Details

sample77.0ms

Algorithm

intervals

Results

30.0ms	256×	body	80	valid
28.0ms	274×	body	80	nan

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	1149
6	401
5	177
4	115
3	68
2	33
1	26
0	18

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (atan2 im re) (log base))

rewrite6.0ms

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:

5.0ms

(/ (atan2 im re) (log base))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(/ (atan2 im re) (log base))

simplify3.3s

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
4	1956
3	675
2	277
1	109
0	63

prune186.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (atan2 im re) (/ 1 (log base)))
0.3b	(/ 1 (log base))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`times-frac`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt`
16×	`associate-r`
15×	`add-exp-log`
12×	`pow1`
9×	`add-cbrt-cube`
7×	`log-pow`
4×	`associate-/r*` `div-exp` `prod-exp`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 76

Calls

2 calls:

27.0ms	(* (atan2 im re) (/ 1 (log base)))
10.0ms	(/ 1 (log base))

series291.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (atan2 im re) (/ 1 (log base)))
249.0ms	(/ 1 (log base))

simplify2.9s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
4	2791
3	1319
2	648
1	221
0	102

prune251.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ (log base) (atan2 im re))
0.5b	(/ 1 (/ (log base) (atan2 im re)))

rewrite22.0ms

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:

7.0ms	(/ (log base) (atan2 im re))
11.0ms	(/ 1 (/ (log base) (atan2 im re)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ (log base) (atan2 im re))
59.0ms	(/ 1 (/ (log base) (atan2 im re)))

simplify2.1s

Counts

127 → 127

Iterations

Iter	Nodes
done	5130
3	3034
2	1049
1	383
0	164

prune443.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (log base))
0.4b	(* (/ 1 (log base)) (/ 1 (log base)))
0.4b	(* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))
0.6b	(cbrt (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

297×	`add-exp-log`
148×	`prod-exp`
116×	`div-exp`
98×	`times-frac`
85×	`add-sqr-sqrt` `pow1`
72×	`*-un-lft-identity`
59×	`add-cbrt-cube`
58×	`rec-exp` `1-exp`
57×	`add-cube-cbrt`
32×	`associate-r`
31×	`pow-prod-up`
30×	`pow-flip` `inv-pow`
25×	`log-pow`
24×	`swap-sqr`
22×	`cbrt-unprod`
18×	`cbrt-undiv`
17×	`associate-l`
13×	`frac-times` `associate-*l/`
12×	`unswap-sqr`
10×	`cbrt-div` `pow-prod-down`
9×	`pow-sqr`
8×	`div-inv`
7×	`pow-plus` `associate-*r/` `un-div-inv`
4×	`associate-/r*` `insert-posit16` `add-log-exp`
3×	`pow2` `associate-/l*`
2×	`pow3` `*-commutative`
1×	`cbrt-prod` `clear-num` `frac-2neg` `pow1/3` `rem-cbrt-cube`

Counts

4 → 310

Calls

4 calls:

5.0ms	(/ 1 (log base))
30.0ms	(* (/ 1 (log base)) (/ 1 (log base)))
63.0ms	(* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))
48.0ms	(cbrt (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))

series894.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(/ 1 (log base))
213.0ms	(* (/ 1 (log base)) (/ 1 (log base)))
305.0ms	(* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))
193.0ms	(cbrt (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))

simplify2.2s

Counts

322 → 322

Iterations

Iter	Nodes
done	5030
3	3325
2	1428
1	721
0	287

prune607.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes472.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.5s	8000×	body	80	valid
1.3s	8083×	body	80	nan