Details

sample1.4s

Algorithm

intervals

Results

711.0ms	252×	body	10240	exit
551.0ms	449×	body	80	nan
54.0ms	256×	body	80	valid

simplify53.0ms

Counts: 1 → 1

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize27.0ms

Local error

Found 4 expressions with local error:

27.6b	(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)))

rewrite96.0ms

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

34.0ms	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
32.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
15.0ms	(* (log base) (log base))
12.0ms	(sqrt (+ (* re re) (* im im)))

series567.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

240.0ms	(* (log base) (log base))
141.0ms	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
130.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
56.0ms	(sqrt (+ (* re re) (* im im)))

simplify597.0ms

Counts: 116 → 116

prune1.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.1b

localize21.0ms

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)))

rewrite52.0ms

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

27.0ms	(/ (* (log (- re)) (log base)) (* (log base) (log base)))
15.0ms	(* (log (- re)) (log base))
8.0ms	(* (log base) (log base))

series469.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

240.0ms	(* (log base) (log base))
120.0ms	(* (log (- re)) (log base))
108.0ms	(/ (* (log (- re)) (log base)) (* (log base) (log base)))

simplify14.9s

Counts: 95 → 95

prune1.0s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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

8.0ms

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

series131.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

131.0ms

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

simplify1.0s

Counts: 40 → 40

prune408.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 7.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`times-frac`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt`
16×	`associate-r`
15×	`add-exp-log`
13×	`pow1`
9×	`add-cbrt-cube`
8×	`log-pow`
4×	`associate-/r` `div-exp` `associate-l*` `prod-exp`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 77

Calls

2 calls:

Slowest

11.0ms	(* (log (- re)) (/ 1 (log base)))
4.0ms	(/ 1 (log base))

series289.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

188.0ms	(/ 1 (log base))
101.0ms	(* (log (- re)) (/ 1 (log base)))

simplify1.7s

Counts: 83 → 83

prune913.0ms

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 7.0b

regimes1.4s

Accuracy

53.4% (9.9b remaining)

Error of 17.3b against oracle of 7.3b and baseline of 28.7b

bsearch109.0ms

end0.0ms

sample33.0s

Algorithm

intervals

Results

24.6s	8005×	body	10240	exit
5.1s	16103×	body	80	nan
2.4s	8000×	body	80	valid