Details

sample117.0ms

Algorithm

intervals

Results

45.0ms	256×	body	80	valid
43.0ms	270×	body	80	nan

simplify4.0s

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))

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

Counts

1 → 32

Calls

1 calls:

4.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify3.1s

Counts

35 → 35

Iterations

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

prune171.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

4.0ms	(/ 1 (log base))
9.0ms	(* (atan2 im re) (/ 1 (log base)))

series234.0ms

Counts

2 → 6

Calls

2 calls:

200.0ms	(/ 1 (log base))
34.0ms	(* (atan2 im re) (/ 1 (log base)))

simplify3.3s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
4	2584
3	1299
2	662
1	220
0	102

prune254.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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:

12.0ms	(/ (log base) (atan2 im re))
10.0ms	(/ 1 (/ (log base) (atan2 im re)))

series126.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (log base) (atan2 im re))
65.0ms	(/ 1 (/ (log base) (atan2 im re)))

simplify2.1s

Counts

127 → 127

Iterations

Iter	Nodes
done	5130
3	3034
2	1049
1	383
0	164

prune406.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (atan2 im re) (cbrt (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))))
0.4b	(* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))
0.5b	(* (/ 1 (log base)) (/ 1 (log base)))
0.6b	(cbrt (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

295×	`add-exp-log`
149×	`prod-exp`
114×	`div-exp`
86×	`times-frac`
82×	`pow1`
80×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
58×	`add-cbrt-cube`
57×	`rec-exp` `1-exp`
50×	`add-cube-cbrt`
36×	`associate-r`
31×	`pow-prod-up`
29×	`pow-flip` `inv-pow`
24×	`swap-sqr`
23×	`cbrt-unprod`
21×	`log-pow`
20×	`cbrt-div` `associate-l` `associate-*r/`
19×	`frac-times` `associate-*l/`
17×	`cbrt-undiv`
13×	`unswap-sqr`
11×	`pow-prod-down`
10×	`un-div-inv`
9×	`pow-sqr`
7×	`pow-plus` `div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`pow2` `*-commutative`
2×	`cbrt-prod` `pow3`
1×	`pow1/3` `rem-cbrt-cube`

Counts

4 → 304

Calls

4 calls:

15.0ms	(* (atan2 im re) (cbrt (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))))
52.0ms	(* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))
26.0ms	(* (/ 1 (log base)) (/ 1 (log base)))
41.0ms	(cbrt (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))

series722.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (atan2 im re) (cbrt (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))))
279.0ms	(* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))
194.0ms	(* (/ 1 (log base)) (/ 1 (log base)))
214.0ms	(cbrt (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))

simplify2.7s

Counts

316 → 316

Iterations

Iter	Nodes
done	5007
3	4011
2	1735
1	852
0	319

prune676.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes392.0ms

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

sample3.5s

Algorithm

intervals

Results

1.5s	7673×	body	80	nan
1.5s	8000×	body	80	valid