Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

426×

body

valid

simplify95.0ms

Counts: 1 → 1

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite56.0ms

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:

54.0ms

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

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

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

simplify458.0ms

Counts: 43 → 43

prune54.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.8b	(pow (cbrt (+ x y)) 4)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

5.0ms	(cbrt (+ x y))
6.0ms	(cbrt (+ x y))
6.0ms	(cbrt (+ x y))
13.0ms	(pow (cbrt (+ x y)) 4)

series904.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt (+ x y))
199.0ms	(cbrt (+ x y))
202.0ms	(cbrt (+ x y))
310.0ms	(pow (cbrt (+ x y)) 4)

simplify814.0ms

Counts: 76 → 76

prune219.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y y) (* x y))
0.1b	(* (+ x y) (+ (pow x 3) (pow y 3)))
0.4b	(+ (pow x 3) (pow y 3))
34.2b	(/ (* (+ x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
14×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
10×	`add-sqr-sqrt`
9×	`associate-r`
8×	`frac-times` `add-cube-cbrt` `unpow-prod-down` `cube-prod` `associate-/l/` `add-log-exp`
6×	`pow1`
4×	`associate-r/` `associate-l` `associate-l/`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `sum-cubes` `cbrt-unprod`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

12.0ms	(- (* y y) (* x y))
108.0ms	(* (+ x y) (+ (pow x 3) (pow y 3)))
21.0ms	(+ (pow x 3) (pow y 3))
71.0ms	(/ (* (+ x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

series233.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* y y) (* x y))
55.0ms	(* (+ x y) (+ (pow x 3) (pow y 3)))
63.0ms	(+ (pow x 3) (pow y 3))
78.0ms	(/ (* (+ x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

simplify1.4s

Counts: 108 → 108

prune440.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

61.0ms	(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))
22.0ms	(+ (pow y 2) (* 2 (* x y)))
33.0ms	(* 2 (* x y))

series129.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))
60.0ms	(+ (pow y 2) (* 2 (* x y)))
32.0ms	(* 2 (* x y))

simplify649.0ms

Counts: 52 → 52

prune184.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify91.0ms

end0.0ms

sample983.0ms

Algorithm

intervals

Results

421.0ms

14125×

body

valid