Details

sample55.0ms

Algorithm

intervals

Results

30.0ms	68×	body	1280	valid
11.0ms	54×	body	640	valid
2.0ms	24×	body	320	valid
2.0ms	95×	body	80	valid
2.0ms	103×	body	80	nan
1.0ms	15×	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: 37.8b

localize7.0ms

Local error

Found 1 expressions with local error:

4.4b	(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×	`expm1-log1p-u` `flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(log (+ 1.0 x))

simplify1.7s

Counts

20 → 20

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	60	188
1	132	177
2	329	159
3	874	158
4	3457	151
done	5000	151

prune49.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize7.0ms

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)
4.4b	(log (+ 1.0 x))

rewrite8.0ms

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×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `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 → 69

Calls

3 calls:

2.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
2.0ms	(pow (log (+ 1.0 x)) 3)
3.0ms	(log (+ 1.0 x))

series187.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
104.0ms	(pow (log (+ 1.0 x)) 3)
40.0ms	(log (+ 1.0 x))

simplify526.0ms

Counts

78 → 78

Iterations

Useful iterations: done (524.0ms)

Iter	Nodes	Cost
0	164	1021
1	422	821
2	1447	763
done	5000	762

prune143.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.1b	(pow (- (fma 1.0 x (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3)
32.5b	(cbrt (pow (- (fma 1.0 x (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
77×	`add-sqr-sqrt`
68×	`associate-r`
62×	`unpow-prod-down`
43×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log`
26×	`sqr-pow`
24×	`unpow2`
17×	`unswap-sqr`
12×	`cbrt-prod`
10×	`prod-exp`
9×	`div-exp` `add-cbrt-cube`
7×	`pow-to-exp` `pow-exp`
6×	`pow1` `cube-prod`
4×	`cube-div`
3×	`expm1-log1p-u` `pow-unpow` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `cbrt-div` `flip3--` `unpow3` `flip--` `cbrt-unprod`
1×	`cbrt-undiv` `pow-pow` `pow1/3` `associate-r/` `pow-prod-down` `-commutative` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

3 → 164

Calls

3 calls:

31.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
3.0ms	(pow (- (fma 1.0 x (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3)
3.0ms	(cbrt (pow (- (fma 1.0 x (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3))

series195.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
104.0ms	(pow (- (fma 1.0 x (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3)
41.0ms	(cbrt (pow (- (fma 1.0 x (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3))

simplify867.0ms

Counts

173 → 173

Iterations

Useful iterations: 2 (419.0ms)

Iter	Nodes	Cost
0	322	3205
1	782	2770
2	2552	2317
done	5001	2317

prune572.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.1b

regimes87.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.4b

bsearch2.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	16	24
done	16	24

end0.0ms

sample1.7s

Algorithm

intervals

Results

986.0ms	2257×	body	1280	valid
340.0ms	1662×	body	640	valid
90.0ms	851×	body	320	valid
58.0ms	2788×	body	80	valid
36.0ms	2743×	body	80	nan
26.0ms	442×	body	160	valid