Details

sample39.0ms

Algorithm

intervals

Results

23.0ms

332×

body

valid

simplify13.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	42	9
3	79	9
4	108	9
5	123	9
6	170	9
7	734	9
8	4952	9
done	5000	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.12) 0.253)
0.1b	(* x (+ (* x 0.12) 0.253))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

13.0ms	(+ (* x 0.12) 0.253)
51.0ms	(* x (+ (* x 0.12) 0.253))

series136.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* x 0.12) 0.253)
92.0ms	(* x (+ (* x 0.12) 0.253))

simplify513.0ms

Counts

39 → 39

Iterations

Useful iterations: done (512.0ms)

Iter	Nodes	Cost
0	60	377
1	187	371
2	811	335
done	5001	327

prune83.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ (* x 0.12) 0.253))) (cbrt (* x (+ (* x 0.12) 0.253))))
0.6b	(cbrt (* x (+ (* x 0.12) 0.253)))
0.6b	(cbrt (* x (+ (* x 0.12) 0.253)))
0.6b	(cbrt (* x (+ (* x 0.12) 0.253)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

36.0ms	(* (cbrt (* x (+ (* x 0.12) 0.253))) (cbrt (* x (+ (* x 0.12) 0.253))))
16.0ms	(cbrt (* x (+ (* x 0.12) 0.253)))
16.0ms	(cbrt (* x (+ (* x 0.12) 0.253)))
24.0ms	(cbrt (* x (+ (* x 0.12) 0.253)))

series666.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(* (cbrt (* x (+ (* x 0.12) 0.253))) (cbrt (* x (+ (* x 0.12) 0.253))))
144.0ms	(cbrt (* x (+ (* x 0.12) 0.253)))
133.0ms	(cbrt (* x (+ (* x 0.12) 0.253)))
168.0ms	(cbrt (* x (+ (* x 0.12) 0.253)))

simplify1.1s

Counts

84 → 84

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	189	2160
1	515	2039
2	2251	1925
done	5000	1794

prune375.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

21.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

287.0ms	(* (cbrt x) (cbrt x))
249.0ms	(cbrt x)
256.0ms	(cbrt x)
253.0ms	(cbrt x)

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune397.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt x) (+ (* x 0.12) 0.253))
0.3b	(* (cbrt (* x x)) (* (cbrt x) (+ (* x 0.12) 0.253)))
0.6b	(cbrt x)
22.0b	(cbrt (* x x))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log`
10×	`associate-l`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`flip3-+` `pow1/3` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

53.0ms	(* (cbrt x) (+ (* x 0.12) 0.253))
89.0ms	(* (cbrt (* x x)) (* (cbrt x) (+ (* x 0.12) 0.253)))
2.0ms	(cbrt x)
7.0ms	(cbrt (* x x))

series1.4s

Counts

4 → 12

Calls

4 calls:

605.0ms	(* (cbrt x) (+ (* x 0.12) 0.253))
124.0ms	(* (cbrt (* x x)) (* (cbrt x) (+ (* x 0.12) 0.253)))
348.0ms	(cbrt x)
309.0ms	(cbrt (* x x))

simplify1.3s

Counts

83 → 83

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	129	934
1	361	912
2	1848	811
done	5002	797

prune293.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample732.0ms

Algorithm

intervals

Results

494.0ms

10686×

body

valid