Details

analyze254.0ms

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

sample16.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	48×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	356	7
1	356	7

prune3.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

5.0ms	(/ (- y x) z)
8.0ms	(+ x (/ (- y x) z))

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify41.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5763	519

prune44.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0.0b

Counts

58 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ 1 z)))
0.2b	(* (- y x) (/ 1 z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ 1 z)))
11.0ms	(* (- y x) (/ 1 z))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ x (* (- y x) (/ 1 z)))
6.0ms	(* (- y x) (/ 1 z))

simplify26.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4986	478
1	4986	478

prune52.0ms

Filtered

39 candidates to 59 candidates (-51.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Merged error: 0b

Counts

61 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (/ 1 z))
0.1b	(sqrt (/ 1 z))
0.1b	(* (- y x) (sqrt (/ 1 z)))
0.2b	(* (* (- y x) (sqrt (/ 1 z))) (sqrt (/ 1 z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

55×	`sqrt-prod`
54×	`add-sqr-sqrt`
42×	`times-frac`
40×	`*-un-lft-identity`
35×	`add-cube-cbrt`
32×	`associate-r`
17×	`sqrt-div`
15×	`pow1`
11×	`add-exp-log` `frac-times` `associate-*l/` `add-cbrt-cube`
6×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `associate-l` `flip--`
4×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
2×	`pow-flip` `pow1/2` `*-commutative` `inv-pow`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 139

Calls

4 calls:

3.0ms	(sqrt (/ 1 z))
3.0ms	(sqrt (/ 1 z))
11.0ms	(* (- y x) (sqrt (/ 1 z)))
15.0ms	(* (* (- y x) (sqrt (/ 1 z))) (sqrt (/ 1 z)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (/ 1 z))
3.0ms	(sqrt (/ 1 z))
13.0ms	(* (- y x) (sqrt (/ 1 z)))
9.0ms	(* (* (- y x) (sqrt (/ 1 z))) (sqrt (/ 1 z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5095	1365

prune183.0ms

Filtered

106 candidates to 151 candidates (-42.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	151	3	154

Merged error: 0b

Counts

154 → 3

regimes166.0ms

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	17	7
1	17	7

end0.0ms

sample391.0ms

Algorithm

intervals

Results

182.0ms	8000×	body	80	valid
34.0ms	1443×	body	80	invalid

Details

analyze254.0ms

sample16.0ms

simplify13.0ms

prune3.0ms

localize5.0ms

rewrite15.0ms

series13.0ms

simplify41.0ms

prune44.0ms

localize6.0ms

rewrite17.0ms

series12.0ms

simplify26.0ms

prune52.0ms

localize9.0ms

rewrite37.0ms

series29.0ms

simplify49.0ms

prune183.0ms

regimes166.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample391.0ms

Profiling