Details

sample887.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 83.749449%

Space saved by search: 0.243902%

Guaranteed chance to sample good point: 0%

Results

18.0ms	256×	body	80	valid
4.0ms	66×	body	80	nan

simplify55.0ms

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

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

localize19.0ms

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:

8.0ms	(- (+ (log (+ x y)) (log z)) t)
12.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
7.0ms	(* (- a 0.5) (log t))
7.0ms	(+ (log (+ x y)) (log z))

series107.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (+ (log (+ x y)) (log z)) t)
52.0ms	(+ (- (+ (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))

simplify69.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (59.0ms)

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

prune187.0ms

Filtered

80 candidates to 114 candidates (-42.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	105	9	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	9	115

Merged error: 0.0b

Counts

115 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (- (log z) t) (* (- a 0.5) (log t)))
0.1b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
0.1b	(* (- 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)
9.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
10.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
7.0ms	(* (- a 0.5) (log t))

series91.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (log z) t)
21.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
52.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
9.0ms	(* (- a 0.5) (log t))

simplify59.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	714	955
1	2575	887
2	5003	837

prune161.0ms

Filtered

79 candidates to 110 candidates (-39.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	110	9	119

Merged error: 0.0b

Counts

119 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

31×	`log-prod`
28×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
20×	`frac-add`
18×	`add-cube-cbrt`
16×	`pow1` `flip3--` `flip--` `add-log-exp`
15×	`associate-+r+`
14×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
12×	`sqrt-prod`
11×	`associate-r` `associate-l`
10×	`associate-*r/` `log-pow`
9×	`sum-log`
8×	`add-exp-log` `add-cbrt-cube`
5×	`associate-+l+` `flip3-+` `flip-+` `distribute-lft-out`
4×	`associate-+l-`
2×	`+-commutative` `sub-neg` `log-div` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

16.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (- a 0.5) (log (sqrt t))))
7.0ms	(* (log (sqrt t)) (- a 0.5))
8.0ms	(* (- a 0.5) (log (sqrt t)))
7.0ms	(+ (log (+ x y)) (log z))

series94.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (- a 0.5) (log (sqrt t))))
8.0ms	(* (log (sqrt t)) (- a 0.5))
7.0ms	(* (- a 0.5) (log (sqrt t)))
14.0ms	(+ (log (+ x y)) (log z))

simplify131.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1075	2116
1	4868	1957
2	5002	1957

prune291.0ms

Filtered

107 candidates to 142 candidates (-32.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	142	9	151

Merged error: 0b

Counts

151 → 9

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1`
7×	`log-prod`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-+l+` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 57

Calls

4 calls:

2.0ms	(cbrt t)
2.0ms	(cbrt t)
2.0ms	(cbrt t)
11.0ms	(+ (log (+ x y)) (log z))

series88.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt t)
24.0ms	(cbrt t)
21.0ms	(cbrt t)
21.0ms	(+ (log (+ x y)) (log z))

simplify93.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	214	321
1	443	296
2	938	255
3	3244	246
4	5001	246

prune97.0ms

Filtered

52 candidates to 69 candidates (-32.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	69	9	78

Merged error: 0b

Counts

78 → 9

regimes1.1s

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

sample2.1s

Algorithm

intervals

sampling

Space saved by range analysis: 83.749449%

Space saved by search: 0.243902%

Guaranteed chance to sample good point: 0%

Results

763.0ms	8000×	body	80	valid
169.0ms	2448×	body	80	nan
2.0ms	32×	body	80	invalid

Details

sample887.0ms

simplify55.0ms

prune5.0ms

localize19.0ms

rewrite36.0ms

series107.0ms

simplify69.0ms

prune187.0ms

localize15.0ms

rewrite32.0ms

series91.0ms

simplify59.0ms

prune161.0ms

localize21.0ms

rewrite43.0ms

series94.0ms

simplify131.0ms

prune291.0ms

localize39.0ms

rewrite19.0ms

series88.0ms

simplify93.0ms

prune97.0ms

regimes1.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

Profiling