Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

277×

body

valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	4
1	46	4
2	88	4
3	138	4
4	188	4
5	236	4
6	260	4
7	263	4
8	263	4

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 4.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- y t))
4.5b	(/ x (/ (* z (- y t)) 2.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 18

Calls

2 calls:

3.0ms	(* z (- y t))
4.0ms	(/ x (/ (* z (- y t)) 2.0))

series80.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* z (- y t))
46.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 4 (52.0ms)

Iter	Nodes	Cost
0	77	65
1	210	62
2	593	61
3	2415	61
4	5003	60

prune44.0ms

Filtered

24 candidates to 15 candidates (62.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	6	25

Merged error: 0.0b

Counts

25 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (- y t))
0.6b	(/ 2.0 (* z (- y t)))
4.3b	(* x (/ 2.0 (* z (- y t))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`associate-*r/`
4×	`associate-/r` `associate-/r/` `-commutative`
3×	`flip3--` `associate-r` `clear-num` `flip--`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `div-inv`
1×	`un-div-inv`

Counts

3 → 24

Calls

3 calls:

3.0ms	(* z (- y t))
3.0ms	(/ 2.0 (* z (- y t)))
5.0ms	(* x (/ 2.0 (* z (- y t))))

series109.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* z (- y t))
28.0ms	(/ 2.0 (* z (- y t)))
45.0ms	(* x (/ 2.0 (* z (- y t))))

simplify68.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	86	73
1	267	70
2	920	70
3	3283	70
4	5001	70

prune57.0ms

Filtered

33 candidates to 21 candidates (63.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	33	6	39

Merged error: 0.0b

Counts

39 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (- y t))
0.2b	(* x (/ 2.0 (- y t)))
5.1b	(/ (* x (/ 2.0 (- y t))) z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 25

Calls

3 calls:

3.0ms	(/ 2.0 (- y t))
3.0ms	(* x (/ 2.0 (- y t)))
5.0ms	(/ (* x (/ 2.0 (- y t))) z)

series142.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 2.0 (- y t))
30.0ms	(* x (/ 2.0 (- y t)))
71.0ms	(/ (* x (/ 2.0 (- y t))) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (18.0ms)

Iter	Nodes	Cost
0	97	65
1	277	64
2	792	63
3	2194	61
4	5002	61

prune63.0ms

Filtered

34 candidates to 25 candidates (73.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* x (- 2.0)) (- (- y t)))
5.1b	(/ (/ (* x (- 2.0)) (- (- y t))) z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`neg-mul-1` `associate-/l*`
7×	`associate-/l/`
6×	`times-frac`
4×	`associate-r` `associate-/r/` `*-commutative` `distribute-neg-frac`
3×	`frac-2neg` `distribute-frac-neg` `clear-num` `div-inv`
2×	`flip3--` `associate-/r*` `distribute-rgt-neg-out` `flip--`

Counts

2 → 30

Calls

2 calls:

5.0ms	(/ (* x (- 2.0)) (- (- y t)))
7.0ms	(/ (/ (* x (- 2.0)) (- (- y t))) z)

series109.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (* x (- 2.0)) (- (- y t)))
74.0ms	(/ (/ (* x (- 2.0)) (- (- y t))) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	144	121
1	392	115
2	1677	112
3	5001	111

prune74.0ms

Filtered

36 candidates to 29 candidates (80.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	1	1	2
Picked	0	1	1
Done	1	1	2
Total	36	5	41

Merged error: 0.0b

Counts

41 → 5

regimes133.0ms

Accuracy

53.4% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 5.6b

bsearch168.0ms

Steps

Iters	Range		Point
8	4.798385169243652e-51	7.225244250210621e-47	2.7804817686208827e-47
10	2.3921132320884054e-244	3.2258299531989797e-234	2.416175823740062e-244
7	-5.8657503922563225e-307	-6.697292366404246e-309	-7.16200565517568e-309
9	-7451887.57199378	-0.0748897710117716	-3149.6947709486194

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	26
1	45	26
2	55	26
3	57	26
4	57	26

end0.0ms

sample489.0ms

Algorithm

intervals

Results

268.0ms

8696×

body

valid