Details

sample34.0ms

Algorithm

intervals

Results

18.0ms

397×

body

valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	35	9
3	88	9
4	140	9
5	147	9
6	164	9
7	211	9
8	355	9
9	829	9
10	2619	9
done	5000	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite62.0ms

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:

60.0ms

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

series120.0ms

Counts

1 → 3

Calls

1 calls:

120.0ms

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

simplify2.7s

Counts

36 → 36

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	77	533
1	207	518
2	681	442
3	2676	421
done	5002	397

prune95.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sum-log` `log1p-expm1-u`
1×	`+-commutative` `neg-sub0` `associate-+r-` `fma-def` `flip3-+` `associate-l` `unsub-neg` `neg-log` `*-commutative` `flip-+`

Counts

2 → 38

Calls

2 calls:

22.0ms	(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
26.0ms	(* (* x 3.0) x)

series203.0ms

Counts

2 → 6

Calls

2 calls:

153.0ms	(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
50.0ms	(* (* x 3.0) x)

simplify5.4s

Counts

44 → 44

Iterations

Useful iterations: 3 (3.0s)

Iter	Nodes	Cost
0	71	485
1	196	435
2	788	392
3	4088	351
done	5000	351

prune140.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (fma 2.0 (- x) 3.0) x)
0.2b	(* x (* (fma 2.0 (- x) 3.0) x))

rewrite58.0ms

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` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 40

Calls

2 calls:

15.0ms	(* (fma 2.0 (- x) 3.0) x)
41.0ms	(* x (* (fma 2.0 (- x) 3.0) x))

series237.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(* (fma 2.0 (- x) 3.0) x)
144.0ms	(* x (* (fma 2.0 (- x) 3.0) x))

simplify1.6s

Counts

46 → 46

Iterations

Useful iterations: 3 (661.0ms)

Iter	Nodes	Cost
0	62	517
1	133	503
2	452	429
3	1758	417
done	5002	417

prune100.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0))))
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)))
7.1b	(/ (* (* 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)))))

rewrite558.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 289

Calls

4 calls:

75.0ms	(+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0))))
38.0ms	(+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))
137.0ms	(* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3)))
291.0ms	(/ (* (* 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)))))

series670.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0))))
105.0ms	(+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))
205.0ms	(* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3)))
334.0ms	(/ (* (* 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)))))

simplify2.9s

Counts

301 → 301

Iterations

Useful iterations: 2 (1.3s)

Iter	Nodes	Cost
0	424	12889
1	986	8100
2	3950	6461
done	5000	6461

prune444.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	18	12
2	20	12
done	20	12

end0.0ms

sample717.0ms

Algorithm

intervals

Results

441.0ms

12023×

body

valid