Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

322×

body

valid

simplify264.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:

23.0ms	(* (- x 1.0) z)
9.0ms	(+ (* x y) (* (- x 1.0) z))

series65.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- x 1.0) z)
34.0ms	(+ (* x y) (* (- x 1.0) z))

simplify1.7s

Counts

39 → 39

Iterations

Useful iterations: 2 (84.0ms)

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

prune70.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))
0.2b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

4.0ms	(cbrt (- x 1.0))
4.0ms	(cbrt (- x 1.0))
4.0ms	(cbrt (- x 1.0))
39.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

series422.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (- x 1.0))
96.0ms	(cbrt (- x 1.0))
103.0ms	(cbrt (- x 1.0))
123.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

simplify1.2s

Counts

113 → 113

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	167	1563
1	370	1421
2	947	1353
3	2506	1256
done	5000	1243

prune312.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

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:

40.0ms	(* (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)))
5.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

series739.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
168.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
172.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
170.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify1.2s

Counts

99 → 99

Iterations

Useful iterations: done (1.2s)

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

prune250.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z)))))
1.0b	(pow (cbrt (cbrt (+ (* x y) (* (- x 1.0) z)))) 4)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-div`
16×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`flip3-+` `flip-+`
5×	`pow1` `add-exp-log`
4×	`frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
5.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
17.0ms	(cbrt (* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z)))))
11.0ms	(pow (cbrt (cbrt (+ (* x y) (* (- x 1.0) z)))) 4)

series825.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
175.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
230.0ms	(cbrt (* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z)))))
245.0ms	(pow (cbrt (cbrt (+ (* x y) (* (- x 1.0) z)))) 4)

simplify1.3s

Counts

79 → 79

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	183	2039
1	426	1913
2	978	1743
3	2912	1701
done	5002	1612

prune303.0ms

Pruning

5 alts after pruning (1 fresh and 4 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

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample492.0ms

Algorithm

intervals

Results

218.0ms

10068×

body

valid