Details

sample41.0ms

Algorithm

intervals

Results

27.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize30.0ms

Local error

Found 1 expressions with local error:

0.8b	(/ (atan2 im re) (log 10))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`associate-/r*` `log-pow`
3×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

9.0ms

(/ (atan2 im re) (log 10))

series93.0ms

Counts

1 → 3

Calls

1 calls:

93.0ms

(/ (atan2 im re) (log 10))

simplify1.8s

Counts

35 → 35

Iterations

Iter	Nodes
done	2440
5	2440
4	1721
3	609
2	240
1	90
0	53

prune171.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1 (/ (log 10) (atan2 im re)))
0.8b	(/ (log 10) (atan2 im re))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
60×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
19×	`pow1` `associate-/r*`
16×	`log-pow`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `add-log-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 121

Calls

2 calls:

14.0ms	(/ 1 (/ (log 10) (atan2 im re)))
12.0ms	(/ (log 10) (atan2 im re))

series155.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(/ 1 (/ (log 10) (atan2 im re)))
71.0ms	(/ (log 10) (atan2 im re))

simplify1.4s

Counts

127 → 127

Iterations

Iter	Nodes
done	2007
4	2007
3	1945
2	774
1	352
0	151

prune363.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ (log 10) (atan2 im re))
4.9b	(cbrt (/ (log 10) (atan2 im re)))
4.9b	(cbrt (/ (log 10) (atan2 im re)))
4.9b	(cbrt (/ (log 10) (atan2 im re)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-prod` `times-frac`
37×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`pow1`
13×	`log-pow`
6×	`add-cbrt-cube` `add-exp-log`
4×	`insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
3×	`cbrt-div` `associate-/r*` `pow1/3`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`

Counts

4 → 110

Calls

4 calls:

9.0ms	(/ (log 10) (atan2 im re))
1.0ms	(cbrt (/ (log 10) (atan2 im re)))
1.0ms	(cbrt (/ (log 10) (atan2 im re)))
2.0ms	(cbrt (/ (log 10) (atan2 im re)))

series546.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ (log 10) (atan2 im re))
178.0ms	(cbrt (/ (log 10) (atan2 im re)))
157.0ms	(cbrt (/ (log 10) (atan2 im re)))
146.0ms	(cbrt (/ (log 10) (atan2 im re)))

simplify1.1s

Counts

122 → 122

Iterations

Iter	Nodes
done	2005
4	2005
3	674
2	299
1	128
0	82

prune644.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (sqrt (log 10)))
4.9b	(cbrt (/ (log 10) (atan2 im re)))
4.9b	(cbrt (/ (log 10) (atan2 im re)))
5.6b	(cbrt (/ (sqrt (log 10)) (atan2 im re)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
45×	`times-frac`
36×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`sqrt-prod`
14×	`pow1`
10×	`log-pow`
4×	`add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`cbrt-div` `div-inv`

Counts

4 → 103

Calls

4 calls:

1.0ms	(cbrt (sqrt (log 10)))
2.0ms	(cbrt (/ (log 10) (atan2 im re)))
1.0ms	(cbrt (/ (log 10) (atan2 im re)))
2.0ms	(cbrt (/ (sqrt (log 10)) (atan2 im re)))

series590.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(cbrt (sqrt (log 10)))
128.0ms	(cbrt (/ (log 10) (atan2 im re)))
166.0ms	(cbrt (/ (log 10) (atan2 im re)))
295.0ms	(cbrt (/ (sqrt (log 10)) (atan2 im re)))

simplify1.1s

Counts

113 → 113

Iterations

Iter	Nodes
done	2005
4	2005
3	686
2	332
1	198
0	139

prune662.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes326.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample891.0ms

Algorithm

intervals

Results

694.0ms

8000×

body

valid