Details

sample114.0ms

Algorithm

intervals

Results

56.0ms	265×	body	80	nan
35.0ms	256×	body	80	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1130
6	438
5	190
4	132
3	86
2	48
1	31
0	18

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

5.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify2.1s

Counts

37 → 37

Iterations

Iter	Nodes
done	5001
4	1860
3	649
2	274
1	111
0	65

prune217.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 125

Calls

2 calls:

12.0ms	(/ 1 (/ (log base) (atan2 im re)))
11.0ms	(/ (log base) (atan2 im re))

series131.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ 1 (/ (log base) (atan2 im re)))
65.0ms	(/ (log base) (atan2 im re))

simplify1.7s

Counts

131 → 131

Iterations

Iter	Nodes
done	5008
3	2518
2	1046
1	384
0	168

prune373.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `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 → 80

Calls

2 calls:

5.0ms	(/ 1 (log base))
12.0ms	(* (atan2 im re) (/ 1 (log base)))

series246.0ms

Counts

2 → 6

Calls

2 calls:

206.0ms	(/ 1 (log base))
41.0ms	(* (atan2 im re) (/ 1 (log base)))

simplify2.8s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
4	2856
3	1326
2	666
1	224
0	106

prune244.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (atan2 im re))
0.3b	(/ 1 (* (log base) (/ 1 (atan2 im re))))
0.4b	(* (log base) (/ 1 (atan2 im re)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
28×	`add-sqr-sqrt`
23×	`times-frac`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`div-exp`
19×	`add-cbrt-cube`
16×	`prod-exp`
13×	`associate-r`
10×	`pow1` `rec-exp` `1-exp`
6×	`cbrt-undiv` `associate-/l*`
4×	`associate-/r` `associate-l*` `cbrt-unprod`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `pow-flip` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*r/` `associate-/r/` `un-div-inv` `inv-pow`
1×	`log-pow` `*-commutative`

Counts

3 → 117

Calls

3 calls:

6.0ms	(/ 1 (atan2 im re))
16.0ms	(/ 1 (* (log base) (/ 1 (atan2 im re))))
11.0ms	(* (log base) (/ 1 (atan2 im re)))

series127.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/ 1 (atan2 im re))
60.0ms	(/ 1 (* (log base) (/ 1 (atan2 im re))))
58.0ms	(* (log base) (/ 1 (atan2 im re)))

simplify2.8s

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
3	2208
2	876
1	341
0	148

prune343.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0b

regimes477.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.4s	8000×	body	80	valid
1.3s	7972×	body	80	nan