Details

sample79.0ms

Algorithm

intervals

Results

42.0ms

652×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	47	14
1	110	13
2	335	13
3	1059	13
4	3442	13
5	5001	13

prune12.0ms

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: 12.0b

Counts

2 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c z) (* t i))
3.0b	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
5.9b	(* x (- (* y z) (* t a)))
6.6b	(* b (- (* c z) (* t i)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-commutative`
20×	`prod-diff`
12×	`distribute-rgt-in` `distribute-lft-in`
5×	`sub-neg`
4×	`associate-*r/`
3×	`flip3--` `flip--`
2×	`fma-neg`
1×	`fma-udef`

Counts

4 → 41

Calls

4 calls:

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

series690.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* c z) (* t i))
519.0ms	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
67.0ms	(* x (- (* y z) (* t a)))
68.0ms	(* b (- (* c z) (* t i)))

simplify159.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	248	293
1	694	286
2	1946	286
3	4948	250
4	5001	250

prune137.0ms

Filtered

53 candidates to 24 candidates (45.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	48	7	55

Merged error: 3.7b

Counts

55 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c z) (* t i))
3.4b	(* j (- (* c a) (* y i)))
5.9b	(* x (- (* y z) (* t a)))
6.6b	(* b (- (* c z) (* t i)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-commutative`
28×	`prod-diff`
18×	`distribute-rgt-in` `distribute-lft-in`
7×	`sub-neg`
6×	`associate-*r/`
4×	`flip3--` `flip--`
2×	`fma-neg`

Counts

4 → 55

Calls

4 calls:

4.0ms	(- (* c z) (* t i))
5.0ms	(* j (- (* c a) (* y i)))
5.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* b (- (* c z) (* t i)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* c z) (* t i))
63.0ms	(* j (- (* c a) (* y i)))
65.0ms	(* x (- (* y z) (* t a)))
65.0ms	(* b (- (* c z) (* t i)))

simplify66.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	318	383
1	880	373
2	2486	373
3	5001	313

prune166.0ms

Filtered

67 candidates to 28 candidates (41.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	63	4	67
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	65	9	74

Merged error: 3.7b

Counts

74 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

3.4b	(* j (fma a c (* i y)))
5.9b	(* x (- (* y z) (* t a)))
6.6b	(* b (- (* c z) (* t i)))
19.4b	(/ (* (* j (fma a c (* i y))) (fma a c (- (* y i)))) (+ (* c a) (* y i)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-commutative`
16×	`prod-diff`
13×	`distribute-rgt-in` `distribute-lft-in`
4×	`sub-neg` `associate-r/` `associate-/l`
2×	`flip3--` `associate-l` `associate-/r/` `flip--` `fma-udef`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

4 → 42

Calls

4 calls:

2.0ms	(* j (fma a c (* i y)))
5.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* b (- (* c z) (* t i)))
8.0ms	(/ (* (* j (fma a c (* i y))) (fma a c (- (* y i)))) (+ (* c a) (* y i)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* j (fma a c (* i y)))
65.0ms	(* x (- (* y z) (* t a)))
62.0ms	(* b (- (* c z) (* t i)))
134.0ms	(/ (* (* j (fma a c (* i y))) (fma a c (- (* y i)))) (+ (* c a) (* y i)))

simplify70.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	316	325
1	906	314
2	2688	286
3	5002	285

prune213.0ms

Filtered

54 candidates to 28 candidates (51.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	51	12	63

Merged error: 3.7b

Counts

63 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (/ 1 (* j (- (* c a) (* i y)))))
3.4b	(* j (- (* c a) (* i y)))
5.9b	(* x (- (* y z) (* t a)))
6.6b	(* b (- (* c z) (* t i)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-commutative`
24×	`prod-diff`
18×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-*r/`
7×	`associate-/r/`
6×	`sub-neg`
5×	`associate-/r*`
4×	`flip3--` `flip--`
3×	`clear-num`
2×	`frac-2neg` `div-inv` `remove-double-div` `inv-pow`
1×	`pow-flip`

Counts

4 → 60

Calls

4 calls:

7.0ms	(/ 1 (/ 1 (* j (- (* c a) (* i y)))))
6.0ms	(* j (- (* c a) (* i y)))
5.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* b (- (* c z) (* t i)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ 1 (/ 1 (* j (- (* c a) (* i y)))))
67.0ms	(* j (- (* c a) (* i y)))
68.0ms	(* x (- (* y z) (* t a)))
67.0ms	(* b (- (* c z) (* t i)))

simplify78.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	332	370
1	1013	358
2	3259	358
3	5001	358

prune293.0ms

Filtered

72 candidates to 31 candidates (43.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	72	12	84

Merged error: 3.7b

Counts

84 → 12

regimes648.0ms

Accuracy

-4.8% (8.3b remaining)

Error of 12.4b against oracle of 4.1b and baseline of 12.0b

bsearch118.0ms

Steps

Iters	Range		Point
4	5.567523194490419e-266	9.752916936877158e-266	5.642843056892081e-266
6	3.0279402369842325e-285	2.80327005206559e-284	1.6227582129164173e-284

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	43
1	73	43
2	73	43

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19192×

body

valid