Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

333×

body

valid

simplify222.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	29	9
4	38	9
5	45	9
6	56	9
7	77	9
8	114	9
9	162	9
10	206	9
11	232	9
12	233	9
done	233	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z (- 1.0 y)))
0.0b	(* z (- 1.0 y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

3.0ms	(+ (* x y) (* z (- 1.0 y)))
10.0ms	(* z (- 1.0 y))

series65.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (* x y) (* z (- 1.0 y)))
36.0ms	(* z (- 1.0 y))

simplify1.3s

Counts

47 → 47

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	77	459
1	193	437
2	626	397
3	2403	397
done	5001	397

prune76.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 y))
0.0b	(sqrt (- 1.0 y))
0.0b	(* z (sqrt (- 1.0 y)))
0.1b	(* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

4.0ms	(sqrt (- 1.0 y))
4.0ms	(sqrt (- 1.0 y))
11.0ms	(* z (sqrt (- 1.0 y)))
25.0ms	(* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(sqrt (- 1.0 y))
211.0ms	(sqrt (- 1.0 y))
57.0ms	(* z (sqrt (- 1.0 y)))
36.0ms	(* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

simplify2.3s

Counts

103 → 103

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	138	1251
1	341	1023
2	1112	919
3	4622	911
done	5000	909

prune218.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x y) (* x y))
1.4b	(+ (* (* z (- 1.0 y)) (- (* z (- 1.0 y)) (* x y))) (* (* x y) (* x y)))
2.3b	(+ (pow (* x y) 3) (pow (* z (- 1.0 y)) 3))
38.5b	(/ (+ (pow (* x y) 3) (pow (* z (- 1.0 y)) 3)) (+ (* (* z (- 1.0 y)) (- (* z (- 1.0 y)) (* x y))) (* (* x y) (* x y))))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
24×	`*-un-lft-identity`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
15×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`associate-+l+`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`prod-exp` `associate--l+` `cbrt-unprod` `add-log-exp`
6×	`sub-neg`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`flip3-+` `pow-sqr` `pow-prod-up` `flip-+`
3×	`associate-/r*`
2×	`+-commutative` `pow-plus` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 109

Calls

4 calls:

10.0ms	(* (* x y) (* x y))
26.0ms	(+ (* (* z (- 1.0 y)) (- (* z (- 1.0 y)) (* x y))) (* (* x y) (* x y)))
8.0ms	(+ (pow (* x y) 3) (pow (* z (- 1.0 y)) 3))
62.0ms	(/ (+ (pow (* x y) 3) (pow (* z (- 1.0 y)) 3)) (+ (* (* z (- 1.0 y)) (- (* z (- 1.0 y)) (* x y))) (* (* x y) (* x y))))

series466.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x y) (* x y))
104.0ms	(+ (* (* z (- 1.0 y)) (- (* z (- 1.0 y)) (* x y))) (* (* x y) (* x y)))
125.0ms	(+ (pow (* x y) 3) (pow (* z (- 1.0 y)) 3))
206.0ms	(/ (+ (pow (* x y) 3) (pow (* z (- 1.0 y)) 3)) (+ (* (* z (- 1.0 y)) (- (* z (- 1.0 y)) (* x y))) (* (* x y) (* x y))))

simplify845.0ms

Counts

121 → 121

Iterations

Useful iterations: 2 (171.0ms)

Iter	Nodes	Cost
0	188	3748
1	493	3489
2	2241	3233
done	5000	3233

prune278.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample437.0ms

Algorithm

intervals

Results

237.0ms

10093×

body

valid