Details

sample113.0ms

Algorithm

intervals

Results

72.0ms

530×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* j 27.0) k)
0.7b	(* (* x 18.0) y)
3.1b	(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)

rewrite38.0ms

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:

7.0ms	(* (* j 27.0) k)
6.0ms	(* (* x 18.0) y)
0.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
22.0ms	(* (* (* x 18.0) y) z)

series3.0s

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* j 27.0) k)
22.0ms	(* (* x 18.0) y)
3.0s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
29.0ms	(* (* (* x 18.0) y) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (13.0ms)

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

prune374.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (* 18.0 y))
0.5b	(* (* j 27.0) k)
3.1b	(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)

rewrite35.0ms

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:

6.0ms	(* x (* 18.0 y))
10.0ms	(* (* 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))))
18.0ms	(* (* x (* 18.0 y)) z)

series3.1s

Counts

4 → 12

Calls

4 calls:

21.0ms	(* x (* 18.0 y))
19.0ms	(* (* j 27.0) k)
3.0s	(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
29.0ms	(* (* x (* 18.0 y)) z)

simplify56.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (12.0ms)

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

prune345.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (* 18.0 y))
0.5b	(* j (* 27.0 k))
3.1b	(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)

rewrite35.0ms

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-l*`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

8.0ms	(* x (* 18.0 y))
6.0ms	(* 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)))))
18.0ms	(* (* x (* 18.0 y)) z)

series3.3s

Counts

4 → 12

Calls

4 calls:

21.0ms	(* x (* 18.0 y))
34.0ms	(* j (* 27.0 k))
3.2s	(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
29.0ms	(* (* x (* 18.0 y)) z)

simplify59.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	316	446
1	1360	363
2	5001	363

prune346.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* j 27.0) k)
0.7b	(* (* x 18.0) y)
4.7b	(* (* (* x 18.0) y) z)
5.1b	(* (* (* (* x 18.0) y) z) t)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

7.0ms	(* (* j 27.0) k)
6.0ms	(* (* x 18.0) y)
21.0ms	(* (* (* x 18.0) y) z)
79.0ms	(* (* (* (* x 18.0) y) z) t)

series122.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* j 27.0) k)
21.0ms	(* (* x 18.0) y)
28.0ms	(* (* (* x 18.0) y) z)
51.0ms	(* (* (* (* x 18.0) y) z) t)

simplify81.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	368	453
1	2149	350
2	5001	350

prune346.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.8b

regimes1.0s

Accuracy

31.6% (3.5b remaining)

Error of 4.1b against oracle of 0.6b and baseline of 5.8b

bsearch348.0ms

Steps

Iters	Range		Point
8	1.4182018898408e+46	6.9942487500397255e+50	1.5924523366101448e+46
9	-1.698375700225597e-21	-2.107150502420225e-29	-5.502401519030054e-23

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	76	40
1	76	40

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.2s

16142×

body

valid