Details

sample17.0ms

Algorithm

intervals

Results

6.0ms

326×

body

valid

simplify54.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	26	3
2	56	3
3	137	3
4	229	3
5	289	3
6	379	3
7	582	3
8	878	3
9	1193	3
10	1234	3
11	1234	3
done	1234	3

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))

rewrite36.0ms

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:

35.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify29.0ms

Counts

36 → 36

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	240	207
1	997	192
2	5001	190
done	5001	190

prune67.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

22.0ms	(* (- z) (+ x y))
14.0ms	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* (- z) (+ x y))
50.0ms	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))

simplify47.0ms

Counts

59 → 59

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	387	384
1	1802	333
2	5003	332
done	5003	332

prune120.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

11.0ms	(+ (* (- z) x) (* (- z) y))
26.0ms	(+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* (- z) x) (* (- z) y))
48.0ms	(+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y)))

simplify53.0ms

Counts

45 → 45

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	336	465
1	1695	407
2	5001	383
done	5001	383

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y))))
0.0b	(+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y)))
0.0b	(+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y)))
0.3b	(* (sqrt (+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y)))) (sqrt (+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y)))))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

90×	`sqrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
26×	`add-sqr-sqrt` `sqrt-prod`
20×	`pow1`
14×	`add-log-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-lft-neg-out`
9×	`sqrt-pow1` `pow1/2` `swap-sqr`
7×	`distribute-rgt-out` `associate-r` `associate-l` `distribute-lft-out`
6×	`add-exp-log` `associate-*l/` `sum-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`associate-+r-` `associate-+l+` `distribute-neg-out` `unsub-neg` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 168

Calls

4 calls:

36.0ms	(sqrt (+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y))))
26.0ms	(+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y)))
25.0ms	(+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y)))
172.0ms	(* (sqrt (+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y)))) (sqrt (+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y)))))

series385.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(sqrt (+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y))))
50.0ms	(+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y)))
48.0ms	(+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y)))
150.0ms	(* (sqrt (+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y)))) (sqrt (+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y)))))

simplify105.0ms

Counts

180 → 180

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	589	5068
1	2580	4840
2	5002	4736
done	5002	4736

prune503.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes98.0ms

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	9	3
1	9	3
done	9	3

end0.0ms

sample450.0ms

Algorithm

intervals

Results

183.0ms	10116×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid