Details

sample37.0ms

Algorithm

intervals

Results

15.0ms

327×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	31	7
4	50	7
5	66	7
6	75	7
7	93	7
8	232	7
9	621	7
10	2712	7
done	5000	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

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:

12.0ms	(+ x (* (- y x) z))
47.0ms	(* (- y x) z)

series76.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ x (* (- y x) z))
34.0ms	(* (- y x) z)

simplify580.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	68	357
1	168	337
2	651	303
done	5000	303

prune72.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

13.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

311.0ms	(* (cbrt z) (cbrt z))
297.0ms	(cbrt z)
331.0ms	(cbrt z)
299.0ms	(cbrt z)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune294.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cbrt (pow (* (- y x) z) 3)))
0.0b	(* (- y x) z)
0.3b	(pow (* (- y x) z) 3)
31.8b	(cbrt (pow (* (- y x) z) 3))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*l/` `add-log-exp`
5×	`associate-l`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-r` `flip--`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

27.0ms	(+ x (cbrt (pow (* (- y x) z) 3)))
43.0ms	(* (- y x) z)
21.0ms	(pow (* (- y x) z) 3)
9.0ms	(cbrt (pow (* (- y x) z) 3))

series263.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ x (cbrt (pow (* (- y x) z) 3)))
44.0ms	(* (- y x) z)
67.0ms	(pow (* (- y x) z) 3)
64.0ms	(cbrt (pow (* (- y x) z) 3))

simplify1.7s

Counts

89 → 89

Iterations

Useful iterations: 2 (431.0ms)

Iter	Nodes	Cost
0	136	1039
1	386	833
2	2245	779
done	5002	779

prune329.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `associate-+r+` `diff-log` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 28

Calls

2 calls:

26.0ms	(+ x (- (* z y) (* x z)))
14.0ms	(- (* z y) (* x z))

series89.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ x (- (* z y) (* x z)))
39.0ms	(- (* z y) (* x z))

simplify1.5s

Counts

34 → 34

Iterations

Useful iterations: 3 (500.0ms)

Iter	Nodes	Cost
0	51	418
1	149	388
2	498	298
3	2512	296
done	5000	296

prune103.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample818.0ms

Algorithm

intervals

Results

371.0ms

10113×

body

valid