Details

sample48.0ms

Algorithm

intervals

Results

34.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
1	6
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize19.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

9.0ms

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

series67.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify4.3s

Counts

37 → 37

Iterations

Iter	Nodes
5	4508
4	1988
3	600
2	237
1	90
0	55

prune279.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.4b	(log1p (expm1 (/ (atan2 im re) (log 10))))
0.6b	(expm1 (/ (atan2 im re) (log 10)))
0.8b	(/ (atan2 im re) (log 10))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`pow1`
5×	`add-cbrt-cube` `add-exp-log`
4×	`associate-/r*` `log-pow` `log1p-expm1-u`
3×	`expm1-log1p-u` `insert-posit16` `associate-/l*` `add-log-exp`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `log1p-expm1` `div-inv` `expm1-udef`

Counts

3 → 58

Calls

3 calls:

0.0ms	(log1p (expm1 (/ (atan2 im re) (log 10))))
0.0ms	(expm1 (/ (atan2 im re) (log 10)))
4.0ms	(/ (atan2 im re) (log 10))

series355.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(log1p (expm1 (/ (atan2 im re) (log 10))))
149.0ms	(expm1 (/ (atan2 im re) (log 10)))
69.0ms	(/ (atan2 im re) (log 10))

simplify3.9s

Counts

67 → 67

Iterations

Iter	Nodes
5	4160
4	1852
3	622
2	285
1	118
0	77

prune460.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(log1p (log1p (expm1 (expm1 (/ (atan2 im re) (log 10))))))
0.4b	(log1p (expm1 (expm1 (/ (atan2 im re) (log 10)))))
0.6b	(expm1 (/ (atan2 im re) (log 10)))
0.8b	(/ (atan2 im re) (log 10))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
8×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`expm1-log1p-u` `log1p-expm1-u`
4×	`associate-/r*` `log-pow` `insert-posit16` `add-log-exp`
3×	`associate-/l*`
2×	`log1p-udef` `log1p-expm1`
1×	`cbrt-undiv` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `div-inv` `expm1-udef`

Counts

4 → 70

Calls

4 calls:

0.0ms	(log1p (log1p (expm1 (expm1 (/ (atan2 im re) (log 10))))))
0.0ms	(log1p (expm1 (expm1 (/ (atan2 im re) (log 10)))))
0.0ms	(expm1 (/ (atan2 im re) (log 10)))
4.0ms	(/ (atan2 im re) (log 10))

series589.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(log1p (log1p (expm1 (expm1 (/ (atan2 im re) (log 10))))))
175.0ms	(log1p (expm1 (expm1 (/ (atan2 im re) (log 10)))))
150.0ms	(expm1 (/ (atan2 im re) (log 10)))
74.0ms	(/ (atan2 im re) (log 10))

simplify965.0ms

Counts

82 → 82

Iterations

Iter	Nodes
4	2134
3	705
2	301
1	145
0	89

prune682.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b	(log1p (log1p (expm1 (expm1 (/ 1 (/ (log 10) (atan2 im re)))))))
0.4b	(log1p (expm1 (expm1 (/ 1 (/ (log 10) (atan2 im re))))))
0.6b	(expm1 (/ 1 (/ (log 10) (atan2 im re))))
0.8b	(/ (log 10) (atan2 im re))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
8×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`expm1-log1p-u` `log1p-expm1-u`
4×	`log-pow` `insert-posit16` `associate-/l*` `add-log-exp`
3×	`associate-/r*`
2×	`log1p-udef` `log1p-expm1`
1×	`cbrt-undiv` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `div-inv` `expm1-udef`

Counts

4 → 70

Calls

4 calls:

1.0ms	(log1p (log1p (expm1 (expm1 (/ 1 (/ (log 10) (atan2 im re)))))))
0.0ms	(log1p (expm1 (expm1 (/ 1 (/ (log 10) (atan2 im re))))))
1.0ms	(expm1 (/ 1 (/ (log 10) (atan2 im re))))
11.0ms	(/ (log 10) (atan2 im re))

series512.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(log1p (log1p (expm1 (expm1 (/ 1 (/ (log 10) (atan2 im re)))))))
139.0ms	(log1p (expm1 (expm1 (/ 1 (/ (log 10) (atan2 im re))))))
106.0ms	(expm1 (/ 1 (/ (log 10) (atan2 im re))))
64.0ms	(/ (log 10) (atan2 im re))

simplify1.3s

Counts

82 → 82

Iterations

Iter	Nodes
4	2458
3	824
2	317
1	142
0	93

prune745.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes290.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
1	10
0	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

821.0ms

8000×

body

valid