Details

sample286.0ms

Algorithm

intervals

Results

12.0ms	421×	body	80	valid
6.0ms	421×	pre	80	true

simplify78.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 153

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(* m (- 1.0 m))
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
13.0ms	(/ (* m (- 1.0 m)) v)

series155.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
46.0ms	(* m (- 1.0 m))
35.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
52.0ms	(/ (* m (- 1.0 m)) v)

simplify76.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	571	1142
1	2706	1082
2	5001	1070

prune320.0ms

Filtered

165 candidates to 115 candidates (69.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	160	5	165
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	161	5	166

Merged error: 0b

Counts

166 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

125×	`add-sqr-sqrt`
108×	`*-un-lft-identity`
90×	`times-frac`
64×	`add-cube-cbrt`
54×	`associate-r`
53×	`associate-l`
28×	`associate-/l*`
17×	`distribute-lft-out` `difference-of-squares`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-lft-out--`
12×	`unswap-sqr`
11×	`*-commutative`
10×	`associate-*l/`
7×	`flip3--` `flip--`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`cbrt-undiv` `distribute-rgt-neg-in` `associate-*r/` `div-exp` `frac-add` `associate-/l/`
3×	`distribute-lft-neg-in` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `flip3-+` `unsub-neg` `pow-prod-down` `sum-log` `flip-+`

Counts

4 → 217

Calls

4 calls:

71.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
10.0ms	(/ (* m (- 1.0 m)) v)
10.0ms	(/ (* m (- 1.0 m)) v)
32.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series152.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
39.0ms	(/ (* m (- 1.0 m)) v)
35.0ms	(/ (* m (- 1.0 m)) v)
40.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify102.0ms

Algorithm

egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	730	1828
1	3464	1693
2	5001	1680

prune524.0ms

Filtered

229 candidates to 164 candidates (71.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	227	2	229
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	229	5	234

Merged error: 0b

Counts

234 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
0.1b	(/ (* m (- 1.0 m)) v)
8.0b	(/ (pow m 3) v)
12.0b	(/ (pow m 2) v)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

114×	`add-sqr-sqrt`
106×	`times-frac`
105×	`*-un-lft-identity`
79×	`add-cube-cbrt`
52×	`associate-/l*`
32×	`frac-sub`
31×	`unpow-prod-down`
30×	`associate-*r/`
20×	`associate-r`
19×	`add-exp-log`
17×	`associate-l`
16×	`flip3-+` `flip-+`
15×	`associate-/r*`
13×	`add-cbrt-cube`
12×	`cube-prod`
11×	`sqr-pow`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-log-exp` `unswap-sqr`
8×	`div-exp`
7×	`clear-num` `unpow2`
5×	`frac-2neg`
4×	`pow1` `cbrt-undiv` `cube-mult` `unpow3` `un-div-inv` `*-commutative` `distribute-lft-out`
3×	`div-inv`
2×	`pow-to-exp` `flip3--` `diff-log` `pow-exp` `associate--l+` `flip--` `associate-/l/`
1×	`+-commutative` `sub-neg` `prod-exp` `sum-log` `cbrt-unprod`

Counts

4 → 248

Calls

4 calls:

50.0ms	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
10.0ms	(/ (* m (- 1.0 m)) v)
6.0ms	(/ (pow m 3) v)
5.0ms	(/ (pow m 2) v)

series117.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
35.0ms	(/ (* m (- 1.0 m)) v)
26.0ms	(/ (pow m 3) v)
19.0ms	(/ (pow m 2) v)

simplify55.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1103	2476
1	5001	2377

prune697.0ms

Filtered

260 candidates to 159 candidates (61.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	260	5	265

Merged error: 0b

Counts

265 → 5

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 145

Calls

4 calls:

22.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
6.0ms	(/ (- 1.0 m) v)
25.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
11.0ms	(* m (/ (- 1.0 m) v))

series126.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
31.0ms	(/ (- 1.0 m) v)
38.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
35.0ms	(* m (/ (- 1.0 m) v))

simplify70.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	511	1000
1	2428	937
2	5001	925

prune279.0ms

Filtered

157 candidates to 106 candidates (67.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	157	5	162

Merged error: 0b

Counts

162 → 5

regimes47.0ms

Accuracy

0% (0.1b 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	17	12
1	21	12
2	22	12
3	22	12

end0.0ms

sample712.0ms

Algorithm

intervals

Results

328.0ms	13470×	body	80	valid
174.0ms	13470×	pre	80	true