Details

sample76.0ms

Algorithm

intervals

Results

22.0ms	38×	body	1280	valid
19.0ms	54×	body	640	valid
10.0ms	150×	body	80	valid
7.0ms	26×	body	320	valid
4.0ms	84×	body	80	nan
3.0ms	19×	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	108	6
4	310	4
5	792	4
6	4192	4
7	5002	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ x (+ x y)) x) x)
0.0b	(/ x (+ x y))
6.3b	(pow (/ x (+ x y)) x)

rewrite43.0ms

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:

23.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
7.0ms	(pow (/ x (+ x y)) x)

series431.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(/ (pow (/ x (+ x y)) x) x)
58.0ms	(/ x (+ x y))
236.0ms	(pow (/ x (+ x y)) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 1 (16.0ms)

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

prune424.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.0b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.4b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
51×	`cbrt-prod`
48×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `pow-exp` `flip-+`
6×	`pow1` `pow-unpow` `distribute-lft-out`
5×	`div-exp`
4×	`expm1-log1p-u` `frac-times` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 124

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
12.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
15.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

384.0ms	(cbrt x)
174.0ms	(cbrt x)
269.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
287.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify66.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	708	1370
1	2244	1300
2	5002	1271

prune423.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
1.0b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.0b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.0b	(pow (/ (cbrt x) (cbrt (+ x y))) x)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

144×	`unpow-prod-down`
138×	`cbrt-prod`
126×	`times-frac`
125×	`*-un-lft-identity`
89×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`distribute-lft-out`
13×	`add-exp-log`
9×	`pow-unpow`
7×	`pow1`
6×	`cbrt-div` `pow-exp` `associate-/r/`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`
1×	`pow1/3`

Counts

4 → 208

Calls

4 calls:

0.0ms	(cbrt x)
12.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
12.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
12.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)

series974.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt x)
261.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
270.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
267.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)

simplify69.0ms

Algorithm

egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	471	2350
1	1543	2326
2	5002	2257

prune638.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (* -1 y)) x)

rewrite4.0ms

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:

3.0ms

(/ (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

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes59.0ms

Accuracy

97.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 5.7b

bsearch64.0ms

Steps

Iters	Range		Point
4	0.0019924046320714574	0.003211336228265424	0.003173244615884362
5	-1.2065450589787464e+41	-3.918237991634595e+40	-3.9722026627658497e+40

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	24
1	31	24

end0.0ms

sample2.5s

Algorithm

intervals

Results

880.0ms	1509×	body	1280	valid
534.0ms	1448×	body	640	valid
357.0ms	4885×	body	80	valid
204.0ms	812×	body	320	valid
151.0ms	2998×	body	80	nan
72.0ms	451×	body	160	valid