Details

sample62.0ms

Algorithm

intervals

Results

46.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	11
1	11
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.2b

localize36.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
34.7b	(sqrt (+ (* re re) (* im im)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac`
22×	`log-pow`
20×	`pow1`
16×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-pow1` `pow1/2` `associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `sqrt-div` `add-exp-log`
3×	`sqrt-prod`
2×	`log-div` `flip3-+` `div-sub` `flip-+` `insert-posit16` `add-log-exp`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 65

Calls

2 calls:

37.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
12.0ms	(sqrt (+ (* re re) (* im im)))

series231.0ms

Counts

2 → 6

Calls

2 calls:

167.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
64.0ms	(sqrt (+ (* re re) (* im im)))

simplify1.4s

Counts

71 → 71

Iterations

Iter	Nodes
4	2850
3	1122
2	499
1	228
0	118

prune572.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.8b

localize36.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
0.5b	(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
36.0b	(log (+ (* re re) (* im im)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

89×	`times-frac`
82×	`add-sqr-sqrt`
54×	`sqrt-prod`
52×	`*-un-lft-identity` `add-cube-cbrt`
33×	`pow1`
32×	`associate-r`
28×	`log-pow`
25×	`associate-l`
18×	`add-exp-log`
17×	`add-cbrt-cube`
9×	`unswap-sqr`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`log-div` `prod-exp` `cbrt-unprod` `associate-/l*`
3×	`log-prod` `insert-posit16` `div-inv` `add-log-exp`
2×	`flip3-+` `div-sub` `flip-+`
1×	`frac-times` `clear-num` `frac-2neg` `rem-log-exp` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 156

Calls

3 calls:

45.0ms	(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
22.0ms	(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
5.0ms	(log (+ (* re re) (* im im)))

series498.0ms

Counts

3 → 9

Calls

3 calls:

191.0ms	(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
238.0ms	(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
69.0ms	(log (+ (* re re) (* im im)))

simplify5.3s

Counts

165 → 165

Iterations

Iter	Nodes
3	5539
2	1744
1	547
0	208

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.6b

localize41.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt 1/2) (cbrt 1/2))
1.0b	(sqrt (sqrt (log 10)))
1.0b	(sqrt (sqrt (log 10)))
36.0b	(log (+ (* re re) (* im im)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
24×	`sqrt-prod`
18×	`pow1`
17×	`*-un-lft-identity` `add-cube-cbrt`
16×	`cbrt-prod`
8×	`sqrt-pow1`
7×	`add-exp-log`
6×	`pow1/3` `swap-sqr` `associate-r` `associate-l`
4×	`rem-sqrt-square` `add-cbrt-cube` `pow1/2` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`log-prod` `log-pow`
2×	`log-div` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `flip3-+` `pow-plus` `rem-log-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 98

Calls

4 calls:

7.0ms	(* (cbrt 1/2) (cbrt 1/2))
2.0ms	(sqrt (sqrt (log 10)))
2.0ms	(sqrt (sqrt (log 10)))
5.0ms	(log (+ (* re re) (* im im)))

series67.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(* (cbrt 1/2) (cbrt 1/2))
0.0ms	(sqrt (sqrt (log 10)))
0.0ms	(sqrt (sqrt (log 10)))
67.0ms	(log (+ (* re re) (* im im)))

simplify818.0ms

Counts

104 → 104

Iterations

Iter	Nodes
4	2050
3	871
2	460
1	234
0	120

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.6b

localize32.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (/ (log (+ (* re re) (* im im))) (sqrt (log 10))) (/ 1/2 (sqrt (log 10))))
0.5b	(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
36.0b	(log (+ (* re re) (* im im)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

89×	`times-frac`
82×	`add-sqr-sqrt`
54×	`sqrt-prod`
52×	`*-un-lft-identity` `add-cube-cbrt`
33×	`pow1`
32×	`associate-l`
28×	`log-pow`
25×	`associate-r`
18×	`add-exp-log`
17×	`add-cbrt-cube`
9×	`unswap-sqr`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`log-div` `prod-exp` `cbrt-unprod` `associate-/l*`
3×	`log-prod` `insert-posit16` `div-inv` `add-log-exp`
2×	`flip3-+` `div-sub` `flip-+`
1×	`frac-times` `clear-num` `frac-2neg` `rem-log-exp` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 156

Calls

3 calls:

26.0ms	(* (/ (log (+ (* re re) (* im im))) (sqrt (log 10))) (/ 1/2 (sqrt (log 10))))
35.0ms	(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
12.0ms	(log (+ (* re re) (* im im)))

series518.0ms

Counts

3 → 9

Calls

3 calls:

198.0ms	(* (/ (log (+ (* re re) (* im im))) (sqrt (log 10))) (/ 1/2 (sqrt (log 10))))
262.0ms	(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
58.0ms	(log (+ (* re re) (* im im)))

simplify5.7s

Counts

165 → 165

Iterations

Iter	Nodes
3	5849
2	1759
1	580
0	209

prune1.2s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 10.6b

regimes760.0ms

Accuracy

55% (10.6b remaining)

Error of 18.2b against oracle of 7.6b and baseline of 31.1b

bsearch243.0ms

Steps

Iters	Range		Point
6	1.2899070893169995e+122	1.1008804067396618e+123	3.0514418349359322e+122
10	9.263506340105936e-247	2.8963139451167867e-233	2.2710614939339266e-237
9	-5.8601532664330206e-161	-3.929159348295641e-169	-1.55388712844443e-164
5	-3.3863860645652263e+58	-1.0274333509025232e+58	-3.1849016560059546e+58

simplify13.0ms

Iterations

Iter	Nodes
2	61
1	61
0	50

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.5s

8000×

body

valid