Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

472×

body

valid

simplify255.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	11	7
2	27	7
3	65	7
4	104	7
5	134	7
6	154	7
7	171	7
8	173	7
done	173	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ x y))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 42

Calls

1 calls:

49.0ms

(* (+ x y) (+ x y))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* (+ x y) (+ x y))

simplify2.9s

Counts

45 → 45

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	64	532
1	193	465
2	792	416
3	3639	380
done	5000	380

prune69.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y (fma x 2 y) (* x x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma y (fma x 2 y) (* x x))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(fma y (fma x 2 y) (* x x))

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	22	165
1	42	165
2	100	135
3	323	135
4	1691	135
done	5001	135

prune43.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y (fma x 2 y)) (* x x))
0.0b	(* y (fma x 2 y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

12.0ms	(+ (* y (fma x 2 y)) (* x x))
10.0ms	(* y (fma x 2 y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* y (fma x 2 y)) (* x x))
58.0ms	(* y (fma x 2 y))

simplify1.3s

Counts

44 → 44

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	67	494
1	171	454
2	489	401
3	1790	395
done	5000	394

prune108.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) x)
0.0b	(+ (* (+ x y) x) (* (+ x y) y))
0.0b	(* (+ x y) y)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*l/`
11×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-l`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
6×	`associate-r`
5×	`add-log-exp`
4×	`frac-add`
3×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `sum-log`

Counts

3 → 65

Calls

3 calls:

28.0ms	(* (+ x y) x)
21.0ms	(+ (* (+ x y) x) (* (+ x y) y))
36.0ms	(* (+ x y) y)

series111.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* (+ x y) x)
32.0ms	(+ (* (+ x y) x) (* (+ x y) y))
42.0ms	(* (+ x y) y)

simplify1.4s

Counts

74 → 74

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	112	875
1	311	745
2	1205	663
done	5000	637

prune137.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	9	10
done	9	10

end0.0ms

sample976.0ms

Algorithm

intervals

Results

399.0ms

14235×

body

valid