Details

sample429.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 24.609375%

Guaranteed chance to sample good point: 97.927461%

Results

6.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	38	3
3	47	3
4	47	3

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: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

2.0ms	(- 1.0 (* x y))
5.0ms	(* x (- 1.0 (* x y)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(- 1.0 (* x y))
6.0ms	(* x (- 1.0 (* x y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	138	190
1	581	168
2	3052	168
3	5001	168

prune60.0ms

Filtered

26 candidates to 42 candidates (-61.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	35	7	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	7	43

Merged error: 0.0b

Counts

43 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (neg (* x y))))
0.2b	(* x (neg (* x y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `distribute-rgt-neg-out`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* x (neg (* x y))))
5.0ms	(* x (neg (* x y)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x 1.0) (* x (neg (* x y))))
4.0ms	(* x (neg (* x y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	181	210
1	1035	183
2	5001	179

prune57.0ms

Filtered

32 candidates to 42 candidates (-31.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	43	6	49

Merged error: 0.0b

Counts

49 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

8.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
39.0ms	(cbrt (- 1.0 (* x y)))
37.0ms	(cbrt (- 1.0 (* x y)))
38.0ms	(cbrt (- 1.0 (* x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	352	1100
1	1356	1049
2	5002	988

prune232.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
10×	`cbrt-prod`
9×	`flip3--` `flip--`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 56

Calls

4 calls:

2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
7.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

series163.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt (- 1.0 (* x y)))
37.0ms	(cbrt (- 1.0 (* x y)))
37.0ms	(cbrt (- 1.0 (* x y)))
49.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

simplify38.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	337	897
1	1119	859
2	5001	835

prune241.0ms

Filtered

61 candidates to 68 candidates (-11.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	68	7	75

Merged error: 0.0b

Counts

75 → 7

regimes152.0ms

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	18	5
1	23	5
2	24	5
3	24	5

end0.0ms

sample800.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 24.609375%

Guaranteed chance to sample good point: 97.927461%

Results

182.0ms	8000×	body	80	valid
1.0ms	57×	body	80	invalid

Details

sample429.0ms

simplify7.0ms

prune2.0ms

localize7.0ms

rewrite9.0ms

series10.0ms

simplify90.0ms

prune60.0ms

localize6.0ms

rewrite9.0ms

series10.0ms

simplify42.0ms

prune57.0ms

localize9.0ms

rewrite19.0ms

series162.0ms

simplify49.0ms

prune232.0ms

localize14.0ms

rewrite15.0ms

series163.0ms

simplify38.0ms

prune241.0ms

regimes152.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample800.0ms

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