Details

sample56.0ms

Algorithm

intervals

Results

29.0ms	62×	body	1280	valid
13.0ms	63×	body	640	valid
2.0ms	25×	body	320	valid
2.0ms	95×	body	80	valid
1.0ms	90×	body	80	nan
1.0ms	11×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	4
1	5	4
done	5	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.0b

localize4.0ms

Local error

Found 1 expressions with local error:

4.1b	(log (+ 1.0 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(log (+ 1.0 x))

simplify2.3s

Counts

18 → 18

Iterations

Useful iterations: 4 (704.0ms)

Iter	Nodes	Cost
0	58	178
1	123	171
2	296	151
3	784	151
4	2772	146
done	5001	146

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
2×	`diff-log` `associate-*r/` `frac-sub`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `flip3-+` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+`

Counts

1 → 16

Calls

1 calls:

27.0ms

(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify1.3s

Counts

19 → 19

Iterations

Useful iterations: 3 (421.0ms)

Iter	Nodes	Cost
0	60	497
1	186	476
2	705	444
3	3070	423
done	5001	423

prune65.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (- 1.0 (* 0.5 x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

8.0ms

(* x (- 1.0 (* 0.5 x)))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(* x (- 1.0 (* 0.5 x)))

simplify1.3s

Counts

27 → 27

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	51	273
1	122	270
2	340	236
3	1239	236
done	5000	236

prune56.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* 0.5 x)))
0.2b	(cbrt (- 1.0 (* 0.5 x)))
0.2b	(cbrt (- 1.0 (* 0.5 x)))
0.2b	(* (cbrt (- 1.0 (* 0.5 x))) (cbrt (- 1.0 (* 0.5 x))))

rewrite23.0ms

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:

2.0ms	(cbrt (- 1.0 (* 0.5 x)))
2.0ms	(cbrt (- 1.0 (* 0.5 x)))
2.0ms	(cbrt (- 1.0 (* 0.5 x)))
15.0ms	(* (cbrt (- 1.0 (* 0.5 x))) (cbrt (- 1.0 (* 0.5 x))))

series514.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (- 1.0 (* 0.5 x)))
122.0ms	(cbrt (- 1.0 (* 0.5 x)))
122.0ms	(cbrt (- 1.0 (* 0.5 x)))
142.0ms	(* (cbrt (- 1.0 (* 0.5 x))) (cbrt (- 1.0 (* 0.5 x))))

simplify1.5s

Counts

99 → 99

Iterations

Useful iterations: 3 (608.0ms)

Iter	Nodes	Cost
0	172	2092
1	397	1951
2	1227	1841
3	4558	1589
done	5000	1589

prune309.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes115.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 21.7b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	49
1	47	49
done	47	49

end0.0ms

sample1.7s

Algorithm

intervals

Results

982.0ms	2233×	body	1280	valid
346.0ms	1691×	body	640	valid
90.0ms	825×	body	320	valid
66.0ms	2846×	body	80	valid
36.0ms	2793×	body	80	nan
25.0ms	405×	body	160	valid