Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify83.0ms

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: 16.9b

Counts

2 → 2

localize17.0ms

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)
5.3b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
16.2b	(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)

series432.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
25.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
254.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
133.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify105.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 4 (100.0ms)

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

prune48.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.6b	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
5.2b	(* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)))
16.2b	(fma (* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-*r/` `clear-num`
2×	`frac-2neg` `un-div-inv` `fma-udef` `div-inv`
1×	`associate-r` `*-commutative` `inv-pow`

Counts

4 → 13

Calls

4 calls:

1.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
2.0ms	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
3.0ms	(* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)))
1.0ms	(fma (* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series258.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
37.0ms	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
61.0ms	(* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)))
131.0ms	(fma (* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify103.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	172	93
1	616	83
2	3221	80
3	5001	77

prune59.0ms

Filtered

25 candidates to 14 candidates (56.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	25	4	29

Merged error: 0.0b

Counts

29 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z 0.0692910599291889) 0.4917317610505968)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.8b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
19.7b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 24

Calls

4 calls:

4.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
4.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
8.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
12.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series267.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
64.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
53.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
118.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify83.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	269	181
1	864	165
2	3351	159
3	5002	156

prune101.0ms

Filtered

36 candidates to 26 candidates (72.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0b

Counts

40 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify12.0ms

Algorithm

egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 3 (5.0ms)

Iter	Nodes	Cost
0	19	14
1	33	14
2	47	14
3	55	11
4	62	11
5	63	11
6	63	11

prune5.0ms

Filtered

4 candidates to 2 candidates (50.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Merged error: 0b

Counts

8 → 4

regimes165.0ms

Accuracy

98.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 16.7b

bsearch134.0ms

Steps

Iters	Range		Point
8	1.9936437952865932e-05	0.09117784756913819	0.08969441358922764
8	-4.2197574811023237e+18	-113800757124221.17	-115891591468242.34

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	13
1	40	13

end0.0ms

sample556.0ms

Algorithm

intervals

Results

387.0ms

8000×

body

valid