Details

sample31.0ms

Algorithm

intervals

Results

12.0ms	250×	body	80	valid
3.0ms	19×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	7×	body	1280	valid
0.0ms	7×	body	160	valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	116	5
3	324	5
4	861	5
5	1907	5
6	4560	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 x) (- a t))
12.6b	(fma (/ (- y x) (- a t)) (- z t) 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 x) (- a t))
1.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

series144.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- y x) (- a t))
91.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

simplify58.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 4 (55.0ms)

Iter	Nodes	Cost
0	109	48
1	271	48
2	715	46
3	2384	42
4	5001	40

prune61.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	8	7	15
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	9	8	17

Merged error: 5.8b

Counts

17 → 8

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.3b	(* (- y x) (/ 1 (- a t)))
12.6b	(fma (* (- y x) (/ 1 (- a t))) (- z t) 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 t))
5.0ms	(* (- y x) (/ 1 (- a t)))
1.0ms	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

series187.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 1 (- a t))
53.0ms	(* (- y x) (/ 1 (- a t)))
92.0ms	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	145	102
1	571	102
2	2549	100
3	5001	99

prune93.0ms

Filtered

33 candidates to 19 candidates (57.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	31	10	41

Merged error: 5.8b

Counts

41 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y x) (- a t))
2.2b	(+ (* (/ (- y x) (- a t)) (- z t)) x)
4.3b	(* (/ (- y x) (- a t)) (- z t))

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 x) (- a t))
10.0ms	(+ (* (/ (- y x) (- a t)) (- z t)) x)
7.0ms	(* (/ (- y x) (- a t)) (- z t))

series429.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- y x) (- a t))
150.0ms	(+ (* (/ (- y x) (- a t)) (- z t)) x)
220.0ms	(* (/ (- y x) (- a t)) (- z t))

simplify48.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	359	313
1	1545	311
2	5001	309

prune196.0ms

Filtered

54 candidates to 44 candidates (81.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	46	8	54
Fresh	4	4	8
Picked	1	0	1
Done	0	1	1
Total	51	13	64

Merged error: 5.7b

Counts

64 → 13

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.0b	(+ (* (- y x) (/ (- z t) (- a t))) x)
2.6b	(* (- y x) (/ (- z t) (- a t)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 38

Calls

3 calls:

4.0ms	(/ (- z t) (- a t))
10.0ms	(+ (* (- y x) (/ (- z t) (- a t))) x)
6.0ms	(* (- y x) (/ (- z t) (- a t)))

series338.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- z t) (- a t))
159.0ms	(+ (* (- y x) (/ (- z t) (- a t))) x)
122.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify41.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	258	252
1	1219	250
2	5001	248

prune160.0ms

Filtered

47 candidates to 41 candidates (87.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	42	5	47
Fresh	6	5	11
Picked	1	0	1
Done	0	1	1
Total	49	11	60

Merged error: 3.8b

Counts

60 → 11

regimes270.0ms

Accuracy

9% (7.1b remaining)

Error of 11.1b against oracle of 3.9b and baseline of 11.8b

bsearch113.0ms

Steps

Iters	Range		Point
8	7.40395357533121e-198	7.391279573739562e-194	5.0890777150204933e-194
9	-2.0939008728128375e-165	-5.754752544746523e-173	-5.263476764205083e-166

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	17
1	32	17

end0.0ms

sample776.0ms

Algorithm

intervals

Results

300.0ms	7757×	body	80	valid
67.0ms	501×	body	640	valid
48.0ms	291×	body	1280	valid
39.0ms	391×	body	320	valid
17.0ms	246×	body	160	valid
3.0ms	16×	body	2560	valid