Details

sample282.0ms

Algorithm

intervals

Results

11.0ms	436×	body	80	valid
6.0ms	436×	pre	80	true

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

rewrite55.0ms

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:

8.0ms	(* m (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) v)
18.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series132.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify78.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	500	1273
1	2527	968
2	5001	962

prune173.0ms

Filtered

134 candidates to 71 candidates (53.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	130	4	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	131	4	135

Merged error: 0.0b

Counts

135 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
130×	`add-sqr-sqrt`
121×	`*-un-lft-identity`
85×	`add-cube-cbrt`
26×	`associate-/r*`
20×	`difference-of-squares`
18×	`prod-diff` `distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-/r/` `flip--`
7×	`associate-l`
6×	`div-inv` `associate-/l*`
5×	`pow1` `associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 199

Calls

3 calls:

5.0ms	(/ v (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))
34.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series109.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ v (- 1.0 m))
40.0ms	(/ m (/ v (- 1.0 m)))
35.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify118.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	774	1889
1	4024	1694
2	5001	1693

prune322.0ms

Filtered

208 candidates to 146 candidates (70.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	208	4	212

Merged error: 0.0b

Counts

212 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

264×	`times-frac`
201×	`add-sqr-sqrt`
192×	`*-un-lft-identity`
134×	`add-cube-cbrt`
47×	`associate-/r*`
31×	`difference-of-squares`
29×	`distribute-lft-out--`
20×	`associate-/r/`
18×	`add-exp-log` `add-cbrt-cube`
11×	`div-inv`
10×	`flip3--` `associate-r` `flip--`
9×	`associate-/l*`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `frac-2neg` `clear-num`
2×	`associate-*l/`
1×	`neg-mul-1` `pow-prod-down` `prod-exp` `*-commutative` `distribute-rgt-neg-out` `cbrt-unprod` `unswap-sqr`

Counts

4 → 281

Calls

4 calls:

8.0ms	(/ v (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))
9.0ms	(/ m (/ v (- 1.0 m)))
29.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- m))

series148.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify98.0ms

Algorithm

egg-herbie

Counts

293 → 293

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	673	2239
1	3354	2158
2	5001	2158

prune596.0ms

Filtered

293 candidates to 223 candidates (76.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	293	0	293
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	293	4	297

Merged error: 0.0b

Counts

297 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 132

Calls

3 calls:

6.0ms	(/ (- 1.0 m) v)
15.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
10.0ms	(* m (/ (- 1.0 m) v))

series107.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (- 1.0 m) v)
38.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
36.0ms	(* m (/ (- 1.0 m) v))

simplify80.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	544	1182
1	2615	1017
2	5001	1011

prune178.0ms

Filtered

141 candidates to 89 candidates (63.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	141	4	145

Merged error: 0.0b

Counts

145 → 4

regimes37.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	12
1	20	12
2	21	12
3	21	12

end0.0ms

sample688.0ms

Algorithm

intervals

Results

310.0ms	13699×	body	80	valid
170.0ms	13699×	pre	80	true