Details

sample285.0ms

Algorithm

intervals

Results

12.0ms	475×	body	80	valid
7.0ms	475×	pre	80	true

simplify119.0ms

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	2116	5
10	3036	5
11	5001	5

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize11.0ms

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)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(* m (- 1.0 m))
11.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series167.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
50.0ms	(* m (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)
54.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify66.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	500	950
1	2262	892
2	5001	880

prune222.0ms

Filtered

153 candidates to 106 candidates (30.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	145	8	153
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	145	9	154

Merged error: 0.0b

Counts

154 → 9

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
33×	`times-frac`
28×	`add-cube-cbrt`
22×	`associate-r`
14×	`difference-of-squares`
13×	`add-exp-log` `associate-r/` `associate-l*` `add-cbrt-cube` `distribute-lft-out--`
12×	`associate-/l*`
8×	`pow1`
7×	`unswap-sqr`
6×	`associate-/r*` `add-log-exp`
4×	`flip3--` `flip--` `associate-/l/`
3×	`prod-exp` `clear-num` `un-div-inv` `cbrt-unprod`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `diff-log` `div-sub`

Counts

4 → 133

Calls

4 calls:

20.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
6.0ms	(/ (- 1.0 m) v)
26.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
12.0ms	(* m (/ (- 1.0 m) v))

series138.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
33.0ms	(/ (- 1.0 m) v)
40.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
39.0ms	(* m (/ (- 1.0 m) v))

simplify60.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	442	807
1	1959	746
2	5001	734

prune195.0ms

Filtered

145 candidates to 96 candidates (33.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	1	6	7
Picked	0	1	1
Done	1	0	1
Total	146	8	154

Merged error: 0.0b

Counts

154 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

129×	`times-frac`
111×	`add-sqr-sqrt`
95×	`*-un-lft-identity`
65×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`associate-/r/` `difference-of-squares`
15×	`distribute-lft-out--`
10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`flip3--` `flip--` `associate-/l*`
5×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `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

3 → 152

Calls

3 calls:

32.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
10.0ms	(/ m (/ v (- 1.0 m)))
37.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series103.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
41.0ms	(/ m (/ v (- 1.0 m)))
38.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify76.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	586	1242
1	2864	1190
2	5001	1189

prune252.0ms

Filtered

161 candidates to 118 candidates (26.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	159	2	161
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	161	8	169

Merged error: 0.0b

Counts

169 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.3b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
0.5b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
49×	`associate-l`
46×	`times-frac`
43×	`associate-r`
42×	`add-cube-cbrt`
21×	`unswap-sqr`
18×	`add-exp-log` `add-cbrt-cube`
16×	`sqrt-prod`
14×	`associate-/l*`
13×	`pow1`
11×	`difference-of-squares`
8×	`*-commutative`
7×	`distribute-lft-out--`
6×	`associate-*l/` `prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`flip3--` `associate-*r/` `flip--` `add-log-exp`
3×	`associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

4 → 177

Calls

4 calls:

7.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
31.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
36.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series224.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* m (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)
80.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
55.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify83.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	632	1348
1	3056	1209
2	5001	1197

prune252.0ms

Filtered

189 candidates to 126 candidates (33.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	188	1	189
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	189	8	197

Merged error: 0b

Counts

197 → 8

regimes65.0ms

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	9	5
1	9	5

end0.0ms

sample718.0ms

Algorithm

intervals

Results

312.0ms	13853×	body	80	valid
180.0ms	13853×	pre	80	true