Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

330×

body

valid

simplify172.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	85
5	85
4	78
3	61
2	31
1	12
0	6

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 27

Calls

1 calls:

104.0ms

(* (* x y) (- 1.0 y))

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

(* (* x y) (- 1.0 y))

simplify6.2s

Counts

30 → 30

Iterations

Iter	Nodes
done	5011
3	2947
2	581
1	175
0	61

prune317.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 (* x y)) (* (- y) (* x y)))
0.2b	(* (- y) (* x y))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-l`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`insert-posit16`
1×	`+-commutative` `neg-mul-1` `sum-log` `flip3-+` `distribute-rgt-out` `associate-r` `unsub-neg` `*-commutative` `flip-+`

Counts

2 → 42

Calls

2 calls:

42.0ms	(+ (* 1.0 (* x y)) (* (- y) (* x y)))
66.0ms	(* (- y) (* x y))

series215.0ms

Counts

2 → 6

Calls

2 calls:

165.0ms	(+ (* 1.0 (* x y)) (* (- y) (* x y)))
50.0ms	(* (- y) (* x y))

simplify10.4s

Counts

48 → 48

Iterations

Iter	Nodes
done	5006
3	4115
2	814
1	220
0	75

prune522.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize128.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
9.8b	(cbrt (* (* x y) (- 1.0 y)))
9.8b	(cbrt (* (* x y) (- 1.0 y)))
9.8b	(cbrt (* (* x y) (- 1.0 y)))

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

137.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
34.0ms	(cbrt (* (* x y) (- 1.0 y)))
39.0ms	(cbrt (* (* x y) (- 1.0 y)))
67.0ms	(cbrt (* (* x y) (- 1.0 y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

400.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
290.0ms	(cbrt (* (* x y) (- 1.0 y)))
247.0ms	(cbrt (* (* x y) (- 1.0 y)))
285.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify6.3s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	3237
2	1089
1	425
0	170

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize199.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
9.8b	(cbrt (* (* x y) (- 1.0 y)))
9.8b	(cbrt (* (* x y) (- 1.0 y)))
9.9b	(cbrt (* x y))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

110.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
55.0ms	(cbrt (* (* x y) (- 1.0 y)))
68.0ms	(cbrt (* (* x y) (- 1.0 y)))
16.0ms	(cbrt (* x y))

series1.1s

Counts

4 → 12

Calls

4 calls:

386.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
311.0ms	(cbrt (* (* x y) (- 1.0 y)))
266.0ms	(cbrt (* (* x y) (- 1.0 y)))
181.0ms	(cbrt (* x y))

simplify6.7s

Counts

86 → 86

Iterations

Iter	Nodes
done	5006
3	3526
2	1141
1	464
0	187

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes554.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	24
3	24
2	18
1	14
0	8

end0.0ms

sample1.3s

Algorithm

intervals

Results

920.0ms

10772×

body

valid