Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

351×

body

valid

simplify40.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

14.0ms	(+ (* (+ (* x y) z) y) t)
32.0ms	(* (+ (* x y) z) y)

series119.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (* (+ (* x y) z) y) t)
54.0ms	(* (+ (* x y) z) y)

simplify553.0ms

Counts

37 → 37

Iterations

Useful iterations: 2 (112.0ms)

Iter	Nodes	Cost
0	70	445
1	192	425
2	892	393
done	5001	393

prune111.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

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))

rewrite88.0ms

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:

66.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
7.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))

series578.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
143.0ms	(cbrt (+ (* x y) z))
148.0ms	(cbrt (+ (* x y) z))
128.0ms	(cbrt (+ (* x y) z))

simplify877.0ms

Counts

99 → 99

Iterations

Useful iterations: done (873.0ms)

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

prune402.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
8.2b	(cbrt (* (+ (* x y) z) y))
8.2b	(cbrt (* (+ (* x y) z) y))
8.2b	(cbrt (* (+ (* x y) z) y))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

38.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
9.0ms	(cbrt (* (+ (* x y) z) y))
9.0ms	(cbrt (* (+ (* x y) z) y))
13.0ms	(cbrt (* (+ (* x y) z) y))

series729.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
163.0ms	(cbrt (* (+ (* x y) z) y))
156.0ms	(cbrt (* (+ (* x y) z) y))
155.0ms	(cbrt (* (+ (* x y) z) y))

simplify801.0ms

Counts

84 → 84

Iterations

Useful iterations: done (797.0ms)

Iter	Nodes	Cost
0	152	1616
1	378	1501
2	1263	1378
done	5000	1271

prune379.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

8.2b	(cbrt (* (+ (* x y) z) y))
8.2b	(cbrt (* (+ (* x y) z) y))
8.2b	(cbrt (* (+ (* x y) z) y))
8.2b	(cbrt (* (+ (* x y) z) y))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-div` `associate-*l/`
4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

15.0ms	(cbrt (* (+ (* x y) z) y))
16.0ms	(cbrt (* (+ (* x y) z) y))
19.0ms	(cbrt (* (+ (* x y) z) y))
16.0ms	(cbrt (* (+ (* x y) z) y))

series697.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (* (+ (* x y) z) y))
189.0ms	(cbrt (* (+ (* x y) z) y))
162.0ms	(cbrt (* (+ (* x y) z) y))
173.0ms	(cbrt (* (+ (* x y) z) y))

simplify1.4s

Counts

56 → 56

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	82	892
1	195	876
2	509	808
3	1967	744
done	5001	696

prune383.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes252.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.3s

Algorithm

intervals

Results

544.0ms

11216×

body

valid