Details

sample170.0ms

Algorithm

intervals

Results

125.0ms	268×	body	10240	exit
12.0ms	208×	body	80	valid
4.0ms	25×	body	320	valid
3.0ms	13×	body	640	valid
2.0ms	15×	body	160	valid

simplify638.0ms

Counts

1 → 1

Iterations

Useful iterations: done (638.0ms)

Iter	Nodes	Cost
0	8	16
1	21	15
2	52	15
3	115	15
4	419	15
done	5000	14

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (exp wj))
0.0b	(/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj))
4.2b	(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj)))

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

421×	`add-sqr-sqrt`
355×	`*-un-lft-identity`
339×	`times-frac`
150×	`prod-diff`
127×	`add-cube-cbrt`
104×	`difference-of-squares`
45×	`distribute-lft-out`
35×	`distribute-lft-out--`
14×	`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` `associate-/l/`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `frac-sub` `associate--r-`

Counts

3 → 279

Calls

3 calls:

14.0ms	(/ x (exp wj))
140.0ms	(/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj))
196.0ms	(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ x (exp wj))
51.0ms	(/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj))
67.0ms	(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj)))

simplify917.0ms

Counts

288 → 288

Iterations

Useful iterations: done (895.0ms)

Iter	Nodes	Cost
0	480	16383
1	1291	13214
done	5001	10576

prune695.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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:

33.0ms	(* 2 (* wj x))
8.0ms	(- (fma wj wj x) (* 2 (* wj x)))

series76.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* 2 (* wj x))
43.0ms	(- (fma wj wj x) (* 2 (* wj x)))

simplify884.0ms

Counts

47 → 47

Iterations

Useful iterations: done (881.0ms)

Iter	Nodes	Cost
0	76	542
1	188	504
2	897	426
done	5001	383

prune181.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* wj x) -2 (pow (cbrt (fma wj wj x)) 3))
0.6b	(cbrt (fma wj wj x))
0.7b	(pow (cbrt (fma wj wj x)) 3)

rewrite13.0ms

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:

1.0ms	(fma (* wj x) -2 (pow (cbrt (fma wj wj x)) 3))
2.0ms	(cbrt (fma wj wj x))
8.0ms	(pow (cbrt (fma wj wj x)) 3)

series326.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(fma (* wj x) -2 (pow (cbrt (fma wj wj x)) 3))
138.0ms	(cbrt (fma wj wj x))
102.0ms	(pow (cbrt (fma wj wj x)) 3)

simplify1.4s

Counts

64 → 64

Iterations

Useful iterations: 2 (211.0ms)

Iter	Nodes	Cost
0	79	721
1	218	557
2	946	486
done	5002	486

prune253.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

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))
4.1b	(- wj (/ wj (+ 1 wj)))

rewrite128.0ms

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:

9.0ms	(/ x (exp wj))
21.0ms	(/ (/ x (exp wj)) (+ 1 wj))
17.0ms	(/ wj (+ 1 wj))
55.0ms	(- wj (/ wj (+ 1 wj)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ x (exp wj))
78.0ms	(/ (/ x (exp wj)) (+ 1 wj))
41.0ms	(/ wj (+ 1 wj))
48.0ms	(- wj (/ wj (+ 1 wj)))

simplify2.9s

Counts

238 → 238

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	370	5110
1	953	4548
2	4395	3676
done	5000	3674

prune846.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes78.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample6.9s

Algorithm

intervals

Results

5.4s	7747×	body	10240	exit
382.0ms	6311×	body	80	valid
233.0ms	791×	body	320	valid
129.0ms	456×	body	640	valid
63.0ms	529×	body	160	valid