Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	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

simplify504.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	12	15
1	30	15
2	80	13
3	213	13
4	465	13
5	691	13
6	709	13
done	709	13

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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))

rewrite30.0ms

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:

26.0ms	(* (+ (* 2 (+ y z)) t) x)
3.0ms	(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))

series85.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (+ (* 2 (+ y z)) t) x)
52.0ms	(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))

simplify1.9s

Counts

37 → 37

Iterations

Useful iterations: 3 (343.0ms)

Iter	Nodes	Cost
0	75	579
1	221	545
2	810	485
3	4043	477
done	5000	477

prune94.0ms

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

rewrite78.0ms

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:

56.0ms	(* (cbrt (+ (* 2 (+ y z)) t)) (cbrt (+ (* 2 (+ y z)) t)))
6.0ms	(cbrt (+ (* 2 (+ y z)) t))
6.0ms	(cbrt (+ (* 2 (+ y z)) t))
6.0ms	(cbrt (+ (* 2 (+ y z)) t))

series1.0s

Counts

4 → 12

Calls

4 calls:

305.0ms	(* (cbrt (+ (* 2 (+ y z)) t)) (cbrt (+ (* 2 (+ y z)) t)))
248.0ms	(cbrt (+ (* 2 (+ y z)) t))
247.0ms	(cbrt (+ (* 2 (+ y z)) t))
241.0ms	(cbrt (+ (* 2 (+ y z)) t))

simplify3.0s

Counts

99 → 99

Iterations

Useful iterations: 3 (538.0ms)

Iter	Nodes	Cost
0	123	2020
1	273	1860
2	1018	1733
3	4514	1535
done	5000	1535

prune316.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite28.0ms

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:

19.0ms	(* (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:

944.0ms	(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
373.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
368.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
368.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

simplify2.0s

Counts

99 → 99

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	183	3548
1	443	3307
2	1414	3085
3	4834	2742
done	5000	2734

prune345.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* 2 (+ y z)) t))
0.6b	(cbrt (+ (* 2 (+ y z)) t))
0.6b	(cbrt (+ (* 2 (+ y z)) t))
0.9b	(pow (cbrt (cbrt (+ (* 2 (+ y z)) t))) 4)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

6.0ms	(cbrt (+ (* 2 (+ y z)) t))
6.0ms	(cbrt (+ (* 2 (+ y z)) t))
9.0ms	(cbrt (+ (* 2 (+ y z)) t))
14.0ms	(pow (cbrt (cbrt (+ (* 2 (+ y z)) t))) 4)

series1.3s

Counts

4 → 12

Calls

4 calls:

255.0ms	(cbrt (+ (* 2 (+ y z)) t))
244.0ms	(cbrt (+ (* 2 (+ y z)) t))
250.0ms	(cbrt (+ (* 2 (+ y z)) t))
578.0ms	(pow (cbrt (cbrt (+ (* 2 (+ y z)) t))) 4)

simplify2.2s

Counts

75 → 75

Iterations

Useful iterations: 3 (512.0ms)

Iter	Nodes	Cost
0	123	1256
1	291	1194
2	913	1095
3	3598	1037
done	5000	1037

prune336.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes183.0ms

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	13
1	18	13
done	18	13

end0.0ms

sample647.0ms

Algorithm

intervals

Results

337.0ms	10578×	body	80	valid
13.0ms	112×	body	640	valid
11.0ms	76×	body	1280	valid
6.0ms	70×	body	320	valid
3.0ms	43×	body	160	valid