Details

sample277.0ms

Algorithm

intervals

Results

11.0ms	461×	body	80	valid
7.0ms	461×	pre	80	true

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	62	11
4	140	11
5	222	11
6	295	11
7	334	11
8	438	11
9	794	11
10	1091	11
11	1638	11
12	3733	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 4 expressions with local error:

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

rewrite71.0ms

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:

10.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
14.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
36.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series158.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
46.0ms	(* m (- 1.0 m))
42.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify2.4s

Counts

97 → 97

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	138	1137
1	333	1097
2	1020	981
3	4634	951
done	5000	951

prune177.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

8.0ms	(- (* (/ m v) (- 1.0 m)) 1.0)
15.0ms	(* (/ m v) (- 1.0 m))
40.0ms	(* (* 1 (- (* (/ m v) (- 1.0 m)) 1.0)) m)

series100.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- (* (/ m v) (- 1.0 m)) 1.0)
38.0ms	(* (/ m v) (- 1.0 m))
39.0ms	(* (* 1 (- (* (/ m v) (- 1.0 m)) 1.0)) m)

simplify909.0ms

Counts

88 → 88

Iterations

Useful iterations: done (907.0ms)

Iter	Nodes	Cost
0	154	1171
1	397	1081
2	1283	943
done	5000	925

prune167.0ms

Pruning

6 alts after pruning (5 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))))

rewrite148.0ms

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:

10.0ms	(* m (- 1.0 m))
5.0ms	(/ v (* m (- 1.0 m)))
116.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
13.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series188.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* m (- 1.0 m))
41.0ms	(/ v (* m (- 1.0 m)))
51.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
48.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify895.0ms

Counts

150 → 150

Iterations

Useful iterations: done (892.0ms)

Iter	Nodes	Cost
0	228	2016
1	523	1824
2	1447	1558
done	5000	1542

prune233.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (/ 1 (* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m)))) 1.0) m)
0.3b	(/ (sqrt v) m)
0.3b	(/ 1 (* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m))))
0.4b	(* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m)))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
81×	`times-frac`
68×	`*-un-lft-identity`
64×	`add-exp-log`
53×	`add-cube-cbrt`
42×	`sqrt-prod`
39×	`associate-r`
38×	`add-cbrt-cube`
28×	`associate-l`
27×	`div-exp`
17×	`prod-exp`
14×	`cbrt-undiv`
11×	`pow1`
10×	`unswap-sqr`
9×	`cbrt-unprod` `associate-/l*`
8×	`distribute-lft-out--`
7×	`difference-of-squares`
5×	`rec-exp` `1-exp` `associate-/r/` `div-inv`
4×	`associate-l/` `associate-/r` `add-log-exp`
3×	`pow-prod-down`
2×	`frac-times` `flip3--` `pow-flip` `frac-2neg` `associate-r/` `clear-num` `-commutative` `flip--`
1×	`inv-pow`

Counts

4 → 192

Calls

4 calls:

104.0ms	(* (- (/ 1 (* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m)))) 1.0) m)
3.0ms	(/ (sqrt v) m)
20.0ms	(/ 1 (* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m))))
38.0ms	(* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (- (/ 1 (* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m)))) 1.0) m)
62.0ms	(/ (sqrt v) m)
51.0ms	(/ 1 (* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m))))
47.0ms	(* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m)))

simplify1.0s

Counts

204 → 204

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	325	3226
1	906	2548
2	2884	2294
done	5001	2288

prune365.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes47.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	10	13
1	15	11
done	15	11

end0.0ms

sample707.0ms

Algorithm

intervals

Results

312.0ms	13714×	body	80	valid
178.0ms	13714×	pre	80	true