Details

sample100.0ms

Algorithm

intervals

Results

6.0ms	72×	body	1280	valid
5.0ms	64×	body	640	valid
3.0ms	166×	body	80	valid
1.0ms	23×	body	320	valid
1.0ms	17×	body	160	valid

simplify15.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	9
1	15	9
2	40	9
3	113	9
4	243	9
5	405	9
6	601	9
7	917	9
8	1420	9
9	2109	9
10	2900	9
11	3239	9
12	3554	9
13	3874	9
done	5000	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
4.9b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite60.0ms

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:

31.0ms	(* (+ x 1.0) (+ x 1.0))
25.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series78.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (+ x 1.0) (+ x 1.0))
63.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify978.0ms

Counts

69 → 69

Iterations

Useful iterations: done (976.0ms)

Iter	Nodes	Cost
0	106	849
1	281	717
2	989	646
done	5000	636

prune86.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ 2.0 x))

rewrite21.0ms

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:

21.0ms

(* x (+ 2.0 x))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* x (+ 2.0 x))

simplify1.2s

Counts

28 → 28

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	46	206
1	125	193
2	389	174
3	1376	174
done	5001	174

prune37.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `fma-def` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 15

Calls

1 calls:

7.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify2.4s

Counts

18 → 18

Iterations

Useful iterations: 3 (241.0ms)

Iter	Nodes	Cost
0	33	185
1	106	141
2	366	134
3	1172	123
4	3742	123
done	5000	123

prune27.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes10.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	6	5
done	6	5

end0.0ms

sample994.0ms

Algorithm

intervals

Results

492.0ms	2319×	body	1280	valid
141.0ms	1628×	body	640	valid
126.0ms	5483×	body	80	valid
67.0ms	815×	body	320	valid
15.0ms	444×	body	160	valid