Details

sample42.0ms

Algorithm

intervals

Results

14.0ms	303×	body	80	valid
12.0ms	327×	body	80	nan

simplify56.0ms

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

localize12.0ms

Local error

Found 3 expressions with local error:

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

7.0ms	(+ (- 1.0 z) (log z))
5.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series297.0ms

Counts

3 → 9

Calls

3 calls:

165.0ms	(+ (- 1.0 z) (log z))
57.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
75.0ms	(* y (+ (- 1.0 z) (log z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (41.0ms)

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

prune137.0ms

Filtered

70 candidates to 45 candidates (64.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	5	71

Merged error: 0.0b

Counts

71 → 5

localize14.0ms

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)

series864.0ms

Counts

4 → 12

Calls

4 calls:

336.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
173.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
174.0ms	(cbrt z)
181.0ms	(cbrt z)

simplify43.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	317	676
1	1327	592
2	5001	543

prune237.0ms

Filtered

87 candidates to 65 candidates (74.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	86	6	92

Merged error: 0b

Counts

92 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
0.3b	(* y (log z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

7.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
5.0ms	(* y (log z))

series102.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
42.0ms	(* y (log z))

simplify125.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	263	338
1	979	298
2	4377	281
3	5002	278

prune101.0ms

Filtered

50 candidates to 31 candidates (62.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	51	5	56

Merged error: 0b

Counts

56 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt z))
0.1b	(+ (+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* x 0.5)) (* y (log (sqrt z))))
0.1b	(* y (+ (- 1.0 z) (log (sqrt z))))
0.3b	(* y (log (sqrt z)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
26×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
15×	`sqrt-prod`
14×	`pow1`
13×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
12×	`associate-+r+`
9×	`add-exp-log` `add-log-exp`
8×	`log-pow` `add-cbrt-cube`
6×	`associate-l`
4×	`distribute-lft-out`
3×	`sum-log`
2×	`sqrt-pow1` `flip3-+` `pow1/2` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `rem-log-exp`

Counts

4 → 101

Calls

4 calls:

2.0ms	(log (sqrt z))
14.0ms	(+ (+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* x 0.5)) (* y (log (sqrt z))))
10.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
5.0ms	(* y (log (sqrt z)))

series475.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(log (sqrt z))
140.0ms	(+ (+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* x 0.5)) (* y (log (sqrt z))))
109.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
128.0ms	(* y (log (sqrt z)))

simplify66.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	513	921
1	2158	858
2	5002	846

prune257.0ms

Filtered

113 candidates to 77 candidates (68.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0b

Counts

118 → 5

regimes96.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

440.0ms	9224×	body	80	valid
350.0ms	8859×	body	80	nan

Details

sample42.0ms

simplify56.0ms

prune2.0ms

localize12.0ms

rewrite24.0ms

series297.0ms

simplify47.0ms

prune137.0ms

localize14.0ms

rewrite30.0ms

series864.0ms

simplify43.0ms

prune237.0ms

localize11.0ms

rewrite13.0ms

series102.0ms

simplify125.0ms

prune101.0ms

localize13.0ms

rewrite35.0ms

series475.0ms

simplify66.0ms

prune257.0ms

regimes96.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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