Details

sample34.0ms

Algorithm

intervals

Results

15.0ms	330×	body	80	valid
1.0ms	5×	body	320	valid
0.0ms	4×	body	160	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid

simplify463.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite893.0ms

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:

58.0ms	(+ (+ (+ y z) z) y)
602.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
13.0ms	(+ (+ y z) z)
218.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series148.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (+ (+ y z) z) y)
38.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
26.0ms	(+ (+ y z) z)
55.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify538.0ms

Counts

83 → 83

Iterations

Useful iterations: done (536.0ms)

Iter	Nodes	Cost
0	130	1085
1	373	1004
2	1334	816
done	5000	796

prune191.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite881.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

56.0ms	(+ (+ y (+ z z)) y)
608.0ms	(* x (+ (+ (+ y (+ z z)) y) t))
214.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

series131.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (+ y (+ z z)) y)
41.0ms	(* x (+ (+ (+ y (+ z z)) y) t))
59.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

simplify554.0ms

Counts

65 → 65

Iterations

Useful iterations: done (552.0ms)

Iter	Nodes	Cost
0	113	942
1	318	876
2	1170	804
done	5000	676

prune149.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

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:

57.0ms	(* (cbrt (+ (* x (+ (* (+ z y) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ z y) 2) t)) (* y 5.0))))
7.0ms	(cbrt (+ (* x (+ (* (+ z y) 2) t)) (* y 5.0)))
7.0ms	(cbrt (+ (* x (+ (* (+ z y) 2) t)) (* y 5.0)))
7.0ms	(cbrt (+ (* x (+ (* (+ z y) 2) t)) (* y 5.0)))

series1.5s

Counts

4 → 12

Calls

4 calls:

472.0ms	(* (cbrt (+ (* x (+ (* (+ z y) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ z y) 2) t)) (* y 5.0))))
344.0ms	(cbrt (+ (* x (+ (* (+ z y) 2) t)) (* y 5.0)))
342.0ms	(cbrt (+ (* x (+ (* (+ z y) 2) t)) (* y 5.0)))
339.0ms	(cbrt (+ (* x (+ (* (+ z y) 2) t)) (* y 5.0)))

simplify2.1s

Counts

99 → 99

Iterations

Useful iterations: 3 (651.0ms)

Iter	Nodes	Cost
0	141	3290
1	325	3101
2	1018	2899
3	4391	2514
done	5001	2514

prune307.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x (+ (* (+ z y) 2) t)) (* y 5.0)))
0.5b	(cbrt (- (* x (+ (* (+ z y) 2) t)) (* y 5.0)))
5.2b	(- (* (* x (+ (* (+ z y) 2) t)) (* x (+ (* (+ z y) 2) t))) (* (* y 5.0) (* y 5.0)))
28.3b	(cbrt (- (* (* x (+ (* (+ z y) 2) t)) (* x (+ (* (+ z y) 2) t))) (* (* y 5.0) (* y 5.0))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate--l+` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--`
2×	`difference-of-squares`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 57

Calls

4 calls:

7.0ms	(cbrt (+ (* x (+ (* (+ z y) 2) t)) (* y 5.0)))
9.0ms	(cbrt (- (* x (+ (* (+ z y) 2) t)) (* y 5.0)))
53.0ms	(- (* (* x (+ (* (+ z y) 2) t)) (* x (+ (* (+ z y) 2) t))) (* (* y 5.0) (* y 5.0)))
51.0ms	(cbrt (- (* (* x (+ (* (+ z y) 2) t)) (* x (+ (* (+ z y) 2) t))) (* (* y 5.0) (* y 5.0))))

series1.4s

Counts

4 → 12

Calls

4 calls:

337.0ms	(cbrt (+ (* x (+ (* (+ z y) 2) t)) (* y 5.0)))
346.0ms	(cbrt (- (* x (+ (* (+ z y) 2) t)) (* y 5.0)))
266.0ms	(- (* (* x (+ (* (+ z y) 2) t)) (* x (+ (* (+ z y) 2) t))) (* (* y 5.0) (* y 5.0)))
443.0ms	(cbrt (- (* (* x (+ (* (+ z y) 2) t)) (* x (+ (* (+ z y) 2) t))) (* (* y 5.0) (* y 5.0))))

simplify714.0ms

Counts

69 → 69

Iterations

Useful iterations: 2 (131.0ms)

Iter	Nodes	Cost
0	182	2266
1	431	2144
2	1432	1885
done	5000	1885

prune311.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes152.0ms

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	12	15
1	18	15
done	18	15

end0.0ms

sample607.0ms

Algorithm

intervals

Results

320.0ms	10578×	body	80	valid
12.0ms	112×	body	640	valid
10.0ms	76×	body	1280	valid
6.0ms	70×	body	320	valid
2.0ms	43×	body	160	valid