Details

sample117.0ms

Algorithm

intervals

Results

15.0ms	438×	body	80	valid
8.0ms	438×	pre	80	true

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	4477
6	1331
5	417
4	171
3	67
2	34
1	16
0	8

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 3 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) m)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

22.0ms	(* m (- 1.0 m))
23.0ms	(/ (* m (- 1.0 m)) v)
67.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series159.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* m (- 1.0 m))
45.0ms	(/ (* m (- 1.0 m)) v)
63.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.1s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	1694
1	338
0	126

prune292.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite147.0ms

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

Counts

3 → 96

Calls

3 calls:

25.0ms	(/ (- 1.0 m) v)
77.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
38.0ms	(* m (/ (- 1.0 m) v))

series145.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (- 1.0 m) v)
45.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
55.0ms	(* m (/ (- 1.0 m) v))

simplify1.0s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1857
1	397
0	149

prune462.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (/ v m) (- 1.0 m))
0.1b	(* (- (/ 1 (/ (/ v m) (- 1.0 m))) 1.0) m)
0.3b	(/ 1 (/ (/ v m) (- 1.0 m)))

rewrite908.0ms

Algorithm

rewrite-expression-head

Rules

784×	`times-frac`
486×	`add-sqr-sqrt`
467×	`*-un-lft-identity`
329×	`add-cube-cbrt`
76×	`associate-/r*`
73×	`difference-of-squares`
68×	`distribute-lft-out--`
33×	`div-inv`
31×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`div-exp`
16×	`associate-/l*`
12×	`associate-l`
11×	`associate-/r/`
9×	`cbrt-undiv`
6×	`pow1` `flip3--` `flip--`
3×	`rec-exp` `1-exp` `associate-r` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow` `unswap-sqr` `associate-/l/`

Counts

3 → 441

Calls

3 calls:

20.0ms	(/ (/ v m) (- 1.0 m))
829.0ms	(* (- (/ 1 (/ (/ v m) (- 1.0 m))) 1.0) m)
27.0ms	(/ 1 (/ (/ v m) (- 1.0 m)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(/ (/ v m) (- 1.0 m))
64.0ms	(* (- (/ 1 (/ (/ v m) (- 1.0 m))) 1.0) m)
71.0ms	(/ 1 (/ (/ v m) (- 1.0 m)))

simplify1.3s

Counts

450 → 450

Iterations

Iter	Nodes
done	5000
1	1808
0	615

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (/ 1 m) (- 1.0 m))
0.1b	(* (- (/ (/ 1 v) (/ (/ 1 m) (- 1.0 m))) 1.0) m)
0.4b	(/ (/ 1 v) (/ (/ 1 m) (- 1.0 m)))

rewrite2.5s

Algorithm

rewrite-expression-head

Rules

3265×	`times-frac`
1699×	`add-sqr-sqrt`
1652×	`*-un-lft-identity`
1251×	`add-cube-cbrt`
209×	`difference-of-squares`
197×	`distribute-lft-out--`
164×	`div-inv`
79×	`add-exp-log`
76×	`associate-/r*`
60×	`div-exp`
31×	`add-cbrt-cube` `associate-/r/`
26×	`associate-/l*`
18×	`cbrt-undiv`
17×	`associate-l`
16×	`flip3--` `flip--`
10×	`rec-exp` `1-exp`
5×	`pow1`
3×	`associate-r` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*l/` `associate-/l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 1181

Calls

3 calls:

15.0ms	(/ (/ 1 m) (- 1.0 m))
2.2s	(* (- (/ (/ 1 v) (/ (/ 1 m) (- 1.0 m))) 1.0) m)
91.0ms	(/ (/ 1 v) (/ (/ 1 m) (- 1.0 m)))

series231.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ (/ 1 m) (- 1.0 m))
89.0ms	(* (- (/ (/ 1 v) (/ (/ 1 m) (- 1.0 m))) 1.0) m)
79.0ms	(/ (/ 1 v) (/ (/ 1 m) (- 1.0 m)))

simplify788.0ms

Counts

1190 → 1190

Iterations

Iter	Nodes
done	5000
0	1558

prune5.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes193.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	13678×	body	80	valid
316.0ms	13678×	pre	80	true