Details

sample59.0ms

Algorithm

intervals

Results

31.0ms

434×

body

valid

simplify61.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite248.0ms

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:

160.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
69.0ms	(+ (+ (* x y) (* z t)) (* a b))
16.0ms	(+ (* x y) (* z t))

series437.0ms

Counts

3 → 9

Calls

3 calls:

313.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
76.0ms	(+ (+ (* x y) (* z t)) (* a b))
48.0ms	(+ (* x y) (* z t))

simplify2.8s

Counts

47 → 47

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	85	777
1	273	719
2	1074	689
3	4802	677
done	5000	677

prune253.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

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:

8.0ms	(+ (* x y) (* z t))
171.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
151.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
709.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series11.8s

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* x y) (* z t))
5.6s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
5.9s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
302.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify869.0ms

Counts

110 → 110

Iterations

Useful iterations: done (866.0ms)

Iter	Nodes	Cost
0	149	3730
1	378	2739
2	1460	2535
done	5000	2412

prune426.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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))) (exp (log (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))))
2.4b	(exp (log (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

150.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
157.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
647.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (exp (log (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))))
87.0ms	(exp (log (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

series15.5s

Counts

4 → 12

Calls

4 calls:

5.0s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
4.9s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
329.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (exp (log (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))))
5.4s	(exp (log (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

simplify635.0ms

Counts

104 → 104

Iterations

Useful iterations: done (623.0ms)

Iter	Nodes	Cost
0	157	3950
1	314	3308
2	1122	2759
done	5000	2624

prune521.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.2b	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.2b	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.3b	(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

rewrite859.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-div` `sqrt-div`
11×	`pow1` `swap-sqr`
9×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+` `unswap-sqr`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 112

Calls

4 calls:

92.0ms	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
94.0ms	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
92.0ms	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
574.0ms	(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

series610.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
169.0ms	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
126.0ms	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
141.0ms	(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

simplify1.6s

Counts

124 → 124

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	133	5000
1	282	4637
2	797	4393
3	2859	3976
done	5002	3858

prune729.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes697.0ms

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	15	15
1	22	15
done	22	15

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.5s

13624×

body

valid