Details

sample107.0ms

Algorithm

intervals

Results

41.0ms

452×

body

valid

simplify76.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite221.0ms

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:

137.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
15.0ms	(+ (* x y) (* z t))
67.0ms	(+ (+ (* x y) (* z t)) (* a b))

series477.0ms

Counts

3 → 9

Calls

3 calls:

326.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
49.0ms	(+ (* x y) (* z t))
101.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify738.0ms

Counts

47 → 47

Iterations

Useful iterations: 2 (160.0ms)

Iter	Nodes	Cost
0	85	777
1	277	719
2	1361	689
done	5000	689

prune228.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

14.0ms	(+ (* a b) (* i c))
20.0ms	(+ (* x y) (* z t))
59.0ms	(+ (+ (* x y) (* z t)) (+ (* a b) (* i c)))

series385.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (* a b) (* i c))
51.0ms	(+ (* x y) (* z t))
280.0ms	(+ (+ (* x y) (* z t)) (+ (* a b) (* i c)))

simplify1.1s

Counts

52 → 52

Iterations

Useful iterations: 2 (161.0ms)

Iter	Nodes	Cost
0	97	1084
1	353	998
2	1837	968
done	5001	968

prune264.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.8b	(cbrt (+ (* x y) (* z t)))
1.8b	(cbrt (+ (* x y) (* z t)))
1.8b	(cbrt (+ (* x y) (* z t)))

rewrite104.0ms

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:

75.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
8.0ms	(cbrt (+ (* x y) (* z t)))
9.0ms	(cbrt (+ (* x y) (* z t)))
8.0ms	(cbrt (+ (* x y) (* z t)))

series599.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
142.0ms	(cbrt (+ (* x y) (* z t)))
157.0ms	(cbrt (+ (* x y) (* z t)))
128.0ms	(cbrt (+ (* x y) (* z t)))

simplify1.0s

Counts

99 → 99

Iterations

Useful iterations: done (992.0ms)

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

prune552.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* a b) (* i c))) (cbrt (+ (* a b) (* i c))))
0.8b	(cbrt (+ (* a b) (* i c)))
0.8b	(cbrt (+ (* a b) (* i c)))
0.8b	(cbrt (+ (* a b) (* i c)))

rewrite93.0ms

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:

67.0ms	(* (cbrt (+ (* a b) (* i c))) (cbrt (+ (* a b) (* i c))))
7.0ms	(cbrt (+ (* a b) (* i c)))
7.0ms	(cbrt (+ (* a b) (* i c)))
7.0ms	(cbrt (+ (* a b) (* i c)))

series578.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (+ (* a b) (* i c))) (cbrt (+ (* a b) (* i c))))
133.0ms	(cbrt (+ (* a b) (* i c)))
127.0ms	(cbrt (+ (* a b) (* i c)))
157.0ms	(cbrt (+ (* a b) (* i c)))

simplify854.0ms

Counts

99 → 99

Iterations

Useful iterations: done (851.0ms)

Iter	Nodes	Cost
0	125	2030
1	333	1881
2	1135	1751
done	5000	1634

prune478.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes586.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	34
1	26	34
done	26	34

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.1s

13613×

body

valid