Details

sample39.0ms

Algorithm

intervals

Results

20.0ms

345×

body

valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	35	8
1	93	7
2	260	7
3	565	7
4	762	7
5	984	7
6	1021	7
7	1186	7
8	1552	7
9	2112	7
10	2112	7

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 2.9b

Counts

2 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.2b	(* (* y 9.0) z)
4.7b	(* (* (* y 9.0) z) t)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

3 → 53

Calls

3 calls:

1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
5.0ms	(* (* y 9.0) z)
7.0ms	(* (* (* y 9.0) z) t)

series205.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
18.0ms	(* (* y 9.0) z)
30.0ms	(* (* (* y 9.0) z) t)

simplify260.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	225	316
1	1077	256
2	5001	256

prune160.0ms

Filtered

62 candidates to 39 candidates (62.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	59	5	64

Merged error: 0.0b

Counts

64 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* y (* 9.0 z)) t)))
0.2b	(* y (* 9.0 z))
4.7b	(* (* y (* 9.0 z)) t)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`fma-udef`

Counts

3 → 53

Calls

3 calls:

1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y (* 9.0 z)) t)))
5.0ms	(* y (* 9.0 z))
7.0ms	(* (* y (* 9.0 z)) t)

series202.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y (* 9.0 z)) t)))
18.0ms	(* y (* 9.0 z))
25.0ms	(* (* y (* 9.0 z)) t)

simplify44.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	222	316
1	999	256
2	5001	256

prune140.0ms

Filtered

62 candidates to 38 candidates (61.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	61	6	67

Merged error: 0.0b

Counts

67 → 6

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))
0.3b	(* 9.0 (* t (* z y)))
4.7b	(* t (* z y))

rewrite24.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

Calls

4 calls:

5.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
5.0ms	(* 27.0 (* a b))
7.0ms	(* 9.0 (* t (* z y)))
5.0ms	(* t (* z y))

series172.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
21.0ms	(* 27.0 (* a b))
30.0ms	(* 9.0 (* t (* z y)))
33.0ms	(* t (* z y))

simplify62.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	315	429
1	1266	366
2	5002	366

prune231.0ms

Filtered

91 candidates to 56 candidates (61.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	91	6	97

Merged error: 0.0b

Counts

97 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
0.2b	(* 27.0 (* a b))
4.8b	(* (* 9.0 t) (* z y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 60

Calls

3 calls:

6.0ms	(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
5.0ms	(* 27.0 (* a b))
7.0ms	(* (* 9.0 t) (* z y))

series145.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
27.0ms	(* 27.0 (* a b))
31.0ms	(* (* 9.0 t) (* z y))

simplify75.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	301	364
1	1324	310
2	5001	309

prune155.0ms

Filtered

69 candidates to 41 candidates (59.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	69	6	75

Merged error: 0b

Counts

75 → 6

regimes369.0ms

Accuracy

42.7% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	31
1	51	31

end0.0ms

sample947.0ms

Algorithm

intervals

Results

558.0ms

11044×

body

valid