Details

sample63.0ms

Algorithm

intervals

Results

45.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt (+ (* re re) (* im im))))
0.0b	(+ (* re re) (* im im))
0.5b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
30.1b	(sqrt (+ (* re re) (* im im)))

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
25×	`log-pow`
24×	`pow1` `times-frac`
20×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
16×	`sqrt-prod`
15×	`distribute-lft-out`
12×	`associate-l`
11×	`log-prod`
7×	`sqrt-pow1` `pow1/2` `add-exp-log`
6×	`add-cbrt-cube` `sqrt-div` `swap-sqr` `associate-/l*` `add-log-exp`
4×	`log-div` `associate-/r*` `flip3-+` `flip-+` `insert-posit16`
2×	`div-sub`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `clear-num` `sum-log` `frac-2neg` `div-exp` `rem-log-exp` `div-inv`

Counts

4 → 112

Calls

4 calls:

35.0ms	(log (sqrt (+ (* re re) (* im im))))
73.0ms	(+ (* re re) (* im im))
104.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
92.0ms	(sqrt (+ (* re re) (* im im)))

series471.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(log (sqrt (+ (* re re) (* im im))))
54.0ms	(+ (* re re) (* im im))
256.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
71.0ms	(sqrt (+ (* re re) (* im im)))

simplify1.7s

Counts

124 → 124

Iterations

Iter	Nodes
done	5012
3	2214
2	650
1	283
0	142

prune635.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.9b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* re re) (* im im))
0.2b	(/ 1/2 (/ (log 10) (log (+ (* re re) (* im im)))))
0.5b	(/ (log 10) (log (+ (* re re) (* im im))))
31.1b	(log (+ (* re re) (* im im)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

140×	`times-frac`
98×	`*-un-lft-identity`
74×	`add-sqr-sqrt` `add-cube-cbrt`
49×	`pow1`
45×	`log-pow`
28×	`associate-/r*`
12×	`add-exp-log`
11×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
10×	`distribute-lft-out`
8×	`log-prod` `associate-l`
6×	`div-inv` `add-log-exp`
4×	`cbrt-undiv` `swap-sqr` `div-exp` `insert-posit16`
3×	`clear-num` `frac-2neg`
2×	`log-div` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log` `rem-log-exp`

Counts

4 → 183

Calls

4 calls:

74.0ms	(+ (* re re) (* im im))
24.0ms	(/ 1/2 (/ (log 10) (log (+ (* re re) (* im im)))))
15.0ms	(/ (log 10) (log (+ (* re re) (* im im))))
31.0ms	(log (+ (* re re) (* im im)))

series462.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* re re) (* im im))
160.0ms	(/ 1/2 (/ (log 10) (log (+ (* re re) (* im im)))))
187.0ms	(/ (log 10) (log (+ (* re re) (* im im))))
76.0ms	(log (+ (* re re) (* im im)))

simplify1.5s

Counts

195 → 195

Iterations

Iter	Nodes
done	5000
2	1677
1	566
0	229

prune774.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.8b

localize67.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (log 10))
1.0b	(cbrt (log 10))
1.0b	(cbrt (log 10))
31.1b	(log (+ (* im im) (* re re)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
12×	`cbrt-prod`
8×	`add-sqr-sqrt` `pow1` `log-prod` `add-cube-cbrt`
5×	`add-exp-log` `distribute-lft-out`
4×	`add-cbrt-cube` `associate-l` `log-pow` `insert-posit16` `add-log-exp`
3×	`pow1/3`
2×	`log-div` `swap-sqr`
1×	`flip3-+` `rem-log-exp` `flip-+`

Counts

4 → 59

Calls

4 calls:

2.0ms	(cbrt (log 10))
2.0ms	(cbrt (log 10))
2.0ms	(cbrt (log 10))
63.0ms	(log (+ (* im im) (* re re)))

series71.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt (log 10))
0.0ms	(cbrt (log 10))
0.0ms	(cbrt (log 10))
71.0ms	(log (+ (* im im) (* re re)))

simplify2.6s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
5	3529
4	1260
3	588
2	296
1	152
0	72

prune432.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.5b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* re re) (* im im))
0.2b	(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
0.4b	(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
31.1b	(log (+ (* re re) (* im im)))

rewrite311.0ms

Algorithm

rewrite-expression-head

Rules

210×	`associate-/r*`
182×	`frac-times`
170×	`add-sqr-sqrt` `sqrt-prod`
165×	`*-un-lft-identity`
140×	`add-cube-cbrt`
107×	`associate-/l*`
89×	`times-frac`
78×	`pow1`
72×	`log-pow`
33×	`associate-l`
32×	`associate-r`
31×	`clear-num`
30×	`frac-2neg`
19×	`add-exp-log`
18×	`add-cbrt-cube`
14×	`associate-*r/`
13×	`associate-*l/`
10×	`distribute-lft-out`
9×	`unswap-sqr`
8×	`log-prod`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`log-div` `swap-sqr` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`flip3-+` `un-div-inv` `flip-+` `div-inv`
2×	`div-sub`
1×	`+-commutative` `sum-log` `rem-log-exp` `pow-prod-down` `*-commutative`

Counts

4 → 387

Calls

4 calls:

78.0ms	(+ (* re re) (* im im))
67.0ms	(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
101.0ms	(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
32.0ms	(log (+ (* re re) (* im im)))

series592.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* re re) (* im im))
226.0ms	(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
254.0ms	(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
73.0ms	(log (+ (* re re) (* im im)))

simplify2.6s

Counts

399 → 399

Iterations

Iter	Nodes
done	5000
2	4320
1	1383
0	405

prune1.3s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.4b

regimes781.0ms

Accuracy

41.2% (17.6b remaining)

Error of 17.9b against oracle of 0.3b and baseline of 30.3b

bsearch341.0ms

Steps

Iters	Range		Point
8	2.2994893295573088e+61	9.381769121995126e+63	9.270740708287654e+63
8	-2.462410482377401e-246	-1.1984645884671281e-250	-6.847505130661582e-247
9	-3.626165108189549e-111	-1.4544600887876917e-120	-1.4780679115634563e-120
6	-5.409346264960912e+152	-3.4128888137480475e+151	-3.494473208647424e+151

simplify29.0ms

Iterations

Iter	Nodes
done	74
1	74
0	58

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.7s

8000×

body

valid