Details

sample65.0ms

Algorithm

intervals

Results

40.0ms	231×	body	10240	exit
6.0ms	208×	body	80	valid
2.0ms	23×	body	320	valid
1.0ms	19×	body	160	valid
1.0ms	7×	body	640	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 5 (167.0ms)

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: 10.9b

localize8.0ms

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))
4.8b	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

rewrite157.0ms

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:

17.0ms	(- wj (/ x (exp wj)))
50.0ms	(/ (- wj (/ x (exp wj))) (+ 1 wj))
6.0ms	(/ x (exp wj))
70.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- wj (/ x (exp wj)))
38.0ms	(/ (- wj (/ x (exp wj))) (+ 1 wj))
31.0ms	(/ x (exp wj))
46.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

simplify2.2s

Counts

264 → 264

Iterations

Useful iterations: done (2.1s)

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

prune405.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize6.0ms

Local error

Found 1 expressions with local error:

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify1.4s

Counts

13 → 13

Iterations

Useful iterations: 4 (529.0ms)

Iter	Nodes	Cost
0	21	158
1	40	155
2	106	134
3	463	134
4	2765	108
done	5000	108

prune47.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma wj (fma -2 x wj) x)) (cbrt (fma wj (fma -2 x wj) x)))
0.6b	(cbrt (fma wj (fma -2 x wj) x))
0.6b	(cbrt (fma wj (fma -2 x wj) x))
0.6b	(cbrt (fma wj (fma -2 x wj) x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt (fma wj (fma -2 x wj) x)) (cbrt (fma wj (fma -2 x wj) x)))
1.0ms	(cbrt (fma wj (fma -2 x wj) x))
1.0ms	(cbrt (fma wj (fma -2 x wj) x))
1.0ms	(cbrt (fma wj (fma -2 x wj) x))

series653.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (cbrt (fma wj (fma -2 x wj) x)) (cbrt (fma wj (fma -2 x wj) x)))
162.0ms	(cbrt (fma wj (fma -2 x wj) x))
162.0ms	(cbrt (fma wj (fma -2 x wj) x))
158.0ms	(cbrt (fma wj (fma -2 x wj) x))

simplify2.0s

Counts

93 → 93

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	81	1516
1	165	1400
2	420	1276
3	1103	1111
4	3886	1097
done	5000	1093

prune238.0ms

Pruning

8 alts after pruning (7 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	(/ (/ x (exp wj)) (+ 1 wj))
0.0b	(/ wj (+ 1 wj))
7.9b	(- wj (/ wj (+ 1 wj)))

rewrite75.0ms

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:

6.0ms	(/ x (exp wj))
19.0ms	(/ (/ x (exp wj)) (+ 1 wj))
13.0ms	(/ wj (+ 1 wj))
27.0ms	(- wj (/ wj (+ 1 wj)))

series123.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ x (exp wj))
42.0ms	(/ (/ x (exp wj)) (+ 1 wj))
21.0ms	(/ wj (+ 1 wj))
31.0ms	(- wj (/ wj (+ 1 wj)))

simplify1.4s

Counts

238 → 238

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	370	5110
1	862	4525
2	2164	3611
done	5001	3145

prune395.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes38.0ms

Accuracy

82.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 1.1b

bsearch38.0ms

Steps

Iters	Range		Point
8	1.0880025577165871e-05	0.3201433979245282	0.00010403459478968982

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	60
1	35	60
done	35	60

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.3s	7541×	body	10240	exit
178.0ms	6326×	body	80	valid
67.0ms	781×	body	320	valid
60.0ms	437×	body	640	valid
31.0ms	543×	body	160	valid