Details

sample537.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0.810722%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

8.0ms	256×	body	80	valid
0.0ms	11×	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: 17.8b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
17.5b	(/ (* (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)))

series24.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* (+ t1 u) (+ t1 u))
20.0ms	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

simplify58.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (52.0ms)

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

prune73.0ms

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	(/ v (+ t1 u))
0.0b	(/ (neg t1) (+ t1 u))
1.4b	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite47.0ms

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))
6.0ms	(/ (neg t1) (+ t1 u))
28.0ms	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

series33.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ v (+ t1 u))
5.0ms	(/ (neg t1) (+ t1 u))
22.0ms	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

simplify60.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 1 (14.0ms)

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

prune153.0ms

Filtered

134 candidates to 201 candidates (-50.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	197	4	201
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	199	7	206

Merged error: 0b

Counts

206 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt t1) (cbrt t1))
0.6b	(cbrt t1)
0.6b	(cbrt t1)
0.6b	(cbrt t1)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

7.0ms	(* (cbrt t1) (cbrt t1))
1.0ms	(cbrt t1)
1.0ms	(cbrt t1)
1.0ms	(cbrt t1)

series92.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt t1) (cbrt t1))
21.0ms	(cbrt t1)
21.0ms	(cbrt t1)
22.0ms	(cbrt t1)

simplify74.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune80.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Merged error: 0b

Counts

92 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (/ (neg t1) (+ t1 u)) (* (cbrt (/ v (+ t1 u))) (cbrt (/ v (+ t1 u)))))
13.5b	(cbrt (/ v (+ t1 u)))
13.5b	(cbrt (/ v (+ t1 u)))
13.5b	(cbrt (/ v (+ t1 u)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
77×	`times-frac`
54×	`cbrt-prod` `add-sqr-sqrt`
51×	`add-cube-cbrt`
46×	`associate-l`
19×	`distribute-lft-out`
16×	`add-exp-log`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-cbrt-cube`
11×	`cbrt-div`
9×	`pow1`
8×	`associate-/r/`
6×	`prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*r/`
4×	`neg-mul-1` `flip3-+` `flip-+` `div-inv` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
2×	`cbrt-undiv` `div-exp` `unswap-sqr`
1×	`distribute-lft-neg-out` `distribute-frac-neg` `associate-r` `*-commutative`

Counts

4 → 156

Calls

4 calls:

25.0ms	(* (/ (neg t1) (+ t1 u)) (* (cbrt (/ v (+ t1 u))) (cbrt (/ v (+ t1 u)))))
4.0ms	(cbrt (/ v (+ t1 u)))
4.0ms	(cbrt (/ v (+ t1 u)))
4.0ms	(cbrt (/ v (+ t1 u)))

series153.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (/ (neg t1) (+ t1 u)) (* (cbrt (/ v (+ t1 u))) (cbrt (/ v (+ t1 u)))))
34.0ms	(cbrt (/ v (+ t1 u)))
31.0ms	(cbrt (/ v (+ t1 u)))
31.0ms	(cbrt (/ v (+ t1 u)))

simplify59.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	634	1663
1	1976	1563
2	5002	1533

prune141.0ms

Filtered

127 candidates to 168 candidates (-32.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	168	7	175

Merged error: 0b

Counts

175 → 7

regimes165.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	18
1	26	18
2	29	18
3	35	18
4	38	18
5	38	18

end0.0ms

sample897.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0.810722%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

245.0ms	8000×	body	80	valid
7.0ms	231×	body	80	invalid

Details

sample537.0ms

simplify73.0ms

prune3.0ms

localize6.0ms

rewrite21.0ms

series24.0ms

simplify58.0ms

prune73.0ms

localize7.0ms

rewrite47.0ms

series33.0ms

simplify60.0ms

prune153.0ms

localize14.0ms

rewrite13.0ms

series92.0ms

simplify74.0ms

prune80.0ms

localize11.0ms

rewrite45.0ms

series153.0ms

simplify59.0ms

prune141.0ms

regimes165.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample897.0ms

Profiling