Details

sample3.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 83.709717%

Guaranteed chance to sample good point: 38.816036%

Results

20.0ms	256×	body	80	valid
5.0ms	77×	body	80	nan

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	59	9
2	153	9
3	360	9
4	813	9
5	1639	9
6	3143	9
7	5001	9

prune7.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

7.0ms	(- (+ (log (+ x y)) (log z)) t)
12.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
6.0ms	(* (- a 0.5) (log t))
7.0ms	(+ (log (+ x y)) (log z))

series106.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (+ (log (+ x y)) (log z)) t)
51.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
9.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

simplify65.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	681	1040
1	2483	977
2	5001	932

prune182.0ms

Filtered

80 candidates to 114 candidates (-42.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	106	8	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	8	115

Merged error: 0.0b

Counts

115 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(* (- a 0.5) (log t))
0.1b	(+ (- (log z) t) (* (- a 0.5) (log t)))
0.1b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
22×	`log-prod`
19×	`add-sqr-sqrt`
14×	`add-log-exp`
13×	`add-cube-cbrt`
9×	`pow1` `associate-+l+`
7×	`associate-+r+` `sum-log`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `associate--l+` `add-cbrt-cube` `flip--`
5×	`associate-l`
4×	`associate-+l-` `associate-r` `frac-add`
3×	`flip3-+` `diff-log` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--`
2×	`+-commutative` `sub-neg` `log-div` `difference-of-squares`
1×	`associate-+r-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

4.0ms	(- (log z) t)
7.0ms	(* (- a 0.5) (log t))
8.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
10.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

series90.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (log z) t)
9.0ms	(* (- a 0.5) (log t))
21.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
51.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

simplify68.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	714	955
1	2569	887
2	5002	837

prune151.0ms

Filtered

79 candidates to 110 candidates (-39.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	110	8	118

Merged error: 0.0b

Counts

118 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.4b	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
0.5b	(+ (log (sqrt (+ x y))) (log z))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
29×	`log-prod`
24×	`pow1` `distribute-lft-out`
19×	`add-sqr-sqrt`
18×	`log-pow`
17×	`associate-+l+`
15×	`add-cube-cbrt` `add-log-exp`
11×	`sum-log`
10×	`associate-+r+`
8×	`sqrt-prod`
7×	`associate-+l-`
6×	`add-exp-log` `distribute-rgt-in` `log-div` `distribute-lft-in` `flip3-+` `sqrt-div` `associate-*l/` `add-cbrt-cube` `flip-+`
5×	`flip3--` `associate-l` `flip--`
4×	`associate-r` `frac-add`
3×	`+-commutative` `diff-log`
2×	`associate-+r-`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

19.0ms	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
7.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
8.0ms	(+ (log (sqrt (+ x y))) (log z))

series111.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
12.0ms	(* (- a 0.5) (log t))
22.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
19.0ms	(+ (log (sqrt (+ x y))) (log z))

simplify78.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	862	1527
1	3259	1385
2	5001	1347

prune176.0ms

Filtered

91 candidates to 130 candidates (-42.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	130	8	138

Merged error: 0.0b

Counts

138 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
26×	`*-un-lft-identity`
24×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-+r+`
8×	`pow1` `associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
4×	`add-exp-log` `flip3--` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 98

Calls

4 calls:

14.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
6.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series95.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
14.0ms	(+ (log (+ x y)) (log z))
24.0ms	(cbrt t)
22.0ms	(cbrt t)

simplify61.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	637	941
1	2068	825
2	5001	778

prune154.0ms

Filtered

95 candidates to 110 candidates (-15.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	110	8	118

Merged error: 0.0b

Counts

118 → 8

regimes1.0s

Accuracy

0% (0.2b 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

sample4.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 83.709717%

Guaranteed chance to sample good point: 38.816036%

Results

626.0ms	8000×	body	80	valid
171.0ms	2457×	body	80	nan
3.0ms	40×	body	80	invalid

Details

sample3.5s

simplify61.0ms

prune7.0ms

localize15.0ms

rewrite36.0ms

series106.0ms

simplify65.0ms

prune182.0ms

localize16.0ms

rewrite32.0ms

series90.0ms

simplify68.0ms

prune151.0ms

localize18.0ms

rewrite52.0ms

series111.0ms

simplify78.0ms

prune176.0ms

localize22.0ms

rewrite27.0ms

series95.0ms

simplify61.0ms

prune154.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.9s

Profiling