Details

sample295.0ms

Algorithm

intervals

Results

11.0ms	436×	body	80	valid
7.0ms	436×	pre	80	true

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	105	6
3	354	6
4	1102	6
5	3189	6
6	5002	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))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
9×	`add-cube-cbrt`
8×	`flip3--` `associate-l` `flip--`
7×	`pow1`
6×	`associate-*r/`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `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 → 83

Calls

3 calls:

7.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series147.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
60.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify57.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	389	602
1	1946	551
2	5003	545

prune153.0ms

Filtered

92 candidates to 61 candidates (66.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	88	4	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	4	93

Merged error: 0.0b

Counts

93 → 4

localize7.0ms

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))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 175

Calls

3 calls:

5.0ms	(/ v (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))
31.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series112.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify91.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	684	1470
1	3431	1414
2	5002	1413

prune313.0ms

Filtered

184 candidates to 138 candidates (75.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	184	4	188

Merged error: 0.0b

Counts

188 → 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))

rewrite71.0ms

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×	`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 → 273

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
12.0ms	(/ m (/ v (- 1.0 m)))
9.0ms	(/ m (/ v (- 1.0 m)))
30.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- m))

series150.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ v (- 1.0 m))
35.0ms	(/ m (/ v (- 1.0 m)))
41.0ms	(/ m (/ v (- 1.0 m)))
35.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- m))

simplify95.0ms

Algorithm

egg-herbie

Counts

285 → 285

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	658	2204
1	3295	2133
2	5001	2131

prune597.0ms

Filtered

285 candidates to 215 candidates (75.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	285	0	285
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	285	4	289

Merged error: 0.0b

Counts

289 → 4

localize7.0ms

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))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 108

Calls

3 calls:

6.0ms	(/ (- 1.0 m) v)
12.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
9.0ms	(* m (/ (- 1.0 m) v))

series110.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify63.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	456	768
1	2212	714
2	5001	708

prune164.0ms

Filtered

117 candidates to 81 candidates (69.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	117	4	121

Merged error: 0.0b

Counts

121 → 4

regimes38.0ms

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

sample721.0ms

Algorithm

intervals

Results

316.0ms	13699×	body	80	valid
184.0ms	13699×	pre	80	true