Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	805×	body	80	nan
0.0hr	257×	body	80	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	20	6
1	48	6
2	118	6
3	247	6
4	525	6
5	732	6
6	937	6
7	1108	6
8	1128	6
9	1128	6

prune0.0hr

Filtered

1 candidates to 0 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: 0.1b

Counts

2 → 1

localize0.0hr

Local error

Found 4 expressions with local error:

0.0b	(- (* x (log y)) y)
0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (- (* x (log y)) y) z)
0.3b	(* x (log y))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

34×	`associate--l+`
27×	`log-prod`
25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-log-exp`
15×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-+l+`
9×	`pow1`
7×	`diff-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`associate-r` `distribute-lft-out`
3×	`associate-+r+` `associate-l` `sum-log` `log-pow` `distribute-lft-out--`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

0.0hr	(- (* x (log y)) y)
0.0hr	(+ (- (- (* x (log y)) y) z) (log t))
0.0hr	(- (- (* x (log y)) y) z)
0.0hr	(* x (log y))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(- (* x (log y)) y)
0.0hr	(+ (- (- (* x (log y)) y) z) (log t))
0.0hr	(- (- (* x (log y)) y) z)
0.0hr	(* x (log y))

simplify0.0hr

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	403	637
1	1259	592
2	4208	548
3	5002	548

prune0.0hr

Filtered

110 candidates to 76 candidates (30.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	107	4	111

Merged error: 0.0b

Counts

111 → 4

localize0.0hr

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

0.0hr	(* x (* 2 (log (cbrt y))))
0.0hr	(* x (log (cbrt y)))
0.0hr	(cbrt y)
0.0hr	(cbrt y)

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(* x (* 2 (log (cbrt y))))
0.0hr	(* x (log (cbrt y)))
0.0hr	(cbrt y)
0.0hr	(cbrt y)

simplify0.0hr

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	317	680
1	1171	607
2	4308	566
3	5001	542

prune0.0hr

Filtered

108 candidates to 62 candidates (42.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	108	4	112

Merged error: 0.0b

Counts

112 → 4

localize0.0hr

Local error

Found 4 expressions with local error:

0.1b	(sqrt (log y))
0.1b	(sqrt (log y))
0.1b	(* x (sqrt (log y)))
0.2b	(* (* x (sqrt (log y))) (sqrt (log y)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-sqr-sqrt` `sqrt-prod`
14×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-l` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

0.0hr	(sqrt (log y))
0.0hr	(sqrt (log y))
0.0hr	(* x (sqrt (log y)))
0.0hr	(* (* x (sqrt (log y))) (sqrt (log y)))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(sqrt (log y))
0.0hr	(sqrt (log y))
0.0hr	(* x (sqrt (log y)))
0.0hr	(* (* x (sqrt (log y))) (sqrt (log y)))

simplify0.0hr

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	171	398
1	739	348
2	1947	308
3	5002	305

prune0.0hr

Filtered

85 candidates to 46 candidates (45.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

localize0.0hr

Local error

Found 4 expressions with local error:

0.1b	(* x (sqrt (log y)))
0.2b	(* (* x (sqrt (log y))) (cbrt (pow (sqrt (log y)) 3)))
0.3b	(cbrt (pow (sqrt (log y)) 3))
0.4b	(pow (sqrt (log y)) 3)

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
30×	`associate-r`
29×	`sqrt-prod`
27×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
21×	`unpow-prod-down` `cube-prod`
20×	`pow1`
12×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`log-pow`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cube-mult` `pow-unpow` `pow-pow` `unpow3` `sqr-pow`
2×	`*-commutative` `unswap-sqr`
1×	`pow-to-exp` `sqrt-pow1` `pow1/2` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 124

Calls

4 calls:

0.0hr	(* x (sqrt (log y)))
0.0hr	(* (* x (sqrt (log y))) (cbrt (pow (sqrt (log y)) 3)))
0.0hr	(cbrt (pow (sqrt (log y)) 3))
0.0hr	(pow (sqrt (log y)) 3)

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(* x (sqrt (log y)))
0.0hr	(* (* x (sqrt (log y))) (cbrt (pow (sqrt (log y)) 3)))
0.0hr	(cbrt (pow (sqrt (log y)) 3))
0.0hr	(pow (sqrt (log y)) 3)

simplify0.0hr

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	329	713
1	1609	588
2	5002	527

prune0.0hr

Filtered

136 candidates to 58 candidates (57.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	136	5	141

Merged error: 0.0b

Counts

141 → 5

regimes0.0hr

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	24399×	body	80	nan
0.0hr	8028×	body	80	valid
0.0hr	1×	body	1280	valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

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