Details

analyze103.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 12.195185%

Guaranteed chance to sample good point: 98.024306%

sample20.0ms

Algorithm

intervals

Results

4.0ms	173×	body	80	valid
3.0ms	35×	body	640	valid
2.0ms	14×	body	1280	valid
1.0ms	18×	body	320	valid
1.0ms	16×	body	160	valid
0.0ms	2×	body	80	invalid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	27	4
2	78	4
3	245	4
4	634	4
5	1081	4
6	2442	4
7	4046	4
8	5001	4

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: 19.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
4.1b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `frac-times` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

9.0ms	(* (- 1.0 x) (- 1.0 y))
4.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (- 1.0 x) (- 1.0 y))
5.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	276	312
1	1146	296
2	5001	296

prune73.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	1	56

Merged error: 0.0b

Counts

56 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x y) 1.0)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+ (* x y) 1.0)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(+ (* x y) 1.0)

simplify153.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	80	57
1	227	52
2	594	51
3	1611	51
4	4670	51
5	5001	51

prune18.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) 1.0)
1.4b	(exp (log (+ (* x y) 1.0)))
4.1b	(log (+ (* x y) 1.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`pow1` `add-log-exp`
4×	`add-exp-log` `log-div` `exp-prod`
3×	`flip3-+` `exp-sum` `add-cbrt-cube` `flip-+`
2×	`exp-diff` `log-pow`
1×	`+-commutative` `rem-log-exp` `sum-log` `rem-exp-log`

Counts

3 → 42

Calls

3 calls:

4.0ms	(+ (* x y) 1.0)
5.0ms	(exp (log (+ (* x y) 1.0)))
4.0ms	(log (+ (* x y) 1.0))

series24.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ (* x y) 1.0)
4.0ms	(exp (log (+ (* x y) 1.0)))
16.0ms	(log (+ (* x y) 1.0))

simplify80.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	205	275
1	674	251
2	3029	237
3	5001	231

prune69.0ms

Filtered

36 candidates to 51 candidates (-41.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	51	2	53

Merged error: 0b

Counts

53 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

1.4b	(pow (exp (* (cbrt (log (+ (* x y) 1.0))) (cbrt (log (+ (* x y) 1.0))))) (cbrt (log (+ (* x y) 1.0))))
4.1b	(log (+ (* x y) 1.0))
4.1b	(log (+ (* x y) 1.0))
4.1b	(log (+ (* x y) 1.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `log-prod`
7×	`add-exp-log` `pow-unpow`
6×	`log-div`
5×	`add-log-exp`
4×	`cbrt-prod` `log-pow` `add-cbrt-cube`
3×	`unpow-prod-down` `pow-pow` `flip3-+` `rem-log-exp` `flip-+`
1×	`pow-to-exp` `exp-prod` `exp-to-pow` `pow-exp` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

4.0ms	(pow (exp (* (cbrt (log (+ (* x y) 1.0))) (cbrt (log (+ (* x y) 1.0))))) (cbrt (log (+ (* x y) 1.0))))
4.0ms	(log (+ (* x y) 1.0))
4.0ms	(log (+ (* x y) 1.0))
4.0ms	(log (+ (* x y) 1.0))

series2.2s

Counts

4 → 12

Calls

4 calls:

2.1s	(pow (exp (* (cbrt (log (+ (* x y) 1.0))) (cbrt (log (+ (* x y) 1.0))))) (cbrt (log (+ (* x y) 1.0))))
14.0ms	(log (+ (* x y) 1.0))
16.0ms	(log (+ (* x y) 1.0))
14.0ms	(log (+ (* x y) 1.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1051	2030
1	5001	1940

prune504.0ms

Filtered

61 candidates to 77 candidates (-26.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	77	2	79

Merged error: 0b

Counts

79 → 2

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

analyze98.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 12.195185%

Guaranteed chance to sample good point: 98.024306%

sample430.0ms

Algorithm

intervals

Results

145.0ms	5859×	body	80	valid
68.0ms	812×	body	640	valid
43.0ms	409×	body	1280	valid
36.0ms	555×	body	320	valid
16.0ms	365×	body	160	valid
1.0ms	34×	body	80	invalid

Details

analyze103.0ms

sample20.0ms

simplify84.0ms

prune2.0ms

localize5.0ms

rewrite14.0ms

series9.0ms

simplify36.0ms

prune73.0ms

localize5.0ms

rewrite4.0ms

series4.0ms

simplify153.0ms

prune18.0ms

localize9.0ms

rewrite14.0ms

series24.0ms

simplify80.0ms

prune69.0ms

localize15.0ms

rewrite17.0ms

series2.2s

simplify41.0ms

prune504.0ms

regimes63.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze98.0ms

sample430.0ms

Profiling