Details

sample33.0ms

Algorithm

intervals

Results

18.0ms

374×

body

valid

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	35	9
3	80	9
4	112	9
5	117	9
6	134	9
7	177	9
8	313	9
9	771	9
10	2511	9
done	5000	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

58.0ms

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

series102.0ms

Counts

1 → 3

Calls

1 calls:

102.0ms

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

simplify2.2s

Counts

28 → 28

Iterations

Useful iterations: 2 (128.0ms)

Iter	Nodes	Cost
0	57	367
1	161	352
2	594	294
3	2367	294
done	5002	294

prune73.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
13×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-log-exp`
6×	`prod-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod`
3×	`pow-prod-down`
2×	`sum-log` `*-commutative` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 65

Calls

3 calls:

26.0ms	(* 2.0 (pow x 3))
44.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
38.0ms	(* (* x x) 3.0)

series237.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* 2.0 (pow x 3))
138.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
37.0ms	(* (* x x) 3.0)

simplify1.4s

Counts

74 → 74

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	110	718
1	275	620
2	1029	568
done	5001	536

prune194.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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×	`flip3--` `associate-r/` `-commutative` `flip--` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 40

Calls

2 calls:

21.0ms	(* (- 3.0 (* 2.0 x)) x)
32.0ms	(* x (* (- 3.0 (* 2.0 x)) x))

series159.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (- 3.0 (* 2.0 x)) x)
83.0ms	(* x (* (- 3.0 (* 2.0 x)) x))

simplify2.1s

Counts

46 → 46

Iterations

Useful iterations: 3 (825.0ms)

Iter	Nodes	Cost
0	68	533
1	166	519
2	580	449
3	2290	433
done	5000	433

prune105.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x)))
0.1b	(* (- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x))) x)
0.2b	(* x (* (- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x))) x))
2.3b	(/ (* x (* (- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x))) x)) (+ 3.0 (* 2.0 x)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l` `prod-exp` `cbrt-unprod`
6×	`associate-*l/` `add-log-exp`
4×	`flip3--` `associate-r/` `associate-r*` `pow-prod-down` `flip--`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`associate-/r/` `*-commutative` `associate-/l/` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `flip3-+` `diff-log` `clear-num` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

21.0ms	(- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x)))
55.0ms	(* (- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x))) x)
55.0ms	(* x (* (- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x))) x))
62.0ms	(/ (* x (* (- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x))) x)) (+ 3.0 (* 2.0 x)))

series616.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x)))
148.0ms	(* (- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x))) x)
145.0ms	(* x (* (- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x))) x))
241.0ms	(/ (* x (* (- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x))) x)) (+ 3.0 (* 2.0 x)))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	133	1974
1	366	1899
2	1589	1537
done	5002	1343

prune221.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

Details

sample33.0ms

simplify5.8s

prune3.0ms

localize13.0ms

rewrite59.0ms

series102.0ms

simplify2.2s

prune73.0ms

localize16.0ms

rewrite111.0ms

series237.0ms

simplify1.4s

prune194.0ms

localize7.0ms

rewrite55.0ms

series159.0ms

simplify2.1s

prune105.0ms

localize16.0ms

rewrite195.0ms

series616.0ms

simplify1.7s

prune221.0ms

regimes1.0ms