Details

sample287.0ms

Algorithm

intervals

Results

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

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	112	6
3	393	6
4	1344	6
5	4072	6
6	5001	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)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
8×	`flip3--` `associate-l` `flip--`
7×	`pow1`
6×	`associate-*r/`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `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 → 125

Calls

3 calls:

25.0ms	(* m (- 1.0 m))
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)

series134.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* m (- 1.0 m))
38.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
46.0ms	(/ (* m (- 1.0 m)) v)

simplify78.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	500	1273
1	2527	968
2	5002	962

prune182.0ms

Filtered

134 candidates to 71 candidates (53.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	128	6	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	6	135

Merged error: 0b

Counts

135 → 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`
130×	`add-sqr-sqrt`
121×	`*-un-lft-identity`
85×	`add-cube-cbrt`
26×	`associate-/r*`
20×	`difference-of-squares`
18×	`prod-diff` `distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-/r/` `flip--`
7×	`associate-l`
6×	`div-inv` `associate-/l*`
5×	`pow1` `associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 199

Calls

3 calls:

5.0ms	(/ v (- 1.0 m))
30.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
12.0ms	(/ m (/ v (- 1.0 m)))

series109.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ v (- 1.0 m))
34.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
40.0ms	(/ m (/ v (- 1.0 m)))

simplify115.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	774	1889
1	4024	1694
2	5002	1693

prune324.0ms

Filtered

208 candidates to 146 candidates (70.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	208	6	214

Merged error: 0b

Counts

214 → 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)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

709×	`times-frac`
428×	`add-sqr-sqrt`
405×	`*-un-lft-identity`
307×	`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` `prod-diff`
16×	`associate-/l*`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
9×	`cbrt-undiv`
6×	`pow1`
5×	`associate-r`
4×	`frac-times`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `frac-2neg` `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 → 436

Calls

3 calls:

6.0ms	(/ 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))
42.0ms	(/ (/ m v) (/ 1 (- 1.0 m)))

simplify94.0ms

Algorithm

egg-herbie

Counts

445 → 445

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1945	5111
1	5001	4599

prune627.0ms

Filtered

445 candidates to 250 candidates (56.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	445	0	445
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	445	6	451

Merged error: 0b

Counts

451 → 6

localize10.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 109

Calls

4 calls:

10.0ms	(* (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))

series386.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))
91.0ms	(cbrt (- 1.0 m))
93.0ms	(cbrt (- 1.0 m))
94.0ms	(cbrt (- 1.0 m))

simplify153.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	328	874
1	1070	836
2	4697	779
3	5001	776

prune265.0ms

Filtered

121 candidates to 89 candidates (73.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	121	6	127

Merged error: 0b

Counts

127 → 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

sample881.0ms

Algorithm

intervals

Results

391.0ms	13704×	body	80	valid
255.0ms	13704×	pre	80	true