Details

sample52.0ms

Algorithm

intervals

Results

20.0ms

382×

body

valid

simplify31.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	18	11
2	25	11
3	27	11
done	27	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

8.0ms	(+ (* x y) (* z t))
30.0ms	(+ (+ (* x y) (* z t)) (* a b))

series115.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (* x y) (* z t))
68.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify1.9s

Counts

30 → 30

Iterations

Useful iterations: 3 (685.0ms)

Iter	Nodes	Cost
0	57	421
1	187	395
2	683	373
3	2401	369
done	5000	369

prune110.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

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:

53.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
5.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))

series643.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
143.0ms	(cbrt (+ (* x y) (* z t)))
169.0ms	(cbrt (+ (* x y) (* z t)))
155.0ms	(cbrt (+ (* x y) (* z t)))

simplify4.2s

Counts

99 → 99

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	127	2030
1	313	1881
2	834	1751
3	2017	1590
4	4868	1513
done	5001	1452

prune406.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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:

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

series627.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (+ (* x y) (* z t)))
131.0ms	(cbrt (+ (* x y) (* z t)))
175.0ms	(cbrt (+ (* x y) (* z t)))
164.0ms	(cbrt (+ (* x y) (* z t)))

simplify1.9s

Counts

64 → 64

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	67	1024
1	180	988
2	462	912
3	1144	888
4	2401	836
done	5000	824

prune398.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite245.0ms

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:

29.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
29.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
16.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
165.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))

series951.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
180.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
202.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
343.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))

simplify2.2s

Counts

99 → 99

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	128	2784
1	308	2609
2	874	2429
3	2604	2144
done	5000	2071

prune389.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes440.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	16	11
done	16	11

end0.0ms

sample2.0s

Algorithm

intervals

Results

814.0ms

12038×

body

valid