Details

sample345.0ms

Algorithm

intervals

Results

10.0ms	441×	body	80	valid
6.0ms	441×	pre	80	true

simplify120.0ms

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
done	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

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)

rewrite108.0ms

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:

19.0ms	(* m (- 1.0 m))
15.0ms	(/ (* m (- 1.0 m)) v)
70.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series136.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* m (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)
50.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify45.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (39.0ms)

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

prune142.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 172

Calls

4 calls:

19.0ms	(* m (- 1.0 m))
200.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
16.0ms	(/ (* m (- 1.0 m)) (sqrt v))
20.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series198.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
49.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
53.0ms	(/ (* m (- 1.0 m)) (sqrt v))
51.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify85.0ms

Counts

184 → 184

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	682	1603
1	3195	1370
2	5002	1360
done	5002	1360

prune321.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 1 (sqrt v)) (sqrt (cbrt v)))
0.4b	(* (/ m (/ (fabs (cbrt v)) (- 1.0 m))) (/ (/ 1 (sqrt v)) (sqrt (cbrt v))))
0.6b	(cbrt v)
0.6b	(cbrt v)

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

975×	`times-frac`
663×	`add-sqr-sqrt`
489×	`sqrt-prod`
474×	`*-un-lft-identity`
438×	`add-cube-cbrt`
202×	`associate-r`
156×	`cbrt-prod`
73×	`add-exp-log`
68×	`associate-l`
48×	`unswap-sqr`
45×	`add-cbrt-cube`
39×	`div-exp`
25×	`div-inv`
22×	`associate-/l*`
21×	`cbrt-undiv`
15×	`prod-exp`
9×	`associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
7×	`pow1` `associate-/r/`
4×	`rec-exp` `pow1/3` `1-exp` `add-log-exp`
3×	`flip3--` `sqrt-pow1` `flip--`
2×	`pow-flip` `pow-div`
1×	`frac-times` `frac-2neg` `pow1/2` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `associate-/l/`

Counts

4 → 624

Calls

4 calls:

20.0ms	(/ (/ 1 (sqrt v)) (sqrt (cbrt v)))
245.0ms	(* (/ m (/ (fabs (cbrt v)) (- 1.0 m))) (/ (/ 1 (sqrt v)) (sqrt (cbrt v))))
1.0ms	(cbrt v)
1.0ms	(cbrt v)

series693.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(/ (/ 1 (sqrt v)) (sqrt (cbrt v)))
179.0ms	(* (/ m (/ (fabs (cbrt v)) (- 1.0 m))) (/ (/ 1 (sqrt v)) (sqrt (cbrt v))))
175.0ms	(cbrt v)
181.0ms	(cbrt v)

simplify106.0ms

Counts

636 → 636

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	2352	8985
1	5001	8398
done	5001	8398

prune1.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

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))

rewrite152.0ms

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:

109.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
13.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
13.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
13.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

series836.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
209.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
209.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
213.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

simplify133.0ms

Counts

113 → 113

Iterations

Useful iterations: 3 (115.0ms)

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

prune286.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5
done	10	5

end0.0ms

sample740.0ms

Algorithm

intervals

Results

287.0ms	13711×	body	80	valid
166.0ms	13711×	pre	80	true