Details

sample43.0ms

Algorithm

intervals

Results

29.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
1	8
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (sqrt (+ (* re re) (* im im))))
0.0b	(+ (* re re) (* im im))
30.1b	(sqrt (+ (* re re) (* im im)))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
16×	`sqrt-prod`
15×	`distribute-lft-out`
12×	`associate-l`
11×	`log-prod`
7×	`add-sqr-sqrt`
6×	`pow1` `swap-sqr` `add-cube-cbrt`
5×	`add-log-exp`
4×	`sqrt-div` `add-exp-log`
3×	`flip3-+` `add-cbrt-cube` `log-pow` `flip-+` `insert-posit16`
2×	`log-div` `sqrt-pow1` `pow1/2`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `rem-log-exp`

Counts

3 → 63

Calls

3 calls:

58.0ms	(log (sqrt (+ (* re re) (* im im))))
74.0ms	(+ (* re re) (* im im))
115.0ms	(sqrt (+ (* re re) (* im im)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(log (sqrt (+ (* re re) (* im im))))
52.0ms	(+ (* re re) (* im im))
49.0ms	(sqrt (+ (* re re) (* im im)))

simplify2.0s

Counts

72 → 72

Iterations

Iter	Nodes
done	5010
3	1625
2	426
1	169
0	79

prune304.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 6.7b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* re re) (* im im))
31.1b	(log (+ (* re re) (* im im)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

75.0ms	(+ (* re re) (* im im))
55.0ms	(log (+ (* re re) (* im im)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* re re) (* im im))
66.0ms	(log (+ (* re re) (* im im)))

simplify1.5s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
3	1410
2	402
1	154
0	61

prune161.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 6.7b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (log (+ (* re re) (* im im)))) (cbrt (log (+ (* re re) (* im im)))))
31.1b	(log (+ (* re re) (* im im)))
31.1b	(log (+ (* re re) (* im im)))
31.1b	(log (+ (* re re) (* im im)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
24×	`cbrt-prod` `log-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
19×	`associate-l`
15×	`swap-sqr` `add-cube-cbrt` `distribute-lft-out`
9×	`add-exp-log` `log-pow`
8×	`add-cbrt-cube`
7×	`associate-r`
6×	`log-div` `pow1/3`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `rem-log-exp` `flip-+`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 109

Calls

4 calls:

14.0ms	(* (cbrt (log (+ (* re re) (* im im)))) (cbrt (log (+ (* re re) (* im im)))))
51.0ms	(log (+ (* re re) (* im im)))
42.0ms	(log (+ (* re re) (* im im)))
32.0ms	(log (+ (* re re) (* im im)))

series417.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (cbrt (log (+ (* re re) (* im im)))) (cbrt (log (+ (* re re) (* im im)))))
65.0ms	(log (+ (* re re) (* im im)))
92.0ms	(log (+ (* re re) (* im im)))
83.0ms	(log (+ (* re re) (* im im)))

simplify2.6s

Counts

121 → 121

Iterations

Iter	Nodes
done	5002
4	2836
3	1176
2	571
1	249
0	100

prune443.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 6.7b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 6.7b

regimes317.0ms

Accuracy

54.5% (10.4b remaining)

Error of 17.6b against oracle of 7.1b and baseline of 30.0b

bsearch193.0ms

Steps

Iters	Range		Point
10	12461.173664998358	8322112628852838.0	8235632211164311.0
8	5.933421948035247e-256	7.3602847151824065e-252	8.33451305802747e-256
7	-2.1067132866399153e-175	-1.247380932766073e-177	-1.2552454715818077e-176
6	-3.505749298226566e+116	-2.552279280824353e+115	-1.3951279250903065e+116

simplify9.0ms

Iterations

Iter	Nodes
done	26
1	26
0	24

end0.0ms

sample985.0ms

Algorithm

intervals

Results

774.0ms

8000×

body

valid