Details

sample105.0ms

Algorithm

intervals

Results

49.0ms	59×	body	1280	valid
27.0ms	67×	body	640	valid
5.0ms	24×	body	320	valid
4.0ms	92×	body	80	valid
3.0ms	82×	body	80	nan
2.0ms	14×	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: 38.7b

localize8.0ms

Local error

Found 1 expressions with local error:

4.5b	(log (+ 1.0 x))

rewrite7.0ms

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:

7.0ms

(log (+ 1.0 x))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(log (+ 1.0 x))

simplify5.4s

Counts

20 → 20

Iterations

Useful iterations: done (5.4s)

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

prune90.0ms

Pruning

5 alts after pruning (5 fresh and 0 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))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify995.0ms

Counts

13 → 13

Iterations

Useful iterations: 4 (217.0ms)

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

prune59.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

4.5b	(log (sqrt (+ 1.0 x)))
4.5b	(log (sqrt (+ 1.0 x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`log-prod`
10×	`*-un-lft-identity`
8×	`sqrt-prod`
6×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `log-pow`
4×	`add-exp-log` `log-div` `sqrt-div`
2×	`expm1-log1p-u` `sqrt-pow1` `flip3-+` `pow1/2` `rem-log-exp` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

2 → 44

Calls

2 calls:

6.0ms	(log (sqrt (+ 1.0 x)))
6.0ms	(log (sqrt (+ 1.0 x)))

series228.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(log (sqrt (+ 1.0 x)))
114.0ms	(log (sqrt (+ 1.0 x)))

simplify2.3s

Counts

50 → 50

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	74	520
1	144	484
2	290	430
3	608	428
4	1895	416
done	5000	412

prune168.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt (pow (log (+ 1.0 x)) 3))
0.3b	(pow (log (+ 1.0 x)) 3)
4.5b	(log (+ 1.0 x))

rewrite29.0ms

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:

10.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
6.0ms	(pow (log (+ 1.0 x)) 3)
9.0ms	(log (+ 1.0 x))

series235.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
114.0ms	(pow (log (+ 1.0 x)) 3)
64.0ms	(log (+ 1.0 x))

simplify878.0ms

Counts

78 → 78

Iterations

Useful iterations: done (875.0ms)

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

prune169.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes132.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.1b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	18	31
done	18	31

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.3s	2234×	body	1280	valid
530.0ms	1726×	body	640	valid
126.0ms	874×	body	320	valid
93.0ms	2751×	body	80	nan
89.0ms	2741×	body	80	valid
66.0ms	425×	body	160	valid