Details

sample36.0ms

Algorithm

intervals

Results

17.0ms

359×

body

valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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: 3.0b

Counts

2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a 27.0) b)
0.3b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.4b	(* (* y 9.0) z)
4.8b	(* (* (* y 9.0) z) t)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`associate-l`
20×	`*-commutative`
12×	`prod-diff`
2×	`fma-neg`
1×	`sub-neg` `flip3--` `flip--`

Counts

4 → 29

Calls

4 calls:

3.0ms	(* (* a 27.0) b)
7.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
3.0ms	(* (* y 9.0) z)
5.0ms	(* (* (* y 9.0) z) t)

series142.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* a 27.0) b)
73.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
18.0ms	(* (* y 9.0) z)
30.0ms	(* (* (* y 9.0) z) t)

simplify186.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	203	234
1	715	208
2	4335	208
3	5001	208

prune83.0ms

Filtered

41 candidates to 19 candidates (46.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	38	5	43

Merged error: 0.3b

Counts

43 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (* t (* z y)))
0.2b	(* (* a 27.0) b)
0.3b	(- (* x 2.0) (* 9.0 (* t (* z y))))
4.9b	(* t (* z y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-r` `*-commutative`
12×	`prod-diff`
2×	`fma-neg` `associate-l`
1×	`sub-neg` `flip3--` `flip--`

Counts

4 → 29

Calls

4 calls:

4.0ms	(* 9.0 (* t (* z y)))
3.0ms	(* (* a 27.0) b)
6.0ms	(- (* x 2.0) (* 9.0 (* t (* z y))))
3.0ms	(* t (* z y))

series154.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 9.0 (* t (* z y)))
21.0ms	(* (* a 27.0) b)
77.0ms	(- (* x 2.0) (* 9.0 (* t (* z y))))
27.0ms	(* t (* z y))

simplify157.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	183	232
1	640	206
2	3676	206
3	5001	206

prune91.0ms

Filtered

41 candidates to 20 candidates (48.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	41	5	46

Merged error: 0.3b

Counts

46 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma 2.0 x (- (* (* z y) (* 9.0 t)))) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.2b	(fma 2.0 x (- (* (* z y) (* 9.0 t))))
5.0b	(* (* z y) (* 9.0 t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-commutative`
4×	`associate-l`
2×	`associate-r` `fma-udef`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`

Counts

4 → 13

Calls

4 calls:

3.0ms	(+ (fma 2.0 x (- (* (* z y) (* 9.0 t)))) (* (* a 27.0) b))
3.0ms	(* (* a 27.0) b)
1.0ms	(fma 2.0 x (- (* (* z y) (* 9.0 t))))
5.0ms	(* (* z y) (* 9.0 t))

series286.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(+ (fma 2.0 x (- (* (* z y) (* 9.0 t)))) (* (* a 27.0) b))
21.0ms	(* (* a 27.0) b)
77.0ms	(fma 2.0 x (- (* (* z y) (* 9.0 t))))
32.0ms	(* (* z y) (* 9.0 t))

simplify88.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	117	116
1	454	111
2	2269	106
3	5003	105

prune82.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	25	5	30

Merged error: 0.3b

Counts

30 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (* t (* z y)))
0.2b	(fma x 2.0 (- (* 27.0 (* a b)) (* 9.0 (* t (* z y)))))
0.3b	(* 27.0 (* a b))
4.9b	(* t (* z y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r`
7×	`*-commutative`
1×	`fma-udef`

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 9.0 (* t (* z y)))
1.0ms	(fma x 2.0 (- (* 27.0 (* a b)) (* 9.0 (* t (* z y)))))
3.0ms	(* 27.0 (* a b))
3.0ms	(* t (* z y))

series239.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* 9.0 (* t (* z y)))
153.0ms	(fma x 2.0 (- (* 27.0 (* a b)) (* 9.0 (* t (* z y)))))
21.0ms	(* 27.0 (* a b))
30.0ms	(* t (* z y))

simplify110.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	53	45
1	110	43
2	222	43
3	430	43
4	509	43
5	581	43
6	738	43
7	1005	43
8	1245	43
9	1337	43
10	1669	43
11	2165	43
12	2165	43

prune61.0ms

Filtered

24 candidates to 16 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	24	5	29

Merged error: 0.3b

Counts

29 → 5

regimes570.0ms

Accuracy

71.7% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 3.8b

bsearch156.0ms

Steps

Iters	Range		Point
9	2.3988479758507786e-148	2.4425940060568197e-141	2.173576152581956e-141
9	-3.8331764657718957e-41	-2.66730577831928e-46	-3.794731962546154e-41

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	14
1	42	14

end0.0ms

sample856.0ms

Algorithm

intervals

Results

481.0ms

11019×

body

valid