Details

sample44.0ms

Algorithm

intervals

Results

18.0ms

363×

body

valid

simplify29.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	20	9
3	41	9
4	59	9
5	63	9
done	63	9

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (+ (* x y) z) y) t)
0.0b	(+ (* x y) z)
0.1b	(* (+ (* x y) z) y)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `associate-*l/` `sum-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

15.0ms	(+ (* (+ (* x y) z) y) t)
8.0ms	(+ (* x y) z)
41.0ms	(* (+ (* x y) z) y)

series172.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+ (* (+ (* x y) z) y) t)
34.0ms	(+ (* x y) z)
50.0ms	(* (+ (* x y) z) y)

simplify1.0s

Counts

51 → 51

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	80	569
1	213	546
2	893	504
done	5002	504

prune144.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

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:

62.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
8.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))

series676.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
152.0ms	(cbrt (+ (* x y) z))
168.0ms	(cbrt (+ (* x y) z))
169.0ms	(cbrt (+ (* x y) z))

simplify1.0s

Counts

99 → 99

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	115	1590
1	291	1472
2	1076	1378
done	5001	1302

prune454.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (cbrt (+ (* x y) z)))
0.9b	(pow (cbrt (cbrt (+ (* x y) z))) (+ 3 1))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`unpow-prod-down`
8×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow-unpow` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`pow-pow`
1×	`unpow-prod-up` `pow-to-exp` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

6.0ms	(cbrt (+ (* x y) z))
11.0ms	(cbrt (+ (* x y) z))
13.0ms	(cbrt (cbrt (+ (* x y) z)))
46.0ms	(pow (cbrt (cbrt (+ (* x y) z))) (+ 3 1))

series837.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt (+ (* x y) z))
195.0ms	(cbrt (+ (* x y) z))
185.0ms	(cbrt (cbrt (+ (* x y) z)))
253.0ms	(pow (cbrt (cbrt (+ (* x y) z))) (+ 3 1))

simplify922.0ms

Counts

80 → 80

Iterations

Useful iterations: done (917.0ms)

Iter	Nodes	Cost
0	130	1178
1	384	1033
2	1285	951
done	5001	919

prune566.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (+ (* x y) z)))
0.6b	(cbrt (cbrt (+ (* x y) z)))
0.6b	(cbrt (cbrt (+ (* x y) z)))
0.9b	(pow (cbrt (cbrt (+ (* x y) z))) (+ 3 1))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
16×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`cbrt-div`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow-unpow` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`pow-pow`
1×	`unpow-prod-up` `pow-to-exp` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

12.0ms	(cbrt (cbrt (+ (* x y) z)))
13.0ms	(cbrt (cbrt (+ (* x y) z)))
13.0ms	(cbrt (cbrt (+ (* x y) z)))
35.0ms	(pow (cbrt (cbrt (+ (* x y) z))) (+ 3 1))

series830.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt (cbrt (+ (* x y) z)))
197.0ms	(cbrt (cbrt (+ (* x y) z)))
190.0ms	(cbrt (cbrt (+ (* x y) z)))
265.0ms	(pow (cbrt (cbrt (+ (* x y) z))) (+ 3 1))

simplify720.0ms

Counts

86 → 86

Iterations

Useful iterations: done (716.0ms)

Iter	Nodes	Cost
0	115	1316
1	331	1139
2	982	1079
done	5000	1041

prune555.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes302.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample1.5s

Algorithm

intervals

Results

692.0ms

11313×

body

valid