Details

sample50.0ms

Algorithm

intervals

Results

10.0ms	218×	body	80	valid
9.0ms	34×	body	640	valid
8.0ms	18×	body	1280	valid
6.0ms	23×	body	320	valid
3.0ms	83×	body	80	nan
1.0ms	11×	body	160	valid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (30.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	111	7
4	314	7
5	801	7
6	4217	6
7	5001	6

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* y (log (/ y (+ z y)))))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
8.5b	(log (/ y (+ z y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
90×	`log-prod`
72×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
19×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `exp-to-pow` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 171

Calls

4 calls:

10.0ms	(exp (* y (log (/ y (+ z y)))))
5.0ms	(/ y (+ z y))
11.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(exp (* y (log (/ y (+ z y)))))
40.0ms	(/ y (+ z y))
78.0ms	(* y (log (/ y (+ z y))))
52.0ms	(log (/ y (+ z y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	538	1275
1	2098	1187
2	5001	1177

prune384.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (exp y) (log (/ y (+ z y)))) y)
0.0b	(/ y (+ z y))
0.1b	(pow (exp y) (log (/ y (+ z y))))
8.5b	(log (/ y (+ z y)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
142×	`*-un-lft-identity`
108×	`log-prod`
98×	`add-sqr-sqrt` `add-cube-cbrt`
90×	`unpow-prod-up`
28×	`associate-/l*`
22×	`distribute-lft-out`
15×	`unpow-prod-down`
14×	`associate-/r/`
13×	`add-exp-log`
8×	`add-cbrt-cube` `div-inv`
7×	`pow1` `flip3-+` `associate-/r*` `flip-+`
5×	`div-exp` `sqr-pow`
4×	`expm1-log1p-u` `pow-unpow` `pow-pow` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `exp-prod`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `rem-log-exp` `pow-exp` `clear-num` `log-pow` `pow-sub`
1×	`associate-/l/`

Counts

4 → 228

Calls

4 calls:

19.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
5.0ms	(/ y (+ z y))
6.0ms	(pow (exp y) (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
40.0ms	(/ y (+ z y))
142.0ms	(pow (exp y) (log (/ y (+ z y))))
53.0ms	(log (/ y (+ z y)))

simplify80.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	686	2318
1	2867	2267
2	5002	2230

prune704.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
8.5b	(log (/ y (+ z y)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`log-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `distribute-lft-out`
2×	`rem-log-exp` `associate-/r/`
1×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 70

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
4.0ms	(log (/ y (+ z y)))

series589.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt y)
181.0ms	(cbrt y)
176.0ms	(cbrt y)
50.0ms	(log (/ y (+ z y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	194	335
1	435	313
2	1273	298
3	5002	293

prune290.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

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 z)) y)

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify47.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	117	194
1	313	180
2	1514	177
3	5001	177

prune77.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	12
1	16	12

end0.0ms

sample1.4s

Algorithm

intervals

Results

343.0ms	782×	body	1280	valid
301.0ms	6526×	body	80	valid
252.0ms	959×	body	640	valid
97.0ms	2993×	body	80	nan
87.0ms	513×	body	320	valid
32.0ms	304×	body	160	valid