Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

342×

body

valid

simplify36.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

4.0ms	(- 1.0 (* x y))
14.0ms	(* x (- 1.0 (* x y)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- 1.0 (* x y))
44.0ms	(* x (- 1.0 (* x y)))

simplify2.1s

Counts

42 → 42

Iterations

Iter	Nodes
done	5004
3	2025
2	462
1	149
0	59

prune234.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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×	`associate-r` `associate-l`
2×	`flip3--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

8.0ms	(- 1.0 (* x y))
27.0ms	(* (- 1.0 (* x y)) x)

series102.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- 1.0 (* x y))
55.0ms	(* (- 1.0 (* x y)) x)

simplify2.0s

Counts

38 → 38

Iterations

Iter	Nodes
done	5008
3	1998
2	421
1	139
0	57

prune173.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

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 (- 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:

5.0ms	(cbrt (- 1.0 (* x y)))
4.0ms	(cbrt (- 1.0 (* x y)))
5.0ms	(cbrt (- 1.0 (* x y)))
46.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.5s

Counts

4 → 12

Calls

4 calls:

342.0ms	(cbrt (- 1.0 (* x y)))
318.0ms	(cbrt (- 1.0 (* x y)))
402.0ms	(cbrt (- 1.0 (* x y)))
402.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify2.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
3	4557
2	1165
1	380
0	146

prune612.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize137.0ms

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-prod`
40×	`add-sqr-sqrt`
32×	`cbrt-div`
24×	`*-un-lft-identity` `add-cube-cbrt`
18×	`pow1`
14×	`flip3--` `pow1/3` `flip--`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`frac-times` `add-exp-log` `unswap-sqr`
4×	`add-cbrt-cube` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 128

Calls

4 calls:

49.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
46.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
5.0ms	(cbrt (cbrt (- 1.0 (* x y))))
6.0ms	(cbrt (cbrt (- 1.0 (* x y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

346.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
322.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
326.0ms	(cbrt (cbrt (- 1.0 (* x y))))
324.0ms	(cbrt (cbrt (- 1.0 (* x y))))

simplify3.0s

Counts

140 → 140

Iterations

Iter	Nodes
done	5003
3	4816
2	1207
1	403
0	163

prune901.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes144.0ms

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

sample768.0ms

Algorithm

intervals

Results

423.0ms

10754×

body

valid