Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune4.0ms

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))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(/ x (+ x y))

simplify84.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	121	159
1	393	150
2	1065	150
3	3830	150
4	5002	150

prune60.0ms

Filtered

38 candidates to 27 candidates (71.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	3	39

Merged error: 0.0b

Counts

39 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
18×	`associate-r`
15×	`add-exp-log`
10×	`associate-*r/`
9×	`add-cbrt-cube`
8×	`associate-/r*` `distribute-lft-out`
7×	`associate-/l*`
5×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-l` `clear-num` `un-div-inv` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

2 → 93

Calls

2 calls:

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

series73.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ 1 (+ x y))
37.0ms	(* x (/ 1 (+ x y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	238	376
1	1031	324
2	3521	282
3	5002	282

prune119.0ms

Filtered

99 candidates to 54 candidates (54.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0b

Counts

102 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))
0.6b	(cbrt (/ 1 (+ x y)))
0.6b	(cbrt (/ 1 (+ x y)))
0.6b	(cbrt (/ 1 (+ x y)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

250×	`cbrt-div`
238×	`*-un-lft-identity`
166×	`cbrt-prod`
158×	`add-sqr-sqrt`
118×	`add-cube-cbrt`
112×	`times-frac`
100×	`frac-times` `associate-/r*`
75×	`associate-/l*`
52×	`distribute-lft-out`
29×	`swap-sqr`
25×	`frac-2neg` `clear-num`
21×	`associate-r` `associate-l`
16×	`unswap-sqr`
14×	`associate-/r/`
11×	`pow1`
10×	`associate-r/` `associate-l/`
9×	`pow1/3` `div-inv`
8×	`add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 344

Calls

4 calls:

24.0ms	(* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))
9.0ms	(cbrt (/ 1 (+ x y)))
6.0ms	(cbrt (/ 1 (+ x y)))
5.0ms	(cbrt (/ 1 (+ x y)))

series553.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))
133.0ms	(cbrt (/ 1 (+ x y)))
129.0ms	(cbrt (/ 1 (+ x y)))
131.0ms	(cbrt (/ 1 (+ x y)))

simplify77.0ms

Algorithm

egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	492	3455
1	1555	3224
2	5002	2535

prune433.0ms

Filtered

356 candidates to 140 candidates (39.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	356	0	356
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	356	4	360

Merged error: 0b

Counts

360 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(pow (/ x (+ x y)) 3)
13.7b	(cbrt (pow (/ x (+ x y)) 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 166

Calls

3 calls:

5.0ms	(/ x (+ x y))
8.0ms	(pow (/ x (+ x y)) 3)
14.0ms	(cbrt (pow (/ x (+ x y)) 3))

series160.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ x (+ x y))
79.0ms	(pow (/ x (+ x y)) 3)
39.0ms	(cbrt (pow (/ x (+ x y)) 3))

simplify67.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	476	898
1	2437	810
2	5001	798

prune262.0ms

Filtered

175 candidates to 88 candidates (50.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	175	4	179

Merged error: 0b

Counts

179 → 4

regimes72.0ms

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	5	2
1	5	2

end0.0ms

sample255.0ms

Algorithm

intervals

Results

127.0ms

8000×

body

valid