Details

sample158.0ms

Algorithm

intervals

Results

109.0ms

487×

body

valid

simplify1.5s

Counts: 1 → 1

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize74.0ms

Local error

Found 4 expressions with local error:

5.8b	(* (* (* x 18.0) y) z)
2.9b	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
0.4b	(fma k (* 27.0 j) (* (* x 4.0) i))
0.2b	(* (* x 18.0) y)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-l` `*-commutative` `fma-udef`

Counts

4 → 67

Calls

4 calls:

Slowest

57.0ms	(* (* (* x 18.0) y) z)
14.0ms	(* (* x 18.0) y)
0.0ms	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
0.0ms	(fma k (* 27.0 j) (* (* x 4.0) i))

series4.3s

Counts

4 → 12

Calls

4 calls:

Slowest

4.2s	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
85.0ms	(fma k (* 27.0 j) (* (* x 4.0) i))
38.0ms	(* (* (* x 18.0) y) z)
34.0ms	(* (* x 18.0) y)

simplify1.9s

Counts: 79 → 79

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.9b

localize63.0ms

Local error

Found 4 expressions with local error:

4.4b	(* x (* z y))
2.9b	(fma (- (* 18.0 (* x (* z y))) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
0.4b	(fma k (* 27.0 j) (* (* x 4.0) i))
0.2b	(* 18.0 (* x (* z y)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative` `fma-udef`

Counts

4 → 67

Calls

4 calls:

Slowest

47.0ms	(* 18.0 (* x (* z y)))
27.0ms	(* x (* z y))
0.0ms	(fma (- (* 18.0 (* x (* z y))) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
0.0ms	(fma k (* 27.0 j) (* (* x 4.0) i))

series4.0s

Counts

4 → 12

Calls

4 calls:

Slowest

3.9s	(fma (- (* 18.0 (* x (* z y))) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
72.0ms	(fma k (* 27.0 j) (* (* x 4.0) i))
40.0ms	(* 18.0 (* x (* z y)))
39.0ms	(* x (* z y))

simplify1.6s

Counts: 79 → 79

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.7b

localize53.0ms

Local error

Found 4 expressions with local error:

4.4b	(* x (* z y))
2.9b	(fma (- (* 18.0 (* x (* z y))) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* 4.0 (* i x)))))
0.2b	(* 18.0 (* x (* z y)))
0.1b	(fma 27.0 (* k j) (* 4.0 (* i x)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative` `fma-udef`

Counts

4 → 67

Calls

4 calls:

Slowest

54.0ms	(* 18.0 (* x (* z y)))
22.0ms	(* x (* z y))
0.0ms	(fma 27.0 (* k j) (* 4.0 (* i x)))
0.0ms	(fma (- (* 18.0 (* x (* z y))) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* 4.0 (* i x)))))

series4.0s

Counts

4 → 12

Calls

4 calls:

Slowest

3.8s	(fma (- (* 18.0 (* x (* z y))) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* 4.0 (* i x)))))
82.0ms	(fma 27.0 (* k j) (* 4.0 (* i x)))
59.0ms	(* 18.0 (* x (* z y)))
50.0ms	(* x (* z y))

simplify1.7s

Counts: 79 → 79

prune1.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.7b

localize85.0ms

Local error

Found 4 expressions with local error:

4.3b	(* (* x z) y)
2.9b	(fma (- (* 18.0 (* (* x z) y)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* 4.0 (* i x)))))
0.2b	(* 18.0 (* (* x z) y))
0.1b	(fma 27.0 (* k j) (* 4.0 (* i x)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `fma-udef`

Counts

4 → 67

Calls

4 calls:

Slowest

63.0ms	(* 18.0 (* (* x z) y))
29.0ms	(* (* x z) y)
1.0ms	(fma 27.0 (* k j) (* 4.0 (* i x)))
0.0ms	(fma (- (* 18.0 (* (* x z) y)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* 4.0 (* i x)))))

series4.0s

Counts

4 → 12

Calls

4 calls:

Slowest

3.9s	(fma (- (* 18.0 (* (* x z) y)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* 4.0 (* i x)))))
75.0ms	(fma 27.0 (* k j) (* 4.0 (* i x)))
47.0ms	(* (* x z) y)
34.0ms	(* 18.0 (* (* x z) y))

simplify1.7s

Counts: 79 → 79

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.7b

regimes1.0s

Accuracy

32% (2.2b remaining)

Error of 4.3b against oracle of 2.1b and baseline of 5.3b

bsearch288.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

3.0s

16262×

body

valid