Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

334×

body

valid

simplify869.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	26	7
3	55	7
4	103	7
5	147	7
6	185	7
7	271	7
8	460	7
9	707	7
10	776	7
11	780	7
done	780	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

16.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify1.6s

Counts

36 → 36

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	84	448
1	239	433
2	870	401
3	3699	401
done	5000	401

prune67.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

8.0ms	(+ (* (+ x y) 1.0) (* (- z) (+ x y)))
12.0ms	(* (- z) (+ x y))

series87.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ (* (+ x y) 1.0) (* (- z) (+ x y)))
37.0ms	(* (- z) (+ x y))

simplify662.0ms

Counts

56 → 56

Iterations

Useful iterations: done (660.0ms)

Iter	Nodes	Cost
0	109	766
1	363	707
2	1456	609
done	5001	589

prune124.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z) (+ x y))
0.3b	(* (sqrt (* (- z) (+ x y))) (sqrt (* (- z) (+ x y))))
3.3b	(sqrt (* (- z) (+ x y)))
3.3b	(sqrt (* (- z) (+ x y)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`add-sqr-sqrt` `sqrt-div`
14×	`-un-lft-identity` `associate-l*`
12×	`add-cube-cbrt` `pow1/2`
10×	`pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `neg-mul-1` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 114

Calls

4 calls:

12.0ms	(* (- z) (+ x y))
32.0ms	(* (sqrt (* (- z) (+ x y))) (sqrt (* (- z) (+ x y))))
4.0ms	(sqrt (* (- z) (+ x y)))
4.0ms	(sqrt (* (- z) (+ x y)))

series346.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (- z) (+ x y))
192.0ms	(* (sqrt (* (- z) (+ x y))) (sqrt (* (- z) (+ x y))))
58.0ms	(sqrt (* (- z) (+ x y)))
56.0ms	(sqrt (* (- z) (+ x y)))

simplify672.0ms

Counts

126 → 126

Iterations

Useful iterations: done (668.0ms)

Iter	Nodes	Cost
0	149	1578
1	380	1178
2	1436	1086
done	5000	1081

prune265.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	15	12
2	18	12
3	23	12
done	23	12

end0.0ms

sample401.0ms

Algorithm

intervals

Results

203.0ms	10101×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid