Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	348×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify677.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	12	15
1	30	15
2	79	13
3	211	13
4	453	13
5	635	13
6	645	13
done	645	13

prune5.0ms

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

rewrite28.0ms

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:

3.0ms	(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))
24.0ms	(* (+ (* 2 (+ y z)) t) x)

series89.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))
38.0ms	(* (+ (* 2 (+ y z)) t) x)

simplify2.0s

Counts

37 → 37

Iterations

Useful iterations: 3 (670.0ms)

Iter	Nodes	Cost
0	75	579
1	219	545
2	756	485
3	3687	477
done	5000	477

prune103.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* 2 (+ y z)) t) x)) (cbrt (* (+ (* 2 (+ y z)) t) x)))
1.2b	(cbrt (* (+ (* 2 (+ y z)) t) x))
1.2b	(cbrt (* (+ (* 2 (+ y z)) t) x))
1.2b	(cbrt (* (+ (* 2 (+ y z)) t) x))

rewrite46.0ms

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:

18.0ms	(* (cbrt (* (+ (* 2 (+ y z)) t) x)) (cbrt (* (+ (* 2 (+ y z)) t) x)))
10.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))
8.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))
8.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))

series751.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(* (cbrt (* (+ (* 2 (+ y z)) t) x)) (cbrt (* (+ (* 2 (+ y z)) t) x)))
175.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))
173.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))
178.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))

simplify1.1s

Counts

84 → 84

Iterations

Useful iterations: 3 (451.0ms)

Iter	Nodes	Cost
0	137	1898
1	315	1725
2	831	1531
3	2499	1377
done	5001	1377

prune309.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* 2 (+ y z)) t))
0.6b	(cbrt x)
1.2b	(cbrt (* (+ (* 2 (+ y z)) t) x))
1.2b	(cbrt (* (+ (* 2 (+ y z)) t) x))

rewrite23.0ms

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:

6.0ms	(cbrt (+ (* 2 (+ y z)) t))
0.0ms	(cbrt x)
8.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))
8.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))

series809.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt (+ (* 2 (+ y z)) t))
181.0ms	(cbrt x)
177.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))
179.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))

simplify825.0ms

Counts

58 → 58

Iterations

Useful iterations: 3 (311.0ms)

Iter	Nodes	Cost
0	119	824
1	268	789
2	648	702
3	1825	657
done	5001	657

prune262.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.7b	(cbrt (* (cbrt (+ (* 2 (+ y z)) t)) (cbrt (+ (* 2 (+ y z)) t))))
1.2b	(cbrt (* (+ (* 2 (+ y z)) t) x))
1.2b	(cbrt (* (+ (* 2 (+ y z)) t) x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt x)
20.0ms	(cbrt (* (cbrt (+ (* 2 (+ y z)) t)) (cbrt (+ (* 2 (+ y z)) t))))
8.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))
8.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))

series1.0s

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt x)
465.0ms	(cbrt (* (cbrt (+ (* 2 (+ y z)) t)) (cbrt (+ (* 2 (+ y z)) t))))
183.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))
179.0ms	(cbrt (* (+ (* 2 (+ y z)) t) x))

simplify834.0ms

Counts

62 → 62

Iterations

Useful iterations: 3 (303.0ms)

Iter	Nodes	Cost
0	155	1255
1	316	1193
2	718	1087
3	1952	1034
done	5001	1034

prune322.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes141.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample626.0ms

Algorithm

intervals

Results

336.0ms	10696×	body	80	valid
12.0ms	88×	body	1280	valid
10.0ms	86×	body	640	valid
5.0ms	58×	body	320	valid
2.0ms	32×	body	160	valid