Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

329×

body

valid

simplify26.0ms

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

26.0ms

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

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify478.0ms

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
2	602
1	118
0	47

prune120.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

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` `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 → 87

Calls

4 calls:

2.0ms	(cbrt (- 1.0 (* y x)))
4.0ms	(cbrt (- 1.0 (* x y)))
5.0ms	(cbrt (- 1.0 (* x y)))
51.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.7s

Counts

4 → 12

Calls

4 calls:

372.0ms	(cbrt (- 1.0 (* y x)))
751.0ms	(cbrt (- 1.0 (* x y)))
367.0ms	(cbrt (- 1.0 (* x y)))
260.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify905.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1973
1	442
0	171

prune697.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`cbrt-div`
18×	`*-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` `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 → 96

Calls

4 calls:

46.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
6.0ms	(cbrt (cbrt (- 1.0 (* x y))))
6.0ms	(cbrt (cbrt (- 1.0 (* x y))))
7.0ms	(cbrt (cbrt (- 1.0 (* x y))))

series1.4s

Counts

4 → 12

Calls

4 calls:

342.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
355.0ms	(cbrt (cbrt (- 1.0 (* x y))))
325.0ms	(cbrt (cbrt (- 1.0 (* x y))))
343.0ms	(cbrt (cbrt (- 1.0 (* x y))))

simplify852.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1639
1	406
0	163

prune846.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize101.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (cbrt (- 1.0 (* y x))))
0.2b	(cbrt (cbrt (- 1.0 (* y x))))
0.3b	(pow (cbrt (cbrt (- 1.0 (* y x)))) (+ 3 1))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
16×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`cbrt-div`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow-unpow` `add-cbrt-cube` `pow1/3` `add-log-exp`
3×	`flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `unpow-prod-up` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

6.0ms	(cbrt (cbrt (- 1.0 (* x y))))
6.0ms	(cbrt (cbrt (- 1.0 (* y x))))
6.0ms	(cbrt (cbrt (- 1.0 (* y x))))
12.0ms	(pow (cbrt (cbrt (- 1.0 (* y x)))) (+ 3 1))

series1.6s

Counts

4 → 12

Calls

4 calls:

364.0ms	(cbrt (cbrt (- 1.0 (* x y))))
321.0ms	(cbrt (cbrt (- 1.0 (* y x))))
305.0ms	(cbrt (cbrt (- 1.0 (* y x))))
600.0ms	(pow (cbrt (cbrt (- 1.0 (* y x)))) (+ 3 1))

simplify909.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	5002
2	1976
1	483
0	178

prune928.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes242.0ms

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

sample695.0ms

Algorithm

intervals

Results

386.0ms

10766×

body

valid