Details

sample1.0s

Algorithm

intervals

Results

793.0ms	259×	body	10240	exit
114.0ms	493×	body	80	nan
93.0ms	256×	body	80	valid

simplify13.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.7b

localize58.0ms

Local error

Found 4 expressions with local error:

33.2b	(sqrt (+ (* re re) (* im im)))
0.5b	(* (log base) (log base))
0.4b	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
0.3b	(* (log (sqrt (+ (* re re) (* im im)))) (log base))

rewrite60.0ms

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

24.0ms	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
13.0ms	(* (log base) (log base))
11.0ms	(sqrt (+ (* re re) (* im im)))
11.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (log base))

series551.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

216.0ms	(* (log base) (log base))
178.0ms	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
113.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
44.0ms	(sqrt (+ (* re re) (* im im)))

simplify626.0ms

Counts: 116 → 116

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

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))
15.0ms	(* (log base) (log base))

series528.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

222.0ms	(* (log base) (log base))
165.0ms	(/ (* (log (- re)) (log base)) (* (log base) (log base)))
140.0ms	(* (log (- re)) (log base))

simplify11.0s

Counts: 95 → 95

prune1.0s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.8b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

140×	`times-frac`
69×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
45×	`pow1`
42×	`log-pow`
24×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `add-log-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 142

Calls

2 calls:

Slowest

7.0ms	(/ (log base) (log (- re)))
6.0ms	(/ 1 (/ (log base) (log (- re))))

series251.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

131.0ms	(/ 1 (/ (log base) (log (- re))))
119.0ms	(/ (log base) (log (- re)))

simplify1.2s

Counts: 148 → 148

prune1.4s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.8b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 96

Calls

2 calls:

Slowest

25.0ms	(* (/ 1 (log base)) (log (- re)))
8.0ms	(/ 1 (log base))

series422.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

253.0ms	(/ 1 (log base))
169.0ms	(* (/ 1 (log base)) (log (- re)))

simplify2.2s

Counts: 102 → 102

prune944.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 6.8b

regimes1.0s

Accuracy

49.3% (11.1b remaining)

Error of 18.3b against oracle of 7.2b and baseline of 29.1b

bsearch2.8s

end0.0ms

sample33.8s

Algorithm

intervals

Results

25.5s	7981×	body	10240	exit
5.3s	15779×	body	80	nan
2.0s	8000×	body	80	valid