Details

sample58.0ms

Algorithm

intervals

Results

30.0ms	65×	body	1280	valid
13.0ms	58×	body	640	valid
3.0ms	28×	body	320	valid
2.0ms	89×	body	80	valid
1.0ms	82×	body	80	nan
1.0ms	16×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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: 39.4b

localize4.0ms

Local error

Found 1 expressions with local error:

5.2b	(log (+ 1.0 x))

rewrite5.0ms

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:

4.0ms

(log (+ 1.0 x))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(log (+ 1.0 x))

simplify3.5s

Counts

20 → 20

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	60	188
1	132	177
2	293	159
3	601	158
4	1413	151
5	3597	149
done	5001	147

prune43.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify639.0ms

Counts

13 → 13

Iterations

Useful iterations: 4 (151.0ms)

Iter	Nodes	Cost
0	25	202
1	45	199
2	103	175
3	276	172
4	918	169
done	5000	169

prune43.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0))) (cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0))))
10.3b	(cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)))
10.3b	(cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)))
10.3b	(cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)))

rewrite15.0ms

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:

10.0ms	(* (cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0))) (cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0))))
1.0ms	(cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)))
1.0ms	(cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)))
1.0ms	(cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

233.0ms	(* (cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0))) (cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0))))
208.0ms	(cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)))
408.0ms	(cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)))
208.0ms	(cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	179	3098
1	446	2888
2	1307	2698
3	4365	2120
done	5000	2115

prune285.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

5.2b	(log (+ 1.0 x))

rewrite5.0ms

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:

4.0ms

(log (+ 1.0 x))

series40.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(log (+ 1.0 x))

simplify3.4s

Counts

20 → 20

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	60	188
1	132	177
2	293	159
3	601	158
4	1413	151
5	3597	149
done	5001	147

prune41.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.1b

regimes109.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.7b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: done (2.0ms)

Iter	Nodes	Cost
0	15	24
1	18	24
done	18	22

end0.0ms

sample1.7s

Algorithm

intervals

Results

981.0ms	2243×	body	1280	valid
347.0ms	1670×	body	640	valid
93.0ms	848×	body	320	valid
59.0ms	2832×	body	80	valid
33.0ms	2686×	body	80	nan
24.0ms	407×	body	160	valid