Details

sample149.0ms

Algorithm

intervals

Results

71.0ms	284×	body	80	nan
33.0ms	256×	body	80	valid

simplify381.0ms

Counts

1 → 1

Iterations

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

prune43.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize131.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot re im)
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))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `hypot-udef` `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

4 → 77

Calls

4 calls:

1.0ms	(hypot re im)
43.0ms	(/ (- (* (log base) (atan2 im re)) (* (log (hypot re im)) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
17.0ms	(* (log base) (atan2 im re))
1.0ms	(fma (log base) (log base) (* 0.0 0.0))

series1.0s

Counts

4 → 12

Calls

4 calls:

85.0ms	(hypot re im)
328.0ms	(/ (- (* (log base) (atan2 im re)) (* (log (hypot re im)) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
118.0ms	(* (log base) (atan2 im re))
500.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify5.5s

Counts

89 → 89

Iterations

Iter	Nodes
done	5016
3	2509
2	834
1	311
0	141

prune1.8s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

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:

28.0ms

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

series107.0ms

Counts

1 → 3

Calls

1 calls:

107.0ms

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

simplify6.9s

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
4	1869
3	661
2	276
1	111
0	65

prune668.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 2 expressions with local error:

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

rewrite98.0ms

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:

22.0ms	(/ 1 (log base))
64.0ms	(* (atan2 im re) (/ 1 (log base)))

series414.0ms

Counts

2 → 6

Calls

2 calls:

310.0ms	(/ 1 (log base))
103.0ms	(* (atan2 im re) (/ 1 (log base)))

simplify6.3s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
4	2286
3	1438
2	779
1	224
0	106

prune960.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

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×	`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:

33.0ms	(/ (log base) (atan2 im re))
23.0ms	(/ 1 (/ (log base) (atan2 im re)))

series203.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(/ (log base) (atan2 im re))
106.0ms	(/ 1 (/ (log base) (atan2 im re)))

simplify5.4s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
3	2659
2	1078
1	383
0	168

prune1.0s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.9s	8090×	body	80	nan
1.4s	8000×	body	80	valid