Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

336×

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* x (+ (* x 0.12) 0.253)))
0.0b	(+ (* x 0.12) 0.253)
0.1b	(* x (+ (* x 0.12) 0.253))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

5.0ms	(- 1.0 (* x (+ (* x 0.12) 0.253)))
13.0ms	(+ (* x 0.12) 0.253)
52.0ms	(* x (+ (* x 0.12) 0.253))

series181.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- 1.0 (* x (+ (* x 0.12) 0.253)))
46.0ms	(+ (* x 0.12) 0.253)
95.0ms	(* x (+ (* x 0.12) 0.253))

simplify685.0ms

Counts

56 → 56

Iterations

Useful iterations: done (683.0ms)

Iter	Nodes	Cost
0	84	621
1	247	592
2	1067	550
done	5001	536

prune143.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (+ (* x (* x 0.12)) (* x 0.253)))
0.0b	(+ (* x (* x 0.12)) (* x 0.253))
0.1b	(* x (* x 0.12))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-r` `*-commutative` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 46

Calls

3 calls:

61.0ms	(- 1.0 (+ (* x (* x 0.12)) (* x 0.253)))
16.0ms	(+ (* x (* x 0.12)) (* x 0.253))
31.0ms	(* x (* x 0.12))

series168.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- 1.0 (+ (* x (* x 0.12)) (* x 0.253)))
95.0ms	(+ (* x (* x 0.12)) (* x 0.253))
40.0ms	(* x (* x 0.12))

simplify1.0s

Counts

55 → 55

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	85	695
1	235	564
2	1130	524
done	5001	522

prune173.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x 0.12))
0.4b	(* (sqrt (* x (* x 0.12))) (sqrt (* x (* x 0.12))))
20.7b	(sqrt (* x (* x 0.12)))
20.7b	(sqrt (* x (* x 0.12)))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`sqrt-prod`
5×	`associate-r`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

29.0ms	(* x (* x 0.12))
120.0ms	(* (sqrt (* x (* x 0.12))) (sqrt (* x (* x 0.12))))
22.0ms	(sqrt (* x (* x 0.12)))
24.0ms	(sqrt (* x (* x 0.12)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* x (* x 0.12))
94.0ms	(* (sqrt (* x (* x 0.12))) (sqrt (* x (* x 0.12))))
57.0ms	(sqrt (* x (* x 0.12)))
51.0ms	(sqrt (* x (* x 0.12)))

simplify1.0s

Counts

120 → 120

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	79	1100
1	209	764
2	1272	671
done	5000	646

prune304.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (+ (* 0.12 (pow x 2)) (* x 0.253)))
0.0b	(+ (* 0.12 (pow x 2)) (* x 0.253))
0.4b	(* 0.12 (pow x 2))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`add-log-exp`
8×	`add-exp-log` `-un-lft-identity` `associate-r*`
6×	`add-cube-cbrt`
5×	`add-cbrt-cube`
4×	`unpow-prod-down` `unswap-sqr`
3×	`pow1` `associate-l` `prod-exp`
2×	`diff-log` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 54

Calls

3 calls:

43.0ms	(- 1.0 (+ (* 0.12 (pow x 2)) (* x 0.253)))
20.0ms	(+ (* 0.12 (pow x 2)) (* x 0.253))
25.0ms	(* 0.12 (pow x 2))

series200.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- 1.0 (+ (* 0.12 (pow x 2)) (* x 0.253)))
121.0ms	(+ (* 0.12 (pow x 2)) (* x 0.253))
51.0ms	(* 0.12 (pow x 2))

simplify727.0ms

Counts

63 → 63

Iterations

Useful iterations: done (725.0ms)

Iter	Nodes	Cost
0	102	768
1	263	695
2	1163	646
done	5000	570

prune152.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes27.0ms

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	9	11
1	13	11
done	13	11

end0.0ms

sample792.0ms

Algorithm

intervals

Results

542.0ms

10705×

body

valid