Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

484×

body

valid

simplify91.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite70.0ms

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` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

67.0ms

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

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify473.0ms

Counts: 43 → 43

prune60.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

28.0ms	(* x (+ x y))
32.0ms	(* y (+ x y))
22.0ms	(+ (* x (+ x y)) (* y (+ x y)))

series90.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* x (+ x y))
28.0ms	(* y (+ x y))
32.0ms	(+ (* x (+ x y)) (* y (+ x y)))

simplify944.0ms

Counts: 75 → 75

prune157.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

10.0ms	(+ (* x x) (* y (+ x (+ x y))))
58.0ms	(* y (+ x (+ x y)))
27.0ms	(+ x (+ x y))

series101.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (* x x) (* y (+ x (+ x y))))
46.0ms	(* y (+ x (+ x y)))
24.0ms	(+ x (+ x y))

simplify588.0ms

Counts: 61 → 61

prune138.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

45.0ms	(+ (* x x) (* y (+ (+ x x) y)))
128.0ms	(* y (+ (+ x x) y))

series97.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* x x) (* y (+ (+ x x) y)))
60.0ms	(* y (+ (+ x x) y))

simplify620.0ms

Counts: 43 → 43

prune92.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

-98.9% (0.0b remaining)

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

bsearch0.0ms

simplify94.0ms

end0.0ms

sample855.0ms

Algorithm

intervals

Results

373.0ms

14295×

body

valid