Details

sample31.0ms

Algorithm

intervals

Results

13.0ms	350×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

simplify963.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (34.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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))

rewrite72.0ms

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:

55.0ms	(* (+ (* 2 (+ y z)) t) x)
16.0ms	(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))

series102.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* (+ (* 2 (+ y z)) t) x)
63.0ms	(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))

simplify2.8s

Counts

37 → 37

Iterations

Useful iterations: 3 (1.2s)

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

prune141.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* (+ (* 2 (+ y z)) t) x)) (cbrt (* (+ (* 2 (+ y z)) t) x)))
1.5b	(cbrt (* (+ (* 2 (+ y z)) t) x))
1.5b	(cbrt (* (+ (* 2 (+ y z)) t) x))
1.5b	(cbrt (* (+ (* 2 (+ y z)) t) x))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

56.0ms	(* (cbrt (* (+ (* 2 (+ y z)) t) x)) (cbrt (* (+ (* 2 (+ y z)) t) x)))
18.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))
38.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))
18.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))

series964.0ms

Counts

4 → 12

Calls

4 calls:

301.0ms	(* (cbrt (* (+ (* 2 (+ y z)) t) x)) (cbrt (* (+ (* 2 (+ y z)) t) x)))
227.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))
232.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))
203.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))

simplify1.8s

Counts

84 → 84

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	137	1898
1	315	1725
2	878	1531
3	2802	1377
done	5002	1310

prune363.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (+ (* 2 (+ y z)) t))
1.5b	(cbrt (* (+ (* 2 (+ y z)) t) x))
1.5b	(cbrt (* (+ (* 2 (+ y z)) t) x))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt x)
21.0ms	(cbrt (+ (* 2 (+ y z)) t))
19.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))
31.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))

series1.0s

Counts

4 → 12

Calls

4 calls:

307.0ms	(cbrt x)
318.0ms	(cbrt (+ (* 2 (+ y z)) t))
187.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))
230.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))

simplify1.2s

Counts

58 → 58

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	119	824
1	268	789
2	680	702
3	2137	657
done	5001	626

prune370.0ms

Pruning

7 alts after pruning (4 fresh and 3 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)))
0.5b	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
0.6b	(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))

rewrite108.0ms

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:

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)))
73.0ms	(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))

series3.4s

Counts

4 → 12

Calls

4 calls:

666.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
611.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
591.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
1.5s	(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))

simplify2.6s

Counts

99 → 99

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	183	3548
1	440	3303
2	1204	3085
3	3821	2734
done	5000	2630

prune458.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes230.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.3s	10660×	body	80	valid
58.0ms	84×	body	1280	valid
16.0ms	80×	body	640	valid
12.0ms	72×	body	320	valid
3.0ms	34×	body	160	valid