Details

analyze275.0ms (7.5%)

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)

sample2.2s (60.9%)

Results

2.2s	8256×	body	256	valid
50.0ms	390×	body	256	infinite

Bogosity

preprocess26.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

2×	`rational.json-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)

simplify153.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-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)

localize7.0ms (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	y	@	0	(/.f64 (+.f64 x y) (+.f64 y y))
1.0ms	x	@	inf	(/.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))

rewrite83.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`rational.json-5`
1460×	`exponential.json-3`
1460×	`rational.json-1`
1460×	`rational.json-2`
1460×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	59	19
2	204	19
3	731	19
4	2832	19

Stop Event

1×	node limit

Counts

1 → 17

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

simplify213.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1120×	`rational.json-simplify-111`
990×	`rational.json-simplify-47`
930×	`rational.json-simplify-58`
928×	`rational.json-simplify-1`
852×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	707
1	86	707
2	173	707
3	814	707
4	3538	707
5	5870	707

Stop Event

1×	node limit

Counts

41 → 21

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

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

eval3.0ms (0.1%)

Compiler: Compiled 478 to 62 computations (87% saved)

prune10.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	3	22

Error

Counts

22 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
▶	38.6b	(*.f64 1/2 (/.f64 x y))
	24.4b	1/2

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series6.0ms (0.2%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 1/2 (/.f64 x y))
1.0ms	x	@	inf	(*.f64 1/2 (/.f64 x y))
1.0ms	y	@	inf	(*.f64 1/2 (/.f64 x y))
1.0ms	y	@	0	(*.f64 1/2 (/.f64 x y))
1.0ms	x	@	-inf	(*.f64 1/2 (/.f64 x y))

rewrite101.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`rational.json-5`
1314×	`exponential.json-3`
1314×	`rational.json-1`
1314×	`rational.json-2`
1314×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	58	13
2	191	13
3	697	13
4	2590	13

Stop Event

1×	node limit

Counts

1 → 9

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

simplify278.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

1218×	`rational.json-simplify-104`
1186×	`rational.json-simplify-42`
1056×	`rational.json-simplify-79`
970×	`rational.json-simplify-73`
920×	`rational.json-simplify-80`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	117
1	47	117
2	90	117
3	219	117
4	547	117
5	1650	117
6	2768	117
7	4181	117
8	4972	117
9	6395	117
10	6970	117

Stop Event

1×	node limit

Counts

9 → 10

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

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

localize15.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

eval7.0ms (0.2%)

Compiler: Compiled 180 to 108 computations (40% saved)

prune7.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	20	3	23

Error

Counts

23 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
✓	38.6b	(*.f64 1/2 (/.f64 x y))
	24.4b	1/2

Compiler

Compiled 19 to 15 computations (21.1% saved)

eval0.0ms (0%)

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

prune10.0ms (0.3%)

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

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
✓	38.6b	(*.f64 1/2 (/.f64 x y))
	24.4b	1/2

Compiler

Compiled 19 to 15 computations (21.1% saved)

eval0.0ms (0%)

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

prune3.0ms (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

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
✓	38.6b	(*.f64 1/2 (/.f64 x y))
	24.4b	1/2

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes24.0ms (0.7%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
7.0ms	y
5.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 37 to 22 computations (40.5% saved)

regimes80.0ms (2.2%)

Accuracy

Total -46.9b remaining (-322.8%)

Threshold costs -46.9b (-322.8%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

53.0ms	x
25.0ms	y

Results

Error	Segments	Branch
14.8b	5	`x`
14.5b	3	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch52.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	5.938699351852989e-36	1.0546118317768262e-33
29.0ms	-9.480814565459658e-138	-1.545209784155125e-142

Results

40.0ms	240×	body	256	valid
4.0ms	23×	body	256	infinite

Compiler

Compiled 194 to 159 computations (18% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	53

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y -7709489559716993/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256) 1/2 (if (<=.f64 y 3086691458042867/93536104789177786765035829293842113257979682750464) (*.f64 1/2 (/.f64 x y)) 1/2))

1/2

Outputs

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

(if (<=.f64 y -7709489559716993/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256) 1/2 (if (<=.f64 y 3086691458042867/93536104789177786765035829293842113257979682750464) (*.f64 1/2 (/.f64 x y)) 1/2))

1/2

Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness0.0ms (0%)

end50.0ms (1.4%)

Compiler: Compiled 25 to 18 computations (28% saved)

Details

analyze275.0ms (7.5%)

sample2.2s (60.9%)

preprocess26.0ms (0.7%)

simplify153.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite83.0ms (2.3%)

simplify213.0ms (5.8%)

eval3.0ms (0.1%)

prune10.0ms (0.3%)

localize9.0ms (0.3%)

series6.0ms (0.2%)

rewrite101.0ms (2.8%)

simplify278.0ms (7.6%)

localize15.0ms (0.4%)

eval7.0ms (0.2%)

prune7.0ms (0.2%)

eval0.0ms (0%)

prune10.0ms (0.3%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes24.0ms (0.7%)

regimes80.0ms (2.2%)

bsearch52.0ms (1.4%)

simplify6.0ms (0.2%)

soundness0.0ms (0%)

end50.0ms (1.4%)

Profiling