Details

sample56.0ms

Algorithm

intervals

Results

17.0ms	250×	body	80	nan
17.0ms	256×	body	80	valid

simplify57.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	28
1	27	28
2	44	28
3	56	28
4	74	28
5	78	28
done	78	28

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize23.0ms

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)))
0.3b	(* (atan2 im re) (log base))
0.5b	(* (log base) (log base))
29.6b	(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-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:

29.0ms	(/ (- (* (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))
10.0ms	(* (log base) (log base))
8.0ms	(sqrt (+ (* re re) (* im im)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
31.0ms	(* (atan2 im re) (log base))
153.0ms	(* (log base) (log base))
37.0ms	(sqrt (+ (* re re) (* im im)))

simplify2.8s

Counts

120 → 120

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	194	2236
1	441	2040
2	1395	1850
3	4937	1817
done	5000	1817

prune647.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`associate-/r*` `log-pow`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

5.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify1.8s

Counts

34 → 34

Iterations

Useful iterations: 4 (213.0ms)

Iter	Nodes	Cost
0	62	380
1	103	361
2	210	337
3	388	334
4	672	330
5	2100	330
done	5000	330

prune101.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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×	`div-exp` `prod-exp` `associate-/r*`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 74

Calls

2 calls:

6.0ms	(/ 1 (log base))
18.0ms	(* (atan2 im re) (/ 1 (log base)))

series185.0ms

Counts

2 → 6

Calls

2 calls:

151.0ms	(/ 1 (log base))
34.0ms	(* (atan2 im re) (/ 1 (log base)))

simplify2.5s

Counts

80 → 80

Iterations

Useful iterations: 4 (836.0ms)

Iter	Nodes	Cost
0	100	761
1	197	590
2	429	522
3	869	516
4	1646	510
done	5000	510

prune140.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (log base))
0.3b	(* (atan2 im re) (cbrt (pow (/ 1 (log base)) 3)))
0.6b	(cbrt (pow (/ 1 (log base)) 3))
0.7b	(pow (/ 1 (log base)) 3)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

88×	`times-frac`
85×	`add-sqr-sqrt`
84×	`cbrt-prod`
68×	`*-un-lft-identity`
66×	`add-cube-cbrt`
51×	`unpow-prod-down` `cube-prod`
41×	`associate-r`
31×	`pow1`
22×	`log-pow`
15×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`unswap-sqr`
7×	`div-inv`
4×	`div-exp` `pow-exp` `associate-/r*` `add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `pow-pow` `unpow3` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `cbrt-div` `pow-flip` `1-exp` `inv-pow` `rem-cube-cbrt`
1×	`pow-to-exp` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 204

Calls

4 calls:

6.0ms	(/ 1 (log base))
40.0ms	(* (atan2 im re) (cbrt (pow (/ 1 (log base)) 3)))
6.0ms	(cbrt (pow (/ 1 (log base)) 3))
8.0ms	(pow (/ 1 (log base)) 3)

series516.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(/ 1 (log base))
37.0ms	(* (atan2 im re) (cbrt (pow (/ 1 (log base)) 3)))
145.0ms	(cbrt (pow (/ 1 (log base)) 3))
182.0ms	(pow (/ 1 (log base)) 3)

simplify1.0s

Counts

216 → 216

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	188	2734
1	391	1834
2	943	1634
done	5000	1600

prune250.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

regimes265.0ms

Accuracy

0% (0.3b 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	8	8
1	11	8
done	11	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

556.0ms	8023×	body	80	nan
542.0ms	8000×	body	80	valid