Details

sample76.0ms

Algorithm

intervals

Results

38.0ms

522×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* a 4.0) t)
5.7b	(* (* (* x 18.0) y) z)
6.4b	(* (* (* (* x 18.0) y) z) t)

rewrite117.0ms

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)
7.0ms	(* (* a 4.0) t)
21.0ms	(* (* (* x 18.0) y) z)
79.0ms	(* (* (* (* x 18.0) y) z) t)

series120.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* j 27.0) k)
21.0ms	(* (* a 4.0) t)
29.0ms	(* (* (* x 18.0) y) z)
51.0ms	(* (* (* (* x 18.0) y) z) t)

simplify78.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	430	453
1	2310	350
2	5001	350

prune374.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
5.7b	(* (* (* x 18.0) y) z)
6.4b	(* (* (* (* x 18.0) y) z) t)

rewrite118.0ms

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:

9.0ms	(* (* x 18.0) y)
7.0ms	(* (* j 27.0) k)
21.0ms	(* (* (* x 18.0) y) z)
78.0ms	(* (* (* (* x 18.0) y) z) t)

series119.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
22.0ms	(* (* j 27.0) k)
28.0ms	(* (* (* x 18.0) y) z)
47.0ms	(* (* (* (* x 18.0) y) z) t)

simplify76.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (15.0ms)

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

prune368.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* (* j 27.0) k)
5.7b	(* (* x (* 18.0 y)) z)
6.4b	(* (* (* x (* 18.0 y)) z) t)

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

6.0ms	(* x (* 18.0 y))
6.0ms	(* (* j 27.0) k)
21.0ms	(* (* x (* 18.0 y)) z)
63.0ms	(* (* (* x (* 18.0 y)) z) t)

series121.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* x (* 18.0 y))
19.0ms	(* (* j 27.0) k)
34.0ms	(* (* x (* 18.0 y)) z)
47.0ms	(* (* (* x (* 18.0 y)) z) t)

simplify69.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	366	453
1	1926	350
2	5001	350

prune366.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* j (* 27.0 k))
5.7b	(* (* x (* 18.0 y)) z)
6.4b	(* (* (* x (* 18.0 y)) z) t)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

6.0ms	(* x (* 18.0 y))
6.0ms	(* j (* 27.0 k))
21.0ms	(* (* x (* 18.0 y)) z)
62.0ms	(* (* (* x (* 18.0 y)) z) t)

series120.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* x (* 18.0 y))
18.0ms	(* j (* 27.0 k))
33.0ms	(* (* x (* 18.0 y)) z)
48.0ms	(* (* (* x (* 18.0 y)) z) t)

simplify68.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	358	452
1	1815	349
2	5002	349

prune339.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

regimes916.0ms

Accuracy

31.3% (3.2b remaining)

Error of 3.8b against oracle of 0.6b and baseline of 5.3b

bsearch257.0ms

Steps

Iters	Range		Point
10	7.137523842583322e+24	1.850452603891731e+41	7.266411632715001e+24
5	-2.4366217888587064e-192	-8.239193929454759e-193	-2.3952493017416716e-192

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	30
1	66	30

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

15886×

body

valid