Details

sample420.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 49.975693%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

9.0ms

256×

body

valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	41	4
3	52	4
4	85	4
5	106	4
6	141	4
7	215	4
8	236	4
9	236	4

prune3.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.0b	(- (* x (log y)) z)
0.2b	(* x (log y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

7.0ms	(- (- (* x (log y)) z) y)
4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series27.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(- (- (* x (log y)) z) y)
11.0ms	(- (* x (log y)) z)
8.0ms	(* x (log y))

simplify58.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	278	385
1	810	356
2	2394	328
3	5001	328

prune76.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	4	77

Merged error: 0.0b

Counts

77 → 4

localize12.0ms

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)

rewrite21.0ms

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)

series89.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (log (cbrt y)))
21.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
24.0ms	(cbrt y)
23.0ms	(cbrt y)

simplify47.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (39.0ms)

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

prune130.0ms

Filtered

87 candidates to 114 candidates (-31.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	113	5	118

Merged error: 0b

Counts

118 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (pow y 1/3)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

5.0ms	(* x (log (pow y 1/3)))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series90.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* x (log (pow y 1/3)))
28.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
24.0ms	(cbrt y)
20.0ms	(pow y 1/3)

simplify66.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	460	798
1	1882	686
2	5002	512

prune178.0ms

Filtered

89 candidates to 124 candidates (-39.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	124	5	129

Merged error: 0b

Counts

129 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
11.0ms	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series92.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (log (cbrt y)))
30.0ms	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
22.0ms	(cbrt y)
20.0ms	(pow y 1/3)

simplify64.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	492	803
1	1911	693
2	5001	507

prune169.0ms

Filtered

90 candidates to 125 candidates (-38.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	125	5	130

Merged error: 0b

Counts

130 → 5

regimes221.0ms

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	19	10
1	19	10

end0.0ms

sample876.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 49.975693%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

290.0ms	8000×	body	80	valid
1.0ms	35×	body	80	invalid
0.0ms	17×	body	80	nan

Details

sample420.0ms

simplify15.0ms

prune3.0ms

localize7.0ms

rewrite18.0ms

series27.0ms

simplify58.0ms

prune76.0ms

localize12.0ms

rewrite21.0ms

series89.0ms

simplify47.0ms

prune130.0ms

localize20.0ms

rewrite23.0ms

series90.0ms

simplify66.0ms

prune178.0ms

localize22.0ms

rewrite24.0ms

series92.0ms

simplify64.0ms

prune169.0ms

regimes221.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample876.0ms

Profiling