Details

sample925.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 83.709717%

Guaranteed chance to sample good point: 38.816036%

Results

18.0ms	256×	body	80	valid
4.0ms	67×	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

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)))
0.2b	(* (- 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)
14.0ms	(+ (- (+ (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:

31.0ms	(- (+ (log (+ x y)) (log z)) t)
50.0ms	(+ (- (+ (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))

simplify61.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (50.0ms)

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

prune180.0ms

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: 0b

Counts

115 → 8

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ (- (log z) t) (* (- a 0.5) (log t)))
0.1b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
0.2b	(* (- a 0.5) (log t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

8.0ms	(+ (- (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))

series81.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify59.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	687	874
1	2519	809
2	5002	765

prune137.0ms

Filtered

65 candidates to 89 candidates (-36.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	89	8	97

Merged error: 0b

Counts

97 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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:

6.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series82.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (log (+ x y)) (log z))
21.0ms	(cbrt t)
21.0ms	(cbrt t)
22.0ms	(cbrt t)

simplify97.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (25.0ms)

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

prune119.0ms

Filtered

52 candidates to 69 candidates (-32.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	69	8	77

Merged error: 0b

Counts

77 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cbrt (- a 0.5)) (cbrt (- a 0.5))) (* (cbrt (- a 0.5)) (log t)))
0.4b	(* (cbrt (- a 0.5)) (log t))
0.6b	(+ (log (+ x y)) (log z))
0.8b	(* (cbrt (- a 0.5)) (cbrt (- a 0.5)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

68×	`cbrt-div`
45×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`associate-*l/`
34×	`cbrt-prod` `flip3--` `flip--`
32×	`frac-times`
30×	`pow1`
25×	`log-prod`
23×	`add-cube-cbrt`
20×	`add-exp-log`
17×	`associate-l`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-r`
11×	`pow-prod-down` `add-cbrt-cube`
10×	`associate-*r/` `swap-sqr` `prod-exp` `cbrt-unprod`
7×	`distribute-lft-out--`
6×	`pow1/3` `unswap-sqr`
5×	`log-pow` `distribute-lft-out` `difference-of-squares`
4×	`associate-+l+` `add-log-exp`
3×	`associate-+r+` `*-commutative`
2×	`associate-+l-` `log-div` `flip3-+` `pow-sqr` `pow-prod-up` `flip-+`
1×	`+-commutative` `pow2` `pow-plus` `sum-log`

Counts

4 → 173

Calls

4 calls:

17.0ms	(* (* (cbrt (- a 0.5)) (cbrt (- a 0.5))) (* (cbrt (- a 0.5)) (log t)))
8.0ms	(* (cbrt (- a 0.5)) (log t))
6.0ms	(+ (log (+ x y)) (log z))
10.0ms	(* (cbrt (- a 0.5)) (cbrt (- a 0.5)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (* (cbrt (- a 0.5)) (cbrt (- a 0.5))) (* (cbrt (- a 0.5)) (log t)))
24.0ms	(* (cbrt (- a 0.5)) (log t))
14.0ms	(+ (log (+ x y)) (log z))
10.0ms	(* (cbrt (- a 0.5)) (cbrt (- a 0.5)))

simplify100.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	1068	2221
1	3718	1905
2	5003	1764

prune298.0ms

Filtered

108 candidates to 185 candidates (-71.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	185	8	193

Merged error: 0b

Counts

193 → 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

sample2.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 83.709717%

Guaranteed chance to sample good point: 38.816036%

Results

607.0ms	8000×	body	80	valid
152.0ms	2362×	body	80	nan
2.0ms	27×	body	80	invalid

Details

sample925.0ms

simplify55.0ms

prune5.0ms

localize15.0ms

rewrite38.0ms

series105.0ms

simplify61.0ms

prune180.0ms

localize18.0ms

rewrite28.0ms

series81.0ms

simplify59.0ms

prune137.0ms

localize27.0ms

rewrite11.0ms

series82.0ms

simplify97.0ms

prune119.0ms

localize19.0ms

rewrite51.0ms

series59.0ms

simplify100.0ms

prune298.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

Profiling