Details

sample59.0ms

Algorithm

intervals

Results

23.0ms

431×

body

valid

simplify86.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	15
1	26	15
2	48	15
3	79	15
4	89	15
done	89	15

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

15.0ms	(+ (* x y) (* z t))
59.0ms	(+ (+ (* x y) (* z t)) (* a b))
147.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series444.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (* x y) (* z t))
63.0ms	(+ (+ (* x y) (* z t)) (* a b))
326.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify3.4s

Counts

47 → 47

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	85	777
1	273	719
2	1073	689
3	4790	677
done	5000	677

prune241.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

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:

671.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
91.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
122.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
132.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series858.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
200.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
206.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
205.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify2.5s

Counts

99 → 99

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	121	3550
1	282	3343
2	849	3107
3	3409	2718
done	5000	2643

prune567.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite321.0ms

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:

70.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
73.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
90.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
87.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series680.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
194.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
176.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
142.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify1.6s

Counts

64 → 64

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	65	1684
1	163	1656
2	494	1524
3	2202	1472
done	5000	1444

prune470.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.2b	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-log-exp`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `sum-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

155.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
156.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
174.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
762.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series11.7s

Counts

4 → 12

Calls

4 calls:

320.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
5.5s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
5.5s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
314.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify891.0ms

Counts

113 → 113

Iterations

Useful iterations: done (884.0ms)

Iter	Nodes	Cost
0	144	3926
1	329	2930
2	1263	2710
done	5000	2579

prune491.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes869.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	15
1	22	15
done	22	15

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.3s

13756×

body

valid