Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 42

Calls

1 calls:

7.0ms

(/ (+ x y) (+ y 1.0))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(/ (+ x y) (+ y 1.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	195	262
1	618	246
2	1964	245
3	5001	245

prune53.0ms

Filtered

45 candidates to 30 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Merged error: 0b

Counts

46 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))
0.3b	(cbrt (+ y 1.0))
0.3b	(cbrt (+ y 1.0))
0.3b	(cbrt (+ y 1.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 106

Calls

4 calls:

10.0ms	(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))
3.0ms	(cbrt (+ y 1.0))
3.0ms	(cbrt (+ y 1.0))
3.0ms	(cbrt (+ y 1.0))

series388.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))
93.0ms	(cbrt (+ y 1.0))
95.0ms	(cbrt (+ y 1.0))
91.0ms	(cbrt (+ y 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	328	855
1	1121	800
2	5002	724

prune230.0ms

Filtered

118 candidates to 83 candidates (70.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	118	3	121

Merged error: 0b

Counts

121 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x y) (+ y 1.0))
0.1b	(pow (/ (+ x y) (+ y 1.0)) 3)
21.2b	(cbrt (pow (/ (+ x y) (+ y 1.0)) 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
48×	`times-frac`
44×	`unpow-prod-down`
33×	`add-sqr-sqrt` `add-cube-cbrt`
27×	`cbrt-prod`
26×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/`
4×	`pow1` `pow-unpow` `flip3-+` `associate-/r` `flip-+` `associate-/l`
3×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`cbrt-undiv` `unpow3` `div-exp` `pow-exp` `rem-cbrt-cube` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `clear-num`

Counts

3 → 123

Calls

3 calls:

8.0ms	(/ (+ x y) (+ y 1.0))
8.0ms	(pow (/ (+ x y) (+ y 1.0)) 3)
9.0ms	(cbrt (pow (/ (+ x y) (+ y 1.0)) 3))

series161.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (+ x y) (+ y 1.0))
65.0ms	(pow (/ (+ x y) (+ y 1.0)) 3)
59.0ms	(cbrt (pow (/ (+ x y) (+ y 1.0)) 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	484	858
1	1867	824
2	5001	814

prune173.0ms

Filtered

132 candidates to 82 candidates (62.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	132	3	135

Merged error: 0b

Counts

135 → 3

regimes43.0ms

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	8	3
1	8	3

end0.0ms

sample262.0ms

Algorithm

intervals

Results

143.0ms	7998×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid