Details

sample59.0ms

Algorithm

intervals

Results

32.0ms	256×	body	80	valid
14.0ms	256×	pre	80	true

simplify180.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

180.0ms

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize35.0ms

Local error

Found 2 expressions with local error:

17.4b	(/ (* (- x y) (+ y x)) (fma x x (* y y)))
0.0b	(fma x x (* y y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
7×	`add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `frac-times` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-/r*` `flip3-+` `times-frac` `flip3--` `flip-+` `flip--`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv` `associate-/l*`

Counts

2 → 43

Calls

2 calls:

Slowest

35.0ms	(/ (* (- x y) (+ y x)) (fma x x (* y y)))
0.0ms	(fma x x (* y y))

series118.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

79.0ms	(/ (* (- x y) (+ y x)) (fma x x (* y y)))
38.0ms	(fma x x (* y y))

simplify4.3s

Counts

28 → 49

Calls

28 calls:

Slowest

729.0ms	(/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ y x) (+ y x)) (+ y x))) (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y))))
539.0ms	(/ (* (* (* (- x y) (+ y x)) (* (- x y) (+ y x))) (* (- x y) (+ y x))) (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y))))
536.0ms	(* (- (pow x 3) (pow y 3)) (- (* y y) (* x x)))
408.0ms	(* (- (* x x) (* y y)) (+ y x))
347.0ms	(* (- (* x x) (* y y)) (- (* y y) (* x x)))

prune504.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize0.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

28.2b	(/ (* (- x y) (* (+ x y) (+ x y))) (* (fma x x (* y y)) (+ x y)))
0.1b	(* (fma x x (* y y)) (+ x y))
0.1b	(* (- x y) (* (+ x y) (+ x y)))
0.0b	(* (+ x y) (+ x y))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times`
44×	`flip3-+` `flip-+`
34×	`add-cbrt-cube` `associate-*r/` `add-exp-log`
29×	`*-un-lft-identity`
26×	`associate-/l/`
18×	`add-sqr-sqrt` `pow1` `flip3--` `associate-*l/` `flip--`
14×	`prod-exp` `cbrt-unprod`
12×	`associate-l`
11×	`add-cube-cbrt`
9×	`associate-r`
7×	`distribute-lft-out`
6×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `swap-sqr` `div-exp`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`associate-/r/`
1×	`pow2` `clear-num` `associate-/r` `frac-2neg` `times-frac` `pow-plus` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 179

Calls

4 calls:

Slowest

78.0ms	(/ (* (- x y) (* (+ x y) (+ x y))) (* (fma x x (* y y)) (+ x y)))
43.0ms	(* (- x y) (* (+ x y) (+ x y)))
41.0ms	(* (+ x y) (+ x y))
16.0ms	(* (fma x x (* y y)) (+ x y))

series271.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

119.0ms	(/ (* (- x y) (* (+ x y) (+ x y))) (* (fma x x (* y y)) (+ x y)))
74.0ms	(* (fma x x (* y y)) (+ x y))
60.0ms	(* (- x y) (* (+ x y) (+ x y)))
18.0ms	(* (+ x y) (+ x y))

simplify28.5s

Counts

171 → 191

Calls

171 calls:

Slowest

1.1s	(* (- (* x x) (* y y)) (* (+ x y) (- (* x x) (* y y))))
1.1s	(* (- x y) (* (- (* x x) (* y y)) (- (* x x) (* y y))))
730.0ms	(* (- (* x x) (* y y)) (* (+ x y) (- (* x x) (* y y))))
702.0ms	(* (- (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))))
654.0ms	(* (- (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))))

prune1.9s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize0.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes91.0ms

Accuracy

76.7% (4.4b remaining)

Error of 4.9b against oracle of 0.5b and baseline of 19.4b

bsearch135.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

892.0ms	8000×	body	80	valid
370.0ms	8000×	pre	80	true