Details

sample43.0ms

Algorithm

intervals

Results

10.0ms	225×	body	80	valid
8.0ms	20×	body	1280	valid
6.0ms	23×	body	640	valid
3.0ms	82×	body	80	nan
3.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (31.0ms)

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

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 3.4b

Counts

2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(exp (* y (log (/ y (+ z y)))))
0.1b	(* y (log (/ y (+ z y))))
9.8b	(log (/ y (+ z y)))

rewrite34.0ms

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:

5.0ms	(/ y (+ z y))
7.0ms	(exp (* y (log (/ y (+ z y)))))
8.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ y (+ z y))
222.0ms	(exp (* y (log (/ y (+ z y)))))
74.0ms	(* y (log (/ y (+ z y))))
53.0ms	(log (/ y (+ z y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (46.0ms)

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

prune317.0ms

Filtered

183 candidates to 108 candidates (59.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	183	2	185

Merged error: 0.0b

Counts

185 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
0.0b	(/ y (+ z y))
0.0b	(pow (exp y) (log (/ y (+ z y))))
9.8b	(log (/ y (+ z y)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
36×	`log-prod` `times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-up`
11×	`distribute-lft-out`
9×	`add-exp-log`
7×	`pow1`
6×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `pow-unpow` `pow-pow` `flip3-+` `associate-/r*` `flip-+` `log1p-expm1-u`
3×	`unpow-prod-down` `exp-prod` `fma-def` `div-inv` `associate-/l*`
2×	`log-div` `div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `sum-log` `pow-sub` `sqr-pow`

Counts

4 → 125

Calls

4 calls:

26.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
5.0ms	(/ y (+ z y))
8.0ms	(pow (exp y) (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
38.0ms	(/ y (+ z y))
140.0ms	(pow (exp y) (log (/ y (+ z y))))
47.0ms	(log (/ y (+ z y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	525	945
1	1814	900
2	5001	883

prune326.0ms

Filtered

137 candidates to 101 candidates (73.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	137	2	139

Merged error: 0.0b

Counts

139 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

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

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 z)) y)

series23.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (12.0ms)

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

prune56.0ms

Filtered

33 candidates to 25 candidates (75.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	33	2	35

Merged error: 0.0b

Counts

35 → 2

regimes48.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

327.0ms	743×	body	1280	valid
299.0ms	6506×	body	80	valid
232.0ms	902×	body	640	valid
106.0ms	595×	body	320	valid
99.0ms	2911×	body	80	nan
31.0ms	299×	body	160	valid