Details

sample196.0ms

Algorithm

intervals

Results

115.0ms	1897×	body	80	nan
18.0ms	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

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

localize14.0ms

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))

rewrite42.0ms

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

series462.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(- (+ (log (+ x y)) (log z)) t)
184.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
55.0ms	(* (- a 0.5) (log t))
65.0ms	(+ (log (+ x y)) (log z))

simplify62.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (51.0ms)

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

prune358.0ms

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

localize22.0ms

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))

rewrite37.0ms

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:

12.0ms	(+ (- (+ (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))

series550.0ms

Counts

4 → 12

Calls

4 calls:

315.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5)))
87.0ms	(* (log (sqrt t)) (- a 0.5))
74.0ms	(* (- a 0.5) (log (sqrt t)))
73.0ms	(+ (log (+ x y)) (log z))

simplify69.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	661	1112
1	2647	1041
2	5003	1027

prune437.0ms

Filtered

127 candidates to 90 candidates (70.9%)

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

localize19.0ms

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)))

rewrite49.0ms

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))
12.0ms	(* (- a 0.5) (log (sqrt t)))

series843.0ms

Counts

4 → 12

Calls

4 calls:

369.0ms	(+ (+ (log (+ x y)) (+ (- (log z) t) (* (log (sqrt t)) (- a 0.5)))) (* (- a 0.5) (log (sqrt t))))
314.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (log (sqrt t)) (- a 0.5))))
86.0ms	(* (log (sqrt t)) (- a 0.5))
74.0ms	(* (- a 0.5) (log (sqrt t)))

simplify79.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	734	1681
1	2977	1574
2	5002	1556

prune461.0ms

Filtered

135 candidates to 97 candidates (71.9%)

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

localize29.0ms

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)

series609.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (log (+ x y)) (log z))
183.0ms	(cbrt t)
178.0ms	(cbrt t)
179.0ms	(cbrt t)

simplify80.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (27.0ms)

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

prune268.0ms

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

regimes550.0ms

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

sample5.8s

Algorithm

intervals

Results

3.5s	55118×	body	80	nan
586.0ms	8025×	body	80	valid

Details

sample196.0ms

simplify55.0ms

prune3.0ms

localize14.0ms

rewrite42.0ms

series462.0ms

simplify62.0ms

prune358.0ms

localize22.0ms

rewrite37.0ms

series550.0ms

simplify69.0ms

prune437.0ms

localize19.0ms

rewrite49.0ms

series843.0ms

simplify79.0ms

prune461.0ms

localize29.0ms

rewrite12.0ms

series609.0ms

simplify80.0ms

prune268.0ms

regimes550.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.8s

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