Details

sample69.0ms

Algorithm

intervals

Results

13.0ms

374×

body

valid

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	38	9
3	81	9
4	102	9
5	145	9
6	281	9
7	739	9
8	2436	9
done	5000	9

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* (* x x) x)
0.1b	(* 0.12900613773279798 (* (* x x) x))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

13.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
21.0ms	(* (* x x) x)
70.0ms	(* 0.12900613773279798 (* (* x x) x))

series282.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
53.0ms	(* (* x x) x)
71.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify3.4s

Counts

70 → 70

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	80	698
1	192	506
2	672	427
3	3173	425
done	5000	425

prune152.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

7.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
19.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
23.0ms	(* 0.12900613773279798 (* x x))

series311.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
162.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
34.0ms	(* 0.12900613773279798 (* x x))

simplify2.0s

Counts

64 → 64

Iterations

Useful iterations: 2 (221.0ms)

Iter	Nodes	Cost
0	85	673
1	197	636
2	577	564
3	2178	564
done	5000	564

prune179.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

14.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

276.0ms	(* (cbrt x) (cbrt x))
335.0ms	(cbrt x)
304.0ms	(cbrt x)
316.0ms	(cbrt x)

simplify5.0s

Counts

85 → 85

Iterations

Useful iterations: done (5.0s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune312.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.12900613773279798 (* (sqrt (pow x 3)) (sqrt (pow x 3))))
0.1b	(* (sqrt (pow x 3)) (sqrt (pow x 3)))
25.4b	(sqrt (pow x 3))
25.4b	(sqrt (pow x 3))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

126×	`sqrt-prod`
82×	`add-sqr-sqrt`
36×	`unpow-prod-down` `cube-prod`
31×	`add-cube-cbrt` `*-un-lft-identity`
26×	`unswap-sqr`
23×	`swap-sqr`
18×	`associate-l` `sqr-pow`
16×	`pow1` `associate-r`
11×	`add-exp-log` `add-cbrt-cube`
8×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
6×	`cube-mult` `unpow3` `pow-prod-down`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-sqr` `pow-prod-up`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 170

Calls

4 calls:

44.0ms	(* 0.12900613773279798 (* (sqrt (pow x 3)) (sqrt (pow x 3))))
61.0ms	(* (sqrt (pow x 3)) (sqrt (pow x 3)))
4.0ms	(sqrt (pow x 3))
4.0ms	(sqrt (pow x 3))

series248.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* 0.12900613773279798 (* (sqrt (pow x 3)) (sqrt (pow x 3))))
68.0ms	(* (sqrt (pow x 3)) (sqrt (pow x 3)))
56.0ms	(sqrt (pow x 3))
46.0ms	(sqrt (pow x 3))

simplify1.6s

Counts

182 → 182

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	137	2341
1	271	1342
2	875	1282
done	5001	1264

prune480.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

Details

sample69.0ms

simplify5.9s

prune7.0ms

localize10.0ms

rewrite108.0ms

series282.0ms

simplify3.4s

prune152.0ms

localize7.0ms

rewrite51.0ms

series311.0ms

simplify2.0s

prune179.0ms

localize23.0ms

rewrite19.0ms

series1.2s

simplify5.0s

prune312.0ms

localize10.0ms

rewrite121.0ms

series248.0ms

simplify1.6s

prune480.0ms

regimes2.0ms