Details

sample146.0ms

Algorithm

intervals

Results

54.0ms	284×	body	80	nan
39.0ms	256×	body	80	valid

simplify376.0ms

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.9b

localize250.0ms

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))
0.5b	(* (log base) (log base))
32.4b	(sqrt (+ (* re re) (* im im)))

rewrite173.0ms

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×	`insert-posit16` `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 → 112

Calls

4 calls:

74.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
18.0ms	(* (atan2 im re) (log base))
40.0ms	(* (log base) (log base))
27.0ms	(sqrt (+ (* re re) (* im im)))

series530.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
67.0ms	(* (atan2 im re) (log base))
291.0ms	(* (log base) (log base))
83.0ms	(sqrt (+ (* re re) (* im im)))

simplify5.8s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	1954
1	511
0	198

prune1.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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:

24.0ms

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

series133.0ms

Counts

1 → 3

Calls

1 calls:

132.0ms

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

simplify5.9s

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
4	1849
3	649
2	272
1	109
0	63

prune550.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 2 expressions with local error:

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

rewrite79.0ms

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:

23.0ms	(/ 1 (log base))
40.0ms	(* (atan2 im re) (/ 1 (log base)))

series397.0ms

Counts

2 → 6

Calls

2 calls:

315.0ms	(/ 1 (log base))
82.0ms	(* (atan2 im re) (/ 1 (log base)))

simplify5.5s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
4	2315
3	1479
2	769
1	220
0	102

prune836.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

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×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `add-log-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 121

Calls

2 calls:

38.0ms	(/ (log base) (atan2 im re))
19.0ms	(/ 1 (/ (log base) (atan2 im re)))

series218.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(/ (log base) (atan2 im re))
117.0ms	(/ 1 (/ (log base) (atan2 im re)))

simplify5.0s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
3	2598
2	1091
1	379
0	164

prune970.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.3s	8090×	body	80	nan
1.6s	8000×	body	80	valid