Details

sample104.0ms

Algorithm

intervals

Results

64.0ms	236×	body	10240	exit
9.0ms	195×	body	80	valid
5.0ms	34×	body	320	valid
3.0ms	14×	body	640	valid
1.0ms	16×	body	160	valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 5 (202.0ms)

Iter	Nodes	Cost
0	8	16
1	20	15
2	48	15
3	105	15
4	190	14
5	621	12
6	2585	12
done	5001	12

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.3b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- wj (/ x (exp wj))) (+ wj 1))
0.2b	(/ x (exp wj))
6.1b	(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
39×	`times-frac`
23×	`add-cube-cbrt`
12×	`difference-of-squares`
9×	`associate-/l*`
7×	`associate-/r*` `add-cbrt-cube` `distribute-lft-out`
6×	`add-exp-log` `distribute-lft-out--`
5×	`add-log-exp`
3×	`pow1`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `associate-/r/` `flip--` `div-inv` `associate-/l/`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+` `associate--r-`

Counts

3 → 94

Calls

3 calls:

72.0ms	(/ (- wj (/ x (exp wj))) (+ wj 1))
15.0ms	(/ x (exp wj))
53.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

series154.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ (- wj (/ x (exp wj))) (+ wj 1))
35.0ms	(/ x (exp wj))
62.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

simplify1.9s

Counts

103 → 103

Iterations

Useful iterations: 3 (951.0ms)

Iter	Nodes	Cost
0	174	1576
1	409	1496
2	960	1436
3	2267	1431
done	5000	1431

prune336.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

15.0ms	(+ x (* wj (- wj (* x 2))))
21.0ms	(* wj (- wj (* x 2)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ x (* wj (- wj (* x 2))))
70.0ms	(* wj (- wj (* x 2)))

simplify1.5s

Counts

45 → 45

Iterations

Useful iterations: 2 (145.0ms)

Iter	Nodes	Cost
0	70	507
1	186	473
2	543	431
3	2137	431
done	5002	431

prune100.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (exp wj)) (+ wj 1))
0.2b	(/ x (exp wj))
5.5b	(- wj (/ wj (+ wj 1)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
108×	`*-un-lft-identity`
75×	`add-sqr-sqrt`
70×	`add-cube-cbrt`
19×	`associate-/l*`
18×	`distribute-lft-out`
13×	`add-cbrt-cube`
11×	`add-exp-log` `associate-/r*`
8×	`div-inv`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-/r/`
3×	`frac-2neg` `clear-num`
2×	`flip3-+` `flip-+` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 161

Calls

4 calls:

14.0ms	(/ wj (+ wj 1))
28.0ms	(/ (/ x (exp wj)) (+ wj 1))
13.0ms	(/ x (exp wj))
38.0ms	(- wj (/ wj (+ wj 1)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ wj (+ wj 1))
63.0ms	(/ (/ x (exp wj)) (+ wj 1))
44.0ms	(/ x (exp wj))
45.0ms	(- wj (/ wj (+ wj 1)))

simplify2.9s

Counts

173 → 173

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	255	2336
1	574	2195
2	1344	2107
3	3561	2098
done	5000	2098

prune525.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow wj 4) (pow wj 2))
0.0b	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
0.0b	(/ (/ x (exp wj)) (+ wj 1))
0.2b	(/ x (exp wj))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

106×	`times-frac`
96×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
61×	`add-cube-cbrt`
16×	`distribute-lft-out` `associate-/l*`
11×	`add-cbrt-cube` `add-log-exp`
9×	`add-exp-log`
7×	`associate-/r*` `div-inv`
4×	`pow1` `cbrt-undiv` `div-exp` `difference-of-squares`
2×	`frac-2neg` `flip3-+` `diff-log` `clear-num` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `unpow-prod-down` `flip3--` `cube-prod` `associate--l+` `flip--` `associate-/l/` `sqr-pow`

Counts

4 → 145

Calls

4 calls:

16.0ms	(+ (pow wj 4) (pow wj 2))
166.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
30.0ms	(/ (/ x (exp wj)) (+ wj 1))
7.0ms	(/ x (exp wj))

series244.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(+ (pow wj 4) (pow wj 2))
32.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
70.0ms	(/ (/ x (exp wj)) (+ wj 1))
46.0ms	(/ x (exp wj))

simplify3.6s

Counts

157 → 157

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	242	2337
1	582	2188
2	1505	2094
3	4871	2072
done	5000	2072

prune727.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

regimes78.0ms

Accuracy

64.9% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.6b

bsearch59.0ms

Steps

Iters	Range		Point
10	4.772092826529504e-10	110.15968793260775	1.4895969334168604e-05

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	43
1	39	43
done	39	43

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.0s	7507×	body	10240	exit
274.0ms	6302×	body	80	valid
103.0ms	777×	body	320	valid
98.0ms	467×	body	640	valid
46.0ms	544×	body	160	valid