Details

sample162.0ms

Algorithm

intervals

Results

114.0ms

522×

body

valid

simplify1.7s

Counts: 1 → 1

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize60.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (* (* x 18.0) y) z)
2.4b	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
0.6b	(fma k (* 27.0 j) (* (* x 4.0) i))
0.2b	(* (* x 18.0) y)

rewrite65.0ms

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

50.0ms	(* (* (* 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))

series4.0s

Counts

4 → 12

Calls

4 calls:

Slowest

3.8s	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
84.0ms	(fma k (* 27.0 j) (* (* x 4.0) i))
50.0ms	(* (* (* x 18.0) y) z)
38.0ms	(* (* x 18.0) y)

simplify1.7s

Counts: 79 → 79

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.5b

localize45.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (* 18.0 (* x y)) z)
2.4b	(fma (- (* (* 18.0 (* x y)) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
0.6b	(fma k (* 27.0 j) (* (* x 4.0) i))
0.2b	(* 18.0 (* x y))

rewrite85.0ms

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

62.0ms	(* (* 18.0 (* x y)) z)
22.0ms	(* 18.0 (* x y))
0.0ms	(fma (- (* (* 18.0 (* x 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))

series3.9s

Counts

4 → 12

Calls

4 calls:

Slowest

3.7s	(fma (- (* (* 18.0 (* x y)) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
91.0ms	(fma k (* 27.0 j) (* (* x 4.0) i))
50.0ms	(* (* 18.0 (* x y)) z)
48.0ms	(* 18.0 (* x y))

simplify1.8s

Counts: 79 → 79

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.5b

localize49.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (* x y) z)
2.4b	(fma (- (* 18.0 (* (* x y) z)) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
0.6b	(fma k (* 27.0 j) (* (* x 4.0) i))
0.3b	(* 18.0 (* (* x y) z))

rewrite505.0ms

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

59.0ms	(* 18.0 (* (* x y) z))
17.0ms	(* (* x y) z)
0.0ms	(fma (- (* 18.0 (* (* x 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))

series3.9s

Counts

4 → 12

Calls

4 calls:

Slowest

3.8s	(fma (- (* 18.0 (* (* x y) z)) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
86.0ms	(fma k (* 27.0 j) (* (* x 4.0) i))
39.0ms	(* 18.0 (* (* x y) z))
36.0ms	(* (* x y) z)

simplify1.9s

Counts: 79 → 79

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.5b

localize76.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (* (sqrt 18.0) (* (sqrt 18.0) (* x y))) z)
2.4b	(fma (- (* (* (sqrt 18.0) (* (sqrt 18.0) (* x y))) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
0.6b	(fma k (* 27.0 j) (* (* x 4.0) i))
0.5b	(* (sqrt 18.0) (* x y))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

Slowest

216.0ms	(* (* (sqrt 18.0) (* (sqrt 18.0) (* x y))) z)
31.0ms	(* (sqrt 18.0) (* x y))
0.0ms	(fma (- (* (* (sqrt 18.0) (* (sqrt 18.0) (* x 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))

series4.6s

Counts

4 → 12

Calls

4 calls:

Slowest

4.3s	(fma (- (* (* (sqrt 18.0) (* (sqrt 18.0) (* x y))) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
145.0ms	(* (* (sqrt 18.0) (* (sqrt 18.0) (* x y))) z)
90.0ms	(fma k (* 27.0 j) (* (* x 4.0) i))
73.0ms	(* (sqrt 18.0) (* x y))

simplify3.1s

Counts: 85 → 85

prune2.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.5b

regimes1.5s

Accuracy

0% (2.9b remaining)

Error of 5.1b against oracle of 2.2b and baseline of 5.1b

bsearch5.0ms

end0.0ms

sample6.4s

Algorithm

intervals

Results

5.0s

16262×

body

valid