Details

sample56.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
18.0ms	217×	body	80	nan

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	44	16
2	56	16
3	74	16
4	80	16
5	80	16
done	80	16

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (atan2 im re) (log base))
0.3b	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
0.5b	(* (log base) (log base))
28.1b	(sqrt (+ (* re re) (* im im)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`pow1`
12×	`log-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac`
8×	`associate-r`
7×	`associate-l` `log-pow`
6×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr`
4×	`add-log-exp`
3×	`associate-/r` `sqrt-prod` `associate-/l`
2×	`flip3-+` `sqrt-div` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `pow2` `rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow-plus` `pow1/2` `div-sub` `div-exp` `clear-num` `pow-sqr` `pow-prod-up` `flip--` `div-inv`

Counts

4 → 108

Calls

4 calls:

8.0ms	(* (atan2 im re) (log base))
31.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
9.0ms	(* (log base) (log base))
7.0ms	(sqrt (+ (* re re) (* im im)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (atan2 im re) (log base))
42.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
152.0ms	(* (log base) (log base))
38.0ms	(sqrt (+ (* re re) (* im im)))

simplify56.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	444	1213
1	1816	1100
2	5001	1070
done	5001	1070

prune422.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(log (/ 1 base))
0.3b	(/ (atan2 im re) (log (/ 1 base)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

27×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`log-pow`
13×	`log-prod`
12×	`pow1`
9×	`add-exp-log`
6×	`associate-/r*`
5×	`pow-flip` `inv-pow`
4×	`rem-log-exp` `add-cbrt-cube`
3×	`div-exp` `associate-/l*`
2×	`div-inv` `add-log-exp`
1×	`cbrt-undiv` `log-div` `rec-exp` `frac-2neg` `1-exp` `log-rec` `clear-num`

Counts

2 → 68

Calls

2 calls:

3.0ms	(log (/ 1 base))
6.0ms	(/ (atan2 im re) (log (/ 1 base)))

series152.0ms

Counts

2 → 6

Calls

2 calls:

115.0ms	(log (/ 1 base))
37.0ms	(/ (atan2 im re) (log (/ 1 base)))

simplify110.0ms

Counts

74 → 74

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	197	433
1	536	402
2	1518	386
3	3905	369
4	5001	369
done	5001	369

prune161.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (/ 1 base))
0.2b	(/ 1 (/ (log (/ 1 base)) (atan2 im re)))
0.3b	(/ (log (/ 1 base)) (atan2 im re))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

165×	`times-frac`
84×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
51×	`log-pow`
38×	`pow1`
25×	`associate-/r*`
21×	`add-exp-log`
18×	`pow-flip` `inv-pow`
13×	`log-prod`
10×	`div-exp` `add-cbrt-cube`
9×	`associate-/l*`
7×	`div-inv`
4×	`cbrt-undiv` `rem-log-exp`
3×	`rec-exp` `1-exp` `add-log-exp`
2×	`log-div` `frac-2neg` `log-rec` `clear-num`
1×	`div-sub` `distribute-frac-neg` `associate-/r/`

Counts

3 → 182

Calls

3 calls:

3.0ms	(log (/ 1 base))
12.0ms	(/ 1 (/ (log (/ 1 base)) (atan2 im re)))
10.0ms	(/ (log (/ 1 base)) (atan2 im re))

series215.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(log (/ 1 base))
48.0ms	(/ 1 (/ (log (/ 1 base)) (atan2 im re)))
46.0ms	(/ (log (/ 1 base)) (atan2 im re))

simplify47.0ms

Counts

191 → 191

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	495	1582
1	1995	1392
2	5002	1240
done	5002	1240

prune292.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (atan2 im re) (+ (* 2 (log (cbrt (/ 1 base)))) (log (cbrt (/ 1 base)))))
0.3b	(+ (* 2 (log (cbrt (/ 1 base)))) (log (cbrt (/ 1 base))))
0.6b	(cbrt (/ 1 base))
0.6b	(cbrt (/ 1 base))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

65×	`cbrt-prod`
63×	`times-frac`
58×	`*-un-lft-identity`
53×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`log-prod`
32×	`associate-+l+`
16×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
10×	`distribute-rgt-out`
9×	`pow1`
6×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `div-inv`
5×	`distribute-lft1-in` `log-pow` `add-log-exp`
3×	`cbrt-div` `associate-/l*`
2×	`flip3-+` `pow1/3` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `log-div` `frac-2neg` `div-exp` `clear-num` `sum-log`

Counts

4 → 148

Calls

4 calls:

15.0ms	(/ (atan2 im re) (+ (* 2 (log (cbrt (/ 1 base)))) (log (cbrt (/ 1 base)))))
22.0ms	(+ (* 2 (log (cbrt (/ 1 base)))) (log (cbrt (/ 1 base))))
2.0ms	(cbrt (/ 1 base))
2.0ms	(cbrt (/ 1 base))

series700.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (atan2 im re) (+ (* 2 (log (cbrt (/ 1 base)))) (log (cbrt (/ 1 base)))))
264.0ms	(+ (* 2 (log (cbrt (/ 1 base)))) (log (cbrt (/ 1 base))))
172.0ms	(cbrt (/ 1 base))
171.0ms	(cbrt (/ 1 base))

simplify48.0ms

Counts

160 → 160

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	399	1452
1	1135	1288
2	5001	1146
done	5001	1146

prune516.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes213.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	17
1	28	17
2	28	17
done	28	17

end0.0ms

sample1.6s

Algorithm

intervals

Results

547.0ms	7931×	body	80	nan
542.0ms	8000×	body	80	valid