Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

7.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify49.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	191	254
1	588	238
2	1797	238
3	5001	236

prune58.0ms

Filtered

43 candidates to 28 candidates (65.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0b

Counts

44 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `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` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

3.0ms	(cbrt (+ y 1.0))
3.0ms	(cbrt (+ y 1.0))
3.0ms	(cbrt (+ y 1.0))
9.0ms	(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (+ y 1.0))
87.0ms	(cbrt (+ y 1.0))
86.0ms	(cbrt (+ y 1.0))
98.0ms	(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))

simplify160.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (144.0ms)

Iter	Nodes	Cost
0	305	792
1	1006	747
2	4435	693
3	5001	689

prune220.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Merged error: 0b

Counts

111 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

490×	`*-un-lft-identity` `times-frac`
288×	`sqrt-prod`
218×	`add-sqr-sqrt` `add-cube-cbrt`
136×	`distribute-lft-out`
38×	`associate-/l*`
20×	`sqrt-div` `associate-/r/`
14×	`associate-/r*`
11×	`flip3-+` `flip-+`
10×	`div-inv`
9×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp`
3×	`associate-/l/`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 351

Calls

2 calls:

20.0ms	(/ (/ (+ x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
9.0ms	(/ (+ x y) (sqrt (+ y 1.0)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (/ (+ x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
76.0ms	(/ (+ x y) (sqrt (+ y 1.0)))

simplify91.0ms

Algorithm

egg-herbie

Counts

357 → 357

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	730	4872
1	2462	4284
2	5001	4245

prune292.0ms

Filtered

357 candidates to 117 candidates (32.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	357	0	357
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	357	4	361

Merged error: 0b

Counts

361 → 4

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)
20.9b	(cbrt (pow (/ (+ x y) (+ y 1.0)) 3))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

135×	`*-un-lft-identity`
80×	`times-frac`
51×	`add-sqr-sqrt` `add-cube-cbrt`
50×	`cbrt-prod`
44×	`unpow-prod-down` `cube-prod`
42×	`distribute-lft-out`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+`
5×	`div-inv`
4×	`pow1` `associate-/r` `associate-/l`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube`

Counts

3 → 164

Calls

3 calls:

8.0ms	(/ (+ x y) (+ y 1.0))
9.0ms	(pow (/ (+ x y) (+ y 1.0)) 3)
10.0ms	(cbrt (pow (/ (+ x y) (+ y 1.0)) 3))

series149.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (+ x y) (+ y 1.0))
63.0ms	(pow (/ (+ x y) (+ y 1.0)) 3)
51.0ms	(cbrt (pow (/ (+ x y) (+ y 1.0)) 3))

simplify76.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	528	1223
1	2333	1125
2	5002	1111

prune172.0ms

Filtered

173 candidates to 75 candidates (43.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	173	4	177

Merged error: 0b

Counts

177 → 4

regimes49.0ms

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

sample299.0ms

Algorithm

intervals

Results

172.0ms

8000×

body

valid