Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify1.0ms

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 500.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

10.0ms

(+ x (/ y 500.0))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(+ x (/ y 500.0))

simplify94.0ms

Counts: 15 → 15

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (* 0.002 y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

6.0ms

(+ x (* 0.002 y))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(+ x (* 0.002 y))

simplify130.0ms

Counts: 14 → 14

prune31.0ms

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 (/ y 500.0))
0.2b	(* (/ y 500.0) (/ y 500.0))
3.5b	(- (* x x) (* (/ y 500.0) (/ y 500.0)))
31.6b	(/ (- (* x x) (* (/ y 500.0) (/ y 500.0))) (- x (/ y 500.0)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
70×	`times-frac`
56×	`*-un-lft-identity`
44×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`add-exp-log` `add-cbrt-cube`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
8×	`add-log-exp`
6×	`associate-/r*` `distribute-lft-out--`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`pow2` `frac-times` `frac-2neg` `pow-plus` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 146

Calls

4 calls:

17.0ms	(- x (/ y 500.0))
31.0ms	(* (/ y 500.0) (/ y 500.0))
8.0ms	(- (* x x) (* (/ y 500.0) (/ y 500.0)))
56.0ms	(/ (- (* x x) (* (/ y 500.0) (/ y 500.0))) (- x (/ y 500.0)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- x (/ y 500.0))
31.0ms	(* (/ y 500.0) (/ y 500.0))
66.0ms	(- (* x x) (* (/ y 500.0) (/ y 500.0)))
101.0ms	(/ (- (* x x) (* (/ y 500.0) (/ y 500.0))) (- x (/ y 500.0)))

simplify81.0ms

Counts: 158 → 158

prune342.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x x) (- x (/ y 500.0))) (/ (* (/ y 500.0) (/ y 500.0)) (- x (/ y 500.0))))
0.2b	(* (/ y 500.0) (/ y 500.0))
19.2b	(/ (* x x) (- x (/ y 500.0)))
19.5b	(/ (* (/ y 500.0) (/ y 500.0)) (- x (/ y 500.0)))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
60×	`times-frac`
46×	`*-un-lft-identity`
39×	`add-exp-log` `add-cbrt-cube`
36×	`add-cube-cbrt`
15×	`cbrt-undiv` `div-exp`
13×	`swap-sqr` `associate-r` `associate-l`
12×	`associate-/r*` `difference-of-squares`
11×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`associate-/r/` `div-inv`
6×	`add-log-exp`
5×	`flip3--` `flip--` `distribute-lft-out--`
4×	`unswap-sqr`
3×	`distribute-rgt-out--` `associate-/l/`
2×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/l*`
1×	`pow2` `sub-neg` `pow-plus` `diff-log` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `frac-sub` `sub-div`

Counts

4 → 156

Calls

4 calls:

141.0ms	(- (/ (* x x) (- x (/ y 500.0))) (/ (* (/ y 500.0) (/ y 500.0)) (- x (/ y 500.0))))
47.0ms	(* (/ y 500.0) (/ y 500.0))
46.0ms	(/ (* x x) (- x (/ y 500.0)))
60.0ms	(/ (* (/ y 500.0) (/ y 500.0)) (- x (/ y 500.0)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(- (/ (* x x) (- x (/ y 500.0))) (/ (* (/ y 500.0) (/ y 500.0)) (- x (/ y 500.0))))
51.0ms	(* (/ y 500.0) (/ y 500.0))
79.0ms	(/ (* x x) (- x (/ y 500.0)))
67.0ms	(/ (* (/ y 500.0) (/ y 500.0)) (- x (/ y 500.0)))

simplify95.0ms

Counts: 168 → 168

prune417.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample461.0ms

Algorithm

intervals

Results

203.0ms

8000×

body

valid