Details

sample37.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
10.0ms	256×	pre	80	true

simplify184.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

183.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize23.0ms

Local error

Found 1 expressions with local error:

16.9b

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

Slowest

20.0ms

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

series71.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

71.0ms

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

simplify4.3s

Counts

25 → 35

Calls

25 calls:

Slowest

562.0ms	(/ (* (* (* (- 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))))
546.0ms	(* (- (pow x 3) (pow y 3)) (- (* y y) (* x x)))
480.0ms	(/ (* (* (* (- 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))))
451.0ms	(* (- (* x x) (* y y)) (+ y x))
411.0ms	(* (- (pow x 3) (pow y 3)) (+ y x))

prune313.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize49.0ms

Local error

Found 3 expressions with local error:

16.9b	(/ (* (- x y) (+ y x)) (fma x x (* y y)))
0.3b	(expm1 (/ (* (- x y) (+ y x)) (fma x x (* y y))))
0.0b	(log1p (expm1 (/ (* (- x y) (+ y x)) (fma x x (* y y)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

Slowest

34.0ms	(/ (* (- x y) (+ y x)) (fma x x (* y y)))
0.0ms	(expm1 (/ (* (- x y) (+ y x)) (fma x x (* y y))))
0.0ms	(log1p (expm1 (/ (* (- x y) (+ y x)) (fma x x (* y y)))))

series402.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

178.0ms	(log1p (expm1 (/ (* (- x y) (+ y x)) (fma x x (* y y)))))
121.0ms	(expm1 (/ (* (- x y) (+ y x)) (fma x x (* y y))))
103.0ms	(/ (* (- x y) (+ y x)) (fma x x (* y y)))

simplify4.3s

Counts

33 → 65

Calls

33 calls:

Slowest

598.0ms	(/ (* (* (* (- 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))))
508.0ms	(* (- (pow x 3) (pow y 3)) (- (* y y) (* x x)))
447.0ms	(/ (* (* (* (- 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))))
430.0ms	(* (- (* x x) (* y y)) (+ y x))
403.0ms	(* (- (* x x) (* y y)) (- (* y y) (* x x)))

prune740.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize1.0ms

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

prune3.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.3b

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

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.3b

regimes98.0ms

Accuracy

76.6% (4.6b remaining)

Error of 5.1b against oracle of 0.5b and baseline of 20.2b

bsearch151.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
745.0ms	8000×	pre	80	true