Details

analyze3.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 24.990867%

Guaranteed chance to sample good point: 99.9878%

sample9.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune2.0ms

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: 0.5b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ 1.0 (* x x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ 1.0 (* x x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ 1.0 (* x x))

simplify91.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	99	86
1	320	71
2	952	71
3	4497	71
4	5001	71

prune33.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0.1b

Counts

25 → 4

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (/ 1.0 x) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/ (/ 1.0 x) x)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ (/ 1.0 x) x)

simplify35.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	311	449
1	1180	415
2	5002	406

prune86.0ms

Filtered

50 candidates to 73 candidates (-46.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	70	7	77

Merged error: 0.0b

Counts

77 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))

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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(* (cbrt x) (cbrt x))

series94.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt x)
24.0ms	(cbrt x)
22.0ms	(cbrt x)
25.0ms	(* (cbrt x) (cbrt x))

simplify76.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	148	349
1	479	322
2	2283	265
3	5001	252

prune73.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
0.6b	(cbrt (/ 1.0 x))
0.6b	(cbrt (/ 1.0 x))
0.6b	(cbrt (/ 1.0 x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

12.0ms	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
2.0ms	(cbrt (/ 1.0 x))
2.0ms	(cbrt (/ 1.0 x))
2.0ms	(cbrt (/ 1.0 x))

series102.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
26.0ms	(cbrt (/ 1.0 x))
24.0ms	(cbrt (/ 1.0 x))
23.0ms	(cbrt (/ 1.0 x))

simplify145.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	277	1114
1	931	1076
2	4965	996
3	5002	996

prune278.0ms

Filtered

119 candidates to 156 candidates (-31.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	156	8	164

Merged error: 0.0b

Counts

164 → 8

regimes153.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2

end0.0ms

analyze3.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 24.990867%

Guaranteed chance to sample good point: 99.9878%

sample212.0ms

Algorithm

intervals

Results

132.0ms

8000×

body

valid

Details

analyze3.0ms

sample9.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite5.0ms

series3.0ms

simplify91.0ms

prune33.0ms

localize3.0ms

rewrite9.0ms

series3.0ms

simplify35.0ms

prune86.0ms

localize7.0ms

rewrite11.0ms

series94.0ms

simplify76.0ms

prune73.0ms

localize9.0ms

rewrite25.0ms

series102.0ms

simplify145.0ms

prune278.0ms

regimes153.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample212.0ms

Profiling