Details

sample34.0ms

Algorithm

intervals

Results

17.0ms

450×

body

valid

simplify31.0ms

Counts: 1 → 1

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 2.0) (* x x))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

11.0ms	(+ (* x 2.0) (* x x))
40.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

series120.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(+ (* x 2.0) (* x x))
48.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

simplify1.6s

Counts: 31 → 31

prune81.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(+ (* x 2.0) (+ (* x x) (* y y)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+r+`

Counts

2 → 24

Calls

2 calls:

13.0ms	(+ (* x x) (* y y))
28.0ms	(+ (* x 2.0) (+ (* x x) (* y y)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* x x) (* y y))
35.0ms	(+ (* x 2.0) (+ (* x x) (* y y)))

simplify1.4s

Counts: 30 → 30

prune62.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x 2.0) (+ (* x x) (* y y)))) (cbrt (+ (* x 2.0) (+ (* x x) (* y y)))))
0.6b	(cbrt (+ (* x 2.0) (+ (* x x) (* y y))))
0.6b	(cbrt (+ (* x 2.0) (+ (* x x) (* y y))))
0.6b	(cbrt (+ (* x 2.0) (+ (* x x) (* y y))))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

169.0ms	(* (cbrt (+ (* x 2.0) (+ (* x x) (* y y)))) (cbrt (+ (* x 2.0) (+ (* x x) (* y y)))))
20.0ms	(cbrt (+ (* x 2.0) (+ (* x x) (* y y))))
29.0ms	(cbrt (+ (* x 2.0) (+ (* x x) (* y y))))
15.0ms	(cbrt (+ (* x 2.0) (+ (* x x) (* y y))))

series1.7s

Counts

4 → 12

Calls

4 calls:

360.0ms	(* (cbrt (+ (* x 2.0) (+ (* x x) (* y y)))) (cbrt (+ (* x 2.0) (+ (* x x) (* y y)))))
615.0ms	(cbrt (+ (* x 2.0) (+ (* x x) (* y y))))
359.0ms	(cbrt (+ (* x 2.0) (+ (* x x) (* y y))))
347.0ms	(cbrt (+ (* x 2.0) (+ (* x x) (* y y))))

simplify1.7s

Counts: 99 → 99

prune320.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 2.0) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))
0.1b	(* (- (pow y 3)) y)
2.1b	(+ (* (- (pow y 3)) y) (pow x 4))
31.6b	(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-l`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `unpow-prod-down` `cube-prod`
4×	`associate-/r*` `difference-of-squares`
3×	`flip3-+` `associate-r` `flip-+` `associate-/l*`
2×	`+-commutative` `cube-mult` `unpow3` `sum-log` `associate-/r/` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `distribute-lft-neg-out` `neg-mul-1` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

87.0ms	(+ (* x 2.0) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))
35.0ms	(* (- (pow y 3)) y)
22.0ms	(+ (* (- (pow y 3)) y) (pow x 4))
63.0ms	(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (* x 2.0) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))
50.0ms	(* (- (pow y 3)) y)
57.0ms	(+ (* (- (pow y 3)) y) (pow x 4))
93.0ms	(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

simplify1.3s

Counts: 113 → 113

prune442.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes58.0ms

Accuracy

-20.4% (0.0b remaining)

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

bsearch0.0ms

simplify23.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

734.0ms

14225×

body

valid