Details

sample43.0ms

Algorithm

intervals

Results

15.0ms	300×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid

simplify30.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	164
1	18	164
2	28	164
3	42	164
4	47	164
done	47	164

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

25.0ms	(* x (+ y z))
9.0ms	(+ (* x (+ y z)) (* z 5.0))

series96.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* x (+ y z))
53.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify1.2s

Counts

42 → 42

Iterations

Useful iterations: 2 (260.0ms)

Iter	Nodes	Cost
0	72	8066
1	225	7002
2	1001	6882
done	5001	6882

prune242.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (+ x 5.0))
0.0b	(+ (* x y) (* z (+ x 5.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

27.0ms	(* z (+ x 5.0))
9.0ms	(+ (* x y) (* z (+ x 5.0)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* z (+ x 5.0))
50.0ms	(+ (* x y) (* z (+ x 5.0)))

simplify1.0s

Counts

42 → 42

Iterations

Useful iterations: 2 (220.0ms)

Iter	Nodes	Cost
0	70	8066
1	224	7002
2	1041	6882
done	5000	6882

prune248.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ x 5.0))
0.8b	(cbrt (+ x 5.0))
0.8b	(cbrt (+ x 5.0))
0.8b	(* (cbrt (+ x 5.0)) (cbrt (+ x 5.0)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`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 → 95

Calls

4 calls:

3.0ms	(cbrt (+ x 5.0))
7.0ms	(cbrt (+ x 5.0))
6.0ms	(cbrt (+ x 5.0))
57.0ms	(* (cbrt (+ x 5.0)) (cbrt (+ x 5.0)))

series523.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (+ x 5.0))
129.0ms	(cbrt (+ x 5.0))
120.0ms	(cbrt (+ x 5.0))
134.0ms	(* (cbrt (+ x 5.0)) (cbrt (+ x 5.0)))

simplify1.4s

Counts

107 → 107

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	150	41340
1	354	32646
2	1308	32486
done	5000	31356

prune647.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

8.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

292.0ms	(* (cbrt x) (cbrt x))
268.0ms	(cbrt x)
297.0ms	(cbrt x)
283.0ms	(cbrt x)

simplify1.6s

Counts

85 → 85

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	61	17134
1	138	14621
2	727	14346
done	5000	13666

prune444.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes339.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	164
1	12	164
done	12	164

end0.0ms

sample926.0ms

Algorithm

intervals

Results

531.0ms	9810×	body	80	valid
36.0ms	76×	body	320	valid
20.0ms	107×	body	1280	valid
17.0ms	117×	body	640	valid
2.0ms	21×	body	160	valid