Details

sample31.0ms

Algorithm

intervals

Results

8.0ms	234×	body	80	valid
4.0ms	27×	body	640	valid
2.0ms	14×	body	1280	valid
2.0ms	17×	body	320	valid
1.0ms	16×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1788
5	612
4	236
3	78
2	27
1	13
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
3.9b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`distribute-rgt-in` `frac-times` `pow1` `associate-+r+` `sub-neg` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
2×	`associate-l/` `associate-r/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

36.0ms	(* (- 1.0 x) (- 1.0 y))
8.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- 1.0 x) (- 1.0 y))
29.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify1.0s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
2	1057
1	285
0	101

prune270.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`distribute-rgt-in` `pow1` `associate-+r+` `sub-neg` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

5.0ms	(+ 1.0 (* y (- x 1.0)))
20.0ms	(* y (- x 1.0))

series74.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ 1.0 (* y (- x 1.0)))
43.0ms	(* y (- x 1.0))

simplify1.4s

Counts

47 → 47

Iterations

Iter	Nodes
done	5007
3	2087
2	503
1	181
0	72

prune195.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ 1.0 (* x y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

1 → 11

Calls

1 calls:

8.0ms

(+ 1.0 (* x y))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(+ 1.0 (* x y))

simplify3.1s

Counts

14 → 14

Iterations

Iter	Nodes
done	5001
5	3822
4	1511
3	644
2	248
1	81
0	26

prune64.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

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)))

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×	`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:

39.0ms	(* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y))))
3.0ms	(cbrt (+ 1.0 (* x y)))
3.0ms	(cbrt (+ 1.0 (* x y)))
4.0ms	(cbrt (+ 1.0 (* x y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

344.0ms	(* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y))))
223.0ms	(cbrt (+ 1.0 (* x y)))
219.0ms	(cbrt (+ 1.0 (* x y)))
268.0ms	(cbrt (+ 1.0 (* x y)))

simplify2.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
3	4654
2	1193
1	387
0	143

prune543.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
3	19
2	18
1	14
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

600.0ms	6923×	body	80	valid
160.0ms	903×	body	640	valid
64.0ms	419×	body	1280	valid
53.0ms	574×	body	320	valid
20.0ms	334×	body	160	valid