Details

sample81.0ms

Algorithm

intervals

Results

27.0ms

430×

body

valid

simplify64.0ms

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

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite209.0ms

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:

16.0ms	(+ (* x y) (* z t))
156.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
35.0ms	(+ (+ (* x y) (* z t)) (* a b))

series417.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (* x y) (* z t))
276.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
88.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify3.4s

Counts

47 → 47

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	85	777
1	273	719
2	1075	689
3	4799	677
done	5001	677

prune190.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite896.0ms

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:

687.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
62.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
81.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
60.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series838.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
187.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
186.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
166.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify2.3s

Counts

99 → 99

Iterations

Useful iterations: done (2.3s)

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

prune439.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

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)))

rewrite372.0ms

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:

57.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
99.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
115.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
99.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series735.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
186.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
206.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
184.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify1.5s

Counts

64 → 64

Iterations

Useful iterations: done (1.5s)

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

prune500.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

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

rewrite434.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
10×	`cbrt-prod`
9×	`flip3-+` `flip-+`
7×	`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/` `associate-l/`

Counts

4 → 56

Calls

4 calls:

81.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
88.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
73.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
187.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

series818.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
170.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
183.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
289.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

simplify1.6s

Counts

68 → 68

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	116	2479
1	252	2426
2	683	2252
3	2667	2160
done	5000	2097

prune502.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes779.0ms

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

sample1.7s

Algorithm

intervals

Results

648.0ms

13686×

body

valid