Details

sample3.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 2.288818%

Guaranteed chance to sample good point: 85.601849%

Results

10.0ms	34×	body	1280	valid
8.0ms	164×	body	80	valid
6.0ms	31×	body	640	valid
3.0ms	19×	body	320	valid
1.0ms	5×	body	640	invalid
1.0ms	8×	body	160	valid
0.0ms	8×	body	80	invalid
0.0ms	2×	body	160	invalid
0.0ms	1×	body	320	invalid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	4

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: 2.2b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
2.1b	(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

6.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
6.0ms	(/ (* x (/ (sin y) y)) z)

series32.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
18.0ms	(/ (* x (/ (sin y) y)) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5002	420

prune97.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 0.0b

Counts

93 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
2.3b	(* (* x (/ (sin y) y)) (/ 1 z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
22×	`prod-exp`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv`
4×	`associate-r/` `associate-l*` `pow-prod-down`
3×	`rec-exp` `1-exp` `associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `un-div-inv`

Counts

3 → 105

Calls

3 calls:

6.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
9.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series28.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
14.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify62.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	480	667
1	2656	552
2	5001	539

prune97.0ms

Filtered

72 candidates to 114 candidates (-58.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	113	7	120

Merged error: 0.0b

Counts

120 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(* x (/ 1 (/ y (sin y))))
0.3b	(/ 1 (/ y (sin y)))
2.1b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
64×	`add-exp-log`
44×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
19×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
7×	`pow1` `associate-/l*`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 207

Calls

4 calls:

3.0ms	(/ y (sin y))
16.0ms	(* x (/ 1 (/ y (sin y))))
6.0ms	(/ 1 (/ y (sin y)))
10.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series34.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ y (sin y))
10.0ms	(* x (/ 1 (/ y (sin y))))
4.0ms	(/ 1 (/ y (sin y)))
14.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify83.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	709	1443
1	3691	1225
2	5003	1088

prune156.0ms

Filtered

129 candidates to 219 candidates (-69.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	218	1	219
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	219	7	226

Merged error: 0b

Counts

226 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ 1 z))
0.5b	(cbrt (/ 1 z))
0.9b	(* (* (* x (/ (sin y) y)) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (cbrt (/ 1 z)))
1.5b	(* (* x (/ (sin y) y)) (* (cbrt (/ 1 z)) (cbrt (/ 1 z))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-exp-log`
39×	`cbrt-prod`
35×	`add-cbrt-cube`
34×	`pow1` `cbrt-div`
33×	`prod-exp` `cbrt-unprod`
28×	`associate-*r/`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
22×	`frac-times`
21×	`pow-prod-down`
17×	`associate-r`
16×	`associate-*l/`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`div-inv`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 136

Calls

4 calls:

2.0ms	(cbrt (/ 1 z))
2.0ms	(cbrt (/ 1 z))
20.0ms	(* (* (* x (/ (sin y) y)) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (cbrt (/ 1 z)))
16.0ms	(* (* x (/ (sin y) y)) (* (cbrt (/ 1 z)) (cbrt (/ 1 z))))

series100.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt (/ 1 z))
21.0ms	(cbrt (/ 1 z))
22.0ms	(* (* (* x (/ (sin y) y)) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (cbrt (/ 1 z)))
36.0ms	(* (* x (/ (sin y) y)) (* (cbrt (/ 1 z)) (cbrt (/ 1 z))))

simplify77.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	620	1591
1	2833	1268
2	5002	1183

prune174.0ms

Filtered

81 candidates to 148 candidates (-82.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	148	7	155

Merged error: 0b

Counts

155 → 7

regimes370.0ms

Accuracy

92.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.9b

bsearch59.0ms

Steps

Iters	Range		Point
4	4.471868781050376e-31	7.666691171960149e-31	4.771383380198167e-31
7	-1.6887523321486978e-05	-7.317231045133436e-08	-4.924207259658096e-06

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	9
1	25	9

end0.0ms

sample5.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 2.288818%

Guaranteed chance to sample good point: 85.601849%

Results

514.0ms	961×	body	1280	valid
271.0ms	5254×	body	80	valid
203.0ms	1005×	body	640	valid
77.0ms	531×	body	320	valid
25.0ms	249×	body	160	valid
23.0ms	385×	body	80	invalid
12.0ms	60×	body	640	invalid
6.0ms	42×	body	320	invalid
4.0ms	13×	body	1280	invalid
3.0ms	27×	body	160	invalid

Details

sample3.9s

simplify8.0ms

prune3.0ms

localize7.0ms

rewrite18.0ms

series32.0ms

simplify45.0ms

prune97.0ms

localize8.0ms

rewrite23.0ms

series28.0ms

simplify62.0ms

prune97.0ms

localize8.0ms

rewrite45.0ms

series34.0ms

simplify83.0ms

prune156.0ms

localize12.0ms

rewrite46.0ms

series100.0ms

simplify77.0ms

prune174.0ms

regimes370.0ms

bsearch59.0ms

simplify1.0ms

end0.0ms

sample5.5s

Profiling