Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

276×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	20	5
1	36	4
2	59	4
3	103	4
4	173	4
5	236	4
6	265	4
7	311	4
8	375	4
9	511	4
10	674	4
11	1179	4
12	1300	4
13	1308	4
14	1308	4

prune6.0ms

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: 1.4b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

9.0ms	(/ (- z t) (- a t))
1.0ms	(fma y (/ (- z t) (- a t)) x)

series132.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- z t) (- a t))
82.0ms	(fma y (/ (- z t) (- a t)) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	258	433
1	707	410
2	2404	410
3	5003	410

prune190.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	61	9	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	9	71

Merged error: 1.2b

Counts

71 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
413×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 581

Calls

4 calls:

38.0ms	(- (/ z (- a t)) (/ t (- a t)))
6.0ms	(/ t (- a t))
9.0ms	(/ z (- a t))
1.0ms	(fma y (- (/ z (- a t)) (/ t (- a t))) x)

series285.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (/ z (- a t)) (/ t (- a t)))
45.0ms	(/ t (- a t))
30.0ms	(/ z (- a t))
137.0ms	(fma y (- (/ z (- a t)) (/ t (- a t))) x)

simplify429.0ms

Algorithm

egg-herbie

Counts

593 → 593

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	1234	15689
1	3299	11705
2	5002	11613

prune1.1s

Filtered

593 candidates to 269 candidates (45.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	591	2	593
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	592	10	602

Merged error: 1.2b

Counts

602 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (- a t) (- z t)))
1.3b	(fma y (/ 1 (/ (- a t) (- z t))) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

9.0ms	(/ (- a t) (- z t))
12.0ms	(/ 1 (/ (- a t) (- z t)))
1.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

series378.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- a t) (- z t))
137.0ms	(/ 1 (/ (- a t) (- z t)))
188.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify79.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	620	1891
1	2762	1708
2	5002	1537

prune342.0ms

Filtered

223 candidates to 106 candidates (47.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	221	2	223
Fresh	5	3	8
Picked	0	1	1
Done	0	1	1
Total	226	7	233

Merged error: 1.1b

Counts

233 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ y (/ (- a t) (- z t))) x)
0.0b	(/ (- a t) (- z t))
2.1b	(/ y (/ (- a t) (- z t)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

386×	`times-frac`
322×	`*-un-lft-identity`
320×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
98×	`fma-def`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
18×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 310

Calls

3 calls:

39.0ms	(+ (/ y (/ (- a t) (- z t))) x)
9.0ms	(/ (- a t) (- z t))
16.0ms	(/ y (/ (- a t) (- z t)))

series416.0ms

Counts

3 → 9

Calls

3 calls:

213.0ms	(+ (/ y (/ (- a t) (- z t))) x)
52.0ms	(/ (- a t) (- z t))
150.0ms	(/ y (/ (- a t) (- z t)))

simplify97.0ms

Algorithm

egg-herbie

Counts

319 → 319

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	711	1921
1	3085	1862
2	5001	1858

prune722.0ms

Filtered

319 candidates to 223 candidates (69.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	315	4	319
Fresh	4	0	4
Picked	1	0	1
Done	0	2	2
Total	320	6	326

Merged error: 0b

Counts

326 → 6

regimes153.0ms

Accuracy

61.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.4b

bsearch84.0ms

Steps

Iters	Range		Point
8	288352109824731.6	1.7996496416427061e+19	297107934094652.9
7	-1.6103421997619425e+30	-9.291837407995173e+28	-9.418650167160107e+28

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	18
1	32	18

end0.0ms

sample564.0ms

Algorithm

intervals

Results

289.0ms	8729×	body	80	valid
0.0ms	1×	body	640	valid