Details

sample331.0ms

Algorithm

intervals

Results

10.0ms	423×	body	80	valid
6.0ms	423×	pre	80	true

simplify85.0ms

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: 0.1b

localize31.0ms

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

rewrite183.0ms

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:

27.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
22.0ms	(* m (- 1.0 m))
101.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
25.0ms	(/ (* m (- 1.0 m)) v)

series159.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
48.0ms	(* m (- 1.0 m))
36.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
50.0ms	(/ (* m (- 1.0 m)) v)

simplify90.0ms

Counts

181 → 181

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	583	1692
1	2838	1209
2	5002	1196
done	5002	1196

prune255.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite467.0ms

Algorithm

rewrite-expression-head

Rules

576×	`times-frac`
476×	`add-sqr-sqrt`
460×	`*-un-lft-identity`
350×	`add-cube-cbrt`
222×	`prod-diff`
68×	`fma-neg`
59×	`difference-of-squares`
55×	`distribute-lft-out--`
39×	`associate-/r/`
26×	`associate-/r*`
24×	`flip3--` `flip--`
22×	`div-inv`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-l`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `log1p-expm1-u`
3×	`sub-neg`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 489

Calls

4 calls:

118.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
11.0ms	(/ v (- 1.0 m))
17.0ms	(/ m (/ v (- 1.0 m)))
287.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series143.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
38.0ms	(/ v (- 1.0 m))
37.0ms	(/ m (/ v (- 1.0 m)))
44.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify72.0ms

Counts

501 → 501

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1224	6304
1	5001	4818
done	5001	4818

prune818.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
0.0b	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.1b	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
11.8b	(/ (pow m 2) v)

rewrite576.0ms

Algorithm

rewrite-expression-head

Rules

86×	`prod-diff`
84×	`*-un-lft-identity`
81×	`add-sqr-sqrt`
77×	`times-frac`
73×	`add-cube-cbrt`
30×	`unpow-prod-down` `associate--l+`
15×	`unpow2`
11×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-log-exp`
10×	`sqr-pow`
8×	`flip3--` `add-cbrt-cube` `flip--` `associate-/l*`
6×	`pow1`
5×	`sub-neg` `distribute-rgt-out--` `fma-neg` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `diff-log` `associate-*r/` `log1p-expm1-u`
3×	`div-exp` `associate-/r*` `div-inv` `distribute-lft-out--` `difference-of-squares`
2×	`associate-*l/`
1×	`cbrt-undiv` `associate--l-` `pow-to-exp` `frac-2neg` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `sub-div` `unswap-sqr`

Counts

4 → 215

Calls

4 calls:

161.0ms	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
20.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
374.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
11.0ms	(/ (pow m 2) v)

series117.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
33.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
40.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
19.0ms	(/ (pow m 2) v)

simplify145.0ms

Counts

227 → 227

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	1066	2934
1	4722	2019
2	5001	2016
done	5001	2016

prune452.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

90×	`prod-diff`
87×	`add-sqr-sqrt`
83×	`*-un-lft-identity`
80×	`sqrt-prod`
71×	`add-cube-cbrt`
50×	`distribute-rgt-in` `distribute-lft-in`
32×	`frac-times`
23×	`flip3--` `flip--`
19×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/`
14×	`associate-*r/`
13×	`pow1`
12×	`flip3-+` `flip-+`
9×	`associate-l`
6×	`prod-exp` `cbrt-unprod` `difference-of-squares`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`times-frac` `associate-/r` `-commutative`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 233

Calls

4 calls:

22.0ms	(* m (- 1.0 m))
20.0ms	(/ (* m (- 1.0 m)) v)
157.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
108.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
42.0ms	(/ (* m (- 1.0 m)) v)
131.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
138.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify64.0ms

Counts

245 → 245

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1234	4829
1	5001	3996
done	5001	3996

prune480.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.1b 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	17	12
1	17	12
done	17	12

end0.0ms

sample728.0ms

Algorithm

intervals

Results

290.0ms	13778×	body	80	valid
158.0ms	13778×	pre	80	true