Details

sample372.0ms

Algorithm

intervals

Results

9.0ms	390×	body	80	valid
5.0ms	390×	pre	80	true

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	65	11
4	165	11
5	315	11
6	389	11
7	422	11
8	510	11
9	709	11
10	1021	11
11	1550	11
12	3427	11
done	5001	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite109.0ms

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:

21.0ms	(* m (- 1.0 m))
15.0ms	(/ (* m (- 1.0 m)) v)
69.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series134.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify2.2s

Counts

80 → 80

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	126	882
1	307	845
2	969	747
3	4338	735
done	5001	723

prune141.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

15.0ms	(/ (- 1.0 m) v)
50.0ms	(* (- (* (/ (- 1.0 m) v) m) 1.0) m)
27.0ms	(* (/ (- 1.0 m) v) m)

series111.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (- 1.0 m) v)
36.0ms	(* (- (* (/ (- 1.0 m) v) m) 1.0) m)
40.0ms	(* (/ (- 1.0 m) v) m)

simplify1.9s

Counts

105 → 105

Iterations

Useful iterations: 3 (892.0ms)

Iter	Nodes	Cost
0	149	1184
1	370	1141
2	1036	1035
3	3511	1023
done	5001	1023

prune202.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

20.0ms	(* m (- 1.0 m))
11.0ms	(/ v (* m (- 1.0 m)))
184.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
24.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series186.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* m (- 1.0 m))
41.0ms	(/ v (* m (- 1.0 m)))
52.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
46.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify972.0ms

Counts

150 → 150

Iterations

Useful iterations: done (968.0ms)

Iter	Nodes	Cost
0	228	2016
1	509	1824
2	1385	1558
done	5001	1512

prune227.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite670.0ms

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×	`frac-2neg` `associate-*l/` `clear-num`
1×	`pow-flip` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

3 → 441

Calls

3 calls:

17.0ms	(/ (/ v m) (- 1.0 m))
590.0ms	(* (- (/ 1 (/ (/ v m) (- 1.0 m))) 1.0) m)
29.0ms	(/ 1 (/ (/ v m) (- 1.0 m)))

series136.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ (/ v m) (- 1.0 m))
51.0ms	(* (- (/ 1 (/ (/ v m) (- 1.0 m))) 1.0) m)
45.0ms	(/ 1 (/ (/ v m) (- 1.0 m)))

simplify1.6s

Counts

450 → 450

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	615	8890
1	1445	7743
2	3278	6793
done	5001	6666

prune625.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	12	15
done	12	15

end0.0ms

sample884.0ms

Algorithm

intervals

Results

304.0ms	13495×	pre	80	true
290.0ms	13495×	body	80	valid