Details

sample63.0ms

Algorithm

intervals

Results

24.0ms	55×	body	1280	valid
11.0ms	48×	body	640	valid
6.0ms	144×	body	80	valid
4.0ms	23×	body	320	valid
2.0ms	91×	body	80	nan
2.0ms	16×	body	160	valid

simplify110.0ms

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	106	6
4	304	4
5	774	4
6	4142	4
7	5001	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (exp (* x (log (/ x (+ x y))))) x)
0.1b	(* x (log (/ x (+ x y))))
6.2b	(log (/ x (+ x y)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
203×	`*-un-lft-identity`
198×	`log-prod`
144×	`exp-sum`
139×	`add-sqr-sqrt`
137×	`add-cube-cbrt`
90×	`distribute-rgt-in` `distribute-lft-in`
39×	`associate-/l*`
33×	`distribute-lft-out`
22×	`associate-/r/`
12×	`div-inv`
11×	`flip3-+` `flip-+`
9×	`add-exp-log`
7×	`pow1` `add-cbrt-cube`
4×	`associate-r`
3×	`associate-l` `associate-/r*` `add-log-exp`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 255

Calls

3 calls:

53.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
19.0ms	(* x (log (/ x (+ x y))))
7.0ms	(log (/ x (+ x y)))

series263.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
79.0ms	(* x (log (/ x (+ x y))))
56.0ms	(log (/ x (+ x y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

264 → 264

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	783	2883
1	2409	2464
2	5001	2451

prune464.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
4.5b	(pow (/ x (+ x y)) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`unpow-prod-down`
16×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3` `distribute-lft-out`
2×	`pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
13.0ms	(pow (/ x (+ x y)) x)

series775.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
180.0ms	(cbrt x)
183.0ms	(cbrt x)
233.0ms	(pow (/ x (+ x y)) x)

simplify158.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	298	366
1	1070	349
2	4942	339
3	5001	339

prune194.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:

9.0ms

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

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify50.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (12.0ms)

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

prune56.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes65.0ms

Accuracy

96.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 9.3b

bsearch74.0ms

Steps

Iters	Range		Point
8	9.180403440793369e-05	0.024130789021135513	0.02388541996603257
9	-2.3564205176291086e+19	-30503464133.596928	-33968180357.56146

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	9
1	25	9

end0.0ms

sample1.8s

Algorithm

intervals

Results

640.0ms	1513×	body	1280	valid
345.0ms	1410×	body	640	valid
206.0ms	4967×	body	80	valid
122.0ms	795×	body	320	valid
90.0ms	3107×	body	80	nan
43.0ms	453×	body	160	valid