Details

sample291.0ms

Algorithm

intervals

Results

15.0ms	446×	body	80	valid
10.0ms	446×	pre	80	true

simplify131.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	72	5
3	188	5
4	406	5
5	636	5
6	938	5
7	1312	5
8	1969	5
9	2932	5
10	3912	5
11	5001	5

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: 0.2b

Counts

2 → 1

localize9.0ms

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)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

26.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(* m (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series162.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
47.0ms	(* m (- 1.0 m))
44.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify82.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	492	1130
1	2310	788
2	5002	775

prune204.0ms

Filtered

151 candidates to 83 candidates (55.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	144	7	151
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	145	7	152

Merged error: 0b

Counts

152 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

576×	`times-frac`
462×	`add-sqr-sqrt`
446×	`*-un-lft-identity`
338×	`add-cube-cbrt`
204×	`prod-diff`
68×	`fma-neg`
58×	`difference-of-squares`
54×	`distribute-lft-out--`
39×	`associate-/r/`
26×	`associate-/r*`
22×	`div-inv`
19×	`flip3--` `flip--`
13×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`pow1` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`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

4 → 459

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
35.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
9.0ms	(/ m (/ v (- 1.0 m)))
28.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series142.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ v (- 1.0 m))
29.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
39.0ms	(/ m (/ v (- 1.0 m)))
38.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify164.0ms

Algorithm

egg-herbie

Counts

471 → 471

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1090	5740
1	4464	4299
2	5001	4299

prune642.0ms

Filtered

471 candidates to 261 candidates (55.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	471	0	471
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	471	7	478

Merged error: 0b

Counts

478 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
0.2b	(/ m (sqrt v))
0.3b	(/ (- 1.0 m) (sqrt v))
0.4b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
60×	`sqrt-prod`
37×	`associate-r`
25×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`unswap-sqr`
8×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`associate-*l/`
2×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 208

Calls

4 calls:

13.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
4.0ms	(/ m (sqrt v))
7.0ms	(/ (- 1.0 m) (sqrt v))
24.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
50.0ms	(/ m (sqrt v))
44.0ms	(/ (- 1.0 m) (sqrt v))
53.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify99.0ms

Algorithm

egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	816	1741
1	3728	1603
2	5002	1526

prune376.0ms

Filtered

220 candidates to 146 candidates (66.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	220	7	227

Merged error: 0b

Counts

227 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1.0 m (/ (pow m 3) v))
0.0b	(fma 1.0 (/ (pow m 2) v) (- (fma 1.0 m (/ (pow m 3) v))))
7.1b	(/ (pow m 3) v)
12.4b	(/ (pow m 2) v)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
46×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
20×	`associate-/l*`
14×	`add-exp-log`
12×	`cube-prod`
8×	`add-cbrt-cube` `sqr-pow`
6×	`div-exp` `associate-/r*`
4×	`pow1` `expm1-log1p-u` `cube-mult` `unpow3` `log1p-expm1-u` `unpow2` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `fma-udef` `div-inv`

Counts

4 → 138

Calls

4 calls:

1.0ms	(fma 1.0 m (/ (pow m 3) v))
1.0ms	(fma 1.0 (/ (pow m 2) v) (- (fma 1.0 m (/ (pow m 3) v))))
5.0ms	(/ (pow m 3) v)
5.0ms	(/ (pow m 2) v)

series119.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma 1.0 m (/ (pow m 3) v))
41.0ms	(fma 1.0 (/ (pow m 2) v) (- (fma 1.0 m (/ (pow m 3) v))))
23.0ms	(/ (pow m 3) v)
20.0ms	(/ (pow m 2) v)

simplify59.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	340	718
1	1606	651
2	5002	630

prune272.0ms

Filtered

150 candidates to 90 candidates (60.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	151	6	157

Merged error: 0b

Counts

157 → 6

regimes49.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

end0.0ms

sample944.0ms

Algorithm

intervals

Results

433.0ms	13804×	body	80	valid
263.0ms	13804×	pre	80	true