Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

301×

body

valid

simplify882.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	11	7
2	25	7
3	37	7
4	48	7
5	70	7
6	80	7
7	90	7
8	102	7
9	112	7
10	122	7
11	135	7
12	155	7
13	183	7
14	250	7
15	325	7
16	390	7
17	410	7
done	410	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`diff-log`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `associate--l+` `sum-log` `add-cbrt-cube` `flip--`

Counts

1 → 14

Calls

1 calls:

42.0ms

(- (+ x y) (* x y))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(- (+ x y) (* x y))

simplify1.1s

Counts

17 → 17

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	32	189
1	88	182
2	306	168
3	1232	168
done	5000	168

prune40.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (+ x y) (* x y)))
0.5b	(cbrt (- (+ x y) (* x y)))
0.5b	(cbrt (- (+ x y) (* x y)))
0.6b	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

19.0ms	(cbrt (- (+ x y) (* x y)))
18.0ms	(cbrt (- (+ x y) (* x y)))
26.0ms	(cbrt (- (+ x y) (* x y)))
178.0ms	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))

series525.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (- (+ x y) (* x y)))
125.0ms	(cbrt (- (+ x y) (* x y)))
113.0ms	(cbrt (- (+ x y) (* x y)))
168.0ms	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))

simplify1.9s

Counts

99 → 99

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	150	2367
1	374	2175
2	1052	2023
3	3140	1796
done	5000	1730

prune294.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

8.1b	(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
13.7b	(/ (* (cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y)))) (cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))) (* (cbrt (+ (+ x y) (* x y))) (cbrt (+ (+ x y) (* x y)))))
29.4b	(cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))
29.4b	(cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`add-exp-log`
9×	`flip3--` `flip--`
8×	`cbrt-prod` `frac-times` `associate-/r/` `add-cbrt-cube` `associate-/l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+` `add-log-exp`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod`
3×	`difference-of-squares`
2×	`pow1/3` `associate--l+`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 80

Calls

4 calls:

36.0ms	(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
174.0ms	(/ (* (cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y)))) (cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))) (* (cbrt (+ (+ x y) (* x y))) (cbrt (+ (+ x y) (* x y)))))
28.0ms	(cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))
26.0ms	(cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))

series642.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
301.0ms	(/ (* (cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y)))) (cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))) (* (cbrt (+ (+ x y) (* x y))) (cbrt (+ (+ x y) (* x y)))))
141.0ms	(cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))
157.0ms	(cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))

simplify972.0ms

Counts

92 → 92

Iterations

Useful iterations: done (969.0ms)

Iter	Nodes	Cost
0	191	4077
1	557	3669
2	1864	2939
done	5001	2755

prune479.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes82.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
done	7	7

end0.0ms

sample735.0ms

Algorithm

intervals

Results

385.0ms	9143×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid