Details

sample186.0ms

Algorithm

intervals

Results

124.0ms	235×	body	10240	exit
14.0ms	196×	body	80	valid
9.0ms	25×	body	640	valid
5.0ms	23×	body	320	valid
3.0ms	15×	body	160	valid

simplify591.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	398
3	109
2	48
1	20
0	8

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.5b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (exp wj))
0.0b	(/ (- (/ x (exp wj)) (/ wj 1)) (+ 1 wj))
4.7b	(+ wj (/ (- (/ x (exp wj)) (/ wj 1)) (+ 1 wj)))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

113×	`add-sqr-sqrt`
98×	`times-frac`
94×	`*-un-lft-identity`
30×	`difference-of-squares`
28×	`add-cube-cbrt`
14×	`associate-/l*`
13×	`distribute-lft-out`
10×	`distribute-lft-out--`
7×	`associate-/r*` `add-cbrt-cube`
6×	`add-exp-log`
5×	`add-log-exp`
3×	`pow1` `associate-/l/`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-sub` `div-exp` `associate-/r/` `flip-+` `div-inv`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3--` `frac-sub` `flip--`

Counts

3 → 117

Calls

3 calls:

10.0ms	(/ x (exp wj))
107.0ms	(/ (- (/ x (exp wj)) (/ wj 1)) (+ 1 wj))
138.0ms	(+ wj (/ (- (/ x (exp wj)) (/ wj 1)) (+ 1 wj)))

series253.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ x (exp wj))
82.0ms	(/ (- (/ x (exp wj)) (/ wj 1)) (+ 1 wj))
122.0ms	(+ wj (/ (- (/ x (exp wj)) (/ wj 1)) (+ 1 wj)))

simplify1.2s

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
2	2113
1	536
0	216

prune503.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

20.0ms	(+ (+ x (* wj wj)) (* -2 (* wj x)))
23.0ms	(* -2 (* wj x))
9.0ms	(+ x (* wj wj))

series131.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (+ x (* wj wj)) (* -2 (* wj x)))
34.0ms	(* -2 (* wj x))
56.0ms	(+ x (* wj wj))

simplify974.0ms

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
2	1425
1	269
0	84

prune214.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ wj 1) (+ 1 wj))
0.0b	(/ x (+ 1 wj))
0.0b	(/ (/ x (+ 1 wj)) (exp wj))
4.6b	(- (+ wj (/ (/ x (+ 1 wj)) (exp wj))) (/ (/ wj 1) (+ 1 wj)))

rewrite663.0ms

Algorithm

rewrite-expression-head

Rules

216×	`times-frac`
179×	`*-un-lft-identity`
125×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
34×	`associate-/l*`
31×	`distribute-lft-out`
16×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r/` `div-inv`
11×	`associate-/r*`
9×	`div-exp` `add-log-exp`
7×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`pow1` `difference-of-squares`
3×	`clear-num` `frac-2neg`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `associate-/l/`
1×	`sum-log` `sub-neg` `flip3--` `1-exp` `associate--l+` `flip--`

Counts

4 → 232

Calls

4 calls:

29.0ms	(/ (/ wj 1) (+ 1 wj))
18.0ms	(/ x (+ 1 wj))
38.0ms	(/ (/ x (+ 1 wj)) (exp wj))
561.0ms	(- (+ wj (/ (/ x (+ 1 wj)) (exp wj))) (/ (/ wj 1) (+ 1 wj)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (/ wj 1) (+ 1 wj))
46.0ms	(/ x (+ 1 wj))
77.0ms	(/ (/ x (+ 1 wj)) (exp wj))
57.0ms	(- (+ wj (/ (/ x (+ 1 wj)) (exp wj))) (/ (/ wj 1) (+ 1 wj)))

simplify630.0ms

Counts

244 → 244

Iterations

Iter	Nodes
done	5001
1	1081
0	396

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (- wj (* x -2)))
0.0b	(* wj (+ wj (* x -2)))
0.1b	(* (+ (* wj (+ wj (* x -2))) x) (+ (* wj (- wj (* x -2))) x))
25.1b	(/ (* (+ (* wj (+ wj (* x -2))) x) (+ (* wj (- wj (* x -2))) x)) (+ (* wj (- wj (* x -2))) x))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-cbrt-cube` `add-exp-log`
14×	`flip3-+` `flip-+`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1`
9×	`associate-r` `associate-l`
8×	`frac-times` `associate-*r/` `associate-/l/`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`associate-/r` `times-frac` `pow-prod-down` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `div-exp` `associate-/r/`
1×	`clear-num` `frac-2neg` `flip3--` `div-inv` `flip--` `associate-/l*`

Counts

4 → 105

Calls

4 calls:

14.0ms	(* wj (- wj (* x -2)))
19.0ms	(* wj (+ wj (* x -2)))
104.0ms	(* (+ (* wj (+ wj (* x -2))) x) (+ (* wj (- wj (* x -2))) x))
61.0ms	(/ (* (+ (* wj (+ wj (* x -2))) x) (+ (* wj (- wj (* x -2))) x)) (+ (* wj (- wj (* x -2))) x))

series276.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* wj (- wj (* x -2)))
68.0ms	(* wj (+ wj (* x -2)))
112.0ms	(* (+ (* wj (+ wj (* x -2))) x) (+ (* wj (- wj (* x -2))) x))
38.0ms	(/ (* (+ (* wj (+ wj (* x -2))) x) (+ (* wj (- wj (* x -2))) x)) (+ (* wj (- wj (* x -2))) x))

simplify3.1s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	4603
1	625
0	187

prune609.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes136.0ms

Accuracy

0% (1.8b remaining)

Error of 2.1b against oracle of 0.3b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample6.0s

Algorithm

intervals

Results

4.2s	7606×	body	10240	exit
793.0ms	6289×	body	80	valid
166.0ms	812×	body	320	valid
143.0ms	452×	body	640	valid
94.0ms	532×	body	160	valid