Details

sample48.0ms

Algorithm

intervals

Results

21.0ms

331×

body

valid

simplify934.0ms

Counts: 1 → 1

prune2.0ms

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) (- 1.0 z))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

39.0ms

(* (+ x y) (- 1.0 z))

series54.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* (+ x y) (- 1.0 z))

simplify420.0ms

Counts: 36 → 36

prune73.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
0.0b	(* (- z) (+ x y))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

26.0ms	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
39.0ms	(* (- z) (+ x y))

series125.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
59.0ms	(* (- z) (+ x y))

simplify908.0ms

Counts: 59 → 59

prune154.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

6×	`distribute-lft-neg-out` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add`
3×	`sum-log`
2×	`associate-+r-` `associate-+l+` `distribute-neg-out` `unsub-neg`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `distribute-rgt-out` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube` `distribute-lft-out`

Counts

1 → 24

Calls

1 calls:

47.0ms

(+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y)))

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(+ (* 1.0 (+ x y)) (+ (* (- z) x) (* (- z) y)))

simplify868.0ms

Counts: 27 → 27

prune84.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* z z) (* 1.0 z))
1.6b	(* (+ x y) (- (pow 1.0 3) (pow z 3)))
11.0b	(/ (* (+ x y) (- (pow 1.0 3) (pow z 3))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`associate-r`
19×	`*-un-lft-identity`
16×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3-+` `flip-+` `associate-/l/` `sqr-pow`
7×	`add-cube-cbrt`
6×	`flip3--` `flip--`
5×	`pow1` `distribute-lft-out--` `add-log-exp`
4×	`associate-r/` `associate-l` `associate-l/`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`difference-cubes` `+-commutative` `distribute-rgt-out` `frac-2neg` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 96

Calls

3 calls:

9.0ms	(+ (* z z) (* 1.0 z))
155.0ms	(* (+ x y) (- (pow 1.0 3) (pow z 3)))
90.0ms	(/ (* (+ x y) (- (pow 1.0 3) (pow z 3))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

series355.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (* z z) (* 1.0 z))
129.0ms	(* (+ x y) (- (pow 1.0 3) (pow z 3)))
163.0ms	(/ (* (+ x y) (- (pow 1.0 3) (pow z 3))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

simplify1.7s

Counts: 105 → 105

prune514.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes60.0ms

Accuracy

-22% (0.0b remaining)

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

bsearch0.0ms

simplify619.0ms

end0.0ms

sample896.0ms

Algorithm

intervals

Results

390.0ms	10126×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid