Details

sample144.0ms

Algorithm

intervals

Results

70.0ms	256×	body	80	valid
52.0ms	207×	body	80	nan

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	1149
6	401
5	177
4	115
3	68
2	33
1	26
0	18

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:

10.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify3.6s

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
4	1956
3	675
2	277
1	109
0	63

prune166.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
63×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
21×	`pow1`
18×	`log-pow`
15×	`add-exp-log`
13×	`associate-/l*`
10×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv`
4×	`cbrt-undiv` `clear-num`
3×	`frac-2neg` `remove-double-div`
2×	`rec-exp` `1-exp` `insert-posit16` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 133

Calls

2 calls:

12.0ms	(/ 1 (/ (log base) (atan2 im re)))
7.0ms	(/ (log base) (atan2 im re))

series142.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ 1 (/ (log base) (atan2 im re)))
82.0ms	(/ (log base) (atan2 im re))

simplify2.2s

Counts

139 → 139

Iterations

Iter	Nodes
done	5001
3	2558
2	898
1	389
0	169

prune446.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
26×	`times-frac`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
16×	`associate-l`
15×	`add-exp-log`
13×	`pow1`
10×	`associate-*l/`
9×	`add-cbrt-cube`
8×	`associate-/r*` `log-pow`
6×	`associate-/l*`
4×	`div-exp` `prod-exp`
3×	`associate-r` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

2 → 84

Calls

2 calls:

42.0ms	(* (/ 1 (log base)) (atan2 im re))
11.0ms	(/ 1 (log base))

series280.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* (/ 1 (log base)) (atan2 im re))
222.0ms	(/ 1 (log base))

simplify3.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
4	2709
3	1261
2	583
1	240
0	108

prune427.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (atan2 im re))
0.2b	(/ 1 (* (log base) (/ 1 (atan2 im re))))
0.4b	(* (log base) (/ 1 (atan2 im re)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

139×	`times-frac`
120×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
85×	`add-cube-cbrt`
65×	`associate-r`
51×	`add-exp-log`
34×	`associate-/r*`
20×	`div-exp` `associate-l`
19×	`add-cbrt-cube`
18×	`associate-*r/`
16×	`prod-exp`
15×	`unswap-sqr`
14×	`pow1` `associate-/l*`
12×	`associate-/r/`
10×	`rec-exp` `1-exp`
7×	`div-inv`
6×	`cbrt-undiv` `clear-num` `un-div-inv`
5×	`log-pow` `*-commutative`
4×	`frac-2neg` `cbrt-unprod`
3×	`insert-posit16` `pow-flip` `add-log-exp`
2×	`pow-prod-down` `inv-pow`

Counts

3 → 227

Calls

3 calls:

5.0ms	(/ 1 (atan2 im re))
57.0ms	(/ 1 (* (log base) (/ 1 (atan2 im re))))
32.0ms	(* (log base) (/ 1 (atan2 im re)))

series158.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/ 1 (atan2 im re))
78.0ms	(/ 1 (* (log base) (/ 1 (atan2 im re))))
70.0ms	(* (log base) (/ 1 (atan2 im re)))

simplify3.0s

Counts

236 → 236

Iterations

Iter	Nodes
done	5001
3	3960
2	1369
1	673
0	252

prune690.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes272.0ms

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

sample5.3s

Algorithm

intervals

Results

2.4s	8000×	body	80	valid
2.3s	7974×	body	80	nan