Details

analyze322.0ms

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
31.2%	68.6%	0.1%	7
40.6%	59.3%	0.1%	8
43.7%	56.2%	0.1%	9
56.6%	43.3%	0.1%	10
61%	37.3%	1.7%	11
62.1%	34.8%	3.1%	12
68.6%	25.6%	5.8%	13
70.6%	22.1%	7.4%	14

sample33.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	356	7
1	356	7

prune4.0ms

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 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) z))
0.0b	(/ (- y x) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
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` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 51

Calls

2 calls:

11.0ms	(+ x (/ (- y x) z))
5.0ms	(/ (- y x) z)

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ x (/ (- y x) z))
6.0ms	(/ (- y x) z)

simplify39.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5763	519

prune57.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Merged error: 0b

Counts

58 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ y z) (/ x z))
0.0b	(+ x (- (/ y z) (/ x z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

12.0ms	(- (/ y z) (/ x z))
15.0ms	(+ x (- (/ y z) (/ x z)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- (/ y z) (/ x z))
6.0ms	(+ x (- (/ y z) (/ x z)))

simplify36.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4895	494
1	4895	494

prune46.0ms

Filtered

32 candidates to 44 candidates (-37.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	44	2	46

Merged error: 0b

Counts

46 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ (- x y) z) z)
2.9b	(+ (* x x) (* (- y x) (/ (/ (- x y) z) z)))
5.0b	(* (- y x) (/ (/ (- x y) z) z))
26.0b	(/ (+ (* x x) (* (- y x) (/ (/ (- x y) z) z))) (+ x (/ (- x y) z)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
170×	`add-sqr-sqrt`
169×	`*-un-lft-identity`
117×	`add-cube-cbrt`
61×	`associate-r`
22×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
20×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp` `associate-/r*`
6×	`pow1` `add-log-exp`
5×	`associate-l`
4×	`distribute-lft-out`
3×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
2×	`frac-times` `flip3--` `frac-2neg` `div-sub` `associate-*l/` `clear-num` `associate-/r/` `flip--`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative`

Counts

4 → 230

Calls

4 calls:

8.0ms	(/ (/ (- x y) z) z)
5.0ms	(+ (* x x) (* (- y x) (/ (/ (- x y) z) z)))
25.0ms	(* (- y x) (/ (/ (- x y) z) z))
14.0ms	(/ (+ (* x x) (* (- y x) (/ (/ (- x y) z) z))) (+ x (/ (- x y) z)))

series87.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ (/ (- x y) z) z)
21.0ms	(+ (* x x) (* (- y x) (/ (/ (- x y) z) z)))
11.0ms	(* (- y x) (/ (/ (- x y) z) z))
45.0ms	(/ (+ (* x x) (* (- y x) (/ (/ (- x y) z) z))) (+ x (/ (- x y) z)))

simplify97.0ms

Algorithm

egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4990	3931
1	4990	3931

prune199.0ms

Filtered

170 candidates to 242 candidates (-42.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	242	2	244

Merged error: 0b

Counts

244 → 2

regimes146.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	25	9
1	25	9

end0.0ms

sample818.0ms

Algorithm

intervals

Results

181.0ms

8000×

body

valid

Details

analyze322.0ms

sample33.0ms

simplify14.0ms

prune4.0ms

localize6.0ms

rewrite17.0ms

series12.0ms

simplify39.0ms

prune57.0ms

localize7.0ms

rewrite28.0ms

series11.0ms

simplify36.0ms

prune46.0ms

localize14.0ms

rewrite64.0ms

series87.0ms

simplify97.0ms

prune199.0ms

regimes146.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample818.0ms

Profiling