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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize32.0ms

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)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

25×	`log-pow`
24×	`pow1` `times-frac`
20×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `add-cube-cbrt`
7×	`sqrt-pow1` `pow1/2` `add-exp-log`
6×	`log-prod` `add-cbrt-cube` `sqrt-div` `sqrt-prod` `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 → 97

Calls

4 calls:

13.0ms	(log (sqrt (+ (* re re) (* im im))))
15.0ms	(+ (* re re) (* im im))
30.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
7.0ms	(sqrt (+ (* re re) (* im im)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(log (sqrt (+ (* re re) (* im im))))
52.0ms	(+ (* re re) (* im im))
216.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
53.0ms	(sqrt (+ (* re re) (* im im)))

simplify1.8s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
3	2136
2	652
1	279
0	139

prune561.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.9b

localize23.0ms

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)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

140×	`times-frac`
72×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
47×	`pow1`
43×	`log-pow`
24×	`associate-/r*`
12×	`add-exp-log`
11×	`add-cbrt-cube`
7×	`associate-/l*`
6×	`div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `insert-posit16`
3×	`log-prod`
2×	`log-div` `clear-num` `frac-2neg` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log` `rem-log-exp` `associate-/r/`

Counts

4 → 163

Calls

4 calls:

16.0ms	(+ (* re re) (* im im))
8.0ms	(/ 1/2 (/ (log 10) (log (+ (* re re) (* im im)))))
7.0ms	(/ (log 10) (log (+ (* re re) (* im im))))
6.0ms	(log (+ (* re re) (* im im)))

series485.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* re re) (* im im))
171.0ms	(/ 1/2 (/ (log 10) (log (+ (* re re) (* im im)))))
212.0ms	(/ (log 10) (log (+ (* re re) (* im im))))
65.0ms	(log (+ (* re re) (* im im)))

simplify1.6s

Counts

175 → 175

Iterations

Iter	Nodes
done	5000
2	1658
1	559
0	222

prune845.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.8b

localize53.0ms

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 (+ (* re re) (* im im)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt (log 10))
1.0ms	(cbrt (log 10))
1.0ms	(cbrt (log 10))
6.0ms	(log (+ (* re re) (* im im)))

series67.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt (log 10))
0.0ms	(cbrt (log 10))
0.0ms	(cbrt (log 10))
66.0ms	(log (+ (* re re) (* im im)))

simplify2.8s

Counts

60 → 60

Iterations

Iter	Nodes
done	5032
5	3473
4	1289
3	604
2	300
1	149
0	70

prune371.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.7b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

140×	`times-frac`
72×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
47×	`pow1`
43×	`log-pow`
24×	`associate-/r*`
12×	`add-exp-log`
11×	`add-cbrt-cube`
7×	`associate-/l*`
6×	`div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `insert-posit16`
3×	`log-prod`
2×	`log-div` `clear-num` `frac-2neg` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log` `rem-log-exp` `associate-/r/`

Counts

4 → 163

Calls

4 calls:

16.0ms	(+ (* im im) (* re re))
13.0ms	(/ 1/2 (/ (log 10) (log (+ (* im im) (* re re)))))
12.0ms	(/ (log 10) (log (+ (* im im) (* re re))))
10.0ms	(log (+ (* im im) (* re re)))

series461.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* im im) (* re re))
175.0ms	(/ 1/2 (/ (log 10) (log (+ (* im im) (* re re)))))
176.0ms	(/ (log 10) (log (+ (* im im) (* re re))))
62.0ms	(log (+ (* im im) (* re re)))

simplify1.7s

Counts

175 → 175

Iterations

Iter	Nodes
done	5000
2	1663
1	559
0	222

prune751.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.4b

regimes980.0ms

Accuracy

41.3% (17.5b remaining)

Error of 17.9b against oracle of 0.4b and baseline of 30.2b

bsearch228.0ms

Steps

Iters	Range		Point
6	2.132132710029742e+60	2.2994893295573088e+61	2.264720310277972e+61
8	-2.462410482377401e-246	-1.1984645884671281e-250	-1.8298455091974634e-246
9	-3.626165108189549e-111	-1.4544600887876917e-120	-1.4780679115634563e-120
4	-7.655600252763667e+144	-5.197471016632673e+144	-5.252223443509709e+144

simplify13.0ms

Iterations

Iter	Nodes
done	54
2	54
1	52
0	41

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

8000×

body

valid