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

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.0s (57.2%)

Results

924.0ms	7215×	body	256	valid
81.0ms	1041×	body	256	infinite

Bogosity

preprocess121.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

256×	`fma-def`
80×	`distribute-lft-neg-in`
64×	`associate-r`
58×	`distribute-rgt-neg-in`
48×	`distribute-lft-in`

Problems

256×

No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	141
1	50	133
2	118	133
3	290	133
4	406	133
5	520	133

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 x 27) y)
(.f64 (.f64 x 27) y)
(.f64 (.f64 (neg.f64 x) 27) y)
(.f64 (.f64 x 27) (neg.f64 y))
(neg.f64 (.f64 (.f64 (neg.f64 x) 27) y))
(neg.f64 (.f64 (.f64 x 27) (neg.f64 y)))
(.f64 (.f64 y 27) x)

Outputs
(.f64 (.f64 x 27) y)
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 (.f64 x 27) y)
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 (.f64 (neg.f64 x) 27) y)
(.f64 y (.f64 27 (neg.f64 x)))
(.f64 x (.f64 -27 y))
(.f64 y (.f64 x -27))
(.f64 (.f64 x 27) (neg.f64 y))
(.f64 y (.f64 27 (neg.f64 x)))
(.f64 x (.f64 -27 y))
(.f64 y (.f64 x -27))
(neg.f64 (.f64 (.f64 (neg.f64 x) 27) y))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 (.f64 x 27) y)
(neg.f64 (.f64 (.f64 x 27) (neg.f64 y)))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 (.f64 x 27) y)
(.f64 (.f64 y 27) x)
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 (.f64 x 27) y)

Compiler

Compiled 21 to 14 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 (.f64 x 27) y)
▶	99.8%	(.f64 x (.f64 27 y))
▶	99.7%	(.f64 27 (.f64 x y))
▶	99.7%	(.f64 (.f64 x 27) y)
▶	99.8%	(.f64 x (.f64 27 y))
▶	99.7%	(.f64 27 (.f64 x y))

Compiler

Compiled 42 to 30 computations (28.6% saved)

localize155.0ms (8.6%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.7%	(.f64 (.f64 x 27) y)
✓	99.8%	(.f64 x (.f64 27 y))
✓	99.7%	(.f64 27 (.f64 x y))

Compiler

Compiled 36 to 19 computations (47.2% saved)

series7.0ms (0.4%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(.f64 27 (.f64 x y))
1.0ms	y	@	0	(.f64 27 (.f64 x y))
1.0ms	x	@	inf	(.f64 27 (.f64 x y))
1.0ms	x	@	0	(.f64 27 (.f64 x y))
0.0ms	x	@	-inf	(.f64 27 (.f64 x y))

rewrite272.0ms (15.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1120×	`unpow-prod-down`
768×	`log-prod`
600×	`prod-exp`
584×	`pow-prod-down`
553×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	171	57
2	1572	57

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 (.f64 x 27) y)

Outputs
(+.f64 0 (.f64 y (.f64 27 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 27 x)))) 1)
(pow.f64 (.f64 y (.f64 27 x)) 1)
(pow.f64 (cbrt.f64 (.f64 y (.f64 27 x))) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 27 x)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 y (.f64 27 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 y (.f64 27 x))) 2)
(sqrt.f64 (pow.f64 (.f64 y (.f64 27 x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))
(cbrt.f64 (pow.f64 (.f64 y (.f64 27 x)) 3))
(expm1.f64 (log1p.f64 (.f64 y (.f64 27 x))))
(exp.f64 (log.f64 (.f64 y (.f64 27 x))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 27 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 y (.f64 27 x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 27 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 y (.f64 27 x)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 27 x)))) 2))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (.f64 27 y)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 27 y))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (*.f64 27 y)) 1)))
(exp.f64 (+.f64 (log.f64 y) (.f64 (log.f64 (.f64 27 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (log.f64 (.f64 27 x))))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (*.f64 27 x)) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 27 y)) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 27 x)) (.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 x)) 1) (log.f64 y)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 x)) 1) (*.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (.f64 y (.f64 27 x))))
(+.f64 0 (.f64 y (.f64 27 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 27 x)))) 1)
(pow.f64 (.f64 y (.f64 27 x)) 1)
(pow.f64 (cbrt.f64 (.f64 y (.f64 27 x))) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 27 x)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 y (.f64 27 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 y (.f64 27 x))) 2)
(sqrt.f64 (pow.f64 (.f64 y (.f64 27 x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))
(cbrt.f64 (pow.f64 (.f64 y (.f64 27 x)) 3))
(expm1.f64 (log1p.f64 (.f64 y (.f64 27 x))))
(exp.f64 (log.f64 (.f64 y (.f64 27 x))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 27 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 y (.f64 27 x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 27 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 y (.f64 27 x)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 27 x)))) 2))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (.f64 27 y)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 27 y))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (*.f64 27 y)) 1)))
(exp.f64 (+.f64 (log.f64 y) (.f64 (log.f64 (.f64 27 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (log.f64 (.f64 27 x))))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (*.f64 27 x)) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 27 y)) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 27 x)) (.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 x)) 1) (log.f64 y)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 x)) 1) (*.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (.f64 y (.f64 27 x))))
(+.f64 0 (.f64 y (.f64 27 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 27 x)))) 1)
(pow.f64 (.f64 y (.f64 27 x)) 1)
(pow.f64 (cbrt.f64 (.f64 y (.f64 27 x))) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 27 x)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 y (.f64 27 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 y (.f64 27 x))) 2)
(sqrt.f64 (pow.f64 (.f64 y (.f64 27 x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))
(cbrt.f64 (pow.f64 (.f64 y (.f64 27 x)) 3))
(expm1.f64 (log1p.f64 (.f64 y (.f64 27 x))))
(exp.f64 (log.f64 (.f64 y (.f64 27 x))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 27 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 y (.f64 27 x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 27 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 y (.f64 27 x)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 27 x)))) 2))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (.f64 27 y)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 27 y))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (*.f64 27 y)) 1)))
(exp.f64 (+.f64 (log.f64 y) (.f64 (log.f64 (.f64 27 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (log.f64 (.f64 27 x))))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (*.f64 27 x)) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 27 y)) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 27 x)) (.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 x)) 1) (log.f64 y)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 x)) 1) (*.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (.f64 y (.f64 27 x))))

simplify72.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1248×	`log-prod`
1200×	`associate-r`
1094×	`associate-l`
982×	`associate-+r+`
926×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	2898
1	217	2790
2	585	2790
3	4327	2790

Stop Event

1×	node limit

Counts

144 → 38

Calls

Call 1

Inputs
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(+.f64 0 (.f64 y (.f64 27 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 27 x)))) 1)
(pow.f64 (.f64 y (.f64 27 x)) 1)
(pow.f64 (cbrt.f64 (.f64 y (.f64 27 x))) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 27 x)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 y (.f64 27 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 y (.f64 27 x))) 2)
(sqrt.f64 (pow.f64 (.f64 y (.f64 27 x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))
(cbrt.f64 (pow.f64 (.f64 y (.f64 27 x)) 3))
(expm1.f64 (log1p.f64 (.f64 y (.f64 27 x))))
(exp.f64 (log.f64 (.f64 y (.f64 27 x))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 27 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 y (.f64 27 x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 27 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 y (.f64 27 x)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 27 x)))) 2))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (.f64 27 y)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 27 y))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (*.f64 27 y)) 1)))
(exp.f64 (+.f64 (log.f64 y) (.f64 (log.f64 (.f64 27 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (log.f64 (.f64 27 x))))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (*.f64 27 x)) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 27 y)) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 27 x)) (.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 x)) 1) (log.f64 y)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 x)) 1) (*.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (.f64 y (.f64 27 x))))
(+.f64 0 (.f64 y (.f64 27 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 27 x)))) 1)
(pow.f64 (.f64 y (.f64 27 x)) 1)
(pow.f64 (cbrt.f64 (.f64 y (.f64 27 x))) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 27 x)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 y (.f64 27 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 y (.f64 27 x))) 2)
(sqrt.f64 (pow.f64 (.f64 y (.f64 27 x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))
(cbrt.f64 (pow.f64 (.f64 y (.f64 27 x)) 3))
(expm1.f64 (log1p.f64 (.f64 y (.f64 27 x))))
(exp.f64 (log.f64 (.f64 y (.f64 27 x))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 27 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 y (.f64 27 x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 27 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 y (.f64 27 x)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 27 x)))) 2))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (.f64 27 y)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 27 y))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (*.f64 27 y)) 1)))
(exp.f64 (+.f64 (log.f64 y) (.f64 (log.f64 (.f64 27 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (log.f64 (.f64 27 x))))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (*.f64 27 x)) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 27 y)) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 27 x)) (.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 x)) 1) (log.f64 y)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 x)) 1) (*.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (.f64 y (.f64 27 x))))
(+.f64 0 (.f64 y (.f64 27 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 27 x)))) 1)
(pow.f64 (.f64 y (.f64 27 x)) 1)
(pow.f64 (cbrt.f64 (.f64 y (.f64 27 x))) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 27 x)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 y (.f64 27 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 y (.f64 27 x))) 2)
(sqrt.f64 (pow.f64 (.f64 y (.f64 27 x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))
(cbrt.f64 (pow.f64 (.f64 y (.f64 27 x)) 3))
(expm1.f64 (log1p.f64 (.f64 y (.f64 27 x))))
(exp.f64 (log.f64 (.f64 y (.f64 27 x))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 27 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 y (.f64 27 x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 27 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 y (.f64 27 x)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 27 x)))) 2))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (.f64 27 y)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 27 y))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (*.f64 27 y)) 1)))
(exp.f64 (+.f64 (log.f64 y) (.f64 (log.f64 (.f64 27 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (log.f64 (.f64 27 x))))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (*.f64 27 x)) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 27 y)) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 27 x)) (.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 x)) 1) (log.f64 y)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 x)) 1) (*.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (.f64 y (.f64 27 x))))

Outputs
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(.f64 27 (.f64 x y))
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(expm1.f64 (log1p.f64 (.f64 y (.f64 27 x))))
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(exp.f64 (log.f64 (.f64 y (.f64 27 x))))
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(.f64 27 (.f64 x y))
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(exp.f64 (+.f64 (log.f64 (.f64 27 y)) (.f64 (log.f64 x) 1)))
(.f64 27 (.f64 x y))
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(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (log.f64 x)))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (*.f64 (log.f64 x) 1)))
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(.f64 y (.f64 27 x))
(exp.f64 (+.f64 (log.f64 (.f64 27 x)) (.f64 (log.f64 y) 1)))
(.f64 27 (.f64 x y))
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(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 x)) 1) (log.f64 y)))
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(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 x)) 1) (*.f64 (log.f64 y) 1)))
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(log1p.f64 (expm1.f64 (.f64 y (.f64 27 x))))
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(+.f64 0 (.f64 y (.f64 27 x)))
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(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 27) y))))
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(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 y (.f64 27 x))) 1) 1))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 27 x)))) 3))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 y (.f64 27 x)))) 1/3))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 27 x)))) 2))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (.f64 27 y)) 1)))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 27 y))))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (*.f64 27 y)) 1)))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(exp.f64 (+.f64 (log.f64 y) (.f64 (log.f64 (.f64 27 x)) 1)))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (log.f64 (.f64 27 x))))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (*.f64 27 x)) 1)))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(exp.f64 (+.f64 (log.f64 (.f64 27 y)) (.f64 (log.f64 x) 1)))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (log.f64 x)))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (*.f64 (log.f64 x) 1)))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(exp.f64 (+.f64 (log.f64 (.f64 27 x)) (.f64 (log.f64 y) 1)))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 x)) 1) (log.f64 y)))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 x)) 1) (*.f64 (log.f64 y) 1)))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(log1p.f64 (expm1.f64 (.f64 y (.f64 27 x))))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))

eval23.0ms (1.3%)

Compiler: Compiled 372 to 272 computations (26.9% saved)

prune7.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	38	3	41

Accuracy

100.0%

Counts

41 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 x 27) y)
✓	99.8%	(.f64 x (.f64 27 y))
✓	99.7%	(.f64 27 (.f64 x y))

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes15.0ms (0.9%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 (.f64 x 27) y)

Outputs
(.f64 x (.f64 27 y))

Calls

4 calls:

4.0ms	(.f64 (.f64 x 27) y)
4.0ms	(*.f64 x 27)
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(.f64 (.f64 x 27) y)`
99.8%	1	`(*.f64 x 27)`

Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes7.0ms (0.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 27 (.f64 x y))

Outputs
(.f64 27 (.f64 x y))

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	16	38

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))

Outputs
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))

Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness55.0ms (3.1%)

Rules

256×	`fma-def`
256×	`fma-def`
80×	`distribute-lft-neg-in`
80×	`distribute-lft-neg-in`
64×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	141
1	50	133
2	118	133
3	290	133
4	406	133
5	520	133
0	20	141
1	50	133
2	118	133
3	290	133
4	406	133
5	520	133

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 29 to 19 computations (34.5% saved)

end0.0ms (0%)

preprocess27.0ms (1.5%)

Compiler: Compiled 38 to 26 computations (31.6% saved)

Iter	Nodes	Cost
0	20	141
1	50	133
2	118	133
3	290	133
4	406	133
5	520	133
0	20	141
1	50	133
2	118	133
3	290	133
4	406	133
5	520	133

Iter	Nodes	Cost
0	20	141
1	50	133
2	118	133
3	290	133
4	406	133
5	520	133
0	20	141
1	50	133
2	118	133
3	290	133
4	406	133
5	520	133

analyze0.0ms (0%)

sample1.0s (57.2%)

preprocess121.0ms (6.8%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize155.0ms (8.6%)

series7.0ms (0.4%)

rewrite272.0ms (15.2%)

simplify72.0ms (4%)

eval23.0ms (1.3%)

prune7.0ms (0.4%)

regimes15.0ms (0.9%)

regimes7.0ms (0.4%)

simplify3.0ms (0.2%)

soundness55.0ms (3.1%)

end0.0ms (0%)

preprocess27.0ms (1.5%)

Profiling

Iter	Nodes	Cost
0	20	141
1	50	133
2	118	133
3	290	133
4	406	133
5	520	133
0	20	141
1	50	133
2	118	133
3	290	133
4	406	133
5	520	133