Details

sample31.0ms

Algorithm

intervals

Results

12.0ms

324×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	15	9
2	29	9
3	65	9
4	149	9
5	232	9
6	327	9
7	367	9
8	416	9
9	756	9
10	3223	9
done	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) z)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt` `associate-r` `associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

7.0ms	(+ x (* (* (- y x) 6.0) z))
27.0ms	(* (- y x) 6.0)
50.0ms	(* (* (- y x) 6.0) z)

series148.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ x (* (* (- y x) 6.0) z))
38.0ms	(* (- y x) 6.0)
47.0ms	(* (* (- y x) 6.0) z)

simplify904.0ms

Counts

62 → 62

Iterations

Useful iterations: 2 (172.0ms)

Iter	Nodes	Cost
0	98	644
1	254	603
2	1302	521
done	5000	521

prune134.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* z (- y x)) 6.0))
0.0b	(* z (- y x))
0.2b	(* (* z (- y x)) 6.0)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`-un-lft-identity` `associate-r*`
6×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-l/` `-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

10.0ms	(+ x (* (* z (- y x)) 6.0))
35.0ms	(* z (- y x))
47.0ms	(* (* z (- y x)) 6.0)

series149.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ x (* (* z (- y x)) 6.0))
41.0ms	(* z (- y x))
59.0ms	(* (* z (- y x)) 6.0)

simplify776.0ms

Counts

66 → 66

Iterations

Useful iterations: done (774.0ms)

Iter	Nodes	Cost
0	99	682
1	267	643
2	1190	559
done	5001	553

prune146.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (* z 6.0)))
0.2b	(* (- y x) (* z 6.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

8.0ms	(+ x (* (- y x) (* z 6.0)))
38.0ms	(* (- y x) (* z 6.0))

series94.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ x (* (- y x) (* z 6.0)))
45.0ms	(* (- y x) (* z 6.0))

simplify2.3s

Counts

39 → 39

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	75	468
1	206	438
2	722	376
3	3937	376
done	5000	376

prune84.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- y x) (* z 6.0))) (cbrt (* (- y x) (* z 6.0))))
3.4b	(cbrt (* (- y x) (* z 6.0)))
3.4b	(cbrt (* (- y x) (* z 6.0)))
3.4b	(cbrt (* (- y x) (* z 6.0)))

rewrite148.0ms

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:

69.0ms	(* (cbrt (* (- y x) (* z 6.0))) (cbrt (* (- y x) (* z 6.0))))
26.0ms	(cbrt (* (- y x) (* z 6.0)))
31.0ms	(cbrt (* (- y x) (* z 6.0)))
20.0ms	(cbrt (* (- y x) (* z 6.0)))

series933.0ms

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (cbrt (* (- y x) (* z 6.0))) (cbrt (* (- y x) (* z 6.0))))
194.0ms	(cbrt (* (- y x) (* z 6.0)))
191.0ms	(cbrt (* (- y x) (* z 6.0)))
226.0ms	(cbrt (* (- y x) (* z 6.0)))

simplify625.0ms

Counts

84 → 84

Iterations

Useful iterations: done (622.0ms)

Iter	Nodes	Cost
0	160	1610
1	403	1491
2	1450	1367
done	5001	1260

prune362.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes137.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.3s

Algorithm

intervals

Results

775.0ms

10004×

body

valid