Details

sample49.0ms

Algorithm

intervals

Results

19.0ms

341×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	34	9
4	53	9
5	64	9
6	75	9
7	96	9
8	136	9
9	377	9
10	1748	9
done	5001	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.0b	(+ (* x y) (* (- 1.0 x) z))

rewrite56.0ms

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:

38.0ms	(* (- 1.0 x) z)
17.0ms	(+ (* x y) (* (- 1.0 x) z))

series110.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* (- 1.0 x) z)
60.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify867.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (167.0ms)

Iter	Nodes	Cost
0	71	405
1	190	379
2	768	345
done	5000	345

prune238.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite31.0ms

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:

22.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.5s

Counts

4 → 12

Calls

4 calls:

402.0ms	(* (cbrt z) (cbrt z))
371.0ms	(cbrt z)
370.0ms	(cbrt z)
359.0ms	(cbrt z)

simplify2.2s

Counts

85 → 85

Iterations

Useful iterations: done (2.2s)

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

prune563.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* (* (sqrt z) (- 1.0 x)) (sqrt z)))
0.1b	(* (sqrt z) (- 1.0 x))
0.2b	(* (* (sqrt z) (- 1.0 x)) (sqrt z))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

17.0ms	(+ (* x y) (* (* (sqrt z) (- 1.0 x)) (sqrt z)))
48.0ms	(* (sqrt z) (- 1.0 x))
93.0ms	(* (* (sqrt z) (- 1.0 x)) (sqrt z))

series202.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ (* x y) (* (* (sqrt z) (- 1.0 x)) (sqrt z)))
69.0ms	(* (sqrt z) (- 1.0 x))
57.0ms	(* (* (sqrt z) (- 1.0 x)) (sqrt z))

simplify1.5s

Counts

73 → 73

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	125	921
1	348	847
2	1693	759
done	5000	645

prune372.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 z) (* x (- y z)))
0.0b	(* x (- y z))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
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 → 41

Calls

2 calls:

18.0ms	(+ (* 1.0 z) (* x (- y z)))
37.0ms	(* x (- y z))

series119.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (* 1.0 z) (* x (- y z)))
62.0ms	(* x (- y z))

simplify2.9s

Counts

47 → 47

Iterations

Useful iterations: 2 (157.0ms)

Iter	Nodes	Cost
0	76	459
1	206	425
2	700	397
3	3585	397
done	5000	397

prune201.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes295.0ms

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	8	9
1	11	9
done	11	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

509.0ms

10085×

body

valid