Details

sample55.0ms

Algorithm

intervals

Results

28.0ms	62×	body	1280	valid
13.0ms	63×	body	640	valid
3.0ms	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×	`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))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(log (+ 1.0 x))

simplify2.4s

Counts

20 → 20

Iterations

Useful iterations: 4 (904.0ms)

Iter	Nodes	Cost
0	60	188
1	132	177
2	329	159
3	874	158
4	3092	151
done	5001	151

prune53.0ms

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	(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)))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify968.0ms

Counts

13 → 13

Iterations

Useful iterations: 4 (217.0ms)

Iter	Nodes	Cost
0	25	225
1	45	222
2	134	194
3	376	191
4	1833	188
done	5000	188

prune55.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify2.1s

Counts

13 → 13

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	23	163
1	42	160
2	101	142
3	203	136
4	758	136
5	4514	136
done	5000	136

prune40.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

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:

6.0ms	(* (cbrt (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (cbrt (fma x (- 1.0 (* 0.5 x)) (log 1.0))))
0.0ms	(cbrt (fma x (- 1.0 (* 0.5 x)) (log 1.0)))
0.0ms	(cbrt (fma x (- 1.0 (* 0.5 x)) (log 1.0)))
1.0ms	(cbrt (fma x (- 1.0 (* 0.5 x)) (log 1.0)))

series911.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(* (cbrt (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (cbrt (fma x (- 1.0 (* 0.5 x)) (log 1.0))))
226.0ms	(cbrt (fma x (- 1.0 (* 0.5 x)) (log 1.0)))
220.0ms	(cbrt (fma x (- 1.0 (* 0.5 x)) (log 1.0)))
218.0ms	(cbrt (fma x (- 1.0 (* 0.5 x)) (log 1.0)))

simplify549.0ms

Counts

93 → 93

Iterations

Useful iterations: done (545.0ms)

Iter	Nodes	Cost
0	177	2648
1	443	2466
2	1416	2314
done	5001	2036

prune276.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes107.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 22.0b

bsearch2.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.7s

Algorithm

intervals

Results

989.0ms	2233×	body	1280	valid
350.0ms	1691×	body	640	valid
88.0ms	825×	body	320	valid
62.0ms	2846×	body	80	valid
46.0ms	2793×	body	80	nan
25.0ms	405×	body	160	valid