Details

analyze172.0ms

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

sample20.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid
0.0ms	4×	body	80	nan

simplify167.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (162.0ms)

Iter	Nodes	Cost
0	4856	18
1	4856	18

prune3.0ms

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

rewrite25.0ms

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))
10.0ms	(* y (+ (- 1.0 z) (log z)))

series45.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify67.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5118	1071

prune84.0ms

Filtered

44 candidates to 69 candidates (-56.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	4	70

Merged error: 0.0b

Counts

70 → 4

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))

rewrite33.0ms

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:

9.0ms	(+ (* 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))

series43.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
5.0ms	(* y (- 1.0 z))
15.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
7.0ms	(* y (log z))

simplify57.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4990	1285
1	4990	1285

prune99.0ms

Filtered

64 candidates to 94 candidates (-46.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (* 2 (log (cbrt z))))
0.3b	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
54×	`distribute-rgt-in` `distribute-lft-in`
36×	`cbrt-prod`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`associate-+l+`
12×	`associate-+r+`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 112

Calls

4 calls:

7.0ms	(* y (* 2 (log (cbrt z))))
11.0ms	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series96.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* y (* 2 (log (cbrt z))))
24.0ms	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
23.0ms	(cbrt z)
24.0ms	(cbrt z)

simplify89.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5063	1762

prune131.0ms

Filtered

85 candidates to 124 candidates (-45.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	124	5	129

Merged error: 0.0b

Counts

129 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
0.5b	(* (log z) (log z))
5.3b	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
9.6b	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
23×	`pow1`
16×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-rgt-in` `log-prod` `distribute-lft-in` `distribute-lft-out--`
10×	`log-pow`
9×	`sub-neg`
8×	`times-frac` `associate-r` `associate-/r*`
7×	`associate-l`
6×	`swap-sqr` `associate--l+` `associate--r+` `add-log-exp`
4×	`flip3--` `associate-*r/` `flip--` `difference-of-squares`
3×	`prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 118

Calls

4 calls:

11.0ms	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
5.0ms	(* (log z) (log z))
13.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
21.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
15.0ms	(* (log z) (log z))
21.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
59.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

simplify100.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4955	2944
1	4955	2944

prune187.0ms

Filtered

87 candidates to 130 candidates (-49.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	130	5	135

Merged error: 0.0b

Counts

135 → 5

regimes249.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	21
1	28	21

end0.0ms

sample533.0ms

Algorithm

intervals

Results

346.0ms	8000×	body	80	valid
11.0ms	273×	body	80	invalid
3.0ms	82×	body	80	nan

Details

analyze172.0ms

sample20.0ms

simplify167.0ms

prune3.0ms

localize12.0ms

rewrite25.0ms

series45.0ms

simplify67.0ms

prune84.0ms

localize10.0ms

rewrite33.0ms

series43.0ms

simplify57.0ms

prune99.0ms

localize15.0ms

rewrite29.0ms

series96.0ms

simplify89.0ms

prune131.0ms

localize15.0ms

rewrite54.0ms

series103.0ms

simplify100.0ms

prune187.0ms

regimes249.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample533.0ms

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