Details

sample177.0ms

Algorithm

intervals

Results

118.0ms

526×

body

valid

simplify185.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.3b	(* (* x 18.0) y)
5.2b	(* (* (* x 18.0) y) z)
6.5b	(* (* (* (* x 18.0) y) z) t)

rewrite123.0ms

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:

8.0ms	(* (* j 27.0) k)
7.0ms	(* (* x 18.0) y)
22.0ms	(* (* (* x 18.0) y) z)
83.0ms	(* (* (* (* x 18.0) y) z) t)

series113.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* j 27.0) k)
24.0ms	(* (* x 18.0) y)
26.0ms	(* (* (* x 18.0) y) z)
45.0ms	(* (* (* (* x 18.0) y) z) t)

simplify65.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	360	423
1	2141	320
2	5001	320

prune464.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.3b	(* (* x 18.0) y)
5.2b	(* (* (* x 18.0) y) z)
6.5b	(* (* (* (* x 18.0) y) z) t)

rewrite119.0ms

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:

6.0ms	(* j (* 27.0 k))
7.0ms	(* (* x 18.0) y)
22.0ms	(* (* (* x 18.0) y) z)
81.0ms	(* (* (* (* x 18.0) y) z) t)

series111.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* j (* 27.0 k))
21.0ms	(* (* x 18.0) y)
26.0ms	(* (* (* x 18.0) y) z)
47.0ms	(* (* (* (* x 18.0) y) z) t)

simplify62.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	352	422
1	2030	319
2	5002	319

prune283.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt t) (cbrt t))
0.6b	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
5.2b	(* (* (* x 18.0) y) z)
6.1b	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))

rewrite475.0ms

Algorithm

rewrite-expression-head

Rules

94×	`pow1`
89×	`add-exp-log`
65×	`pow-prod-down`
64×	`prod-exp` `cbrt-unprod`
62×	`add-cbrt-cube`
23×	`add-sqr-sqrt`
19×	`cbrt-prod`
16×	`associate-r`
15×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l`
6×	`pow1/3` `swap-sqr`
4×	`*-commutative` `add-log-exp` `unswap-sqr`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 137

Calls

4 calls:

6.0ms	(* (cbrt t) (cbrt t))
348.0ms	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
24.0ms	(* (* (* x 18.0) y) z)
90.0ms	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))

series441.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (cbrt t) (cbrt t))
72.0ms	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
29.0ms	(* (* (* x 18.0) y) z)
152.0ms	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))

simplify93.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	477	1183
1	2777	856
2	5001	778

prune470.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt t))
0.6b	(cbrt (cbrt t))
5.2b	(* (* (* x 18.0) y) z)
6.1b	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1` `add-exp-log`
37×	`add-cbrt-cube`
30×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 83

Calls

4 calls:

1.0ms	(cbrt (cbrt t))
1.0ms	(cbrt (cbrt t))
22.0ms	(* (* (* x 18.0) y) z)
91.0ms	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))

series636.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(cbrt (cbrt t))
227.0ms	(cbrt (cbrt t))
26.0ms	(* (* (* x 18.0) y) z)
144.0ms	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))

simplify69.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	348	629
1	1786	488
2	5002	474

prune423.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 1.2b

regimes1.2s

Accuracy

49.5% (2.5b remaining)

Error of 3.2b against oracle of 0.7b and baseline of 5.6b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	67
1	68	67

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.1s

16016×

body

valid