Details

sample208.0ms

Algorithm

intervals

Results

114.0ms	1897×	body	80	nan
21.0ms	256×	body	80	valid

simplify62.0ms

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

rewrite37.0ms

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))

series494.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(- (+ (log (+ x y)) (log z)) t)
196.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
60.0ms	(* (- a 0.5) (log t))
73.0ms	(+ (log (+ x y)) (log z))

simplify59.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (48.0ms)

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

prune356.0ms

Filtered

114 candidates to 80 candidates (70.2%)

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: 0.0b

Counts

115 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

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

series468.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5)))
69.0ms	(* (log (sqrt t)) (- a 0.5))
61.0ms	(* (- a 0.5) (log (sqrt t)))
68.0ms	(+ (log (+ x y)) (log z))

simplify65.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	641	1105
1	2541	1029
2	5001	1015

prune428.0ms

Filtered

127 candidates to 87 candidates (68.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	124	3	127
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	126	9	135

Merged error: 0b

Counts

135 → 9

localize18.0ms

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

15.0ms	(+ (+ (log (+ x y)) (+ (- (log z) t) (* (log (sqrt t)) (- a 0.5)))) (* (- a 0.5) (log (sqrt t))))
11.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (log (sqrt t)) (- a 0.5))))
7.0ms	(* (log (sqrt t)) (- a 0.5))
8.0ms	(* (- a 0.5) (log (sqrt t)))

series693.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(+ (+ (log (+ x y)) (+ (- (log z) t) (* (log (sqrt t)) (- a 0.5)))) (* (- a 0.5) (log (sqrt t))))
267.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (log (sqrt t)) (- a 0.5))))
69.0ms	(* (log (sqrt t)) (- a 0.5))
62.0ms	(* (- a 0.5) (log (sqrt t)))

simplify73.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	691	1670
1	2799	1555
2	5003	1537

prune443.0ms

Filtered

135 candidates to 93 candidates (68.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	136	8	144

Merged error: 0b

Counts

144 → 8

localize23.0ms

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)

rewrite12.0ms

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:

7.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series622.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (log (+ x y)) (log z))
182.0ms	(cbrt t)
179.0ms	(cbrt t)
187.0ms	(cbrt t)

simplify76.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	185	279
1	378	255
2	949	246
3	3040	245
4	5002	245

prune267.0ms

Filtered

69 candidates to 56 candidates (81.2%)

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

regimes573.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	15
1	24	15
2	24	15

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.3s	55118×	body	80	nan
565.0ms	8025×	body	80	valid

Details

sample208.0ms

simplify62.0ms

prune3.0ms

localize15.0ms

rewrite37.0ms

series494.0ms

simplify59.0ms

prune356.0ms

localize19.0ms

rewrite41.0ms

series468.0ms

simplify65.0ms

prune428.0ms

localize18.0ms

rewrite46.0ms

series693.0ms

simplify73.0ms

prune443.0ms

localize23.0ms

rewrite12.0ms

series622.0ms

simplify76.0ms

prune267.0ms

regimes573.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.9s

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