Details

analyze375.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	36×	body	80	invalid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4992	11
1	4992	11

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.0b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
0.0b	(/ (- x z) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `associate-+r+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `flip3--` `frac-2neg` `distribute-lft-in` `flip3-+` `div-sub` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv`

Counts

2 → 51

Calls

2 calls:

3.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
6.0ms	(/ (- x z) y)

series14.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
6.0ms	(/ (- x z) y)

simplify42.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4991	583
1	4991	583

prune64.0ms

Filtered

42 candidates to 57 candidates (-35.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Merged error: 0b

Counts

59 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* 4.0 (+ 0.75 (- (/ x y) (/ z y)))))
0.0b	(- (/ x y) (/ z y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`times-frac`
6×	`add-log-exp`
4×	`add-cube-cbrt` `distribute-lft-out--` `difference-of-squares`
2×	`pow1` `add-exp-log` `associate-+r+` `add-cbrt-cube` `div-inv`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-rgt-out--` `distribute-lft-in` `flip3-+` `diff-log` `sum-log` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

2 → 35

Calls

2 calls:

3.0ms	(+ 1.0 (* 4.0 (+ 0.75 (- (/ x y) (/ z y)))))
14.0ms	(- (/ x y) (/ z y))

series14.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 1.0 (* 4.0 (+ 0.75 (- (/ x y) (/ z y)))))
6.0ms	(- (/ x y) (/ z y))

simplify36.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5076	526

prune49.0ms

Filtered

33 candidates to 41 candidates (-24.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Merged error: 0b

Counts

43 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (- x z) (/ 4.0 y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`*-un-lft-identity`
10×	`times-frac`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
3×	`pow1`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 38

Calls

1 calls:

9.0ms

(* (- x z) (/ 4.0 y))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (- x z) (/ 4.0 y))

simplify36.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5919	376

prune43.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	41	2	43

Merged error: 0b

Counts

43 → 2

regimes114.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	13
1	32	13

end0.0ms

sample511.0ms

Algorithm

intervals

Results

295.0ms	8000×	body	80	valid
36.0ms	932×	body	80	invalid

Details

analyze375.0ms

sample20.0ms

simplify51.0ms

prune9.0ms

localize7.0ms

rewrite11.0ms

series14.0ms

simplify42.0ms

prune64.0ms

localize8.0ms

rewrite19.0ms

series14.0ms

simplify36.0ms

prune49.0ms

localize6.0ms

rewrite11.0ms

series8.0ms

simplify36.0ms

prune43.0ms

regimes114.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample511.0ms

Profiling