Details

sample61.0ms

Algorithm

intervals

Results

35.0ms	79×	body	1280	valid
13.0ms	61×	body	640	valid
3.0ms	28×	body	320	valid
2.0ms	79×	body	80	valid
1.0ms	82×	body	80	nan
1.0ms	9×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 42.3b

localize4.0ms

Local error

Found 1 expressions with local error:

2.7b	(log (+ 1.0 x))

rewrite3.0ms

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:

3.0ms

(log (+ 1.0 x))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(log (+ 1.0 x))

simplify715.0ms

Counts

20 → 20

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	60	188
1	132	177
2	339	159
3	1172	158
done	5000	158

prune54.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (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 -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0)))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: 4 (215.0ms)

Iter	Nodes	Cost
0	25	225
1	45	222
2	134	194
3	449	191
4	2803	188
done	5000	188

prune48.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
2.7b	(log (sqrt (+ 1.0 x)))
2.7b	(log (sqrt (+ 1.0 x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

4.0ms	(sqrt (+ 1.0 x))
4.0ms	(sqrt (+ 1.0 x))
3.0ms	(log (sqrt (+ 1.0 x)))
3.0ms	(log (sqrt (+ 1.0 x)))

series431.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sqrt (+ 1.0 x))
36.0ms	(sqrt (+ 1.0 x))
83.0ms	(log (sqrt (+ 1.0 x)))
281.0ms	(log (sqrt (+ 1.0 x)))

simplify812.0ms

Counts

94 → 94

Iterations

Useful iterations: 3 (265.0ms)

Iter	Nodes	Cost
0	93	896
1	188	816
2	488	738
3	1986	730
done	5000	730

prune219.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ 1.0 x)))
2.7b	(log (sqrt (+ 1.0 x)))
2.8b	(log (sqrt (sqrt (+ 1.0 x))))
2.8b	(log (sqrt (sqrt (+ 1.0 x))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

38×	`sqrt-prod`
27×	`log-prod`
22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`pow1` `add-cube-cbrt` `sqrt-div`
13×	`sqrt-pow1` `log-pow`
7×	`add-exp-log` `pow1/2`
6×	`log-div`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`rem-log-exp`
2×	`rem-sqrt-square`

Counts

4 → 100

Calls

4 calls:

5.0ms	(sqrt (sqrt (+ 1.0 x)))
3.0ms	(log (sqrt (+ 1.0 x)))
4.0ms	(log (sqrt (sqrt (+ 1.0 x))))
4.0ms	(log (sqrt (sqrt (+ 1.0 x))))

series430.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(sqrt (sqrt (+ 1.0 x)))
84.0ms	(log (sqrt (+ 1.0 x)))
123.0ms	(log (sqrt (sqrt (+ 1.0 x))))
128.0ms	(log (sqrt (sqrt (+ 1.0 x))))

simplify2.0s

Counts

112 → 112

Iterations

Useful iterations: 3 (747.0ms)

Iter	Nodes	Cost
0	180	1297
1	372	1181
2	1084	1085
3	4679	1055
done	5000	1055

prune309.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes126.0ms

Accuracy

97.8% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 21.4b

bsearch2.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	24
1	15	24
done	15	24

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2336×	body	1280	valid
342.0ms	1650×	body	640	valid
86.0ms	818×	body	320	valid
59.0ms	2790×	body	80	valid
34.0ms	2656×	body	80	nan
26.0ms	406×	body	160	valid