Details

sample25.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	83
1	7	83
2	10	83
done	10	83

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ y 200.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
3×	`*-un-lft-identity` `add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `sub-neg` `times-frac` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--` `distribute-lft-out--`

Counts

1 → 15

Calls

1 calls:

17.0ms

(- x (/ y 200.0))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(- x (/ y 200.0))

simplify3.2s

Counts

18 → 18

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	39	3525
1	84	3154
2	186	3154
3	410	3154
4	1100	3154
5	3014	3154
done	5001	3154

prune81.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y 200.0))
0.1b	(sqrt (- x (/ y 200.0)))
0.1b	(sqrt (- x (/ y 200.0)))
0.3b	(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
46×	`sqrt-prod`
34×	`*-un-lft-identity`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `difference-of-squares`
13×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
7×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `sub-neg` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 119

Calls

4 calls:

8.0ms	(- x (/ y 200.0))
18.0ms	(sqrt (- x (/ y 200.0)))
27.0ms	(sqrt (- x (/ y 200.0)))
91.0ms	(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

series313.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- x (/ y 200.0))
119.0ms	(sqrt (- x (/ y 200.0)))
100.0ms	(sqrt (- x (/ y 200.0)))
44.0ms	(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

simplify4.1s

Counts

131 → 131

Iterations

Useful iterations: 4 (2.3s)

Iter	Nodes	Cost
0	131	35990
1	267	26913
2	635	26873
3	1441	26673
4	4503	26513
done	5014	26513

prune523.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (- x (/ y 200.0))))
0.1b	(sqrt (sqrt (- x (/ y 200.0))))
0.3b	(* (sqrt (- x (/ y 200.0))) (* (sqrt (sqrt (- x (/ y 200.0)))) (sqrt (sqrt (- x (/ y 200.0))))))
0.3b	(* (sqrt (sqrt (- x (/ y 200.0)))) (sqrt (sqrt (- x (/ y 200.0)))))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

138×	`sqrt-prod`
122×	`sqrt-div`
95×	`add-sqr-sqrt`
91×	`sqrt-pow1`
69×	`pow1`
47×	`pow1/2`
42×	`*-un-lft-identity`
39×	`pow-prod-up`
35×	`flip3--` `flip--`
32×	`frac-times`
22×	`swap-sqr` `add-cube-cbrt`
21×	`associate-l`
16×	`associate-*r/`
14×	`difference-of-squares`
13×	`associate-r`
12×	`pow-prod-down`
11×	`add-cbrt-cube` `add-exp-log` `pow-sqr` `unswap-sqr`
10×	`associate-*l/`
9×	`distribute-lft-out--`
7×	`times-frac`
4×	`rem-sqrt-square` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus`

Counts

4 → 217

Calls

4 calls:

19.0ms	(sqrt (sqrt (- x (/ y 200.0))))
14.0ms	(sqrt (sqrt (- x (/ y 200.0))))
169.0ms	(* (sqrt (- x (/ y 200.0))) (* (sqrt (sqrt (- x (/ y 200.0)))) (sqrt (sqrt (- x (/ y 200.0))))))
114.0ms	(* (sqrt (sqrt (- x (/ y 200.0)))) (sqrt (sqrt (- x (/ y 200.0)))))

series937.0ms

Counts

4 → 12

Calls

4 calls:

396.0ms	(sqrt (sqrt (- x (/ y 200.0))))
364.0ms	(sqrt (sqrt (- x (/ y 200.0))))
55.0ms	(* (sqrt (- x (/ y 200.0))) (* (sqrt (sqrt (- x (/ y 200.0)))) (sqrt (sqrt (- x (/ y 200.0))))))
122.0ms	(* (sqrt (sqrt (- x (/ y 200.0)))) (sqrt (sqrt (- x (/ y 200.0)))))

simplify4.2s

Counts

229 → 229

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	259	87512
1	631	61098
2	1326	60498
3	3332	60158
done	5004	59996

prune811.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes205.0ms

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	5	83
done	5	83

end0.0ms

sample435.0ms

Algorithm

intervals

Results

230.0ms

8000×

body

valid