Details

sample49.0ms

Algorithm

intervals

Results

22.0ms	333×	body	80	valid
3.0ms	10×	body	1280	valid
1.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	12	15
1	30	15
2	89	15
3	287	13
4	857	13
5	1894	13
6	4425	13
done	5001	13

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

99.0ms	(* (+ (* 2 (+ y z)) t) x)
18.0ms	(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))

series131.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* (+ (* 2 (+ y z)) t) x)
85.0ms	(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))

simplify764.0ms

Counts

37 → 37

Iterations

Useful iterations: 2 (174.0ms)

Iter	Nodes	Cost
0	75	579
1	223	545
2	1118	485
done	5002	485

prune174.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite152.0ms

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×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/`
1×	`associate-+r+` `associate-l` `*-commutative` `distribute-lft-out`

Counts

3 → 49

Calls

3 calls:

38.0ms	(* (* 2 x) (+ y z))
33.0ms	(+ (* (* 2 x) (+ y z)) (* t x))
78.0ms	(+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))

series255.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(* (* 2 x) (+ y z))
78.0ms	(+ (* (* 2 x) (+ y z)) (* t x))
97.0ms	(+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))

simplify2.1s

Counts

58 → 58

Iterations

Useful iterations: 2 (422.0ms)

Iter	Nodes	Cost
0	110	899
1	361	802
2	2502	738
done	5000	738

prune294.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite188.0ms

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:

131.0ms	(* (cbrt (+ (* 2 (+ y z)) t)) (cbrt (+ (* 2 (+ y z)) t)))
19.0ms	(cbrt (+ (* 2 (+ y z)) t))
23.0ms	(cbrt (+ (* 2 (+ y z)) t))
12.0ms	(cbrt (+ (* 2 (+ y z)) t))

series1.4s

Counts

4 → 12

Calls

4 calls:

407.0ms	(* (cbrt (+ (* 2 (+ y z)) t)) (cbrt (+ (* 2 (+ y z)) t)))
317.0ms	(cbrt (+ (* 2 (+ y z)) t))
363.0ms	(cbrt (+ (* 2 (+ y z)) t))
292.0ms	(cbrt (+ (* 2 (+ y z)) t))

simplify821.0ms

Counts

99 → 99

Iterations

Useful iterations: done (816.0ms)

Iter	Nodes	Cost
0	123	2020
1	297	1856
2	1087	1733
done	5001	1639

prune503.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite749.0ms

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:

67.0ms	(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
69.0ms	(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
80.0ms	(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
530.0ms	(* (cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))) (cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))))

series3.2s

Counts

4 → 12

Calls

4 calls:

659.0ms	(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
679.0ms	(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
684.0ms	(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
1.2s	(* (cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))) (cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))))

simplify943.0ms

Counts

99 → 99

Iterations

Useful iterations: done (938.0ms)

Iter	Nodes	Cost
0	152	3926
1	387	3639
2	1394	3399
done	5001	2782

prune652.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes287.0ms

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

sample1.5s

Algorithm

intervals

Results

963.0ms	10509×	body	80	valid
20.0ms	94×	body	1280	valid
14.0ms	86×	body	640	valid
7.0ms	57×	body	320	valid
2.0ms	26×	body	160	valid