Details

sample115.0ms

Algorithm

intervals

Results

55.0ms	256×	body	80	valid
41.0ms	223×	body	80	nan

simplify894.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2308
7	1116
6	232
5	78
4	53
3	39
2	24
1	22
0	18

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 32.6b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* re re) (* im im))
0.3b	(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
31.2b	(sqrt (+ (* re re) (* im im)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

7.0ms	(+ (* re re) (* im im))
24.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
6.0ms	(sqrt (+ (* re re) (* im im)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* re re) (* im im))
117.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
41.0ms	(sqrt (+ (* re re) (* im im)))

simplify456.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	2001
2	686
1	269
0	133

prune312.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* re re) (* im im))
0.2b	(/ 1 (log base))
0.3b	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
31.2b	(sqrt (+ (* re re) (* im im)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
26×	`times-frac`
24×	`*-un-lft-identity`
23×	`add-cube-cbrt`
17×	`pow1` `add-exp-log`
16×	`associate-r`
11×	`add-cbrt-cube`
10×	`log-pow`
6×	`associate-l` `add-log-exp`
4×	`associate-/r*` `div-exp` `prod-exp` `insert-posit16`
3×	`sqrt-prod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `1-exp` `cbrt-unprod` `flip-+` `div-inv`
1×	`+-commutative` `rem-sqrt-square` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 107

Calls

4 calls:

10.0ms	(+ (* re re) (* im im))
6.0ms	(/ 1 (log base))
19.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
7.0ms	(sqrt (+ (* re re) (* im im)))

series450.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* re re) (* im im))
234.0ms	(/ 1 (log base))
127.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
50.0ms	(sqrt (+ (* re re) (* im im)))

simplify545.0ms

Counts

119 → 119

Iterations

Iter	Nodes
done	2002
2	981
1	355
0	152

prune401.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* re re) (* im im))
0.3b	(/ 1/2 (/ (log base) (log (+ (* re re) (* im im)))))
0.4b	(/ (log base) (log (+ (* re re) (* im im))))
32.4b	(log (+ (* re re) (* im im)))

rewrite42.0ms

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:

10.0ms	(+ (* re re) (* im im))
12.0ms	(/ 1/2 (/ (log base) (log (+ (* re re) (* im im)))))
9.0ms	(/ (log base) (log (+ (* re re) (* im im))))
7.0ms	(log (+ (* re re) (* im im)))

series419.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* re re) (* im im))
148.0ms	(/ 1/2 (/ (log base) (log (+ (* re re) (* im im)))))
167.0ms	(/ (log base) (log (+ (* re re) (* im im))))
67.0ms	(log (+ (* re re) (* im im)))

simplify688.0ms

Counts

175 → 175

Iterations

Iter	Nodes
done	2000
2	1645
1	566
0	227

prune806.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 8.3b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* re re) (* im im))
0.3b	(/ 1/2 (/ (log base) (log (+ (* re re) (* im im)))))
0.4b	(/ (log base) (log (+ (* re re) (* im im))))
32.4b	(log (+ (* re re) (* im im)))

rewrite44.0ms

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:

13.0ms	(+ (* re re) (* im im))
10.0ms	(/ 1/2 (/ (log base) (log (+ (* re re) (* im im)))))
8.0ms	(/ (log base) (log (+ (* re re) (* im im))))
9.0ms	(log (+ (* re re) (* im im)))

series417.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* re re) (* im im))
152.0ms	(/ 1/2 (/ (log base) (log (+ (* re re) (* im im)))))
169.0ms	(/ (log base) (log (+ (* re re) (* im im))))
66.0ms	(log (+ (* re re) (* im im)))

simplify819.0ms

Counts

175 → 175

Iterations

Iter	Nodes
done	2000
2	1645
1	566
0	227

prune785.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 8.3b

regimes719.0ms

Accuracy

57.6% (10.0b remaining)

Error of 17.3b against oracle of 7.3b and baseline of 30.9b

bsearch211.0ms

Steps

Iters	Range		Point
5	1.4920352286706925e+56	4.88821561958585e+56	4.571038187985704e+56
8	-1.23785148453988e+126	-5.7657602805694936e+122	-2.266036080509631e+125

simplify4.0ms

Iterations

Iter	Nodes
done	27
1	27
0	23

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.1s	8000×	body	80	valid
1.8s	7951×	body	80	nan