Details

analyze282.0ms

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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	30×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	345	9
1	345	9

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.0b	(+ (* (- 1.0 x) y) (* x z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (- 1.0 x) y)
6.0ms	(+ (* (- 1.0 x) y) (* x z))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (- 1.0 x) y)
10.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify50.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4979	345
1	4979	345

prune50.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (+ 1.0 x))
0.0b	(+ (/ (* (- 1.0 x) (* y (+ 1.0 x))) (+ 1.0 x)) (* x z))
0.1b	(* (- 1.0 x) (* y (+ 1.0 x)))
6.0b	(/ (* (- 1.0 x) (* y (+ 1.0 x))) (+ 1.0 x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
17×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
11×	`pow1`
9×	`add-cube-cbrt` `flip3-+` `flip-+`
8×	`frac-times` `associate-l` `associate-/l/`
7×	`prod-exp` `cbrt-unprod`
6×	`flip3--` `flip--` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`times-frac` `pow-prod-down` `associate-l/` `associate-/r`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out`
2×	`associate-/r/` `*-commutative`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

6.0ms	(* y (+ 1.0 x))
13.0ms	(+ (/ (* (- 1.0 x) (* y (+ 1.0 x))) (+ 1.0 x)) (* x z))
9.0ms	(* (- 1.0 x) (* y (+ 1.0 x)))
13.0ms	(/ (* (- 1.0 x) (* y (+ 1.0 x))) (+ 1.0 x))

series27.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* y (+ 1.0 x))
8.0ms	(+ (/ (* (- 1.0 x) (* y (+ 1.0 x))) (+ 1.0 x)) (* x z))
7.0ms	(* (- 1.0 x) (* y (+ 1.0 x)))
5.0ms	(/ (* (- 1.0 x) (* y (+ 1.0 x))) (+ 1.0 x))

simplify55.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4990	1149
1	4990	1149

prune119.0ms

Filtered

72 candidates to 113 candidates (-56.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `sqrt-div` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `associate-l` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
9×	`associate-r`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

3.0ms	(sqrt (- 1.0 x))
12.0ms	(+ (* (sqrt (- 1.0 x)) (* y (sqrt (- 1.0 x)))) (* x z))
7.0ms	(* y (sqrt (- 1.0 x)))
11.0ms	(* (sqrt (- 1.0 x)) (* y (sqrt (- 1.0 x))))

series26.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (- 1.0 x))
8.0ms	(+ (* (sqrt (- 1.0 x)) (* y (sqrt (- 1.0 x)))) (* x z))
8.0ms	(* y (sqrt (- 1.0 x)))
7.0ms	(* (sqrt (- 1.0 x)) (* y (sqrt (- 1.0 x))))

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5060	1021

prune134.0ms

Filtered

69 candidates to 97 candidates (-40.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	97	4	101

Merged error: 0b

Counts

101 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (* x z))
1.8b	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* x (* z (* x z))))
4.5b	(* x (* z (* x z)))
29.3b	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* x (* z (* x z)))) (- (* (- 1.0 x) y) (* x z)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`associate-r` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 82

Calls

4 calls:

5.0ms	(* z (* x z))
14.0ms	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* x (* z (* x z))))
6.0ms	(* x (* z (* x z)))
24.0ms	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* x (* z (* x z)))) (- (* (- 1.0 x) y) (* x z)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* z (* x z))
25.0ms	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* x (* z (* x z))))
10.0ms	(* x (* z (* x z)))
45.0ms	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* x (* z (* x z)))) (- (* (- 1.0 x) y) (* x z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5051	1521

prune119.0ms

Filtered

68 candidates to 94 candidates (-38.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	94	4	98

Merged error: 0b

Counts

98 → 4

regimes194.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample405.0ms

Algorithm

intervals

Results

216.0ms	8000×	body	80	valid
20.0ms	706×	body	80	invalid

Details

analyze282.0ms

sample17.0ms

simplify13.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series15.0ms

simplify50.0ms

prune50.0ms

localize9.0ms

rewrite43.0ms

series27.0ms

simplify55.0ms

prune119.0ms

localize9.0ms

rewrite35.0ms

series26.0ms

simplify48.0ms

prune134.0ms

localize12.0ms

rewrite51.0ms

series84.0ms

simplify47.0ms

prune119.0ms

regimes194.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample405.0ms

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