Details

sample26.0ms

Algorithm

intervals

Results

12.0ms	315×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify465.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	12	15
1	30	15
2	79	13
3	211	13
4	453	13
5	635	13
6	645	13
done	645	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite924.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

13.0ms	(+ (+ y z) z)
223.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
59.0ms	(+ (+ (+ y z) z) y)
626.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series158.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ y z) z)
57.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
35.0ms	(+ (+ (+ y z) z) y)
39.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify474.0ms

Counts

83 → 83

Iterations

Useful iterations: done (471.0ms)

Iter	Nodes	Cost
0	130	1085
1	373	1004
2	1222	816
done	5000	796

prune196.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* 2 x) (+ z y))
0.0b	(+ (+ (* (* 2 x) (+ z y)) (* x t)) (* y 5.0))
0.0b	(+ (* (* 2 x) (+ z y)) (* x t))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

14.0ms	(* (* 2 x) (+ z y))
44.0ms	(+ (+ (* (* 2 x) (+ z y)) (* x t)) (* y 5.0))
9.0ms	(+ (* (* 2 x) (+ z y)) (* x t))

series145.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (* 2 x) (+ z y))
59.0ms	(+ (+ (* (* 2 x) (+ z y)) (* x t)) (* y 5.0))
45.0ms	(+ (* (* 2 x) (+ z y)) (* x t))

simplify733.0ms

Counts

58 → 58

Iterations

Useful iterations: 2 (174.0ms)

Iter	Nodes	Cost
0	111	895
1	336	802
2	1446	742
done	5001	742

prune143.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* (* 2 x) (+ z y)) (* x t)) (* y 5.0))) (cbrt (+ (+ (* (* 2 x) (+ z y)) (* x t)) (* y 5.0))))
0.5b	(cbrt (+ (+ (* (* 2 x) (+ z y)) (* x t)) (* y 5.0)))
0.5b	(cbrt (+ (+ (* (* 2 x) (+ z y)) (* x t)) (* y 5.0)))
0.5b	(cbrt (+ (+ (* (* 2 x) (+ z y)) (* x t)) (* y 5.0)))

rewrite311.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

225.0ms	(* (cbrt (+ (+ (* (* 2 x) (+ z y)) (* x t)) (* y 5.0))) (cbrt (+ (+ (* (* 2 x) (+ z y)) (* x t)) (* y 5.0))))
27.0ms	(cbrt (+ (+ (* (* 2 x) (+ z y)) (* x t)) (* y 5.0)))
27.0ms	(cbrt (+ (+ (* (* 2 x) (+ z y)) (* x t)) (* y 5.0)))
29.0ms	(cbrt (+ (+ (* (* 2 x) (+ z y)) (* x t)) (* y 5.0)))

series1.5s

Counts

4 → 12

Calls

4 calls:

488.0ms	(* (cbrt (+ (+ (* (* 2 x) (+ z y)) (* x t)) (* y 5.0))) (cbrt (+ (+ (* (* 2 x) (+ z y)) (* x t)) (* y 5.0))))
353.0ms	(cbrt (+ (+ (* (* 2 x) (+ z y)) (* x t)) (* y 5.0)))
357.0ms	(cbrt (+ (+ (* (* 2 x) (+ z y)) (* x t)) (* y 5.0)))
349.0ms	(cbrt (+ (+ (* (* 2 x) (+ z y)) (* x t)) (* y 5.0)))

simplify1.5s

Counts

99 → 99

Iterations

Useful iterations: 3 (639.0ms)

Iter	Nodes	Cost
0	142	3688
1	328	3483
2	934	3253
3	3391	2514
done	5000	2514

prune400.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
0.5b	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))
0.5b	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))
0.5b	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

8.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
9.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))
9.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))
9.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))

series1.4s

Counts

4 → 12

Calls

4 calls:

345.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
355.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))
349.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))
350.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))

simplify865.0ms

Counts

73 → 73

Iterations

Useful iterations: 3 (245.0ms)

Iter	Nodes	Cost
0	103	1987
1	249	1953
2	673	1804
3	2487	1727
done	5001	1727

prune368.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	20	15
done	20	15

end0.0ms

sample644.0ms

Algorithm

intervals

Results

339.0ms	10525×	body	80	valid
15.0ms	100×	body	1280	valid
12.0ms	99×	body	640	valid
5.0ms	59×	body	320	valid
2.0ms	32×	body	160	valid