Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

350×

body

valid

simplify163.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	35	9
3	65	9
4	89	9
5	103	9
6	145	9
7	235	9
8	265	9
done	265	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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:

2.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
2.0ms	(+ 0.253 (* x 0.12))
9.0ms	(* x (+ 0.253 (* x 0.12)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
40.0ms	(+ 0.253 (* x 0.12))
64.0ms	(* x (+ 0.253 (* x 0.12)))

simplify1.7s

Counts

56 → 56

Iterations

Useful iterations: 2 (256.0ms)

Iter	Nodes	Cost
0	84	617
1	221	574
2	673	532
3	2500	532
done	5000	532

prune101.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
0.1b	(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
0.2b	(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
0.3b	(* (* x 0.12) (* x 0.12))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
27×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity`
19×	`associate-r`
18×	`pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
8×	`difference-of-squares`
6×	`add-log-exp`
4×	`flip3--` `associate-l` `associate-/r/` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`associate-/r*`
2×	`cbrt-undiv` `pow-plus` `div-exp` `*-commutative` `div-inv` `associate-/l/` `unswap-sqr`
1×	`pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-*r/` `swap-sqr` `clear-num`

Counts

4 → 120

Calls

4 calls:

3.0ms	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
17.0ms	(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
9.0ms	(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
10.0ms	(* (* x 0.12) (* x 0.12))

series374.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
167.0ms	(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
118.0ms	(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
30.0ms	(* (* x 0.12) (* x 0.12))

simplify739.0ms

Counts

132 → 132

Iterations

Useful iterations: done (735.0ms)

Iter	Nodes	Cost
0	161	2472
1	433	2261
2	1574	1597
done	5000	1577

prune244.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (+ (* 0.253 x) (* (* x x) 0.12)))
0.0b	(+ (* 0.253 x) (* (* x x) 0.12))
0.2b	(* (* x x) 0.12)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

6.0ms	(- 1.0 (+ (* 0.253 x) (* (* x x) 0.12)))
3.0ms	(+ (* 0.253 x) (* (* x x) 0.12))
7.0ms	(* (* x x) 0.12)

series126.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- 1.0 (+ (* 0.253 x) (* (* x x) 0.12)))
72.0ms	(+ (* 0.253 x) (* (* x x) 0.12))
29.0ms	(* (* x x) 0.12)

simplify2.3s

Counts

55 → 55

Iterations

Useful iterations: 3 (961.0ms)

Iter	Nodes	Cost
0	87	699
1	239	646
2	837	524
3	3690	520
done	5001	520

prune106.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (+ (* 0.253 x) (* (* (* x x) (sqrt 0.12)) (sqrt 0.12))))
0.0b	(+ (* 0.253 x) (* (* (* x x) (sqrt 0.12)) (sqrt 0.12)))
0.2b	(* (* (* x x) (sqrt 0.12)) (sqrt 0.12))
0.2b	(* (* x x) (sqrt 0.12))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

6.0ms	(- 1.0 (+ (* 0.253 x) (* (* (* x x) (sqrt 0.12)) (sqrt 0.12))))
3.0ms	(+ (* 0.253 x) (* (* (* x x) (sqrt 0.12)) (sqrt 0.12)))
29.0ms	(* (* (* x x) (sqrt 0.12)) (sqrt 0.12))
9.0ms	(* (* x x) (sqrt 0.12))

series311.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- 1.0 (+ (* 0.253 x) (* (* (* x x) (sqrt 0.12)) (sqrt 0.12))))
119.0ms	(+ (* 0.253 x) (* (* (* x x) (sqrt 0.12)) (sqrt 0.12)))
78.0ms	(* (* (* x x) (sqrt 0.12)) (sqrt 0.12))
52.0ms	(* (* x x) (sqrt 0.12))

simplify1.2s

Counts

86 → 86

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	115	1290
1	320	918
2	1218	826
done	5000	824

prune150.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	14	21
done	14	21

end0.0ms

sample336.0ms

Algorithm

intervals

Results

211.0ms

10627×

body

valid