Details

sample149.0ms

Algorithm

intervals

Results

63.0ms	256×	body	80	valid
61.0ms	249×	body	80	nan

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	2259
8	2259
7	1149
6	401
5	177
4	115
3	68
2	33
1	26
0	18

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:

7.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify1.4s

Counts

35 → 35

Iterations

Iter	Nodes
done	2004
5	2004
4	1956
3	675
2	277
1	109
0	63

prune176.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:

6.0ms	(/ 1 (log base))
16.0ms	(* (atan2 im re) (/ 1 (log base)))

series278.0ms

Counts

2 → 6

Calls

2 calls:

231.0ms	(/ 1 (log base))
47.0ms	(* (atan2 im re) (/ 1 (log base)))

simplify1.2s

Counts

82 → 82

Iterations

Iter	Nodes
done	2023
4	2023
3	1299
2	662
1	220
0	102

prune313.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

120×	`times-frac`
83×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
73×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
24×	`neg-mul-1`
23×	`pow1`
22×	`log-pow`
12×	`associate-/r*`
10×	`associate-/l*`
3×	`add-cbrt-cube` `add-exp-log`
1×	`neg-sub0` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `distribute-frac-neg` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 157

Calls

1 calls:

7.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify884.0ms

Counts

160 → 160

Iterations

Iter	Nodes
done	2001
3	2001
2	1007
1	448
0	208

prune610.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

295×	`add-exp-log`
149×	`prod-exp`
114×	`div-exp`
86×	`times-frac`
80×	`add-sqr-sqrt`
77×	`pow1`
65×	`*-un-lft-identity`
58×	`add-cbrt-cube`
57×	`rec-exp` `1-exp`
50×	`add-cube-cbrt`
35×	`associate-l`
30×	`pow-prod-up`
29×	`pow-flip` `inv-pow`
28×	`associate-*r/`
24×	`swap-sqr`
23×	`cbrt-unprod`
21×	`associate-r` `log-pow`
19×	`frac-times`
18×	`cbrt-div`
17×	`cbrt-undiv`
13×	`unswap-sqr`
11×	`pow-prod-down`
10×	`associate-*l/`
8×	`pow-sqr`
7×	`un-div-inv` `div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-prod` `pow2` `pow-plus` `cube-unmult`
1×	`pow1/3` `rem-cbrt-cube`

Counts

4 → 297

Calls

4 calls:

36.0ms	(* (/ 1 (log base)) (* (/ 1 (log base)) (/ 1 (log base))))
16.0ms	(* (atan2 im re) (cbrt (* (/ 1 (log base)) (* (/ 1 (log base)) (/ 1 (log base))))))
25.0ms	(* (/ 1 (log base)) (/ 1 (log base)))
42.0ms	(cbrt (* (/ 1 (log base)) (* (/ 1 (log base)) (/ 1 (log base)))))

series760.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (/ 1 (log base)) (* (/ 1 (log base)) (/ 1 (log base))))
40.0ms	(* (atan2 im re) (cbrt (* (/ 1 (log base)) (* (/ 1 (log base)) (/ 1 (log base))))))
243.0ms	(* (/ 1 (log base)) (/ 1 (log base)))
251.0ms	(cbrt (* (/ 1 (log base)) (* (/ 1 (log base)) (/ 1 (log base)))))

simplify1.4s

Counts

309 → 309

Iterations

Iter	Nodes
done	2011
3	2011
2	1780
1	898
0	324

prune665.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

regimes520.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.6s	8000×	body	80	valid
2.1s	8156×	body	80	nan