Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

298×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 10.4b

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))
9.7b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite30.0ms

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:

7.0ms	(+ (/ x y) 1.0)
9.0ms	(* x (+ (/ x y) 1.0))
12.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series82.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
25.0ms	(* x (+ (/ x y) 1.0))
46.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (43.0ms)

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

prune157.0ms

Filtered

90 candidates to 67 candidates (74.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	84	6	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ 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)
17.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series140.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
42.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
87.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (51.0ms)

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

prune271.0ms

Filtered

186 candidates to 124 candidates (66.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	186	6	192

Merged error: 0b

Counts

192 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (/ x y)) (* x 1.0))
0.1b	(* x (/ x y))
9.7b	(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 91

Calls

3 calls:

5.0ms	(+ (* x (/ x y)) (* x 1.0))
6.0ms	(* x (/ x y))
10.0ms	(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

series92.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (* x (/ x y)) (* x 1.0))
23.0ms	(* x (/ x y))
40.0ms	(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	404	663
1	1903	601
2	5001	596

prune163.0ms

Filtered

100 candidates to 72 candidates (72.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	100	6	106

Merged error: 0b

Counts

106 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.0b	(/ (+ x 1.0) x)
0.2b	(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

803×	`times-frac`
642×	`*-un-lft-identity`
344×	`add-sqr-sqrt` `add-cube-cbrt`
149×	`distribute-lft-out`
77×	`associate-/r*`
32×	`add-exp-log`
29×	`div-inv`
23×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
13×	`fma-def`
11×	`associate-/r/`
10×	`cbrt-undiv`
7×	`flip3-+` `flip-+`
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 → 475

Calls

4 calls:

7.0ms	(+ (/ x y) 1.0)
5.0ms	(/ (+ x 1.0) x)
14.0ms	(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
23.0ms	(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (/ x y) 1.0)
52.0ms	(/ (+ x 1.0) x)
86.0ms	(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
43.0ms	(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

simplify87.0ms

Algorithm

egg-herbie

Counts

487 → 487

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1195	5563
1	5001	5028

prune609.0ms

Filtered

487 candidates to 254 candidates (52.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	487	0	487
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	487	6	493

Merged error: 0b

Counts

493 → 6

regimes42.0ms

Accuracy

0% (0.1b 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

sample492.0ms

Algorithm

intervals

Results

321.0ms

9045×

body

valid