Details

analyze248.0ms

Algorithm: search

sample29.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
0.0ms	12×	body	80	nan
0.0ms	4×	body	80	invalid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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:

12.0ms	(+ (- (- (* x (log y)) y) z) (log t))
7.0ms	(- (- (* x (log y)) y) z)
4.0ms	(- (* x (log y)) y)
4.0ms	(* x (log y))

series40.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (- (- (* x (log y)) y) z) (log t))
11.0ms	(- (- (* x (log y)) y) z)
9.0ms	(- (* x (log y)) y)
7.0ms	(* x (log y))

simplify94.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (29.0ms)

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

prune127.0ms

Filtered

76 candidates to 110 candidates (-44.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	104	6	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	7	111

Merged error: 0.0b

Counts

111 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series86.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (cbrt y) (cbrt y))
21.0ms	(cbrt y)
20.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify74.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune107.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (log y)) (cbrt (log y)))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

8.0ms	(* (cbrt (log y)) (cbrt (log y)))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))

series140.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (cbrt (log y)) (cbrt (log y)))
36.0ms	(cbrt (log y))
33.0ms	(cbrt (log y))
33.0ms	(cbrt (log y))

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	127	502
1	388	461
2	1756	389
3	5001	367

prune101.0ms

Filtered

52 candidates to 93 candidates (-78.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	91	9	100

Merged error: 0b

Counts

100 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x (cbrt (pow (log y) 2))) (cbrt (log y)))
0.5b	(cbrt (pow (log y) 2))
0.5b	(cbrt (log y))
0.5b	(pow (log y) 2)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`cbrt-prod`
14×	`pow1`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
8×	`unpow-prod-down`
7×	`associate-r`
6×	`add-cbrt-cube`
4×	`log-pow` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 70

Calls

4 calls:

7.0ms	(* (* x (cbrt (pow (log y) 2))) (cbrt (log y)))
2.0ms	(cbrt (pow (log y) 2))
1.0ms	(cbrt (log y))
2.0ms	(pow (log y) 2)

series94.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* x (cbrt (pow (log y) 2))) (cbrt (log y)))
38.0ms	(cbrt (pow (log y) 2))
33.0ms	(cbrt (log y))
16.0ms	(pow (log y) 2)

simplify160.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (152.0ms)

Iter	Nodes	Cost
0	243	460
1	914	401
2	4573	354
3	5001	353

prune89.0ms

Filtered

44 candidates to 82 candidates (-86.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	3	2	5
Picked	0	1	1
Done	0	3	3
Total	83	8	91

Merged error: 0b

Counts

91 → 8

regimes695.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

analyze234.0ms

Algorithm: search

sample637.0ms

Algorithm

intervals

Results

421.0ms	7999×	body	80	valid
15.0ms	371×	body	80	nan
1.0ms	25×	body	80	invalid
0.0ms	1×	body	640	valid

Details

analyze248.0ms

sample29.0ms

simplify31.0ms

prune5.0ms

localize11.0ms

rewrite30.0ms

series40.0ms

simplify94.0ms

prune127.0ms

localize18.0ms

rewrite11.0ms

series86.0ms

simplify74.0ms

prune107.0ms

localize14.0ms

rewrite14.0ms

series140.0ms

simplify63.0ms

prune101.0ms

localize16.0ms

rewrite15.0ms

series94.0ms

simplify160.0ms

prune89.0ms

regimes695.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze234.0ms

sample637.0ms

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