Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune1.0ms

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: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ x (+ x y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 35

Calls

1 calls:

5.0ms

(/ x (+ x y))

series38.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(/ x (+ x y))

simplify79.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	121	159
1	393	150
2	1065	150
3	3830	150
4	5002	150

prune54.0ms

Filtered

38 candidates to 27 candidates (71.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	34	4	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	4	39

Merged error: 0b

Counts

39 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(log1p (/ x (+ x y)))
0.0b	(expm1 (log1p (/ x (+ x y))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

5.0ms	(/ x (+ x y))
1.0ms	(log1p (/ x (+ x y)))
1.0ms	(expm1 (log1p (/ x (+ x y))))

series177.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ x (+ x y))
65.0ms	(log1p (/ x (+ x y)))
74.0ms	(expm1 (log1p (/ x (+ x y))))

simplify86.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	144	250
1	426	229
2	1102	229
3	3875	229
4	5001	229

prune104.0ms

Filtered

66 candidates to 50 candidates (75.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	66	4	70

Merged error: 0b

Counts

70 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
26×	`times-frac`
20×	`add-cube-cbrt`
18×	`associate-r`
15×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`distribute-lft-out`
5×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r*` `associate-/r/`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 82

Calls

2 calls:

6.0ms	(/ 1 (+ x y))
9.0ms	(* x (/ 1 (+ x y)))

series74.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ 1 (+ x y))
42.0ms	(* x (/ 1 (+ x y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	231	360
1	1017	310
2	3519	272
3	5001	272

prune88.0ms

Filtered

88 candidates to 50 candidates (56.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	88	4	92

Merged error: 0b

Counts

92 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (/ x (+ x y)))
0.0b	(expm1 (cbrt (pow (log1p (/ x (+ x y))) 3)))
0.6b	(pow (log1p (/ x (+ x y))) 3)
15.5b	(cbrt (pow (log1p (/ x (+ x y))) 3))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
4×	`add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `log1p-udef` `expm1-log1p` `pow-pow` `pow1/3` `log1p-expm1` `pow-exp` `rem-cbrt-cube` `expm1-udef` `rem-cube-cbrt`

Counts

4 → 70

Calls

4 calls:

1.0ms	(log1p (/ x (+ x y)))
1.0ms	(expm1 (cbrt (pow (log1p (/ x (+ x y))) 3)))
2.0ms	(pow (log1p (/ x (+ x y))) 3)
2.0ms	(cbrt (pow (log1p (/ x (+ x y))) 3))

series694.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(log1p (/ x (+ x y)))
76.0ms	(expm1 (cbrt (pow (log1p (/ x (+ x y))) 3)))
490.0ms	(pow (log1p (/ x (+ x y))) 3)
67.0ms	(cbrt (pow (log1p (/ x (+ x y))) 3))

simplify130.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	114	422
1	406	381
2	2858	373
3	5001	373

prune121.0ms

Filtered

82 candidates to 50 candidates (61.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	82	4	86

Merged error: 0b

Counts

86 → 4

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample283.0ms

Algorithm

intervals

Results

153.0ms

8000×

body

valid