Details

sample282.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 87.530532%

Space saved by search: 87.530532%

Guaranteed chance to sample good point: 99.609375%

Results

212.0ms	256×	body	80	valid
9.0ms	443×	pre	80	true
6.0ms	187×	body	80	invalid

simplify490.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	67	5
3	169	5
4	345	5
5	466	5
6	670	5
7	1014	5
8	1528	5
9	2117	5
10	3037	5
11	5001	5

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 71

Calls

3 calls:

6.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series25.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify44.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	310	409
1	1511	363
2	5001	357

prune117.0ms

Filtered

52 candidates to 80 candidates (-53.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	6	81

Merged error: 0b

Counts

81 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.2b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.3b	(* m (/ (- 1.0 m) v))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l`
5×	`associate-/l*`
3×	`prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-*r/` `clear-num`

Counts

3 → 96

Calls

3 calls:

6.0ms	(/ (- 1.0 m) v)
9.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
9.0ms	(* m (/ (- 1.0 m) v))

series16.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ (- 1.0 m) v)
7.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
5.0ms	(* m (/ (- 1.0 m) v))

simplify49.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	370	577
1	1676	528
2	5002	522

prune118.0ms

Filtered

71 candidates to 105 candidates (-47.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	105	6	111

Merged error: 0b

Counts

111 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
0.3b	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
0.3b	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
0.3b	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

20.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
8.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
8.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
8.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

series116.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
26.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
26.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
31.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

simplify145.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	319	1607
1	999	1528
2	4893	1424
3	5001	1424

prune295.0ms

Filtered

81 candidates to 113 candidates (-39.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	113	6	119

Merged error: 0b

Counts

119 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)))
0.6b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
0.6b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
0.6b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)))
11.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
9.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
10.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))

series155.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)))
35.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
37.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
35.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))

simplify42.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	347	1300
1	1121	1207
2	5001	1138

prune233.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	84	6	90

Merged error: 0b

Counts

90 → 6

regimes153.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 87.530532%

Space saved by search: 87.530532%

Guaranteed chance to sample good point: 99.609375%

Results

261.0ms	13766×	pre	80	true
253.0ms	8000×	body	80	valid
183.0ms	5766×	body	80	invalid

Details

sample282.0ms

simplify490.0ms

prune4.0ms

localize9.0ms

rewrite28.0ms

series25.0ms

simplify44.0ms

prune117.0ms

localize7.0ms

rewrite27.0ms

series16.0ms

simplify49.0ms

prune118.0ms

localize12.0ms

rewrite46.0ms

series116.0ms

simplify145.0ms

prune295.0ms

localize12.0ms

rewrite40.0ms

series155.0ms

simplify42.0ms

prune233.0ms

regimes153.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling