Details

sample54.0ms

Algorithm

intervals

Results

12.0ms	189×	body	80	valid
6.0ms	133×	body	80	nan
6.0ms	28×	body	640	valid
5.0ms	18×	body	1280	valid
3.0ms	13×	body	1280	nan
3.0ms	15×	body	320	valid
1.0ms	7×	body	640	nan
1.0ms	6×	body	160	valid
0.0ms	3×	body	320	nan
0.0ms	1×	body	160	nan

simplify141.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	19	12
2	29	12
3	41	12
4	54	12
5	62	12
6	70	12
7	85	12
8	103	12
9	116	12
done	116	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.6b

localize296.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
2.2b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.8b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
28×	`times-frac`
19×	`difference-of-squares`
18×	`add-cube-cbrt`
17×	`distribute-lft-out--`
12×	`log-prod`
7×	`add-exp-log` `add-log-exp`
6×	`pow1` `flip3--` `add-cbrt-cube` `flip--` `associate--r+`
5×	`associate-/r` `associate-/l`
4×	`log-div`
3×	`associate--r-`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `log-pow` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `div-inv`

Counts

4 → 108

Calls

4 calls:

39.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
22.0ms	(/ (- x y) (- 1.0 y))
47.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
51.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series348.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
63.0ms	(/ (- x y) (- 1.0 y))
72.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
98.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.7s

Counts

120 → 120

Iterations

Useful iterations: 3 (824.0ms)

Iter	Nodes	Cost
0	205	1894
1	489	1792
2	1226	1680
3	3267	1671
done	5000	1671

prune353.0ms

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	(- 1.0 (log (- 1.0 (* (- x y) (/ 1 (- 1.0 y))))))
0.1b	(* (- x y) (/ 1 (- 1.0 y)))
2.8b	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
3.9b	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
21×	`associate-r`
17×	`times-frac`
16×	`add-cube-cbrt`
14×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1`
7×	`flip3--` `flip--` `add-log-exp`
6×	`log-prod` `distribute-lft-out--`
5×	`associate-l` `difference-of-squares`
4×	`log-div` `prod-exp`
3×	`associate--r+` `unswap-sqr`
2×	`frac-times` `sub-neg` `diff-log` `div-exp` `associate-*l/` `associate-/r/` `log-pow` `cbrt-unprod` `associate--r-`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `rem-log-exp` `pow-prod-down` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 96

Calls

4 calls:

9.0ms	(- 1.0 (log (- 1.0 (* (- x y) (/ 1 (- 1.0 y))))))
45.0ms	(* (- x y) (/ 1 (- 1.0 y)))
8.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
6.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series345.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(- 1.0 (log (- 1.0 (* (- x y) (/ 1 (- 1.0 y))))))
56.0ms	(* (- x y) (/ 1 (- 1.0 y)))
105.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
58.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify2.6s

Counts

108 → 108

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	212	1817
1	509	1465
2	1476	1319
3	4889	1311
done	5000	1311

prune291.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
0.2b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
2.2b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
69×	`times-frac`
37×	`add-cube-cbrt`
28×	`difference-of-squares`
24×	`log-prod`
20×	`distribute-lft-out--`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`add-cbrt-cube` `associate-/l*`
6×	`associate-/r/` `add-log-exp`
5×	`pow1` `flip3--` `flip--`
3×	`div-exp` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-sub` `rem-log-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `log-div` `diff-log` `log-pow` `associate--r-`

Counts

4 → 144

Calls

4 calls:

34.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
22.0ms	(/ (- x y) (- 1.0 y))
80.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
31.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series449.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
55.0ms	(/ (- x y) (- 1.0 y))
168.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
59.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify2.5s

Counts

156 → 156

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	267	2917
1	622	2789
2	1546	2647
3	4000	2594
done	5000	2594

prune577.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (sqrt (exp 1.0))) (log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))))
0.0b	(log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.1b	(/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))
2.2b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

165×	`add-sqr-sqrt`
128×	`times-frac`
109×	`*-un-lft-identity`
90×	`log-prod`
65×	`add-cube-cbrt`
60×	`sqrt-prod`
42×	`associate-+r+`
40×	`difference-of-squares`
20×	`distribute-lft-out--`
9×	`pow1` `add-exp-log`
6×	`associate-+l+` `associate-/r` `associate-/r/` `add-cbrt-cube` `associate-/l` `add-log-exp`
5×	`log-pow`
4×	`flip3--` `flip--` `distribute-lft-out`
3×	`div-inv`
2×	`log-div` `div-exp` `rem-log-exp`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `clear-num` `sum-log` `flip-+` `associate--r-`

Counts

4 → 195

Calls

4 calls:

68.0ms	(+ (log (sqrt (exp 1.0))) (log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))))
43.0ms	(log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y)))))
99.0ms	(/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))
61.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series857.0ms

Counts

4 → 12

Calls

4 calls:

362.0ms	(+ (log (sqrt (exp 1.0))) (log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))))
232.0ms	(log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y)))))
200.0ms	(/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))
62.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify1.1s

Counts

207 → 207

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	292	4984
1	641	4700
2	1546	4479
done	5000	4300

prune750.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes199.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 18.9b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	40
1	25	40
done	25	40

end0.0ms

sample2.5s

Algorithm

intervals

Results

666.0ms	870×	body	1280	valid
458.0ms	5631×	body	80	valid
345.0ms	796×	body	640	valid
225.0ms	3620×	body	80	nan
107.0ms	363×	body	1280	nan
92.0ms	455×	body	320	valid
81.0ms	366×	body	640	nan
63.0ms	248×	body	160	valid
36.0ms	224×	body	320	nan
15.0ms	139×	body	160	nan