Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

340×

body

valid

simplify35.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	58
4	58
3	44
2	23
1	10
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`prod-diff`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`sub-neg` `fma-neg` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

5.0ms	(- 1.0 (* x y))
24.0ms	(* x (- 1.0 (* x y)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- 1.0 (* x y))
47.0ms	(* x (- 1.0 (* x y)))

simplify3.1s

Counts

60 → 60

Iterations

Iter	Nodes
done	5002
3	2601
2	575
1	188
0	83

prune211.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (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)))

rewrite76.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `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 → 99

Calls

4 calls:

55.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
5.0ms	(cbrt (- 1.0 (* x y)))
6.0ms	(cbrt (- 1.0 (* x y)))
6.0ms	(cbrt (- 1.0 (* x y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

328.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
287.0ms	(cbrt (- 1.0 (* x y)))
314.0ms	(cbrt (- 1.0 (* x y)))
305.0ms	(cbrt (- 1.0 (* x y)))

simplify2.8s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
3	4624
2	1186
1	397
0	152

prune606.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (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)))

rewrite53.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `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 → 99

Calls

4 calls:

28.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
5.0ms	(cbrt (- 1.0 (* x y)))
6.0ms	(cbrt (- 1.0 (* x y)))
12.0ms	(cbrt (- 1.0 (* x y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

307.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
340.0ms	(cbrt (- 1.0 (* x y)))
312.0ms	(cbrt (- 1.0 (* x y)))
316.0ms	(cbrt (- 1.0 (* x y)))

simplify2.5s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
3	4624
2	1186
1	397
0	152

prune665.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize69.0ms

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-div`
14×	`flip3--` `flip--`
8×	`cbrt-prod` `frac-times`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `associate-l/` `associate-r/` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 72

Calls

4 calls:

5.0ms	(cbrt (- 1.0 (* x y)))
5.0ms	(cbrt (- 1.0 (* x y)))
22.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
30.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

353.0ms	(cbrt (- 1.0 (* x y)))
295.0ms	(cbrt (- 1.0 (* x y)))
291.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
334.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

simplify3.0s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	4998
2	1079
1	358
0	149

prune638.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes203.0ms

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

491.0ms

10687×

body

valid