Details

sample69.0ms

Algorithm

intervals

Results

44.0ms	232×	body	10240	exit
6.0ms	191×	body	80	valid
2.0ms	26×	body	320	valid
2.0ms	15×	body	640	valid
2.0ms	27×	body	160	valid

simplify6.5s

Counts

1 → 1

Iterations

Useful iterations: 5 (95.0ms)

Iter	Nodes	Cost
0	8	16
1	21	15
2	52	15
3	113	15
4	251	14
5	991	12
6	4431	12
done	5000	12

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (exp wj))
0.0b	(/ (- wj (/ x (exp wj))) (+ 1 wj))
7.2b	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

rewrite88.0ms

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:

3.0ms	(/ x (exp wj))
29.0ms	(/ (- wj (/ x (exp wj))) (+ 1 wj))
45.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

series109.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ x (exp wj))
36.0ms	(/ (- wj (/ x (exp wj))) (+ 1 wj))
48.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

simplify1.6s

Counts

202 → 202

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	331	8699
1	854	7901
2	3121	5817
done	5000	5805

prune377.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2 (* wj x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

6.0ms

(* 2 (* wj x))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(* 2 (* wj x))

simplify3.8s

Counts

23 → 23

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	37	166
1	89	157
2	290	133
3	944	133
4	1934	133
5	4554	133
done	5000	133

prune61.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (exp wj))
0.0b	(/ wj (+ 1 wj))
0.0b	(/ (/ x (exp wj)) (+ 1 wj))
7.5b	(- wj (/ wj (+ 1 wj)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

169×	`*-un-lft-identity`
155×	`times-frac`
118×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
54×	`prod-diff`
27×	`distribute-lft-out`
19×	`associate-/l*`
13×	`add-cbrt-cube`
11×	`add-exp-log` `associate-/r*` `div-inv`
10×	`associate-/r/`
6×	`add-log-exp`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `clear-num`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 226

Calls

4 calls:

3.0ms	(/ x (exp wj))
5.0ms	(/ wj (+ 1 wj))
10.0ms	(/ (/ x (exp wj)) (+ 1 wj))
16.0ms	(- wj (/ wj (+ 1 wj)))

series119.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ x (exp wj))
21.0ms	(/ wj (+ 1 wj))
40.0ms	(/ (/ x (exp wj)) (+ 1 wj))
30.0ms	(- wj (/ wj (+ 1 wj)))

simplify1.9s

Counts

238 → 238

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	370	5110
1	901	4525
2	3672	3610
done	5001	3601

prune487.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma wj wj (pow wj 4))
0.0b	(- (fma wj wj (pow wj 4)) (pow wj 3))
0.0b	(/ x (exp wj))
0.0b	(/ (/ x (exp wj)) (+ 1 wj))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

113×	`*-un-lft-identity`
106×	`times-frac`
90×	`add-sqr-sqrt`
83×	`add-cube-cbrt`
36×	`prod-diff`
16×	`associate-/l*`
14×	`distribute-lft-out`
11×	`add-cbrt-cube`
10×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log`
7×	`associate-/r*` `div-inv`
6×	`add-log-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `difference-of-squares` `sqr-pow`
3×	`cube-mult` `fma-neg` `unpow3`
2×	`frac-2neg` `clear-num` `associate-/r/` `fma-udef`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `associate--l+` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`

Counts

4 → 186

Calls

4 calls:

0.0ms	(fma wj wj (pow wj 4))
10.0ms	(- (fma wj wj (pow wj 4)) (pow wj 3))
3.0ms	(/ x (exp wj))
10.0ms	(/ (/ x (exp wj)) (+ 1 wj))

series177.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(fma wj wj (pow wj 4))
33.0ms	(- (fma wj wj (pow wj 4)) (pow wj 3))
25.0ms	(/ x (exp wj))
40.0ms	(/ (/ x (exp wj)) (+ 1 wj))

simplify1.4s

Counts

198 → 198

Iterations

Useful iterations: 2 (266.0ms)

Iter	Nodes	Cost
0	305	3851
1	704	3147
2	2814	2775
done	5000	2775

prune500.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes59.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	28
1	20	28
done	20	28

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.4s	7617×	body	10240	exit
198.0ms	6282×	body	80	valid
71.0ms	485×	body	640	valid
70.0ms	750×	body	320	valid
34.0ms	550×	body	160	valid