Details

sample62.0ms

Algorithm

intervals

Results

33.0ms

256×

body

valid

simplify75.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	13
0	10

prune40.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize82.0ms

Local error

Found 2 expressions with local error:

0.0b	(hypot re im)
0.6b	(/ (log (hypot re im)) (log 10.0))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

3.0ms	(hypot re im)
46.0ms	(/ (log (hypot re im)) (log 10.0))

series348.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(hypot re im)
269.0ms	(/ (log (hypot re im)) (log 10.0))

simplify6.6s

Counts

56 → 56

Iterations

Iter	Nodes
done	5010
5	3869
4	1692
3	655
2	301
1	136
0	80

prune773.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize76.0ms

Local error

Found 3 expressions with local error:

0.0b	(hypot re im)
0.2b	(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.5b	(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

99×	`times-frac`
97×	`add-sqr-sqrt`
59×	`sqrt-prod`
57×	`*-un-lft-identity`
51×	`add-cube-cbrt`
32×	`pow1` `associate-r`
27×	`add-exp-log` `log-pow`
25×	`associate-l`
17×	`add-cbrt-cube`
15×	`unswap-sqr`
9×	`div-exp`
8×	`prod-exp`
7×	`associate-/r*`
5×	`cbrt-undiv`
4×	`cbrt-unprod` `associate-/l*`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`rec-exp` `1-exp`
1×	`frac-times` `hypot-udef` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 164

Calls

3 calls:

1.0ms	(hypot re im)
104.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
42.0ms	(/ (log (hypot re im)) (sqrt (log 10.0)))

series1.0s

Counts

3 → 9

Calls

3 calls:

77.0ms	(hypot re im)
530.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
415.0ms	(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify6.1s

Counts

173 → 173

Iterations

Iter	Nodes
done	5000
3	3075
2	1368
1	498
0	191

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 3 expressions with local error:

0.0b	(hypot re im)
0.2b	(* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (/ 1 (sqrt (log 10.0))))
0.3b	(* (/ 1 (sqrt (log 10.0))) (log (hypot re im)))

rewrite296.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-exp-log`
46×	`add-sqr-sqrt` `times-frac`
40×	`prod-exp`
36×	`*-un-lft-identity`
34×	`add-cube-cbrt`
29×	`add-cbrt-cube` `associate-r`
26×	`associate-l` `sqrt-prod`
20×	`div-exp`
17×	`pow1`
12×	`cbrt-unprod`
10×	`rec-exp` `1-exp`
7×	`log-pow`
6×	`cbrt-undiv` `log-prod`
5×	`unswap-sqr`
4×	`pow-prod-down` `associate-*l/`
3×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv`
1×	`frac-times` `hypot-udef` `associate-*r/` `un-div-inv`

Counts

3 → 139

Calls

3 calls:

2.0ms	(hypot re im)
170.0ms	(* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (/ 1 (sqrt (log 10.0))))
99.0ms	(* (/ 1 (sqrt (log 10.0))) (log (hypot re im)))

series799.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(hypot re im)
320.0ms	(* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (/ 1 (sqrt (log 10.0))))
405.0ms	(* (/ 1 (sqrt (log 10.0))) (log (hypot re im)))

simplify7.9s

Counts

148 → 148

Iterations

Iter	Nodes
done	5001
3	2717
2	1306
1	531
0	203

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 2 expressions with local error:

0.0b	(hypot re im)
0.6b	(/ (log (hypot re im)) (log 10.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

1.0ms	(hypot re im)
29.0ms	(/ (log (hypot re im)) (log 10.0))

series392.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(hypot re im)
308.0ms	(/ (log (hypot re im)) (log 10.0))

simplify6.5s

Counts

56 → 56

Iterations

Iter	Nodes
done	5010
5	3869
4	1692
3	655
2	301
1	136
0	80

prune450.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes356.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

904.0ms

8000×

body

valid