Details

sample75.0ms

Algorithm

intervals

Results

31.0ms

401×

body

valid

simplify80.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	15
1	26	15
2	48	15
3	81	15
4	102	15
done	102	15

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`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 → 25

Calls

2 calls:

181.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
8.0ms	(+ (* x y) (* z t))

series376.0ms

Counts

2 → 6

Calls

2 calls:

325.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
51.0ms	(+ (* x y) (* z t))

simplify766.0ms

Counts

31 → 31

Iterations

Useful iterations: 2 (174.0ms)

Iter	Nodes	Cost
0	68	516
1	219	501
2	1174	457
done	5001	457

prune127.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
2.0b	(cbrt (+ (* x y) (* z t)))
2.0b	(cbrt (+ (* x y) (* z t)))
2.0b	(cbrt (+ (* x y) (* z t)))

rewrite86.0ms

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:

68.0ms	(* (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)))

series742.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
194.0ms	(cbrt (+ (* x y) (* z t)))
164.0ms	(cbrt (+ (* x y) (* z t)))
197.0ms	(cbrt (+ (* x y) (* z t)))

simplify1.1s

Counts

99 → 99

Iterations

Useful iterations: done (1.1s)

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

prune618.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.2b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
1.5b	(sqrt (+ (* x y) (* z t)))
1.5b	(sqrt (+ (* x y) (* z t)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
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` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

12.0ms	(+ (* x y) (* z t))
58.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
8.0ms	(sqrt (+ (* x y) (* z t)))
8.0ms	(sqrt (+ (* x y) (* z t)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (* x y) (* z t))
58.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
118.0ms	(sqrt (+ (* x y) (* z t)))
100.0ms	(sqrt (+ (* x y) (* z t)))

simplify881.0ms

Counts

110 → 110

Iterations

Useful iterations: done (877.0ms)

Iter	Nodes	Cost
0	106	2066
1	265	1485
2	1135	1367
done	5000	1332

prune429.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes661.0ms

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 (1.0ms)

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

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.6s

13587×

body

valid