Details

sample306.0ms

Algorithm

intervals

Results

4.0ms	65×	body	1280	valid
3.0ms	167×	body	80	valid
3.0ms	59×	body	640	valid
1.0ms	27×	body	320	valid
1.0ms	16×	body	160	valid

simplify14.2s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.4b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
5.1b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite58.0ms

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:

35.0ms	(* (+ x 1.0) (+ x 1.0))
20.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series75.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (+ x 1.0) (+ x 1.0))
60.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify934.0ms

Counts

69 → 69

Iterations

Useful iterations: done (932.0ms)

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

prune83.0ms

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 (+ 2.0 x))

rewrite19.0ms

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:

18.0ms

(* 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 (58.0ms)

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

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

9.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify2.3s

Counts

18 → 18

Iterations

Useful iterations: 3 (234.0ms)

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

prune29.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x (pow 2.0 3) (pow x 4))
0.0b	(- (* x x) (* 2.0 x))
10.6b	(/ (fma x (pow 2.0 3) (pow x 4)) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`associate-/r/`
1×	`cbrt-undiv` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `clear-num` `flip--` `flip-+` `fma-udef` `div-inv`

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma x (pow 2.0 3) (pow x 4))
8.0ms	(- (* x x) (* 2.0 x))
30.0ms	(/ (fma x (pow 2.0 3) (pow x 4)) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

series334.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(fma x (pow 2.0 3) (pow x 4))
53.0ms	(- (* x x) (* 2.0 x))
175.0ms	(/ (fma x (pow 2.0 3) (pow x 4)) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

simplify1.2s

Counts

67 → 67

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	111	1343
1	254	1128
2	777	1036
3	2904	1035
done	5000	1034

prune167.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
done	7	7

end0.0ms

sample469.0ms

Algorithm

intervals

Results

134.0ms	2245×	body	1280	valid
77.0ms	5465×	body	80	valid
76.0ms	1655×	body	640	valid
32.0ms	839×	body	320	valid
10.0ms	408×	body	160	valid