Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	10	12
1	13	7
2	15	7
done	15	7

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

1.0ms	(hypot re im)
16.0ms	(/ (log (hypot re im)) (log 10.0))

series306.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(hypot re im)
232.0ms	(/ (log (hypot re im)) (log 10.0))

simplify4.7s

Counts

54 → 54

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	78	556
1	129	530
2	240	496
3	427	494
4	798	494
5	1425	494
6	2970	494
done	5000	494

prune235.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(hypot re im)
0.3b	(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.4b	(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite81.0ms

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` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`rec-exp` `1-exp`
1×	`frac-times` `hypot-udef` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 161

Calls

3 calls:

0.0ms	(hypot re im)
56.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
14.0ms	(/ (log (hypot re im)) (sqrt (log 10.0)))

series577.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(hypot re im)
201.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
306.0ms	(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify4.2s

Counts

170 → 170

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	188	2832
1	438	2509
2	1244	2114
3	3196	2110
done	5000	2014

prune570.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 132

Calls

3 calls:

0.0ms	(hypot re im)
25.0ms	(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))
60.0ms	(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))

series553.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(hypot re im)
299.0ms	(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))
201.0ms	(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))

simplify5.2s

Counts

141 → 141

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	188	2266
1	411	1717
2	1020	1212
3	2330	1208
done	5000	1208

prune328.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (hypot re im))
0.5b	(cbrt (hypot re im))
0.5b	(cbrt (hypot re im))
0.6b	(/ (log (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (log 10.0))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

123×	`pow1`
94×	`log-pow`
72×	`times-frac`
48×	`pow1/3`
45×	`pow-prod-up`
31×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
30×	`pow-plus`
25×	`pow-prod-down`
18×	`associate-/l*`
15×	`pow-sqr`
10×	`pow2`
9×	`cbrt-prod`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow3`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 147

Calls

4 calls:

1.0ms	(cbrt (hypot re im))
1.0ms	(cbrt (hypot re im))
1.0ms	(cbrt (hypot re im))
136.0ms	(/ (log (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (log 10.0))

series721.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt (hypot re im))
172.0ms	(cbrt (hypot re im))
167.0ms	(cbrt (hypot re im))
180.0ms	(/ (log (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (log 10.0))

simplify2.4s

Counts

159 → 159

Iterations

Useful iterations: 3 (289.0ms)

Iter	Nodes	Cost
0	142	2581
1	237	2348
2	432	1739
3	896	1548
4	2315	1548
done	5002	1548

prune440.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes151.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	15	16
done	15	16

end0.0ms

sample1.0s

Algorithm

intervals

Results

738.0ms

8000×

body

valid