Details

sample193.0ms

Algorithm

intervals

Results

144.0ms	269×	body	10240	exit
17.0ms	210×	body	80	valid
4.0ms	20×	body	320	valid
3.0ms	10×	body	640	valid
3.0ms	21×	body	160	valid

simplify4.6s

Counts

1 → 1

Iterations

Useful iterations: 5 (264.0ms)

Iter	Nodes	Cost
0	8	16
1	20	15
2	48	15
3	105	15
4	190	14
5	621	12
6	2585	12
done	5001	12

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- wj (/ x (exp wj))) (+ wj 1))
0.0b	(/ x (exp wj))
5.4b	(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
39×	`times-frac`
23×	`add-cube-cbrt`
12×	`difference-of-squares`
9×	`associate-/l*`
7×	`associate-/r*` `add-cbrt-cube` `distribute-lft-out`
6×	`add-exp-log` `distribute-lft-out--`
5×	`add-log-exp`
3×	`pow1`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `associate-/r/` `flip--` `div-inv` `associate-/l/`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+` `associate--r-`

Counts

3 → 94

Calls

3 calls:

58.0ms	(/ (- wj (/ x (exp wj))) (+ wj 1))
8.0ms	(/ x (exp wj))
97.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ (- wj (/ x (exp wj))) (+ wj 1))
54.0ms	(/ x (exp wj))
78.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

simplify2.0s

Counts

103 → 103

Iterations

Useful iterations: 3 (852.0ms)

Iter	Nodes	Cost
0	174	1576
1	409	1496
2	960	1436
3	2267	1431
done	5000	1431

prune397.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune11.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- wj (/ (/ x (sqrt (exp wj))) (sqrt (exp wj)))) (+ wj 1))
0.0b	(/ x (sqrt (exp wj)))
0.0b	(/ (/ x (sqrt (exp wj))) (sqrt (exp wj)))
5.4b	(- wj (/ (- wj (/ (/ x (sqrt (exp wj))) (sqrt (exp wj)))) (+ wj 1)))

rewrite620.0ms

Algorithm

rewrite-expression-head

Rules

371×	`times-frac`
298×	`add-sqr-sqrt`
209×	`*-un-lft-identity`
173×	`add-cube-cbrt`
169×	`sqrt-prod`
37×	`difference-of-squares`
36×	`associate-/l*`
16×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-lft-out`
10×	`div-inv`
6×	`distribute-lft-out--` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `associate-/l/`
2×	`flip3--` `div-sub` `associate-/r/` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+` `associate--r-`

Counts

4 → 306

Calls

4 calls:

242.0ms	(/ (- wj (/ (/ x (sqrt (exp wj))) (sqrt (exp wj)))) (+ wj 1))
14.0ms	(/ x (sqrt (exp wj)))
22.0ms	(/ (/ x (sqrt (exp wj))) (sqrt (exp wj)))
308.0ms	(- wj (/ (- wj (/ (/ x (sqrt (exp wj))) (sqrt (exp wj)))) (+ wj 1)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ (- wj (/ (/ x (sqrt (exp wj))) (sqrt (exp wj)))) (+ wj 1))
57.0ms	(/ x (sqrt (exp wj)))
57.0ms	(/ (/ x (sqrt (exp wj))) (sqrt (exp wj)))
67.0ms	(- wj (/ (- wj (/ (/ x (sqrt (exp wj))) (sqrt (exp wj)))) (+ wj 1)))

simplify3.4s

Counts

318 → 318

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	384	6887
1	880	5749
2	1878	5223
3	4809	5119
done	5002	5068

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (exp wj))
0.3b	(* (sqrt (- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))) (sqrt (- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))))
5.4b	(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))
5.4b	(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

rewrite860.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
34×	`sqrt-prod`
20×	`add-cube-cbrt`
19×	`pow1`
15×	`times-frac`
13×	`swap-sqr`
12×	`sqrt-div` `difference-of-squares`
9×	`associate-r` `associate-l`
8×	`flip3--` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp`
7×	`add-exp-log`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `associate-/r` `pow-sqr` `associate-/l`
2×	`sub-neg` `diff-log` `div-sub` `associate-r/` `associate-l/` `associate--r-`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `sqrt-unprod` `div-exp` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 127

Calls

4 calls:

13.0ms	(/ x (exp wj))
676.0ms	(* (sqrt (- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))) (sqrt (- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))))
81.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))
79.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ x (exp wj))
76.0ms	(* (sqrt (- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))) (sqrt (- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))))
91.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))
75.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

simplify1.7s

Counts

139 → 139

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	169	3492
1	315	2536
2	762	2348
3	1884	2271
done	5002	2214

prune488.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

regimes86.0ms

Accuracy

62% (0.8b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 2.3b

bsearch48.0ms

Steps

Iters	Range		Point
6	1.2374180015220204e-09	1.8107251634373757e-08	8.133938014656618e-09

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	30
1	25	30
done	25	30

end0.0ms

sample6.4s

Algorithm

intervals

Results

5.0s	7481×	body	10240	exit
422.0ms	6291×	body	80	valid
226.0ms	786×	body	320	valid
172.0ms	468×	body	640	valid
65.0ms	534×	body	160	valid