Details

sample31.0ms

Algorithm

intervals

Results

12.0ms

293×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	4578
7	910
6	274
5	71
4	49
3	38
2	25
1	11
0	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

46.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify969.0ms

Counts

17 → 17

Iterations

Iter	Nodes
done	5000
3	1432
2	314
1	88
0	32

prune64.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

28.0ms	(cbrt (- (+ x y) (* x y)))
26.0ms	(cbrt (- (+ x y) (* x y)))
27.0ms	(cbrt (- (+ x y) (* x y)))
204.0ms	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))

series586.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (- (+ x y) (* x y)))
121.0ms	(cbrt (- (+ x y) (* x y)))
142.0ms	(cbrt (- (+ x y) (* x y)))
174.0ms	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))

simplify837.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1597
1	404
0	150

prune579.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite707.0ms

Algorithm

rewrite-expression-head

Rules

390×	`cbrt-div`
136×	`frac-times`
84×	`flip3-+` `flip-+`
68×	`associate-*l/`
36×	`cbrt-prod`
27×	`flip3--` `flip--`
26×	`associate-*r/`
18×	`*-un-lft-identity`
13×	`pow1` `add-exp-log`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow-prod-down`
7×	`pow1/3`
6×	`add-cbrt-cube` `associate-r` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`distribute-lft-out`
1×	`associate-l` `*-commutative`

Counts

4 → 156

Calls

4 calls:

650.0ms	(* (* (* (cbrt (cbrt (+ x (- y (* x y))))) (cbrt (cbrt (+ x (- y (* x y)))))) (cbrt (cbrt (+ x (- y (* x y)))))) (cbrt (- (+ x y) (* x y))))
16.0ms	(cbrt (cbrt (+ x (- y (* x y)))))
14.0ms	(cbrt (cbrt (+ x (- y (* x y)))))
14.0ms	(cbrt (cbrt (+ x (- y (* x y)))))

series698.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (* (* (cbrt (cbrt (+ x (- y (* x y))))) (cbrt (cbrt (+ x (- y (* x y)))))) (cbrt (cbrt (+ x (- y (* x y)))))) (cbrt (- (+ x y) (* x y))))
155.0ms	(cbrt (cbrt (+ x (- y (* x y)))))
164.0ms	(cbrt (cbrt (+ x (- y (* x y)))))
175.0ms	(cbrt (cbrt (+ x (- y (* x y)))))

simplify1.6s

Counts

168 → 168

Iterations

Iter	Nodes
done	5001
2	3338
1	919
0	338

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (- y (- (* x y) x))))
1.2b	(pow (cbrt (cbrt (- y (- (* x y) x)))) (* 2 3))
1.2b	(pow (cbrt (cbrt (- y (- (* x y) x)))) (* 2 3))
1.2b	(pow (cbrt (cbrt (- y (- (* x y) x)))) (* 2 3))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
33×	`unpow-prod-down`
23×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
7×	`pow1` `add-exp-log`
6×	`pow-pow`
4×	`cbrt-div` `add-cbrt-cube` `pow1/3` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`pow-to-exp` `pow-unpow` `pow-exp` `sqr-pow`
1×	`flip3--` `flip--`

Counts

4 → 90

Calls

4 calls:

18.0ms	(cbrt (cbrt (- y (- (* x y) x))))
47.0ms	(pow (cbrt (cbrt (- y (- (* x y) x)))) (* 2 3))
50.0ms	(pow (cbrt (cbrt (- y (- (* x y) x)))) (* 2 3))
46.0ms	(pow (cbrt (cbrt (- y (- (* x y) x)))) (* 2 3))

series864.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (cbrt (- y (- (* x y) x))))
259.0ms	(pow (cbrt (cbrt (- y (- (* x y) x)))) (* 2 3))
238.0ms	(pow (cbrt (cbrt (- y (- (* x y) x)))) (* 2 3))
183.0ms	(pow (cbrt (cbrt (- y (- (* x y) x)))) (* 2 3))

simplify765.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
2	1517
1	465
0	169

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes152.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	5

end0.0ms

sample730.0ms

Algorithm

intervals

Results

393.0ms	9141×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	320	valid