Details

sample299.0ms

Algorithm

intervals

Results

13.0ms	435×	body	80	valid
9.0ms	435×	pre	80	true

simplify122.0ms

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

prune4.0ms

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 3 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

6.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series148.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
60.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify48.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	310	409
1	1511	363
2	5001	357

prune139.0ms

Filtered

80 candidates to 52 candidates (65.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	73	7	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	7	81

Merged error: 0b

Counts

81 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.2b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.3b	(* m (/ (- 1.0 m) v))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

6.0ms	(/ (- 1.0 m) v)
13.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
10.0ms	(* m (/ (- 1.0 m) v))

series110.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (- 1.0 m) v)
40.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
38.0ms	(* m (/ (- 1.0 m) v))

simplify52.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	370	577
1	1676	528
2	5002	522

prune157.0ms

Filtered

105 candidates to 71 candidates (67.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	106	6	112

Merged error: 0b

Counts

112 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.2b	(* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m))
0.3b	(* m (/ (- 1.0 m) v))
0.4b	(* (* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m)) (sqrt m))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

6.0ms	(/ (- 1.0 m) v)
11.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m))
10.0ms	(* m (/ (- 1.0 m) v))
14.0ms	(* (* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m)) (sqrt m))

series290.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (- 1.0 m) v)
131.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m))
36.0ms	(* m (/ (- 1.0 m) v))
90.0ms	(* (* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m)) (sqrt m))

simplify78.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	570	903
1	2693	806
2	5001	796

prune233.0ms

Filtered

135 candidates to 90 candidates (66.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	135	6	141

Merged error: 0b

Counts

141 → 6

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))

rewrite48.0ms

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))

series852.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
220.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
212.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
218.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

simplify135.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	305	1577
1	939	1498
2	4519	1394
3	5001	1387

prune252.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	113	6	119

Merged error: 0b

Counts

119 → 6

regimes48.0ms

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

sample866.0ms

Algorithm

intervals

Results

390.0ms	13628×	body	80	valid
247.0ms	13628×	pre	80	true

Details

sample299.0ms

simplify122.0ms

prune4.0ms

localize9.0ms

rewrite29.0ms

series148.0ms

simplify48.0ms

prune139.0ms

localize7.0ms

rewrite32.0ms

series110.0ms

simplify52.0ms

prune157.0ms

localize13.0ms

rewrite45.0ms

series290.0ms

simplify78.0ms

prune233.0ms

localize11.0ms

rewrite48.0ms

series852.0ms

simplify135.0ms

prune252.0ms

regimes48.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample866.0ms

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