Details

sample77.0ms

Algorithm

intervals

Results

49.0ms	276×	body	10240	exit
6.0ms	198×	body	80	valid
3.0ms	19×	body	640	valid
2.0ms	20×	body	320	valid
1.0ms	21×	body	160	valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 5 (149.0ms)

Iter	Nodes	Cost
0	8	16
1	21	15
2	52	15
3	111	15
4	202	14
5	693	12
6	2634	12
done	5000	12

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.2b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite89.0ms

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))
28.0ms	(/ (- wj (/ x (exp wj))) (+ 1 wj))
47.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

series111.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ x (exp wj))
35.0ms	(/ (- wj (/ x (exp wj))) (+ 1 wj))
48.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

simplify1.2s

Counts

202 → 202

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	331	8699
1	834	7901
2	2310	5997
done	5001	5985

prune391.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`fma-neg` `associate-l` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `associate--l+` `*-commutative` `flip--` `fma-udef`

Counts

2 → 41

Calls

2 calls:

3.0ms	(- (fma wj wj x) (* 2 (* wj x)))
6.0ms	(* 2 (* wj x))

series48.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(- (fma wj wj x) (* 2 (* wj x)))
20.0ms	(* 2 (* wj x))

simplify2.1s

Counts

47 → 47

Iterations

Useful iterations: 3 (848.0ms)

Iter	Nodes	Cost
0	76	542
1	187	504
2	645	424
3	3211	383
done	5000	383

prune104.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma -2 (* wj x) (pow (cbrt (fma wj wj x)) 3))
0.6b	(cbrt (fma wj wj x))
0.8b	(pow (cbrt (fma wj wj x)) 3)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log`
3×	`expm1-log1p-u` `pow-unpow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-pow` `pow1/3`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `fma-udef` `rem-cube-cbrt` `sqr-pow`

Counts

3 → 55

Calls

3 calls:

0.0ms	(fma -2 (* wj x) (pow (cbrt (fma wj wj x)) 3))
0.0ms	(cbrt (fma wj wj x))
2.0ms	(pow (cbrt (fma wj wj x)) 3)

series214.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(fma -2 (* wj x) (pow (cbrt (fma wj wj x)) 3))
82.0ms	(cbrt (fma wj wj x))
68.0ms	(pow (cbrt (fma wj wj x)) 3)

simplify2.0s

Counts

64 → 64

Iterations

Useful iterations: 3 (563.0ms)

Iter	Nodes	Cost
0	79	721
1	178	551
2	522	489
3	2883	486
done	5001	486

prune147.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ 1 wj))
0.0b	(/ x (exp wj))
0.0b	(/ (/ x (exp wj)) (+ 1 wj))
6.5b	(- wj (/ wj (+ 1 wj)))

rewrite48.0ms

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:

5.0ms	(/ wj (+ 1 wj))
3.0ms	(/ x (exp wj))
10.0ms	(/ (/ x (exp wj)) (+ 1 wj))
17.0ms	(- wj (/ wj (+ 1 wj)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ wj (+ 1 wj))
28.0ms	(/ x (exp wj))
39.0ms	(/ (/ x (exp wj)) (+ 1 wj))
26.0ms	(- wj (/ wj (+ 1 wj)))

simplify1.5s

Counts

238 → 238

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	370	5110
1	875	4525
2	2375	3682
done	5001	3673

prune489.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes78.0ms

Accuracy

81% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 1.2b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	54
1	32	54
done	32	54

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.5s	7788×	body	10240	exit
193.0ms	6281×	body	80	valid
78.0ms	498×	body	640	valid
75.0ms	771×	body	320	valid
32.0ms	530×	body	160	valid