Details

sample1.1s

Algorithm

intervals

Results

833.0ms	281×	body	10240	exit
106.0ms	457×	body	80	nan
77.0ms	256×	body	80	valid

simplify27.0ms

Counts: 1 → 1

prune410.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize54.0ms

Local error

Found 4 expressions with local error:

28.2b	(sqrt (+ (* re re) (* im im)))
0.5b	(* (log base) (log base))
0.4b	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
0.4b	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))

rewrite93.0ms

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

41.0ms	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
22.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
15.0ms	(* (log base) (log base))
12.0ms	(sqrt (+ (* re re) (* im im)))

series545.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

225.0ms	(* (log base) (log base))
137.0ms	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
121.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
61.0ms	(sqrt (+ (* re re) (* im im)))

simplify727.0ms

Counts: 116 → 116

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.6b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

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

28.0ms	(/ (* (log (- re)) (log base)) (* (log base) (log base)))
16.0ms	(* (log (- re)) (log base))
16.0ms	(* (log base) (log base))

series446.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

187.0ms	(* (log base) (log base))
154.0ms	(/ (* (log (- re)) (log base)) (* (log base) (log base)))
105.0ms	(* (log (- re)) (log base))

simplify14.4s

Counts: 95 → 95

prune1.1s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.5b

localize23.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (log (- re)) (log base))

rewrite19.0ms

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

18.0ms

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

series146.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

146.0ms

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

simplify1.2s

Counts: 40 → 40

prune432.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 6.5b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (log base) (log base))
0.4b	(* (log (- re)) (log base))
0.4b	(* (* (log (- re)) (log base)) (/ 1 (* (log base) (log base))))
0.3b	(/ 1 (* (log base) (log base)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

Slowest

49.0ms	(* (* (log (- re)) (log base)) (/ 1 (* (log base) (log base))))
15.0ms	(* (log (- re)) (log base))
15.0ms	(* (log base) (log base))
11.0ms	(/ 1 (* (log base) (log base)))

series881.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

321.0ms	(/ 1 (* (log base) (log base)))
265.0ms	(* (log base) (log base))
150.0ms	(* (* (log (- re)) (log base)) (/ 1 (* (log base) (log base))))
144.0ms	(* (log (- re)) (log base))

simplify5.4s

Counts: 150 → 150

prune1.5s

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 6.5b

regimes1.5s

Accuracy

52.3% (10.2b remaining)

Error of 17.5b against oracle of 7.4b and baseline of 28.7b

bsearch3.0s

end0.0ms

sample37.0s

Algorithm

intervals

Results

28.6s	8135×	body	10240	exit
4.4s	15774×	body	80	nan
2.9s	8000×	body	80	valid