Details

sample340.0ms

Algorithm

intervals

Results

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

simplify131.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	72	5
3	188	5
4	406	5
5	636	5
6	938	5
7	1312	5
8	1969	5
9	2932	5
10	3912	5
11	5001	5
done	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

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)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `associate-r` `associate-l`
7×	`fma-neg`
6×	`add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
3×	`sub-neg` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
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 → 139

Calls

4 calls:

27.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
23.0ms	(* m (- 1.0 m))
20.0ms	(/ (* m (- 1.0 m)) v)
84.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series169.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
51.0ms	(* m (- 1.0 m))
40.0ms	(/ (* m (- 1.0 m)) v)
53.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify76.0ms

Counts

151 → 151

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	492	1130
1	2310	788
2	5002	775
done	5002	775

prune231.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

14.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
16.0ms	(/ (- 1.0 m) v)
48.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
28.0ms	(* m (/ (- 1.0 m) v))

series141.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
34.0ms	(/ (- 1.0 m) v)
38.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
42.0ms	(* m (/ (- 1.0 m) v))

simplify62.0ms

Counts

132 → 132

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	444	741
1	2112	672
2	5002	660
done	5002	660

prune241.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ v (* m (- 1.0 m)))
0.2b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.3b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`times-frac`
40×	`add-cube-cbrt`
34×	`add-exp-log`
22×	`add-cbrt-cube`
18×	`prod-diff`
14×	`div-exp`
12×	`associate-*r/`
11×	`distribute-rgt-in` `distribute-lft-in` `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×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`rec-exp` `1-exp` `distribute-lft-out--`
2×	`sub-neg` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 164

Calls

4 calls:

23.0ms	(* m (- 1.0 m))
11.0ms	(/ v (* m (- 1.0 m)))
192.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
22.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series199.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* m (- 1.0 m))
43.0ms	(/ v (* m (- 1.0 m)))
56.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
48.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify85.0ms

Counts

176 → 176

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	610	1242
1	3104	955
2	5002	942
done	5002	942

prune266.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (- 1.0 m))
0.2b	(* (- (/ 1 (* (/ 1 m) (/ v (- 1.0 m)))) 1.0) m)
0.2b	(* (/ 1 m) (/ v (- 1.0 m)))
0.3b	(/ 1 (* (/ 1 m) (/ v (- 1.0 m))))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

108×	`add-exp-log`
69×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
51×	`div-exp`
49×	`times-frac`
38×	`add-cbrt-cube`
34×	`add-cube-cbrt`
33×	`prod-exp`
24×	`associate-r`
19×	`associate-l`
17×	`rec-exp` `1-exp`
14×	`cbrt-undiv`
11×	`pow1`
9×	`cbrt-unprod` `distribute-lft-out--`
8×	`difference-of-squares`
7×	`associate-/r/` `unswap-sqr`
6×	`associate-/r` `associate-/l`
5×	`div-inv`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow-prod-down` `flip--`
2×	`frac-times` `pow-flip` `frac-2neg` `associate-r/` `clear-num` `-commutative`
1×	`inv-pow`

Counts

4 → 187

Calls

4 calls:

11.0ms	(/ v (- 1.0 m))
152.0ms	(* (- (/ 1 (* (/ 1 m) (/ v (- 1.0 m)))) 1.0) m)
38.0ms	(* (/ 1 m) (/ v (- 1.0 m)))
35.0ms	(/ 1 (* (/ 1 m) (/ v (- 1.0 m))))

series154.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ v (- 1.0 m))
38.0ms	(* (- (/ 1 (* (/ 1 m) (/ v (- 1.0 m)))) 1.0) m)
33.0ms	(* (/ 1 m) (/ v (- 1.0 m)))
44.0ms	(/ 1 (* (/ 1 m) (/ v (- 1.0 m))))

simplify86.0ms

Counts

199 → 199

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	776	1275
1	3781	1049
2	5001	1042
done	5001	1042

prune323.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes53.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5
done	10	5

end0.0ms

sample775.0ms

Algorithm

intervals

Results

307.0ms	13778×	body	80	valid
167.0ms	13778×	pre	80	true