Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

269×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

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	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 1.3b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.9b	(* y (/ (- z t) (- a t)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
9.0ms	(/ (- z t) (- a t))
15.0ms	(* y (/ (- z t) (- a t)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ x (* y (/ (- z t) (- a t))))
56.0ms	(/ (- z t) (- a t))
75.0ms	(* y (/ (- z t) (- a t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	433	776
1	1705	730
2	5002	730

prune355.0ms

Filtered

131 candidates to 92 candidates (70.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	125	6	131
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	7	132

Merged error: 0b

Counts

132 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.5b	(/ 1 (/ (- a t) (- z t)))
2.9b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
337×	`add-sqr-sqrt`
325×	`*-un-lft-identity`
159×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
3×	`fma-def` `associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 349

Calls

4 calls:

9.0ms	(/ (- a t) (- z t))
4.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
13.0ms	(/ 1 (/ (- a t) (- z t)))
35.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series498.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ (- a t) (- z t))
126.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
153.0ms	(/ 1 (/ (- a t) (- z t)))
162.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify127.0ms

Algorithm

egg-herbie

Counts

361 → 361

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	966	2881
1	4843	2588
2	5001	2588

prune906.0ms

Filtered

361 candidates to 217 candidates (60.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	359	2	361
Fresh	2	3	5
Picked	1	0	1
Done	1	0	1
Total	363	5	368

Merged error: 0b

Counts

368 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.0b	(+ x (/ y (/ (- a t) (- z t))))
3.0b	(/ y (/ (- a t) (- z t)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
198×	`*-un-lft-identity`
196×	`add-sqr-sqrt`
92×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 215

Calls

3 calls:

9.0ms	(/ (- a t) (- z t))
26.0ms	(+ x (/ y (/ (- a t) (- z t))))
12.0ms	(/ y (/ (- a t) (- z t)))

series343.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (- a t) (- z t))
131.0ms	(+ x (/ y (/ (- a t) (- z t))))
161.0ms	(/ y (/ (- a t) (- z t)))

simplify98.0ms

Algorithm

egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	711	1917
1	3095	1858
2	5001	1854

prune618.0ms

Filtered

224 candidates to 154 candidates (68.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	222	2	224
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	224	5	229

Merged error: 0b

Counts

229 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
0.0b	(/ (- a t) (- z t))
0.6b	(/ 1 (/ (/ (- a t) (- z t)) y))
2.9b	(/ (/ (- a t) (- z t)) y)

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
798×	`*-un-lft-identity`
795×	`add-sqr-sqrt`
451×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
32×	`add-exp-log`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `fma-def` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 635

Calls

4 calls:

70.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
9.0ms	(/ (- a t) (- z t))
30.0ms	(/ 1 (/ (/ (- a t) (- z t)) y))
13.0ms	(/ (/ (- a t) (- z t)) y)

series515.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
51.0ms	(/ (- a t) (- z t))
181.0ms	(/ 1 (/ (/ (- a t) (- z t)) y))
96.0ms	(/ (/ (- a t) (- z t)) y)

simplify122.0ms

Algorithm

egg-herbie

Counts

647 → 647

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	1840	7534
1	5002	6318

prune1.3s

Filtered

647 candidates to 301 candidates (46.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	646	1	647
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	647	5	652

Merged error: 0b

Counts

652 → 5

regimes137.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	20
1	22	20

end0.0ms

sample565.0ms

Algorithm

intervals

Results

292.0ms	8708×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid