Details

sample24.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	38	7
1	72	7
2	167	6
3	354	6
4	646	6
5	921	6
6	1060	6
7	1331	6
8	1792	6
9	1860	6
10	1861	6
11	1861	6

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: 17.6b

Counts

2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ z 6.012459259764103) z 3.350343815022304)
0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
4.2b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
17.6b	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`fma-udef`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

4 → 6

Calls

4 calls:

1.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
1.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
2.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series233.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
27.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
57.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
130.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify100.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 4 (97.0ms)

Iter	Nodes	Cost
0	146	79
1	392	69
2	1127	66
3	3785	62
4	5002	60

prune46.0ms

Filtered

18 candidates to 11 candidates (61.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	16	4	20

Merged error: 0.0b

Counts

20 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ 0.07512208616047561 z) y (fma y 0.0692910599291889 x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`fma-udef`

Counts

1 → 1

Calls

1 calls:

1.0ms

(fma (/ 0.07512208616047561 z) y (fma y 0.0692910599291889 x))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(fma (/ 0.07512208616047561 z) y (fma y 0.0692910599291889 x))

simplify9.0ms

Algorithm

egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	22	14
1	42	14
2	62	11
3	63	11
4	63	11

prune9.0ms

Filtered

4 candidates to 2 candidates (50.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	4	4	8

Merged error: 0.0b

Counts

8 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
4.5b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
21.2b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

5×	`flip3-+` `flip-+`
4×	`associate-r/` `associate-l/` `*-commutative`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-/r/` `associate-/l/` `associate-/l*`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

4 → 22

Calls

4 calls:

3.0ms	(* (+ z 6.012459259764103) z)
4.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
7.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
11.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series269.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (+ z 6.012459259764103) z)
62.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
52.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
115.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify82.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	274	175
1	857	160
2	3426	154
3	5001	151

prune97.0ms

Filtered

34 candidates to 25 candidates (73.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	34	4	38

Merged error: 0b

Counts

38 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.3b	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
17.1b	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 24

Calls

4 calls:

3.0ms	(* (+ z 6.012459259764103) z)
4.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
10.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
10.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

series291.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (+ z 6.012459259764103) z)
65.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
117.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
63.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

simplify99.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	285	210
1	942	193
2	4011	180
3	5001	174

prune109.0ms

Filtered

36 candidates to 29 candidates (80.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	36	4	40

Merged error: 0b

Counts

40 → 4

regimes105.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.0b

bsearch157.0ms

Steps

Iters	Range		Point
10	4524963932.878733	3.615032422830462e+19	4.6478240124859e+14
9	-14828224019393.607	-208845680.95928752	-3580323853.1267157

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	13
1	40	13

end0.0ms

sample495.0ms

Algorithm

intervals

Results

334.0ms

8000×

body

valid