	body	256	infinite

Bogosity

preprocess25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

124×	`fma-def`
64×	`div-sub`
50×	`sub-neg`
48×	`associate-/r*`
36×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	34	52
2	69	52
3	118	52
4	154	52
5	194	52
6	254	52
7	352	52
8	359	52

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (*.f64 y 3))
(/.f64 (neg.f64 x) (*.f64 y 3))
(/.f64 x (*.f64 (neg.f64 y) 3))
(/.f64 y (*.f64 x 3))

Outputs
(/.f64 x (*.f64 y 3))
(/.f64 (neg.f64 x) (*.f64 y 3))
(*.f64 -1/3 (/.f64 x y))
(*.f64 (/.f64 x y) -1/3)
(*.f64 x (/.f64 -1/3 y))
(/.f64 x (*.f64 (neg.f64 y) 3))
(/.f64 (neg.f64 x) (*.f64 y 3))
(*.f64 -1/3 (/.f64 x y))
(*.f64 (/.f64 x y) -1/3)
(*.f64 x (/.f64 -1/3 y))
(/.f64 y (*.f64 x 3))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`associate-/r*`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	10	13
2	12	13

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 x (*.f64 y 3))

Outputs
(/.f64 x (*.f64 y 3))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Accurracy

99.7%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 x (*.f64 y 3))
▶	99.7%	(/.f64 x (*.f64 y 3))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize87.0ms (0.9%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 x (*.f64 y 3))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 x (*.f64 y 3))
1.0ms	x	@	inf	(/.f64 x (*.f64 y 3))
1.0ms	x	@	0	(/.f64 x (*.f64 y 3))
1.0ms	y	@	inf	(/.f64 x (*.f64 y 3))
1.0ms	x	@	-inf	(/.f64 x (*.f64 y 3))

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`pow1`
1448×	`add-exp-log`
1448×	`log1p-expm1-u`
1448×	`expm1-log1p-u`
1418×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	13
2	1914	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(/.f64 x (*.f64 y 3))

Outputs
(-.f64 (+.f64 1 (*.f64 x (/.f64 1/3 y))) 1)
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x (/.f64 1/3 y)) 1)
(.f64 1 (.f64 x (/.f64 1/3 y)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1/3 y)))
(.f64 (cbrt.f64 (.f64 x (/.f64 1/3 y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 1/3 y))) 2) (cbrt.f64 (*.f64 x (/.f64 1/3 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1/3 y)))
(.f64 (sqrt.f64 (.f64 x (/.f64 1/3 y))) (sqrt.f64 (*.f64 x (/.f64 1/3 y))))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))
(*.f64 (/.f64 1/3 y) x)
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (.f64 y 3)))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 y 3)))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
(*.f64 (/.f64 1 y) (/.f64 x 3))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 y 3))) (/.f64 x (sqrt.f64 (*.f64 y 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 3) (/.f64 (cbrt.f64 x) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (cbrt.f64 (*.f64 x (/.f64 1/3 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 y 3))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y 3))))
(*.f64 (/.f64 (sqrt.f64 x) 3) (/.f64 (sqrt.f64 x) y))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 3))))
(pow.f64 (*.f64 x (/.f64 1/3 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y))) 2)
(pow.f64 (/.f64 y (/.f64 x 3)) -1)
(neg.f64 (/.f64 x (*.f64 y -3)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/3 y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/3 y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/3 y))))

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1064×	`fma-def`
808×	`log-prod`
734×	`distribute-lft-in`
730×	`log-div`
524×	`cube-div`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	841
1	236	841
2	792	841
3	3637	841

Stop Event

1×	node limit

Counts

61 → 38

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 x (/.f64 1/3 y))) 1)
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x (/.f64 1/3 y)) 1)
(.f64 1 (.f64 x (/.f64 1/3 y)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1/3 y)))
(.f64 (cbrt.f64 (.f64 x (/.f64 1/3 y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 1/3 y))) 2) (cbrt.f64 (*.f64 x (/.f64 1/3 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1/3 y)))
(.f64 (sqrt.f64 (.f64 x (/.f64 1/3 y))) (sqrt.f64 (*.f64 x (/.f64 1/3 y))))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))
(*.f64 (/.f64 1/3 y) x)
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (.f64 y 3)))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 y 3)))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
(*.f64 (/.f64 1 y) (/.f64 x 3))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 y 3))) (/.f64 x (sqrt.f64 (*.f64 y 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 3) (/.f64 (cbrt.f64 x) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (cbrt.f64 (*.f64 x (/.f64 1/3 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 y 3))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y 3))))
(*.f64 (/.f64 (sqrt.f64 x) 3) (/.f64 (sqrt.f64 x) y))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 3))))
(pow.f64 (*.f64 x (/.f64 1/3 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y))) 2)
(pow.f64 (/.f64 y (/.f64 x 3)) -1)
(neg.f64 (/.f64 x (*.f64 y -3)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/3 y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/3 y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/3 y))))

Outputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 x (/.f64 1/3 y))) 1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 x (/.f64 1/3 y)) 1)
(*.f64 1/3 (/.f64 x y))
(.f64 1 (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x y))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x y))
(.f64 (cbrt.f64 (.f64 x (/.f64 1/3 y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) 2))
(*.f64 1/3 (/.f64 x y))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 1/3 y))) 2) (cbrt.f64 (*.f64 x (/.f64 1/3 y))))
(*.f64 1/3 (/.f64 x y))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x y))
(.f64 (sqrt.f64 (.f64 x (/.f64 1/3 y))) (sqrt.f64 (*.f64 x (/.f64 1/3 y))))
(*.f64 1/3 (/.f64 x y))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (.f64 y 3)))
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 y 3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1 y) (/.f64 x 3))
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 1 (sqrt.f64 (.f64 y 3))) (/.f64 x (sqrt.f64 (*.f64 y 3))))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) 3))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 3) (/.f64 (cbrt.f64 x) y))
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (cbrt.f64 (*.f64 x (/.f64 1/3 y))))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 y 3))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y 3))))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 x) 3) (/.f64 (sqrt.f64 x) y))
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 3))))
(*.f64 1/3 (/.f64 x y))
(pow.f64 (*.f64 x (/.f64 1/3 y)) 1)
(*.f64 1/3 (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) 3)
(*.f64 1/3 (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3) 1/3)
(*.f64 1/3 (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y))) 2)
(*.f64 1/3 (/.f64 x y))
(pow.f64 (/.f64 y (/.f64 x 3)) -1)
(*.f64 1/3 (/.f64 x y))
(neg.f64 (/.f64 x (*.f64 y -3)))
(*.f64 1/3 (/.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2))
(*.f64 1/3 (/.f64 x y))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3))
(*.f64 1/3 (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/3 y))))
(*.f64 1/3 (/.f64 x y))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/3 y))))
(*.f64 1/3 (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/3 y))))
(*.f64 1/3 (/.f64 x y))

eval17.0ms (0.2%)

Compiler: Compiled 373 to 249 computations (33.2% saved)

prune20.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	32	6	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	7	39

Accurracy

100.0%

Counts

39 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(pow.f64 (/.f64 y (/.f64 x 3)) -1)
✓	99.7%	(/.f64 x (*.f64 y 3))
▶	47.7%	(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
	47.7%	(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 y 3)))
▶	98.9%	(*.f64 (/.f64 x y) 1/3)
▶	99.6%	(*.f64 (/.f64 1 y) (/.f64 x 3))
▶	99.5%	(*.f64 (/.f64 1/3 y) x)
▶	99.3%	(pow.f64 (/.f64 y (/.f64 x 3)) -1)
✓	99.7%	(/.f64 x (*.f64 y 3))
▶	47.7%	(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
	47.7%	(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 y 3)))
▶	98.9%	(*.f64 (/.f64 x y) 1/3)
▶	99.6%	(*.f64 (/.f64 1 y) (/.f64 x 3))
▶	99.5%	(*.f64 (/.f64 1/3 y) x)

Compiler

Compiled 238 to 170 computations (28.6% saved)

localize684.0ms (6.8%)

Compiler: Compiled 83 to 44 computations (47% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune5.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	5	5
Done	1	1
Total	7	7

Accurracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(pow.f64 (/.f64 y (/.f64 x 3)) -1)
✓	99.7%	(/.f64 x (*.f64 y 3))
✓	47.7%	(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
▶	47.7%	(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 y 3)))
✓	98.9%	(*.f64 (/.f64 x y) 1/3)
✓	99.6%	(*.f64 (/.f64 1 y) (/.f64 x 3))
✓	99.5%	(*.f64 (/.f64 1/3 y) x)
✓	99.3%	(pow.f64 (/.f64 y (/.f64 x 3)) -1)
✓	99.7%	(/.f64 x (*.f64 y 3))
✓	47.7%	(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
▶	47.7%	(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 y 3)))
✓	98.9%	(*.f64 (/.f64 x y) 1/3)
✓	99.6%	(*.f64 (/.f64 1 y) (/.f64 x 3))
✓	99.5%	(*.f64 (/.f64 1/3 y) x)

Compiler

Compiled 126 to 90 computations (28.6% saved)

localize221.0ms (2.2%)

Compiler: Compiled 33 to 19 computations (42.4% saved)

eval1.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune21.0ms (0.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	6	6
Total	7	7

Accurracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(pow.f64 (/.f64 y (/.f64 x 3)) -1)
✓	99.7%	(/.f64 x (*.f64 y 3))
✓	47.7%	(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
✓	47.7%	(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 y 3)))
✓	98.9%	(*.f64 (/.f64 x y) 1/3)
✓	99.6%	(*.f64 (/.f64 1 y) (/.f64 x 3))
✓	99.5%	(*.f64 (/.f64 1/3 y) x)

Compiler

Compiled 114 to 77 computations (32.5% saved)

regimes105.0ms (1%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 1/3 y) x)
(*.f64 (/.f64 x y) 1/3)
(/.f64 x (*.f64 y 3))
(*.f64 (/.f64 1 y) (/.f64 x 3))
(pow.f64 (/.f64 y (/.f64 x 3)) -1)
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 y 3)))

Outputs
(/.f64 x (*.f64 y 3))

Calls

4 calls:

29.0ms	(/.f64 x (*.f64 y 3))
26.0ms	(*.f64 y 3)
24.0ms	y
20.0ms	x

Results

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

Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes48.0ms (0.5%)

Accuracy

Total -0.5b remaining (-171.5%)

Threshold costs -0.5b (-171.5%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 1/3 y) x)
(*.f64 (/.f64 x y) 1/3)

Outputs
(*.f64 (/.f64 1/3 y) x)

Calls

2 calls:

28.0ms	x
17.0ms	y

Results

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	12	26

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (*.f64 y 3))
(*.f64 (/.f64 1/3 y) x)

Outputs
(/.f64 x (*.f64 y 3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))

Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness205.0ms (2%)

Rules

1560×	`pow1`
1448×	`add-exp-log`
1448×	`log1p-expm1-u`
1448×	`expm1-log1p-u`
1418×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	13
2	1914	13

Stop Event

1×	node limit

Compiler

Compiled 40 to 28 computations (30% saved)

end0.0ms (0%)

preprocess134.0ms (1.3%)

Compiler: Compiled 52 to 36 computations (30.8% saved)

analyze1.0s (10.4%)

sample7.2s (72.1%)

preprocess25.0ms (0.2%)

simplify3.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

localize87.0ms (0.9%)

series6.0ms (0.1%)

rewrite80.0ms (0.8%)

simplify86.0ms (0.9%)

eval17.0ms (0.2%)

prune20.0ms (0.2%)

localize684.0ms (6.8%)

eval0.0ms (0%)

prune5.0ms (0.1%)

localize221.0ms (2.2%)

eval1.0ms (0%)

prune21.0ms (0.2%)

regimes105.0ms (1%)

regimes48.0ms (0.5%)

simplify14.0ms (0.1%)

soundness205.0ms (2%)

end0.0ms (0%)

preprocess134.0ms (1.3%)

Profiling