Details

sample1.3s

Algorithm

intervals

Results

1.0s	295×	body	10240	exit
134.0ms	520×	body	80	nan
63.0ms	256×	body	80	valid

simplify649.0ms

Counts: 1 → 1

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`times-frac`
11×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
10×	`log-pow`
4×	`associate-/r` `associate-/l`
3×	`add-cbrt-cube` `add-exp-log`
1×	`expm1-log1p-u` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

Slowest

9.0ms

(/ (log (hypot re im)) (log base))

series127.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

127.0ms

(/ (log (hypot re im)) (log base))

simplify481.0ms

Counts: 59 → 42

prune491.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ (log base) (log (hypot re im)))
0.2b	(/ 1 (/ (log base) (log (hypot re im))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

140×	`times-frac`
69×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
45×	`pow1`
42×	`log-pow`
24×	`associate-/r*`
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 → 146

Calls

2 calls:

Slowest

10.0ms	(/ (log base) (log (hypot re im)))
7.0ms	(/ 1 (/ (log base) (log (hypot re im))))

series443.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

240.0ms	(/ (log base) (log (hypot re im)))
203.0ms	(/ 1 (/ (log base) (log (hypot re im))))

simplify480.0ms

Counts: 229 → 152

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(exp (/ (log base) (log (hypot re im))))
0.4b	(/ (log base) (log (hypot re im)))
0.4b	(log (exp (/ (log base) (log (hypot re im)))))
0.2b	(/ 1 (log (exp (/ (log base) (log (hypot re im))))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

187×	`times-frac`
168×	`log-pow`
120×	`exp-prod`
99×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
68×	`pow1`
29×	`associate-/r*`
14×	`div-inv`
10×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`associate-/l*`
6×	`exp-to-pow`
5×	`add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`log-prod` `div-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg`
1×	`rec-exp` `1-exp` `rem-log-exp` `pow-flip` `inv-pow` `rem-exp-log`

Counts

4 → 229

Calls

4 calls:

Slowest

18.0ms	(/ (log base) (log (hypot re im)))
11.0ms	(/ 1 (log (exp (/ (log base) (log (hypot re im))))))
11.0ms	(exp (/ (log base) (log (hypot re im))))
7.0ms	(log (exp (/ (log base) (log (hypot re im)))))

series761.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

258.0ms	(exp (/ (log base) (log (hypot re im))))
171.0ms	(/ (log base) (log (hypot re im)))
167.0ms	(/ 1 (log (exp (/ (log base) (log (hypot re im))))))
165.0ms	(log (exp (/ (log base) (log (hypot re im)))))

simplify583.0ms

Counts: 333 → 241

prune2.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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`
13×	`pow1`
9×	`add-cbrt-cube`
8×	`log-pow`
4×	`associate-/r` `div-exp` `associate-l*` `prod-exp`
3×	`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 → 81

Calls

2 calls:

Slowest

19.0ms	(* (log (hypot re im)) (/ 1 (log base)))
4.0ms	(/ 1 (log base))

series338.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

216.0ms	(/ 1 (log base))
122.0ms	(* (log (hypot re im)) (/ 1 (log base)))

simplify651.0ms

Counts: 100 → 87

prune759.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes424.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample36.4s

Algorithm

intervals

Results

27.6s	8162×	body	10240	exit
4.7s	15928×	body	80	nan
3.1s	8000×	body	80	valid