Details

sample325.0ms

Algorithm

intervals

Results

10.0ms	440×	body	80	valid
6.0ms	440×	pre	80	true

simplify5.9s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

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)

rewrite163.0ms

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:

29.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
22.0ms	(* m (- 1.0 m))
22.0ms	(/ (* m (- 1.0 m)) v)
84.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series159.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
50.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.0s

Counts

151 → 151

Iterations

Useful iterations: done (1.0s)

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

prune239.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite257.0ms

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:

22.0ms	(* m (- 1.0 m))
11.0ms	(/ v (* m (- 1.0 m)))
192.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
25.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series188.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* m (- 1.0 m))
41.0ms	(/ v (* m (- 1.0 m)))
53.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
47.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify1.1s

Counts

176 → 176

Iterations

Useful iterations: done (1.1s)

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

prune280.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ 1 (* m (- 1.0 m)))
0.2b	(* (- (/ (/ 1 v) (/ 1 (* m (- 1.0 m)))) 1.0) m)
0.4b	(/ (/ 1 v) (/ 1 (* m (- 1.0 m))))

rewrite444.0ms

Algorithm

rewrite-expression-head

Rules

257×	`times-frac`
138×	`add-sqr-sqrt`
125×	`*-un-lft-identity`
120×	`add-cube-cbrt`
102×	`add-exp-log`
62×	`div-exp`
34×	`add-cbrt-cube`
32×	`associate-*r/`
31×	`associate-/r/`
26×	`div-inv`
18×	`prod-diff`
17×	`rec-exp` `flip3--` `1-exp` `prod-exp` `flip--`
16×	`associate-/l*`
15×	`cbrt-undiv`
11×	`pow1` `distribute-rgt-in` `distribute-lft-in` `associate-l`
10×	`associate-/r*`
8×	`associate-r`
5×	`cbrt-unprod` `difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`sub-neg` `pow-flip` `frac-2neg` `associate-l/` `clear-num` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`associate-/l/` `inv-pow`

Counts

4 → 292

Calls

4 calls:

22.0ms	(* m (- 1.0 m))
18.0ms	(/ 1 (* m (- 1.0 m)))
356.0ms	(* (- (/ (/ 1 v) (/ 1 (* m (- 1.0 m)))) 1.0) m)
32.0ms	(/ (/ 1 v) (/ 1 (* m (- 1.0 m))))

series177.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* m (- 1.0 m))
31.0ms	(/ 1 (* m (- 1.0 m)))
52.0ms	(* (- (/ (/ 1 v) (/ 1 (* m (- 1.0 m)))) 1.0) m)
46.0ms	(/ (/ 1 v) (/ 1 (* m (- 1.0 m))))

simplify1.4s

Counts

304 → 304

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	475	5698
1	1185	4514
2	2499	3860
done	5002	3751

prune367.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ m v) (- 1.0 m)) 1.0)
0.1b	(* (/ m v) (- 1.0 m))
0.2b	(* (sqrt m) (- (* (/ m v) (- 1.0 m)) 1.0))
0.4b	(* (* (sqrt m) (- (* (/ m v) (- 1.0 m)) 1.0)) (sqrt m))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

81×	`prod-diff`
79×	`add-sqr-sqrt`
71×	`distribute-rgt-in` `distribute-lft-in`
70×	`*-un-lft-identity`
68×	`add-cube-cbrt`
66×	`associate--l+`
20×	`associate-l`
16×	`add-exp-log` `add-cbrt-cube`
14×	`associate-r`
13×	`pow1`
11×	`sub-neg`
10×	`times-frac`
7×	`sqrt-prod`
6×	`associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`flip3--` `pow-prod-down` `flip--`
4×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
3×	`associate-l/` `-commutative`
2×	`frac-times`
1×	`cbrt-undiv` `fma-neg` `diff-log` `div-exp` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 207

Calls

4 calls:

21.0ms	(- (* (/ m v) (- 1.0 m)) 1.0)
30.0ms	(* (/ m v) (- 1.0 m))
71.0ms	(* (sqrt m) (- (* (/ m v) (- 1.0 m)) 1.0))
93.0ms	(* (* (sqrt m) (- (* (/ m v) (- 1.0 m)) 1.0)) (sqrt m))

series189.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (* (/ m v) (- 1.0 m)) 1.0)
39.0ms	(* (/ m v) (- 1.0 m))
75.0ms	(* (sqrt m) (- (* (/ m v) (- 1.0 m)) 1.0))
51.0ms	(* (* (sqrt m) (- (* (/ m v) (- 1.0 m)) 1.0)) (sqrt m))

simplify1.1s

Counts

219 → 219

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	330	4588
1	754	3678
2	2037	3111
done	5000	3082

prune368.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes70.0ms

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	10	13
1	14	13
done	14	13

end0.0ms

sample794.0ms

Algorithm

intervals

Results

316.0ms	13729×	body	80	valid
167.0ms	13729×	pre	80	true