Details

sample183.0ms

Algorithm

intervals

Results

128.0ms	271×	body	10240	exit
15.0ms	213×	body	80	valid
5.0ms	23×	body	320	valid
2.0ms	8×	body	640	valid
2.0ms	14×	body	160	valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 5 (286.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- wj (/ x (exp wj)))
0.0b	(/ (- wj (/ x (exp wj))) (+ 1 wj))
0.0b	(/ x (exp wj))
4.5b	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 252

Calls

4 calls:

16.0ms	(- wj (/ x (exp wj)))
69.0ms	(/ (- wj (/ x (exp wj))) (+ 1 wj))
7.0ms	(/ x (exp wj))
100.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

series222.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- wj (/ x (exp wj)))
46.0ms	(/ (- wj (/ x (exp wj))) (+ 1 wj))
55.0ms	(/ x (exp wj))
58.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

simplify3.5s

Counts

264 → 264

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	430	10677
1	1075	9608
2	2966	6992
done	5000	5844

prune648.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune20.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ 1 wj))
0.0b	(/ (/ x (exp wj)) (+ 1 wj))
0.0b	(/ x (exp wj))
7.8b	(- wj (/ wj (+ 1 wj)))

rewrite143.0ms

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:

15.0ms	(/ wj (+ 1 wj))
25.0ms	(/ (/ x (exp wj)) (+ 1 wj))
22.0ms	(/ x (exp wj))
57.0ms	(- wj (/ wj (+ 1 wj)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ wj (+ 1 wj))
56.0ms	(/ (/ x (exp wj)) (+ 1 wj))
29.0ms	(/ x (exp wj))
35.0ms	(- wj (/ wj (+ 1 wj)))

simplify2.4s

Counts

238 → 238

Iterations

Useful iterations: done (2.3s)

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

prune671.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

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))
21.0ms	(/ (/ x (exp wj)) (+ 1 wj))
21.0ms	(- (fma wj wj (pow wj 4)) (pow wj 3))
14.0ms	(/ x (exp wj))

series245.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(fma wj wj (pow wj 4))
71.0ms	(/ (/ x (exp wj)) (+ 1 wj))
36.0ms	(- (fma wj wj (pow wj 4)) (pow wj 3))
47.0ms	(/ x (exp wj))

simplify2.1s

Counts

198 → 198

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	305	3851
1	671	3147
2	1794	2776
done	5000	2454

prune811.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes89.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	20
1	20	20
done	20	20

end0.0ms

sample6.4s

Algorithm

intervals

Results

5.0s	7537×	body	10240	exit
421.0ms	6261×	body	80	valid
169.0ms	459×	body	640	valid
158.0ms	762×	body	320	valid
75.0ms	592×	body	160	valid