Details

sample187.0ms

Algorithm

intervals

Results

104.0ms	1614×	body	80	nan
19.0ms	258×	body	80	valid

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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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))

rewrite39.0ms

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

series491.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(- (+ (log (+ x y)) (log z)) t)
197.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
54.0ms	(* (- a 0.5) (log t))
73.0ms	(+ (log (+ x y)) (log z))

simplify60.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	618	1003
1	2230	940
2	5001	924

prune365.0ms

Filtered

114 candidates to 80 candidates (70.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	103	11	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	11	115

Merged error: 0.0b

Counts

115 → 11

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

rewrite50.0ms

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:

18.0ms	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
7.0ms	(* (- a 0.5) (log t))
13.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
8.0ms	(+ (log (sqrt (+ x y))) (log z))

series579.0ms

Counts

4 → 12

Calls

4 calls:

282.0ms	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
59.0ms	(* (- a 0.5) (log t))
125.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
113.0ms	(+ (log (sqrt (+ x y))) (log z))

simplify75.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	780	1487
1	2817	1345
2	5001	1330

prune442.0ms

Filtered

130 candidates to 92 candidates (70.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	131	10	141

Merged error: 0.0b

Counts

141 → 10

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

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))
13.0ms	(+ (- (+ (log (sqrt (+ x y))) (log z)) t) (* (- a 0.5) (log t)))
8.0ms	(+ (log (sqrt (+ x y))) (log z))

series698.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(+ (log (sqrt (+ x y))) (+ (- (+ (log (sqrt (+ x y))) (log z)) t) (* (- a 0.5) (log t))))
56.0ms	(* (- a 0.5) (log t))
248.0ms	(+ (- (+ (log (sqrt (+ x y))) (log z)) t) (* (- a 0.5) (log t)))
109.0ms	(+ (log (sqrt (+ x y))) (log z))

simplify78.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	777	1442
1	2891	1336
2	5001	1318

prune420.0ms

Filtered

122 candidates to 89 candidates (73.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	123	9	132

Merged error: 0.0b

Counts

132 → 9

localize26.0ms

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

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:

13.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
2.0ms	(cbrt t)
1.0ms	(cbrt t)
7.0ms	(+ (log (+ x y)) (log z))

series613.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
181.0ms	(cbrt t)
182.0ms	(cbrt t)
76.0ms	(+ (log (+ x y)) (log z))

simplify64.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	598	898
1	2124	774
2	5001	748

prune471.0ms

Filtered

110 candidates to 98 candidates (89.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	111	8	119

Merged error: 0.0b

Counts

119 → 8

regimes579.0ms

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	36	24
1	36	24

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.4s	55715×	body	80	nan
583.0ms	8032×	body	80	valid