Details

sample129.0ms

Algorithm

intervals

Results

29.0ms	458×	body	80	valid
15.0ms	458×	pre	80	true

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

39.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
40.0ms	(* m (- 1.0 m))
18.0ms	(/ (* m (- 1.0 m)) v)
112.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series209.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
49.0ms	(* m (- 1.0 m))
74.0ms	(/ (* m (- 1.0 m)) v)
56.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify4.0s

Counts

97 → 97

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	138	1137
1	331	1097
2	1008	981
3	4418	951
done	5000	939

prune199.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.2b	(* (pow (- (/ (* m (- 1.0 m)) v) 1.0) 1) m)

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

36.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
32.0ms	(* m (- 1.0 m))
33.0ms	(/ (* m (- 1.0 m)) v)
155.0ms	(* (pow (- (/ (* m (- 1.0 m)) v) 1.0) 1) m)

series175.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
52.0ms	(* m (- 1.0 m))
51.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (pow (- (/ (* m (- 1.0 m)) v) 1.0) 1) m)

simplify1.5s

Counts

103 → 103

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	155	1297
1	363	1163
2	1125	1059
done	5000	1029

prune349.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (- 1.0 m) (/ v m)) 1.0)
0.2b	(* (pow (- (/ (- 1.0 m) (/ v m)) 1.0) 1) m)
0.3b	(/ (- 1.0 m) (/ v m))

rewrite819.0ms

Algorithm

rewrite-expression-head

Rules

125×	`times-frac`
113×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
62×	`add-cube-cbrt`
20×	`difference-of-squares`
16×	`distribute-lft-out--`
13×	`add-exp-log` `associate-/r*`
11×	`associate-l`
10×	`add-cbrt-cube`
8×	`unpow-prod-down`
7×	`div-inv`
5×	`associate-/l*` `add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `div-exp` `associate-r` `prod-exp` `unswap-sqr`
2×	`flip3--` `div-sub` `flip--` `associate-/l/` `sqr-pow`
1×	`associate--l-` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `pow-exp` `clear-num` `associate-/r/` `*-commutative` `cbrt-unprod`

Counts

3 → 148

Calls

3 calls:

170.0ms	(- (/ (- 1.0 m) (/ v m)) 1.0)
609.0ms	(* (pow (- (/ (- 1.0 m) (/ v m)) 1.0) 1) m)
32.0ms	(/ (- 1.0 m) (/ v m))

series172.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (/ (- 1.0 m) (/ v m)) 1.0)
56.0ms	(* (pow (- (/ (- 1.0 m) (/ v m)) 1.0) 1) m)
69.0ms	(/ (- 1.0 m) (/ v m))

simplify1.9s

Counts

157 → 157

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	267	2554
1	692	2329
2	2233	2205
done	5001	2194

prune528.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (- 1.0 m) (/ m v)) 1.0)
0.1b	(* (- 1.0 m) (/ m v))
0.2b	(* (pow (- (* (- 1.0 m) (/ m v)) 1.0) 1) m)

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
16×	`-un-lft-identity` `associate-r*`
14×	`add-cube-cbrt`
13×	`add-exp-log`
12×	`associate-l`
10×	`times-frac` `add-cbrt-cube`
6×	`pow1`
5×	`prod-exp` `add-log-exp` `unswap-sqr`
4×	`unpow-prod-down`
3×	`flip3--` `flip--` `cbrt-unprod`
2×	`frac-times` `pow-prod-down` `associate-l/` `-commutative` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `diff-log` `associate-*r/` `div-exp` `pow-exp` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 76

Calls

3 calls:

37.0ms	(- (* (- 1.0 m) (/ m v)) 1.0)
45.0ms	(* (- 1.0 m) (/ m v))
167.0ms	(* (pow (- (* (- 1.0 m) (/ m v)) 1.0) 1) m)

series164.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (* (- 1.0 m) (/ m v)) 1.0)
60.0ms	(* (- 1.0 m) (/ m v))
67.0ms	(* (pow (- (* (- 1.0 m) (/ m v)) 1.0) 1) m)

simplify1.6s

Counts

85 → 85

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	151	1194
1	357	1061
2	1329	981
done	5000	939

prune263.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes71.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	10	13
1	14	11
done	14	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

745.0ms	13849×	body	80	valid
438.0ms	13849×	pre	80	true