Details

sample287.0ms

Algorithm

intervals

Results

14.0ms	431×	body	80	valid
9.0ms	431×	pre	80	true

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	105	6
3	354	6
4	1102	6
5	3189	6
6	5002	6

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

6.0ms	(* m (- 1.0 m))
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)

series133.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* m (- 1.0 m))
36.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
45.0ms	(/ (* m (- 1.0 m)) v)

simplify59.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	389	602
1	1946	551
2	5003	545

prune161.0ms

Filtered

92 candidates to 61 candidates (66.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 0b

Counts

93 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
118×	`add-sqr-sqrt`
109×	`*-un-lft-identity`
73×	`add-cube-cbrt`
26×	`associate-/r*`
20×	`difference-of-squares`
18×	`distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`flip3--` `associate-/r/` `flip--`
7×	`associate-l`
6×	`div-inv` `associate-/l*`
5×	`pow1` `associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 175

Calls

3 calls:

5.0ms	(/ v (- 1.0 m))
31.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))

series112.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ v (- 1.0 m))
35.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
37.0ms	(/ m (/ v (- 1.0 m)))

simplify91.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	684	1470
1	3431	1414
2	5002	1413

prune310.0ms

Filtered

184 candidates to 138 candidates (75.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	184	6	190

Merged error: 0b

Counts

190 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1.0 m))
0.0b	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) (- 1.0 m))
0.1b	(/ (/ m v) (/ 1 (- 1.0 m)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

709×	`times-frac`
416×	`add-sqr-sqrt`
393×	`*-un-lft-identity`
295×	`add-cube-cbrt`
54×	`difference-of-squares`
48×	`distribute-lft-out--`
38×	`div-inv`
31×	`add-exp-log` `associate-/r/`
26×	`associate-/r*`
21×	`flip3--` `flip--`
19×	`add-cbrt-cube`
18×	`div-exp`
16×	`associate-/l*`
11×	`associate-l`
9×	`cbrt-undiv`
6×	`pow1`
5×	`associate-r`
4×	`frac-times`
3×	`rec-exp` `1-exp` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num`
1×	`pow-flip` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

3 → 412

Calls

3 calls:

5.0ms	(/ 1 (- 1.0 m))
89.0ms	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) (- 1.0 m))
15.0ms	(/ (/ m v) (/ 1 (- 1.0 m)))

series101.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ 1 (- 1.0 m))
35.0ms	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) (- 1.0 m))
43.0ms	(/ (/ m v) (/ 1 (- 1.0 m)))

simplify89.0ms

Algorithm

egg-herbie

Counts

421 → 421

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1856	4675
1	5001	4293

prune599.0ms

Filtered

421 candidates to 239 candidates (56.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	421	0	421
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	421	6	427

Merged error: 0b

Counts

427 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))
0.1b	(cbrt (- 1.0 m))
0.1b	(cbrt (- 1.0 m))
0.1b	(cbrt (- 1.0 m))

rewrite23.0ms

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:

11.0ms	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))
3.0ms	(cbrt (- 1.0 m))
3.0ms	(cbrt (- 1.0 m))
3.0ms	(cbrt (- 1.0 m))

series390.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))
91.0ms	(cbrt (- 1.0 m))
92.0ms	(cbrt (- 1.0 m))
99.0ms	(cbrt (- 1.0 m))

simplify145.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (135.0ms)

Iter	Nodes	Cost
0	316	847
1	1003	807
2	4436	753
3	5001	749

prune245.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	113	6	119

Merged error: 0b

Counts

119 → 6

regimes68.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample896.0ms

Algorithm

intervals

Results

395.0ms	13704×	body	80	valid
262.0ms	13704×	pre	80	true