Details

sample39.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
9.0ms	256×	pre	80	true

simplify303.0ms

Calls

1 calls:

Slowest

303.0ms

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.1b

localize35.0ms

Local error

Found 1 expressions with local error:

22.1b

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
6×	`add-cbrt-cube` `add-exp-log`
4×	`frac-times` `flip3-+` `flip-+`
3×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `flip3--` `add-cube-cbrt` `flip--`
2×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `associate-/r/`
1×	`pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`

Calls

1 calls:

Slowest

20.0ms

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series110.0ms

Calls

1 calls:

Slowest

110.0ms

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify3.4s

Calls

27 calls:

Slowest

532.0ms	(/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
392.0ms	(/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
375.0ms	(* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3)))
278.0ms	(* (- x y) (+ (pow x 3) (pow y 3)))
260.0ms	(* (- (pow x 3) (pow y 3)) (+ x y))

prune242.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize5.0ms

Local error

Found 2 expressions with local error:

21.1b	(/ (+ x y) (+ (* x x) (* y y)))
0.2b	(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
15×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `associate-/r/`
3×	`associate-/r` `flip3-+` `associate-l` `flip-+` `associate-/l`
2×	`frac-times` `cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Calls

2 calls:

Slowest

11.0ms	(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
6.0ms	(/ (+ x y) (+ (* x x) (* y y)))

series185.0ms

Calls

2 calls:

Slowest

110.0ms	(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
75.0ms	(/ (+ x y) (+ (* x x) (* y y)))

simplify3.5s

Calls

64 calls:

Slowest

355.0ms	(* (* (* (- x y) (- x y)) (- x y)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))
285.0ms	(* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (* y y)))
278.0ms	(* (- (pow x 3) (pow y 3)) (/ (+ x y) (+ (* x x) (* y y))))
267.0ms	(+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
266.0ms	(* (- (pow x 3) (pow y 3)) (+ x y))

prune668.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize0.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Calls

0 calls:

Slowest

series0.0ms

Calls

0 calls:

Slowest

simplify0.0ms

Calls

0 calls:

Slowest

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.4b

localize0.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Calls

0 calls:

Slowest

series0.0ms

Calls

0 calls:

Slowest

simplify0.0ms

Calls

0 calls:

Slowest

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.4b

regimes180.0ms

Accuracy

76% (4.8b remaining)

Error of 5.3b against oracle of 0.5b and baseline of 20.4b

bsearch89.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

803.0ms	8000×	body	80	valid
400.0ms	8000×	pre	80	true