Details

sample57.0ms

Algorithm

intervals

Results

32.0ms	75×	body	1280	valid
11.0ms	54×	body	640	valid
2.0ms	97×	body	80	valid
2.0ms	17×	body	320	valid
1.0ms	79×	body	80	nan
1.0ms	13×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2
done	5	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.3b

localize3.0ms

Local error

Found 1 expressions with local error:

3.6b	(log (+ 1.0 x))

rewrite6.0ms

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:

5.0ms

(log (+ 1.0 x))

series45.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(log (+ 1.0 x))

simplify37.0ms

Counts

18 → 18

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	122	95
1	327	86
2	1161	81
3	5002	78
done	5002	78

prune42.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
36×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp` `add-log-exp`
4×	`pow1`
3×	`associate-r/` `associate-l*`
2×	`diff-log` `frac-sub` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `flip--` `flip-+` `div-inv`

Counts

2 → 126

Calls

2 calls:

55.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
37.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
56.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify70.0ms

Counts

132 → 132

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	676	882
1	2962	760
2	5001	756
done	5001	756

prune297.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt (pow (log (+ 1.0 x)) 3))
0.3b	(pow (log (+ 1.0 x)) 3)
3.6b	(log (+ 1.0 x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
8×	`unpow-prod-down` `cube-prod`
5×	`add-exp-log` `log-pow`
4×	`log-prod` `add-cbrt-cube`
3×	`pow-unpow` `add-log-exp`
2×	`cube-mult` `log-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

3 → 63

Calls

3 calls:

3.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
4.0ms	(pow (log (+ 1.0 x)) 3)
8.0ms	(log (+ 1.0 x))

series179.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
93.0ms	(pow (log (+ 1.0 x)) 3)
41.0ms	(log (+ 1.0 x))

simplify43.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	396	444
1	1597	423
2	5001	406
done	5001	406

prune124.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (* (pow (log (+ 1.0 x)) 2) (log (+ 1.0 x))))
0.2b	(pow (log (+ 1.0 x)) 2)
3.6b	(log (+ 1.0 x))
3.6b	(log (+ 1.0 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `log-prod`
7×	`add-exp-log`
4×	`unpow-prod-down` `log-div` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `log-pow`
2×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `unpow2`
1×	`cbrt-prod` `pow-to-exp` `pow-pow` `pow1/3` `pow3` `pow-exp` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

6.0ms	(cbrt (* (pow (log (+ 1.0 x)) 2) (log (+ 1.0 x))))
3.0ms	(pow (log (+ 1.0 x)) 2)
5.0ms	(log (+ 1.0 x))
5.0ms	(log (+ 1.0 x))

series193.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt (* (pow (log (+ 1.0 x)) 2) (log (+ 1.0 x))))
68.0ms	(pow (log (+ 1.0 x)) 2)
45.0ms	(log (+ 1.0 x))
40.0ms	(log (+ 1.0 x))

simplify140.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	305	444
1	1009	360
2	4462	338
3	5002	338
done	5002	338

prune168.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes104.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.8b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11
done	21	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

962.0ms	2241×	body	1280	valid
333.0ms	1656×	body	640	valid
92.0ms	894×	body	320	valid
57.0ms	2825×	body	80	valid
32.0ms	2650×	body	80	nan
22.0ms	384×	body	160	valid