Details

sample342.0ms

Algorithm

intervals

Results

10.0ms	390×	body	80	valid
6.0ms	390×	pre	80	true

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	70	11
4	183	11
5	363	11
6	533	11
7	613	11
8	732	11
9	1024	11
10	1463	11
11	2141	11
12	4183	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)

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `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 → 95

Calls

3 calls:

24.0ms	(* m (- 1.0 m))
24.0ms	(/ (* m (- 1.0 m)) v)
90.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series136.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* m (- 1.0 m))
43.0ms	(/ (* m (- 1.0 m)) v)
47.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.1s

Counts

104 → 104

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	177	1426
1	393	1223
2	1124	1038
done	5001	1001

prune161.0ms

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

rewrite100.0ms

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-exp-log` `add-cbrt-cube`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l`
5×	`associate-/l*`
3×	`expm1-log1p-u` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-*r/` `clear-num`

Counts

3 → 102

Calls

3 calls:

17.0ms	(/ (- 1.0 m) v)
50.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
29.0ms	(* m (/ (- 1.0 m) v))

series108.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (- 1.0 m) v)
39.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
37.0ms	(* m (/ (- 1.0 m) v))

simplify2.0s

Counts

111 → 111

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	155	1254
1	375	1185
2	1086	1083
3	3673	1071
done	5000	1071

prune207.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
0.4b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
25×	`add-cube-cbrt`
18×	`add-exp-log` `prod-diff` `add-cbrt-cube`
17×	`associate-r`
13×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-l`
7×	`sqrt-prod`
6×	`associate-*l/` `prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/r` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `div-exp` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 124

Calls

4 calls:

23.0ms	(* m (- 1.0 m))
22.0ms	(/ (* m (- 1.0 m)) v)
84.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
110.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series207.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
70.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
51.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify1.1s

Counts

136 → 136

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	222	2083
1	520	1758
2	1504	1494
done	5000	1451

prune233.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
63×	`sqrt-prod`
40×	`associate-r`
25×	`add-exp-log` `add-cbrt-cube`
23×	`associate-l`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
11×	`pow1`
9×	`unswap-sqr`
8×	`associate-/l*`
7×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
5×	`associate-*l/`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`flip3--` `frac-2neg` `clear-num` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 211

Calls

4 calls:

7.0ms	(/ m (sqrt v))
19.0ms	(/ (- 1.0 m) (sqrt v))
53.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))
105.0ms	(* (* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (sqrt m)) (sqrt m))

series194.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ m (sqrt v))
41.0ms	(/ (- 1.0 m) (sqrt v))
52.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))
53.0ms	(* (* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (sqrt m)) (sqrt m))

simplify1.6s

Counts

223 → 223

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	303	3281
1	827	2945
2	2747	2569
done	5000	2531

prune444.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes83.0ms

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	10	11
done	10	11

end0.0ms

sample785.0ms

Algorithm

intervals

Results

318.0ms	13495×	body	80	valid
168.0ms	13495×	pre	80	true