Details

sample331.0ms

Algorithm

intervals

Results

11.0ms	441×	body	80	valid
6.0ms	441×	pre	80	true

simplify88.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	112	6
3	393	6
4	1344	6
5	4072	6
6	5001	6
done	5001	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 125

Calls

3 calls:

23.0ms	(* m (- 1.0 m))
103.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
23.0ms	(/ (* m (- 1.0 m)) v)

series136.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* m (- 1.0 m))
42.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
48.0ms	(/ (* m (- 1.0 m)) v)

simplify79.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	500	1273
1	2527	968
2	5002	962
done	5002	962

prune187.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite329.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 199

Calls

3 calls:

11.0ms	(/ v (- 1.0 m))
291.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
17.0ms	(/ m (/ v (- 1.0 m)))

series113.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ v (- 1.0 m))
39.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
38.0ms	(/ m (/ v (- 1.0 m)))

simplify108.0ms

Counts

208 → 208

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	774	1889
1	4024	1694
2	5002	1693
done	5002	1693

prune399.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (- 1.0 m))
0.2b	(/ (* m (- 1.0 m)) (sqrt v))
0.3b	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 228

Calls

4 calls:

23.0ms	(* m (- 1.0 m))
229.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (- 1.0 m))
22.0ms	(/ (* m (- 1.0 m)) (sqrt v))
21.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series201.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* m (- 1.0 m))
48.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (- 1.0 m))
58.0ms	(/ (* m (- 1.0 m)) (sqrt v))
48.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify119.0ms

Counts

240 → 240

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	882	2669
1	4362	2078
2	5001	2067
done	5001	2067

prune373.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6
done	10	6

end0.0ms

sample802.0ms

Algorithm

intervals

Results

308.0ms	13711×	body	80	valid
174.0ms	13711×	pre	80	true