Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

287×

body

valid

simplify68.0ms

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: 8.9b

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))
8.3b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite33.0ms

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:

10.0ms	(+ (/ x y) 1.0)
9.0ms	(* x (+ (/ x y) 1.0))
12.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series80.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (/ x y) 1.0)
24.0ms	(* x (+ (/ x y) 1.0))
41.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (41.0ms)

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

prune151.0ms

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: 0.0b

Counts

91 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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

series117.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
65.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
41.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (57.0ms)

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

prune270.0ms

Filtered

186 candidates to 125 candidates (67.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	184	2	186
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	185	6	191

Merged error: 0.0b

Counts

191 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.2b	(* x (/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

275×	`times-frac`
267×	`*-un-lft-identity`
145×	`add-sqr-sqrt`
131×	`add-cube-cbrt`
71×	`associate-r`
67×	`distribute-lft-out`
36×	`add-exp-log`
26×	`associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
13×	`fma-def`
11×	`div-inv`
10×	`flip3-+` `flip-+`
7×	`pow1` `cbrt-undiv` `prod-exp` `associate-/l*`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 285

Calls

4 calls:

7.0ms	(+ (/ x y) 1.0)
19.0ms	(/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
27.0ms	(* x (/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0))))

series155.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (/ x y) 1.0)
35.0ms	(/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0)))
68.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
41.0ms	(* x (/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0))))

simplify101.0ms

Algorithm

egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	739	2378
1	3888	2120
2	5003	1912

prune345.0ms

Filtered

297 candidates to 159 candidates (53.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	297	0	297
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	297	6	303

Merged error: 0.0b

Counts

303 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
8.3b	(/ (* x (fma (/ 1 (* (cbrt y) (cbrt y))) (/ x (cbrt y)) 1.0)) (+ x 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
9×	`add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `times-frac` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `distribute-lft-out`
1×	`frac-2neg` `flip3-+` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(/ (* x (fma (/ 1 (* (cbrt y) (cbrt y))) (/ x (cbrt y)) 1.0)) (+ x 1.0))

series688.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt y)
187.0ms	(cbrt y)
179.0ms	(cbrt y)
146.0ms	(/ (* x (fma (/ 1 (* (cbrt y) (cbrt y))) (/ x (cbrt y)) 1.0)) (+ x 1.0))

simplify38.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	234	507
1	1010	433
2	5002	414

prune180.0ms

Filtered

78 candidates to 65 candidates (83.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

regimes46.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample370.0ms

Algorithm

intervals

Results

230.0ms

9133×

body

valid