Details

sample11.0ms

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))

rewrite9.0ms

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` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

7.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	167	288
1	508	274
2	1434	270
3	5001	270

prune58.0ms

Filtered

48 candidates to 32 candidates (33.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	4	49

Merged error: 0.0b

Counts

49 → 4

localize10.0ms

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))

rewrite100.0ms

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×	`cbrt-unprod` `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 → 498

Calls

4 calls:

38.0ms	(* (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))

series367.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
72.0ms	(/ (+ x y) (- x y))
71.0ms	(/ (+ x y) (- x y))
76.0ms	(/ (+ x y) (- x y))

simplify129.0ms

Algorithm

egg-herbie

Counts

510 → 510

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	615	6292
1	1672	6175
2	5002	5796

prune672.0ms

Filtered

510 candidates to 233 candidates (54.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	508	2	510
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	510	4	514

Merged error: 0b

Counts

514 → 4

localize14.0ms

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))))))

rewrite15.4s

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×	`cbrt-unprod` `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 → 51768

Calls

4 calls:

8.0ms	(/ (+ x y) (- x y))
8.0ms	(/ (+ 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))))))

series506.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ (+ x y) (- x y))
71.0ms	(/ (+ x y) (- x y))
71.0ms	(/ (+ x y) (- x y))
292.0ms	(* (cbrt (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))) (cbrt (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))))

simplify19.9s

Algorithm

egg-herbie

Counts

51780 → 51780

Iterations

Useful iterations: 0 (768.0ms)

Iter	Nodes	Cost
0	34016	1970269

prune3.3m

Filtered

51780 candidates to 21219 candidates (59.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	51780	0	51780
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	51780	4	51784

Merged error: 0b

Counts

51784 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 123

Calls

2 calls:

5.0ms	(/ 1 (- x y))
14.0ms	(* (/ 1 (- x y)) (+ x y))

series112.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ 1 (- x y))
71.0ms	(* (/ 1 (- x y)) (+ x y))

simplify76.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	615	733
1	3012	655
2	5001	601

prune125.0ms

Filtered

129 candidates to 74 candidates (42.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	129	4	133

Merged error: 0b

Counts

133 → 4

regimes49.0ms

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

sample277.0ms

Algorithm

intervals

Results

152.0ms

8000×

body

valid