Details

sample102.0ms

Algorithm

intervals

Results

24.0ms	460×	body	80	valid
11.0ms	460×	pre	80	true

simplify9.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	70	11
4	183	11
5	363	11
6	533	11
7	613	11
8	732	11
9	1024	11
10	1463	11
11	2141	11
12	4183	11
done	5001	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

50.0ms	(* m (- 1.0 m))
47.0ms	(/ (* m (- 1.0 m)) v)
142.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series238.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(* m (- 1.0 m))
69.0ms	(/ (* m (- 1.0 m)) v)
89.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.8s

Counts

104 → 104

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	177	1426
1	393	1223
2	1124	1038
done	5001	1001

prune276.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite515.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
116×	`add-sqr-sqrt`
107×	`*-un-lft-identity`
73×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`difference-of-squares`
17×	`distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
7×	`associate-l`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 169

Calls

3 calls:

19.0ms	(/ v (- 1.0 m))
18.0ms	(/ m (/ v (- 1.0 m)))
460.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series164.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ v (- 1.0 m))
54.0ms	(/ m (/ v (- 1.0 m)))
66.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify1.7s

Counts

178 → 178

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	277	2586
1	606	2420
2	2120	2311
done	5000	2293

prune623.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.7s

Algorithm

rewrite-expression-head

Rules

2560×	`times-frac`
1412×	`add-sqr-sqrt`
1368×	`*-un-lft-identity`
1064×	`add-cube-cbrt`
909×	`sqrt-prod`
162×	`difference-of-squares`
152×	`distribute-lft-out--`
141×	`associate-/r*`
101×	`associate-/r/`
59×	`div-inv`
51×	`flip3--` `flip--`
30×	`associate-/l*`
22×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
10×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num`
2×	`associate-*l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`

Counts

4 → 1178

Calls

4 calls:

12.0ms	(/ v (- 1.0 m))
2.4s	(* (- (/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m))) 1.0) m)
39.0ms	(/ (/ v (- 1.0 m)) (sqrt m))
71.0ms	(/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ v (- 1.0 m))
64.0ms	(* (- (/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m))) 1.0) m)
126.0ms	(/ (/ v (- 1.0 m)) (sqrt m))
71.0ms	(/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m)))

simplify3.1s

Counts

1190 → 1190

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	1246	30376
1	2780	27339
done	5000	26916

prune2.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (pow m 2) v) m)
0.0b	(- (* 1.0 (- (/ (pow m 2) v) m)) (/ (pow m 3) v))
9.4b	(/ (pow m 3) v)
11.6b	(/ (pow m 2) v)

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

340×	`times-frac`
314×	`add-sqr-sqrt`
304×	`*-un-lft-identity`
302×	`add-cube-cbrt`
292×	`prod-diff`
172×	`associate--l+`
124×	`unpow-prod-down`
86×	`distribute-rgt-in` `distribute-lft-in`
42×	`sqr-pow`
35×	`unpow2`
29×	`fma-neg`
21×	`cube-prod`
20×	`associate-/l*`
14×	`add-exp-log`
13×	`div-inv`
8×	`add-cbrt-cube` `add-log-exp`
7×	`cube-mult` `unpow3`
6×	`div-exp` `associate-/r*`
5×	`difference-of-squares`
4×	`pow1` `expm1-log1p-u` `sub-neg` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `diff-log` `associate-*r/` `pow-exp` `clear-num` `frac-sub`
1×	`distribute-lft-out--`

Counts

4 → 479

Calls

4 calls:

65.0ms	(- (/ (pow m 2) v) m)
103.0ms	(- (* 1.0 (- (/ (pow m 2) v) m)) (/ (pow m 3) v))
10.0ms	(/ (pow m 3) v)
16.0ms	(/ (pow m 2) v)

series131.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (/ (pow m 2) v) m)
48.0ms	(- (* 1.0 (- (/ (pow m 2) v) m)) (/ (pow m 3) v))
24.0ms	(/ (pow m 3) v)
27.0ms	(/ (pow m 2) v)

simplify2.5s

Counts

491 → 491

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	498	10407
1	1074	7216
2	3027	6264
done	5001	6171

prune2.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	14	19
1	16	17
2	18	15
done	18	15

end2.0ms

sample1.6s

Algorithm

intervals

Results

720.0ms	13779×	body	80	valid
421.0ms	13779×	pre	80	true