Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

322×

body

valid

simplify838.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	34	9
4	49	9
5	56	9
6	62	9
7	79	9
8	106	9
9	130	9
10	164	9
11	192	9
12	205	9
13	214	9
done	214	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
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 → 33

Calls

2 calls:

46.0ms	(* (- x 1.0) z)
19.0ms	(+ (* x y) (* (- x 1.0) z))

series102.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (- x 1.0) z)
61.0ms	(+ (* x y) (* (- x 1.0) z))

simplify2.5s

Counts

39 → 39

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	71	405
1	187	373
2	675	345
3	2946	345
done	5000	345

prune86.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
0.5b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.5b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.5b	(cbrt (+ (* x y) (* (- x 1.0) z)))

rewrite94.0ms

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:

69.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
5.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
8.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
8.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

series933.0ms

Counts

4 → 12

Calls

4 calls:

317.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
206.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
216.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
193.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify1.7s

Counts

99 → 99

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	132	2479
1	317	2308
2	840	2128
3	2510	1908
done	5001	1862

prune328.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (- (* x y) (* (- x 1.0) z)))
1.9b	(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
27.7b	(cbrt (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--`
2×	`difference-of-squares`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 53

Calls

4 calls:

5.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
7.0ms	(cbrt (- (* x y) (* (- x 1.0) z)))
49.0ms	(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
28.0ms	(cbrt (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))))

series849.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
191.0ms	(cbrt (- (* x y) (* (- x 1.0) z)))
109.0ms	(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
363.0ms	(cbrt (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))))

simplify1.1s

Counts

65 → 65

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	163	1655
1	404	1561
2	1291	1351
done	5001	1316

prune337.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes101.0ms

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	8	9
1	11	9
done	11	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

519.0ms

10098×

body

valid