Details

sample1.0s

Algorithm

intervals

Results

762.0ms	234×	body	10240	exit
155.0ms	490×	body	80	nan
64.0ms	256×	body	80	valid

simplify26.0ms

Counts: 1 → 1

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize69.0ms

Local error

Found 4 expressions with local error:

27.9b	(sqrt (+ (* re re) (* im im)))
0.5b	(* (log base) (log base))
0.3b	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
0.3b	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))

rewrite59.0ms

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:

Slowest

32.0ms	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
10.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
7.0ms	(* (log base) (log base))
6.0ms	(sqrt (+ (* re re) (* im im)))

series566.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

269.0ms	(* (log base) (log base))
123.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
107.0ms	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
67.0ms	(sqrt (+ (* re re) (* im im)))

simplify556.0ms

Counts: 116 → 116

prune1.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.0b

localize31.0ms

Local error

Found 2 expressions with local error:

27.9b	(sqrt (+ (* re re) (* im im)))
0.4b	(/ (log (sqrt (+ (* re re) (* im im)))) (/ (log base) 1))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
77×	`add-sqr-sqrt`
76×	`*-un-lft-identity` `add-cube-cbrt`
72×	`log-pow`
58×	`pow1`
18×	`sqrt-pow1` `pow1/2`
16×	`associate-/r*`
9×	`add-exp-log`
8×	`div-inv`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`div-exp`
4×	`sqrt-div`
3×	`cbrt-undiv` `sqrt-prod`
2×	`log-div` `flip3-+` `div-sub` `flip-+` `insert-posit16` `add-log-exp`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `1-exp` `associate-/r/`

Counts

2 → 153

Calls

2 calls:

Slowest

24.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (/ (log base) 1))
12.0ms	(sqrt (+ (* re re) (* im im)))

series200.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

134.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (/ (log base) 1))
66.0ms	(sqrt (+ (* re re) (* im im)))

simplify825.0ms

Counts: 159 → 159

prune2.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.9b

localize27.0ms

Local error

Found 3 expressions with local error:

29.2b	(log (+ (* re re) (* im im)))
0.4b	(* (/ 1/2 (log base)) (log (+ (* re re) (* im im))))
0.2b	(/ 1/2 (log base))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`times-frac`
24×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-l`
14×	`pow1`
11×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`log-prod` `log-pow`
4×	`associate-/r` `associate-r*`
3×	`distribute-rgt-in` `distribute-lft-in` `insert-posit16` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `log-div` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `flip3-+` `rem-log-exp` `pow-prod-down` `associate-l/` `-commutative` `flip-+`

Counts

3 → 90

Calls

3 calls:

Slowest

25.0ms	(* (/ 1/2 (log base)) (log (+ (* re re) (* im im))))
7.0ms	(/ 1/2 (log base))
5.0ms	(log (+ (* re re) (* im im)))

series475.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

264.0ms	(/ 1/2 (log base))
143.0ms	(* (/ 1/2 (log base)) (log (+ (* re re) (* im im))))
68.0ms	(log (+ (* re re) (* im im)))

simplify966.0ms

Counts: 99 → 99

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.9b

localize57.0ms

Local error

Found 2 expressions with local error:

29.2b	(log (+ (* re re) (* im im)))
0.4b	(/ (log (+ (* re re) (* im im))) (log base))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

Slowest

19.0ms	(/ (log (+ (* re re) (* im im))) (log base))
10.0ms	(log (+ (* re re) (* im im)))

series220.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

149.0ms	(/ (log (+ (* re re) (* im im))) (log base))
71.0ms	(log (+ (* re re) (* im im)))

simplify968.0ms

Counts: 60 → 60

prune812.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 8.9b

regimes895.0ms

Accuracy

59.6% (9.3b remaining)

Error of 16.6b against oracle of 7.3b and baseline of 30.4b

bsearch2.2s

end0.0ms

sample36.0s

Algorithm

intervals

Results

27.9s	8009×	body	10240	exit
5.1s	16245×	body	80	nan
2.0s	8000×	body	80	valid