Details

sample101.0ms

Algorithm

intervals

Results

42.0ms

414×

body

valid

simplify59.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	15
1	26	15
2	48	15
3	82	15
4	105	15
5	106	15
done	106	15

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

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))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 38

Calls

3 calls:

6.0ms	(+ (* x y) (* z t))
30.0ms	(+ (+ (* x y) (* z t)) (* a b))
149.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series463.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (* x y) (* z t))
84.0ms	(+ (+ (* x y) (* z t)) (* a b))
314.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify767.0ms

Counts

47 → 47

Iterations

Useful iterations: 2 (151.0ms)

Iter	Nodes	Cost
0	84	777
1	277	719
2	1570	689
done	5001	689

prune412.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
7×	`flip3-+` `flip-+`
5×	`*-un-lft-identity`
4×	`frac-add`
3×	`add-sqr-sqrt` `pow1` `+-commutative` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
1×	`associate-+l+` `associate-+r+` `distribute-lft-out`

Counts

3 → 43

Calls

3 calls:

12.0ms	(+ (* a b) (* c i))
12.0ms	(+ (* x y) (* z t))
66.0ms	(+ (+ (* x y) (* z t)) (+ (* a b) (* c i)))

series431.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ (* a b) (* c i))
54.0ms	(+ (* x y) (* z t))
313.0ms	(+ (+ (* x y) (* z t)) (+ (* a b) (* c i)))

simplify835.0ms

Counts

52 → 52

Iterations

Useful iterations: 2 (189.0ms)

Iter	Nodes	Cost
0	100	1084
1	359	998
2	2055	968
done	5000	968

prune433.0ms

Pruning

6 alts after pruning (5 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))) (cbrt (+ (* x y) (* z t))))
1.6b	(cbrt (+ (* x y) (* z t)))
1.6b	(cbrt (+ (* x y) (* z t)))
1.6b	(cbrt (+ (* x y) (* z t)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

55.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))

series697.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
181.0ms	(cbrt (+ (* x y) (* z t)))
162.0ms	(cbrt (+ (* x y) (* z t)))
172.0ms	(cbrt (+ (* x y) (* z t)))

simplify865.0ms

Counts

99 → 99

Iterations

Useful iterations: done (859.0ms)

Iter	Nodes	Cost
0	128	2030
1	335	1881
2	1094	1751
done	5000	1634

prune1.0s

Pruning

6 alts after pruning (4 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))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite764.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

599.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
47.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
48.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
65.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series921.0ms

Counts

4 → 12

Calls

4 calls:

318.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
185.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
198.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
220.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify681.0ms

Counts

99 → 99

Iterations

Useful iterations: done (677.0ms)

Iter	Nodes	Cost
0	121	3550
1	304	3343
2	1147	3107
done	5000	2762

prune980.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes2.8s

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

sample3.2s

Algorithm

intervals

Results

1.2s

13869×

body

valid