Details

sample818.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.332642%

Guaranteed chance to sample good point: 86.876512%

Results

8.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	65	6
2	132	6
3	208	6
4	250	6
5	287	6
6	307	6
7	347	6
8	420	6
9	573	6
10	1883	6
11	5001	6

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: 18.2b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
17.9b	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 70

Calls

2 calls:

11.0ms	(* (+ t1 u) (+ t1 u))
11.0ms	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

series20.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* (+ t1 u) (+ t1 u))
16.0ms	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

simplify57.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	381	490
1	2039	406
2	5001	402

prune79.0ms

Filtered

41 candidates to 76 candidates (-85.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	70	6	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ (neg t1) (+ t1 u))
0.8b	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`add-log-exp`
2×	`frac-2neg` `distribute-frac-neg` `clear-num`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 192

Calls

3 calls:

5.0ms	(/ v (+ t1 u))
7.0ms	(/ (neg t1) (+ t1 u))
29.0ms	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

series32.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ v (+ t1 u))
5.0ms	(/ (neg t1) (+ t1 u))
21.0ms	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

simplify64.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	593	1281
1	2692	1197
2	5002	1197

prune143.0ms

Filtered

134 candidates to 201 candidates (-50.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	198	3	201
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	201	6	207

Merged error: 0b

Counts

207 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.7b	(/ (* (neg t1) (/ v (+ t1 u))) (+ t1 u))
6.8b	(* (neg t1) (/ v (+ t1 u)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
29×	`times-frac`
25×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
10×	`associate-l`
9×	`distribute-lft-out`
8×	`associate-/r*`
6×	`cbrt-undiv` `div-exp` `associate-/r/`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `flip-+` `div-inv` `add-log-exp`
2×	`distribute-lft-neg-out` `frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`neg-mul-1` `distribute-frac-neg` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 107

Calls

3 calls:

5.0ms	(/ v (+ t1 u))
11.0ms	(/ (* (neg t1) (/ v (+ t1 u))) (+ t1 u))
14.0ms	(* (neg t1) (/ v (+ t1 u)))

series32.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ v (+ t1 u))
16.0ms	(/ (* (neg t1) (/ v (+ t1 u))) (+ t1 u))
10.0ms	(* (neg t1) (/ v (+ t1 u)))

simplify51.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	385	649
1	2067	570
2	5001	570

prune89.0ms

Filtered

78 candidates to 116 candidates (-48.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	116	6	122

Merged error: 0b

Counts

122 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ t1 u) t1)
0.0b	(/ v (+ t1 u))
0.1b	(/ -1 (/ (+ t1 u) t1))
0.8b	(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

225×	`times-frac`
184×	`*-un-lft-identity`
141×	`add-sqr-sqrt`
120×	`add-cube-cbrt`
53×	`associate-l`
34×	`add-exp-log` `add-cbrt-cube`
32×	`distribute-lft-out`
23×	`associate-/r*`
18×	`associate-r`
14×	`cbrt-undiv` `div-exp`
12×	`div-inv`
10×	`associate-/l*`
6×	`pow1` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
2×	`associate-/l/`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 249

Calls

4 calls:

6.0ms	(/ (+ t1 u) t1)
5.0ms	(/ v (+ t1 u))
10.0ms	(/ -1 (/ (+ t1 u) t1))
29.0ms	(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (+ t1 u) t1)
6.0ms	(/ v (+ t1 u))
5.0ms	(/ -1 (/ (+ t1 u) t1))
20.0ms	(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

simplify110.0ms

Algorithm

egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	841	1815
1	4252	1692
2	5002	1603

prune191.0ms

Filtered

172 candidates to 261 candidates (-51.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	261	0	261
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	261	6	267

Merged error: 0b

Counts

267 → 6

regimes154.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	18	6
2	21	6
3	21	6

end0.0ms

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.332642%

Guaranteed chance to sample good point: 86.876512%

Results

263.0ms	8000×	body	80	valid
7.0ms	211×	body	80	invalid

Details

sample818.0ms

simplify72.0ms

prune3.0ms

localize7.0ms

rewrite25.0ms

series20.0ms

simplify57.0ms

prune79.0ms

localize7.0ms

rewrite49.0ms

series32.0ms

simplify64.0ms

prune143.0ms

localize7.0ms

rewrite34.0ms

series32.0ms

simplify51.0ms

prune89.0ms

localize7.0ms

rewrite62.0ms

series36.0ms

simplify110.0ms

prune191.0ms

regimes154.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling