Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

291×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	29	5
2	45	5
3	56	5
4	74	5
5	86	5
6	120	5
7	136	5
8	146	5
9	150	5
10	160	5
11	446	5
12	2695	5
13	5001	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 10.3b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
9.6b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
13×	`fma-def` `times-frac`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`flip3-+` `associate-r/` `associate-r` `associate-/r` `flip-+` `distribute-lft-out`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `sum-log` `-commutative` `associate-/l` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

8.0ms	(+ (/ x y) 1.0)
10.0ms	(* x (+ (/ x y) 1.0))
16.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series83.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
29.0ms	(* x (+ (/ x y) 1.0))
42.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	313	417
1	1574	364
2	5002	363

prune165.0ms

Filtered

90 candidates to 67 candidates (74.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	5	91

Merged error: 0b

Counts

91 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.0b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

165×	`*-un-lft-identity`
155×	`times-frac`
79×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
26×	`associate-/r*`
13×	`fma-def`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+` `div-inv` `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` `sum-log`

Counts

3 → 177

Calls

3 calls:

7.0ms	(+ (/ x y) 1.0)
13.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
13.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series115.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
40.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
64.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	511	1529
1	2397	1465
2	5002	1463

prune305.0ms

Filtered

186 candidates to 124 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	184	2	186
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	187	4	191

Merged error: 0b

Counts

191 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.1b	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

821×	`times-frac`
629×	`*-un-lft-identity`
351×	`add-sqr-sqrt` `add-cube-cbrt`
139×	`distribute-lft-out`
77×	`associate-/r*`
35×	`associate-/r/`
32×	`add-exp-log`
29×	`associate-/l*`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`flip3-+` `div-exp` `flip-+`
13×	`fma-def`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `sum-log` `inv-pow`

Counts

4 → 487

Calls

4 calls:

7.0ms	(+ (/ x y) 1.0)
15.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
10.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
27.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series194.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (/ x y) 1.0)
78.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
65.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
40.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify92.0ms

Algorithm

egg-herbie

Counts

499 → 499

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1305	5847
1	5001	5305

prune739.0ms

Filtered

499 candidates to 273 candidates (54.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	498	1	499
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	499	4	503

Merged error: 0b

Counts

503 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))) (cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))))
0.6b	(cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)))
0.6b	(cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)))
0.6b	(cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)))

rewrite936.0ms

Algorithm

rewrite-expression-head

Rules

5136×	`times-frac`
3717×	`*-un-lft-identity`
2139×	`add-sqr-sqrt`
1981×	`cbrt-prod`
1867×	`add-cube-cbrt`
792×	`distribute-lft-out`
400×	`swap-sqr`
218×	`associate-r` `associate-l`
133×	`associate-/r/`
93×	`div-inv`
64×	`unswap-sqr`
63×	`flip3-+` `flip-+`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 1601

Calls

4 calls:

599.0ms	(* (cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))) (cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))))
32.0ms	(cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)))
28.0ms	(cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)))
28.0ms	(cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)))

series848.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(* (cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))) (cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))))
201.0ms	(cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)))
206.0ms	(cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)))
206.0ms	(cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)))

simplify431.0ms

Algorithm

egg-herbie

Counts

1613 → 1613

Iterations

Useful iterations: 1 (62.0ms)

Iter	Nodes	Cost
0	2479	38671
1	5002	37319

prune3.4s

Filtered

1613 candidates to 731 candidates (45.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1613	0	1613
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	1613	4	1617

Merged error: 0b

Counts

1617 → 4

regimes37.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample371.0ms

Algorithm

intervals

Results

229.0ms

9114×

body

valid