Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

340×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	8
1	83	8
2	220	8
3	384	8
4	455	8
5	563	8
6	586	8
7	677	8
8	902	8
9	1322	8
10	1322	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.9b	(* (* a 27.0) b)
4.9b	(* (* (* y 9.0) z) t)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-l` `*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 72

Calls

4 calls:

11.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
6.0ms	(* (* y 9.0) z)
6.0ms	(* (* a 27.0) b)
21.0ms	(* (* (* y 9.0) z) t)

series200.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
16.0ms	(* (* y 9.0) z)
22.0ms	(* (* a 27.0) b)
24.0ms	(* (* (* y 9.0) z) t)

simplify58.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	370	455
1	1919	383
2	5002	383

prune204.0ms

Filtered

84 candidates to 49 candidates (58.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 27.0 (* a b)) (* (* (* y 9.0) z) t))
0.2b	(* 27.0 (* a b))
0.2b	(* (* y 9.0) z)
4.9b	(* (* (* y 9.0) z) t)

rewrite42.0ms

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*`
6×	`add-log-exp`
5×	`associate-l`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

6.0ms	(- (* 27.0 (* a b)) (* (* (* y 9.0) z) t))
6.0ms	(* 27.0 (* a b))
6.0ms	(* (* y 9.0) z)
21.0ms	(* (* (* y 9.0) z) t)

series135.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* 27.0 (* a b)) (* (* (* y 9.0) z) t))
19.0ms	(* 27.0 (* a b))
19.0ms	(* (* y 9.0) z)
24.0ms	(* (* (* y 9.0) z) t)

simplify51.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	319	384
1	1527	325
2	5002	325

prune181.0ms

Filtered

81 candidates to 46 candidates (56.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
0.2b	(* 27.0 (* a b))
0.2b	(* 9.0 (* t (* z y)))
4.9b	(* t (* z y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
3×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

6.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
6.0ms	(* 27.0 (* a b))
15.0ms	(* 9.0 (* t (* z y)))
6.0ms	(* t (* z y))

series146.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
19.0ms	(* 27.0 (* a b))
29.0ms	(* 9.0 (* t (* z y)))
24.0ms	(* t (* z y))

simplify41.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	289	380
1	1155	321
2	5001	321

prune181.0ms

Filtered

81 candidates to 46 candidates (56.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
0.2b	(* a (* 27.0 b))
0.2b	(* (* y 9.0) z)
4.9b	(* (* (* y 9.0) z) t)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`associate-l`
3×	`*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 72

Calls

4 calls:

11.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
6.0ms	(* a (* 27.0 b))
6.0ms	(* (* y 9.0) z)
21.0ms	(* (* (* y 9.0) z) t)

series198.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
19.0ms	(* a (* 27.0 b))
16.0ms	(* (* y 9.0) z)
26.0ms	(* (* (* y 9.0) z) t)

simplify53.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	363	454
1	1770	382
2	5002	382

prune179.0ms

Filtered

84 candidates to 50 candidates (59.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes618.0ms

Accuracy

39.6% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	23
1	44	23

end0.0ms

sample812.0ms

Algorithm

intervals

Results

443.0ms

10953×

body

valid