Details

sample43.0ms

Algorithm

intervals

Results

14.0ms	304×	body	80	valid
12.0ms	318×	body	80	nan

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	51	6
2	104	6
3	191	6
4	262	6
5	353	6
6	466	6
7	712	6
8	1110	6
9	1256	6
10	1257	6
11	1257	6

prune2.0ms

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: 0.1b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
9×	`pow1`
8×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
4×	`log-pow` `distribute-lft-out--`
3×	`log-prod` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

6.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
7.0ms	(+ (- 1.0 z) (log z))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series305.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
165.0ms	(+ (- 1.0 z) (log z))
77.0ms	(* y (+ (- 1.0 z) (log z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	359	419
1	1515	371
2	5001	370

prune138.0ms

Filtered

70 candidates to 45 candidates (64.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (- (log z) z))
0.0b	(+ (* x 0.5) (* y (+ 1.0 (- (log z) z))))
0.0b	(- (log z) z)
0.2b	(* y (+ 1.0 (- (log z) z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

7.0ms	(+ 1.0 (- (log z) z))
4.0ms	(+ (* x 0.5) (* y (+ 1.0 (- (log z) z))))
4.0ms	(- (log z) z)
9.0ms	(* y (+ 1.0 (- (log z) z)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(+ 1.0 (- (log z) z))
64.0ms	(+ (* x 0.5) (* y (+ 1.0 (- (log z) z))))
162.0ms	(- (log z) z)
80.0ms	(* y (+ 1.0 (- (log z) z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	403	489
1	1581	442
2	5001	440

prune175.0ms

Filtered

89 candidates to 60 candidates (67.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	89	6	95

Merged error: 0.0b

Counts

95 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
0.0b	(* y (- 1.0 z))
0.2b	(+ (* y (- 1.0 z)) (* y (log z)))
0.2b	(* y (log z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

8.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
6.0ms	(* y (- 1.0 z))
7.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series230.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
32.0ms	(* y (- 1.0 z))
93.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
42.0ms	(* y (log z))

simplify60.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	436	538
1	1993	482
2	5001	472

prune181.0ms

Filtered

98 candidates to 62 candidates (63.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.2b	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt` `add-log-exp`
9×	`cbrt-prod`
8×	`distribute-lft-out`
7×	`associate-r`
6×	`add-exp-log` `associate-+r+` `log-prod` `add-cbrt-cube`
4×	`sum-log` `log-pow` `distribute-lft-out--`
3×	`associate-+l+` `associate-l`
2×	`flip3-+` `pow1/3` `diff-log` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `sub-neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

12.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
13.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series882.0ms

Counts

4 → 12

Calls

4 calls:

339.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
178.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
188.0ms	(cbrt z)
177.0ms	(cbrt z)

simplify41.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	317	676
1	1327	594
2	5002	546

prune215.0ms

Filtered

87 candidates to 65 candidates (74.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	87	6	93

Merged error: 0.0b

Counts

93 → 6

regimes178.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

427.0ms	9150×	body	80	valid
343.0ms	9133×	body	80	nan

Details

sample43.0ms

simplify57.0ms

prune2.0ms

localize13.0ms

rewrite24.0ms

series305.0ms

simplify46.0ms

prune138.0ms

localize9.0ms

rewrite26.0ms

series470.0ms

simplify48.0ms

prune175.0ms

localize10.0ms

rewrite28.0ms

series230.0ms

simplify60.0ms

prune181.0ms

localize13.0ms

rewrite30.0ms

series882.0ms

simplify41.0ms

prune215.0ms

regimes178.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample1.2s

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