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)

sample2.1s (58.1%)

Results

1.7s	7258×	body	256	valid
365.0ms	998×	body	256	infinite

Bogosity

preprocess38.0ms (1%)

Algorithm

1×	egg-herbie

Rules

248×	`fma-def`
36×	`distribute-lft-in`
32×	`sub-neg`
30×	`associate-r`
24×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	73
1	35	65
2	72	65
3	124	65
4	155	65
5	202	65
6	251	65
7	340	65

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

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

Symmetry

(sort x y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval1.0ms (0%)

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

prune7.0ms (0.2%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 (.f64 x 27) y)
▶	99.3%	(.f64 x (.f64 27 y))
▶	99.7%	(.f64 (.f64 x 27) y)
▶	99.3%	(.f64 x (.f64 27 y))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize98.0ms (2.6%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.7%	(.f64 (.f64 x 27) y)
✓	99.3%	(.f64 x (.f64 27 y))

Compiler

Compiled 25 to 15 computations (40% saved)

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(.f64 x (.f64 27 y))
1.0ms	x	@	0	(.f64 x (.f64 27 y))
1.0ms	x	@	inf	(.f64 x (.f64 27 y))
1.0ms	y	@	inf	(.f64 x (.f64 27 y))
0.0ms	x	@	-inf	(.f64 x (.f64 27 y))

rewrite105.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1496×	`pow1`
1374×	`add-exp-log`
1374×	`log1p-expm1-u`
1374×	`expm1-log1p-u`
1344×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	181	26
2	1903	26

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

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

simplify99.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1198×	`distribute-rgt-in`
1196×	`log-prod`
1184×	`distribute-lft-in`
916×	`associate-r`
868×	`exp-sum`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	910
1	86	910
2	340	910
3	2473	910
4	7186	910

Stop Event

1×	node limit

Counts

70 → 12

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

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

eval5.0ms (0.1%)

Compiler: Compiled 92 to 68 computations (26.1% saved)

prune8.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	10	2	12
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	10	4	14

Accuracy

100.0%

Counts

14 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.3%	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
✓	99.7%	(.f64 (.f64 x 27) y)
✓	99.3%	(.f64 x (.f64 27 y))
▶	99.5%	(.f64 27 (.f64 x y))
▶	53.3%	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
✓	99.7%	(.f64 (.f64 x 27) y)
✓	99.3%	(.f64 x (.f64 27 y))
▶	99.5%	(.f64 27 (.f64 x y))

Compiler

Compiled 62 to 46 computations (25.8% saved)

localize117.0ms (3.2%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.8%	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
	99.5%	(.f64 x (.f64 27 y))
✓	89.3%	(sqrt.f64 (.f64 x (.f64 27 y)))
✓	99.8%	(.f64 27 (.f64 x y))

Compiler

Compiled 40 to 24 computations (40% saved)

series18.0ms (0.5%)

Counts

3 → 0

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
2.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
1.0ms	x	@	inf	(sqrt.f64 (.f64 x (.f64 27 y)))

rewrite108.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1084×	`log-prod`
806×	`exp-prod`
772×	`prod-exp`
700×	`pow-prod-down`
512×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	267	43
2	2865	43

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

Inputs
(.f64 27 (.f64 x y))
(sqrt.f64 (.f64 x (.f64 27 y)))
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)

Outputs
(+.f64 0 (.f64 27 (.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 27 (.f64 x y)))) 1)
(pow.f64 (.f64 27 (.f64 x y)) 1)
(pow.f64 (sqrt.f64 (.f64 27 (.f64 x y))) 2)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/6) 6)
(pow.f64 (cbrt.f64 (.f64 27 (.f64 x y))) 3)
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 3/2) 2/3)
(pow.f64 (.f64 (pow.f64 (.f64 x y) 2) 729) 1/2)
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 3) 1/3)
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/4) 4)
(pow.f64 (exp.f64 1) (log.f64 (.f64 27 (.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 27 (.f64 x y)))) 2)) (cbrt.f64 (log.f64 (.f64 27 (.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 27 (.f64 x y))))) (sqrt.f64 (log.f64 (.f64 27 (.f64 x y)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 2) 729))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 27 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 27 (.f64 x y)))))
(cbrt.f64 (pow.f64 (.f64 27 (.f64 x y)) 3))
(expm1.f64 (log1p.f64 (.f64 27 (.f64 x y))))
(exp.f64 (log.f64 (.f64 27 (.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 27 (*.f64 x y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 27 (*.f64 x y)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 x y) 2) 729)) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 27 (.f64 x y)))) 1/3))
(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 (.f64 (log.f64 y) 1) (log.f64 (.f64 27 x))))
(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 (sqrt.f64 (.f64 27 (.f64 x y)))) (.f64 (log.f64 (.f64 27 (*.f64 x y))) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) (.f64 (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y))))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y))))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 27 x)) (.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (.f64 27 (.f64 x y))))
(+.f64 0 (sqrt.f64 (.f64 27 (.f64 x y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 27 (.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 27 (.f64 x y))))) 1)
(.f64 (sqrt.f64 (.f64 27 (*.f64 x y))) 1)
(.f64 1 (sqrt.f64 (.f64 27 (*.f64 x y))))
(.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/6) (cbrt.f64 (.f64 27 (*.f64 x y))))
(.f64 (cbrt.f64 (.f64 27 (.f64 x y))) (pow.f64 (.f64 27 (*.f64 x y)) 1/6))
(.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/4) (pow.f64 (.f64 27 (*.f64 x y)) 1/4))
(.f64 (sqrt.f64 (.f64 27 y)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 27))
(.f64 (sqrt.f64 27) (sqrt.f64 (.f64 x y)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 27 y)))
(.f64 (sqrt.f64 (.f64 27 x)) (sqrt.f64 y))
(pow.f64 (.f64 27 (.f64 x y)) 1/2)
(pow.f64 (sqrt.f64 (.f64 27 (.f64 x y))) 1)
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/6) 3)
(pow.f64 (cbrt.f64 (.f64 27 (.f64 x y))) 3/2)
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 3/2) 1/3)
(pow.f64 (.f64 (pow.f64 (.f64 x y) 2) 729) 1/4)
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 3) 1/6)
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/4) 2)
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))
(pow.f64 (exp.f64 1/2) (log.f64 (.f64 27 (.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))) (sqrt.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y))))))
(fabs.f64 (sqrt.f64 (.f64 27 (.f64 x y))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 27 (.f64 x y))))))
(cbrt.f64 (pow.f64 (.f64 27 (.f64 x y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))
(exp.f64 (.f64 (log.f64 (.f64 27 (*.f64 x y))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 27 (*.f64 x y)) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (.f64 27 (.f64 x y)))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (.f64 27 (.f64 x y)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))
(+.f64 0 (.f64 27 (.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 27 (.f64 x y)))) 1)
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(.f64 (.f64 x y) 27)
(.f64 (.f64 27 y) x)
(.f64 (.f64 27 (*.f64 x y)) 1)
(.f64 (sqrt.f64 (.f64 27 (.f64 x y))) (sqrt.f64 (.f64 27 (*.f64 x y))))
(.f64 1 (.f64 27 (*.f64 x y)))
(.f64 (pow.f64 (cbrt.f64 (.f64 27 y)) 2) (.f64 (cbrt.f64 (.f64 27 y)) x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) 27))
(.f64 (cbrt.f64 (.f64 27 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 27 (*.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 27 (.f64 x y))) 2) (cbrt.f64 (.f64 27 (*.f64 x y))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 27 y)))
(.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/4) (pow.f64 (.f64 27 (*.f64 x y)) 3/4))
(.f64 (sqrt.f64 (.f64 27 y)) (.f64 (sqrt.f64 (.f64 27 y)) x))
(.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) 27))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 27 y)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 (.f64 27 y) (.f64 27 (*.f64 x y))) 1/2))
(.f64 (.f64 27 x) y)
(.f64 (pow.f64 (.f64 27 (.f64 x y)) 3/4) (pow.f64 (.f64 27 (*.f64 x y)) 1/4))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 27 y)) 2)) (cbrt.f64 (.f64 27 y)))
(.f64 (.f64 x (sqrt.f64 (.f64 27 y))) (sqrt.f64 (.f64 27 y)))
(.f64 (.f64 (*.f64 27 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (*.f64 27 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 27 (.f64 x y)) 5/6) (pow.f64 (.f64 27 (*.f64 x y)) 1/6))
(.f64 (pow.f64 (.f64 (.f64 27 (.f64 x y)) x) 1/2) (sqrt.f64 (*.f64 27 y)))
(.f64 (.f64 (*.f64 27 x) 1) y)
(.f64 (.f64 (*.f64 27 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(.f64 (.f64 (*.f64 27 x) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 27 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)))
(.f64 (.f64 27 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 2) 729))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 27 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 27 (.f64 x y)))))
(cbrt.f64 (pow.f64 (.f64 27 (.f64 x y)) 3))
(expm1.f64 (log1p.f64 (.f64 27 (.f64 x y))))
(exp.f64 (log.f64 (.f64 27 (.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 27 (*.f64 x y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 27 (*.f64 x y)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 x y) 2) 729)) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 27 (.f64 x y)))) 1/3))
(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 (.f64 (log.f64 y) 1) (log.f64 (.f64 27 x))))
(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 (sqrt.f64 (.f64 27 (.f64 x y)))) (.f64 (log.f64 (.f64 27 (*.f64 x y))) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) (.f64 (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y))))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y))))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 27 x)) (.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (.f64 27 (.f64 x y))))

simplify138.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1598×	`fma-def`
1472×	`log-prod`
918×	`distribute-lft-in`
860×	`distribute-rgt-in`
620×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	268	2622
1	584	2522
2	1655	2522
3	6797	2522

Stop Event

1×	node limit

Counts

152 → 130

Calls

Call 1

Inputs
(+.f64 0 (.f64 27 (.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 27 (.f64 x y)))) 1)
(pow.f64 (.f64 27 (.f64 x y)) 1)
(pow.f64 (sqrt.f64 (.f64 27 (.f64 x y))) 2)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/6) 6)
(pow.f64 (cbrt.f64 (.f64 27 (.f64 x y))) 3)
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 3/2) 2/3)
(pow.f64 (.f64 (pow.f64 (.f64 x y) 2) 729) 1/2)
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 3) 1/3)
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/4) 4)
(pow.f64 (exp.f64 1) (log.f64 (.f64 27 (.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 27 (.f64 x y)))) 2)) (cbrt.f64 (log.f64 (.f64 27 (.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 27 (.f64 x y))))) (sqrt.f64 (log.f64 (.f64 27 (.f64 x y)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 2) 729))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 27 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 27 (.f64 x y)))))
(cbrt.f64 (pow.f64 (.f64 27 (.f64 x y)) 3))
(expm1.f64 (log1p.f64 (.f64 27 (.f64 x y))))
(exp.f64 (log.f64 (.f64 27 (.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 27 (*.f64 x y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 27 (*.f64 x y)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 x y) 2) 729)) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 27 (.f64 x y)))) 1/3))
(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 (.f64 (log.f64 y) 1) (log.f64 (.f64 27 x))))
(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 (sqrt.f64 (.f64 27 (.f64 x y)))) (.f64 (log.f64 (.f64 27 (*.f64 x y))) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) (.f64 (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y))))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y))))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 27 x)) (.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (.f64 27 (.f64 x y))))
(+.f64 0 (sqrt.f64 (.f64 27 (.f64 x y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 27 (.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 27 (.f64 x y))))) 1)
(.f64 (sqrt.f64 (.f64 27 (*.f64 x y))) 1)
(.f64 1 (sqrt.f64 (.f64 27 (*.f64 x y))))
(.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/6) (cbrt.f64 (.f64 27 (*.f64 x y))))
(.f64 (cbrt.f64 (.f64 27 (.f64 x y))) (pow.f64 (.f64 27 (*.f64 x y)) 1/6))
(.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/4) (pow.f64 (.f64 27 (*.f64 x y)) 1/4))
(.f64 (sqrt.f64 (.f64 27 y)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 27))
(.f64 (sqrt.f64 27) (sqrt.f64 (.f64 x y)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 27 y)))
(.f64 (sqrt.f64 (.f64 27 x)) (sqrt.f64 y))
(pow.f64 (.f64 27 (.f64 x y)) 1/2)
(pow.f64 (sqrt.f64 (.f64 27 (.f64 x y))) 1)
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/6) 3)
(pow.f64 (cbrt.f64 (.f64 27 (.f64 x y))) 3/2)
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 3/2) 1/3)
(pow.f64 (.f64 (pow.f64 (.f64 x y) 2) 729) 1/4)
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 3) 1/6)
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/4) 2)
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))
(pow.f64 (exp.f64 1/2) (log.f64 (.f64 27 (.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))) (sqrt.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y))))))
(fabs.f64 (sqrt.f64 (.f64 27 (.f64 x y))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 27 (.f64 x y))))))
(cbrt.f64 (pow.f64 (.f64 27 (.f64 x y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))
(exp.f64 (.f64 (log.f64 (.f64 27 (*.f64 x y))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 27 (*.f64 x y)) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (.f64 27 (.f64 x y)))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (.f64 27 (.f64 x y)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))
(+.f64 0 (.f64 27 (.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 27 (.f64 x y)))) 1)
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 y (.f64 27 x))
(.f64 (.f64 x y) 27)
(.f64 (.f64 27 y) x)
(.f64 (.f64 27 (*.f64 x y)) 1)
(.f64 (sqrt.f64 (.f64 27 (.f64 x y))) (sqrt.f64 (.f64 27 (*.f64 x y))))
(.f64 1 (.f64 27 (*.f64 x y)))
(.f64 (pow.f64 (cbrt.f64 (.f64 27 y)) 2) (.f64 (cbrt.f64 (.f64 27 y)) x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) 27))
(.f64 (cbrt.f64 (.f64 27 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 27 (*.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 27 (.f64 x y))) 2) (cbrt.f64 (.f64 27 (*.f64 x y))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 27 y)))
(.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/4) (pow.f64 (.f64 27 (*.f64 x y)) 3/4))
(.f64 (sqrt.f64 (.f64 27 y)) (.f64 (sqrt.f64 (.f64 27 y)) x))
(.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) 27))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 27 y)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 (.f64 27 y) (.f64 27 (*.f64 x y))) 1/2))
(.f64 (.f64 27 x) y)
(.f64 (pow.f64 (.f64 27 (.f64 x y)) 3/4) (pow.f64 (.f64 27 (*.f64 x y)) 1/4))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 27 y)) 2)) (cbrt.f64 (.f64 27 y)))
(.f64 (.f64 x (sqrt.f64 (.f64 27 y))) (sqrt.f64 (.f64 27 y)))
(.f64 (.f64 (*.f64 27 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (*.f64 27 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 27 (.f64 x y)) 5/6) (pow.f64 (.f64 27 (*.f64 x y)) 1/6))
(.f64 (pow.f64 (.f64 (.f64 27 (.f64 x y)) x) 1/2) (sqrt.f64 (*.f64 27 y)))
(.f64 (.f64 (*.f64 27 x) 1) y)
(.f64 (.f64 (*.f64 27 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(.f64 (.f64 (*.f64 27 x) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 27 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)))
(.f64 (.f64 27 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 2) 729))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 27 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 27 (.f64 x y)))))
(cbrt.f64 (pow.f64 (.f64 27 (.f64 x y)) 3))
(expm1.f64 (log1p.f64 (.f64 27 (.f64 x y))))
(exp.f64 (log.f64 (.f64 27 (.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 27 (*.f64 x y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 27 (*.f64 x y)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 x y) 2) 729)) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 27 (.f64 x y)))) 1/3))
(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 (.f64 (log.f64 y) 1) (log.f64 (.f64 27 x))))
(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 (sqrt.f64 (.f64 27 (.f64 x y)))) (.f64 (log.f64 (.f64 27 (*.f64 x y))) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) (.f64 (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y))))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y))))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 27 x)) (.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (.f64 27 (.f64 x y))))

Outputs
(+.f64 0 (.f64 27 (.f64 x y)))
(.f64 27 (.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 27 x)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))))
(.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))))
(.f64 27 (.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (.f64 27 (.f64 x y)))) 1)
(.f64 27 (.f64 x y))
(pow.f64 (.f64 27 (.f64 x y)) 1)
(.f64 27 (.f64 x y))
(pow.f64 (sqrt.f64 (.f64 27 (.f64 x y))) 2)
(.f64 27 (.f64 x y))
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))
(.f64 27 (.f64 x y))
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/6) 6)
(.f64 27 (.f64 x y))
(pow.f64 (cbrt.f64 (.f64 27 (.f64 x y))) 3)
(.f64 27 (.f64 x y))
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 3/2) 2/3)
(.f64 27 (.f64 x y))
(pow.f64 (.f64 (pow.f64 (.f64 x y) 2) 729) 1/2)
(.f64 27 (.f64 x y))
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 3) 1/3)
(.f64 27 (.f64 x y))
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/4) 4)
(.f64 27 (.f64 x y))
(pow.f64 (exp.f64 1) (log.f64 (.f64 27 (.f64 x y))))
(.f64 27 (.f64 x y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 27 (.f64 x y)))) 2)) (cbrt.f64 (log.f64 (.f64 27 (.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 27 (.f64 x y))))) (sqrt.f64 (log.f64 (.f64 27 (.f64 x y)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 2) 729))
(.f64 27 (.f64 x y))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 27 x)))
(.f64 27 (.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 27 (.f64 x y)))))
(.f64 27 (.f64 x y))
(cbrt.f64 (pow.f64 (.f64 27 (.f64 x y)) 3))
(.f64 27 (.f64 x y))
(expm1.f64 (log1p.f64 (.f64 27 (.f64 x y))))
(.f64 27 (.f64 x y))
(exp.f64 (log.f64 (.f64 27 (.f64 x y))))
(.f64 27 (.f64 x y))
(exp.f64 (.f64 (log.f64 (.f64 27 (*.f64 x y))) 1))
(.f64 27 (.f64 x y))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1) 1))
(.f64 27 (.f64 x y))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) 2))
(.f64 27 (.f64 x y))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) 2))
(.f64 27 (.f64 x y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 27 (*.f64 x y)))) 3))
(.f64 27 (.f64 x y))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 x y) 2) 729)) 1/2))
(.f64 27 (.f64 x y))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 27 (.f64 x y)))) 1/3))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (.f64 27 y)) 1)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 27 y))))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (*.f64 27 y)) 1)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (log.f64 (.f64 27 x))))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (log.f64 (.f64 27 y)) (.f64 (log.f64 x) 1)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (log.f64 x)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (*.f64 (log.f64 x) 1)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) (.f64 (log.f64 (.f64 27 (*.f64 x y))) 1/2)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) (.f64 (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y)))) 1)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y))))))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y))))))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (log.f64 (.f64 27 x)) (.f64 (log.f64 y) 1)))
(.f64 27 (.f64 x y))
(log1p.f64 (expm1.f64 (.f64 27 (.f64 x y))))
(.f64 27 (.f64 x y))
(+.f64 0 (sqrt.f64 (.f64 27 (.f64 x y))))
(sqrt.f64 (.f64 27 (.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 27 (.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 27 (*.f64 x y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))))
(sqrt.f64 (.f64 27 (.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 27 (.f64 x y))))) 1)
(sqrt.f64 (.f64 27 (.f64 x y)))
(.f64 (sqrt.f64 (.f64 27 (*.f64 x y))) 1)
(sqrt.f64 (.f64 27 (.f64 x y)))
(.f64 1 (sqrt.f64 (.f64 27 (*.f64 x y))))
(sqrt.f64 (.f64 27 (.f64 x y)))
(.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/6) (cbrt.f64 (.f64 27 (*.f64 x y))))
(sqrt.f64 (.f64 27 (.f64 x y)))
(.f64 (cbrt.f64 (.f64 27 (.f64 x y))) (pow.f64 (.f64 27 (*.f64 x y)) 1/6))
(sqrt.f64 (.f64 27 (.f64 x y)))
(.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/4) (pow.f64 (.f64 27 (*.f64 x y)) 1/4))
(sqrt.f64 (.f64 27 (.f64 x y)))
(.f64 (sqrt.f64 (.f64 27 y)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 27))
(.f64 (sqrt.f64 27) (sqrt.f64 (.f64 x y)))
(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 27))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 27 y)))
(.f64 (sqrt.f64 (.f64 27 y)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 27 x)) (sqrt.f64 y))
(pow.f64 (.f64 27 (.f64 x y)) 1/2)
(sqrt.f64 (.f64 27 (.f64 x y)))
(pow.f64 (sqrt.f64 (.f64 27 (.f64 x y))) 1)
(sqrt.f64 (.f64 27 (.f64 x y)))
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/6) 3)
(sqrt.f64 (.f64 27 (.f64 x y)))
(pow.f64 (cbrt.f64 (.f64 27 (.f64 x y))) 3/2)
(sqrt.f64 (.f64 27 (.f64 x y)))
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 3/2) 1/3)
(sqrt.f64 (.f64 27 (.f64 x y)))
(pow.f64 (.f64 (pow.f64 (.f64 x y) 2) 729) 1/4)
(sqrt.f64 (.f64 27 (.f64 x y)))
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 3) 1/6)
(sqrt.f64 (.f64 27 (.f64 x y)))
(pow.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/4) 2)
(sqrt.f64 (.f64 27 (.f64 x y)))
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))
(sqrt.f64 (.f64 27 (.f64 x y)))
(pow.f64 (exp.f64 1/2) (log.f64 (.f64 27 (.f64 x y))))
(sqrt.f64 (.f64 27 (.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))) (sqrt.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y))))))
(fabs.f64 (sqrt.f64 (.f64 27 (.f64 x y))))
(sqrt.f64 (.f64 27 (.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))
(sqrt.f64 (.f64 27 (.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 27 (.f64 x y))))))
(sqrt.f64 (.f64 27 (.f64 x y)))
(cbrt.f64 (pow.f64 (.f64 27 (.f64 x y)) 3/2))
(sqrt.f64 (.f64 27 (.f64 x y)))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))
(sqrt.f64 (.f64 27 (.f64 x y)))
(exp.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))
(sqrt.f64 (.f64 27 (.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 27 (*.f64 x y))) 1/2))
(sqrt.f64 (.f64 27 (.f64 x y)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y)))) 1))
(sqrt.f64 (.f64 27 (.f64 x y)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1) 1/2))
(sqrt.f64 (.f64 27 (.f64 x y)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) 1))
(sqrt.f64 (.f64 27 (.f64 x y)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) 1))
(sqrt.f64 (.f64 27 (.f64 x y)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 27 (*.f64 x y)) 1/6)) 3))
(sqrt.f64 (.f64 27 (.f64 x y)))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (.f64 27 (.f64 x y)))) 1/3))
(sqrt.f64 (.f64 27 (.f64 x y)))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (.f64 27 (.f64 x y)))) 2))
(sqrt.f64 (.f64 27 (.f64 x y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 27 (.f64 x y)))))
(sqrt.f64 (.f64 27 (.f64 x y)))
(+.f64 0 (.f64 27 (.f64 x y)))
(.f64 27 (.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 27 x)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))))
(.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 27 x)))))
(.f64 27 (.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (.f64 27 (.f64 x y)))) 1)
(.f64 27 (.f64 x y))
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(.f64 27 (.f64 x y))
(.f64 (.f64 x y) 27)
(.f64 27 (.f64 x y))
(.f64 (.f64 27 y) x)
(.f64 27 (.f64 x y))
(.f64 (.f64 27 (*.f64 x y)) 1)
(.f64 27 (.f64 x y))
(.f64 (sqrt.f64 (.f64 27 (.f64 x y))) (sqrt.f64 (.f64 27 (*.f64 x y))))
(.f64 27 (.f64 x y))
(.f64 1 (.f64 27 (*.f64 x y)))
(.f64 27 (.f64 x y))
(.f64 (pow.f64 (cbrt.f64 (.f64 27 y)) 2) (.f64 (cbrt.f64 (.f64 27 y)) x))
(.f64 27 (.f64 x y))
(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) 27))
(.f64 27 (.f64 x y))
(.f64 (cbrt.f64 (.f64 27 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 27 (*.f64 x y))) 2))
(.f64 27 (.f64 x y))
(.f64 (pow.f64 (cbrt.f64 (.f64 27 (.f64 x y))) 2) (cbrt.f64 (.f64 27 (*.f64 x y))))
(.f64 27 (.f64 x y))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 27 y)))
(.f64 27 (.f64 x y))
(.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/4) (pow.f64 (.f64 27 (*.f64 x y)) 3/4))
(.f64 (sqrt.f64 (.f64 27 y)) (.f64 (sqrt.f64 (.f64 27 y)) x))
(.f64 27 (.f64 x y))
(.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) 27))
(.f64 27 (.f64 x y))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 27 y)))
(.f64 27 (.f64 x y))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 (.f64 27 y) (.f64 27 (*.f64 x y))) 1/2))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 27 (.f64 y (.f64 27 (*.f64 x y))))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (.f64 x y) (.f64 y 729))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (.f64 729 (.f64 y y)))))
(.f64 (.f64 27 x) y)
(.f64 27 (.f64 x y))
(.f64 (pow.f64 (.f64 27 (.f64 x y)) 3/4) (pow.f64 (.f64 27 (*.f64 x y)) 1/4))
(.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/4) (pow.f64 (.f64 27 (*.f64 x y)) 3/4))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 27 y)) 2)) (cbrt.f64 (.f64 27 y)))
(.f64 27 (.f64 x y))
(.f64 (.f64 x (sqrt.f64 (.f64 27 y))) (sqrt.f64 (.f64 27 y)))
(.f64 27 (.f64 x y))
(.f64 (.f64 (*.f64 27 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 27 (.f64 x y))
(.f64 (.f64 (*.f64 27 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 27 (.f64 x y))
(.f64 (pow.f64 (.f64 27 (.f64 x y)) 5/6) (pow.f64 (.f64 27 (*.f64 x y)) 1/6))
(.f64 (pow.f64 (.f64 27 (.f64 x y)) 1/6) (pow.f64 (.f64 27 (*.f64 x y)) 5/6))
(.f64 (pow.f64 (.f64 (.f64 27 (.f64 x y)) x) 1/2) (sqrt.f64 (*.f64 27 y)))
(.f64 (sqrt.f64 (.f64 27 y)) (sqrt.f64 (.f64 27 (.f64 (*.f64 x y) x))))
(.f64 (sqrt.f64 (.f64 27 y)) (sqrt.f64 (.f64 27 (.f64 x (*.f64 x y)))))
(.f64 (sqrt.f64 (.f64 27 y)) (sqrt.f64 (.f64 (.f64 x y) (*.f64 27 x))))
(.f64 (.f64 (*.f64 27 x) 1) y)
(.f64 27 (.f64 x y))
(.f64 (.f64 (*.f64 27 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(.f64 27 (.f64 x y))
(.f64 (.f64 (*.f64 27 x) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 27 (.f64 x y))
(.f64 (.f64 27 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)))
(.f64 27 (.f64 x y))
(.f64 (.f64 27 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
(.f64 27 (.f64 x y))
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 2) 729))
(.f64 27 (.f64 x y))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 27 x)))
(.f64 27 (.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 27 (.f64 x y)))))
(.f64 27 (.f64 x y))
(cbrt.f64 (pow.f64 (.f64 27 (.f64 x y)) 3))
(.f64 27 (.f64 x y))
(expm1.f64 (log1p.f64 (.f64 27 (.f64 x y))))
(.f64 27 (.f64 x y))
(exp.f64 (log.f64 (.f64 27 (.f64 x y))))
(.f64 27 (.f64 x y))
(exp.f64 (.f64 (log.f64 (.f64 27 (*.f64 x y))) 1))
(.f64 27 (.f64 x y))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1) 1))
(.f64 27 (.f64 x y))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) 2))
(.f64 27 (.f64 x y))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) 2))
(.f64 27 (.f64 x y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 27 (*.f64 x y)))) 3))
(.f64 27 (.f64 x y))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 x y) 2) 729)) 1/2))
(.f64 27 (.f64 x y))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 27 (.f64 x y)))) 1/3))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (.f64 27 y)) 1)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 27 y))))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (*.f64 27 y)) 1)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (log.f64 (.f64 27 x))))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (log.f64 (.f64 27 y)) (.f64 (log.f64 x) 1)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (log.f64 x)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 y)) 1) (*.f64 (log.f64 x) 1)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) (.f64 (log.f64 (.f64 27 (*.f64 x y))) 1/2)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) (.f64 (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y)))) 1)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y))))))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2) (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) (log.f64 (sqrt.f64 (.f64 27 (*.f64 x y))))))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) (.f64 (log.f64 (.f64 27 (.f64 x y))) 1/2)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1) (.f64 (log.f64 (sqrt.f64 (.f64 27 (.f64 x y)))) 1)))
(.f64 27 (.f64 x y))
(exp.f64 (+.f64 (log.f64 (.f64 27 x)) (.f64 (log.f64 y) 1)))
(.f64 27 (.f64 x y))
(log1p.f64 (expm1.f64 (.f64 27 (.f64 x y))))
(.f64 27 (.f64 x y))

eval71.0ms (1.9%)

Compiler: Compiled 1633 to 1098 computations (32.8% saved)

prune48.0ms (1.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	140	6	146

Accuracy

100.0%

Counts

146 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.3%	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
▶	73.0%	(.f64 (.f64 (*.f64 27 x) (sqrt.f64 y)) (sqrt.f64 y))
✓	99.7%	(.f64 (.f64 x 27) y)
▶	53.5%	(.f64 (.f64 27 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
✓	99.3%	(.f64 x (.f64 27 y))
✓	99.5%	(.f64 27 (.f64 x y))
✓	53.3%	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
▶	73.0%	(.f64 (.f64 (*.f64 27 x) (sqrt.f64 y)) (sqrt.f64 y))
✓	99.7%	(.f64 (.f64 x 27) y)
▶	53.5%	(.f64 (.f64 27 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
✓	99.3%	(.f64 x (.f64 27 y))
✓	99.5%	(.f64 27 (.f64 x y))

Compiler

Compiled 110 to 74 computations (32.7% saved)

localize98.0ms (2.6%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	99.9%	(.f64 (.f64 27 x) (sqrt.f64 y))
✓	99.9%	(.f64 (.f64 (*.f64 27 x) (sqrt.f64 y)) (sqrt.f64 y))
✓	99.9%	(.f64 (.f64 27 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
✓	99.9%	(.f64 27 (sqrt.f64 (.f64 x y)))
✓	95.6%	(sqrt.f64 (*.f64 x y))

Compiler

Compiled 53 to 22 computations (58.5% saved)

series24.0ms (0.6%)

Counts

5 → 60

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(.f64 27 (sqrt.f64 (.f64 x y)))
3.0ms	y	@	-inf	(sqrt.f64 (*.f64 x y))
2.0ms	x	@	-inf	(.f64 (.f64 27 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
2.0ms	y	@	-inf	(.f64 (.f64 27 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
1.0ms	x	@	0	(.f64 (.f64 27 x) (sqrt.f64 y))

rewrite125.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`log-prod`
1042×	`pow-prod-down`
728×	`pow-unpow`
662×	`pow-prod-up`
578×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	281	71
2	3368	71

Stop Event

1×	node limit

Counts

5 → 126

Calls

Call 1

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

Outputs
(+.f64 0 (sqrt.f64 (*.f64 x y)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x y)))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x y)))) 1)
(.f64 (sqrt.f64 (.f64 x y)) 1)
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(.f64 1 (sqrt.f64 (.f64 x y)))
(.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (*.f64 x y) 1/6))
(.f64 (pow.f64 (.f64 x y) 1/6) (cbrt.f64 (*.f64 x y)))
(.f64 (pow.f64 (.f64 x y) 1/4) (pow.f64 (*.f64 x y) 1/4))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 y 1/4)) (pow.f64 y 1/4))
(.f64 (.f64 (sqrt.f64 x) 1) (sqrt.f64 y))
(.f64 (.f64 (sqrt.f64 x) (cbrt.f64 y)) (pow.f64 y 1/6))
(pow.f64 (*.f64 x y) 1/2)
(pow.f64 (sqrt.f64 (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x y)) 3/2)
(pow.f64 (pow.f64 (*.f64 x y) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 x y) 2) 1/4)
(pow.f64 (pow.f64 (*.f64 x y) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 x y) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x y) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 x y)) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x y)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x y)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 x y))) 1) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x y) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 x y))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (*.f64 x y))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(+.f64 0 (.f64 (sqrt.f64 (.f64 x y)) 27))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 27) (sqrt.f64 (.f64 x y)))) (cbrt.f64 (pow.f64 (exp.f64 27) (sqrt.f64 (.f64 x y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 27) (sqrt.f64 (.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 27) (sqrt.f64 (.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 27) (sqrt.f64 (.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 x y)) 27))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 x y)) 27) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 x y)) 27)) 3)
(pow.f64 (.f64 (.f64 x y) 729) 1/2)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 x y)) 27) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 x y)) 27)) 2)
(sqrt.f64 (.f64 (.f64 x y) 729))
(log.f64 (pow.f64 (exp.f64 27) (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 x y)) 27))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 x y)) 27) 3))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 x y)) 27)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 x y)) 27)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 x y)) 27)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 x y)) 27)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (*.f64 x y)) 27))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (.f64 x y)) 27))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 x y)) 27))) 2))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 x y)) 27)))
(+.f64 0 (.f64 x (.f64 27 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 27 y)))) 1)
(pow.f64 (.f64 x (.f64 27 y)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 3)
(pow.f64 (.f64 729 (pow.f64 (.f64 x y) 2)) 1/2)
(pow.f64 (pow.f64 (.f64 x (.f64 27 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
(pow.f64 (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 x 27))) 3)
(pow.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 x 27) 3)) 1/3)
(sqrt.f64 (.f64 729 (pow.f64 (.f64 x y) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 27 y)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 27 y))))
(exp.f64 (log.f64 (.f64 x (.f64 27 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 27 y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 27 y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 27 y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 27 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 27 y)))) 2))
(log1p.f64 (expm1.f64 (.f64 x (.f64 27 y))))
(+.f64 0 (.f64 x (.f64 27 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 27 y)))) 1)
(pow.f64 (.f64 x (.f64 27 y)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 3)
(pow.f64 (.f64 729 (pow.f64 (.f64 x y) 2)) 1/2)
(pow.f64 (pow.f64 (.f64 x (.f64 27 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
(pow.f64 (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 x 27))) 3)
(pow.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 x 27) 3)) 1/3)
(sqrt.f64 (.f64 729 (pow.f64 (.f64 x y) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 27 y)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 27 y))))
(exp.f64 (log.f64 (.f64 x (.f64 27 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 27 y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 27 y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 27 y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 27 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 27 y)))) 2))
(log1p.f64 (expm1.f64 (.f64 x (.f64 27 y))))
(+.f64 0 (.f64 (.f64 x 27) (sqrt.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) (sqrt.f64 y))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) (sqrt.f64 y))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) (sqrt.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) (sqrt.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) (sqrt.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x 27) (sqrt.f64 y)))) 1)
(pow.f64 (.f64 (.f64 x 27) (sqrt.f64 y)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 x 27) (sqrt.f64 y))) 3)
(pow.f64 (.f64 729 (.f64 x (*.f64 x y))) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 x 27) (sqrt.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (.f64 x 27) (sqrt.f64 y))) 2)
(sqrt.f64 (.f64 729 (.f64 x (*.f64 x y))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 27) x) (sqrt.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x 27) (sqrt.f64 y)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 x 27) (sqrt.f64 y)) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 x 27) (sqrt.f64 y))))
(exp.f64 (log.f64 (.f64 (.f64 x 27) (sqrt.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x 27) (sqrt.f64 y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 x 27) (sqrt.f64 y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 x 27) (sqrt.f64 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)))) 2))
(log1p.f64 (expm1.f64 (.f64 (.f64 x 27) (sqrt.f64 y))))

simplify137.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1482×	`log-prod`
1354×	`fma-def`
1006×	`distribute-lft-in`
988×	`distribute-rgt-in`
716×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	3002
1	569	2896
2	1797	2716
3	6826	2716

Stop Event

1×	node limit

Counts

186 → 126

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 (*.f64 y (pow.f64 (sqrt.f64 -1) 2))))
(.f64 -27 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 -1) 2))))
(.f64 -27 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 -1) 2))))
(.f64 -27 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 -1) 2))))
(.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 (*.f64 y (pow.f64 (sqrt.f64 -1) 2))))
(.f64 -27 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 -1) 2))))
(.f64 -27 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 -1) 2))))
(.f64 -27 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 -1) 2))))
(.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 (*.f64 y (pow.f64 (sqrt.f64 -1) 2))))
(.f64 -27 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 -1) 2))))
(.f64 -27 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 -1) 2))))
(.f64 -27 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 -1) 2))))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 27 (.f64 x (sqrt.f64 y)))
(.f64 27 (.f64 x (sqrt.f64 y)))
(+.f64 0 (sqrt.f64 (*.f64 x y)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x y)))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x y)))) 1)
(.f64 (sqrt.f64 (.f64 x y)) 1)
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(.f64 1 (sqrt.f64 (.f64 x y)))
(.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (*.f64 x y) 1/6))
(.f64 (pow.f64 (.f64 x y) 1/6) (cbrt.f64 (*.f64 x y)))
(.f64 (pow.f64 (.f64 x y) 1/4) (pow.f64 (*.f64 x y) 1/4))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 y 1/4)) (pow.f64 y 1/4))
(.f64 (.f64 (sqrt.f64 x) 1) (sqrt.f64 y))
(.f64 (.f64 (sqrt.f64 x) (cbrt.f64 y)) (pow.f64 y 1/6))
(pow.f64 (*.f64 x y) 1/2)
(pow.f64 (sqrt.f64 (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x y)) 3/2)
(pow.f64 (pow.f64 (*.f64 x y) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 x y) 2) 1/4)
(pow.f64 (pow.f64 (*.f64 x y) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 x y) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x y) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 x y)) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x y)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x y)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 x y))) 1) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x y) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 x y))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (*.f64 x y))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(+.f64 0 (.f64 (sqrt.f64 (.f64 x y)) 27))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 27) (sqrt.f64 (.f64 x y)))) (cbrt.f64 (pow.f64 (exp.f64 27) (sqrt.f64 (.f64 x y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 27) (sqrt.f64 (.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 27) (sqrt.f64 (.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 27) (sqrt.f64 (.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 x y)) 27))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 x y)) 27) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 x y)) 27)) 3)
(pow.f64 (.f64 (.f64 x y) 729) 1/2)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 x y)) 27) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 x y)) 27)) 2)
(sqrt.f64 (.f64 (.f64 x y) 729))
(log.f64 (pow.f64 (exp.f64 27) (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 x y)) 27))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 x y)) 27) 3))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 x y)) 27)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 x y)) 27)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 x y)) 27)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 x y)) 27)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (*.f64 x y)) 27))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (.f64 x y)) 27))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 x y)) 27))) 2))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 x y)) 27)))
(+.f64 0 (.f64 x (.f64 27 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 27 y)))) 1)
(pow.f64 (.f64 x (.f64 27 y)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 3)
(pow.f64 (.f64 729 (pow.f64 (.f64 x y) 2)) 1/2)
(pow.f64 (pow.f64 (.f64 x (.f64 27 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
(pow.f64 (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 x 27))) 3)
(pow.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 x 27) 3)) 1/3)
(sqrt.f64 (.f64 729 (pow.f64 (.f64 x y) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 27 y)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 27 y))))
(exp.f64 (log.f64 (.f64 x (.f64 27 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 27 y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 27 y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 27 y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 27 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 27 y)))) 2))
(log1p.f64 (expm1.f64 (.f64 x (.f64 27 y))))
(+.f64 0 (.f64 x (.f64 27 y)))
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(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 27 y)))) 1)
(pow.f64 (.f64 x (.f64 27 y)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 3)
(pow.f64 (.f64 729 (pow.f64 (.f64 x y) 2)) 1/2)
(pow.f64 (pow.f64 (.f64 x (.f64 27 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
(pow.f64 (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 x 27))) 3)
(pow.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 x 27) 3)) 1/3)
(sqrt.f64 (.f64 729 (pow.f64 (.f64 x y) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 27 y)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 27 y))))
(exp.f64 (log.f64 (.f64 x (.f64 27 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 27 y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 27 y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 27 y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 27 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 27 y)))) 2))
(log1p.f64 (expm1.f64 (.f64 x (.f64 27 y))))
(+.f64 0 (.f64 (.f64 x 27) (sqrt.f64 y)))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) (sqrt.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) (sqrt.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x 27) (sqrt.f64 y)))) 1)
(pow.f64 (.f64 (.f64 x 27) (sqrt.f64 y)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 x 27) (sqrt.f64 y))) 3)
(pow.f64 (.f64 729 (.f64 x (*.f64 x y))) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 x 27) (sqrt.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (.f64 x 27) (sqrt.f64 y))) 2)
(sqrt.f64 (.f64 729 (.f64 x (*.f64 x y))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 27) x) (sqrt.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x 27) (sqrt.f64 y)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 x 27) (sqrt.f64 y)) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 x 27) (sqrt.f64 y))))
(exp.f64 (log.f64 (.f64 (.f64 x 27) (sqrt.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x 27) (sqrt.f64 y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 x 27) (sqrt.f64 y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 x 27) (sqrt.f64 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)))) 2))
(log1p.f64 (expm1.f64 (.f64 (.f64 x 27) (sqrt.f64 y))))

Outputs
(.f64 27 (.f64 x y))
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(.f64 27 (.f64 x y))
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(.f64 y (.f64 27 x))
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(cbrt.f64 (pow.f64 (*.f64 x y) 3/2))
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(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
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(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
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(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x y))) 1))
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(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x y) 1/6)) 3))
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(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 x y))) 1/3))
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(exp.f64 (.f64 (.f64 1/4 (log.f64 (*.f64 x y))) 2))
(sqrt.f64 (*.f64 x y))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(+.f64 0 (.f64 (sqrt.f64 (.f64 x y)) 27))
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(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 27) (sqrt.f64 (.f64 x y))))))
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(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 x y)) 27))) 1)
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(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 x y)) 27)))
(.f64 27 (sqrt.f64 (.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 x y)) 27)) 1))
(.f64 27 (sqrt.f64 (.f64 x y)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 x y)) 27)) 1) 1))
(.f64 27 (sqrt.f64 (.f64 x y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (*.f64 x y)) 27))) 3))
(.f64 27 (sqrt.f64 (.f64 x y)))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (.f64 x y)) 27))) 1/3))
(.f64 27 (sqrt.f64 (.f64 x y)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 x y)) 27))) 2))
(.f64 27 (sqrt.f64 (.f64 x y)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 x y)) 27)))
(.f64 27 (sqrt.f64 (.f64 x y)))
(+.f64 0 (.f64 x (.f64 27 y)))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 27 y)))) 1)
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(pow.f64 (.f64 x (.f64 27 y)) 1)
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 3)
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(pow.f64 (.f64 729 (pow.f64 (.f64 x y) 2)) 1/2)
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 2) 729))
(fabs.f64 (.f64 y (.f64 27 x)))
(pow.f64 (pow.f64 (.f64 x (.f64 27 y)) 3) 1/3)
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(pow.f64 (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 x 27))) 3)
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(pow.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 x 27) 3)) 1/3)
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(sqrt.f64 (.f64 729 (pow.f64 (.f64 x y) 2)))
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 2) 729))
(fabs.f64 (.f64 y (.f64 27 x)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 27 y)))))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 3))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 27 y))))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(exp.f64 (log.f64 (.f64 x (.f64 27 y))))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 27 y))) 1))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 27 y))) 1) 1))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 27 y)))) 3))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 27 y)))) 1/3))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 27 y)))) 2))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 27 y))))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(+.f64 0 (.f64 x (.f64 27 y)))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 27 y)))) 1)
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(pow.f64 (.f64 x (.f64 27 y)) 1)
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 27 y))) 3)
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(pow.f64 (.f64 729 (pow.f64 (.f64 x y) 2)) 1/2)
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 2) 729))
(fabs.f64 (.f64 y (.f64 27 x)))
(pow.f64 (pow.f64 (.f64 x (.f64 27 y)) 3) 1/3)
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(pow.f64 (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 x 27))) 3)
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(pow.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 x 27) 3)) 1/3)
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(sqrt.f64 (.f64 729 (pow.f64 (.f64 x y) 2)))
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 2) 729))
(fabs.f64 (.f64 y (.f64 27 x)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 27) x) y))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 27 y)))))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 27 y)) 3))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 27 y))))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(exp.f64 (log.f64 (.f64 x (.f64 27 y))))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 27 y))) 1))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 27 y))) 1) 1))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 27 y)))) 3))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 27 y)))) 1/3))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 27 y)))) 2))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 27 y))))
(.f64 x (.f64 27 y))
(.f64 27 (.f64 x y))
(.f64 y (.f64 27 x))
(+.f64 0 (.f64 (.f64 x 27) (sqrt.f64 y)))
(.f64 27 (.f64 x (sqrt.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) (sqrt.f64 y))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) (sqrt.f64 y))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) (sqrt.f64 y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) (sqrt.f64 y))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) (sqrt.f64 y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) (sqrt.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) (sqrt.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 27) x) (sqrt.f64 y)))))
(.f64 27 (.f64 x (sqrt.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x 27) (sqrt.f64 y)))) 1)
(.f64 27 (.f64 x (sqrt.f64 y)))
(pow.f64 (.f64 (.f64 x 27) (sqrt.f64 y)) 1)
(.f64 27 (.f64 x (sqrt.f64 y)))
(pow.f64 (cbrt.f64 (.f64 (.f64 x 27) (sqrt.f64 y))) 3)
(.f64 27 (.f64 x (sqrt.f64 y)))
(pow.f64 (.f64 729 (.f64 x (*.f64 x y))) 1/2)
(sqrt.f64 (.f64 (.f64 729 x) (*.f64 x y)))
(sqrt.f64 (.f64 x (.f64 x (*.f64 y 729))))
(sqrt.f64 (.f64 (.f64 x y) (*.f64 x 729)))
(pow.f64 (pow.f64 (.f64 (.f64 x 27) (sqrt.f64 y)) 3) 1/3)
(.f64 27 (.f64 x (sqrt.f64 y)))
(pow.f64 (sqrt.f64 (.f64 (.f64 x 27) (sqrt.f64 y))) 2)
(.f64 27 (.f64 x (sqrt.f64 y)))
(sqrt.f64 (.f64 729 (.f64 x (*.f64 x y))))
(sqrt.f64 (.f64 (.f64 729 x) (*.f64 x y)))
(sqrt.f64 (.f64 x (.f64 x (*.f64 y 729))))
(sqrt.f64 (.f64 (.f64 x y) (*.f64 x 729)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 27) x) (sqrt.f64 y)))
(.f64 27 (.f64 x (sqrt.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x 27) (sqrt.f64 y)))))
(.f64 27 (.f64 x (sqrt.f64 y)))
(cbrt.f64 (pow.f64 (.f64 (.f64 x 27) (sqrt.f64 y)) 3))
(.f64 27 (.f64 x (sqrt.f64 y)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x 27) (sqrt.f64 y))))
(.f64 27 (.f64 x (sqrt.f64 y)))
(exp.f64 (log.f64 (.f64 (.f64 x 27) (sqrt.f64 y))))
(.f64 27 (.f64 x (sqrt.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x 27) (sqrt.f64 y))) 1))
(.f64 27 (.f64 x (sqrt.f64 y)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 x 27) (sqrt.f64 y))) 1) 1))
(.f64 27 (.f64 x (sqrt.f64 y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)))) 3))
(.f64 27 (.f64 x (sqrt.f64 y)))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 x 27) (sqrt.f64 y)))) 1/3))
(.f64 27 (.f64 x (sqrt.f64 y)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)))) 2))
(.f64 27 (.f64 x (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (.f64 (.f64 x 27) (sqrt.f64 y))))
(.f64 27 (.f64 x (sqrt.f64 y)))

eval71.0ms (1.9%)

Compiler: Compiled 2365 to 1133 computations (52.1% saved)

prune59.0ms (1.6%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	169	6	175

Accuracy

100.0%

Counts

175 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.3%	(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
✓	73.0%	(.f64 (.f64 (*.f64 27 x) (sqrt.f64 y)) (sqrt.f64 y))
✓	99.7%	(.f64 (.f64 x 27) y)
✓	53.5%	(.f64 (.f64 27 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
✓	99.3%	(.f64 x (.f64 27 y))
✓	99.5%	(.f64 27 (.f64 x y))

Compiler

Compiled 100 to 63 computations (37% saved)

regimes45.0ms (1.2%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 27 (.f64 x y))
(.f64 x (.f64 27 y))
(.f64 (.f64 x 27) y)
(pow.f64 (sqrt.f64 (.f64 x (.f64 27 y))) 2)
(.f64 (.f64 (*.f64 27 x) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 27 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))

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

Calls

4 calls:

11.0ms	x
11.0ms	y
11.0ms	(*.f64 x 27)
9.0ms	(.f64 (.f64 x 27) y)

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(.f64 (.f64 x 27) y)`
99.7%	1	`(*.f64 x 27)`

Compiler

Compiled 63 to 39 computations (38.1% saved)

regimes14.0ms (0.4%)

Accuracy

Total -0.4b remaining (-124.2%)

Threshold costs -0.4b (-124.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	y
6.0ms	x

Results

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	13	26

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness42.0ms (1.2%)

Rules

248×	`fma-def`
36×	`distribute-lft-in`
32×	`sub-neg`
30×	`associate-r`
24×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	73
1	35	65
2	72	65
3	124	65
4	155	65
5	202	65
6	251	65
7	340	65

Stop Event

1×

saturated

Compiler

Compiled 12 to 8 computations (33.3% saved)

end0.0ms (0%)

preprocess58.0ms (1.6%)

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

analyze0.0ms (0%)

sample2.1s (58.1%)

preprocess38.0ms (1%)

eval1.0ms (0%)

prune7.0ms (0.2%)

localize98.0ms (2.6%)

series7.0ms (0.2%)

rewrite105.0ms (2.8%)

simplify99.0ms (2.7%)

eval5.0ms (0.1%)

prune8.0ms (0.2%)

localize117.0ms (3.2%)

series18.0ms (0.5%)

rewrite108.0ms (2.9%)

simplify138.0ms (3.7%)

eval71.0ms (1.9%)

prune48.0ms (1.3%)

localize98.0ms (2.6%)

series24.0ms (0.6%)

rewrite125.0ms (3.4%)

simplify137.0ms (3.7%)

eval71.0ms (1.9%)

prune59.0ms (1.6%)

regimes45.0ms (1.2%)

regimes14.0ms (0.4%)

simplify9.0ms (0.2%)

soundness42.0ms (1.2%)

end0.0ms (0%)

preprocess58.0ms (1.6%)

Profiling