Details

sample87.0ms

Algorithm

intervals

Results

42.0ms

463×

body

valid

simplify123.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	15
1	26	15
2	48	15
3	79	15
4	89	15
done	89	15

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

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))

rewrite240.0ms

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:

9.0ms	(+ (* x y) (* z t))
44.0ms	(+ (+ (* x y) (* z t)) (* a b))
186.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series445.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ (* x y) (* z t))
68.0ms	(+ (+ (* x y) (* z t)) (* a b))
310.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify3.2s

Counts

47 → 47

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	85	777
1	273	719
2	1073	689
3	4790	677
done	5000	677

prune222.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite361.0ms

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:

274.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
33.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
24.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
26.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series902.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
192.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
230.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
210.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify2.0s

Counts

99 → 99

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	128	2784
1	308	2609
2	875	2429
3	2599	2144
done	5001	2071

prune686.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.9b	(pow (cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))) 4)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

16.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
21.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
17.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
34.0ms	(pow (cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))) 4)

series1.1s

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
202.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
185.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
491.0ms	(pow (cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))) 4)

simplify1.6s

Counts

75 → 75

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	114	1600
1	283	1491
2	706	1384
3	2054	1353
done	5001	1293

prune610.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
3.0b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (pow (* a b) 2))
25.7b	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (pow (* a b) 2)))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `unpow2` `sqr-pow`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `diff-log`

Counts

4 → 59

Calls

4 calls:

25.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
37.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
66.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (pow (* a b) 2))
75.0ms	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (pow (* a b) 2)))

series1.2s

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
187.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
599.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (pow (* a b) 2))
273.0ms	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (pow (* a b) 2)))

simplify881.0ms

Counts

71 → 71

Iterations

Useful iterations: done (879.0ms)

Iter	Nodes	Cost
0	142	1892
1	354	1774
2	1109	1569
done	5001	1532

prune603.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes792.0ms

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

sample2.7s

Algorithm

intervals

Results

1.6s

13509×

body

valid