Details

sample165.0ms

Algorithm

intervals

Results

121.0ms

518×

body

valid

simplify1.7s

Counts: 1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize78.0ms

Local error

Found 4 expressions with local error:

4.1b	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
4.0b	(* (* (* x 18.0) y) z)
0.2b	(* (* x 18.0) y)
0.1b	(fma k (* 27.0 j) (* (* x 4.0) i))

rewrite84.0ms

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

68.0ms	(* (* (* x 18.0) y) z)
14.0ms	(* (* 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))

series3.7s

Counts

4 → 12

Calls

4 calls:

Slowest

3.6s	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
63.0ms	(fma k (* 27.0 j) (* (* x 4.0) i))
31.0ms	(* (* (* x 18.0) y) z)
23.0ms	(* (* x 18.0) y)

simplify1.6s

Counts: 79 → 79

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.3b

localize65.0ms

Local error

Found 4 expressions with local error:

4.1b	(fma (- (* (* 18.0 (* x y)) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
4.0b	(* (* 18.0 (* x y)) z)
0.2b	(* 18.0 (* x y))
0.1b	(fma k (* 27.0 j) (* (* x 4.0) i))

rewrite71.0ms

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

49.0ms	(* (* 18.0 (* x y)) z)
20.0ms	(* 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))

series3.4s

Counts

4 → 12

Calls

4 calls:

Slowest

3.3s	(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))
47.0ms	(* (* 18.0 (* x y)) z)
24.0ms	(* 18.0 (* x y))

simplify1.6s

Counts: 79 → 79

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.3b

localize60.0ms

Local error

Found 4 expressions with local error:

12.9b	(cbrt (* (* x 18.0) y))
12.9b	(cbrt (* (* x 18.0) y))
12.9b	(cbrt (* (* x 18.0) y))
4.1b	(fma (- (* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
1×	`fma-udef`

Counts

4 → 47

Calls

4 calls:

Slowest

16.0ms	(cbrt (* (* x 18.0) y))
10.0ms	(cbrt (* (* x 18.0) y))
10.0ms	(cbrt (* (* x 18.0) y))
0.0ms	(fma (- (* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))

series4.0s

Counts

4 → 12

Calls

4 calls:

Slowest

3.6s	(fma (- (* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z) (* a 4.0)) t (- (* c b) (fma k (* 27.0 j) (* (* x 4.0) i))))
114.0ms	(cbrt (* (* x 18.0) y))
111.0ms	(cbrt (* (* x 18.0) y))
107.0ms	(cbrt (* (* x 18.0) y))

simplify1.8s

Counts: 59 → 59

prune1.7s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.3b

localize89.0ms

Local error

Found 4 expressions with local error:

4.1b	(fma (- (* (* 18.0 (* x y)) z) (* a 4.0)) t (- (* c b) (* (* (cbrt (fma k (* 27.0 j) (* (* x 4.0) i))) (cbrt (fma k (* 27.0 j) (* (* x 4.0) i)))) (cbrt (fma k (* 27.0 j) (* (* x 4.0) i))))))
4.0b	(* (* 18.0 (* x y)) z)
1.6b	(cbrt (fma k (* 27.0 j) (* (* x 4.0) i)))
1.6b	(cbrt (fma k (* 27.0 j) (* (* x 4.0) i)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

Slowest

62.0ms	(* (* 18.0 (* x y)) z)
1.0ms	(cbrt (fma k (* 27.0 j) (* (* x 4.0) i)))
1.0ms	(cbrt (fma k (* 27.0 j) (* (* x 4.0) i)))
0.0ms	(fma (- (* (* 18.0 (* x y)) z) (* a 4.0)) t (- (* c b) (* (* (cbrt (fma k (* 27.0 j) (* (* x 4.0) i))) (cbrt (fma k (* 27.0 j) (* (* x 4.0) i)))) (cbrt (fma k (* 27.0 j) (* (* x 4.0) i))))))

series4.0s

Counts

4 → 12

Calls

4 calls:

Slowest

3.5s	(fma (- (* (* 18.0 (* x y)) z) (* a 4.0)) t (- (* c b) (* (* (cbrt (fma k (* 27.0 j) (* (* x 4.0) i))) (cbrt (fma k (* 27.0 j) (* (* x 4.0) i)))) (cbrt (fma k (* 27.0 j) (* (* x 4.0) i))))))
248.0ms	(cbrt (fma k (* 27.0 j) (* (* x 4.0) i)))
204.0ms	(cbrt (fma k (* 27.0 j) (* (* x 4.0) i)))
74.0ms	(* (* 18.0 (* x y)) z)

simplify2.1s

Counts: 75 → 75

prune2.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.3b

regimes2.2s

Accuracy

30.4% (2.4b remaining)

Error of 4.5b against oracle of 2.1b and baseline of 5.5b

bsearch536.0ms

end0.0ms

sample5.8s

Algorithm

intervals

Results

4.3s

16162×

body

valid