Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	3

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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) (- x y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 47

Calls

1 calls:

8.0ms

(/ (+ x y) (- x y))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(/ (+ x y) (- x y))

simplify53.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	172	296
1	523	282
2	1529	278
3	5002	278

prune65.0ms

Filtered

50 candidates to 34 candidates (32.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	4	51

Merged error: 0.0b

Counts

51 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
0.0b	(/ (+ x y) (- x y))
0.0b	(/ (+ x y) (- x y))
0.0b	(/ (+ x y) (- x y))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

501×	`*-un-lft-identity`
420×	`cbrt-div`
303×	`add-sqr-sqrt`
196×	`frac-times`
190×	`times-frac`
165×	`associate-/r*`
160×	`cbrt-prod`
149×	`add-cube-cbrt`
132×	`associate-/l*`
86×	`distribute-lft-out`
77×	`distribute-lft-out--`
66×	`associate-/l/`
65×	`difference-of-squares`
51×	`swap-sqr`
33×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
29×	`associate-r` `associate-l`
14×	`associate-r/` `associate-l/` `associate-/r/` `add-cbrt-cube`
12×	`add-exp-log`
11×	`pow1`
9×	`unswap-sqr`
7×	`flip3--` `flip--` `div-inv`
6×	`pow1/3`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 506

Calls

4 calls:

41.0ms	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
8.0ms	(/ (+ x y) (- x y))
8.0ms	(/ (+ x y) (- x y))
8.0ms	(/ (+ x y) (- x y))

series364.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
69.0ms	(/ (+ x y) (- x y))
70.0ms	(/ (+ x y) (- x y))
73.0ms	(/ (+ x y) (- x y))

simplify114.0ms

Algorithm

egg-herbie

Counts

518 → 518

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	624	6336
1	1699	6219
2	5001	5840

prune727.0ms

Filtered

518 candidates to 241 candidates (53.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	516	2	518
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	518	4	522

Merged error: 0b

Counts

522 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x y) (- x y))
0.0b	(/ (+ x y) (- x y))
0.0b	(/ (+ x y) (- x y))
0.0b	(* (cbrt (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))) (cbrt (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))))

rewrite17.7s

Algorithm

rewrite-expression-head

Rules

289800×	`cbrt-div`
138376×	`frac-times`
85431×	`*-un-lft-identity`
67515×	`associate-/r*`
55883×	`add-sqr-sqrt`
54012×	`associate-/l*`
27365×	`add-cube-cbrt`
27006×	`associate-/l/`
14258×	`distribute-lft-out`
14203×	`distribute-lft-out--`
13651×	`difference-of-squares`
13503×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
6524×	`associate-r/` `associate-l/`
4136×	`cbrt-prod`
2132×	`times-frac`
1386×	`swap-sqr`
586×	`unswap-sqr`
288×	`associate-l`
286×	`associate-r`
39×	`*-commutative`
38×	`associate-/r/`
19×	`flip3--` `flip--` `div-inv`
14×	`add-cbrt-cube`
12×	`add-exp-log`
11×	`pow1`
6×	`pow1/3`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 51776

Calls

4 calls:

9.0ms	(/ (+ x y) (- x y))
9.0ms	(/ (+ x y) (- x y))
8.0ms	(/ (+ x y) (- x y))
1.6s	(* (cbrt (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))) (cbrt (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))))

series509.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ (+ x y) (- x y))
70.0ms	(/ (+ x y) (- x y))
68.0ms	(/ (+ x y) (- x y))
299.0ms	(* (cbrt (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))) (cbrt (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))))

simplify18.9s

Algorithm

egg-herbie

Counts

51788 → 51788

Iterations

Useful iterations: 0 (733.0ms)

Iter	Nodes	Cost
0	34020	1969191

prune3.5m

Filtered

51788 candidates to 21214 candidates (59.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	51788	0	51788
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	51788	4	51792

Merged error: 0b

Counts

51792 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
32×	`times-frac`
28×	`add-cube-cbrt`
22×	`frac-times`
21×	`associate-r`
20×	`associate-/r*`
15×	`add-exp-log`
13×	`associate-/l*`
12×	`flip3-+` `flip-+`
11×	`associate-*r/`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube`
5×	`pow1` `clear-num`
4×	`frac-2neg` `div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`un-div-inv` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `flip3--` `1-exp` `associate-*l/` `flip--` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-flip` `pow-prod-down` `*-commutative` `distribute-lft-out` `inv-pow`

Counts

2 → 126

Calls

2 calls:

6.0ms	(/ 1 (- x y))
19.0ms	(* (+ x y) (/ 1 (- x y)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ 1 (- x y))
74.0ms	(* (+ x y) (/ 1 (- x y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	378	734
1	1937	660
2	5001	595

prune133.0ms

Filtered

132 candidates to 73 candidates (44.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	132	4	136

Merged error: 0b

Counts

136 → 4

regimes54.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	10	14

end0.0ms

sample290.0ms

Algorithm

intervals

Results

161.0ms

8000×

body

valid