Details

sample253.0ms

Algorithm

intervals

Results

119.0ms	1903×	body	80	nan
19.0ms	256×	body	80	valid

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

Filtered

1 candidates to 0 candidates (100.0%)

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))

rewrite34.0ms

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)
11.0ms	(+ (- (+ (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))

series103.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (+ (log (+ x y)) (log z)) t)
48.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

simplify60.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (49.0ms)

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

prune183.0ms

Filtered

114 candidates to 80 candidates (29.8%)

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

rewrite33.0ms

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)
12.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
8.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
6.0ms	(* (- a 0.5) (log t))

series89.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (log z) t)
50.0ms	(+ (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))

simplify61.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (51.0ms)

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

prune159.0ms

Filtered

110 candidates to 79 candidates (28.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	111	8	119

Merged error: 0.0b

Counts

119 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.5b	(cbrt t)
0.5b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))

rewrite25.0ms

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

series95.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
21.0ms	(cbrt t)
24.0ms	(cbrt t)
14.0ms	(+ (log (+ x y)) (log z))

simplify59.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (49.0ms)

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

prune201.0ms

Filtered

110 candidates to 95 candidates (13.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	110	8	118

Merged error: 0b

Counts

118 → 8

localize29.0ms

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))))
0.5b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))
5.0b	(pow t 1/3)

rewrite30.0ms

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:

16.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (pow t 1/3))))
1.0ms	(cbrt t)
7.0ms	(+ (log (+ x y)) (log z))
2.0ms	(pow t 1/3)

series106.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (pow t 1/3))))
21.0ms	(cbrt t)
14.0ms	(+ (log (+ x y)) (log z))
20.0ms	(pow t 1/3)

simplify78.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (68.0ms)

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

prune213.0ms

Filtered

119 candidates to 96 candidates (19.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	120	7	127

Merged error: 0b

Counts

127 → 7

regimes923.0ms

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	32	19
1	32	19

end0.0ms

sample7.5s

Algorithm

intervals

Results

3.6s	57666×	body	80	nan
583.0ms	8026×	body	80	valid

Details

sample253.0ms

simplify55.0ms

prune5.0ms

localize15.0ms

rewrite34.0ms

series103.0ms

simplify60.0ms

prune183.0ms

localize15.0ms

rewrite33.0ms

series89.0ms

simplify61.0ms

prune159.0ms

localize21.0ms

rewrite25.0ms

series95.0ms

simplify59.0ms

prune201.0ms

localize29.0ms

rewrite30.0ms

series106.0ms

simplify78.0ms

prune213.0ms

regimes923.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.5s

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