Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
31.7b	(sqrt (+ (* re re) (* im im)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac`
22×	`log-pow`
20×	`pow1`
16×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-pow1` `pow1/2` `associate-/l*`
4×	`add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube`
3×	`sqrt-prod`
2×	`expm1-log1p-u` `log-div` `flip3-+` `div-sub` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `div-exp` `clear-num` `hypot-def` `div-inv`

Counts

2 → 68

Calls

2 calls:

28.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
8.0ms	(sqrt (+ (* re re) (* im im)))

series162.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
36.0ms	(sqrt (+ (* re re) (* im im)))

simplify124.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	232	683
1	597	648
2	1428	645
3	4416	645
4	5001	645
done	5001	645

prune175.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:

0.0ms	(hypot re im)
7.0ms	(/ (log (hypot re im)) (log 10.0))

series190.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(hypot re im)
141.0ms	(/ (log (hypot re im)) (log 10.0))

simplify58.0ms

Counts

54 → 54

Iterations

Useful iterations: 4 (54.0ms)

Iter	Nodes	Cost
0	129	321
1	302	300
2	694	298
3	1942	298
4	5002	297
done	5002	297

prune128.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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)))

rewrite65.0ms

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)
44.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
11.0ms	(/ (log (hypot re im)) (sqrt (log 10.0)))

series442.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(hypot re im)
179.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
217.0ms	(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify53.0ms

Counts

170 → 170

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	463	1792
1	1994	1571
2	5001	1443
done	5001	1443

prune347.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(hypot re im)
0.3b	(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
3.9b	(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
46×	`times-frac`
39×	`*-un-lft-identity`
37×	`add-cube-cbrt`
26×	`sqrt-prod`
25×	`pow-unpow` `associate-l`
14×	`log-prod`
13×	`add-exp-log`
12×	`pow1`
9×	`unpow-prod-down`
8×	`add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in` `log-pow`
5×	`unswap-sqr`
4×	`associate-r` `prod-exp`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
2×	`hypot-udef` `div-exp` `cbrt-unprod` `div-inv`
1×	`cbrt-undiv` `pow-to-exp` `rec-exp` `pow-pow` `1-exp` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `sqrt-pow2`

Counts

3 → 118

Calls

3 calls:

0.0ms	(hypot re im)
29.0ms	(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
5.0ms	(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

series764.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(hypot re im)
372.0ms	(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
343.0ms	(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify51.0ms

Counts

127 → 127

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	454	1313
1	1968	1067
2	5001	933
done	5001	933

prune312.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes96.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	23
1	21	23
done	21	23

end0.0ms

sample517.0ms

Algorithm

intervals

Results

336.0ms

8000×

body

valid