Details

sample110.0ms

Algorithm

intervals

Results

16.0ms	458×	body	80	valid
9.0ms	458×	pre	80	true

simplify9.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite247.0ms

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:

46.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
40.0ms	(* m (- 1.0 m))
24.0ms	(/ (* m (- 1.0 m)) v)
131.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series201.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
73.0ms	(* m (- 1.0 m))
49.0ms	(/ (* m (- 1.0 m)) v)
54.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.7s

Counts

151 → 151

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	223	2378
1	489	1926
2	1285	1632
done	5000	1544

prune407.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite680.0ms

Algorithm

rewrite-expression-head

Rules

561×	`times-frac`
443×	`add-sqr-sqrt`
427×	`*-un-lft-identity`
327×	`add-cube-cbrt`
204×	`prod-diff`
68×	`fma-neg`
54×	`difference-of-squares`
50×	`distribute-lft-out--`
37×	`associate-/r/`
21×	`associate-/r*` `div-inv`
18×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
5×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-r` `log1p-expm1-u` `associate-/l*`
2×	`associate-*l/`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 420

Calls

3 calls:

217.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
18.0ms	(/ m (/ v (- 1.0 m)))
394.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series155.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
71.0ms	(/ m (/ v (- 1.0 m)))
50.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify2.8s

Counts

429 → 429

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	457	10446
1	1016	8189
2	3013	7369
done	5001	7069

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))))

rewrite374.0ms

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:

40.0ms	(* m (- 1.0 m))
21.0ms	(/ v (* m (- 1.0 m)))
260.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
46.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series285.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* m (- 1.0 m))
60.0ms	(/ v (* m (- 1.0 m)))
63.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
76.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify1.8s

Counts

176 → 176

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	281	2584
1	598	2223
2	1550	1860
done	5000	1789

prune519.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ v (- (sqrt 1.0) (sqrt m)))
0.1b	(/ m (/ v (- (sqrt 1.0) (sqrt m))))
0.1b	(* (+ (sqrt 1.0) (sqrt m)) (/ m (/ v (- (sqrt 1.0) (sqrt m)))))
0.2b	(* (+ (- (* (+ (sqrt 1.0) (sqrt m)) (/ m (/ v (- (sqrt 1.0) (sqrt m))))) 1.0) (+ (- 1.0) 1.0)) m)

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

417×	`times-frac`
391×	`add-sqr-sqrt`
292×	`*-un-lft-identity`
180×	`add-cube-cbrt`
152×	`sqrt-prod`
107×	`associate-r`
100×	`difference-of-squares`
50×	`distribute-lft-out--`
42×	`associate-/r*`
22×	`add-exp-log` `add-cbrt-cube`
18×	`associate-/r/`
11×	`associate-l`
10×	`flip3--` `flip--` `div-inv`
8×	`pow1` `associate-*l/`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out`
6×	`associate-/l*`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-add` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-times` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`distribute-rgt-neg-in` `associate-*r/`

Counts

4 → 370

Calls

4 calls:

38.0ms	(/ v (- (sqrt 1.0) (sqrt m)))
51.0ms	(/ m (/ v (- (sqrt 1.0) (sqrt m))))
163.0ms	(* (+ (sqrt 1.0) (sqrt m)) (/ m (/ v (- (sqrt 1.0) (sqrt m)))))
1.1s	(* (+ (- (* (+ (sqrt 1.0) (sqrt m)) (/ m (/ v (- (sqrt 1.0) (sqrt m))))) 1.0) (+ (- 1.0) 1.0)) m)

series1.0s

Counts

4 → 12

Calls

4 calls:

278.0ms	(/ v (- (sqrt 1.0) (sqrt m)))
137.0ms	(/ m (/ v (- (sqrt 1.0) (sqrt m))))
416.0ms	(* (+ (sqrt 1.0) (sqrt m)) (/ m (/ v (- (sqrt 1.0) (sqrt m)))))
171.0ms	(* (+ (- (* (+ (sqrt 1.0) (sqrt m)) (/ m (/ v (- (sqrt 1.0) (sqrt m))))) 1.0) (+ (- 1.0) 1.0)) m)

simplify1.0s

Counts

382 → 382

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	503	7982
1	1328	7312
done	5001	6459

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes104.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	9	11
done	9	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

776.0ms	13849×	body	80	valid
671.0ms	13849×	pre	80	true