Details

sample45.0ms

Algorithm

intervals

Results

11.0ms	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

simplify121.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	109	7
4	307	7
5	777	7
6	4145	7
7	5002	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 5.9b

Counts

2 → 1

localize11.0ms

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)))

rewrite40.0ms

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×	`associate-r` `associate-/r*`
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 → 163

Calls

4 calls:

5.0ms	(/ y (+ z y))
12.0ms	(exp (* y (log (/ y (+ z y)))))
9.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series438.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ y (+ z y))
248.0ms	(exp (* y (log (/ y (+ z y)))))
88.0ms	(* y (log (/ y (+ z y))))
59.0ms	(log (/ y (+ z y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	524	1242
1	2038	1155
2	5003	1146

prune357.0ms

Filtered

175 candidates to 100 candidates (57.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	173	2	175
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	174	2	176

Merged error: 0.0b

Counts

176 → 2

localize17.0ms

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

54×	`*-un-lft-identity`
36×	`log-prod` `times-frac`
32×	`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×	`pow-unpow` `pow-pow` `flip3-+` `associate-/r*` `flip-+`
3×	`unpow-prod-down` `exp-prod` `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 → 114

Calls

4 calls:

24.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
6.0ms	(/ y (+ z y))
8.0ms	(pow (exp y) (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series370.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
49.0ms	(/ y (+ z y))
157.0ms	(pow (exp y) (log (/ y (+ z y))))
57.0ms	(log (/ y (+ z y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	508	904
1	1744	861
2	5002	842

prune327.0ms

Filtered

126 candidates to 90 candidates (71.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	126	2	128

Merged error: 0.0b

Counts

128 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:

5.0ms

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

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify65.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (15.0ms)

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

prune65.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	31	2	33

Merged error: 0.0b

Counts

33 → 2

regimes48.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify1.0ms

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

341.0ms	743×	body	1280	valid
321.0ms	6506×	body	80	valid
241.0ms	902×	body	640	valid
105.0ms	595×	body	320	valid
99.0ms	2911×	body	80	nan
33.0ms	299×	body	160	valid