Details

sample79.0ms

Algorithm

intervals

Results

41.0ms	66×	body	1280	valid
15.0ms	52×	body	640	valid
4.0ms	31×	body	320	valid
3.0ms	96×	body	80	valid
2.0ms	85×	body	80	nan
1.0ms	11×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.0b

localize5.0ms

Local error

Found 1 expressions with local error:

3.9b	(log (+ 1.0 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

4.0ms

(log (+ 1.0 x))

series66.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(log (+ 1.0 x))

simplify2.8s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
4	2640
3	823
2	324
1	131
0	60

prune114.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify2.1s

Counts

13 → 13

Iterations

Iter	Nodes
done	5009
4	1922
3	370
2	116
1	46
0	25

prune82.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (- 1.0 (* x 0.5)) (log 1.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma x (- 1.0 (* x 0.5)) (log 1.0))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(fma x (- 1.0 (* x 0.5)) (log 1.0))

simplify1.8s

Counts

13 → 13

Iterations

Iter	Nodes
done	5014
4	1374
3	287
2	101
1	41
0	23

prune78.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

3.9b	(log (sqrt (+ 1.0 x)))
3.9b	(log (sqrt (+ 1.0 x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

8.0ms	(log (sqrt (+ 1.0 x)))
9.0ms	(log (sqrt (+ 1.0 x)))

series206.0ms

Counts

2 → 6

Calls

2 calls:

103.0ms	(log (sqrt (+ 1.0 x)))
103.0ms	(log (sqrt (+ 1.0 x)))

simplify2.1s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
4	2018
3	745
2	328
1	145
0	74

prune191.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes58.0ms

Accuracy

97.9% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 21.7b

bsearch2.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.6s	2329×	body	1280	valid
510.0ms	2809×	body	80	valid
492.0ms	1573×	body	640	valid
141.0ms	863×	body	320	valid
99.0ms	2645×	body	80	nan
43.0ms	426×	body	160	valid