Details

sample30.0ms

Algorithm

intervals

Results

11.0ms	255×	body	80	valid
2.0ms	18×	body	640	valid
1.0ms	9×	body	1280	valid
1.0ms	12×	body	320	valid
0.0ms	6×	body	160	valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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: 10.5b

Counts

2 → 2

localize10.0ms

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)

series177.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- y z) (- a z))
121.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 4 (56.0ms)

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

prune59.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	10	5	15
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	10	7	17

Merged error: 3.4b

Counts

17 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.3b	(* (- y z) (/ 1 (- a z)))
3.3b	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 24

Calls

3 calls:

3.0ms	(/ 1 (- a z))
5.0ms	(* (- y z) (/ 1 (- a z)))
1.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

series213.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 1 (- a z))
55.0ms	(* (- y z) (/ 1 (- a z)))
121.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	137	102
1	551	102
2	2574	100
3	5001	97

prune93.0ms

Filtered

33 candidates to 19 candidates (57.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	31	9	40

Merged error: 3.2b

Counts

40 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.3b	(/ 1 (/ (- a z) (- y z)))
2.3b	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/r/`
4×	`flip3--` `clear-num` `flip--` `associate-/l/`
3×	`frac-2neg` `associate-/r*` `div-inv`
1×	`div-sub` `fma-udef` `remove-double-div` `inv-pow`

Counts

3 → 22

Calls

3 calls:

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

series325.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (- a z) (- y z))
145.0ms	(/ 1 (/ (- a z) (- y z)))
130.0ms	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	135	90
1	392	88
2	1568	84
3	5001	82

prune104.0ms

Filtered

31 candidates to 24 candidates (77.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	30	10	40

Merged error: 3.2b

Counts

40 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
1.3b	(+ (/ (- t x) (/ (- a z) (- y z))) x)
2.8b	(/ (- t x) (/ (- a z) (- y z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-/r/`
8×	`associate-/l/`
6×	`flip3--` `fma-def` `flip--`
4×	`frac-2neg` `clear-num` `div-inv`
3×	`div-sub` `associate-/r*`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+`

Counts

3 → 32

Calls

3 calls:

8.0ms	(/ (- a z) (- y z))
8.0ms	(+ (/ (- t x) (/ (- a z) (- y z))) x)
6.0ms	(/ (- t x) (/ (- a z) (- y z)))

series432.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- a z) (- y z))
156.0ms	(+ (/ (- t x) (/ (- a z) (- y z))) x)
220.0ms	(/ (- t x) (/ (- a z) (- y z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	235	175
1	723	173
2	2972	165
3	5001	161

prune121.0ms

Filtered

41 candidates to 34 candidates (82.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	36	5	41
Fresh	4	3	7
Picked	1	0	1
Done	0	2	2
Total	41	10	51

Merged error: 3.2b

Counts

51 → 10

regimes239.0ms

Accuracy

15.8% (3.4b remaining)

Error of 6.8b against oracle of 3.4b and baseline of 7.5b

bsearch89.0ms

Steps

Iters	Range		Point
9	3.4419829906443935e-241	6.1362283707282e-236	1.4106799391388845e-238
5	-6.6504294019972515e-217	-2.8584535771524205e-217	-6.436699715394899e-217

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

end0.0ms

sample732.0ms

Algorithm

intervals

Results

282.0ms	7852×	body	80	valid
60.0ms	477×	body	640	valid
46.0ms	275×	body	1280	valid
41.0ms	423×	body	320	valid
16.0ms	247×	body	160	valid
3.0ms	14×	body	2560	valid