Details

sample289.0ms

Algorithm

intervals

Results

11.0ms	446×	body	80	valid
7.0ms	446×	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

prune4.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

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:

8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series159.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
51.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

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

prune161.0ms

Filtered

97 candidates to 63 candidates (64.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	7	98

Merged error: 0b

Counts

98 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

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:

5.0ms	(/ v (- 1.0 m))
26.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
9.0ms	(/ m (/ v (- 1.0 m)))
32.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series138.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ v (- 1.0 m))
23.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
38.0ms	(/ m (/ v (- 1.0 m)))
40.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify83.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (66.0ms)

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

prune318.0ms

Filtered

191 candidates to 142 candidates (74.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	191	7	198

Merged error: 0b

Counts

198 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
0.2b	(/ m (sqrt v))
0.3b	(/ (- 1.0 m) (sqrt v))
0.4b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 200

Calls

4 calls:

14.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
4.0ms	(/ m (sqrt v))
7.0ms	(/ (- 1.0 m) (sqrt v))
25.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
45.0ms	(/ m (sqrt v))
48.0ms	(/ (- 1.0 m) (sqrt v))
47.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify93.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	787	1698
1	3652	1559
2	5001	1495

prune359.0ms

Filtered

212 candidates to 137 candidates (64.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	212	7	219

Merged error: 0b

Counts

219 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 m) (/ (pow m 3) v))
0.0b	(- (* 1.0 (/ (pow m 2) v)) (+ (* 1.0 m) (/ (pow m 3) v)))
7.1b	(/ (pow m 3) v)
12.4b	(/ (pow m 2) v)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
46×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
20×	`associate-/l*`
14×	`add-exp-log`
12×	`cube-prod`
11×	`add-log-exp`
8×	`add-cbrt-cube` `sqr-pow`
6×	`div-exp` `associate-/r*`
4×	`pow1` `cube-mult` `unpow3` `unpow2`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `diff-log` `associate-*r/` `pow-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `sub-neg` `flip3--` `flip--` `associate--r+`

Counts

4 → 141

Calls

4 calls:

10.0ms	(+ (* 1.0 m) (/ (pow m 3) v))
20.0ms	(- (* 1.0 (/ (pow m 2) v)) (+ (* 1.0 m) (/ (pow m 3) v)))
6.0ms	(/ (pow m 3) v)
5.0ms	(/ (pow m 2) v)

series112.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* 1.0 m) (/ (pow m 3) v))
41.0ms	(- (* 1.0 (/ (pow m 2) v)) (+ (* 1.0 m) (/ (pow m 3) v)))
22.0ms	(/ (pow m 3) v)
19.0ms	(/ (pow m 2) v)

simplify85.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	482	869
1	2357	807
2	5001	786

prune253.0ms

Filtered

153 candidates to 89 candidates (58.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	154	6	160

Merged error: 0b

Counts

160 → 6

regimes49.0ms

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	9	5
1	9	5

end0.0ms

sample735.0ms

Algorithm

intervals

Results

326.0ms	13804×	body	80	valid
186.0ms	13804×	pre	80	true

Details

sample289.0ms

simplify122.0ms

prune4.0ms

localize10.0ms

rewrite54.0ms

series159.0ms

simplify50.0ms

prune161.0ms

localize7.0ms

rewrite81.0ms

series138.0ms

simplify83.0ms

prune318.0ms

localize10.0ms

rewrite61.0ms

series190.0ms

simplify93.0ms

prune359.0ms

localize12.0ms

rewrite46.0ms

series112.0ms

simplify85.0ms

prune253.0ms

regimes49.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample735.0ms

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