Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

382×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	35	9
3	90	9
4	149	9
5	156	9
6	175	9
7	247	9
8	479	9
9	1228	9
done	5000	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `prod-diff` `add-cbrt-cube`
5×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
4×	`add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

53.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series91.0ms

Counts

1 → 3

Calls

1 calls:

91.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify1.6s

Counts

36 → 36

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	77	533
1	236	520
2	1730	456
done	5001	439

prune89.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 3.0 (* 2.0 x)) x)
0.1b	(* x (* (- 3.0 (* 2.0 x)) x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-r/` `-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 44

Calls

2 calls:

20.0ms	(* (- 3.0 (* 2.0 x)) x)
30.0ms	(* x (* (- 3.0 (* 2.0 x)) x))

series245.0ms

Counts

2 → 6

Calls

2 calls:

120.0ms	(* (- 3.0 (* 2.0 x)) x)
125.0ms	(* x (* (- 3.0 (* 2.0 x)) x))

simplify908.0ms

Counts

50 → 50

Iterations

Useful iterations: done (905.0ms)

Iter	Nodes	Cost
0	72	569
1	185	555
2	1016	489
done	5001	473

prune177.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 2.0 (pow x 3))
0.0b	(- (* 3.0 (pow x 2)) (* 2.0 (pow x 3)))
0.2b	(* 3.0 (pow x 2))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
20×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `unswap-sqr`
7×	`add-cbrt-cube`
6×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `unpow2`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `prod-diff` `flip--`

Counts

3 → 78

Calls

3 calls:

14.0ms	(* 2.0 (pow x 3))
23.0ms	(- (* 3.0 (pow x 2)) (* 2.0 (pow x 3)))
14.0ms	(* 3.0 (pow x 2))

series264.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(* 2.0 (pow x 3))
154.0ms	(- (* 3.0 (pow x 2)) (* 2.0 (pow x 3)))
47.0ms	(* 3.0 (pow x 2))

simplify1.1s

Counts

87 → 87

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	126	833
1	307	744
2	1287	679
done	5000	637

prune270.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b

(+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))

0.2b

(* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3)))

6.1b

(/ (* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3))) (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))

rewrite466.0ms

Algorithm

rewrite-expression-head

Rules

192×	`prod-diff`
98×	`distribute-rgt-in` `distribute-lft-in`
89×	`add-sqr-sqrt`
80×	`*-un-lft-identity`
78×	`add-cube-cbrt`
74×	`unpow-prod-down` `cube-prod`
46×	`sqr-pow`
40×	`cube-mult` `unpow3`
17×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
8×	`pow1` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`add-log-exp`
4×	`associate-*r/`
3×	`cbrt-undiv` `expm1-log1p-u` `times-frac` `div-exp` `pow-prod-down` `associate-/r*` `log1p-expm1-u`
2×	`sub-neg` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`difference-cubes` `+-commutative` `distribute-rgt-out` `fma-def` `frac-2neg` `associate-l` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 273

Calls

3 calls:

32.0ms

(+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))

148.0ms

(* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3)))

262.0ms

(/ (* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3))) (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))

series679.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms

(+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))

177.0ms

(* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3)))

378.0ms

(/ (* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3))) (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))

simplify954.0ms

Counts

282 → 282

Iterations

Useful iterations: done (922.0ms)

Iter	Nodes	Cost
0	410	12464
1	1403	8534
done	5000	6941

prune408.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
done	10	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

871.0ms

12103×

body

valid