Details

sample35.0ms

Algorithm

intervals

Results

13.0ms

349×

body

valid

simplify15.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

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))
58.0ms	(+ (+ (* x y) (* z t)) (* a b))

series135.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* x y) (* z t))
93.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify746.0ms

Counts

30 → 30

Iterations

Useful iterations: done (745.0ms)

Iter	Nodes	Cost
0	57	421
1	188	395
2	905	373
done	5000	369

prune104.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.4b	(cbrt (+ (* x y) (* z t)))
1.4b	(cbrt (+ (* x y) (* z t)))
1.4b	(cbrt (+ (* x y) (* z t)))

rewrite68.0ms

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:

44.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
11.0ms	(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:

194.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
151.0ms	(cbrt (+ (* x y) (* z t)))
175.0ms	(cbrt (+ (* x y) (* z t)))
123.0ms	(cbrt (+ (* x y) (* z t)))

simplify998.0ms

Counts

99 → 99

Iterations

Useful iterations: done (995.0ms)

Iter	Nodes	Cost
0	127	2030
1	335	1881
2	1143	1751
done	5000	1634

prune371.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (cbrt (+ (* x y) (* z t))) (* 2 3))
1.4b	(cbrt (+ (* x y) (* z t)))
1.4b	(cbrt (+ (* x y) (* z t)))
26.1b	(pow (pow (cbrt (+ (* x y) (* z t))) (* 2 3)) 1/3)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

22×	`unpow-prod-down`
12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-exp-log`
5×	`pow1` `pow-exp`
4×	`pow-unpow` `cbrt-div` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `pow1/3` `sqr-pow`
2×	`flip3-+` `flip-+`
1×	`unpow1/3`

Counts

4 → 72

Calls

4 calls:

14.0ms	(pow (cbrt (+ (* x y) (* z t))) (* 2 3))
8.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))
28.0ms	(pow (pow (cbrt (+ (* x y) (* z t))) (* 2 3)) 1/3)

series691.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(pow (cbrt (+ (* x y) (* z t))) (* 2 3))
140.0ms	(cbrt (+ (* x y) (* z t)))
121.0ms	(cbrt (+ (* x y) (* z t)))
269.0ms	(pow (pow (cbrt (+ (* x y) (* z t))) (* 2 3)) 1/3)

simplify673.0ms

Counts

84 → 84

Iterations

Useful iterations: done (671.0ms)

Iter	Nodes	Cost
0	136	1561
1	420	1258
2	1283	1171
done	5001	1111

prune376.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a b) (* x y))
0.0b	(+ (* t z) (+ (* a b) (* x y)))
0.3b	(pow (+ (* t z) (+ (* a b) (* x y))) 3)
36.5b	(cbrt (pow (+ (* t z) (+ (* a b) (* x y))) 3))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-log-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `sum-log` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `associate-+r+` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 72

Calls

4 calls:

8.0ms	(+ (* a b) (* x y))
24.0ms	(+ (* t z) (+ (* a b) (* x y)))
36.0ms	(pow (+ (* t z) (+ (* a b) (* x y))) 3)
30.0ms	(cbrt (pow (+ (* t z) (+ (* a b) (* x y))) 3))

series3.8s

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (* a b) (* x y))
79.0ms	(+ (* t z) (+ (* a b) (* x y)))
3.6s	(pow (+ (* t z) (+ (* a b) (* x y))) 3)
70.0ms	(cbrt (pow (+ (* t z) (+ (* a b) (* x y))) 3))

simplify2.1s

Counts

84 → 84

Iterations

Useful iterations: 2 (368.0ms)

Iter	Nodes	Cost
0	115	1691
1	406	1471
2	2323	1317
done	5001	1317

prune275.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes388.0ms

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

sample1.4s

Algorithm

intervals

Results

580.0ms

11852×

body

valid