Details

sample60.0ms

Algorithm

intervals

Results

31.0ms	330×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (74.0ms)

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 3 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 calls:

15.0ms	(+ (* 2 (+ y z)) t)
11.0ms	(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))
83.0ms	(* (+ (* 2 (+ y z)) t) x)

series177.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (* 2 (+ y z)) t)
73.0ms	(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))
64.0ms	(* (+ (* 2 (+ y z)) t) x)

simplify976.0ms

Counts

53 → 53

Iterations

Useful iterations: done (975.0ms)

Iter	Nodes	Cost
0	91	761
1	248	714
2	951	640
done	5000	630

prune166.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite290.0ms

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:

213.0ms	(* (cbrt (+ (* 2 (+ y z)) t)) (cbrt (+ (* 2 (+ y z)) t)))
25.0ms	(cbrt (+ (* 2 (+ y z)) t))
23.0ms	(cbrt (+ (* 2 (+ y z)) t))
24.0ms	(cbrt (+ (* 2 (+ y z)) t))

series1.5s

Counts

4 → 12

Calls

4 calls:

501.0ms	(* (cbrt (+ (* 2 (+ y z)) t)) (cbrt (+ (* 2 (+ y z)) t)))
347.0ms	(cbrt (+ (* 2 (+ y z)) t))
327.0ms	(cbrt (+ (* 2 (+ y z)) t))
338.0ms	(cbrt (+ (* 2 (+ y z)) t))

simplify1.8s

Counts

99 → 99

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	123	2020
1	270	1856
2	723	1733
3	2229	1535
done	5001	1503

prune474.0ms

Pruning

9 alts after pruning (7 fresh and 2 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))) (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)))

rewrite106.0ms

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:

77.0ms	(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (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)))
8.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

series3.0s

Counts

4 → 12

Calls

4 calls:

1.4s	(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
530.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
516.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
531.0ms	(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	1202	3085
3	3814	2734
done	5000	2630

prune441.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize34.0ms

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

5.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
5.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
5.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
96.0ms	(* (cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))) (cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))))

series3.3s

Counts

4 → 12

Calls

4 calls:

684.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
546.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
595.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
1.5s	(* (cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))) (cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))))

simplify2.8s

Counts

113 → 113

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	214	4391
1	474	4128
2	1267	3900
3	3884	3417
done	5001	3313

prune652.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes341.0ms

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

sample1.8s

Algorithm

intervals

Results

1.1s	10642×	body	80	valid
47.0ms	69×	body	320	valid
27.0ms	100×	body	1280	valid
21.0ms	99×	body	640	valid
3.0ms	30×	body	160	valid