Details

sample222.0ms

Algorithm

intervals

Results

156.0ms

482×

body

valid

simplify1.6s

Counts: 1 → 1

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.1b

localize49.0ms

Local error

Found 4 expressions with local error:

5.0b	(* (* (* 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))))
0.4b	(fma k (* 27.0 j) (* (* x 4.0) i))
0.2b	(* (* x 18.0) y)

rewrite102.0ms

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

81.0ms	(* (* (* x 18.0) y) z)
19.0ms	(* (* 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))

series3.8s

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))))
80.0ms	(fma k (* 27.0 j) (* (* x 4.0) i))
49.0ms	(* (* (* x 18.0) y) z)
23.0ms	(* (* x 18.0) y)

simplify1.7s

Counts: 79 → 79

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.2b

localize40.0ms

Local error

Found 4 expressions with local error:

5.0b	(* (* (* x 18.0) y) z)
3.4b	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (+ (* k (* 27.0 j)) (* (* x 4.0) i))))
0.4b	(* k (* 27.0 j))
0.2b	(* (* x 18.0) y)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

Slowest

69.0ms	(* (* (* x 18.0) y) z)
23.0ms	(* k (* 27.0 j))
16.0ms	(* (* x 18.0) y)
0.0ms	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (+ (* k (* 27.0 j)) (* (* x 4.0) i))))

series4.0s

Counts

4 → 12

Calls

4 calls:

Slowest

3.6s	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (+ (* k (* 27.0 j)) (* (* x 4.0) i))))
355.0ms	(* k (* 27.0 j))
37.0ms	(* (* x 18.0) y)
31.0ms	(* (* (* x 18.0) y) z)

simplify1.9s

Counts: 89 → 89

prune1.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.0b

localize67.0ms

Local error

Found 4 expressions with local error:

5.0b	(* (* (* x 18.0) y) z)
3.4b	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (+ (* 27.0 (* j k)) (* (* x 4.0) i))))
0.3b	(* 27.0 (* j k))
0.2b	(* (* x 18.0) y)

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

Slowest

84.0ms	(* (* (* x 18.0) y) z)
25.0ms	(* (* x 18.0) y)
21.0ms	(* 27.0 (* j k))
0.0ms	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (+ (* 27.0 (* j k)) (* (* 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) (+ (* 27.0 (* j k)) (* (* x 4.0) i))))
47.0ms	(* (* (* x 18.0) y) z)
29.0ms	(* 27.0 (* j k))
23.0ms	(* (* x 18.0) y)

simplify2.3s

Counts: 89 → 89

prune2.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 1.9b

localize58.0ms

Local error

Found 4 expressions with local error:

5.0b	(* (* (* x 18.0) y) z)
3.4b	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (+ (* (sqrt 27.0) (* (sqrt 27.0) (* j k))) (* (* x 4.0) i))))
0.3b	(* (sqrt 27.0) (* j k))
0.2b	(* (sqrt 27.0) (* (sqrt 27.0) (* j k)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

Slowest

86.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* j k)))
76.0ms	(* (* (* x 18.0) y) z)
30.0ms	(* (sqrt 27.0) (* j k))
0.0ms	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (+ (* (sqrt 27.0) (* (sqrt 27.0) (* j k))) (* (* x 4.0) i))))

series4.2s

Counts

4 → 12

Calls

4 calls:

Slowest

4.0s	(fma (- (* (* (* x 18.0) y) z) (* a 4.0)) t (- (* c b) (+ (* (sqrt 27.0) (* (sqrt 27.0) (* j k))) (* (* x 4.0) i))))
127.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* j k)))
61.0ms	(* (sqrt 27.0) (* j k))
55.0ms	(* (* (* x 18.0) y) z)

simplify2.3s

Counts: 98 → 98

prune1.9s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 1.9b

regimes2.2s

Accuracy

29.2% (2.2b remaining)

Error of 4.1b against oracle of 2.0b and baseline of 5.0b

bsearch321.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

3.2s

16007×

body

valid