Details

sample33.0ms

Algorithm

intervals

Results

16.0ms

470×

body

valid

simplify60.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (18.0ms)

Iter	Nodes	Cost
0	7	15
1	14	14
2	29	11
3	51	8
4	71	8
5	79	8
done	79	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (* 3 (* y y)))
0.2b	(* 3 (* y y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

0.0ms	(fma x x (* 3 (* y y)))
17.0ms	(* 3 (* y y))

series77.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(fma x x (* 3 (* y y)))
32.0ms	(* 3 (* y y))

simplify412.0ms

Counts

37 → 37

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	50	312
1	120	296
2	624	260
done	5001	260

prune72.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (* (* 3 y) y))
0.1b	(* (* 3 y) y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma x x (* (* 3 y) y))
29.0ms	(* (* 3 y) y)

series98.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(fma x x (* (* 3 y) y))
31.0ms	(* (* 3 y) y)

simplify619.0ms

Counts

36 → 36

Iterations

Useful iterations: done (617.0ms)

Iter	Nodes	Cost
0	52	307
1	123	293
2	775	257
done	5001	253

prune104.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 3 y) y)
0.3b	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
20.3b	(sqrt (* (* 3 y) y))
20.3b	(sqrt (* (* 3 y) y))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

28.0ms	(* (* 3 y) y)
160.0ms	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
22.0ms	(sqrt (* (* 3 y) y))
22.0ms	(sqrt (* (* 3 y) y))

series246.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* 3 y) y)
103.0ms	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
50.0ms	(sqrt (* (* 3 y) y))
54.0ms	(sqrt (* (* 3 y) y))

simplify1.1s

Counts

128 → 128

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	87	1171
1	221	813
2	1446	700
done	5000	686

prune218.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.3b	(* (cbrt 3) (* y y))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`add-cbrt-cube`
7×	`add-sqr-sqrt` `associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`cbrt-prod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`fma-udef`

Counts

3 → 65

Calls

3 calls:

0.0ms	(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
71.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
20.0ms	(* (cbrt 3) (* y y))

series263.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
94.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
53.0ms	(* (cbrt 3) (* y y))

simplify731.0ms

Counts

74 → 74

Iterations

Useful iterations: done (729.0ms)

Iter	Nodes	Cost
0	84	954
1	217	930
2	1035	629
done	5000	507

prune141.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
done	8	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

14209×

body

valid