Details

sample64.0ms

Algorithm

intervals

Results

23.0ms	55×	body	1280	valid
14.0ms	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

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (9.0ms)

Iter	Nodes	Cost
0	15	6
1	24	6
2	51	6
3	108	6
4	310	4
5	792	4
6	4192	4
7	5002	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize6.0ms

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)

rewrite32.0ms

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×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 178

Calls

3 calls:

11.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
7.0ms	(pow (/ x (+ x y)) x)

series402.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(/ (pow (/ x (+ x y)) x) x)
39.0ms	(/ x (+ x y))
228.0ms	(pow (/ x (+ x y)) x)

simplify73.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	554	1456
1	2726	1426
2	5002	1426

prune400.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 55

Calls

4 calls:

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

series661.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (+ x y))
177.0ms	(cbrt x)
178.0ms	(cbrt x)
173.0ms	(cbrt x)

simplify49.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	147	222
1	378	207
2	1203	199
3	5001	199

prune245.0ms

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)

rewrite172.0ms

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×	`expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `log1p-expm1-u` `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 → 401

Calls

4 calls:

108.0ms	(* (cbrt (/ (pow (/ x (+ x y)) x) x)) (cbrt (/ (pow (/ x (+ x y)) x) x)))
8.0ms	(pow (/ x (+ x y)) x)
7.0ms	(pow (/ x (+ x y)) x)
7.0ms	(pow (/ x (+ x y)) x)

series1.5s

Counts

4 → 12

Calls

4 calls:

768.0ms	(* (cbrt (/ (pow (/ x (+ x y)) x) x)) (cbrt (/ (pow (/ x (+ x y)) x) x)))
232.0ms	(pow (/ x (+ x y)) x)
231.0ms	(pow (/ x (+ x y)) x)
228.0ms	(pow (/ x (+ x y)) x)

simplify154.0ms

Algorithm

egg-herbie

Counts

413 → 413

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1074	6597
1	4607	6520
2	5001	6520

prune1.3s

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` `expm1-log1p-u` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

4.0ms

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

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	118	194
1	313	179
2	1512	177
3	5001	177

prune65.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

90.8% (0.6b remaining)

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

bsearch99.0ms

Steps

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

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	23
1	33	23

end0.0ms

sample1.8s

Algorithm

intervals

Results

676.0ms	1545×	body	1280	valid
366.0ms	1412×	body	640	valid
211.0ms	4900×	body	80	valid
137.0ms	851×	body	320	valid
88.0ms	2963×	body	80	nan
46.0ms	446×	body	160	valid