Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

331×

body

valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	4
1	27	3
2	62	3
3	112	3
4	170	3
5	213	3
6	260	3
7	450	3
8	845	3
9	1532	3
10	3138	3
11	4585	3
12	5001	3

prune7.0ms

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: 4.8b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
10.2b	(* (- y x) (/ z t))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-times`
4×	`flip3--` `clear-num` `flip--`
3×	`frac-2neg` `associate-*r/`
2×	`associate-*l/`
1×	`+-commutative` `flip3-+` `associate-r` `un-div-inv` `*-commutative` `flip-+` `div-inv`

Counts

2 → 17

Calls

2 calls:

4.0ms	(+ x (* (- y x) (/ z t)))
5.0ms	(* (- y x) (/ z t))

series85.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ x (* (- y x) (/ z t)))
48.0ms	(* (- y x) (/ z t))

simplify69.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	150	126
1	626	125
2	3426	110
3	5001	110

prune63.0ms

Filtered

23 candidates to 16 candidates (69.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	18	5	23
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	19	6	25

Merged error: 0.0b

Counts

25 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
10.3b	(/ (- y x) (/ t z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-/r/`
2×	`frac-2neg` `div-sub` `clear-num` `div-inv` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `associate-/r*` `flip--` `flip-+`

Counts

2 → 14

Calls

2 calls:

4.0ms	(+ x (/ (- y x) (/ t z)))
4.0ms	(/ (- y x) (/ t z))

series88.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (/ (- y x) (/ t z)))
51.0ms	(/ (- y x) (/ t z))

simplify47.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	136	94
1	393	80
2	1548	75
3	5002	75

prune56.0ms

Filtered

20 candidates to 14 candidates (70.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	17	3	20
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	20	6	26

Merged error: 0.0b

Counts

26 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
4.2b	(fma (/ (- y x) t) z x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-/l/`
1×	`flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 7

Calls

2 calls:

4.0ms	(/ (- y x) t)
1.0ms	(fma (/ (- y x) t) z x)

series71.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (- y x) t)
43.0ms	(fma (/ (- y x) t) z x)

simplify145.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	72	41
1	141	41
2	244	35
3	537	31
4	903	31
5	1183	31
6	1768	31
7	2502	31
8	3180	31
9	4468	31
10	5001	31

prune37.0ms

Filtered

13 candidates to 7 candidates (53.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	13	6	19

Merged error: 0.0b

Counts

19 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b	(- (/ y t) (/ x t))
4.2b	(fma (- (/ y t) (/ x t)) z x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`frac-sub`
8×	`frac-2neg`
6×	`clear-num`
5×	`div-inv`
2×	`sub-div`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `fma-neg` `prod-diff` `flip--` `fma-udef`

Counts

2 → 19

Calls

2 calls:

5.0ms	(- (/ y t) (/ x t))
1.0ms	(fma (- (/ y t) (/ x t)) z x)

series52.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- (/ y t) (/ x t))
30.0ms	(fma (- (/ y t) (/ x t)) z x)

simplify83.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	207	134
1	737	114
2	3177	101
3	5001	98

prune54.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	24	7	31

Merged error: 0.0b

Counts

31 → 7

regimes203.0ms

Accuracy

67.7% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 6.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	30	21
1	33	12
2	36	12
3	36	12

end0.0ms

sample602.0ms

Algorithm

intervals

Results

315.0ms

10685×

body

valid