Details

sample1.0s

Algorithm

intervals

Results

787.0ms	246×	body	10240	exit
150.0ms	535×	body	80	nan
58.0ms	256×	body	80	valid

simplify27.0ms

Counts: 1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.1b

localize39.0ms

Local error

Found 4 expressions with local error:

30.7b	(sqrt (+ (* re re) (* im im)))
0.5b	(* (log base) (log base))
0.4b	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
0.3b	(* (log (sqrt (+ (* re re) (* im im)))) (log base))

rewrite63.0ms

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

25.0ms	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
13.0ms	(* (log base) (log base))
11.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
11.0ms	(sqrt (+ (* re re) (* im im)))

series518.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

211.0ms	(* (log base) (log base))
137.0ms	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
112.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
56.0ms	(sqrt (+ (* re re) (* im im)))

simplify624.0ms

Counts: 116 → 116

prune1.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.8b

localize22.0ms

Local error

Found 3 expressions with local error:

0.5b	(* (log base) (log base))
0.4b	(/ (* (log (- re)) (log base)) (* (log base) (log base)))
0.3b	(* (log (- re)) (log base))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

Slowest

15.0ms	(/ (* (log (- re)) (log base)) (* (log base) (log base)))
9.0ms	(* (log base) (log base))
8.0ms	(* (log (- re)) (log base))

series531.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

244.0ms	(* (log base) (log base))
151.0ms	(/ (* (log (- re)) (log base)) (* (log base) (log base)))
136.0ms	(* (log (- re)) (log base))

simplify10.0s

Counts: 95 → 95

prune1.1s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 6.7b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt base)
0.6b	(cbrt base)
0.6b	(cbrt base)
0.5b	(* (cbrt base) (cbrt base))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

Slowest

8.0ms	(* (cbrt base) (cbrt base))
1.0ms	(cbrt base)
1.0ms	(cbrt base)
1.0ms	(cbrt base)

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

306.0ms	(cbrt base)
304.0ms	(* (cbrt base) (cbrt base))
293.0ms	(cbrt base)
262.0ms	(cbrt base)

simplify1.3s

Counts: 89 → 89

prune1.4s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 6.6b

localize59.0ms

Local error

Found 4 expressions with local error:

5.1b	(pow base 1/3)
0.6b	(cbrt base)
0.6b	(cbrt base)
0.5b	(* (cbrt base) (cbrt base))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

Slowest

20.0ms	(* (cbrt base) (cbrt base))
4.0ms	(pow base 1/3)
1.0ms	(cbrt base)
1.0ms	(cbrt base)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

320.0ms	(cbrt base)
308.0ms	(* (cbrt base) (cbrt base))
247.0ms	(pow base 1/3)
222.0ms	(cbrt base)

simplify2.1s

Counts: 96 → 96

prune1.5s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.6b

regimes1.1s

Accuracy

48.4% (11.1b remaining)

Error of 18.7b against oracle of 7.6b and baseline of 29.1b

bsearch2.0s

end0.0ms

sample32.8s

Algorithm

intervals

Results

24.5s	8028×	body	10240	exit
5.0s	16047×	body	80	nan
2.3s	8000×	body	80	valid