Details

sample281.0ms

Algorithm

intervals

Results

11.0ms	451×	body	80	valid
7.0ms	451×	pre	80	true

simplify4.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	68	11
4	160	11
5	290	11
6	467	11
7	598	11
8	923	11
9	1630	11
10	2313	11
11	3126	11
done	5000	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)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite75.0ms

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:

16.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series128.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* m (- 1.0 m))
40.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify804.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (140.0ms)

Iter	Nodes	Cost
0	177	1426
1	407	1223
2	1868	1020
done	5000	1020

prune168.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
0.3b	(/ (- 1.0 m) (sqrt v))
0.3b	(/ m (sqrt v))
0.4b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 208

Calls

4 calls:

41.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
9.0ms	(/ (- 1.0 m) (sqrt v))
3.0ms	(/ m (sqrt v))
33.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series180.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify1.3s

Counts

220 → 220

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	296	3109
1	837	2901
2	3590	2509
done	5000	2501

prune421.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- 1.0 m) (sqrt v))
0.3b	(* (/ (sqrt m) (sqrt v)) (/ (- 1.0 m) (sqrt v)))
0.4b	(* (/ (sqrt m) (sqrt 1)) (* (/ (sqrt m) (sqrt v)) (/ (- 1.0 m) (sqrt v))))
0.4b	(/ (sqrt m) (sqrt v))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

196×	`add-sqr-sqrt`
190×	`times-frac`
164×	`sqrt-prod`
144×	`*-un-lft-identity`
118×	`add-cube-cbrt`
80×	`associate-l`
61×	`add-exp-log` `add-cbrt-cube`
35×	`associate-r`
22×	`prod-exp` `cbrt-unprod`
19×	`cbrt-undiv` `div-exp`
15×	`unswap-sqr`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
11×	`pow1` `associate-/l*`
6×	`frac-times` `associate-*r/`
5×	`div-inv`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative` `associate-/l/`
1×	`sqrt-undiv` `flip3--` `div-sub` `flip--`

Counts

4 → 312

Calls

4 calls:

9.0ms	(/ (- 1.0 m) (sqrt v))
45.0ms	(* (/ (sqrt m) (sqrt v)) (/ (- 1.0 m) (sqrt v)))
49.0ms	(* (/ (sqrt m) (sqrt 1)) (* (/ (sqrt m) (sqrt v)) (/ (- 1.0 m) (sqrt v))))
4.0ms	(/ (sqrt m) (sqrt v))

series214.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (- 1.0 m) (sqrt v))
72.0ms	(* (/ (sqrt m) (sqrt v)) (/ (- 1.0 m) (sqrt v)))
50.0ms	(* (/ (sqrt m) (sqrt 1)) (* (/ (sqrt m) (sqrt v)) (/ (- 1.0 m) (sqrt v))))
49.0ms	(/ (sqrt m) (sqrt v))

simplify2.4s

Counts

324 → 324

Iterations

Useful iterations: 2 (389.0ms)

Iter	Nodes	Cost
0	375	5457
1	1083	4986
2	4692	3938
done	5000	3938

prune736.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize9.0ms

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))

rewrite254.0ms

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:

11.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
175.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
53.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series202.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
35.0ms	(/ (* m (- 1.0 m)) v)
72.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
50.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify991.0ms

Counts

136 → 136

Iterations

Useful iterations: done (987.0ms)

Iter	Nodes	Cost
0	222	2083
1	540	1762
2	2293	1476
done	5001	1472

prune208.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
done	10	11

end0.0ms

sample686.0ms

Algorithm

intervals

Results

298.0ms	13536×	body	80	valid
174.0ms	13536×	pre	80	true