Details

sample36.0ms

Algorithm

intervals

Results

14.0ms

366×

body

valid

simplify31.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	20	9
3	39	9
4	43	9
done	43	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

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:

7.0ms	(+ (* x y) z)
17.0ms	(+ (* (+ (* x y) z) y) t)
40.0ms	(* (+ (* x y) z) y)

series136.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (* x y) z)
65.0ms	(+ (* (+ (* x y) z) y) t)
46.0ms	(* (+ (* x y) z) y)

simplify1.8s

Counts

51 → 51

Iterations

Useful iterations: 3 (720.0ms)

Iter	Nodes	Cost
0	80	569
1	208	546
2	645	494
3	2191	486
done	5001	486

prune148.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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))

rewrite104.0ms

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:

74.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
8.0ms	(cbrt (+ (* x y) z))
7.0ms	(cbrt (+ (* x y) z))
12.0ms	(cbrt (+ (* x y) z))

series518.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
125.0ms	(cbrt (+ (* x y) z))
128.0ms	(cbrt (+ (* x y) z))
122.0ms	(cbrt (+ (* x y) z))

simplify3.4s

Counts

99 → 99

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	115	1590
1	267	1472
2	677	1378
3	1633	1255
4	4133	1231
done	5000	1158

prune447.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (pow (cbrt (+ (* x y) z)) 2))
0.6b	(cbrt (pow (cbrt (+ (* x y) z)) 2))
0.6b	(cbrt (cbrt (+ (* x y) z)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`flip3-+` `flip-+` `unpow2` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

11.0ms	(cbrt (+ (* x y) z))
12.0ms	(cbrt (pow (cbrt (+ (* x y) z)) 2))
17.0ms	(cbrt (pow (cbrt (+ (* x y) z)) 2))
6.0ms	(cbrt (cbrt (+ (* x y) z)))

series688.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (+ (* x y) z))
204.0ms	(cbrt (pow (cbrt (+ (* x y) z)) 2))
169.0ms	(cbrt (pow (cbrt (+ (* x y) z)) 2))
153.0ms	(cbrt (cbrt (+ (* x y) z)))

simplify1.6s

Counts

79 → 79

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	135	1205
1	322	1068
2	723	989
3	1788	969
done	5000	953

prune504.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

1.0ms	(cbrt x)
6.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
1.0ms	(cbrt y)

series936.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(cbrt x)
183.0ms	(cbrt (+ (* x y) z))
166.0ms	(cbrt (+ (* x y) z))
282.0ms	(cbrt y)

simplify2.1s

Counts

60 → 60

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	91	530
1	203	508
2	459	470
3	1070	448
4	2522	434
done	5000	432

prune282.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes348.0ms

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

sample1.8s

Algorithm

intervals

Results

645.0ms

11320×

body

valid