Details

sample104.0ms

Algorithm

intervals

Results

48.0ms	256×	body	80	valid
30.0ms	263×	body	80	nan

simplify77.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	91
5	91
4	87
3	67
2	51
1	31
0	18

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize44.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (- (* (log base) (atan2 im re)) (* (log (hypot re im)) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
0.4b	(* (log base) (atan2 im re))
0.5b	(fma (log base) (log base) (* 0.0 0.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`associate-l`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `flip--` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

23.0ms	(/ (- (* (log base) (atan2 im re)) (* (log (hypot re im)) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
7.0ms	(* (log base) (atan2 im re))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))

series579.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(/ (- (* (log base) (atan2 im re)) (* (log (hypot re im)) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
41.0ms	(* (log base) (atan2 im re))
380.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify2.4s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	2308
2	798
1	290
0	125

prune637.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

7.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify4.2s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
5	4930
4	1906
3	668
2	273
1	110
0	64

prune232.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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` `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 → 78

Calls

2 calls:

9.0ms	(/ 1 (log base))
27.0ms	(* (atan2 im re) (/ 1 (log base)))

series280.0ms

Counts

2 → 6

Calls

2 calls:

223.0ms	(/ 1 (log base))
57.0ms	(* (atan2 im re) (/ 1 (log base)))

simplify2.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
4	2472
3	1555
2	763
1	222
0	104

prune336.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (log base) (log base) (* 0.0 0.0))) (cbrt (fma (log base) (log base) (* 0.0 0.0))))
0.5b	(fma (log base) (log base) (* 0.0 0.0))
0.5b	(fma (log base) (log base) (* 0.0 0.0))
0.5b	(fma (log base) (log base) (* 0.0 0.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
6×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`fma-udef`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 72

Calls

4 calls:

11.0ms	(* (cbrt (fma (log base) (log base) (* 0.0 0.0))) (cbrt (fma (log base) (log base) (* 0.0 0.0))))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))
1.0ms	(fma (log base) (log base) (* 0.0 0.0))

series1.7s

Counts

4 → 12

Calls

4 calls:

591.0ms	(* (cbrt (fma (log base) (log base) (* 0.0 0.0))) (cbrt (fma (log base) (log base) (* 0.0 0.0))))
358.0ms	(fma (log base) (log base) (* 0.0 0.0))
389.0ms	(fma (log base) (log base) (* 0.0 0.0))
373.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify2.6s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
4	3116
3	968
2	399
1	173
0	75

prune673.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes543.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.6s	7937×	body	80	nan
1.3s	8000×	body	80	valid