Details

sample951.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 52.172852%

Guaranteed chance to sample good point: 75.421133%

Results

15.0ms	256×	body	80	valid
1.0ms	17×	body	80	nan
0.0ms	8×	body	80	invalid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	51	6
2	104	6
3	191	6
4	262	6
5	353	6
6	466	6
7	712	6
8	1110	6
9	1256	6
10	1257	6
11	1257	6

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

5.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
10.0ms	(* y (+ (- 1.0 z) (log z)))

series27.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
13.0ms	(* y (+ (- 1.0 z) (log z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	315	312
1	1328	279
2	5001	269

prune77.0ms

Filtered

30 candidates to 45 candidates (-50.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	38	7	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	7	46

Merged error: 0.0b

Counts

46 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 z))
0.0b	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

6.0ms	(* y (- 1.0 z))
8.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
7.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series42.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (- 1.0 z))
16.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
14.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
7.0ms	(* y (log z))

simplify58.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	461	552
1	2006	494
2	5002	475

prune106.0ms

Filtered

62 candidates to 98 candidates (-58.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	99	6	105

Merged error: 0.0b

Counts

105 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1.0 z) (log (sqrt z)))
0.1b	(* y (+ (- 1.0 z) (log (sqrt z))))
0.2b	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
0.3b	(* y (log (sqrt z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
30×	`log-prod`
22×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `associate-+r+`
15×	`sqrt-prod`
14×	`pow1` `distribute-rgt-in` `distribute-lft-in`
13×	`associate-r`
9×	`distribute-lft-out` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`log-pow`
6×	`associate-l`
4×	`associate-+l+` `distribute-lft-out--`
3×	`flip3-+` `sum-log` `flip-+`
2×	`+-commutative` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`associate-+l-` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 110

Calls

4 calls:

8.0ms	(+ (- 1.0 z) (log (sqrt z)))
9.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
11.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
5.0ms	(* y (log (sqrt z)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (- 1.0 z) (log (sqrt z)))
11.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
14.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
12.0ms	(* y (log (sqrt z)))

simplify69.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	567	922
1	2376	850
2	5002	807

prune128.0ms

Filtered

80 candidates to 122 candidates (-52.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	123	5	128

Merged error: 0.0b

Counts

128 → 5

localize19.0ms

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:

5.0ms	(* (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))
24.0ms	(cbrt z)
21.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify72.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (66.0ms)

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

prune87.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

regimes266.0ms

Accuracy

0% (0.1b 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	17	7
1	17	7

end0.0ms

sample1.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 52.172852%

Guaranteed chance to sample good point: 75.421133%

Results

374.0ms	8000×	body	80	valid
22.0ms	587×	body	80	nan
9.0ms	193×	body	80	invalid

Details

sample951.0ms

simplify57.0ms

prune3.0ms

localize9.0ms

rewrite16.0ms

series27.0ms

simplify43.0ms

prune77.0ms

localize11.0ms

rewrite27.0ms

series42.0ms

simplify58.0ms

prune106.0ms

localize13.0ms

rewrite37.0ms

series41.0ms

simplify69.0ms

prune128.0ms

localize19.0ms

rewrite11.0ms

series92.0ms

simplify72.0ms

prune87.0ms

regimes266.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

Profiling