Details

sample35.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify20.0ms

Calls

1 calls:

Slowest

20.0ms

(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize24.0ms

Local error

Found 1 expressions with local error:

0.6b	(/ (log (hypot re im)) (log 10))

rewrite17.0ms

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`

Calls

1 calls:

Slowest

15.0ms

(/ (log (hypot re im)) (log 10))

series235.0ms

Calls

1 calls:

Slowest

234.0ms

(/ (log (hypot re im)) (log 10))

simplify1.0s

Calls

43 calls:

Slowest

396.0ms	(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log 10) (log 10)) (log 10)))
135.0ms	(* -1 (/ (log (/ 1 re)) (log 10)))
90.0ms	(* -1 (/ (log (/ -1 re)) (log 10)))
57.0ms	(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log 10)) (cbrt (log 10))))
28.0ms	(/ (sqrt (log (hypot re im))) (* (cbrt (log 10)) (cbrt (log 10))))

prune386.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ (log 10) (log (hypot re im)))
0.3b	(/ 1 (/ (log 10) (log (hypot re im))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

140×	`times-frac`
72×	`*-un-lft-identity`
71×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`pow1`
45×	`log-pow`
28×	`associate-/r*`
15×	`add-exp-log`
13×	`associate-/l*`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv`
4×	`cbrt-undiv` `clear-num`
3×	`frac-2neg` `remove-double-div`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow`

Calls

2 calls:

Slowest

17.0ms	(/ 1 (/ (log 10) (log (hypot re im))))
12.0ms	(/ (log 10) (log (hypot re im)))

series378.0ms

Calls

2 calls:

Slowest

193.0ms	(/ (log 10) (log (hypot re im)))
184.0ms	(/ 1 (/ (log 10) (log (hypot re im))))

simplify9.0s

Calls

209 calls:

Slowest

507.0ms	(/ (* (* (log 10) (log 10)) (log 10)) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
469.0ms	(/ (* (* 1 1) 1) (* (* (/ (log 10) (log (hypot re im))) (/ (log 10) (log (hypot re im)))) (/ (log 10) (log (hypot re im)))))
399.0ms	(/ (sqrt 1) (/ (* (cbrt (log 10)) (cbrt (log 10))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im))))))
302.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (log 10)) (cbrt (log 10))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im))))))
182.0ms	(/ (* (* 1 1) 1) (/ (* (* (log 10) (log 10)) (log 10)) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im)))))

prune1.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (sqrt (log 10)) (log (hypot re im)))
0.3b	(/ (/ 1 (/ (sqrt (log 10)) 1)) (/ (sqrt (log 10)) (log (hypot re im))))

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

10151×	`times-frac`
3869×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2844×	`sqrt-prod`
1373×	`pow1`
1371×	`log-pow`
443×	`associate-/r/`
340×	`associate-/l*`
228×	`div-inv`
164×	`associate-/r*`
66×	`add-exp-log`
55×	`div-exp`
37×	`clear-num` `frac-2neg`
31×	`associate-/l/`
25×	`add-cbrt-cube`
16×	`cbrt-undiv`
12×	`1-exp`
6×	`rec-exp`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

2 calls:

Slowest

26.0ms	(/ (/ 1 (/ (sqrt (log 10)) 1)) (/ (sqrt (log 10)) (log (hypot re im))))
5.0ms	(/ (sqrt (log 10)) (log (hypot re im)))

series561.0ms

Calls

2 calls:

Slowest

301.0ms	(/ (sqrt (log 10)) (log (hypot re im)))
260.0ms	(/ (/ 1 (/ (sqrt (log 10)) 1)) (/ (sqrt (log 10)) (log (hypot re im))))