Details

sample88.0ms

Algorithm

intervals

Results

50.0ms	72×	body	1280	valid
16.0ms	50×	body	640	valid
5.0ms	29×	body	320	valid
3.0ms	98×	body	80	valid
2.0ms	93×	body	80	nan
1.0ms	7×	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: 37.4b

localize8.0ms

Local error

Found 1 expressions with local error:

2.1b	(log (+ 1.0 x))

rewrite10.0ms

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))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(log (+ 1.0 x))

simplify5.7s

Counts

20 → 20

Iterations

Useful iterations: done (5.7s)

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

prune61.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

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:

1.0ms

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

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

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

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: 4 (294.0ms)

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

prune54.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0))
0.0b	(pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3)
33.5b	(cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0))
3.0ms	(pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3)
2.0ms	(cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3))

series260.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0))
139.0ms	(pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3)
47.0ms	(cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3))

simplify3.5s

Counts

67 → 67

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	97	1442
1	216	1237
2	603	1089
3	3465	1069
done	5000	1063

prune199.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3)
0.0b	(pow (cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3)) 3)
33.5b	(cbrt (pow (cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3)) 3))
33.5b	(cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
48×	`unpow-prod-down` `cube-prod`
28×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cube-mult` `unpow3` `sqr-pow`
6×	`pow1` `add-exp-log` `pow-unpow`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-pow` `pow1/3`
2×	`pow-to-exp` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 145

Calls

4 calls:

5.0ms	(pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3)
15.0ms	(pow (cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3)) 3)
16.0ms	(cbrt (pow (cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3)) 3))
5.0ms	(cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3))

series429.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3)
175.0ms	(pow (cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3)) 3)
49.0ms	(cbrt (pow (cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3)) 3))
75.0ms	(cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3))

simplify4.1s

Counts

157 → 157

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	144	4554
1	306	3519
2	723	3025
3	4063	2975
done	5000	2975

prune438.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes102.0ms

Accuracy

99.1% (0.2b remaining)

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

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.5s	2271×	body	1280	valid
1.0s	1664×	body	640	valid
144.0ms	839×	body	320	valid
107.0ms	2821×	body	80	valid
72.0ms	2742×	body	80	nan
40.0ms	405×	body	160	valid