Details

sample190.0ms

Algorithm

intervals

Results

114.0ms

543×

body

valid

simplify1.6s

Counts: 1 → 1

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.7b

localize56.0ms

Local error

Found 4 expressions with local error:

5.4b	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
4.9b	(* (* (* x 18.0) y) z)
0.2b	(* (* x 18.0) y)
0.1b	(fma k (* 27.0 j) (* (* x 4.0) i))

rewrite94.0ms

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

74.0ms	(* (* (* x 18.0) y) z)
18.0ms	(* (* x 18.0) y)
1.0ms	(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))

series4.1s

Counts

4 → 12

Calls

4 calls:

Slowest

3.9s	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
66.0ms	(fma k (* 27.0 j) (* (* x 4.0) i))
52.0ms	(* (* (* x 18.0) y) z)
24.0ms	(* (* x 18.0) y)

simplify1.9s

Counts: 79 → 79

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.3b

localize68.0ms

Local error

Found 4 expressions with local error:

5.4b	(fma (- (* (* x (* 18.0 y)) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
4.9b	(* (* x (* 18.0 y)) z)
0.2b	(* x (* 18.0 y))
0.1b	(fma k (* 27.0 j) (* (* x 4.0) i))

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

68.0ms	(* (* x (* 18.0 y)) z)
15.0ms	(* 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))

series3.6s

Counts

4 → 12

Calls

4 calls:

Slowest

3.5s	(fma (- (* (* x (* 18.0 y)) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
65.0ms	(fma k (* 27.0 j) (* (* x 4.0) i))
31.0ms	(* (* x (* 18.0 y)) z)
25.0ms	(* x (* 18.0 y))

simplify1.9s

Counts: 79 → 79

prune1.9s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.3b

localize66.0ms

Local error

Found 4 expressions with local error:

5.4b	(fma (- (* (* 18.0 (* x y)) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
4.9b	(* (* 18.0 (* x y)) z)
0.2b	(* 18.0 (* x y))
0.1b	(fma k (* 27.0 j) (* (* x 4.0) i))

rewrite89.0ms

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 y)) z)
24.0ms	(* 18.0 (* x y))
1.0ms	(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))))
79.0ms	(fma k (* 27.0 j) (* (* x 4.0) i))
48.0ms	(* (* 18.0 (* x y)) z)
24.0ms	(* 18.0 (* x y))

simplify1.7s

Counts: 79 → 79

prune1.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.3b

localize68.0ms

Local error

Found 4 expressions with local error:

5.4b	(fma (- (* 18.0 (* (* x y) z)) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
4.9b	(* (* x y) z)
0.2b	(* 18.0 (* (* x y) z))
0.1b	(fma k (* 27.0 j) (* (* x 4.0) i))

rewrite88.0ms

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

53.0ms	(* 18.0 (* (* x y) z))
32.0ms	(* (* x y) z)
1.0ms	(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))

series4.2s

Counts

4 → 12

Calls

4 calls:

Slowest

4.0s	(fma (- (* 18.0 (* (* x y) z)) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
90.0ms	(fma k (* 27.0 j) (* (* x 4.0) i))
54.0ms	(* (* x y) z)
46.0ms	(* 18.0 (* (* x y) z))

simplify1.9s

Counts: 79 → 79

prune1.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.3b

regimes1.5s

Accuracy

28% (2.2b remaining)

Error of 4.5b against oracle of 2.3b and baseline of 5.3b

bsearch412.0ms

end0.0ms

sample5.7s

Algorithm

intervals

Results

4.2s

16145×

body

valid