Details

sample284.0ms

Algorithm

intervals

Results

15.0ms	446×	body	80	valid
9.0ms	446×	pre	80	true

simplify131.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	72	5
3	188	5
4	406	5
5	636	5
6	938	5
7	1312	5
8	1969	5
9	2932	5
10	3912	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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `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 → 95

Calls

3 calls:

22.0ms	(* m (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series131.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify64.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	394	683
1	1939	511
2	5001	505

prune153.0ms

Filtered

104 candidates to 60 candidates (57.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	96	8	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	8	105

Merged error: 0.0b

Counts

105 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`times-frac`
40×	`add-cube-cbrt`
34×	`add-exp-log`
22×	`add-cbrt-cube`
18×	`prod-diff`
14×	`div-exp`
12×	`associate-*r/`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `associate-/r/`
10×	`associate-/r*`
9×	`pow1`
8×	`associate-r`
7×	`cbrt-undiv` `flip3--` `flip--` `div-inv`
6×	`prod-exp` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`rec-exp` `1-exp` `distribute-lft-out--`
2×	`sub-neg` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 164

Calls

4 calls:

8.0ms	(* m (- 1.0 m))
6.0ms	(/ v (* m (- 1.0 m)))
20.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
9.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series189.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* m (- 1.0 m))
40.0ms	(/ v (* m (- 1.0 m)))
52.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
48.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify90.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	610	1242
1	3104	955
2	5002	942

prune203.0ms

Filtered

176 candidates to 96 candidates (54.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	175	9	184

Merged error: 0b

Counts

184 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.2b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.3b	(* m (/ (- 1.0 m) v))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l`
5×	`associate-/l*`
3×	`expm1-log1p-u` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-*r/` `clear-num`

Counts

3 → 102

Calls

3 calls:

7.0ms	(/ (- 1.0 m) v)
10.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
10.0ms	(* m (/ (- 1.0 m) v))

series110.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (- 1.0 m) v)
34.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
40.0ms	(* m (/ (- 1.0 m) v))

simplify54.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	384	599
1	1676	549
2	5003	543

prune162.0ms

Filtered

111 candidates to 76 candidates (68.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	111	9	120

Merged error: 0b

Counts

120 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 208

Calls

4 calls:

14.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
4.0ms	(/ m (sqrt v))
8.0ms	(/ (- 1.0 m) (sqrt v))
29.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
48.0ms	(/ m (sqrt v))
41.0ms	(/ (- 1.0 m) (sqrt v))
51.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify96.0ms

Algorithm

egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	816	1741
1	3728	1603
2	5002	1526

prune356.0ms

Filtered

220 candidates to 146 candidates (66.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	220	9	229

Merged error: 0b

Counts

229 → 9

regimes91.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample916.0ms

Algorithm

intervals

Results

426.0ms	13758×	body	80	valid
255.0ms	13758×	pre	80	true