Details

sample74.0ms

Algorithm

intervals

Results

31.0ms	888×	body	80	nan
10.0ms	258×	body	80	valid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

19.0ms	(+ (- (- (* x (log y)) y) z) (log t))
8.0ms	(- (* x (log y)) y)
12.0ms	(- (- (* x (log y)) y) z)
5.0ms	(* x (log y))

series178.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (- (- (* x (log y)) y) z) (log t))
59.0ms	(- (* x (log y)) y)
33.0ms	(- (- (* x (log y)) y) z)
39.0ms	(* x (log y))

simplify110.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	391	697
1	1225	662
2	4381	626
3	5001	626

prune210.0ms

Filtered

124 candidates to 80 candidates (64.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	120	4	124
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	120	5	125

Merged error: 0.0b

Counts

125 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
31.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series576.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* x (log (cbrt y)))
101.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
174.0ms	(cbrt y)
202.0ms	(cbrt y)

simplify71.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	398	823
1	1899	687
2	5003	649

prune356.0ms

Filtered

137 candidates to 102 candidates (74.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	137	5	142

Merged error: 0b

Counts

142 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (pow y 1/3)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

52×	`log-prod`
40×	`*-un-lft-identity`
38×	`distribute-rgt-in` `distribute-lft-in`
30×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
24×	`associate-+l+`
23×	`associate-r`
15×	`cbrt-prod` `unpow-prod-down`
14×	`associate-+r+`
13×	`associate-l`
12×	`pow1` `log-pow`
11×	`distribute-lft-out`
7×	`add-exp-log`
6×	`pow-unpow` `add-cbrt-cube` `add-log-exp`
5×	`sqr-pow`
3×	`distribute-rgt-out` `pow-pow` `pow1/3` `*-commutative`
1×	`+-commutative` `pow-to-exp` `flip3-+` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

9.0ms	(* x (log (pow y 1/3)))
32.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series592.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* x (log (pow y 1/3)))
146.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
184.0ms	(cbrt y)
177.0ms	(pow y 1/3)

simplify79.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	472	850
1	2078	713
2	5001	674

prune399.0ms

Filtered

142 candidates to 103 candidates (72.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	142	5	147

Merged error: 0b

Counts

147 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (cbrt y))
0.0b	(- (- (* (log (cbrt y)) (* x 3)) y) z)
0.4b	(* (log (cbrt y)) (* x 3))
0.6b	(cbrt y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`associate-r`
12×	`pow1`
11×	`add-cube-cbrt`
10×	`add-exp-log` `associate-l`
9×	`add-cbrt-cube` `add-log-exp`
7×	`distribute-lft-out--`
6×	`cbrt-prod` `log-prod`
5×	`log-pow`
4×	`unswap-sqr`
3×	`pow1/3` `diff-log` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate--l+` `*-commutative`
1×	`associate--l-` `flip3--` `rem-log-exp` `flip--` `difference-of-squares`

Counts

4 → 81

Calls

4 calls:

2.0ms	(log (cbrt y))
19.0ms	(- (- (* (log (cbrt y)) (* x 3)) y) z)
9.0ms	(* (log (cbrt y)) (* x 3))
1.0ms	(cbrt y)

series649.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(log (cbrt y))
69.0ms	(- (- (* (log (cbrt y)) (* x 3)) y) z)
132.0ms	(* (log (cbrt y)) (* x 3))
183.0ms	(cbrt y)

simplify43.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	295	526
1	1201	474
2	5001	449

prune196.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	93	5	98

Merged error: 0b

Counts

98 → 5

regimes231.0ms

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	23	12
1	23	12

end0.0ms

sample2.0s

Algorithm

intervals

Results

845.0ms	24791×	body	80	nan
331.0ms	8027×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid