Details

sample32.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	13
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

7.0ms

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

series256.0ms

Counts

1 → 3

Calls

1 calls:

256.0ms

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

simplify1.2s

Counts

42 → 42

Iterations

Iter	Nodes
done	2000
5	2000
4	1903
3	686
2	283
1	118
0	67

prune248.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (/ (log 10) (log (hypot re im))))
0.6b	(/ (log 10) (log (hypot re im)))

rewrite32.0ms

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:

15.0ms	(/ 1 (/ (log 10) (log (hypot re im))))
13.0ms	(/ (log 10) (log (hypot re im)))

series424.0ms

Counts

2 → 6

Calls

2 calls:

207.0ms	(/ 1 (/ (log 10) (log (hypot re im))))
217.0ms	(/ (log 10) (log (hypot re im)))

simplify1.1s

Counts

152 → 152

Iterations

Iter	Nodes
done	2001
3	2001
2	827
1	396
0	172

prune549.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (/ 1 (sqrt (log 10))) (/ (sqrt (log 10)) (log (hypot re im))))
0.4b	(/ (sqrt (log 10)) (log (hypot re im)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

2249×	`times-frac`
898×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
832×	`sqrt-prod`
400×	`pow1`
398×	`log-pow`
61×	`div-inv`
36×	`associate-/r*`
32×	`associate-/l*`
26×	`add-exp-log`
17×	`div-exp`
16×	`add-cbrt-cube`
9×	`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/` `associate-/l/`

Counts

2 → 938

Calls

2 calls:

27.0ms	(/ (/ 1 (sqrt (log 10))) (/ (sqrt (log 10)) (log (hypot re im))))
13.0ms	(/ (sqrt (log 10)) (log (hypot re im)))

series533.0ms

Counts

2 → 6

Calls

2 calls:

239.0ms	(/ (/ 1 (sqrt (log 10))) (/ (sqrt (log 10)) (log (hypot re im))))
294.0ms	(/ (sqrt (log 10)) (log (hypot re im)))

simplify1.3s

Counts

944 → 944

Iterations

Iter	Nodes
done	2000
1	2000
0	731

prune2.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (/ 1 (sqrt (log 10))) (/ (sqrt (log 10)) (log (hypot re im))))
0.4b	(/ (sqrt (log 10)) (log (hypot re im)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

2249×	`times-frac`
898×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
832×	`sqrt-prod`
400×	`pow1`
398×	`log-pow`
61×	`div-inv`
36×	`associate-/r*`
32×	`associate-/l*`
26×	`add-exp-log`
17×	`div-exp`
16×	`add-cbrt-cube`
9×	`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/` `associate-/l/`

Counts

2 → 938

Calls

2 calls:

14.0ms	(/ (/ 1 (sqrt (log 10))) (/ (sqrt (log 10)) (log (hypot re im))))
6.0ms	(/ (sqrt (log 10)) (log (hypot re im)))

series487.0ms

Counts

2 → 6

Calls

2 calls:

175.0ms	(/ (/ 1 (sqrt (log 10))) (/ (sqrt (log 10)) (log (hypot re im))))
312.0ms	(/ (sqrt (log 10)) (log (hypot re im)))

simplify1.4s

Counts

944 → 944

Iterations

Iter	Nodes
done	2000
1	2000
0	731

prune3.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.5s

8000×

body

valid