Details

analyze276.0ms

Algorithm: search

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	16×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	3
1	42	3
2	82	3
3	126	3
4	138	3
5	140	3
6	140	3

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

9.0ms

(* (+ x y) (+ z 1.0))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (+ x y) (+ z 1.0))

simplify31.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	265	187
1	1154	173
2	5002	173

prune43.0ms

Filtered

24 candidates to 33 candidates (-37.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0b

Counts

34 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
21×	`*-un-lft-identity`
17×	`add-sqr-sqrt` `sqrt-prod`
16×	`associate-*l/`
14×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
5×	`associate-l` `distribute-lft-out`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

3.0ms	(sqrt (+ z 1.0))
3.0ms	(sqrt (+ z 1.0))
8.0ms	(* (+ x y) (sqrt (+ z 1.0)))
13.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

series27.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (+ z 1.0))
3.0ms	(sqrt (+ z 1.0))
13.0ms	(* (+ x y) (sqrt (+ z 1.0)))
7.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	518	1060
1	1934	964
2	5001	952

prune175.0ms

Filtered

88 candidates to 124 candidates (-40.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	124	3	127

Merged error: 0b

Counts

127 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x y) (- z 1.0))
2.0b	(- (* x x) (* y y))
2.9b	(* (- (* x x) (* y y)) (- (* z z) (* 1.0 1.0)))
30.3b	(/ (* (- (* x x) (* y y)) (- (* z z) (* 1.0 1.0))) (* (- x y) (- z 1.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

25×	`flip3--` `flip--`
20×	`add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt` `frac-times`
12×	`*-un-lft-identity`
9×	`associate-r` `associate-l`
8×	`pow1` `add-cube-cbrt` `associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`sub-neg` `difference-of-squares`
4×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp`
2×	`pow-prod-down` `*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 116

Calls

4 calls:

8.0ms	(* (- x y) (- z 1.0))
3.0ms	(- (* x x) (* y y))
8.0ms	(* (- (* x x) (* y y)) (- (* z z) (* 1.0 1.0)))
15.0ms	(/ (* (- (* x x) (* y y)) (- (* z z) (* 1.0 1.0))) (* (- x y) (- z 1.0)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- x y) (- z 1.0))
6.0ms	(- (* x x) (* y y))
18.0ms	(* (- (* x x) (* y y)) (- (* z z) (* 1.0 1.0)))
75.0ms	(/ (* (- (* x x) (* y y)) (- (* z z) (* 1.0 1.0))) (* (- x y) (- z 1.0)))

simplify124.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	700	1279
1	4471	1059
2	5001	1059

prune146.0ms

Filtered

94 candidates to 128 candidates (-36.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	128	3	131

Merged error: 0b

Counts

131 → 3

regimes250.0ms

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	10	3
1	10	3

end0.0ms

analyze268.0ms

Algorithm: search

sample347.0ms

Algorithm

intervals

Results

179.0ms	7994×	body	80	valid
16.0ms	607×	body	80	invalid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze276.0ms

sample14.0ms

simplify12.0ms

prune3.0ms

localize5.0ms

rewrite10.0ms

series7.0ms

simplify31.0ms

prune43.0ms

localize7.0ms

rewrite32.0ms

series27.0ms

simplify54.0ms

prune175.0ms

localize13.0ms

rewrite39.0ms

series107.0ms

simplify124.0ms

prune146.0ms

regimes250.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze268.0ms

sample347.0ms

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