Details

sample86.0ms

Algorithm

intervals

Results

35.0ms	270×	body	80	nan
28.0ms	256×	body	80	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1130
6	438
5	190
4	132
3	86
2	48
1	31
0	18

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

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))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify1.9s

Counts

37 → 37

Iterations

Iter	Nodes
done	5001
4	1860
3	649
2	274
1	111
0	65

prune169.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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×	`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-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 80

Calls

2 calls:

6.0ms	(/ 1 (log base))
15.0ms	(* (atan2 im re) (/ 1 (log base)))

series282.0ms

Counts

2 → 6

Calls

2 calls:

229.0ms	(/ 1 (log base))
53.0ms	(* (atan2 im re) (/ 1 (log base)))

simplify3.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
4	2856
3	1326
2	666
1	224
0	106

prune230.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (log base) (atan2 im re))
0.4b	(/ 1 (/ (log base) (atan2 im re)))

rewrite19.0ms

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:

7.0ms	(/ (log base) (atan2 im re))
10.0ms	(/ 1 (/ (log base) (atan2 im re)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (log base) (atan2 im re))
55.0ms	(/ 1 (/ (log base) (atan2 im re)))

simplify2.4s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
3	2934
2	1054
1	384
0	168

prune392.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (atan2 im re) (cbrt (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))))
0.4b	(* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))
0.5b	(* (/ 1 (log base)) (/ 1 (log base)))
0.6b	(cbrt (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

295×	`add-exp-log`
149×	`prod-exp`
114×	`div-exp`
86×	`times-frac`
82×	`pow1`
80×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
58×	`add-cbrt-cube`
57×	`rec-exp` `1-exp`
50×	`add-cube-cbrt`
36×	`associate-r`
31×	`pow-prod-up`
29×	`pow-flip` `inv-pow`
24×	`swap-sqr`
23×	`cbrt-unprod`
21×	`log-pow`
20×	`cbrt-div` `associate-l` `associate-*r/`
19×	`frac-times` `associate-*l/`
17×	`cbrt-undiv`
13×	`unswap-sqr`
11×	`pow-prod-down`
10×	`un-div-inv`
9×	`pow-sqr`
7×	`pow-plus` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `*-commutative`
2×	`cbrt-prod` `pow3`
1×	`pow1/3` `rem-cbrt-cube`

Counts

4 → 312

Calls

4 calls:

11.0ms	(* (atan2 im re) (cbrt (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))))
41.0ms	(* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))
18.0ms	(* (/ 1 (log base)) (/ 1 (log base)))
33.0ms	(cbrt (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))

series695.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (atan2 im re) (cbrt (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))))
212.0ms	(* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))
221.0ms	(* (/ 1 (log base)) (/ 1 (log base)))
210.0ms	(cbrt (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))

simplify2.4s

Counts

324 → 324

Iterations

Iter	Nodes
done	5116
3	3651
2	1613
1	812
0	327

prune888.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes408.0ms

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

sample3.5s

Algorithm

intervals

Results

1.8s	7673×	body	80	nan
1.2s	8000×	body	80	valid