Details

sample130.0ms

Algorithm

intervals

Results

78.0ms	236×	body	10240	exit
10.0ms	195×	body	80	valid
6.0ms	34×	body	320	valid
4.0ms	14×	body	640	valid
2.0ms	16×	body	160	valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 5 (244.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- wj (/ x (exp wj))) (+ 1 wj))
0.2b	(/ x (exp wj))
6.1b	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

rewrite218.0ms

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:

85.0ms	(/ (- wj (/ x (exp wj))) (+ 1 wj))
7.0ms	(/ x (exp wj))
112.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

series138.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- wj (/ x (exp wj))) (+ 1 wj))
34.0ms	(/ x (exp wj))
58.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

simplify2.0s

Counts

202 → 202

Iterations

Useful iterations: done (2.0s)

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

prune463.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (* wj x) -2 (fma wj wj x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (* wj x) -2 (fma wj wj x))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(fma (* wj x) -2 (fma wj wj x))

simplify2.6s

Counts

13 → 13

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	21	158
1	40	155
2	106	134
3	457	134
4	2765	108
done	5000	108

prune67.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ 1 wj))
0.0b	(/ (/ x (exp wj)) (+ 1 wj))
0.2b	(/ x (exp wj))
5.5b	(- wj (/ wj (+ 1 wj)))

rewrite88.0ms

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:

11.0ms	(/ wj (+ 1 wj))
23.0ms	(/ (/ x (exp wj)) (+ 1 wj))
7.0ms	(/ x (exp wj))
28.0ms	(- wj (/ wj (+ 1 wj)))

series142.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ wj (+ 1 wj))
51.0ms	(/ (/ x (exp wj)) (+ 1 wj))
32.0ms	(/ x (exp wj))
35.0ms	(- wj (/ wj (+ 1 wj)))

simplify2.3s

Counts

238 → 238

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	370	5110
1	862	4525
2	2171	3611
done	5000	3145

prune736.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)) (+ 1 wj))
0.2b	(/ x (exp wj))

rewrite72.0ms

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))
13.0ms	(- (fma wj wj (pow wj 4)) (pow wj 3))
35.0ms	(/ (/ x (exp wj)) (+ 1 wj))
11.0ms	(/ x (exp wj))

series257.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(fma wj wj (pow wj 4))
41.0ms	(- (fma wj wj (pow wj 4)) (pow wj 3))
62.0ms	(/ (/ x (exp wj)) (+ 1 wj))
42.0ms	(/ x (exp wj))

simplify2.0s

Counts

198 → 198

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	305	3851
1	671	3147
2	1791	2776
done	5000	2454

prune688.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

regimes45.0ms

Accuracy

34.3% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.1b

bsearch59.0ms

Steps

Iters	Range		Point
7	9.104077427347524e-22	7.510757351113632e-20	7.377123706691067e-20

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	48
1	30	48
done	30	48

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.1s	7507×	body	10240	exit
292.0ms	6302×	body	80	valid
114.0ms	467×	body	640	valid
109.0ms	777×	body	320	valid
56.0ms	544×	body	160	valid