Details

sample88.0ms

Algorithm

intervals

Results

16.0ms	460×	body	80	valid
8.0ms	460×	pre	80	true

simplify6.2s

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

localize19.0ms

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)

rewrite169.0ms

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:

33.0ms	(* m (- 1.0 m))
24.0ms	(/ (* m (- 1.0 m)) v)
108.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series217.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(* m (- 1.0 m))
50.0ms	(/ (* m (- 1.0 m)) v)
77.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify3.4s

Counts

80 → 80

Iterations

Useful iterations: done (3.3s)

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

prune265.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite475.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
116×	`add-sqr-sqrt`
107×	`*-un-lft-identity`
73×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`difference-of-squares`
17×	`distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
7×	`associate-l`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `add-log-exp`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 163

Calls

3 calls:

11.0ms	(/ v (- 1.0 m))
18.0ms	(/ m (/ v (- 1.0 m)))
435.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series162.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ v (- 1.0 m))
54.0ms	(/ m (/ v (- 1.0 m)))
46.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify1.6s

Counts

172 → 172

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	271	2534
1	590	2377
2	2061	2267
done	5000	2250

prune606.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

783×	`times-frac`
467×	`add-sqr-sqrt`
448×	`*-un-lft-identity`
338×	`add-cube-cbrt`
75×	`associate-/r*`
59×	`difference-of-squares`
54×	`distribute-lft-out--`
35×	`associate-/r/`
34×	`add-exp-log`
27×	`associate-/l*`
24×	`div-inv`
22×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
12×	`associate-l`
10×	`cbrt-undiv`
7×	`pow1`
4×	`add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-r` `clear-num`
2×	`associate-*l/`
1×	`pow-flip` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

4 → 464

Calls

4 calls:

25.0ms	(/ v (- 1.0 m))
31.0ms	(/ (/ v (- 1.0 m)) m)
941.0ms	(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) m)
55.0ms	(/ 1 (/ (/ v (- 1.0 m)) m))

series232.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ v (- 1.0 m))
55.0ms	(/ (/ v (- 1.0 m)) m)
57.0ms	(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) m)
64.0ms	(/ 1 (/ (/ v (- 1.0 m)) m))

simplify2.8s

Counts

476 → 476

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	650	9146
1	1514	8014
2	3206	7070
done	5000	6961

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (- 1.0 m))
0.1b	(* (- (* (sqrt m) (/ (sqrt m) (/ v (- 1.0 m)))) 1.0) m)
0.3b	(/ (sqrt m) (/ v (- 1.0 m)))
0.4b	(* (sqrt m) (/ (sqrt m) (/ v (- 1.0 m))))

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

474×	`times-frac`
342×	`add-sqr-sqrt`
308×	`*-un-lft-identity`
222×	`add-cube-cbrt`
141×	`sqrt-prod`
134×	`associate-r`
43×	`distribute-lft-out--` `difference-of-squares`
30×	`associate-/r/`
26×	`associate-/r*`
22×	`add-exp-log` `add-cbrt-cube`
16×	`div-inv`
15×	`flip3--` `flip--`
11×	`unswap-sqr`
9×	`associate-l` `associate-/l*`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`
1×	`associate-*r/`

Counts

4 → 388

Calls

4 calls:

21.0ms	(/ v (- 1.0 m))
179.0ms	(* (- (* (sqrt m) (/ (sqrt m) (/ v (- 1.0 m)))) 1.0) m)
28.0ms	(/ (sqrt m) (/ v (- 1.0 m)))
94.0ms	(* (sqrt m) (/ (sqrt m) (/ v (- 1.0 m))))

series349.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(/ v (- 1.0 m))
74.0ms	(* (- (* (sqrt m) (/ (sqrt m) (/ v (- 1.0 m)))) 1.0) m)
98.0ms	(/ (sqrt m) (/ v (- 1.0 m)))
96.0ms	(* (sqrt m) (/ (sqrt m) (/ v (- 1.0 m))))

simplify2.6s

Counts

400 → 400

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	461	6827
1	1066	5956
2	4039	5651
done	5000	5613

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.2b 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	8	11
1	9	11
done	9	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

745.0ms	13812×	body	80	valid
282.0ms	13812×	pre	80	true