Details

sample30.0ms

Algorithm

intervals

Results

16.0ms

340×

body

valid

simplify39.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	44
4	44
3	38
2	23
1	10
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

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:

10.0ms	(- 1.0 (* x y))
40.0ms	(* x (- 1.0 (* x y)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- 1.0 (* x y))
71.0ms	(* x (- 1.0 (* x y)))

simplify1.9s

Counts

44 → 44

Iterations

Iter	Nodes
done	5013
3	1985
2	464
1	151
0	61

prune161.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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)))

rewrite58.0ms

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:

40.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
6.0ms	(cbrt (- 1.0 (* x y)))
6.0ms	(cbrt (- 1.0 (* x y)))
4.0ms	(cbrt (- 1.0 (* x y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

295.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
332.0ms	(cbrt (- 1.0 (* x y)))
320.0ms	(cbrt (- 1.0 (* x y)))
310.0ms	(cbrt (- 1.0 (* x y)))

simplify2.8s

Counts

103 → 103

Iterations

Iter	Nodes
done	5003
3	4620
2	1149
1	381
0	148

prune574.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

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)))

rewrite50.0ms

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:

38.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
3.0ms	(cbrt (- 1.0 (* x y)))
3.0ms	(cbrt (- 1.0 (* x y)))
3.0ms	(cbrt (- 1.0 (* x y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

317.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
307.0ms	(cbrt (- 1.0 (* x y)))
277.0ms	(cbrt (- 1.0 (* x y)))
335.0ms	(cbrt (- 1.0 (* x y)))

simplify3.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5003
3	4620
2	1149
1	381
0	148

prune632.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize42.0ms

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)))))

rewrite67.0ms

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×	`pow1` `add-cbrt-cube` `pow1/3` `associate-l/` `associate-r/` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

6.0ms	(cbrt (- 1.0 (* x y)))
6.0ms	(cbrt (- 1.0 (* x y)))
29.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
22.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

316.0ms	(cbrt (- 1.0 (* x y)))
336.0ms	(cbrt (- 1.0 (* x y)))
302.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
375.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

simplify3.2s

Counts

76 → 76

Iterations

Iter	Nodes
done	5008
3	4817
2	1015
1	343
0	145

prune630.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes161.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample747.0ms

Algorithm

intervals

Results

530.0ms

10687×

body

valid