Details

sample1.3s

Algorithm

intervals

Results

988.0ms	300×	body	10240	exit
177.0ms	562×	body	80	nan
64.0ms	256×	body	80	valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	22
1	22
0	18

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
0.4b	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
0.5b	(* (log base) (log base))
28.8b	(sqrt (+ (* re re) (* im im)))

rewrite468.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
20×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
12×	`log-prod`
10×	`associate-l` `log-pow`
8×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
3×	`sqrt-prod`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `pow-prod-down` `*-commutative` `unswap-sqr`
1×	`pow2` `rem-sqrt-square` `clear-num` `associate-/r` `frac-2neg` `flip3-+` `times-frac` `pow-plus` `pow-sqr` `pow-prod-up` `flip-+` `div-inv` `associate-/l`

Counts

4 → 104

Calls

4 calls:

16.0ms	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
11.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
8.0ms	(* (log base) (log base))
432.0ms	(sqrt (+ (* re re) (* im im)))

series629.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
140.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
265.0ms	(* (log base) (log base))
72.0ms	(sqrt (+ (* re re) (* im im)))

simplify10.3s

Counts

116 → 116

Iterations

Iter	Nodes
3	13079
2	1699
1	417
0	162

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.3b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(log (/ -1 re))
0.3b	(/ (log (/ -1 re)) (+ 0 (log base)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
29×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`pow1`
13×	`log-prod`
12×	`log-pow`
10×	`distribute-lft-out`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/l*`
2×	`log-div` `div-exp` `rem-log-exp` `associate-/r/` `insert-posit16` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-sub` `flip-+`

Counts

2 → 70

Calls

2 calls:

2.0ms	(log (/ -1 re))
15.0ms	(/ (log (/ -1 re)) (+ 0 (log base)))

series279.0ms

Counts

2 → 6

Calls

2 calls:

146.0ms	(log (/ -1 re))
132.0ms	(/ (log (/ -1 re)) (+ 0 (log base)))

simplify2.0s

Counts

76 → 76

Iterations

Iter	Nodes
4	4661
3	1448
2	570
1	249
0	128

prune780.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.2b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (/ -1 re))
0.3b	(/ 1 (log base))
0.4b	(* (log (/ -1 re)) (/ 1 (log base)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `times-frac`
29×	`*-un-lft-identity`
28×	`add-cube-cbrt`
19×	`add-exp-log`
16×	`associate-r`
15×	`pow1`
13×	`log-prod`
10×	`add-cbrt-cube`
9×	`log-pow`
5×	`div-exp`
4×	`associate-/r` `associate-l*` `prod-exp`
3×	`insert-posit16` `div-inv` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `rem-log-exp` `cbrt-unprod`
1×	`log-div` `clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 102

Calls

3 calls:

3.0ms	(log (/ -1 re))
8.0ms	(/ 1 (log base))
23.0ms	(* (log (/ -1 re)) (/ 1 (log base)))

series606.0ms

Counts

3 → 9

Calls

3 calls:

242.0ms	(log (/ -1 re))
237.0ms	(/ 1 (log base))
126.0ms	(* (log (/ -1 re)) (/ 1 (log base)))

simplify958.0ms

Counts

111 → 111

Iterations

Iter	Nodes
3	2390
2	840
1	307
0	153

prune1.3s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 8.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (/ -1 re))
0.2b	(/ 1 (/ (log base) (log (/ -1 re))))
0.3b	(/ (log base) (log (/ -1 re)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

149×	`times-frac`
77×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
47×	`pow1`
43×	`log-pow`
24×	`associate-/r*`
19×	`add-exp-log`
13×	`log-prod`
10×	`add-cbrt-cube`
9×	`div-exp`
7×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`insert-posit16` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `rem-log-exp`
1×	`log-div` `associate-/r/` `pow-flip` `inv-pow`

Counts

3 → 167

Calls

3 calls:

3.0ms	(log (/ -1 re))
13.0ms	(/ 1 (/ (log base) (log (/ -1 re))))
12.0ms	(/ (log base) (log (/ -1 re)))

series484.0ms

Counts

3 → 9

Calls

3 calls:

215.0ms	(log (/ -1 re))
153.0ms	(/ 1 (/ (log base) (log (/ -1 re))))
115.0ms	(/ (log base) (log (/ -1 re)))

simplify1.7s

Counts

176 → 176

Iterations

Iter	Nodes
3	3790
2	1209
1	471
0	216

prune1.9s

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 8.2b

regimes1.3s

Accuracy

53.8% (10.0b remaining)

Error of 17.5b against oracle of 7.5b and baseline of 29.1b

bsearch2.8s

Steps

Iters	Range		Point
8	1.633262135315866e+177	3.505770801481446e+180	1.65518060911004e+177
7	2.5861665050680052e+151	2.3524693976635774e+153	2.310383428093748e+153
6	3.072651581028516e-143	2.3718620688823102e-142	7.993197017950823e-143
10	-1.2116568995691859e-147	-7.408643487586304e-161	-5.446977075069018e-152
8	-3.525178885497336e+160	-4.5900052008268566e+157	-4.641395323766435e+157

simplify30.0ms

Iterations

Iter	Nodes
3	73
2	73
1	70
0	53

end0.0ms

sample35.3s

Algorithm

intervals

Results

26.4s	7956×	body	10240	exit
4.8s	16015×	body	80	nan
3.1s	8000×	body	80	valid