Details

sample268.0ms

Algorithm

intervals

Results

10.0ms	437×	body	80	valid
6.0ms	437×	pre	80	true

simplify121.0ms

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	2117	5
10	3037	5
11	5001	5

prune5.0ms

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

8.0ms	(* m (- 1.0 m))
8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series153.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* m (- 1.0 m))
29.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
37.0ms	(/ (* m (- 1.0 m)) v)
43.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify49.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	334	532
1	1558	477
2	5002	465

prune160.0ms

Filtered

97 candidates to 63 candidates (64.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	88	9	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

6.0ms	(/ (- 1.0 m) v)
7.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
9.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
9.0ms	(* m (/ (- 1.0 m) v))

series133.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (- 1.0 m) v)
23.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
34.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
40.0ms	(* m (/ (- 1.0 m) v))

simplify55.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	392	684
1	1724	626
2	5001	614

prune176.0ms

Filtered

120 candidates to 81 candidates (67.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	120	9	129

Merged error: 0.0b

Counts

129 → 9

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)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
0.5b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
15×	`*-un-lft-identity`
12×	`associate-r`
11×	`pow1` `add-cube-cbrt`
7×	`sqrt-prod`
6×	`associate-l` `associate-*l/` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `pow-prod-down` `flip--`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `associate-r/` `div-exp` `-commutative` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 86

Calls

4 calls:

8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
14.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series184.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
36.0ms	(/ (* m (- 1.0 m)) v)
75.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
50.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify51.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	411	743
1	1810	641
2	5001	625

prune163.0ms

Filtered

98 candidates to 63 candidates (64.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	98	9	107

Merged error: 0.0b

Counts

107 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

20.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
8.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
8.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
8.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

series822.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
211.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
204.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
208.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

simplify137.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	305	1577
1	939	1498
2	4519	1397
3	5001	1390

prune253.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	112	10	122

Merged error: 0.0b

Counts

122 → 10

regimes98.0ms

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	10	5
1	10	5

end0.0ms

sample689.0ms

Algorithm

intervals

Results

309.0ms	13821×	body	80	valid
171.0ms	13821×	pre	80	true