Details

sample291.0ms

Algorithm

intervals

Results

11.0ms	461×	body	80	valid
6.0ms	461×	pre	80	true

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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	363	11
8	547	11
9	931	11
10	1174	11
11	1802	11
12	4633	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 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)

rewrite70.0ms

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:

9.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
9.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
42.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series154.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
46.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
48.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify589.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (120.0ms)

Iter	Nodes	Cost
0	138	1137
1	333	1097
2	1242	981
done	5000	981

prune179.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v)))
0.1b	(* (- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v))) m)
11.9b	(/ (pow m 2) v)

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down`
10×	`add-exp-log`
8×	`associate-/l*` `add-log-exp`
7×	`add-cbrt-cube`
5×	`pow1`
4×	`associate-r/` `associate-l/` `frac-sub` `unpow2` `sqr-pow`
3×	`div-exp` `associate-r` `associate-l` `associate-/r*`
2×	`flip3--` `flip3-+` `diff-log` `flip--` `flip-+`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `frac-2neg` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `associate--r+` `unswap-sqr`

Counts

3 → 87

Calls

3 calls:

24.0ms	(- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v)))
98.0ms	(* (- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v))) m)
4.0ms	(/ (pow m 2) v)

series79.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v)))
35.0ms	(* (- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v))) m)
21.0ms	(/ (pow m 2) v)

simplify668.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (175.0ms)

Iter	Nodes	Cost
0	165	1507
1	377	1414
2	1343	1255
done	5001	1255

prune199.0ms

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))))

rewrite139.0ms

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:

9.0ms	(* m (- 1.0 m))
6.0ms	(/ v (* m (- 1.0 m)))
109.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
10.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series180.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* m (- 1.0 m))
40.0ms	(/ v (* m (- 1.0 m)))
50.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
44.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify710.0ms

Counts

150 → 150

Iterations

Useful iterations: 2 (203.0ms)

Iter	Nodes	Cost
0	228	2016
1	523	1824
2	1933	1542
done	5001	1542

prune232.0ms

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)))

rewrite165.0ms

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:

98.0ms	(* (- (/ 1 (* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m)))) 1.0) m)
3.0ms	(/ (sqrt v) m)
19.0ms	(/ 1 (* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m))))
36.0ms	(* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m)))

series221.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (- (/ 1 (* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m)))) 1.0) m)
61.0ms	(/ (sqrt v) m)
49.0ms	(/ 1 (* (/ (sqrt v) m) (/ (sqrt v) (- 1.0 m))))
45.0ms	(* (/ (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	3108	2294
done	5001	2288

prune368.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes47.0ms

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	11	15
1	14	15
done	14	15

end0.0ms

sample695.0ms

Algorithm

intervals

Results

302.0ms	13714×	body	80	valid
175.0ms	13714×	pre	80	true