Details

sample72.0ms

Algorithm

intervals

Results

28.0ms	304×	body	80	nan
22.0ms	256×	body	80	valid

simplify100.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	78
5	78
4	74
3	56
2	44
1	27
0	18

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.6b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
0.4b	(* (atan2 im re) (log base))
0.6b	(* (log base) (log base))
31.0b	(sqrt (+ (* re re) (* im im)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`pow1`
12×	`log-prod`
10×	`add-cbrt-cube` `add-exp-log`
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-+` `unswap-sqr` `associate-/l/`
1×	`pow2` `cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow-plus` `flip3--` `pow1/2` `div-sub` `div-exp` `pow-sqr` `pow-prod-up` `div-inv` `flip--`

Counts

4 → 108

Calls

4 calls:

23.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
9.0ms	(* (atan2 im re) (log base))
15.0ms	(* (log base) (log base))
11.0ms	(sqrt (+ (* re re) (* im im)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
33.0ms	(* (atan2 im re) (log base))
225.0ms	(* (log base) (log base))
64.0ms	(sqrt (+ (* re re) (* im im)))

simplify2.0s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	1674
1	506
0	194

prune771.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

7.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify3.0s

Counts

34 → 34

Iterations

Iter	Nodes
done	5002
4	2039
3	677
2	276
1	108
0	62

prune212.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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` `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 → 74

Calls

2 calls:

23.0ms	(* (atan2 im re) (/ 1 (log base)))
12.0ms	(/ 1 (log base))

series248.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* (atan2 im re) (/ 1 (log base)))
208.0ms	(/ 1 (log base))

simplify3.0s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
4	2197
3	1339
2	664
1	219
0	100

prune355.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite168.0ms

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*` `add-log-exp`
3×	`pow2` `associate-/l*`
2×	`pow3` `*-commutative`
1×	`cbrt-prod` `clear-num` `frac-2neg` `pow1/3` `rem-cbrt-cube`

Counts

4 → 306

Calls

4 calls:

7.0ms	(/ 1 (log base))
70.0ms	(* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))
23.0ms	(* (/ 1 (log base)) (/ 1 (log base)))
49.0ms	(cbrt (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))

series855.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(/ 1 (log base))
247.0ms	(* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))
218.0ms	(* (/ 1 (log base)) (/ 1 (log base)))
181.0ms	(cbrt (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))

simplify2.3s

Counts

318 → 318

Iterations

Iter	Nodes
done	5001
3	3806
2	1512
1	744
0	283

prune869.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes493.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.0s	8000×	body	80	valid
1.1s	8039×	body	80	nan