Details

sample80.0ms

Algorithm

intervals

Results

42.0ms

657×

body

valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 11.1b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
4.8b	(* j (- (* c t) (* i y)))
5.4b	(* b (- (* c z) (* i a)))
5.9b	(* x (- (* y z) (* t a)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-*r/`
19×	`flip3--` `flip--`
13×	`sub-neg`
12×	`distribute-rgt-in` `distribute-lft-in` `frac-add`
8×	`frac-sub`
6×	`associate-+l+`
5×	`associate-+l-`
4×	`associate-+r+` `associate--l+` `associate--r+`
3×	`*-commutative`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

4 → 51

Calls

4 calls:

21.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
5.0ms	(* j (- (* c t) (* i y)))
5.0ms	(* b (- (* c z) (* i a)))
5.0ms	(* x (- (* y z) (* t a)))

series778.0ms

Counts

4 → 12

Calls

4 calls:

575.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
69.0ms	(* j (- (* c t) (* i y)))
70.0ms	(* b (- (* c z) (* i a)))
64.0ms	(* x (- (* y z) (* t a)))

simplify113.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	773	1369
1	4021	1359
2	5001	1359

prune351.0ms

Filtered

63 candidates to 40 candidates (63.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	46	17	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	17	64

Merged error: 7.6b

Counts

64 → 17

localize23.0ms

Local error

Found 4 expressions with local error:

3.9b	(* j (- (* i y)))
5.4b	(* b (- (* c z) (* i a)))
5.9b	(* x (- (* y z) (* t a)))
5.9b	(* j (* c t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-r` `*-commutative`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
2×	`distribute-lft-neg-in` `flip3--` `distribute-rgt-neg-in` `flip--`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 24

Calls

4 calls:

4.0ms	(* j (- (* i y)))
5.0ms	(* b (- (* c z) (* i a)))
5.0ms	(* x (- (* y z) (* t a)))
3.0ms	(* j (* c t))

series194.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* j (- (* i y)))
69.0ms	(* b (- (* c z) (* i a)))
65.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* j (* c t))

simplify116.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	183	109
1	479	107
2	1247	105
3	3582	105
4	5002	105

prune396.0ms

Filtered

36 candidates to 24 candidates (66.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	8	8	16
Picked	1	0	1
Done	0	0	0
Total	39	14	53

Merged error: 6.0b

Counts

53 → 14

localize22.0ms

Local error

Found 4 expressions with local error:

3.9b	(* j (- (* i y)))
5.4b	(* b (- (* c z) (* i a)))
5.5b	(* (* j t) c)
5.9b	(* x (- (* y z) (* t a)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-commutative`
5×	`associate-r`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
2×	`distribute-lft-neg-in` `flip3--` `distribute-rgt-neg-in` `associate-l` `flip--`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 24

Calls

4 calls:

3.0ms	(* j (- (* i y)))
5.0ms	(* b (- (* c z) (* i a)))
3.0ms	(* (* j t) c)
5.0ms	(* x (- (* y z) (* t a)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* j (- (* i y)))
66.0ms	(* b (- (* c z) (* i a)))
27.0ms	(* (* j t) c)
67.0ms	(* x (- (* y z) (* t a)))

simplify118.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	184	109
1	478	107
2	1245	105
3	3580	105
4	5001	105

prune181.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	3	10	13
Picked	0	1	1
Done	0	0	0
Total	36	14	50

Merged error: 5.8b

Counts

50 → 14

localize22.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* j (- i)) y)
5.4b	(* b (- (* c z) (* i a)))
5.9b	(* x (- (* y z) (* t a)))
5.9b	(* j (* c t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-commutative`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
3×	`associate-r` `associate-l`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-out` `neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 22

Calls

4 calls:

4.0ms	(* (* j (- i)) y)
5.0ms	(* b (- (* c z) (* i a)))
5.0ms	(* x (- (* y z) (* t a)))
3.0ms	(* j (* c t))

series186.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* j (- i)) y)
67.0ms	(* b (- (* c z) (* i a)))
65.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* j (* c t))

simplify120.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	178	106
1	462	104
2	1250	102
3	3596	102
4	5002	102

prune113.0ms

Filtered

34 candidates to 22 candidates (64.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	30	4	34
Fresh	3	9	12
Picked	1	0	1
Done	0	1	1
Total	34	14	48

Merged error: 5.5b

Counts

48 → 14

regimes908.0ms

Accuracy

-20.1% (8.9b remaining)

Error of 13.6b against oracle of 4.7b and baseline of 12.1b

bsearch183.0ms

Steps

Iters	Range		Point
6	1.3907642941545456e+172	1.0522557751600799e+173	1.5511745392186436e+172
6	1.0432816736183653e+27	4.51680901679999e+27	4.4754383724291455e+27

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	38
1	70	38
2	71	38
3	71	38

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19182×

body

valid