Details

sample53.0ms

Algorithm

intervals

Results

23.0ms	827×	body	80	nan
9.0ms	256×	body	80	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	12	13
2	16	13
done	16	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.0b	(/ (sqrt (- 1.0 (* x x))) x)
0.0b	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
33×	`times-frac`
28×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
16×	`sqrt-prod`
8×	`log-prod` `distribute-lft-out`
7×	`associate-/l*`
6×	`add-exp-log`
5×	`add-cbrt-cube` `div-inv` `add-log-exp`
4×	`pow1` `difference-of-squares`
3×	`log-div` `associate-/r*`
2×	`distribute-rgt-out` `flip3-+` `sqrt-div` `frac-add` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `sum-log` `log-pow` `flip--`

Counts

3 → 82

Calls

3 calls:

31.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
12.0ms	(/ (sqrt (- 1.0 (* x x))) x)
36.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series521.0ms

Counts

3 → 9

Calls

3 calls:

289.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
128.0ms	(/ (sqrt (- 1.0 (* x x))) x)
104.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify1.9s

Counts

91 → 91

Iterations

Useful iterations: 3 (917.0ms)

Iter	Nodes	Cost
0	207	1678
1	458	1578
2	1245	1459
3	4823	1436
done	5002	1436

prune214.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ (sqrt (- 1.0 (* x x))) x))
0.4b	(cbrt (/ (sqrt (- 1.0 (* x x))) x))
0.4b	(cbrt (/ (sqrt (- 1.0 (* x x))) x))
0.5b	(* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

211×	`cbrt-prod`
191×	`add-sqr-sqrt`
175×	`times-frac`
110×	`add-cube-cbrt` `*-un-lft-identity`
98×	`sqrt-prod`
34×	`swap-sqr`
28×	`associate-r` `associate-l`
21×	`difference-of-squares`
16×	`unswap-sqr`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 229

Calls

4 calls:

5.0ms	(cbrt (/ (sqrt (- 1.0 (* x x))) x))
5.0ms	(cbrt (/ (sqrt (- 1.0 (* x x))) x))
5.0ms	(cbrt (/ (sqrt (- 1.0 (* x x))) x))
58.0ms	(* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

289.0ms	(cbrt (/ (sqrt (- 1.0 (* x x))) x))
293.0ms	(cbrt (/ (sqrt (- 1.0 (* x x))) x))
287.0ms	(cbrt (/ (sqrt (- 1.0 (* x x))) x))
247.0ms	(* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x)))

simplify832.0ms

Counts

241 → 241

Iterations

Useful iterations: done (819.0ms)

Iter	Nodes	Cost
0	309	6351
1	581	5941
2	1617	5733
done	5001	5461

prune760.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	10	13
done	10	13

end0.0ms

sample1.5s

Algorithm

intervals

Results

684.0ms	24075×	body	80	nan
284.0ms	8000×	body	80	valid