Details

sample258.0ms

Algorithm

intervals

Results

5.0ms	62×	body	1280	valid
3.0ms	61×	body	640	valid
3.0ms	185×	body	80	valid
1.0ms	25×	body	320	valid
0.0ms	11×	body	160	valid

simplify14.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	9
1	15	9
2	35	9
3	84	9
4	204	9
5	332	9
6	509	9
7	793	9
8	1565	9
9	2281	9
10	2856	9
11	3238	9
12	3543	9
13	4105	9
done	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.8b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
4.0b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`pow1`
7×	`add-cube-cbrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
4×	`add-exp-log` `frac-times` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`prod-diff`
2×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `log1p-expm1-u`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

19.0ms	(* (+ x 1.0) (+ x 1.0))
10.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series72.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(* (+ x 1.0) (+ x 1.0))
54.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify2.7s

Counts

69 → 69

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	106	849
1	276	717
2	975	646
3	4983	593
done	5000	593

prune96.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ x 2.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

8.0ms

(* x (+ x 2.0))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* x (+ x 2.0))

simplify3.6s

Counts

28 → 28

Iterations

Useful iterations: 3 (158.0ms)

Iter	Nodes	Cost
0	46	206
1	125	193
2	345	175
3	1115	174
4	4630	174
done	5000	174

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (pow x 2) (* 2.0 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

8×	`fma-def`
3×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `add-log-exp`
2×	`unpow2`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `distribute-rgt-out` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `sqr-pow`

Counts

1 → 22

Calls

1 calls:

6.0ms

(+ (pow x 2) (* 2.0 x))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(+ (pow x 2) (* 2.0 x))

simplify1.6s

Counts

25 → 25

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	30	185
1	95	172
2	324	125
3	946	123
4	2540	123
done	5000	123

prune42.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	8	14
done	8	14

end0.0ms

sample458.0ms

Algorithm

intervals

Results

138.0ms	2214×	body	1280	valid
83.0ms	1675×	body	640	valid
82.0ms	5577×	body	80	valid
33.0ms	815×	body	320	valid
12.0ms	407×	body	160	valid