Details

sample25.0ms

Algorithm

intervals

Results

11.0ms	330×	body	80	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	640	valid

simplify671.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	12	15
1	30	15
2	79	13
3	211	13
4	453	13
5	632	13
6	642	13
done	642	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) 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))

rewrite919.0ms

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)
617.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
13.0ms	(+ (+ y z) z)
229.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series156.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (+ (+ y z) z) y)
42.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
24.0ms	(+ (+ y z) z)
59.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify610.0ms

Counts

83 → 83

Iterations

Useful iterations: done (607.0ms)

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

prune189.0ms

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))

rewrite892.0ms

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:

57.0ms	(+ (+ y (+ z z)) y)
614.0ms	(* x (+ (+ (+ y (+ z z)) y) t))
218.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

series136.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (+ y (+ z z)) y)
40.0ms	(* x (+ (+ (+ y (+ z z)) y) t))
61.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

simplify568.0ms

Counts

65 → 65

Iterations

Useful iterations: done (567.0ms)

Iter	Nodes	Cost
0	113	942
1	318	876
2	1060	804
done	5001	676

prune156.0ms

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

rewrite26.0ms

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:

18.0ms	(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
2.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
2.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
2.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

series2.1s

Counts

4 → 12

Calls

4 calls:

943.0ms	(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
376.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
382.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
376.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

simplify1.4s

Counts

99 → 99

Iterations

Useful iterations: 3 (621.0ms)

Iter	Nodes	Cost
0	183	3548
1	440	3303
2	1169	3085
3	3573	2734
done	5000	2734

prune343.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
0.5b	(cbrt (- (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
4.7b	(- (* (* y 5.0) (* y 5.0)) (* (* (+ (* 2 (+ y z)) t) x) (* (+ (* 2 (+ y z)) t) x)))
28.3b	(cbrt (- (* (* y 5.0) (* y 5.0)) (* (* (+ (* 2 (+ y z)) t) x) (* (+ (* 2 (+ y z)) t) x))))

rewrite25.0ms

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` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--`
2×	`difference-of-squares`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 53

Calls

4 calls:

2.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
2.0ms	(cbrt (- (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
10.0ms	(- (* (* y 5.0) (* y 5.0)) (* (* (+ (* 2 (+ y z)) t) x) (* (+ (* 2 (+ y z)) t) x)))
9.0ms	(cbrt (- (* (* y 5.0) (* y 5.0)) (* (* (+ (* 2 (+ y z)) t) x) (* (+ (* 2 (+ y z)) t) x))))

series1.7s

Counts

4 → 12

Calls

4 calls:

378.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
446.0ms	(cbrt (- (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
260.0ms	(- (* (* y 5.0) (* y 5.0)) (* (* (+ (* 2 (+ y z)) t) x) (* (+ (* 2 (+ y z)) t) x)))
579.0ms	(cbrt (- (* (* y 5.0) (* y 5.0)) (* (* (+ (* 2 (+ y z)) t) x) (* (+ (* 2 (+ y z)) t) x))))

simplify792.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (195.0ms)

Iter	Nodes	Cost
0	226	2376
1	564	2236
2	1792	1967
done	5001	1967

prune327.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes164.0ms

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

sample670.0ms

Algorithm

intervals

Results

351.0ms	10578×	body	80	valid
14.0ms	112×	body	640	valid
12.0ms	76×	body	1280	valid
7.0ms	70×	body	320	valid
3.0ms	43×	body	160	valid