Details

sample287.0ms

Algorithm

intervals

Results

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

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	106	13
4	305	13
5	857	13
6	2453	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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) (- 1.0 m))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 169

Calls

4 calls:

16.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
12.0ms	(* m (- 1.0 m))
11.0ms	(/ (* m (- 1.0 m)) v)
60.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series153.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
47.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
47.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify984.0ms

Counts

181 → 181

Iterations

Useful iterations: 2 (332.0ms)

Iter	Nodes	Cost
0	265	3570
1	567	2895
2	2316	2448
done	5000	2448

prune266.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`associate-r` `associate-*l/`
7×	`flip3--` `flip--`
6×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
5×	`associate-l`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-*r/` `div-exp` `frac-add` `log1p-expm1-u` `associate-/l/`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`
1×	`+-commutative` `neg-mul-1` `fma-def` `flip3-+` `unsub-neg` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

22.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
10.0ms	(/ (* m (- 1.0 m)) v)
10.0ms	(/ (* m (- 1.0 m)) v)
50.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series150.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
40.0ms	(/ (* m (- 1.0 m)) v)
36.0ms	(/ (* m (- 1.0 m)) v)
35.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify681.0ms

Counts

115 → 115

Iterations

Useful iterations: done (678.0ms)

Iter	Nodes	Cost
0	174	2149
1	526	1838
2	2130	1650
done	5000	1647

prune262.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma 1.0 m (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
0.1b	(/ (* m (- 1.0 m)) v)
8.9b	(/ (pow m 3) v)
11.9b	(/ (pow m 2) v)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

63×	`times-frac`
50×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
21×	`associate-/l*`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`cube-prod`
9×	`associate-/r*`
8×	`div-exp` `sqr-pow`
6×	`add-log-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `cube-mult` `unpow3` `log1p-expm1-u` `unpow2`
3×	`frac-2neg` `fma-neg` `prod-diff` `clear-num` `div-inv`
2×	`pow-to-exp` `flip3--` `associate-*r/` `pow-exp` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `prod-exp` `associate--l+` `cbrt-unprod` `fma-udef`

Counts

4 → 164

Calls

4 calls:

2.0ms	(- (fma 1.0 m (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
10.0ms	(/ (* m (- 1.0 m)) v)
5.0ms	(/ (pow m 3) v)
4.0ms	(/ (pow m 2) v)

series115.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (fma 1.0 m (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
41.0ms	(/ (* m (- 1.0 m)) v)
20.0ms	(/ (pow m 3) v)
18.0ms	(/ (pow m 2) v)

simplify906.0ms

Counts

176 → 176

Iterations

Useful iterations: 2 (273.0ms)

Iter	Nodes	Cost
0	252	2137
1	531	1927
2	2377	1733
done	5000	1733

prune498.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

11.6b	(sqrt (/ (pow m 2) v))
11.6b	(sqrt (/ (pow m 2) v))
11.9b	(/ (pow m 2) v)
11.9b	(/ (pow m 2) v)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

104×	`times-frac`
82×	`add-sqr-sqrt`
68×	`add-cube-cbrt` `*-un-lft-identity`
56×	`sqrt-prod`
44×	`unpow-prod-down`
16×	`associate-/l*` `unpow2` `sqr-pow`
14×	`add-exp-log`
10×	`rem-sqrt-square`
8×	`add-cbrt-cube`
6×	`pow1` `div-exp` `associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `pow-exp` `clear-num`

Counts

4 → 192

Calls

4 calls:

5.0ms	(sqrt (/ (pow m 2) v))
5.0ms	(sqrt (/ (pow m 2) v))
4.0ms	(/ (pow m 2) v)
8.0ms	(/ (pow m 2) v)

series127.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sqrt (/ (pow m 2) v))
48.0ms	(sqrt (/ (pow m 2) v))
18.0ms	(/ (pow m 2) v)
19.0ms	(/ (pow m 2) v)

simplify2.6s

Counts

204 → 204

Iterations

Useful iterations: 3 (788.0ms)

Iter	Nodes	Cost
0	171	2278
1	285	2052
2	890	1760
3	4516	1718
done	5000	1718

prune750.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	36
1	24	36
done	24	36

end0.0ms

sample717.0ms

Algorithm

intervals

Results

308.0ms	13714×	body	80	valid
179.0ms	13714×	pre	80	true