Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

452×

body

valid

simplify92.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	7
1	11	7
2	26	7
3	50	7
4	91	7
5	117	7
6	135	7
7	148	7
8	150	7
done	150	7

prune1.0ms

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 y) (+ x y))

rewrite17.0ms

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:

16.0ms

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

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify418.0ms

Counts

45 → 45

Iterations

Useful iterations: done (417.0ms)

Iter	Nodes	Cost
0	64	532
1	193	465
2	899	416
done	5000	400

prune53.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

9.0ms	(* x (+ x y))
5.0ms	(+ (* x (+ x y)) (* (+ x y) y))
9.0ms	(* (+ x y) y)

series71.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* x (+ x y))
21.0ms	(+ (* x (+ x y)) (* (+ x y) y))
25.0ms	(* (+ x y) y)

simplify705.0ms

Counts

77 → 77

Iterations

Useful iterations: done (704.0ms)

Iter	Nodes	Cost
0	116	900
1	352	766
2	1668	690
done	5000	684

prune125.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma x x (* y (+ (* 2 x) y)))
10.0ms	(* y (+ (* 2 x) y))

series64.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(fma x x (* y (+ (* 2 x) y)))
34.0ms	(* y (+ (* 2 x) y))

simplify2.6s

Counts

40 → 40

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	62	443
1	170	378
2	733	337
3	3389	337
done	5001	337

prune85.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 calls:

0.0ms	(fma x x (+ (* 2 (* x y)) (* y y)))
6.0ms	(* 2 (* x y))
5.0ms	(+ (* 2 (* x y)) (* y y))

series89.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(fma x x (+ (* 2 (* x y)) (* y y)))
18.0ms	(* 2 (* x y))
45.0ms	(+ (* 2 (* x y)) (* y y))

simplify1.9s

Counts

53 → 53

Iterations

Useful iterations: 3 (349.0ms)

Iter	Nodes	Cost
0	73	592
1	194	528
2	771	439
3	3502	409
done	5001	409

prune114.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

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	8	12
1	11	12
done	11	12

end0.0ms

sample411.0ms

Algorithm

intervals

Results

198.0ms

14328×

body

valid