Details

sample100.0ms

Algorithm

intervals

Results

37.0ms	297×	body	80	nan
30.0ms	256×	body	80	valid

simplify5.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize64.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (- (* (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))
0.5b	(* (log base) (log base))
28.5b	(sqrt (+ (* re re) (* im im)))

rewrite85.0ms

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:

40.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
13.0ms	(* (atan2 im re) (log base))
16.0ms	(* (log base) (log base))
13.0ms	(sqrt (+ (* re re) (* im im)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
37.0ms	(* (atan2 im re) (log base))
179.0ms	(* (log base) (log base))
41.0ms	(sqrt (+ (* re re) (* im im)))

simplify56.0ms

Counts: 120 → 120

prune729.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(log (/ 1 base))
0.3b	(/ (atan2 im re) (log (/ 1 base)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

5.0ms	(log (/ 1 base))
12.0ms	(/ (atan2 im re) (log (/ 1 base)))

series246.0ms

Counts

2 → 6

Calls

2 calls:

194.0ms	(log (/ 1 base))
52.0ms	(/ (atan2 im re) (log (/ 1 base)))

simplify36.0ms

Counts: 74 → 74

prune306.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

12.0ms	(* (cbrt base) (cbrt base))
1.0ms	(cbrt base)
1.0ms	(cbrt base)
1.0ms	(cbrt base)

series1.3s

Counts

4 → 12

Calls

4 calls:

326.0ms	(* (cbrt base) (cbrt base))
325.0ms	(cbrt base)
315.0ms	(cbrt base)
351.0ms	(cbrt base)

simplify50.0ms

Counts: 85 → 85

prune531.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (pow base 1/3) (pow base 1/3))
0.6b	(cbrt base)
5.0b	(pow base 1/3)
5.0b	(pow base 1/3)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

32.0ms	(* (pow base 1/3) (pow base 1/3))
1.0ms	(cbrt base)
4.0ms	(pow base 1/3)
4.0ms	(pow base 1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

267.0ms	(* (pow base 1/3) (pow base 1/3))
238.0ms	(cbrt base)
219.0ms	(pow base 1/3)
282.0ms	(pow base 1/3)

simplify68.0ms

Counts: 114 → 114

prune444.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes266.0ms

Accuracy

-8.6% (0.4b remaining)

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

bsearch0.0ms

simplify59.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.6s	8000×	body	80	valid
1.3s	7987×	body	80	nan