Details

analyze178.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

sample21.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	13×	body	80	invalid
0.0ms	2×	body	80	nan

simplify151.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (149.0ms)

Iter	Nodes	Cost
0	4855	12
1	4855	12

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

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` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `associate-+l+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 60

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)))

series43.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
14.0ms	(+ (- 1.0 z) (log z))
14.0ms	(* y (+ (- 1.0 z) (log z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5073	702

prune100.0ms

Filtered

48 candidates to 69 candidates (-43.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

10.0ms	(+ (* x 0.5) (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
14.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
8.0ms	(+ (- 1.0 z) (log (sqrt z)))
18.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

series45.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* x 0.5) (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
6.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
5.0ms	(+ (- 1.0 z) (log (sqrt z)))
14.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

simplify29.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5295	1195

prune309.0ms

Filtered

75 candidates to 112 candidates (-49.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	113	5	118

Merged error: 0.0b

Counts

118 → 5

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)))
0.3b	(* y (log z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
11×	`add-log-exp`
9×	`pow1` `associate-r`
8×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
7×	`associate-+r+`
6×	`associate-l`
4×	`sub-neg` `sum-log`
2×	`+-commutative` `associate-+l+` `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 → 82

Calls

4 calls:

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

series44.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
5.0ms	(* y (- 1.0 z))
17.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
7.0ms	(* y (log z))

simplify40.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5059	851

prune114.0ms

Filtered

65 candidates to 94 candidates (-44.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	94	5	99

Merged error: 0b

Counts

99 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.5) (+ (* y (+ 1.0 (- (log (sqrt z)) z))) (* y (log (sqrt z)))))
0.2b	(+ (* y (+ 1.0 (- (log (sqrt z)) z))) (* y (log (sqrt z))))
0.2b	(* y (+ 1.0 (- (log (sqrt z)) z)))
0.3b	(* y (log (sqrt z)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
23×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-+r+`
12×	`associate-r` `sqrt-prod`
11×	`pow1` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l`
4×	`sum-log` `log-pow` `distribute-lft-out`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l+` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`sqrt-pow1` `pow1/2`

Counts

4 → 97

Calls

4 calls:

12.0ms	(+ (* x 0.5) (+ (* y (+ 1.0 (- (log (sqrt z)) z))) (* y (log (sqrt z)))))
12.0ms	(+ (* y (+ 1.0 (- (log (sqrt z)) z))) (* y (log (sqrt z))))
9.0ms	(* y (+ 1.0 (- (log (sqrt z)) z)))
5.0ms	(* y (log (sqrt z)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (* x 0.5) (+ (* y (+ 1.0 (- (log (sqrt z)) z))) (* y (log (sqrt z)))))
14.0ms	(+ (* y (+ 1.0 (- (log (sqrt z)) z))) (* y (log (sqrt z))))
11.0ms	(* y (+ 1.0 (- (log (sqrt z)) z)))
10.0ms	(* y (log (sqrt z)))

simplify35.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5588	1529

prune109.0ms

Filtered

77 candidates to 109 candidates (-41.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	110	4	114

Merged error: 0b

Counts

114 → 4

regimes198.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	28	17
1	28	17

end0.0ms

sample557.0ms

Algorithm

intervals

Results

366.0ms	8000×	body	80	valid
16.0ms	308×	body	80	invalid
2.0ms	66×	body	80	nan

Details

analyze178.0ms

sample21.0ms

simplify151.0ms

prune10.0ms

localize9.0ms

rewrite24.0ms

series43.0ms

simplify51.0ms

prune100.0ms

localize12.0ms

rewrite54.0ms

series45.0ms

simplify29.0ms

prune309.0ms

localize10.0ms

rewrite29.0ms

series44.0ms

simplify40.0ms

prune114.0ms

localize13.0ms

rewrite44.0ms

series53.0ms

simplify35.0ms

prune109.0ms

regimes198.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample557.0ms

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