Details

sample188.0ms

Algorithm

intervals

Results

112.0ms

498×

body

valid

simplify1.4s

Counts: 1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize42.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* (* x 18.0) y) z)
3.4b	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
0.2b	(* (* x 18.0) y)
0.1b	(fma k (* 27.0 j) (* (* x 4.0) i))

rewrite60.0ms

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

43.0ms	(* (* (* x 18.0) y) z)
16.0ms	(* (* 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))))
82.0ms	(fma k (* 27.0 j) (* (* x 4.0) i))
30.0ms	(* (* (* x 18.0) y) z)
23.0ms	(* (* x 18.0) y)

simplify328.0ms

Counts: 77 → 79

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.7b

localize47.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* x (* 18.0 y)) z)
3.4b	(fma (- (* (* x (* 18.0 y)) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
0.2b	(* x (* 18.0 y))
0.1b	(fma k (* 27.0 j) (* (* x 4.0) i))

rewrite59.0ms

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

35.0ms	(* (* x (* 18.0 y)) z)
22.0ms	(* 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))

series4.5s

Counts

4 → 12

Calls

4 calls:

Slowest

4.3s	(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))
53.0ms	(* x (* 18.0 y))
51.0ms	(* (* x (* 18.0 y)) z)

simplify363.0ms

Counts: 77 → 79

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.7b

localize111.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* (* x 18.0) y) z)
5.1b	(* (* (* x 18.0) y) z)
5.1b	(* (* (* x 18.0) y) z)
3.4b	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

Slowest

83.0ms	(* (* (* x 18.0) y) z)
82.0ms	(* (* (* x 18.0) y) z)
68.0ms	(* (* (* x 18.0) y) z)
0.0ms	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))

series3.9s

Counts

4 → 12

Calls

4 calls:

Slowest

3.7s	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
51.0ms	(* (* (* x 18.0) y) z)
48.0ms	(* (* (* x 18.0) y) z)
30.0ms	(* (* (* x 18.0) y) z)

simplify354.0ms

Counts: 92 → 95

prune2.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.7b

localize80.0ms

Local error

Found 4 expressions with local error:

4.7b	(* (* x 18.0) (* y z))
3.4b	(fma (- (* (* x 18.0) (* y z)) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
0.1b	(fma k (* 27.0 j) (* (* x 4.0) i))
0.0b	(- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`prod-diff` `fma-udef`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r` `associate-l` `*-commutative` `flip--` `associate--r+`

Counts

4 → 67

Calls

4 calls:

Slowest

46.0ms	(* (* x 18.0) (* y z))
8.0ms	(- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i)))
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))

series4.1s

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))))
124.0ms	(- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i)))
74.0ms	(fma k (* 27.0 j) (* (* x 4.0) i))
44.0ms	(* (* x 18.0) (* y z))

simplify402.0ms

Counts: 83 → 79

prune1.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.7b

regimes2.1s

Accuracy

31.4% (2.9b remaining)

Error of 5.1b against oracle of 2.2b and baseline of 6.4b

bsearch478.0ms

end0.0ms

sample5.3s

Algorithm

intervals

Results

3.8s

16143×

body

valid