Details

sample780.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 92.333984%

Results

16.0ms	36×	body	1280	valid
11.0ms	175×	body	80	valid
8.0ms	28×	body	640	valid
2.0ms	8×	body	320	valid
1.0ms	9×	body	160	valid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (cos y))
0.0b	(- (+ x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 44

Calls

3 calls:

4.0ms	(+ x (cos y))
6.0ms	(- (+ x (cos y)) (* z (sin y)))
5.0ms	(* z (sin y))

series29.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ x (cos y))
13.0ms	(- (+ x (cos y)) (* z (sin y)))
8.0ms	(* z (sin y))

simplify82.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	198	256
1	668	240
2	2771	240
3	5001	240

prune69.0ms

Filtered

37 candidates to 53 candidates (-43.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Merged error: 0.0b

Counts

54 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

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:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series92.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt z) (cbrt z))
22.0ms	(cbrt z)
24.0ms	(cbrt z)
22.0ms	(cbrt z)

simplify79.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune84.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (+ x (cos y)) (* z (sin y))))
0.1b	(* z (sin y))
0.1b	(* z (sin y))
0.2b	(* (sqrt (- (+ x (cos y)) (* z (sin y)))) (sqrt (- (+ x (cos y)) (* z (sin y)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`pow1`
21×	`sqrt-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
14×	`sqrt-div`
12×	`associate-r` `associate-l`
10×	`add-exp-log` `add-cbrt-cube`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
7×	`flip3--` `flip--`
6×	`unswap-sqr`
5×	`pow-prod-down` `pow-prod-up`
4×	`frac-times` `add-log-exp`
3×	`prod-exp` `pow-sqr` `*-commutative` `cbrt-unprod`
2×	`associate-r/` `associate-l/`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 108

Calls

4 calls:

5.0ms	(sqrt (- (+ x (cos y)) (* z (sin y))))
4.0ms	(* z (sin y))
4.0ms	(* z (sin y))
15.0ms	(* (sqrt (- (+ x (cos y)) (* z (sin y)))) (sqrt (- (+ x (cos y)) (* z (sin y)))))

series54.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(sqrt (- (+ x (cos y)) (* z (sin y))))
7.0ms	(* z (sin y))
7.0ms	(* z (sin y))
12.0ms	(* (sqrt (- (+ x (cos y)) (* z (sin y)))) (sqrt (- (+ x (cos y)) (* z (sin y)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	291	983
1	1255	881
2	5001	848

prune100.0ms

Filtered

69 candidates to 120 candidates (-73.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	119	7	126

Merged error: 0b

Counts

126 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.1b	(* z (sin y))
0.2b	(* (pow (sqrt (sqrt (- (+ x (cos y)) (* z (sin y))))) 3) (sqrt (sqrt (- (+ x (cos y)) (* z (sin y))))))
0.4b	(pow (sqrt (sqrt (- (+ x (cos y)) (* z (sin y))))) 3)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

87×	`sqrt-prod`
74×	`add-sqr-sqrt`
30×	`associate-l`
28×	`sqrt-div`
27×	`unpow-prod-down` `cube-prod`
26×	`unswap-sqr`
25×	`add-cube-cbrt` `*-un-lft-identity`
15×	`associate-r`
14×	`add-exp-log`
12×	`pow1`
11×	`add-cbrt-cube`
8×	`cube-div`
7×	`flip3--` `flip--`
5×	`pow-pow` `prod-exp` `sqr-pow`
4×	`frac-times` `sqrt-pow1` `add-log-exp`
3×	`pow-unpow` `*-commutative` `cbrt-unprod`
2×	`cube-mult` `pow-to-exp` `pow1/2` `unpow3` `associate-r/` `pow-prod-down` `associate-l/` `pow-exp`
1×	`pow-plus` `pow-prod-up` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 157

Calls

4 calls:

5.0ms	(* z (sin y))
4.0ms	(* z (sin y))
21.0ms	(* (pow (sqrt (sqrt (- (+ x (cos y)) (* z (sin y))))) 3) (sqrt (sqrt (- (+ x (cos y)) (* z (sin y))))))
8.0ms	(pow (sqrt (sqrt (- (+ x (cos y)) (* z (sin y))))) 3)

series119.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (sin y))
7.0ms	(* z (sin y))
13.0ms	(* (pow (sqrt (sqrt (- (+ x (cos y)) (* z (sin y))))) 3) (sqrt (sqrt (- (+ x (cos y)) (* z (sin y))))))
91.0ms	(pow (sqrt (sqrt (- (+ x (cos y)) (* z (sin y))))) 3)

simplify93.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	513	2136
1	2417	1879
2	5002	1660

prune133.0ms

Filtered

83 candidates to 169 candidates (-103.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	169	7	176

Merged error: 0b

Counts

176 → 7

regimes253.0ms

Accuracy

0% (0.0b 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	10	5
1	10	5

end0.0ms

sample2.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 92.333984%

Results

445.0ms	996×	body	1280	valid
357.0ms	5594×	body	80	valid
228.0ms	816×	body	640	valid
73.0ms	395×	body	320	valid
27.0ms	199×	body	160	valid

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

Details

sample780.0ms

simplify22.0ms

prune4.0ms

localize10.0ms

rewrite15.0ms

series29.0ms

simplify82.0ms

prune69.0ms

localize14.0ms

rewrite11.0ms

series92.0ms

simplify79.0ms

prune84.0ms

localize12.0ms

rewrite31.0ms

series54.0ms

simplify54.0ms

prune100.0ms

localize17.0ms

rewrite44.0ms

series119.0ms

simplify93.0ms

prune133.0ms

regimes253.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

Profiling

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5