Details

sample122.0ms

Algorithm

intervals

Results

74.0ms	194×	body	10240	exit
12.0ms	188×	body	80	valid
7.0ms	34×	body	320	valid
4.0ms	13×	body	640	valid
3.0ms	21×	body	160	valid

simplify5.6s

Counts

1 → 1

Iterations

Useful iterations: 5 (724.0ms)

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.8b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (exp wj))
0.0b	(/ (- wj (/ x (exp wj))) (+ 1 wj))
5.8b	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

rewrite247.0ms

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:

12.0ms	(/ x (exp wj))
98.0ms	(/ (- wj (/ x (exp wj))) (+ 1 wj))
119.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ x (exp wj))
57.0ms	(/ (- wj (/ x (exp wj))) (+ 1 wj))
63.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

simplify2.1s

Counts

202 → 202

Iterations

Useful iterations: done (2.1s)

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

prune606.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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:

1.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify2.2s

Counts

13 → 13

Iterations

Useful iterations: 4 (886.0ms)

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

prune42.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

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))

rewrite22.0ms

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:

12.0ms	(* (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))
6.0ms	(cbrt (fma wj (fma -2 x wj) x))

series1.0s

Counts

4 → 12

Calls

4 calls:

254.0ms	(* (cbrt (fma wj (fma -2 x wj) x)) (cbrt (fma wj (fma -2 x wj) x)))
267.0ms	(cbrt (fma wj (fma -2 x wj) x))
220.0ms	(cbrt (fma wj (fma -2 x wj) x))
259.0ms	(cbrt (fma wj (fma -2 x wj) x))

simplify3.3s

Counts

93 → 93

Iterations

Useful iterations: done (3.3s)

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

prune354.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

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))
6.9b	(- wj (/ wj (+ 1 wj)))

rewrite137.0ms

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:

14.0ms	(/ x (exp wj))
31.0ms	(/ (/ x (exp wj)) (+ 1 wj))
18.0ms	(/ wj (+ 1 wj))
52.0ms	(- wj (/ wj (+ 1 wj)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ x (exp wj))
79.0ms	(/ (/ x (exp wj)) (+ 1 wj))
47.0ms	(/ wj (+ 1 wj))
46.0ms	(- 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	2164	3611
done	5001	3145

prune613.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	19
1	18	19
done	18	19

end0.0ms

sample6.7s

Algorithm

intervals

Results

5.2s	7610×	body	10240	exit
498.0ms	6268×	body	80	valid
147.0ms	819×	body	320	valid
120.0ms	443×	body	640	valid
64.0ms	543×	body	160	valid