Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

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: 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))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(/ x (+ x y))

simplify84.0ms

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

prune55.0ms

Filtered

38 candidates to 27 candidates (71.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	3	39

Merged error: 0b

Counts

39 → 3

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))))

series178.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ x (+ x y))
62.0ms	(log1p (/ x (+ x y)))
76.0ms	(expm1 (log1p (/ x (+ x y))))

simplify81.0ms

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

prune95.0ms

Filtered

66 candidates to 49 candidates (74.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	66	3	69

Merged error: 0b

Counts

69 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:

5.0ms	(/ 1 (+ x y))
9.0ms	(* x (/ 1 (+ x y)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ 1 (+ x y))
37.0ms	(* x (/ 1 (+ x y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (23.0ms)

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

prune77.0ms

Filtered

88 candidates to 49 candidates (55.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Merged error: 0b

Counts

91 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(pow (/ x (+ x y)) 3)
14.6b	(cbrt (pow (/ x (+ x y)) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
60×	`times-frac`
46×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`cbrt-prod`
36×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `flip-+` `div-inv`
4×	`pow1` `associate-/r*`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube`

Counts

3 → 147

Calls

3 calls:

5.0ms	(/ x (+ x y))
7.0ms	(pow (/ x (+ x y)) 3)
7.0ms	(cbrt (pow (/ x (+ x y)) 3))

series151.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ x (+ x y))
73.0ms	(pow (/ x (+ x y)) 3)
41.0ms	(cbrt (pow (/ x (+ x y)) 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	396	820
1	1788	741
2	5001	733

prune144.0ms

Filtered

156 candidates to 75 candidates (48.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	156	3	159

Merged error: 0b

Counts

159 → 3

regimes38.0ms

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

sample382.0ms

Algorithm

intervals

Results

210.0ms

8000×

body

valid