Details

sample73.0ms

Algorithm

intervals

Results

46.0ms	231×	body	10240	exit
6.0ms	201×	body	80	valid
3.0ms	30×	body	320	valid
2.0ms	14×	body	640	valid
1.0ms	13×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 5 (166.0ms)

Iter	Nodes	Cost
0	8	16
1	21	15
2	52	15
3	111	15
4	206	14
5	686	12
6	2789	12
done	5001	12

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (exp wj))
0.0b	(/ (- wj (/ x (exp wj))) (+ 1 wj))
4.2b	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

177×	`add-sqr-sqrt`
173×	`*-un-lft-identity`
123×	`times-frac`
90×	`prod-diff`
87×	`add-cube-cbrt`
36×	`difference-of-squares`
25×	`distribute-lft-out`
18×	`distribute-lft-out--`
9×	`associate-/l*`
8×	`associate-/r/`
7×	`associate-/r*` `add-cbrt-cube`
6×	`add-exp-log`
5×	`div-inv` `add-log-exp`
4×	`flip3-+` `flip-+`
3×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 193

Calls

3 calls:

6.0ms	(/ x (exp wj))
47.0ms	(/ (- wj (/ x (exp wj))) (+ 1 wj))
67.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

series115.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ x (exp wj))
38.0ms	(/ (- wj (/ x (exp wj))) (+ 1 wj))
47.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

simplify1.3s

Counts

202 → 202

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	331	8699
1	824	7901
2	2232	5818
done	5001	4977

prune334.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

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

prune10.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (+ 1 wj))
0.0b	(* (cbrt (+ 1 wj)) (cbrt (+ 1 wj)))
0.0b	(/ (/ (- wj (/ x (exp wj))) (* (cbrt (+ 1 wj)) (cbrt (+ 1 wj)))) (cbrt (+ 1 wj)))
4.2b	(- wj (/ (/ (- wj (/ x (exp wj))) (* (cbrt (+ 1 wj)) (cbrt (+ 1 wj)))) (cbrt (+ 1 wj))))

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

713×	`times-frac`
575×	`*-un-lft-identity`
520×	`add-sqr-sqrt`
396×	`prod-diff`
370×	`cbrt-div`
353×	`add-cube-cbrt`
322×	`cbrt-prod`
240×	`associate-/r/`
185×	`flip3-+` `flip-+`
120×	`frac-times`
80×	`distribute-lft-out`
63×	`difference-of-squares`
60×	`associate-r/` `associate-l/`
33×	`div-inv`
30×	`distribute-lft-out--`
18×	`associate-/l*`
15×	`add-exp-log`
11×	`pow1`
9×	`swap-sqr`
8×	`add-cbrt-cube`
7×	`pow1/3` `associate-r` `associate-l` `associate-/r*`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `div-sub` `log1p-expm1-u` `unswap-sqr`
3×	`fma-neg`
2×	`pow-prod-down` `prod-exp` `pow-sqr` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `sub-neg` `flip3--` `frac-2neg` `pow-plus` `diff-log` `clear-num` `*-commutative` `flip--` `associate-/l/` `associate--r-`

Counts

4 → 664

Calls

4 calls:

4.0ms	(cbrt (+ 1 wj))
36.0ms	(* (cbrt (+ 1 wj)) (cbrt (+ 1 wj)))
67.0ms	(/ (/ (- wj (/ x (exp wj))) (* (cbrt (+ 1 wj)) (cbrt (+ 1 wj)))) (cbrt (+ 1 wj)))
125.0ms	(- wj (/ (/ (- wj (/ x (exp wj))) (* (cbrt (+ 1 wj)) (cbrt (+ 1 wj)))) (cbrt (+ 1 wj))))

series161.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt (+ 1 wj))
33.0ms	(* (cbrt (+ 1 wj)) (cbrt (+ 1 wj)))
45.0ms	(/ (/ (- wj (/ x (exp wj))) (* (cbrt (+ 1 wj)) (cbrt (+ 1 wj)))) (cbrt (+ 1 wj)))
47.0ms	(- wj (/ (/ (- wj (/ x (exp wj))) (* (cbrt (+ 1 wj)) (cbrt (+ 1 wj)))) (cbrt (+ 1 wj))))

simplify1.7s

Counts

676 → 676

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	1131	61711
1	2975	54657
done	5000	40519

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (exp wj))
0.0b	(/ (- wj (/ x (exp wj))) (+ wj 1))
4.2b	(- wj (* 1 (/ (- wj (/ x (exp wj))) (+ wj 1))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt` `*-un-lft-identity`
38×	`times-frac`
25×	`add-cube-cbrt`
10×	`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` `expm1-log1p-u` `fma-neg` `prod-diff` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `associate-/r/` `flip--` `div-inv` `associate-/l/`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `flip-+`

Counts

3 → 103

Calls

3 calls:

6.0ms	(/ x (exp wj))
49.0ms	(/ (- wj (/ x (exp wj))) (+ wj 1))
6.0ms	(- wj (* 1 (/ (- wj (/ x (exp wj))) (+ wj 1))))

series119.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ x (exp wj))
44.0ms	(/ (- wj (/ x (exp wj))) (+ wj 1))
48.0ms	(- wj (* 1 (/ (- wj (/ x (exp wj))) (+ wj 1))))

simplify2.6s

Counts

112 → 112

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	188	1782
1	439	1634
2	1082	1533
3	2833	1492
done	5001	1488

prune273.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

regimes67.0ms

Accuracy

0% (2.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	7	9
done	7	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.7s	7557×	body	10240	exit
234.0ms	6418×	body	80	valid
89.0ms	788×	body	320	valid
72.0ms	407×	body	640	valid
38.0ms	485×	body	160	valid