Details

sample121.0ms

Algorithm

intervals

Results

16.0ms	448×	body	80	valid
8.0ms	448×	pre	80	true

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	110	13
4	379	13
5	1133	13
6	3190	13
done	5000	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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) (- 1.0 m))

rewrite303.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `prod-diff`
49×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
7×	`fma-neg`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`prod-exp` `associate-/r*` `cbrt-unprod`
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 → 169

Calls

4 calls:

27.0ms	(* m (- 1.0 m))
55.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
46.0ms	(/ (* m (- 1.0 m)) v)
159.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series213.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* m (- 1.0 m))
31.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
48.0ms	(/ (* m (- 1.0 m)) v)
65.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.6s

Counts

181 → 181

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	265	3570
1	579	2895
2	1784	2511
done	5001	2405

prune389.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite672.0ms

Algorithm

rewrite-expression-head

Rules

561×	`times-frac`
457×	`add-sqr-sqrt`
441×	`*-un-lft-identity`
339×	`add-cube-cbrt`
222×	`prod-diff`
68×	`fma-neg`
55×	`difference-of-squares`
51×	`distribute-lft-out--`
37×	`associate-/r/`
23×	`flip3--` `flip--`
21×	`associate-/r*` `div-inv`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
5×	`pow1` `associate-r` `add-log-exp`
4×	`frac-times`
3×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `log1p-expm1-u` `associate-/l*`
2×	`associate-r/` `associate-l/`
1×	`frac-2neg` `diff-log` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 450

Calls

3 calls:

166.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
25.0ms	(/ m (/ v (- 1.0 m)))
416.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series150.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
57.0ms	(/ m (/ v (- 1.0 m)))
61.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify2.4s

Counts

459 → 459

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	519	11642
1	1145	9162
2	3566	8135
done	5000	7943

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.1b	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
0.1b	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

36.0ms	(/ (- 1.0 m) v)
38.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
0.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

series177.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- 1.0 m) v)
71.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
51.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

simplify3.3s

Counts

105 → 105

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	181	2093
1	379	1736
2	1046	1543
3	4235	1501
done	5000	1498

prune280.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 109

Calls

4 calls:

4.0ms	(cbrt (- 1.0 m))
4.0ms	(cbrt (- 1.0 m))
4.0ms	(cbrt (- 1.0 m))
65.0ms	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))

series618.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (- 1.0 m))
144.0ms	(cbrt (- 1.0 m))
175.0ms	(cbrt (- 1.0 m))
151.0ms	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))

simplify2.2s

Counts

121 → 121

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	152	1619
1	330	1463
2	848	1391
3	2128	1271
done	5001	1242

prune484.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	9	13
done	9	13

end0.0ms

sample2.0s

Algorithm

intervals

Results

853.0ms	13645×	body	80	valid
694.0ms	13645×	pre	80	true