Details

sample70.0ms

Algorithm

intervals

Results

34.0ms

500×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

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

prune19.0ms

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: 4.1b

Counts

2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
1.7b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
5.6b	(* (* (* x 18.0) y) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
1.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
7.0ms	(* (* (* x 18.0) y) z)

series3.0s

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
2.9s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
28.0ms	(* (* (* x 18.0) y) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	326	447
1	1657	364
2	5001	364

prune392.0ms

Filtered

85 candidates to 54 candidates (63.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	76	9	85
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	77	10	87

Merged error: 1.2b

Counts

87 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k)))
0.2b	(* (* j 27.0) k)
1.7b	(fma t (- (* (* x 18.0) (* y z)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
2.7b	(* (* x 18.0) (* y z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

4.0ms	(- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k)))
5.0ms	(* (* j 27.0) k)
1.0ms	(fma t (- (* (* x 18.0) (* y z)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
7.0ms	(* (* x 18.0) (* y z))

series3.0s

Counts

4 → 12

Calls

4 calls:

97.0ms	(- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k)))
19.0ms	(* (* j 27.0) k)
2.9s	(fma t (- (* (* x 18.0) (* y z)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
28.0ms	(* (* x 18.0) (* y z))

simplify58.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	405	628
1	1656	489
2	5001	489

prune313.0ms

Filtered

85 candidates to 51 candidates (60.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	85	10	95

Merged error: 1.2b

Counts

95 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* (* j 27.0) k)
1.7b	(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
5.6b	(* (* x (* 18.0 y)) z)

rewrite21.0ms

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*`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* x (* 18.0 y))
5.0ms	(* (* j 27.0) k)
1.0ms	(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
7.0ms	(* (* x (* 18.0 y)) z)

series3.0s

Counts

4 → 12

Calls

4 calls:

34.0ms	(* x (* 18.0 y))
20.0ms	(* (* j 27.0) k)
2.9s	(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
31.0ms	(* (* x (* 18.0 y)) z)

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	324	447
1	1471	364
2	5001	364

prune306.0ms

Filtered

85 candidates to 49 candidates (57.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	8	8
Picked	1	0	1
Done	1	0	1
Total	86	9	95

Merged error: 1.2b

Counts

95 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* 18.0 y) z)
1.7b	(fma t (- (* x (* (* 18.0 y) z)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
2.6b	(* x (* (* 18.0 y) z))

rewrite21.0ms

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*`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (* j 27.0) k)
5.0ms	(* (* 18.0 y) z)
1.0ms	(fma t (- (* x (* (* 18.0 y) z)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
7.0ms	(* x (* (* 18.0 y) z))

series2.9s

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* j 27.0) k)
18.0ms	(* (* 18.0 y) z)
2.9s	(fma t (- (* x (* (* 18.0 y) z)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
29.0ms	(* x (* (* 18.0 y) z))

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	324	447
1	1524	364
2	5002	364

prune285.0ms

Filtered

85 candidates to 51 candidates (60.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	85	9	94

Merged error: 1.2b

Counts

94 → 9

regimes1.1s

Accuracy

55.4% (1.7b remaining)

Error of 3.8b against oracle of 2.1b and baseline of 6.0b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	51
1	61	51

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

16251×

body

valid