Details

sample104.0ms

Algorithm

intervals

Results

35.0ms	811×	body	80	nan
14.0ms	257×	body	80	valid

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

prune4.0ms

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

localize13.0ms

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))

rewrite32.0ms

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)
5.0ms	(* x (log y))

series38.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (- (- (* x (log y)) y) z) (log t))
8.0ms	(- (- (* x (log y)) y) z)
10.0ms	(- (* x (log y)) y)
7.0ms	(* x (log y))

simplify90.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (28.0ms)

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

prune106.0ms

Filtered

110 candidates to 76 candidates (30.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	5	111

Merged error: 0.0b

Counts

111 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series86.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (log (cbrt y)))
24.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
21.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify48.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	362	765
1	1356	673
2	5002	593

prune149.0ms

Filtered

114 candidates to 87 candidates (23.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	109	5	114
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	113	6	119

Merged error: 0b

Counts

119 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
0.3b	(* x 1/3)
0.3b	(* (* x 1/3) (log y))
0.6b	(cbrt y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`associate-+l+`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`associate-+r+` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative`
1×	`+-commutative` `flip3-+` `pow1/3` `sum-log` `log-pow` `flip-+` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
4.0ms	(* x 1/3)
6.0ms	(* (* x 1/3) (log y))
2.0ms	(cbrt y)

series64.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
2.0ms	(* x 1/3)
8.0ms	(* (* x 1/3) (log y))
25.0ms	(cbrt y)

simplify64.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	414	690
1	1898	604
2	5001	562

prune143.0ms

Filtered

107 candidates to 80 candidates (25.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	108	5	113

Merged error: 0b

Counts

113 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (cbrt y))
0.3b	(* x (* 3 (log (cbrt y))))
0.3b	(* 3 (log (cbrt y)))
0.6b	(cbrt y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

2.0ms	(log (cbrt y))
6.0ms	(* x (* 3 (log (cbrt y))))
5.0ms	(* 3 (log (cbrt y)))
1.0ms	(cbrt y)

series121.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(log (cbrt y))
20.0ms	(* x (* 3 (log (cbrt y))))
41.0ms	(* 3 (log (cbrt y)))
22.0ms	(cbrt y)

simplify136.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	289	704
1	995	625
2	4521	589
3	5002	528

prune93.0ms

Filtered

113 candidates to 65 candidates (42.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0b

Counts

118 → 5

regimes543.0ms

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

sample2.9s

Algorithm

intervals

Results

1.1s	24204×	body	80	nan
437.0ms	8037×	body	80	valid

Details

sample104.0ms

simplify31.0ms

prune4.0ms

localize13.0ms

rewrite32.0ms

series38.0ms

simplify90.0ms

prune106.0ms

localize18.0ms

rewrite22.0ms

series86.0ms

simplify48.0ms

prune149.0ms

localize20.0ms

rewrite25.0ms

series64.0ms

simplify64.0ms

prune143.0ms

localize14.0ms

rewrite19.0ms

series121.0ms

simplify136.0ms

prune93.0ms

regimes543.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.9s

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