Details

analyze271.0ms

Algorithm

sampling

Space saved by range analysis: 87.542707%

Space saved by search: 92.708788%

Guaranteed chance to sample good point: 98.446217%

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	257×	pre	80	true
0.0ms	1×	body	80	invalid

simplify473.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite38.0ms

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))
16.0ms	(/ (* m (- 1.0 m)) v)
12.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series28.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify45.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (38.0ms)

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

prune115.0ms

Filtered

52 candidates to 80 candidates (-53.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	72	8	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	8	81

Merged error: 0.0b

Counts

81 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.1b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.6b	(* m (/ (- 1.0 m) v))

rewrite29.0ms

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)
11.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
9.0ms	(* m (/ (- 1.0 m) v))

series18.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ (- 1.0 m) v)
7.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
6.0ms	(* 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

prune122.0ms

Filtered

71 candidates to 105 candidates (-47.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	105	8	113

Merged error: 0.0b

Counts

113 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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:

7.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
7.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
7.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
21.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
28.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
31.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
35.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))

simplify143.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	319	1607
1	1007	1528
2	4901	1424
3	5001	1424

prune309.0ms

Filtered

81 candidates to 113 candidates (-39.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	112	9	121

Merged error: 0b

Counts

121 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
0.3b	(cbrt (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
0.3b	(* (cbrt (cbrt (- (/ (* m (- 1.0 m)) v) 1.0))) (cbrt (cbrt (- (/ (* m (- 1.0 m)) v) 1.0))))
0.6b	(pow (cbrt (cbrt (- (/ (* m (- 1.0 m)) v) 1.0))) 4)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

117×	`cbrt-prod`
56×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
32×	`cbrt-div`
24×	`add-cube-cbrt`
13×	`swap-sqr`
12×	`pow1`
11×	`unpow-prod-down` `associate-r` `associate-l`
9×	`pow1/3` `distribute-lft-out--` `unswap-sqr`
8×	`flip3--` `flip--`
7×	`add-exp-log` `difference-of-squares`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 132

Calls

4 calls:

8.0ms	(cbrt (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
8.0ms	(cbrt (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
25.0ms	(* (cbrt (cbrt (- (/ (* m (- 1.0 m)) v) 1.0))) (cbrt (cbrt (- (/ (* m (- 1.0 m)) v) 1.0))))
11.0ms	(pow (cbrt (cbrt (- (/ (* m (- 1.0 m)) v) 1.0))) 4)

series156.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
28.0ms	(cbrt (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
33.0ms	(* (cbrt (cbrt (- (/ (* m (- 1.0 m)) v) 1.0))) (cbrt (cbrt (- (/ (* m (- 1.0 m)) v) 1.0))))
65.0ms	(pow (cbrt (cbrt (- (/ (* m (- 1.0 m)) v) 1.0))) 4)

simplify58.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	465	2248
1	1603	1998
2	5001	1926

prune547.0ms

Filtered

99 candidates to 144 candidates (-45.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	144	9	153

Merged error: 0b

Counts

153 → 9

regimes181.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

analyze77.0ms

Algorithm

sampling

Space saved by range analysis: 87.542707%

Space saved by search: 92.708788%

Guaranteed chance to sample good point: 98.446217%

sample525.0ms

Algorithm

intervals

Results

238.0ms	8000×	body	80	valid
152.0ms	8032×	pre	80	true
1.0ms	32×	body	80	invalid

Details

analyze271.0ms

sample22.0ms

simplify473.0ms

prune4.0ms

localize9.0ms

rewrite38.0ms

series28.0ms

simplify45.0ms

prune115.0ms

localize6.0ms

rewrite29.0ms

series18.0ms

simplify49.0ms

prune122.0ms

localize11.0ms

rewrite47.0ms

series121.0ms

simplify143.0ms

prune309.0ms

localize17.0ms

rewrite57.0ms

series156.0ms

simplify58.0ms

prune547.0ms

regimes181.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze77.0ms

sample525.0ms

Profiling