Details

sample79.0ms

Algorithm

intervals

Results

32.0ms

515×

body

valid

simplify74.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	67	15
1	225	13
2	823	12
3	3028	12
4	5001	12
done	5001	12

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.7b	(* (* j 27.0) k)
4.6b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.7b	(* (* (* x 18.0) y) z)

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

18.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)
0.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
282.0ms	(* (* (* x 18.0) y) z)

series3.0s

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
20.0ms	(* (* j 27.0) k)
2.9s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
34.0ms	(* (* (* x 18.0) y) z)

simplify70.0ms

Counts

85 → 85

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	326	447
1	1657	364
2	5001	364
done	5001	364

prune368.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* j (* 27.0 k))
4.6b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
4.7b	(* (* (* x 18.0) y) z)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
17.0ms	(* j (* 27.0 k))
0.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
58.0ms	(* (* (* x 18.0) y) z)

series3.0s

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 18.0) y)
20.0ms	(* j (* 27.0 k))
2.9s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
31.0ms	(* (* (* x 18.0) y) z)

simplify68.0ms

Counts

85 → 85

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	318	446
1	1546	363
2	5002	363
done	5002	363

prune357.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.7b	(* (* j 27.0) k)
4.6b	(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.7b	(* (* x (* 18.0 y)) z)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

17.0ms	(* x (* 18.0 y))
19.0ms	(* (* j 27.0) k)
0.0ms	(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
50.0ms	(* (* x (* 18.0 y)) z)

series3.0s

Counts

4 → 12

Calls

4 calls:

23.0ms	(* x (* 18.0 y))
21.0ms	(* (* j 27.0) k)
2.9s	(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
32.0ms	(* (* x (* 18.0 y)) z)

simplify56.0ms

Counts

85 → 85

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	324	447
1	1471	364
2	5001	364
done	5001	364

prune353.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.7b	(* (* j 27.0) k)
4.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.7b	(* (* (* x 18.0) y) z)

rewrite318.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sub-neg` `associate-*r/` `prod-diff`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

18.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
219.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
59.0ms	(* (* (* x 18.0) y) z)

series213.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
21.0ms	(* (* j 27.0) k)
137.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
32.0ms	(* (* (* x 18.0) y) z)

simplify72.0ms

Counts

103 → 103

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	428	526
1	2218	446
2	5001	446
done	5001	446

prune403.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.4b

regimes1.2s

Accuracy

32.6% (2.4b remaining)

Error of 4.5b against oracle of 2.0b and baseline of 5.6b

bsearch258.0ms

Steps

Iters	Range		Point
9	7.669955253649238e-110	8.425108245941373e-103	1.0472853439294246e-109
8	-4.535381119032438e-144	-1.5478990716403302e-148	-3.388095490955714e-146

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	21
1	58	21
2	58	21
done	58	21

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.0s

16098×

body

valid