Details

sample85.0ms

Algorithm

intervals

Results

36.0ms

561×

body

valid

simplify141.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
5.1b	(* (* (* (* x 18.0) y) z) t)
5.4b	(* (* (* x 18.0) y) z)

rewrite287.0ms

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×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

18.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)
192.0ms	(* (* (* (* x 18.0) y) z) t)
57.0ms	(* (* (* x 18.0) y) z)

series98.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* x 18.0) y)
15.0ms	(* (* j 27.0) k)
39.0ms	(* (* (* (* x 18.0) y) z) t)
26.0ms	(* (* (* x 18.0) y) z)

simplify70.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	360	423
1	2133	320
2	5001	320

prune297.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* j (* 27.0 k))
5.1b	(* (* (* (* x 18.0) y) z) t)
5.4b	(* (* (* x 18.0) y) z)

rewrite292.0ms

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×	`*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
18.0ms	(* j (* 27.0 k))
194.0ms	(* (* (* (* x 18.0) y) z) t)
59.0ms	(* (* (* x 18.0) y) z)

series99.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* x 18.0) y)
15.0ms	(* j (* 27.0 k))
42.0ms	(* (* (* (* x 18.0) y) z) t)
24.0ms	(* (* (* x 18.0) y) z)

simplify66.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	352	422
1	2022	319
2	5001	319

prune308.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
1.2b	(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
4.3b	(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))
5.1b	(* (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) t)

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

92×	`pow1` `add-exp-log`
67×	`pow-prod-down` `prod-exp` `cbrt-unprod`
60×	`add-cbrt-cube`
10×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`add-log-exp`
3×	`associate-l` `*-commutative`
1×	`pow1/3`

Counts

4 → 111

Calls

4 calls:

1.0ms	(cbrt z)
247.0ms	(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
72.0ms	(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))
906.0ms	(* (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) t)

series410.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt z)
49.0ms	(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
115.0ms	(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))
68.0ms	(* (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) t)

simplify86.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	457	1154
1	2484	778
2	5002	672

prune557.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.8b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt j)
0.6b	(cbrt j)
5.1b	(* (* (* (* x 18.0) y) z) t)
5.4b	(* (* (* x 18.0) y) z)

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt j)
1.0ms	(cbrt j)
195.0ms	(* (* (* (* x 18.0) y) z) t)
58.0ms	(* (* (* x 18.0) y) z)

series406.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt j)
175.0ms	(cbrt j)
39.0ms	(* (* (* (* x 18.0) y) z) t)
25.0ms	(* (* (* x 18.0) y) z)

simplify56.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	271	357
1	1483	278
2	5002	274

prune309.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.8b

regimes1.1s

Accuracy

49.4% (2.5b remaining)

Error of 3.2b against oracle of 0.7b and baseline of 5.7b

bsearch281.0ms

Steps

Iters	Range		Point
9	0.0021549947559455418	1671.9740574409352	21.731119322670786
9	-3.7215763858358113e+34	-1.9705931894208908e+28	-1.2308565379699144e+30

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	51
1	80	51

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.0s

16237×

body

valid