Details

sample192.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
20.0ms	277×	body	80	nan

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
3	21
2	19
1	16
0	9

prune90.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 3 expressions with local error:

0.0b	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b	(/ (- 1.0 x) (+ 1.0 x))
0.0b	(sqrt (/ (- 1.0 x) (+ 1.0 x)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
41×	`times-frac`
26×	`sqrt-prod`
24×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`add-log-exp`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `sqrt-div` `div-sub` `div-exp` `flip--`

Counts

3 → 91

Calls

3 calls:

1.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
38.0ms	(/ (- 1.0 x) (+ 1.0 x))
72.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))

series726.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
55.0ms	(/ (- 1.0 x) (+ 1.0 x))
664.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))

simplify1.1s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1269
1	348
0	162

prune501.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite330.0ms

Algorithm

rewrite-expression-head

Rules

288×	`*-un-lft-identity`
170×	`times-frac`
162×	`add-sqr-sqrt`
160×	`cbrt-prod`
78×	`add-cube-cbrt`
51×	`swap-sqr`
50×	`distribute-lft-out`
42×	`distribute-lft-out--`
31×	`pow1`
30×	`difference-of-squares`
29×	`associate-r` `associate-l`
16×	`cbrt-div`
15×	`sqrt-pow1` `pow1/3`
12×	`associate-/r/`
11×	`pow-prod-up`
10×	`add-exp-log` `associate-/l*`
9×	`unswap-sqr`
8×	`associate-/r*` `add-cbrt-cube`
7×	`pow-plus` `sqrt-div` `pow-prod-down`
6×	`frac-times` `flip3-+` `associate-*l/` `flip-+` `div-inv`
5×	`pow-sqr`
4×	`associate-*r/` `add-log-exp` `associate-/l/`
3×	`pow2`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `flip--`
1×	`pow1/2` `pow3` `prod-exp` `*-commutative` `sqrt-prod` `cbrt-unprod`

Counts

4 → 262

Calls

4 calls:

30.0ms	(/ (- 1.0 x) (+ 1.0 x))
36.0ms	(/ (- 1.0 x) (+ 1.0 x))
129.0ms	(sqrt (* (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))))
120.0ms	(* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))

series467.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ (- 1.0 x) (+ 1.0 x))
41.0ms	(/ (- 1.0 x) (+ 1.0 x))
122.0ms	(sqrt (* (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))))
247.0ms	(* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))

simplify2.2s

Counts

274 → 274

Iterations

Iter	Nodes
done	5000
2	2512
1	619
0	295

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample1.5s

Algorithm

intervals

Results

614.0ms	8000×	body	80	valid
529.0ms	8007×	body	80	nan