Details

analyze68.0ms (2.7%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
40.6%	40.6%	59.3%	0.1%	0%	0%	0%	7
46%	45.3%	53.1%	0.1%	1.6%	0%	0%	8
65.3%	63.2%	33.6%	0.1%	3.1%	0%	0%	9
69.5%	66%	28.9%	0.1%	5.1%	0%	0%	10
80.9%	75.1%	17.8%	0.1%	7%	0%	0%	11
83.6%	76.6%	15%	0.1%	8.3%	0%	0%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample1.0s (40.5%)

Results

898.0ms	8256×	body	256	valid
102.0ms	405×	body	256	infinite

Bogosity

preprocess4.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	11	38
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (+.f64 y x) (+.f64 x x))

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (+.f64 y x) (+.f64 x x))
(/.f64 (+.f64 x y) (+.f64 x x))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	8	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))

eval0.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% 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

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 x y) (+.f64 y y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y y))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite242.0ms (9.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1272×	`rational_best-1`
1256×	`rational_best-2`
1248×	`rational_best-4`
1248×	`rational_best-3`
1222×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	45	19
2	73	19
3	91	19
4	134	19
5	238	19
6	572	19
7	2006	19
8	3757	19
9	6268	19

Stop Event

1×	node limit

Counts

1 → 75

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x y) (.f64 y -2)) (.f64 (+.f64 x y) (/.f64 2 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x y) (/.f64 2 (+.f64 y y))) (/.f64 (+.f64 x y) (.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x y) (/.f64 2 (.f64 y -2))) (.f64 (/.f64 (+.f64 x y) (.f64 y -2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 4) (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 x y) (.f64 y -2)) -3) (.f64 (+.f64 x y) (/.f64 2 (.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -3) (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 (+.f64 x y) (/.f64 2 (+.f64 y y)))) (+.f64 -1 (/.f64 (+.f64 x y) (.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (+.f64 x y) (.f64 y -2))) (+.f64 -1 (.f64 (+.f64 x y) (/.f64 2 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -4) (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (.f64 (+.f64 x y) (/.f64 2 (+.f64 y y)))) (+.f64 1 (/.f64 (+.f64 x y) (.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 5) (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (+.f64 x y) (.f64 y -2))) (+.f64 1 (.f64 (+.f64 x y) (/.f64 2 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 x y) (.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (/.f64 (+.f64 y (+.f64 x (+.f64 y y))) (.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x y) (.f64 y -2)) (.f64 (+.f64 x y) (/.f64 2 (.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x y) (/.f64 2 (+.f64 y y))) (/.f64 (+.f64 x y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x y) (/.f64 2 (.f64 y -2))) (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 4) (.f64 (/.f64 (+.f64 x y) (.f64 y -2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (+.f64 x y) (.f64 y -2)) -3) (.f64 (+.f64 x y) (/.f64 2 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -3) (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -4) (-.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -4) (/.f64 (+.f64 x y) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -4) (+.f64 (.f64 (+.f64 x y) (/.f64 2 (.f64 y -2))) (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -4) (neg.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 6)) (neg.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 6)) (+.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -3) (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 8) (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 7))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 6) (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 2 (+.f64 x (+.f64 x y))) (+.f64 y y)) (/.f64 (+.f64 x (+.f64 x (+.f64 x y))) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 2 (+.f64 x (+.f64 y y))) (+.f64 y y)) (/.f64 (+.f64 y (+.f64 x (+.f64 y y))) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x x) (.f64 y -2)) (/.f64 (+.f64 x (+.f64 x (+.f64 x y))) (.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (.f64 (+.f64 x y) (/.f64 2 (+.f64 y y)))) (+.f64 1 (.f64 (+.f64 x y) (/.f64 2 (+.f64 y y))))) (+.f64 (+.f64 1 (.f64 (+.f64 x y) (/.f64 2 (+.f64 y y)))) (+.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x y) (/.f64 1 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x y) (+.f64 (/.f64 2 (.f64 y -2)) (.f64 (/.f64 1 (+.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x y) (+.f64 (/.f64 2 (.f64 y -2)) (-.f64 (/.f64 1 (+.f64 y y)) (/.f64 2 (.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x y) (+.f64 (.f64 (/.f64 1 (+.f64 y y)) 4) (-.f64 (/.f64 1 (.f64 y -2)) (/.f64 2 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x y) (+.f64 (.f64 (/.f64 1 (+.f64 y y)) 4) (.f64 (/.f64 1 (.f64 y -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x y) (+.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 x y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 y y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 y y)) (+.f64 (.f64 (+.f64 x y) -2) (.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 y y)) (+.f64 (.f64 (+.f64 x y) -2) (-.f64 (.f64 (+.f64 x y) 4) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 y y)) (+.f64 (.f64 (+.f64 x y) 4) (-.f64 (+.f64 x y) (.f64 (+.f64 x y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 y y)) (+.f64 (.f64 (+.f64 x y) 4) (.f64 (neg.f64 (+.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 x y)) (/.f64 1 (.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 x y)) (+.f64 (.f64 (/.f64 1 (+.f64 y y)) 3) (.f64 2 (/.f64 2 (.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 x y)) (+.f64 (/.f64 2 (+.f64 y y)) (-.f64 (/.f64 1 (.f64 y -2)) (/.f64 2 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 x y)) (+.f64 (/.f64 2 (+.f64 y y)) (.f64 (/.f64 1 (.f64 y -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (+.f64 x y) (.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x y) (.f64 y -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 y -2)) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 y -2)) (+.f64 (.f64 (+.f64 x y) 3) (neg.f64 (.f64 (+.f64 x y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 y -2)) (+.f64 (.f64 (+.f64 x y) 2) (-.f64 (+.f64 x y) (.f64 (+.f64 x y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 y -2)) (+.f64 (.f64 (+.f64 x y) 2) (.f64 (neg.f64 (+.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 2 (.f64 y -2)) (.f64 (/.f64 1 (+.f64 y y)) 3)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (+.f64 x y) -2) (.f64 (+.f64 x y) 3)) (/.f64 1 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (/.f64 1 (+.f64 y y)) 3) (.f64 2 (/.f64 2 (.f64 y -2)))) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (+.f64 x y) 3) (neg.f64 (.f64 (+.f64 x y) 4))) (/.f64 1 (.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 2 (.f64 y -2)) (-.f64 (/.f64 1 (+.f64 y y)) (/.f64 2 (.f64 y -2)))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (+.f64 x y) -2) (-.f64 (.f64 (+.f64 x y) 4) (+.f64 x y))) (/.f64 1 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 2 (+.f64 y y)) (-.f64 (/.f64 1 (.f64 y -2)) (/.f64 2 (+.f64 y y)))) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 2 (+.f64 y y)) (.f64 (/.f64 1 (.f64 y -2)) 3)) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (+.f64 x y) 2) (-.f64 (+.f64 x y) (.f64 (+.f64 x y) 4))) (/.f64 1 (.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (+.f64 x y) 2) (.f64 (neg.f64 (+.f64 x y)) 3)) (/.f64 1 (.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (/.f64 1 (+.f64 y y)) 4) (-.f64 (/.f64 1 (.f64 y -2)) (/.f64 2 (+.f64 y y)))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (/.f64 1 (+.f64 y y)) 4) (.f64 (/.f64 1 (.f64 y -2)) 3)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (+.f64 x y) 4) (-.f64 (+.f64 x y) (.f64 (+.f64 x y) 4))) (/.f64 1 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (+.f64 x y) 4) (.f64 (neg.f64 (+.f64 x y)) 3)) (/.f64 1 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (.f64 y -2)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x y) (*.f64 y -2)) (*.f64 (+.f64 x y) (/.f64 2 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x y) (/.f64 2 (+.f64 y y))) (/.f64 (+.f64 x y) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x y) (/.f64 2 (*.f64 y -2))) (*.f64 (/.f64 (+.f64 x y) (*.f64 y -2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 4) (*.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 y -2)) -3) (*.f64 (+.f64 x y) (/.f64 2 (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -3) (*.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (+.f64 x y) (/.f64 2 (+.f64 y y)))) (+.f64 -1 (/.f64 (+.f64 x y) (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (+.f64 x y) (*.f64 y -2))) (+.f64 -1 (*.f64 (+.f64 x y) (/.f64 2 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -4) (*.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 (+.f64 x y) (/.f64 2 (+.f64 y y)))) (+.f64 1 (/.f64 (+.f64 x y) (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 5) (*.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (+.f64 x y) (*.f64 y -2))) (+.f64 1 (*.f64 (+.f64 x y) (/.f64 2 (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 x y) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (/.f64 (+.f64 y (+.f64 x (+.f64 y y))) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x y) (*.f64 y -2)) (*.f64 (+.f64 x y) (/.f64 2 (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x y) (/.f64 2 (+.f64 y y))) (/.f64 (+.f64 x y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x y) (/.f64 2 (*.f64 y -2))) (*.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 4) (*.f64 (/.f64 (+.f64 x y) (*.f64 y -2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 y -2)) -3) (*.f64 (+.f64 x y) (/.f64 2 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 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simplify310.0ms (12.2%)

Algorithm

1×	egg-herbie

Rules

1330×	`rational_best-simplify-2`
1236×	`rational_best-simplify-1`
1082×	`rational_best-simplify-47`
892×	`rational_best-simplify-53`
648×	`rational_best-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	2589
1	281	2589
2	468	2589
3	866	2589
4	2106	2589
5	3743	2589
6	5684	2589
7	6311	2589
8	7243	2589
9	7469	2589
10	7553	2589
11	7695	2589

Stop Event

1×	node limit

Counts

99 → 103

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 0)
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(+.f64 (/.f64 (+.f64 x y) (.f64 y -2)) (.f64 (+.f64 x y) (/.f64 2 (+.f64 y y))))
(+.f64 (.f64 (+.f64 x y) (/.f64 2 (+.f64 y y))) (/.f64 (+.f64 x y) (.f64 y -2)))
(+.f64 (.f64 (+.f64 x y) (/.f64 2 (.f64 y -2))) (.f64 (/.f64 (+.f64 x y) (.f64 y -2)) -3))
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(-.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 0)
(-.f64 0 (/.f64 (+.f64 x y) (*.f64 y -2)))
(-.f64 -1 (/.f64 (+.f64 y (+.f64 x (+.f64 y y))) (*.f64 y -2)))
(-.f64 (/.f64 (+.f64 x y) (.f64 y -2)) (.f64 (+.f64 x y) (/.f64 2 (*.f64 y -2))))
(-.f64 (*.f64 (+.f64 x y) (/.f64 2 (+.f64 y y))) (/.f64 (+.f64 x y) (+.f64 y y)))
(-.f64 (.f64 (+.f64 x y) (/.f64 2 (.f64 y -2))) (*.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -3))
(-.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 4) (.f64 (/.f64 (+.f64 x y) (*.f64 y -2)) -3))
(-.f64 (.f64 (/.f64 (+.f64 x y) (.f64 y -2)) -3) (*.f64 (+.f64 x y) (/.f64 2 (+.f64 y y))))
(-.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -3) (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -4))
(-.f64 (+.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 1) 1)
(-.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -4) (-.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -4) (/.f64 (+.f64 x y) (+.f64 y y))))
(-.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -4) (+.f64 (.f64 (+.f64 x y) (/.f64 2 (.f64 y -2))) (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -3)))
(-.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -4) (neg.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 5)))
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(-.f64 (neg.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 6)) (+.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -3) (*.f64 (/.f64 (+.f64 x y) (+.f64 y y)) -4)))
(-.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 8) (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 7))
(-.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 6) (.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 5))
(-.f64 (/.f64 (*.f64 2 (+.f64 x (+.f64 x y))) (+.f64 y y)) (/.f64 (+.f64 x (+.f64 x (+.f64 x y))) (+.f64 y y)))
(-.f64 (/.f64 (*.f64 2 (+.f64 x (+.f64 y y))) (+.f64 y y)) (/.f64 (+.f64 y (+.f64 x (+.f64 y y))) (+.f64 y y)))
(-.f64 (/.f64 (+.f64 x x) (.f64 y -2)) (/.f64 (+.f64 x (+.f64 x (+.f64 x y))) (.f64 y -2)))
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(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y y)))
(.f64 (+.f64 x y) (+.f64 (/.f64 2 (.f64 y -2)) (*.f64 (/.f64 1 (+.f64 y y)) 3)))
(.f64 (+.f64 x y) (+.f64 (/.f64 2 (.f64 y -2)) (-.f64 (/.f64 1 (+.f64 y y)) (/.f64 2 (*.f64 y -2)))))
(.f64 (+.f64 x y) (+.f64 (.f64 (/.f64 1 (+.f64 y y)) 4) (-.f64 (/.f64 1 (*.f64 y -2)) (/.f64 2 (+.f64 y y)))))
(.f64 (+.f64 x y) (+.f64 (.f64 (/.f64 1 (+.f64 y y)) 4) (.f64 (/.f64 1 (.f64 y -2)) 3)))
(*.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 1)
(*.f64 1 (/.f64 (+.f64 x y) (+.f64 y y)))
(*.f64 (/.f64 1 (+.f64 y y)) (+.f64 x y))
(.f64 (/.f64 1 (+.f64 y y)) (+.f64 (.f64 (+.f64 x y) -2) (*.f64 (+.f64 x y) 3)))
(.f64 (/.f64 1 (+.f64 y y)) (+.f64 (.f64 (+.f64 x y) -2) (-.f64 (*.f64 (+.f64 x y) 4) (+.f64 x y))))
(.f64 (/.f64 1 (+.f64 y y)) (+.f64 (.f64 (+.f64 x y) 4) (-.f64 (+.f64 x y) (*.f64 (+.f64 x y) 4))))
(.f64 (/.f64 1 (+.f64 y y)) (+.f64 (.f64 (+.f64 x y) 4) (*.f64 (neg.f64 (+.f64 x y)) 3)))
(.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (.f64 y -2)))
(.f64 (neg.f64 (+.f64 x y)) (+.f64 (.f64 (/.f64 1 (+.f64 y y)) 3) (.f64 2 (/.f64 2 (.f64 y -2)))))
(.f64 (neg.f64 (+.f64 x y)) (+.f64 (/.f64 2 (+.f64 y y)) (-.f64 (/.f64 1 (.f64 y -2)) (/.f64 2 (+.f64 y y)))))
(.f64 (neg.f64 (+.f64 x y)) (+.f64 (/.f64 2 (+.f64 y y)) (.f64 (/.f64 1 (*.f64 y -2)) 3)))
(.f64 -1 (/.f64 (+.f64 x y) (.f64 y -2)))
(.f64 (/.f64 (+.f64 x y) (.f64 y -2)) -1)
(.f64 (/.f64 1 (.f64 y -2)) (neg.f64 (+.f64 x y)))
(.f64 (/.f64 1 (.f64 y -2)) (+.f64 (.f64 (+.f64 x y) 3) (neg.f64 (.f64 (+.f64 x y) 4))))
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1/2
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(.f64 (+.f64 x y) (+.f64 (.f64 4 (/.f64 1 (+.f64 y y))) (-.f64 (/.f64 1 (*.f64 y -2)) (/.f64 2 (+.f64 y y)))))
(.f64 (+.f64 x y) (+.f64 (.f64 4 (/.f64 1 (+.f64 y y))) (-.f64 (/.f64 -1 (+.f64 y y)) (/.f64 2 (+.f64 y y)))))
(.f64 (+.f64 (.f64 (/.f64 1 (+.f64 y y)) 4) (.f64 (/.f64 1 (.f64 y -2)) 3)) (+.f64 x y))
(.f64 (+.f64 x y) (+.f64 (.f64 4 (/.f64 1 (+.f64 y y))) (.f64 3 (/.f64 1 (.f64 y -2)))))
(.f64 (+.f64 x y) (+.f64 (.f64 4 (/.f64 1 (+.f64 y y))) (*.f64 3 (/.f64 -1 (+.f64 y y)))))
(.f64 (+.f64 (.f64 (+.f64 x y) 4) (-.f64 (+.f64 x y) (*.f64 (+.f64 x y) 4))) (/.f64 1 (+.f64 y y)))
(/.f64 (+.f64 x y) (+.f64 y y))
(.f64 (+.f64 (.f64 (+.f64 x y) 4) (*.f64 (neg.f64 (+.f64 x y)) 3)) (/.f64 1 (+.f64 y y)))
(/.f64 (+.f64 x y) (+.f64 y y))
(pow.f64 (/.f64 (+.f64 x y) (+.f64 y y)) 1)
(/.f64 (+.f64 x y) (+.f64 y y))
(neg.f64 (/.f64 (+.f64 x y) (*.f64 y -2)))
(/.f64 (+.f64 x y) (+.f64 y y))

eval25.0ms (1%)

Compiler: Compiled 1838 to 808 computations (56% saved)

prune15.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	4	104

Error

0.0b

Counts

104 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y y))
▶	0.3b	(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
▶	36.5b	(*.f64 1/2 (/.f64 x y))
	27.7b	1/2

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 1/2 (/.f64 x y))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/2 (/.f64 x y))
0.0ms	x	@	inf	(*.f64 1/2 (/.f64 x y))
0.0ms	y	@	inf	(*.f64 1/2 (/.f64 x y))
0.0ms	y	@	0	(*.f64 1/2 (/.f64 x y))
0.0ms	x	@	-inf	(*.f64 1/2 (/.f64 x y))

rewrite79.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1196×	`rational_best-1`
1172×	`rational_best-2`
1164×	`rational_best-4`
1164×	`rational_best-3`
1140×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	13
2	71	13
3	89	13
4	135	13
5	244	13
6	566	13
7	1922	13
8	3645	13
9	6012	13

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (/.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 x y) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (/.f64 x y) -1/2))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 x y) -1/2))))))

simplify181.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

1316×	`rational_best-simplify-2`
996×	`rational_best-simplify-41`
856×	`rational_best-simplify-46`
782×	`rational_best-simplify-49`
782×	`rational_best-simplify-33`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	130
1	41	130
2	57	130
3	89	130
4	104	130
5	109	130
6	115	130
7	123	130
8	142	130
9	193	130
10	375	130
11	874	130
12	1006	130
13	1122	130
14	1246	130
15	1584	130
16	2316	130
17	4575	130
18	5416	130
19	5907	130
20	6631	130
21	7872	130

Stop Event

1×	node limit

Counts

10 → 11

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 (/.f64 x y)) 0)
(+.f64 0 (*.f64 1/2 (/.f64 x y)))
(-.f64 (*.f64 1/2 (/.f64 x y)) 0)
(-.f64 0 (*.f64 (/.f64 x y) -1/2))
(/.f64 (*.f64 1/2 (/.f64 x y)) 1)
(/.f64 (*.f64 1/2 x) y)
(/.f64 (*.f64 (/.f64 x y) -1/2) -1)
(/.f64 (*.f64 x -1/2) (neg.f64 y))
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1)
(neg.f64 (*.f64 (/.f64 x y) -1/2))

Outputs
(+.f64 (*.f64 1/2 (/.f64 x y)) 0)
(*.f64 1/2 (/.f64 x y))
(+.f64 0 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(-.f64 (*.f64 1/2 (/.f64 x y)) 0)
(*.f64 1/2 (/.f64 x y))
(-.f64 0 (*.f64 (/.f64 x y) -1/2))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 (/.f64 x y)) 1)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 (/.f64 x y) -1/2) -1)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x -1/2) (neg.f64 y))
(*.f64 1/2 (/.f64 x y))
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1)
(*.f64 1/2 (/.f64 x y))
(neg.f64 (*.f64 (/.f64 x y) -1/2))
(*.f64 1/2 (/.f64 x y))

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
	0.2b	(*.f64 1/2 (/.f64 x y))

Compiler

Compiled 20 to 10 computations (50% saved)

series1.0ms (0%)

Counts

1 → 6

Calls

6 calls:

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

rewrite119.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1198×	`rational_best-1`
1174×	`rational_best-2`
1166×	`rational_best-4`
1166×	`rational_best-3`
1142×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	52	19
2	80	19
3	99	19
4	145	19
5	254	19
6	574	19
7	1947	19
8	3683	19
9	6061	19

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) 1)))))

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`rational_best-simplify-2`
2×	`rational_best-simplify-5`
2×	`rational_best-simplify-4`
2×	`exponential-simplify-11`
2×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	137
1	17	137
2	20	137

Stop Event

1×

saturated

Counts

11 → 8

Calls

Call 1

Inputs
1/2
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
1/2
1/2
(-.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) 0)
(.f64 (+.f64 1/2 (.f64 1/2 (/.f64 x y))) 1)
(.f64 1 (+.f64 1/2 (.f64 1/2 (/.f64 x y))))
(/.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) 1)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) 1)

Outputs
1/2
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
1/2
1/2
(-.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) 0)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(.f64 (+.f64 1/2 (.f64 1/2 (/.f64 x y))) 1)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(.f64 1 (+.f64 1/2 (.f64 1/2 (/.f64 x y))))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(/.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) 1)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) 1)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))

eval6.0ms (0.2%)

Compiler: Compiled 224 to 141 computations (37.1% saved)

prune4.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	1	1
Picked	0	1	1
Done	2	0	2
Total	31	3	34

Error

0.0b

Counts

34 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.2b	(/.f64 (*.f64 1/2 x) y)
✓	0.3b	(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
	27.7b	1/2

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize5.0ms (0.2%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune6.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

0.0b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	36.2b	(/.f64 (*.f64 1/2 x) y)
✓	0.3b	(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
	27.7b	1/2

Compiler

Compiled 19 to 15 computations (21.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	2	2
Total	3	3

Error

0.0b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	36.2b	(/.f64 (*.f64 1/2 x) y)
✓	0.3b	(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
	27.7b	1/2

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes14.0ms (0.6%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))

Calls

3 calls:

5.0ms	x
4.0ms	y
3.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes10.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
4.0ms	y

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes34.0ms (1.3%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	x
16.0ms	y

Results

Error	Segments	Branch
15.0b	5	`x`
18.1b	5	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch58.0ms (2.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	6.263423769361125e+85	6.329745353107818e+91
15.0ms	3.8614685379448665e+44	2.857675263513689e+53
13.0ms	1.6674125309131125e-7	0.0002497515904679972
14.0ms	-3969220.9377787374	-10.991977608794437

Results

49.0ms	560×	body	256	valid
2.0ms	26×	body	256	infinite

Compiler

Compiled 434 to 359 computations (17.3% saved)

regimes29.0ms (1.1%)

Accuracy

Total -46.5b remaining (-304.8%)

Threshold costs -46.5b (-304.8%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	y
14.0ms	x

Results

Error	Segments	Branch
15.3b	5	`x`
18.4b	5	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch203.0ms (8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
110.0ms	6.329745353107818e+91	1.622096781759009e+105
15.0ms	3.8614685379448665e+44	2.857675263513689e+53
63.0ms	1.6674125309131125e-7	0.0002497515904679972
15.0ms	-3969220.9377787374	-10.991977608794437

Results

143.0ms	576×	body	256	valid
2.0ms	24×	body	256	infinite

Compiler

Compiled 446 to 369 computations (17.3% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	193

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(if (<=.f64 x -3850000) (.f64 1/2 (/.f64 x y)) (if (<=.f64 x 8500259669165361/9444732965739290427392) 1/2 (if (<=.f64 x 2399999999999999850807477239976319853127394232631296) (.f64 1/2 (/.f64 x y)) (if (<=.f64 x 104999999999999994634476652430297880817098651448763328773145160482442063083846338871296) 1/2 (/.f64 (*.f64 1/2 x) y)))))
(if (<=.f64 x -1920) (.f64 1/2 (/.f64 x y)) (if (<=.f64 x 112986307451471/4611686018427387904) 1/2 (if (<=.f64 x 329999999999999990130236680493140618292534181888) (.f64 1/2 (/.f64 x y)) (if (<=.f64 x 449999999999999990571761329249584877087885744056395726988802038791111555935960497945313280000) 1/2 (*.f64 1/2 (/.f64 x y))))))
1/2

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(if (<=.f64 x -3850000) (.f64 1/2 (/.f64 x y)) (if (<=.f64 x 8500259669165361/9444732965739290427392) 1/2 (if (<=.f64 x 2399999999999999850807477239976319853127394232631296) (.f64 1/2 (/.f64 x y)) (if (<=.f64 x 104999999999999994634476652430297880817098651448763328773145160482442063083846338871296) 1/2 (/.f64 (*.f64 1/2 x) y)))))
(if (<=.f64 x -1920) (.f64 1/2 (/.f64 x y)) (if (<=.f64 x 112986307451471/4611686018427387904) 1/2 (if (<=.f64 x 329999999999999990130236680493140618292534181888) (.f64 1/2 (/.f64 x y)) (if (<=.f64 x 449999999999999990571761329249584877087885744056395726988802038791111555935960497945313280000) 1/2 (*.f64 1/2 (/.f64 x y))))))
1/2

Compiler

Compiled 91 to 62 computations (31.9% saved)

soundness0.0ms (0%)

end43.0ms (1.7%)

Compiler: Compiled 83 to 52 computations (37.3% saved)

Details

analyze68.0ms (2.7%)

sample1.0s (40.5%)

preprocess4.0ms (0.2%)

simplify12.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite242.0ms (9.5%)

simplify310.0ms (12.2%)

eval25.0ms (1%)

prune15.0ms (0.6%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite79.0ms (3.1%)

simplify181.0ms (7.2%)

localize7.0ms (0.3%)

series1.0ms (0%)

rewrite119.0ms (4.7%)

simplify11.0ms (0.4%)

eval6.0ms (0.2%)

prune4.0ms (0.2%)

localize5.0ms (0.2%)

eval0.0ms (0%)

prune6.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes14.0ms (0.6%)

regimes10.0ms (0.4%)

regimes34.0ms (1.3%)

bsearch58.0ms (2.3%)

regimes29.0ms (1.1%)

bsearch203.0ms (8%)

simplify4.0ms (0.2%)

soundness0.0ms (0%)

end43.0ms (1.7%)

Profiling