Details

sample93.0ms

Algorithm

intervals

Results

51.0ms	75×	body	1280	valid
17.0ms	56×	body	640	valid
3.0ms	21×	body	320	valid
3.0ms	88×	body	80	valid
2.0ms	85×	body	80	nan
2.0ms	16×	body	160	valid

simplify4.0ms

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: 39.8b

localize20.0ms

Local error

Found 1 expressions with local error:

4.6b	(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))

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(log (+ 1.0 x))

simplify5.6s

Counts

20 → 20

Iterations

Useful iterations: done (5.6s)

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

prune81.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

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))

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

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

simplify1.0s

Counts

13 → 13

Iterations

Useful iterations: 4 (278.0ms)

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

prune53.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (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))))
10.8b	(cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)))
10.8b	(cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)))
10.8b	(cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)))

rewrite19.0ms

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:

14.0ms	(* (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)))

series1.3s

Counts

4 → 12

Calls

4 calls:

378.0ms	(* (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))))
325.0ms	(cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)))
292.0ms	(cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)))
282.0ms	(cbrt (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)))

simplify2.6s

Counts

93 → 93

Iterations

Useful iterations: done (2.6s)

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

prune398.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt (pow (log (+ 1.0 x)) 3))
0.2b	(pow (log (+ 1.0 x)) 3)
4.6b	(log (+ 1.0 x))

rewrite22.0ms

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:

3.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
4.0ms	(pow (log (+ 1.0 x)) 3)
10.0ms	(log (+ 1.0 x))

series205.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
105.0ms	(pow (log (+ 1.0 x)) 3)
53.0ms	(log (+ 1.0 x))

simplify1.1s

Counts

78 → 78

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	164	1021
1	422	821
2	1276	762
done	5000	748

prune162.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.2b

regimes182.0ms

Accuracy

99.3% (0.2b remaining)

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

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	14	22
done	14	22

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	2266×	body	1280	valid
509.0ms	1667×	body	640	valid
141.0ms	2827×	body	80	valid
135.0ms	2731×	body	80	nan
132.0ms	822×	body	320	valid
37.0ms	418×	body	160	valid