Details

sample186.0ms

Algorithm

intervals

Results

95.0ms	266×	body	10240	exit
48.0ms	41×	body	320	valid
11.0ms	186×	body	80	valid
3.0ms	13×	body	640	valid
2.0ms	18×	body	160	valid

simplify577.0ms

Counts

1 → 1

Iterations

Useful iterations: done (577.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ wj 1) (/ x (exp wj)))
0.0b	(/ x (exp wj))
0.0b	(/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj))
4.4b	(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj)))

rewrite510.0ms

Algorithm

rewrite-expression-head

Rules

628×	`add-sqr-sqrt`
591×	`times-frac`
553×	`*-un-lft-identity`
319×	`prod-diff`
317×	`add-cube-cbrt`
110×	`difference-of-squares`
45×	`distribute-lft-out`
37×	`distribute-lft-out--`
32×	`div-inv`
16×	`fma-neg`
14×	`associate-/l*`
8×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
7×	`add-exp-log` `associate-/r*`
4×	`pow1` `expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`flip3--` `flip--` `associate-/l/`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `frac-sub`
1×	`associate--r-`

Counts

4 → 484

Calls

4 calls:

70.0ms	(- (/ wj 1) (/ x (exp wj)))
7.0ms	(/ x (exp wj))
137.0ms	(/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj))
238.0ms	(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (/ wj 1) (/ x (exp wj)))
55.0ms	(/ x (exp wj))
69.0ms	(/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj))
89.0ms	(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj)))

simplify1.4s

Counts

496 → 496

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	730	25305
1	1896	20056
done	5001	15575

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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:

14.0ms	(- (fma wj wj x) (* 2 (* wj x)))
24.0ms	(* 2 (* wj x))

series77.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(- (fma wj wj x) (* 2 (* wj x)))
29.0ms	(* 2 (* wj x))

simplify983.0ms

Counts

47 → 47

Iterations

Useful iterations: done (981.0ms)

Iter	Nodes	Cost
0	76	542
1	189	504
2	889	426
done	5001	383

prune193.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (exp wj))
0.0b	(/ wj (+ 1 wj))
0.0b	(/ (/ x (exp wj)) (+ 1 wj))
6.1b	(- wj (/ wj (+ 1 wj)))

rewrite132.0ms

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:

16.0ms	(/ x (exp wj))
15.0ms	(/ wj (+ 1 wj))
21.0ms	(/ (/ x (exp wj)) (+ 1 wj))
56.0ms	(- wj (/ wj (+ 1 wj)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ x (exp wj))
39.0ms	(/ wj (+ 1 wj))
83.0ms	(/ (/ x (exp wj)) (+ 1 wj))
47.0ms	(- wj (/ wj (+ 1 wj)))

simplify3.0s

Counts

238 → 238

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	370	5110
1	955	4548
2	4419	3675
done	5000	3673

prune964.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

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))
7.0ms	(/ x (exp wj))
13.0ms	(- (fma wj wj (pow wj 4)) (pow wj 3))
37.0ms	(/ (/ x (exp wj)) (+ 1 wj))

series258.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(fma wj wj (pow wj 4))
34.0ms	(/ x (exp wj))
33.0ms	(- (fma wj wj (pow wj 4)) (pow wj 3))
77.0ms	(/ (/ x (exp wj)) (+ 1 wj))

simplify2.4s

Counts

198 → 198

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	305	3851
1	747	3165
2	3559	2836
done	5000	2815

prune910.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes103.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample6.4s

Algorithm

intervals

Results

4.9s	7445×	body	10240	exit
474.0ms	6234×	body	80	valid
152.0ms	852×	body	320	valid
131.0ms	484×	body	640	valid
94.0ms	514×	body	160	valid