Details

sample148.0ms

Algorithm

intervals

Results

57.0ms	256×	body	80	valid
49.0ms	277×	body	80	nan

simplify4.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
0.4b	(* (atan2 im re) (log base))
0.6b	(* (log base) (log base))
29.7b	(sqrt (+ (* re re) (* im im)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`pow1`
12×	`log-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac`
8×	`associate-r`
7×	`associate-l` `log-pow`
6×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr`
4×	`add-log-exp`
3×	`associate-/r` `sqrt-prod` `associate-/l`
2×	`flip3-+` `sqrt-div` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `pow2` `rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow-plus` `pow1/2` `div-sub` `div-exp` `clear-num` `pow-sqr` `pow-prod-up` `flip--` `div-inv`

Counts

4 → 108

Calls

4 calls:

61.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
17.0ms	(* (atan2 im re) (log base))
24.0ms	(* (log base) (log base))
48.0ms	(sqrt (+ (* re re) (* im im)))

series437.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
46.0ms	(* (atan2 im re) (log base))
257.0ms	(* (log base) (log base))
66.0ms	(sqrt (+ (* re re) (* im im)))

simplify63.0ms

Counts: 120 → 120

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (atan2 im re) (log (/ 1 base)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `log-pow`
9×	`pow1`
6×	`associate-/r*`
4×	`pow-flip` `inv-pow`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

14.0ms

(/ (atan2 im re) (log (/ 1 base)))

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(/ (atan2 im re) (log (/ 1 base)))

simplify61.0ms

Counts: 42 → 42

prune161.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (log (/ 1 base)))
0.3b	(* (atan2 im re) (/ 1 (log (/ 1 base))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

38×	`times-frac`
31×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
22×	`associate-r`
21×	`log-pow`
19×	`pow1`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow-flip` `inv-pow`
6×	`associate-/r*`
4×	`div-exp` `prod-exp`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative`

Counts

2 → 88

Calls

2 calls:

9.0ms	(/ 1 (log (/ 1 base)))
36.0ms	(* (atan2 im re) (/ 1 (log (/ 1 base))))

series297.0ms

Counts

2 → 6

Calls

2 calls:

251.0ms	(/ 1 (log (/ 1 base)))
46.0ms	(* (atan2 im re) (/ 1 (log (/ 1 base))))

simplify57.0ms

Counts: 94 → 94

prune354.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (log (/ 1 base)) (atan2 im re))
0.3b	(/ 1 (/ (log (/ 1 base)) (atan2 im re)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
76×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
48×	`log-pow`
35×	`pow1`
25×	`associate-/r*`
17×	`pow-flip` `inv-pow`
15×	`add-exp-log`
9×	`add-cbrt-cube` `associate-/l*`
8×	`div-exp`
6×	`div-inv`
4×	`cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`log-div` `div-sub` `distribute-frac-neg` `log-rec` `associate-/r/`

Counts

2 → 153

Calls

2 calls:

22.0ms	(/ (log (/ 1 base)) (atan2 im re))
14.0ms	(/ 1 (/ (log (/ 1 base)) (atan2 im re)))

series138.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (log (/ 1 base)) (atan2 im re))
78.0ms	(/ 1 (/ (log (/ 1 base)) (atan2 im re)))

simplify39.0ms

Counts: 159 → 159

prune545.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes349.0ms

Accuracy

21.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify51.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.9s	8045×	body	80	nan
1.3s	8000×	body	80	valid