Details

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 64.84375%

Guaranteed chance to sample good point: 47.638889%

Results

14.0ms	256×	body	80	valid
5.0ms	101×	body	80	nan
0.0ms	1×	body	80	invalid

simplify28.0ms

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

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) 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:

14.0ms	(+ (- (- (* 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))

series37.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (- (- (* 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))

simplify88.0ms

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

prune113.0ms

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

localize15.0ms

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)

rewrite23.0ms

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)))
12.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series83.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* x (log (cbrt y)))
20.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
20.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify49.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (40.0ms)

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

prune144.0ms

Filtered

87 candidates to 114 candidates (-31.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	115	6	121

Merged error: 0b

Counts

121 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (* (cbrt y) (cbrt y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt (cbrt y))
4.0ms	(cbrt (* (cbrt y) (cbrt y)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
31.0ms	(cbrt (cbrt y))
33.0ms	(cbrt (* (cbrt y) (cbrt y)))

simplify216.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	147	266
1	289	242
2	847	200
3	4355	187
4	5001	187

prune95.0ms

Filtered

45 candidates to 57 candidates (-26.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	57	6	63

Merged error: 0b

Counts

63 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
19×	`add-sqr-sqrt`
18×	`log-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-prod`
9×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1/3` `add-log-exp`
3×	`associate-l`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

5.0ms	(* x (log (cbrt (sqrt y))))
1.0ms	(cbrt y)
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series66.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* x (log (cbrt (sqrt y))))
20.0ms	(cbrt y)
15.0ms	(cbrt (sqrt y))
15.0ms	(cbrt (sqrt y))

simplify140.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 3 (133.0ms)

Iter	Nodes	Cost
0	288	553
1	1005	504
2	4693	463
3	5001	444

prune86.0ms

Filtered

57 candidates to 89 candidates (-56.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	89	6	95

Merged error: 0b

Counts

95 → 6

regimes596.0ms

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

sample2.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 64.84375%

Guaranteed chance to sample good point: 47.638889%

Results

443.0ms	7998×	body	80	valid
154.0ms	3166×	body	80	nan
1.0ms	24×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

sample1.2s

simplify28.0ms

prune4.0ms

localize10.0ms

rewrite32.0ms

series37.0ms

simplify88.0ms

prune113.0ms

localize15.0ms

rewrite23.0ms

series83.0ms

simplify49.0ms

prune144.0ms

localize26.0ms

rewrite9.0ms

series107.0ms

simplify216.0ms

prune95.0ms

localize21.0ms

rewrite14.0ms

series66.0ms

simplify140.0ms

prune86.0ms

regimes596.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling