Details

sample80.0ms

Algorithm

intervals

Results

44.0ms	72×	body	1280	valid
14.0ms	50×	body	640	valid
4.0ms	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))

rewrite12.0ms

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:

11.0ms

(log (+ 1.0 x))

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

(log (+ 1.0 x))

simplify5.9s

Counts

20 → 20

Iterations

Useful iterations: done (5.9s)

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

prune53.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

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))

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: 4 (298.0ms)

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

prune56.0ms

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))

rewrite8.0ms

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

series217.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0))
122.0ms	(pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3)
54.0ms	(cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3))

simplify3.4s

Counts

67 → 67

Iterations

Useful iterations: done (3.4s)

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

prune200.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize22.0ms

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))

rewrite33.0ms

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)
8.0ms	(pow (cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3)) 3)
8.0ms	(cbrt (pow (cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3)) 3))
3.0ms	(cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3))

series394.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3)
107.0ms	(pow (cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3)) 3)
62.0ms	(cbrt (pow (cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3)) 3))
78.0ms	(cbrt (pow (fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0)) 3))

simplify3.9s

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

prune330.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes97.0ms

Accuracy

99.1% (0.2b remaining)

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

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.4s	2271×	body	1280	valid
576.0ms	1664×	body	640	valid
133.0ms	839×	body	320	valid
122.0ms	2742×	body	80	nan
98.0ms	2821×	body	80	valid
37.0ms	405×	body	160	valid