Details

sample2.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 73.754883%

Guaranteed chance to sample good point: 17.581395%

Results

22.0ms	256×	body	80	valid
20.0ms	315×	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

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: 0.3b

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))

rewrite38.0ms

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))
6.0ms	(+ (log (+ x y)) (log z))

series105.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (+ (log (+ x y)) (log z)) t)
49.0ms	(+ (- (+ (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))

simplify63.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (52.0ms)

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

prune188.0ms

Filtered

80 candidates to 114 candidates (-42.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	104	10	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	10	115

Merged error: 0.0b

Counts

115 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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)
10.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
8.0ms	(+ (- (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)
52.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
21.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
9.0ms	(* (- a 0.5) (log t))

simplify63.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	714	955
1	2575	887
2	5002	837

prune158.0ms

Filtered

79 candidates to 110 candidates (-39.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	111	9	120

Merged error: 0.0b

Counts

120 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- 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)

rewrite28.0ms

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:

13.0ms	(+ (* (- 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:

38.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
14.0ms	(+ (log (+ x y)) (log z))
21.0ms	(cbrt t)
22.0ms	(cbrt t)

simplify60.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (50.0ms)

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

prune191.0ms

Filtered

95 candidates to 110 candidates (-15.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	112	7	119

Merged error: 0b

Counts

119 → 7

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (pow t 1/3))))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
4.9b	(pow t 1/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

45×	`log-prod`
31×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
27×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`associate-+r+`
15×	`cbrt-prod`
9×	`pow1` `unpow-prod-down`
8×	`associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
5×	`add-exp-log`
4×	`flip3--` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`pow-unpow` `flip3-+` `flip-+` `sqr-pow`
2×	`+-commutative` `associate-+l-` `log-div` `sum-log`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp`

Counts

4 → 107

Calls

4 calls:

13.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (pow t 1/3))))
6.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
2.0ms	(pow t 1/3)

series104.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (pow t 1/3))))
17.0ms	(+ (log (+ x y)) (log z))
21.0ms	(cbrt t)
19.0ms	(pow t 1/3)

simplify81.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	743	978
1	2641	864
2	5002	787

prune212.0ms

Filtered

96 candidates to 119 candidates (-24.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	119	7	126

Merged error: 0b

Counts

126 → 7

regimes955.0ms

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

sample3.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 73.754883%

Guaranteed chance to sample good point: 17.581395%

Results

608.0ms	8987×	body	80	nan
588.0ms	8000×	body	80	valid
2.0ms	29×	body	80	invalid

Details

sample2.0s

simplify61.0ms

prune5.0ms

localize15.0ms

rewrite38.0ms

series105.0ms

simplify63.0ms

prune188.0ms

localize18.0ms

rewrite31.0ms

series91.0ms

simplify63.0ms

prune158.0ms

localize20.0ms

rewrite28.0ms

series95.0ms

simplify60.0ms

prune191.0ms

localize32.0ms

rewrite28.0ms

series104.0ms

simplify81.0ms

prune212.0ms

regimes955.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.7s

Profiling