Details

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.665283%

Guaranteed chance to sample good point: 79.858679%

Results

13.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify73.0ms

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: 18.5b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.1b	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

rewrite21.0ms

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:

8.0ms	(* (+ t1 u) (+ t1 u))
11.0ms	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

series21.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (+ t1 u) (+ t1 u))
17.0ms	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

simplify61.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (54.0ms)

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

prune78.0ms

Filtered

41 candidates to 76 candidates (-85.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (neg t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
0.9b	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite44.0ms

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:

6.0ms	(/ (neg t1) (+ t1 u))
5.0ms	(/ v (+ t1 u))
25.0ms	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (neg t1) (+ t1 u))
7.0ms	(/ v (+ t1 u))
25.0ms	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

simplify62.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 1 (14.0ms)

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

prune167.0ms

Filtered

134 candidates to 201 candidates (-50.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	195	6	201
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	198	8	206

Merged error: 0b

Counts

206 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ t1 u) t1)
0.0b	(/ v (+ t1 u))
0.5b	(/ -1 (/ (+ t1 u) t1))
0.9b	(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

rewrite59.0ms

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:

5.0ms	(/ (+ t1 u) t1)
5.0ms	(/ v (+ t1 u))
7.0ms	(/ -1 (/ (+ t1 u) t1))
27.0ms	(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (+ t1 u) t1)
6.0ms	(/ v (+ t1 u))
6.0ms	(/ -1 (/ (+ t1 u) t1))
22.0ms	(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

simplify106.0ms

Algorithm

egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 2 (87.0ms)

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

prune222.0ms

Filtered

172 candidates to 261 candidates (-51.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	258	3	261
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	262	7	269

Merged error: 0b

Counts

269 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (/ u t1))
0.0b	(/ v (+ t1 u))
0.5b	(/ -1 (+ 1 (/ u t1)))
0.9b	(* (/ -1 (+ 1 (/ u t1))) (/ v (+ t1 u)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
52×	`times-frac`
50×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r` `associate-l`
15×	`distribute-lft-out`
8×	`associate-/r*` `associate-/r/`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `frac-times` `associate-r/` `pow-prod-down` `associate-l/` `sum-log` `*-commutative`

Counts

4 → 138

Calls

4 calls:

5.0ms	(+ 1 (/ u t1))
5.0ms	(/ v (+ t1 u))
7.0ms	(/ -1 (+ 1 (/ u t1)))
21.0ms	(* (/ -1 (+ 1 (/ u t1))) (/ v (+ t1 u)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ 1 (/ u t1))
6.0ms	(/ v (+ t1 u))
5.0ms	(/ -1 (+ 1 (/ u t1)))
21.0ms	(* (/ -1 (+ 1 (/ u t1))) (/ v (+ t1 u)))

simplify67.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	492	922
1	2523	832
2	5001	811

prune133.0ms

Filtered

100 candidates to 150 candidates (-50.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	150	7	157

Merged error: 0b

Counts

157 → 7

regimes178.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample1.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.665283%

Guaranteed chance to sample good point: 79.858679%

Results

272.0ms	8000×	body	80	valid
7.0ms	215×	body	80	invalid

Details

sample1.3s

simplify73.0ms

prune3.0ms

localize7.0ms

rewrite21.0ms

series21.0ms

simplify61.0ms

prune78.0ms

localize7.0ms

rewrite44.0ms

series37.0ms

simplify62.0ms

prune167.0ms

localize8.0ms

rewrite59.0ms

series38.0ms

simplify106.0ms

prune222.0ms

localize8.0ms

rewrite42.0ms

series35.0ms

simplify67.0ms

prune133.0ms

regimes178.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

Profiling