Details

sample6.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 56.494141%

Guaranteed chance to sample good point: 44.444444%

Results

19.0ms	256×	body	80	valid
8.0ms	141×	body	80	invalid
4.0ms	65×	body	80	nan

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	9
1	41	9
2	88	9
3	165	9
4	287	9
5	625	9
6	2014	9
7	5002	9

prune5.0ms

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: 0.2b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube`
7×	`add-exp-log` `add-sqr-sqrt` `associate-r`
6×	`associate-*l/`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp`
1×	`sqrt-prod` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

12.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series58.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
14.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	298	454
1	1235	396
2	5002	396

prune108.0ms

Filtered

35 candidates to 47 candidates (-34.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	42	5	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	6	48

Merged error: 0.0b

Counts

48 → 6

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube`
16×	`add-exp-log`
15×	`associate-r`
13×	`add-sqr-sqrt`
12×	`associate-*l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
5×	`associate-l`
3×	`flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`unswap-sqr`

Counts

3 → 70

Calls

3 calls:

14.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
10.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series74.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
11.0ms	(* (- (* x 0.5) y) (sqrt z))
16.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	393	723
1	1851	631
2	5001	627

prune339.0ms

Filtered

52 candidates to 79 candidates (-51.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	76	9	85

Merged error: 0.0b

Counts

85 → 9

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
0.2b	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
0.5b	(* (sqrt z) (sqrt 2.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1`
19×	`add-cbrt-cube`
17×	`add-sqr-sqrt`
16×	`add-exp-log`
12×	`pow-prod-down`
10×	`associate-r` `associate-l` `prod-exp` `sqrt-prod` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-*l/`
4×	`unswap-sqr`
3×	`*-commutative` `add-log-exp`
2×	`flip3--` `sqrt-pow1` `pow1/2` `flip--`
1×	`sqrt-unprod`

Counts

3 → 73

Calls

3 calls:

14.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
9.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
6.0ms	(* (sqrt z) (sqrt 2.0))

series70.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
16.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
5.0ms	(* (sqrt z) (sqrt 2.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	423	715
1	1849	633
2	5001	631

prune150.0ms

Filtered

52 candidates to 82 candidates (-57.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	81	10	91

Merged error: 0.0b

Counts

91 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
0.2b	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.3b	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
55×	`add-exp-log`
41×	`pow-prod-down` `prod-exp` `cbrt-unprod`
39×	`add-cbrt-cube`
20×	`associate-*l/`
19×	`associate-r`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
6×	`cbrt-prod` `associate-l`
4×	`flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 115

Calls

4 calls:

24.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
18.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
14.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series113.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
16.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
11.0ms	(* (- (* x 0.5) y) (sqrt z))
40.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify88.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	577	1851
1	2800	1371
2	5001	1280

prune227.0ms

Filtered

71 candidates to 127 candidates (-78.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	5	6
Picked	0	1	1
Done	1	2	3
Total	128	9	137

Merged error: 0b

Counts

137 → 9

regimes1.2s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms

sample8.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 56.494141%

Guaranteed chance to sample good point: 44.444444%

Results

482.0ms	8000×	body	80	valid
327.0ms	5363×	body	80	invalid
124.0ms	2120×	body	80	nan

Details

sample6.5s

simplify79.0ms

prune5.0ms

localize12.0ms

rewrite21.0ms

series58.0ms

simplify41.0ms

prune108.0ms

localize14.0ms

rewrite34.0ms

series74.0ms

simplify57.0ms

prune339.0ms

localize13.0ms

rewrite32.0ms

series70.0ms

simplify62.0ms

prune150.0ms

localize18.0ms

rewrite70.0ms

series113.0ms

simplify88.0ms

prune227.0ms

regimes1.2s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample8.2s

Profiling