Details

sample32.0ms

Algorithm

intervals

Results

10.0ms	222×	body	80	valid
5.0ms	28×	body	640	valid
3.0ms	22×	body	320	valid
2.0ms	8×	body	1280	valid
1.0ms	8×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1788
5	612
4	236
3	78
2	27
1	13
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
2.3b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`distribute-rgt-in` `frac-times` `pow1` `associate-+r+` `sub-neg` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
2×	`associate-l/` `associate-r/` `insert-posit16` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

39.0ms	(* (- 1.0 x) (- 1.0 y))
15.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- 1.0 x) (- 1.0 y))
40.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify1.2s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
2	1052
1	287
0	103

prune211.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`distribute-rgt-in` `pow1` `associate-+l+` `sub-neg` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/` `insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

15.0ms	(+ (* y (- x 1.0)) 1.0)
31.0ms	(* y (- x 1.0))

series63.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* y (- x 1.0)) 1.0)
36.0ms	(* y (- x 1.0))

simplify1.4s

Counts

49 → 49

Iterations

Iter	Nodes
done	5004
3	1772
2	479
1	183
0	75

prune111.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))
0.2b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

4.0ms	(cbrt (- x 1.0))
4.0ms	(cbrt (- x 1.0))
4.0ms	(cbrt (- x 1.0))
41.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

series508.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (- x 1.0))
119.0ms	(cbrt (- x 1.0))
113.0ms	(cbrt (- x 1.0))
126.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

simplify1.8s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
3	2660
2	986
1	394
0	169

prune425.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample699.0ms

Algorithm

intervals

Results

259.0ms	6803×	body	80	valid
152.0ms	850×	body	640	valid
79.0ms	631×	body	320	valid
59.0ms	443×	body	1280	valid
19.0ms	341×	body	160	valid