Details

sample195.0ms

Algorithm

intervals

Results

145.0ms	268×	body	10240	exit
13.0ms	208×	body	80	valid
5.0ms	25×	body	320	valid
4.0ms	13×	body	640	valid
2.0ms	15×	body	160	valid

simplify532.0ms

Counts

1 → 1

Iterations

Useful iterations: done (531.0ms)

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.2b

localize12.0ms

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)))

rewrite292.0ms

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:

13.0ms	(/ x (exp wj))
159.0ms	(/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj))
108.0ms	(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj)))

series168.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ x (exp wj))
58.0ms	(/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj))
67.0ms	(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj)))

simplify1.4s

Counts

129 → 129

Iterations

Useful iterations: 2 (564.0ms)

Iter	Nodes	Cost
0	221	2443
1	539	2027
2	2159	1968
done	5001	1968

prune393.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

34.0ms	(* 2 (* wj x))
157.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* 2 (* wj x))
64.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))

simplify762.0ms

Counts

38 → 38

Iterations

Useful iterations: done (760.0ms)

Iter	Nodes	Cost
0	63	439
1	167	409
2	731	371
done	5001	335

prune137.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* wj (- wj (* x 2))) x)) (cbrt (+ (* wj (- wj (* x 2))) x)))
0.6b	(cbrt (+ (* wj (- wj (* x 2))) x))
0.6b	(cbrt (+ (* wj (- wj (* x 2))) x))
0.6b	(cbrt (+ (* wj (- wj (* x 2))) x))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

106.0ms	(* (cbrt (+ (* wj (- wj (* x 2))) x)) (cbrt (+ (* wj (- wj (* x 2))) x)))
17.0ms	(cbrt (+ (* wj (- wj (* x 2))) x))
16.0ms	(cbrt (+ (* wj (- wj (* x 2))) x))
18.0ms	(cbrt (+ (* wj (- wj (* x 2))) x))

series1.0s

Counts

4 → 12

Calls

4 calls:

240.0ms	(* (cbrt (+ (* wj (- wj (* x 2))) x)) (cbrt (+ (* wj (- wj (* x 2))) x)))
248.0ms	(cbrt (+ (* wj (- wj (* x 2))) x))
240.0ms	(cbrt (+ (* wj (- wj (* x 2))) x))
273.0ms	(cbrt (+ (* wj (- wj (* x 2))) x))

simplify893.0ms

Counts

99 → 99

Iterations

Useful iterations: done (889.0ms)

Iter	Nodes	Cost
0	105	2344
1	255	2202
2	1066	2046
done	5000	1855

prune446.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize16.0ms

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)))

rewrite124.0ms

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	(/ x (exp wj))
44.0ms	(/ (/ x (exp wj)) (+ 1 wj))
31.0ms	(/ wj (+ 1 wj))
21.0ms	(- wj (/ wj (+ 1 wj)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ x (exp wj))
55.0ms	(/ (/ x (exp wj)) (+ 1 wj))
32.0ms	(/ wj (+ 1 wj))
48.0ms	(- wj (/ wj (+ 1 wj)))

simplify1.3s

Counts

173 → 173

Iterations

Useful iterations: 2 (442.0ms)

Iter	Nodes	Cost
0	255	2336
1	630	2195
2	2676	2111
done	5001	2111

prune724.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	20
1	21	20
done	21	20

end0.0ms

sample6.4s

Algorithm

intervals

Results

4.9s	7747×	body	10240	exit
449.0ms	6311×	body	80	valid
161.0ms	456×	body	640	valid
140.0ms	791×	body	320	valid
59.0ms	529×	body	160	valid