Details

sample48.0ms

Algorithm

intervals

Results

11.0ms	25×	body	1280	valid
10.0ms	202×	body	80	valid
9.0ms	36×	body	640	valid
3.0ms	93×	body	80	nan
2.0ms	15×	body	320	valid
0.0ms	4×	body	160	valid

simplify111.0ms

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: 6.3b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
41×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`distribute-lft-out`
11×	`add-exp-log`
8×	`pow1` `associate-/r/` `add-cbrt-cube`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-r` `associate-/r*` `div-inv`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 129

Calls

4 calls:

30.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
8.0ms	(/ y (+ z y))
8.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
38.0ms	(/ y (+ z y))
75.0ms	(* y (log (/ y (+ z y))))
51.0ms	(log (/ y (+ z y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	381	1006
1	1513	928
2	5001	904

prune277.0ms

Filtered

141 candidates to 90 candidates (63.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	138	3	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	3	142

Merged error: 0.0b

Counts

142 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.2b	(log (/ (cbrt y) (cbrt (+ z y))))
2.2b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod` `log-prod`
84×	`*-un-lft-identity` `times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`cbrt-div` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 140

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
7.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series479.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt y)
168.0ms	(cbrt y)
70.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
73.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify75.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	310	1470
1	757	1424
2	2327	1392
3	5001	1324

prune465.0ms

Filtered

152 candidates to 102 candidates (67.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	152	3	155

Merged error: 0.0b

Counts

155 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1`
1×	`cbrt-undiv` `+-commutative` `exp-neg` `frac-2neg` `mul-1-neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `associate-/l/` `distribute-lft-out`

Counts

2 → 40

Calls

2 calls:

5.0ms	(+ x (/ (exp (* -1 z)) y))
4.0ms	(/ (exp (* -1 z)) y)

series44.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ x (/ (exp (* -1 z)) y))
23.0ms	(/ (exp (* -1 z)) y)

simplify62.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	176	274
1	464	258
2	2001	256
3	5002	256

prune79.0ms

Filtered

46 candidates to 35 candidates (76.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	46	3	49

Merged error: 0.0b

Counts

49 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ 1 y) (log y))
0.1b	(- (+ x (+ (/ 1 y) (log y))) (log z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
22×	`distribute-lft-out`
14×	`pow1`
12×	`log-pow` `distribute-lft-out--`
8×	`add-log-exp`
6×	`add-sqr-sqrt` `log-prod` `div-inv`
4×	`add-cube-cbrt` `sum-log`
3×	`associate-+r+` `diff-log` `associate--r+`
2×	`add-exp-log` `add-cbrt-cube`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

7.0ms	(+ (/ 1 y) (log y))
18.0ms	(- (+ x (+ (/ 1 y) (log y))) (log z))

series222.0ms

Counts

2 → 6

Calls

2 calls:

185.0ms	(+ (/ 1 y) (log y))
37.0ms	(- (+ x (+ (/ 1 y) (log y))) (log z))

simplify81.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	239	379
1	731	348
2	4181	341
3	5002	338

prune80.0ms

Filtered

55 candidates to 30 candidates (54.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	55	3	58

Merged error: 0.0b

Counts

58 → 3

regimes53.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	16
1	20	16

end0.0ms

sample1.4s

Algorithm

intervals

Results

322.0ms	745×	body	1280	valid
303.0ms	6633×	body	80	valid
245.0ms	924×	body	640	valid
100.0ms	3003×	body	80	nan
99.0ms	598×	body	320	valid
30.0ms	295×	body	160	valid