Details

sample54.0ms

Algorithm

intervals

Results

24.0ms	335×	body	80	valid
1.0ms	3×	body	1280	valid
1.0ms	3×	body	640	valid
1.0ms	3×	body	320	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	12	15
1	30	15
2	83	15
3	252	13
4	599	13
5	824	13
6	838	13
done	838	13

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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))

rewrite101.0ms

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:

71.0ms	(* (+ (* 2 (+ y z)) t) x)
29.0ms	(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))

series142.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* (+ (* 2 (+ y z)) t) x)
84.0ms	(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))

simplify3.6s

Counts

37 → 37

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	75	579
1	219	545
2	844	485
3	3996	477
done	5000	477

prune163.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

331.0ms	(* (cbrt x) (cbrt x))
334.0ms	(cbrt x)
271.0ms	(cbrt x)
331.0ms	(cbrt x)

simplify5.2s

Counts

85 → 85

Iterations

Useful iterations: done (5.2s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune368.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

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)))

rewrite134.0ms

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:

99.0ms	(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
10.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
10.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
10.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

series3.3s

Counts

4 → 12

Calls

4 calls:

1.5s	(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
603.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
583.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
586.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

simplify2.7s

Counts

99 → 99

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	183	3548
1	440	3303
2	1202	3085
3	3814	2734
done	5000	2630

prune491.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
6.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
8.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
8.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

series2.2s

Counts

4 → 12

Calls

4 calls:

564.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
607.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
598.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
477.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

simplify1.5s

Counts

64 → 64

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	99	1888
1	249	1828
2	677	1700
3	2465	1616
done	5000	1524

prune388.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes232.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	18	13
done	18	13

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	10694×	body	80	valid
22.0ms	90×	body	1280	valid
21.0ms	101×	body	640	valid
9.0ms	68×	body	320	valid
2.0ms	22×	body	160	valid