Details

sample291.0ms

Algorithm

intervals

Results

14.0ms	446×	body	80	valid
9.0ms	446×	pre	80	true

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

rewrite53.0ms

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:

21.0ms	(* m (- 1.0 m))
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)

series141.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* m (- 1.0 m))
38.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
50.0ms	(/ (* m (- 1.0 m)) v)

simplify79.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (65.0ms)

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

prune181.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
111×	`add-sqr-sqrt`
102×	`*-un-lft-identity`
74×	`add-cube-cbrt`
21×	`associate-/r*`
18×	`prod-diff`
16×	`difference-of-squares`
14×	`distribute-lft-out--`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`flip3--` `flip--`
9×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
7×	`associate-l`
5×	`associate-r` `div-inv`
4×	`pow1` `frac-times`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`expm1-log1p-u` `sub-neg` `associate-r/` `associate-l/` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 160

Calls

2 calls:

9.0ms	(/ m (/ v (- 1.0 m)))
36.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series80.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ m (/ v (- 1.0 m)))
37.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify105.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	714	1669
1	3707	1487
2	5001	1486

prune267.0ms

Filtered

166 candidates to 114 candidates (68.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	166	6	172

Merged error: 0b

Counts

172 → 6

localize13.0ms

Local error

Found 4 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) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

90×	`prod-diff`
87×	`add-sqr-sqrt`
83×	`*-un-lft-identity`
80×	`sqrt-prod`
71×	`add-cube-cbrt`
50×	`distribute-rgt-in` `distribute-lft-in`
32×	`frac-times`
23×	`flip3--` `flip--`
19×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/`
14×	`associate-*r/`
13×	`pow1`
12×	`flip3-+` `flip-+`
9×	`associate-l`
6×	`prod-exp` `cbrt-unprod` `difference-of-squares`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`times-frac` `associate-/r` `-commutative`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 233

Calls

4 calls:

7.0ms	(* m (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) v)
30.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
18.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series379.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* m (- 1.0 m))
43.0ms	(/ (* m (- 1.0 m)) v)
140.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
150.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify74.0ms

Algorithm

egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1234	4829
1	5001	3996

prune420.0ms

Filtered

245 candidates to 130 candidates (53.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	245	0	245
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	245	6	251

Merged error: 0b

Counts

251 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- 1.0 m))
0.1b	(cbrt (- 1.0 m))
0.1b	(cbrt (- 1.0 m))
0.1b	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))

rewrite24.0ms

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:

3.0ms	(cbrt (- 1.0 m))
3.0ms	(cbrt (- 1.0 m))
3.0ms	(cbrt (- 1.0 m))
10.0ms	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))

series408.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt (- 1.0 m))
96.0ms	(cbrt (- 1.0 m))
96.0ms	(cbrt (- 1.0 m))
120.0ms	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))

simplify148.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	328	874
1	1077	836
2	4703	779
3	5001	778

prune270.0ms

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

regimes52.0ms

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

sample879.0ms

Algorithm

intervals

Results

398.0ms	13758×	body	80	valid
249.0ms	13758×	pre	80	true