Details

sample67.0ms

Algorithm

intervals

Results

36.0ms	77×	body	1280	valid
12.0ms	50×	body	640	valid
3.0ms	27×	body	320	valid
3.0ms	93×	body	80	valid
2.0ms	97×	body	80	nan
1.0ms	9×	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: 38.6b

localize4.0ms

Local error

Found 1 expressions with local error:

3.2b	(log (+ 1.0 x))

rewrite6.0ms

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:

5.0ms

(log (+ 1.0 x))

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(log (+ 1.0 x))

simplify5.8s

Counts

20 → 20

Iterations

Useful iterations: done (5.8s)

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

prune76.0ms

Pruning

4 alts after pruning (3 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:

0.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify1.0s

Counts

13 → 13

Iterations

Useful iterations: 4 (291.0ms)

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

prune73.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize15.0ms

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)
3.2b	(log (+ 1.0 x))

rewrite27.0ms

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:

6.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
7.0ms	(pow (log (+ 1.0 x)) 3)
10.0ms	(log (+ 1.0 x))

series270.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
111.0ms	(pow (log (+ 1.0 x)) 3)
88.0ms	(log (+ 1.0 x))

simplify1.0s

Counts

78 → 78

Iterations

Useful iterations: done (1.0s)

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

prune210.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (pow (log (+ 1.0 x)) 3))
0.3b	(pow (log (+ 1.0 x)) 3)
0.3b	(pow (cbrt (pow (log (+ 1.0 x)) 3)) 3)
3.2b	(log (+ 1.0 x))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
33×	`unpow-prod-down` `cube-prod`
22×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`pow1`
9×	`log-pow`
7×	`add-exp-log`
6×	`pow-unpow`
5×	`cube-mult` `unpow3` `add-cbrt-cube` `sqr-pow`
4×	`expm1-log1p-u` `log-prod` `log1p-expm1-u` `add-log-exp`
3×	`pow-pow`
2×	`pow-to-exp` `log-div` `pow1/3` `pow-exp` `rem-cube-cbrt`
1×	`flip3-+` `rem-log-exp` `rem-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

4 → 123

Calls

4 calls:

6.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
8.0ms	(pow (log (+ 1.0 x)) 3)
25.0ms	(pow (cbrt (pow (log (+ 1.0 x)) 3)) 3)
11.0ms	(log (+ 1.0 x))

series444.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
168.0ms	(pow (log (+ 1.0 x)) 3)
131.0ms	(pow (cbrt (pow (log (+ 1.0 x)) 3)) 3)
76.0ms	(log (+ 1.0 x))

simplify1.0s

Counts

135 → 135

Iterations

Useful iterations: done (994.0ms)

Iter	Nodes	Cost
0	193	2122
1	494	1519
2	1373	1409
done	5000	1383

prune347.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes118.0ms

Accuracy

97.5% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 21.6b

bsearch3.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	22
1	13	22
done	13	22

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.6s	2358×	body	1280	valid
551.0ms	1603×	body	640	valid
136.0ms	829×	body	320	valid
98.0ms	2810×	body	80	valid
94.0ms	2697×	body	80	nan
38.0ms	400×	body	160	valid