Details

analyze80.0ms (5.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	6
59.4%	59.3%	40.6%	0.1%	0%	0%	0%	7
68.3%	67.1%	31.2%	0.1%	1.6%	0%	0%	8
76.6%	74.1%	22.6%	0.1%	3.1%	0%	0%	9
81.9%	77.7%	17.2%	0.1%	5.1%	0%	0%	10
87.2%	81%	11.9%	0.1%	7%	0%	0%	11
90.2%	82.6%	9%	0.1%	8.3%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample961.0ms (69.5%)

Results

920.0ms	8256×	body	256	valid
29.0ms	402×	body	256	infinite

Bogosity

preprocess14.0ms (1%)

Algorithm

2×	egg-herbie

Rules

8×	`associate-/r*`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	15	26
2	19	26
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 x (*.f64 y 2))
(/.f64 y (*.f64 x 2))

Outputs
(/.f64 x (*.f64 y 2))
(/.f64 y (*.f64 x 2))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify11.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

4×	`associate-/r*`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 x (*.f64 y 2))

Outputs
(/.f64 x (*.f64 y 2))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.37%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.37%	(/.f64 x (*.f64 y 2))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.37%	(/.f64 x (*.f64 y 2))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 x (*.f64 y 2))
1.0ms	x	@	inf	(/.f64 x (*.f64 y 2))
1.0ms	x	@	0	(/.f64 x (*.f64 y 2))
0.0ms	y	@	inf	(/.f64 x (*.f64 y 2))
0.0ms	x	@	-inf	(/.f64 x (*.f64 y 2))

rewrite55.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`add-sqr-sqrt`
1558×	`*-un-lft-identity`
1458×	`add-cube-cbrt`
1438×	`add-cbrt-cube`
1424×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	13
2	1912	13

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(/.f64 x (*.f64 y 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (/.f64 1/2 y))) (sqrt.f64 (.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 1 (.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 y 2))) (/.f64 x (sqrt.f64 (.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 y 2)) 2)) (/.f64 x (cbrt.f64 (.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) 2) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 y 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 x x)) y) (/.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 x x)) 2) (/.f64 (cbrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (.f64 y 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (.f64 y 2)) 2)) (cbrt.f64 (.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (/.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (/.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (/.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (/.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (/.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (/.f64 1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 y))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y 2))) (/.f64 x (sqrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 2) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) y) (/.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 2) (/.f64 (cbrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (*.f64 y 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (cbrt.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 y))))))))

simplify58.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1102×	`associate-+r+`
1016×	`associate-+l+`
990×	`associate-*r/`
942×	`distribute-lft-in`
870×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	1064
1	247	1046
2	896	1046
3	4067	1046

Stop Event

1×	node limit

Counts

62 → 48

Calls

Call 1

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

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

eval10.0ms (0.7%)

Compiler: Compiled 493 to 311 computations (36.9% saved)

prune7.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	2	49

Error

Counts

49 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.37%	(/.f64 x (*.f64 y 2))
▶	0.01%	(*.f64 (/.f64 x y) 1/2)

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 (/.f64 x y) 1/2)

Compiler

Compiled 13 to 6 computations (53.8% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (/.f64 x y) 1/2)
0.0ms	x	@	-inf	(*.f64 (/.f64 x y) 1/2)
0.0ms	x	@	inf	(*.f64 (/.f64 x y) 1/2)
0.0ms	y	@	-inf	(*.f64 (/.f64 x y) 1/2)
0.0ms	y	@	inf	(*.f64 (/.f64 x y) 1/2)

rewrite87.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`add-sqr-sqrt`
1504×	`*-un-lft-identity`
1404×	`add-cube-cbrt`
1388×	`add-cbrt-cube`
1374×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	13
2	1851	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 (/.f64 x y) 1/2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (/.f64 x y) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 x) 1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x 1/2) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x 1/2)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 x y) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 x y) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/4 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 x y) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 x y) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 x y) 1/2)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 x y) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) 1/2)))))))

simplify48.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1514×	`associate-/r/`
1454×	`distribute-lft-in`
1374×	`distribute-rgt-in`
928×	`associate-r`
782×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	608
1	147	608
2	558	602
3	3653	602

Stop Event

1×	node limit

Counts

46 → 26

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 (/.f64 x y) 1/2)) 1)
(/.f64 x (/.f64 y 1/2))
(/.f64 1/2 (/.f64 y x))
(/.f64 1 (/.f64 y (*.f64 x 1/2)))
(/.f64 (*.f64 x 1/2) y)
(/.f64 (*.f64 1/2 (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) 1/2) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x 1/2) 1) y)
(/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 y))
(pow.f64 (*.f64 (/.f64 x y) 1/2) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) 1/2) 3) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)))
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/2)))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x y) 1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) 1/2)))

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

eval4.0ms (0.3%)

Compiler: Compiled 190 to 119 computations (37.4% saved)

prune4.0ms (0.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	26	2	28

Error

Counts

28 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.37%	(/.f64 x (*.f64 y 2))
✓	0.01%	(*.f64 (/.f64 x y) 1/2)

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes13.0ms (1%)

Accuracy

Total -0.2b remaining (-6086.9%)

Threshold costs -0.2b (-6086.9%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 x y) 1/2)
(/.f64 x (*.f64 y 2))

Outputs
(*.f64 (/.f64 x y) 1/2)

Calls

4 calls:

4.0ms	(*.f64 y 2)
3.0ms	y
3.0ms	x
3.0ms	(/.f64 x (*.f64 y 2))

Results

Error	Segments	Branch
0.01%	1	`x`
0.01%	1	`y`
0.01%	1	`(/.f64 x (*.f64 y 2))`
0.01%	1	`(*.f64 y 2)`

Compiler

Compiled 30 to 21 computations (30% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	8	13

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 x y) 1/2)

Outputs
(*.f64 (/.f64 x y) 1/2)

Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness0.0ms (0%)

end10.0ms (0.7%)

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

Details

analyze80.0ms (5.8%)

sample961.0ms (69.5%)

preprocess14.0ms (1%)

simplify11.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.4%)

series3.0ms (0.2%)

rewrite55.0ms (3.9%)

simplify58.0ms (4.2%)

eval10.0ms (0.7%)

prune7.0ms (0.5%)

localize5.0ms (0.3%)

series0.0ms (0%)

rewrite87.0ms (6.3%)

simplify48.0ms (3.4%)

eval4.0ms (0.3%)

prune4.0ms (0.3%)

regimes13.0ms (1%)

simplify5.0ms (0.3%)

soundness0.0ms (0%)

end10.0ms (0.7%)

Profiling