Details

sample58.0ms

Algorithm

intervals

Results

22.0ms	55×	body	1280	valid
11.0ms	46×	body	640	valid
6.0ms	149×	body	80	valid
4.0ms	24×	body	320	valid
3.0ms	88×	body	80	nan
2.0ms	16×	body	160	valid

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (8.0ms)

Iter	Nodes	Cost
0	15	6
1	24	6
2	51	6
3	106	6
4	304	4
5	774	4
6	4142	4
7	5001	4

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ x (+ x y)) x) x)
0.0b	(/ x (+ x y))
6.1b	(pow (/ x (+ x y)) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
118×	`*-un-lft-identity`
90×	`unpow-prod-down`
80×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
19×	`distribute-lft-out`
16×	`add-exp-log`
12×	`associate-/r/`
7×	`div-exp` `associate-/r*` `add-cbrt-cube` `div-inv`
6×	`flip3-+` `flip-+`
5×	`sqr-pow`
4×	`pow1` `pow-exp`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 172

Calls

3 calls:

10.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
6.0ms	(pow (/ x (+ x y)) x)

series421.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(/ (pow (/ x (+ x y)) x) x)
41.0ms	(/ x (+ x y))
239.0ms	(pow (/ x (+ x y)) x)

simplify70.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	537	1436
1	2640	1406
2	5001	1406

prune389.0ms

Filtered

181 candidates to 131 candidates (72.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 47

Calls

4 calls:

3.0ms	(cbrt (+ x y))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series691.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (+ x y))
203.0ms	(cbrt x)
180.0ms	(cbrt x)
180.0ms	(cbrt x)

simplify46.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	139	204
1	348	190
2	1107	182
3	5002	182

prune217.0ms

Filtered

59 candidates to 51 candidates (86.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (pow (/ x (+ x y)) x) x)) (cbrt (/ (pow (/ x (+ x y)) x) x)))
6.1b	(pow (/ x (+ x y)) x)
6.1b	(pow (/ x (+ x y)) x)
6.1b	(pow (/ x (+ x y)) x)

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

576×	`times-frac`
403×	`*-un-lft-identity`
379×	`add-sqr-sqrt`
376×	`cbrt-prod`
330×	`unpow-prod-down`
259×	`add-cube-cbrt`
91×	`swap-sqr`
73×	`associate-r` `associate-l`
63×	`distribute-lft-out`
36×	`unswap-sqr`
30×	`associate-/r/`
27×	`sqr-pow`
19×	`div-inv`
15×	`add-exp-log` `flip3-+` `flip-+`
14×	`pow1`
9×	`pow-unpow`
6×	`pow1/3` `pow-exp`
4×	`cbrt-div` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `div-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 393

Calls

4 calls:

93.0ms	(* (cbrt (/ (pow (/ x (+ x y)) x) x)) (cbrt (/ (pow (/ x (+ x y)) x) x)))
6.0ms	(pow (/ x (+ x y)) x)
6.0ms	(pow (/ x (+ x y)) x)
6.0ms	(pow (/ x (+ x y)) x)

series1.5s

Counts

4 → 12

Calls

4 calls:

770.0ms	(* (cbrt (/ (pow (/ x (+ x y)) x) x)) (cbrt (/ (pow (/ x (+ x y)) x) x)))
244.0ms	(pow (/ x (+ x y)) x)
271.0ms	(pow (/ x (+ x y)) x)
240.0ms	(pow (/ x (+ x y)) x)

simplify150.0ms

Algorithm

egg-herbie

Counts

405 → 405

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	1059	6560
1	4511	6482
2	5001	6361

prune1.3s

Filtered

405 candidates to 279 candidates (68.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (exp (* -1 y)) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`pow1` `cbrt-undiv` `exp-neg` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

4.0ms

(/ (exp (* -1 y)) x)

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(/ (exp (* -1 y)) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	114	186
1	303	172
2	1465	170
3	5003	170

prune69.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes74.0ms

Accuracy

90.8% (0.6b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 6.8b

bsearch143.0ms

Steps

Iters	Range		Point
8	0.06572553875352417	1034.289800400292	25.356729299496507
11	-133078281566.82077	-2.5686370651019963e-14	-34762.52869247024

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	20
1	31	20

end0.0ms

sample1.8s

Algorithm

intervals

Results

667.0ms	1545×	body	1280	valid
361.0ms	1412×	body	640	valid
212.0ms	4900×	body	80	valid
136.0ms	851×	body	320	valid
92.0ms	2963×	body	80	nan
46.0ms	446×	body	160	valid