Details

sample322.0ms

Algorithm

intervals

Results

13.0ms	449×	body	80	valid
8.0ms	449×	pre	80	true

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize27.0ms

Local error

Found 3 expressions with local error:

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

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:

6.0ms	(* m (- 1.0 m))
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)

series164.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* m (- 1.0 m))
50.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
54.0ms	(/ (* m (- 1.0 m)) v)

simplify58.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (49.0ms)

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

prune356.0ms

Filtered

92 candidates to 61 candidates (33.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 0b

Counts

93 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times`
27×	`add-sqr-sqrt`
23×	`flip3--` `*-un-lft-identity` `flip--`
19×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/`
14×	`associate-*r/`
13×	`pow1`
12×	`flip3-+` `flip-+`
11×	`add-cube-cbrt`
9×	`associate-l`
8×	`sqrt-prod`
6×	`prod-exp` `cbrt-unprod` `difference-of-squares`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down`
4×	`sub-neg` `distribute-lft-out--` `add-log-exp`
3×	`times-frac` `associate-/r` `-commutative`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 135

Calls

4 calls:

6.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
22.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* m (- 1.0 m))
45.0ms	(/ (* m (- 1.0 m)) v)
166.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
228.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify41.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	886	1761
1	5002	1541

prune1.0s

Filtered

147 candidates to 106 candidates (27.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	147	6	153

Merged error: 0b

Counts

153 → 6

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))

rewrite33.0ms

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

series132.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ (- 1.0 m) v)
47.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
45.0ms	(* m (/ (- 1.0 m) v))

simplify69.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (53.0ms)

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

prune543.0ms

Filtered

117 candidates to 79 candidates (32.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	117	6	123

Merged error: 0b

Counts

123 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))
0.1b	(cbrt (- 1.0 m))
0.1b	(cbrt (- 1.0 m))
0.1b	(cbrt (- 1.0 m))

rewrite23.0ms

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:

10.0ms	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))
3.0ms	(cbrt (- 1.0 m))
3.0ms	(cbrt (- 1.0 m))
3.0ms	(cbrt (- 1.0 m))

series486.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))
118.0ms	(cbrt (- 1.0 m))
111.0ms	(cbrt (- 1.0 m))
119.0ms	(cbrt (- 1.0 m))

simplify149.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (138.0ms)

Iter	Nodes	Cost
0	316	847
1	1003	807
2	4436	750
3	5001	746

prune545.0ms

Filtered

113 candidates to 81 candidates (28.3%)

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

regimes105.0ms

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	17	12

end0.0ms

sample971.0ms

Algorithm

intervals

Results

388.0ms	13709×	body	80	valid
232.0ms	13709×	pre	80	true

Details

sample322.0ms

simplify79.0ms

prune5.0ms

localize27.0ms

rewrite34.0ms

series164.0ms

simplify58.0ms

prune356.0ms

localize16.0ms

rewrite55.0ms

series500.0ms

simplify41.0ms

prune1.0s

localize7.0ms

rewrite33.0ms

series132.0ms

simplify69.0ms

prune543.0ms

localize11.0ms

rewrite23.0ms

series486.0ms

simplify149.0ms

prune545.0ms

regimes105.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample971.0ms

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