Details

sample176.0ms

Algorithm

intervals

Results

116.0ms	252×	body	10240	exit
14.0ms	193×	body	80	valid
6.0ms	28×	body	320	valid
5.0ms	14×	body	640	valid
3.0ms	23×	body	160	valid

simplify589.0ms

Counts

1 → 1

Iterations

Useful iterations: done (588.0ms)

Iter	Nodes	Cost
0	8	16
1	20	15
2	48	15
3	109	15
4	398	15
done	5000	14

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.9b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj))
0.0b	(/ x (exp wj))
6.4b	(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj)))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

118×	`add-sqr-sqrt`
99×	`times-frac`
94×	`*-un-lft-identity`
32×	`difference-of-squares`
28×	`add-cube-cbrt`
14×	`associate-/l*`
12×	`distribute-lft-out`
11×	`distribute-lft-out--`
7×	`associate-/r*` `add-cbrt-cube`
6×	`add-exp-log`
5×	`add-log-exp`
3×	`pow1` `associate-/l/`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub` `flip-+` `associate--r-`

Counts

3 → 120

Calls

3 calls:

104.0ms	(/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj))
13.0ms	(/ x (exp wj))
179.0ms	(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj)))

series201.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj))
37.0ms	(/ x (exp wj))
82.0ms	(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj)))

simplify1.7s

Counts

129 → 129

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	221	2443
1	541	2027
2	2159	1968
done	5002	1966

prune376.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 calls:

10.0ms	(+ x (pow wj 2))
21.0ms	(* 2 (* wj x))
159.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))

series122.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ x (pow wj 2))
23.0ms	(* 2 (* wj x))
43.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))

simplify839.0ms

Counts

53 → 53

Iterations

Useful iterations: done (837.0ms)

Iter	Nodes	Cost
0	77	568
1	207	517
2	908	481
done	5000	443

prune157.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ 1 wj))
0.0b	(/ (/ x (exp wj)) (+ 1 wj))
0.0b	(/ x (exp wj))
7.7b	(- wj (/ wj (+ 1 wj)))

rewrite101.0ms

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:

22.0ms	(/ wj (+ 1 wj))
38.0ms	(/ (/ x (exp wj)) (+ 1 wj))
7.0ms	(/ x (exp wj))
22.0ms	(- wj (/ wj (+ 1 wj)))

series220.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ wj (+ 1 wj))
88.0ms	(/ (/ x (exp wj)) (+ 1 wj))
45.0ms	(/ x (exp wj))
48.0ms	(- wj (/ wj (+ 1 wj)))

simplify1.4s

Counts

173 → 173

Iterations

Useful iterations: 2 (491.0ms)

Iter	Nodes	Cost
0	255	2336
1	630	2195
2	2577	2113
done	5000	2113

prune688.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite220.0ms

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:

22.0ms	(/ (/ x (exp wj)) (+ 1 wj))
160.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
7.0ms	(/ x (exp wj))
26.0ms	(+ (pow wj 4) (pow wj 2))

series222.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (/ x (exp wj)) (+ 1 wj))
34.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
42.0ms	(/ x (exp wj))
93.0ms	(+ (pow wj 4) (pow wj 2))

simplify1.5s

Counts

157 → 157

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	242	2337
1	619	2188
2	2719	2099
done	5000	2097

prune898.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

74.9% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 1.2b

bsearch31.0ms

Steps

Iters	Range		Point
6	7.508000478696826e-06	9.536407420752788e-05	9.365019380480616e-05

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	49
1	29	49
done	29	49

end0.0ms

sample6.5s

Algorithm

intervals

Results

4.6s	7532×	body	10240	exit
586.0ms	784×	body	320	valid
522.0ms	6334×	body	80	valid
159.0ms	430×	body	640	valid
61.0ms	522×	body	160	valid