Details

sample120.0ms

Algorithm

intervals

Results

14.0ms	284×	body	80	nan
13.0ms	256×	body	80	valid

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	11
1	16	11
2	19	11
3	21	11
done	21	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 84

Calls

2 calls:

30.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
93.0ms	(/ (- 1.0 x) (+ 1.0 x))

series159.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
52.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify1.8s

Counts

90 → 90

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	155	1324
1	341	1249
2	842	1175
3	2123	1159
done	5000	1143

prune261.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 x))
0.0b	(sqrt (* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
0.0b	(/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))
0.0b	(* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

184×	`*-un-lft-identity`
91×	`times-frac`
79×	`add-sqr-sqrt`
55×	`distribute-lft-out`
51×	`associate-l`
44×	`unpow-prod-down` `cube-prod`
36×	`add-cube-cbrt`
19×	`distribute-lft-out--` `difference-of-squares`
11×	`add-exp-log` `sum-cubes` `add-cbrt-cube`
9×	`pow1` `associate-/r*`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`sqrt-div` `associate-/l*`
4×	`frac-times` `associate-*r/` `associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `sqrt-pow1` `div-exp` `pow-prod-down` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `pow1/2` `diff-log` `div-sub` `clear-num` `sqrt-prod` `*-commutative`

Counts

4 → 181

Calls

4 calls:

16.0ms	(- (* x x) (* 1.0 x))
66.0ms	(sqrt (* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
61.0ms	(/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))
184.0ms	(* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series444.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* x x) (* 1.0 x))
213.0ms	(sqrt (* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
70.0ms	(/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))
86.0ms	(* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify2.1s

Counts

193 → 193

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	256	4413
1	825	3894
2	2990	3662
done	5001	3659

prune758.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	27
1	23	27
done	23	27

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
557.0ms	8241×	body	80	nan