Details

sample25.0ms

Algorithm

intervals

Results

17.0ms

332×

body

valid

simplify22.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	46
4	46
3	39
2	23
1	10
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

7.0ms	(- 1.0 (* x y))
22.0ms	(* x (- 1.0 (* x y)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- 1.0 (* x y))
74.0ms	(* x (- 1.0 (* x y)))

simplify2.3s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
3	4785
2	623
1	152
0	61

prune170.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `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 → 91

Calls

4 calls:

27.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
4.0ms	(cbrt (- 1.0 (* x y)))
4.0ms	(cbrt (- 1.0 (* x y)))
4.0ms	(cbrt (- 1.0 (* x y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

283.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
322.0ms	(cbrt (- 1.0 (* x y)))
303.0ms	(cbrt (- 1.0 (* x y)))
364.0ms	(cbrt (- 1.0 (* x y)))

simplify1.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1543
1	384
0	148

prune518.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

86×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
14×	`associate-*l/`
10×	`cbrt-prod`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 79

Calls

4 calls:

2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
39.0ms	(cbrt (* (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))) (cbrt (- 1.0 (* x y)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

309.0ms	(cbrt (- 1.0 (* x y)))
316.0ms	(cbrt (- 1.0 (* x y)))
354.0ms	(cbrt (- 1.0 (* x y)))
296.0ms	(cbrt (* (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))) (cbrt (- 1.0 (* x y)))))

simplify1.1s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	899
1	335
0	173

prune570.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

7.0ms	(* (cbrt x) (cbrt x))
5.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

335.0ms	(* (cbrt x) (cbrt x))
285.0ms	(cbrt x)
293.0ms	(cbrt x)
285.0ms	(cbrt x)

simplify1.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	731
1	140
0	63

prune370.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes249.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

809.0ms

10738×

body

valid