Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	251×	body	80	valid
2.0ms	12×	body	1280	valid
2.0ms	20×	body	320	valid
1.0ms	11×	body	640	valid
0.0ms	6×	body	160	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	116	5
3	324	5
4	861	5
5	1912	5
6	4581	5
7	5001	5

prune8.0ms

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

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.3b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 9

Calls

2 calls:

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

series163.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- y z) (- a z))
115.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 4 (52.0ms)

Iter	Nodes	Cost
0	107	48
1	268	48
2	706	46
3	2282	42
4	5002	40

prune272.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	10	5	15
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	11	6	17

Merged error: 2.8b

Counts

17 → 6

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.0b	(* (/ (- y z) (- a z)) (- t x))
2.0b	(+ (* (/ (- y z) (- a z)) (- t x)) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

4.0ms	(/ (- y z) (- a z))
7.0ms	(* (/ (- y z) (- a z)) (- t x))
11.0ms	(+ (* (/ (- y z) (- a z)) (- t x)) x)

series547.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- y z) (- a z))
312.0ms	(* (/ (- y z) (- a z)) (- t x))
182.0ms	(+ (* (/ (- y z) (- a z)) (- t x)) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	356	302
1	1545	300
2	5001	298

prune174.0ms

Filtered

54 candidates to 43 candidates (79.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	48	6	54
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	51	9	60

Merged error: 2.7b

Counts

60 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- y z) (- a z))
0.0b	(/ (- y z) (- a z))
0.6b	(* (/ (- y z) (- a z)) t)
3.1b	(fma (- x) (/ (- y z) (- a z)) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 26

Calls

4 calls:

4.0ms	(/ (- y z) (- a z))
4.0ms	(/ (- y z) (- a z))
5.0ms	(* (/ (- y z) (- a z)) t)
1.0ms	(fma (- x) (/ (- y z) (- a z)) x)

series284.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (- y z) (- a z))
50.0ms	(/ (- y z) (- a z))
101.0ms	(* (/ (- y z) (- a z)) t)
81.0ms	(fma (- x) (/ (- y z) (- a z)) x)

simplify98.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	136	92
1	422	92
2	1319	92
3	4571	88
4	5001	88

prune144.0ms

Filtered

38 candidates to 31 candidates (81.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	34	4	38
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	38	9	47

Merged error: 2.7b

Counts

47 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- y z) (- a z))
0.2b	(* (- y z) (/ 1 (- a z)))
0.6b	(* (/ (- y z) (- a z)) t)
5.7b	(fma (- x) (* (- y z) (/ 1 (- a z))) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`flip3--` `flip--`
7×	`associate-*l/`
6×	`frac-times` `clear-num` `associate-/r/`
5×	`frac-2neg`
4×	`associate-/l/`
3×	`associate-r/` `associate-r` `associate-l*` `div-inv`
2×	`un-div-inv` `*-commutative`
1×	`div-sub` `fma-udef`

Counts

4 → 35

Calls

4 calls:

4.0ms	(/ (- y z) (- a z))
5.0ms	(* (- y z) (/ 1 (- a z)))
5.0ms	(* (/ (- y z) (- a z)) t)
1.0ms	(fma (- x) (* (- y z) (/ 1 (- a z))) x)

series283.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (- y z) (- a z))
50.0ms	(* (- y z) (/ 1 (- a z)))
100.0ms	(* (/ (- y z) (- a z)) t)
80.0ms	(fma (- x) (* (- y z) (/ 1 (- a z))) x)

simplify70.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	183	132
1	792	132
2	3525	132
3	5001	131

prune138.0ms

Filtered

47 candidates to 33 candidates (70.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	47	9	56

Merged error: 2.7b

Counts

56 → 9

regimes209.0ms

Accuracy

9.8% (4.5b remaining)

Error of 7.7b against oracle of 3.2b and baseline of 8.2b

bsearch136.0ms

Steps

Iters	Range		Point
10	7.754656091536779e-303	1.1726276398353017e-291	1.1580922259924246e-291
10	-2.996493172775562e-133	-4.728786603132531e-143	-5.2300501821702383e-135

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	18
1	34	18

end0.0ms

sample710.0ms

Algorithm

intervals

Results

261.0ms	7809×	body	80	valid
62.0ms	459×	body	640	valid
42.0ms	253×	body	1280	valid
38.0ms	414×	body	320	valid
20.0ms	280×	body	160	valid
5.0ms	29×	body	2560	valid