Details

sample1.1s

Algorithm

intervals

Results

768.0ms	255×	body	10240	exit
178.0ms	531×	body	80	nan
84.0ms	256×	body	80	valid

simplify14.0ms

Counts: 1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.2b

localize34.0ms

Local error

Found 4 expressions with local error:

32.7b	(sqrt (+ (* re re) (* im im)))
0.5b	(* (log base) (log base))
0.4b	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
0.3b	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))

rewrite57.0ms

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

21.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
21.0ms	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
7.0ms	(* (log base) (log base))
6.0ms	(sqrt (+ (* re re) (* im im)))

series583.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

228.0ms	(* (log base) (log base))
150.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
147.0ms	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
58.0ms	(sqrt (+ (* re re) (* im im)))

simplify669.0ms

Counts: 116 → 116

prune1.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.6b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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

17.0ms	(/ (* (log (- re)) (log base)) (* (log base) (log base)))
8.0ms	(* (log (- re)) (log base))
7.0ms	(* (log base) (log base))

series573.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

269.0ms	(* (log base) (log base))
164.0ms	(/ (* (log (- re)) (log base)) (* (log base) (log base)))
140.0ms	(* (log (- re)) (log base))

simplify14.6s

Counts: 95 → 95

prune950.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 7.4b

localize23.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ (log (- re)) (log base))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 37

Calls

1 calls:

Slowest

14.0ms

(/ (log (- re)) (log base))

series160.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

160.0ms

(/ (log (- re)) (log base))

simplify1.1s

Counts: 40 → 40

prune539.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 7.4b

localize38.0ms

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))

rewrite10.0ms

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

7.0ms	(* (cbrt base) (cbrt base))
1.0ms	(cbrt base)
1.0ms	(cbrt base)
1.0ms	(cbrt base)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

304.0ms	(cbrt base)
298.0ms	(* (cbrt base) (cbrt base))
266.0ms	(cbrt base)
247.0ms	(cbrt base)

simplify1.2s

Counts: 89 → 89

prune1.3s

Pruning

24 alts after pruning (22 fresh and 2 done)

Merged error: 7.4b

regimes974.0ms

Accuracy

49.3% (11.1b remaining)

Error of 18.4b against oracle of 7.3b and baseline of 29.2b

bsearch3.3s

end0.0ms

sample34.7s

Algorithm

intervals

Results

26.6s	8026×	body	10240	exit
4.6s	15753×	body	80	nan
2.5s	8000×	body	80	valid