Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

335×

body

valid

simplify240.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

30.0ms	(+ (* (- 1.0 x) y) (* x z))
23.0ms	(* (- 1.0 x) y)

series101.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (* (- 1.0 x) y) (* x z))
47.0ms	(* (- 1.0 x) y)

simplify1.7s

Counts: 39 → 39

prune121.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
5.9b	(* (- (* 1.0 1.0) (* x x)) y)
7.1b	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `frac-2neg` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

76.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
39.0ms	(* (- (* 1.0 1.0) (* x x)) y)
31.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

series229.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
65.0ms	(* (- (* 1.0 1.0) (* x x)) y)
88.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

simplify800.0ms

Counts: 68 → 68

prune203.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

10.0ms	(- y (* x y))
27.0ms	(+ (* 1.0 (- y (* x y))) (* x z))

series132.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- y (* x y))
76.0ms	(+ (* 1.0 (- y (* x y))) (* x z))

simplify1.2s

Counts: 34 → 34

prune77.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x z) (* x z))
1.6b	(+ (* (* 1.0 (- y (* x y))) (- (* 1.0 (- y (* x y))) (* x z))) (* (* x z) (* x z)))
2.9b	(+ (pow (* 1.0 (- y (* x y))) 3) (pow (* x z) 3))
37.5b	(/ (+ (pow (* 1.0 (- y (* x y))) 3) (pow (* x z) 3)) (+ (* (* 1.0 (- y (* x y))) (- (* 1.0 (- y (* x y))) (* x z))) (* (* x z) (* x z))))

rewrite377.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
24×	`*-un-lft-identity`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
15×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`associate-+l+`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`prod-exp` `associate--l+` `cbrt-unprod` `add-log-exp`
6×	`sub-neg`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`flip3-+` `pow-sqr` `pow-prod-up` `flip-+`
3×	`associate-/r*`
2×	`+-commutative` `pow-plus` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 109

Calls

4 calls:

54.0ms	(* (* x z) (* x z))
110.0ms	(+ (* (* 1.0 (- y (* x y))) (- (* 1.0 (- y (* x y))) (* x z))) (* (* x z) (* x z)))
18.0ms	(+ (pow (* 1.0 (- y (* x y))) 3) (pow (* x z) 3))
188.0ms	(/ (+ (pow (* 1.0 (- y (* x y))) 3) (pow (* x z) 3)) (+ (* (* 1.0 (- y (* x y))) (- (* 1.0 (- y (* x y))) (* x z))) (* (* x z) (* x z))))

series1.0s

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* x z) (* x z))
169.0ms	(+ (* (* 1.0 (- y (* x y))) (- (* 1.0 (- y (* x y))) (* x z))) (* (* x z) (* x z)))
323.0ms	(+ (pow (* 1.0 (- y (* x y))) 3) (pow (* x z) 3))
499.0ms	(/ (+ (pow (* 1.0 (- y (* x y))) 3) (pow (* x z) 3)) (+ (* (* 1.0 (- y (* x y))) (- (* 1.0 (- y (* x y))) (* x z))) (* (* x z) (* x z))))

simplify1.9s

Counts: 121 → 121

prune399.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.3s

end0.0ms

sample851.0ms

Algorithm

intervals

Results

425.0ms

10078×

body

valid