Details

sample282.0ms

Algorithm

intervals

Results

13.0ms	431×	body	80	valid
8.0ms	431×	pre	80	true

simplify122.0ms

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

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: 0.2b

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)

rewrite29.0ms

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)

series148.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
59.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify49.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (42.0ms)

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

prune137.0ms

Filtered

80 candidates to 52 candidates (65.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	73	7	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	7	81

Merged error: 0.0b

Counts

81 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 163

Calls

3 calls:

5.0ms	(/ v (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))
32.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series111.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ v (- 1.0 m))
37.0ms	(/ m (/ v (- 1.0 m)))
40.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify86.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	604	1275
1	2967	1224
2	5001	1223

prune283.0ms

Filtered

172 candidates to 128 candidates (74.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	172	7	179

Merged error: 0.0b

Counts

179 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
0.3b	(/ (* m (- 1.0 m)) (sqrt v))
0.4b	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 172

Calls

4 calls:

7.0ms	(* m (- 1.0 m))
32.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
8.0ms	(/ (* m (- 1.0 m)) (sqrt v))
12.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series198.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
48.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
58.0ms	(/ (* m (- 1.0 m)) (sqrt v))
47.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify87.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	682	1603
1	3195	1370
2	5002	1360

prune259.0ms

Filtered

184 candidates to 109 candidates (59.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	184	7	191

Merged error: 0.0b

Counts

191 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (pow m 2) v) m)
0.0b	(- (* 1.0 (- (/ (pow m 2) v) m)) (/ (pow m 3) v))
9.5b	(/ (pow m 3) v)
12.8b	(/ (pow m 2) v)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
58×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
46×	`add-cube-cbrt`
25×	`unpow-prod-down`
20×	`associate-/l*`
14×	`add-exp-log`
12×	`cube-prod`
9×	`sqr-pow`
8×	`add-cbrt-cube` `add-log-exp`
6×	`div-exp` `associate-/r*`
5×	`unpow2` `difference-of-squares`
4×	`pow1` `cube-mult` `sub-neg` `unpow3` `associate--l+`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `diff-log` `associate-*r/` `pow-exp` `clear-num` `frac-sub` `div-inv`
1×	`distribute-lft-out--`

Counts

4 → 150

Calls

4 calls:

12.0ms	(- (/ (pow m 2) v) m)
20.0ms	(- (* 1.0 (- (/ (pow m 2) v) m)) (/ (pow m 3) v))
5.0ms	(/ (pow m 3) v)
5.0ms	(/ (pow m 2) v)

series105.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (pow m 2) v) m)
36.0ms	(- (* 1.0 (- (/ (pow m 2) v) m)) (/ (pow m 3) v))
26.0ms	(/ (pow m 3) v)
19.0ms	(/ (pow m 2) v)

simplify78.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	460	891
1	2140	827
2	5002	806

prune245.0ms

Filtered

162 candidates to 93 candidates (57.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	160	2	162
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	162	7	169

Merged error: 0b

Counts

169 → 7

regimes54.0ms

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	12	7
1	12	7

end0.0ms

sample860.0ms

Algorithm

intervals

Results

398.0ms	13704×	body	80	valid
244.0ms	13704×	pre	80	true