Details

sample91.0ms

Algorithm

intervals

Results

46.0ms	67×	body	1280	valid
17.0ms	52×	body	640	valid
7.0ms	96×	body	80	valid
4.0ms	29×	body	320	valid
2.0ms	81×	body	80	nan
1.0ms	12×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.9b

localize9.0ms

Local error

Found 1 expressions with local error:

4.8b	(log (+ 1.0 x))

rewrite11.0ms

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:

10.0ms

(log (+ 1.0 x))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(log (+ 1.0 x))

simplify1.4s

Counts

20 → 20

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	60	188
1	133	177
2	429	159
3	1678	158
done	5000	154

prune61.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ (pow x 2) (pow 1.0 2)) -1/2 (fma 1.0 x (log 1.0)))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(fma (/ (pow x 2) (pow 1.0 2)) -1/2 (fma 1.0 x (log 1.0)))

simplify497.0ms

Counts

13 → 13

Iterations

Useful iterations: done (495.0ms)

Iter	Nodes	Cost
0	25	225
1	45	222
2	148	194
3	640	191
done	5001	188

prune62.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma x (- 1.0 (* x 0.5)) (log 1.0))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(fma x (- 1.0 (* x 0.5)) (log 1.0))

simplify2.9s

Counts

13 → 13

Iterations

Useful iterations: 4 (455.0ms)

Iter	Nodes	Cost
0	23	163
1	42	160
2	115	142
3	450	139
4	3408	136
done	5000	136

prune50.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (- 1.0 (* x 0.5)) (log 1.0))) (cbrt (fma x (- 1.0 (* x 0.5)) (log 1.0))))
10.4b	(cbrt (fma x (- 1.0 (* x 0.5)) (log 1.0)))
10.4b	(cbrt (fma x (- 1.0 (* x 0.5)) (log 1.0)))
10.4b	(cbrt (fma x (- 1.0 (* x 0.5)) (log 1.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

29.0ms	(* (cbrt (fma x (- 1.0 (* x 0.5)) (log 1.0))) (cbrt (fma x (- 1.0 (* x 0.5)) (log 1.0))))
1.0ms	(cbrt (fma x (- 1.0 (* x 0.5)) (log 1.0)))
1.0ms	(cbrt (fma x (- 1.0 (* x 0.5)) (log 1.0)))
1.0ms	(cbrt (fma x (- 1.0 (* x 0.5)) (log 1.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

345.0ms	(* (cbrt (fma x (- 1.0 (* x 0.5)) (log 1.0))) (cbrt (fma x (- 1.0 (* x 0.5)) (log 1.0))))
283.0ms	(cbrt (fma x (- 1.0 (* x 0.5)) (log 1.0)))
282.0ms	(cbrt (fma x (- 1.0 (* x 0.5)) (log 1.0)))
320.0ms	(cbrt (fma x (- 1.0 (* x 0.5)) (log 1.0)))

simplify931.0ms

Counts

93 → 93

Iterations

Useful iterations: done (926.0ms)

Iter	Nodes	Cost
0	177	2648
1	472	2462
2	1818	2314
done	5001	1934

prune390.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes125.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.5b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	14	19
done	14	19

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.5s	2278×	body	1280	valid
560.0ms	1691×	body	640	valid
125.0ms	807×	body	320	valid
119.0ms	2804×	body	80	valid
61.0ms	2645×	body	80	nan
38.0ms	420×	body	160	valid