Details

sample232.0ms

Algorithm

intervals

Results

198.0ms	417×	pre	80	true
18.0ms	417×	body	80	valid

simplify117.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

15.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
9.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
35.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series33.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
3.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify46.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	334	532
1	1558	477
2	5002	465

prune459.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
126×	`add-sqr-sqrt`
110×	`*-un-lft-identity`
74×	`add-cube-cbrt`
26×	`associate-/r*`
22×	`difference-of-squares`
18×	`distribute-lft-out--`
13×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
7×	`flip3--` `associate-l` `flip--`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 179

Calls

4 calls:

64.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
5.0ms	(/ v (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))
194.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series26.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
7.0ms	(/ v (- 1.0 m))
6.0ms	(/ m (/ v (- 1.0 m)))
8.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify80.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	631	1428
1	3014	1368
2	5002	1367

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0)
0.0b	(/ 1 (- 1.0 m))
0.1b	(/ (/ m v) (/ 1 (- 1.0 m)))
0.2b	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) m)

rewrite749.0ms

Algorithm

rewrite-expression-head

Rules

722×	`times-frac`
440×	`add-sqr-sqrt`
396×	`*-un-lft-identity`
296×	`add-cube-cbrt`
60×	`difference-of-squares`
48×	`distribute-lft-out--`
38×	`div-inv`
32×	`add-exp-log`
31×	`associate-/r/`
26×	`associate-/r*`
20×	`add-cbrt-cube`
18×	`div-exp`
17×	`flip3--` `flip--`
16×	`associate-/l*`
11×	`associate-l`
9×	`cbrt-undiv`
7×	`pow1`
6×	`add-log-exp`
3×	`rec-exp` `1-exp` `associate-r`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

4 → 420

Calls

4 calls:

170.0ms	(- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0)
5.0ms	(/ 1 (- 1.0 m))
16.0ms	(/ (/ m v) (/ 1 (- 1.0 m)))
526.0ms	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) m)

series22.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0)
2.0ms	(/ 1 (- 1.0 m))
6.0ms	(/ (/ m v) (/ 1 (- 1.0 m)))
8.0ms	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) m)

simplify81.0ms

Algorithm

egg-herbie

Counts

432 → 432

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1811	4698
1	5001	4298

prune2.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt m) v) (- 1.0 m))
0.2b	(* (- (* (sqrt m) (* (/ (sqrt m) v) (- 1.0 m))) 1.0) m)
0.2b	(/ (sqrt m) v)
0.4b	(* (sqrt m) (* (/ (sqrt m) v) (- 1.0 m)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
38×	`times-frac`
37×	`add-cube-cbrt`
31×	`associate-l`
25×	`sqrt-prod`
22×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-r/` `associate-r*`
8×	`prod-exp` `cbrt-unprod`
6×	`sub-neg` `associate-/l*`
5×	`flip3--` `pow-prod-down` `flip--`
4×	`frac-times` `associate-*l/` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-/r` `-commutative`
2×	`div-inv`
1×	`frac-2neg` `clear-num` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 147

Calls

4 calls:

18.0ms	(* (/ (sqrt m) v) (- 1.0 m))
85.0ms	(* (- (* (sqrt m) (* (/ (sqrt m) v) (- 1.0 m))) 1.0) m)
3.0ms	(/ (sqrt m) v)
25.0ms	(* (sqrt m) (* (/ (sqrt m) v) (- 1.0 m)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (/ (sqrt m) v) (- 1.0 m))
13.0ms	(* (- (* (sqrt m) (* (/ (sqrt m) v) (- 1.0 m))) 1.0) m)
8.0ms	(/ (sqrt m) v)
9.0ms	(* (sqrt m) (* (/ (sqrt m) v) (- 1.0 m)))

simplify70.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	574	1153
1	2692	960
2	5003	949

prune866.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes164.0ms

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	13	6
1	13	6

end0.0ms

sample1.3s

Algorithm

intervals

Results

586.0ms	13705×	body	80	valid
458.0ms	13705×	pre	80	true