Details

sample154.0ms

Algorithm

intervals

Results

70.0ms	254×	body	80	nan
60.0ms	256×	body	80	valid

simplify1.8m

Counts

1 → 1

Iterations

Iter	Nodes
8	16015
7	1249
6	479
5	207
4	123
3	83
2	47
1	31
0	18

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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:

5.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify782.0ms

Counts

37 → 37

Iterations

Iter	Nodes
4	2093
3	631
2	273
1	110
0	65

prune344.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (/ (log base) (atan2 im re)))
0.3b	(/ (log base) (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×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 125

Calls

2 calls:

14.0ms	(/ 1 (/ (log base) (atan2 im re)))
13.0ms	(/ (log base) (atan2 im re))

series146.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ 1 (/ (log base) (atan2 im re)))
76.0ms	(/ (log base) (atan2 im re))

simplify10.8s

Counts

131 → 131

Iterations

Iter	Nodes
3	3060
2	1003
1	381
0	168

prune1.4s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`times-frac`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt`
16×	`associate-l`
15×	`add-exp-log`
12×	`pow1`
9×	`add-cbrt-cube`
7×	`log-pow`
4×	`associate-/r*` `div-exp` `prod-exp`
3×	`associate-r` `associate-/l*` `unswap-sqr`
2×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 79

Calls

2 calls:

24.0ms	(* (/ 1 (log base)) (atan2 im re))
14.0ms	(/ 1 (log base))

series272.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* (/ 1 (log base)) (atan2 im re))
214.0ms	(/ 1 (log base))

simplify2.4s

Counts

85 → 85

Iterations

Iter	Nodes
4	2022
3	1100
2	495
1	225
0	107

prune908.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (/ 1 (* (log base) (log base))) (log base))) (atan2 im re))
0.4b	(/ (/ 1 (* (log base) (log base))) (log base))
0.5b	(* (log base) (log base))
0.7b	(cbrt (/ (/ 1 (* (log base) (log base))) (log base)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
76×	`add-sqr-sqrt`
68×	`cbrt-prod`
65×	`*-un-lft-identity`
62×	`add-cube-cbrt`
50×	`pow1`
39×	`associate-l`
28×	`log-pow`
27×	`add-exp-log`
16×	`add-cbrt-cube` `div-inv`
11×	`div-exp`
7×	`associate-r` `associate-/l*`
6×	`log-prod` `swap-sqr` `unswap-sqr`
5×	`cbrt-undiv` `prod-exp`
4×	`expm1-log1p-u` `associate-/r*` `insert-posit16` `log1p-expm1-u` `pow-flip` `add-log-exp` `pow-div`
3×	`distribute-rgt-in` `distribute-lft-in` `cbrt-unprod`
2×	`pow2` `rec-exp` `cbrt-div` `pow-plus` `1-exp` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`clear-num` `frac-2neg` `pow1/3` `associate-*l/` `associate-/l/`

Counts

4 → 208

Calls

4 calls:

31.0ms	(* (cbrt (/ (/ 1 (* (log base) (log base))) (log base))) (atan2 im re))
31.0ms	(/ (/ 1 (* (log base) (log base))) (log base))
16.0ms	(* (log base) (log base))
14.0ms	(cbrt (/ (/ 1 (* (log base) (log base))) (log base)))

series796.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (cbrt (/ (/ 1 (* (log base) (log base))) (log base))) (atan2 im re))
289.0ms	(/ (/ 1 (* (log base) (log base))) (log base))
227.0ms	(* (log base) (log base))
219.0ms	(cbrt (/ (/ 1 (* (log base) (log base))) (log base)))

simplify3.7s

Counts

220 → 220

Iterations

Iter	Nodes
3	4004
2	1212
1	528
0	260

prune2.9s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0b

regimes356.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	8
0	8

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.6s	8000×	body	80	valid
2.1s	7915×	body	80	nan