Details

sample178.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 97.668457%

Results

5.0ms	234×	body	80	valid
1.0ms	3×	body	2560	valid
1.0ms	7×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	160	valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

8.0ms

(+ x (/ (- x y) 2.0))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(+ x (/ (- x y) 2.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	81
1	242	74
2	704	74
3	3412	74
4	5001	74

prune32.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	12	4	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	5	17

Merged error: 0.0b

Counts

17 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

22.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
7.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
40.0ms	(cbrt (+ x (/ (- x y) 2.0)))
42.0ms	(cbrt (+ x (/ (- x y) 2.0)))
40.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	263	1109
1	751	1044
2	2594	956
3	5001	938

prune207.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	105	7	112

Merged error: 0.0b

Counts

112 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.9b	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
26×	`cbrt-div`
17×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`unpow-prod-down`
8×	`flip3-+` `flip-+`
5×	`pow1` `add-exp-log`
4×	`frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `distribute-lft-out`
2×	`pow-pow` `associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
18.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
8.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
10.0ms	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

series214.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt (+ x (/ (- x y) 2.0)))
49.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
43.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
82.0ms	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

simplify124.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	440	1001
1	1162	934
2	4028	903
3	5001	889

prune259.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

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

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.9b	(pow (cbrt (cbrt (cbrt (+ x (/ (- x y) 2.0))))) 4)
1.4b	(pow (cbrt (cbrt (cbrt (+ x (/ (- x y) 2.0))))) 8)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
26×	`unpow-prod-down` `*-un-lft-identity`
18×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`cbrt-div`
6×	`pow1` `add-exp-log` `pow-unpow`
4×	`pow-pow` `pow1/3` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
2×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+` `sqr-pow`

Counts

4 → 90

Calls

4 calls:

8.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
8.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
14.0ms	(pow (cbrt (cbrt (cbrt (+ x (/ (- x y) 2.0))))) 4)
11.0ms	(pow (cbrt (cbrt (cbrt (+ x (/ (- x y) 2.0))))) 8)

series269.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
39.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
83.0ms	(pow (cbrt (cbrt (cbrt (+ x (/ (- x y) 2.0))))) 4)
105.0ms	(pow (cbrt (cbrt (cbrt (+ x (/ (- x y) 2.0))))) 8)

simplify155.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	495	1146
1	1411	1091
2	4996	1040
3	5001	1040

prune397.0ms

Filtered

74 candidates to 102 candidates (-37.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

regimes179.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample569.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 97.668457%

Results

168.0ms	7388×	body	80	valid
24.0ms	237×	body	1280	valid
11.0ms	100×	body	2560	valid
10.0ms	135×	body	640	valid
6.0ms	101×	body	320	valid
2.0ms	39×	body	160	valid
0.0ms	1×	body	80	invalid

Details

sample178.0ms

simplify18.0ms

prune3.0ms

localize5.0ms

rewrite8.0ms

series5.0ms

simplify75.0ms

prune32.0ms

localize8.0ms

rewrite48.0ms

series170.0ms

simplify69.0ms

prune207.0ms

localize16.0ms

rewrite48.0ms

series214.0ms

simplify124.0ms

prune259.0ms

localize22.0ms

rewrite45.0ms

series269.0ms

simplify155.0ms

prune397.0ms

regimes179.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample569.0ms

Profiling