Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	6
1	52	6
2	117	6
3	240	6
4	478	6
5	947	6
6	1844	6
7	5001	6

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 16.3b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(* (- x y) (+ x y))
16.4b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3-+` `flip-+` `associate-/l/`
7×	`add-cube-cbrt`
6×	`flip3--` `flip--`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-r/` `associate-r` `associate-l/`
3×	`expm1-log1p-u` `times-frac` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `distribute-rgt-in` `fma-def` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 80

Calls

3 calls:

4.0ms	(+ (* x x) (* y y))
9.0ms	(* (- x y) (+ x y))
13.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (* x x) (* y y))
40.0ms	(* (- x y) (+ x y))
64.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	435	575
1	2499	504
2	5001	494

prune166.0ms

Filtered

89 candidates to 68 candidates (76.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	86	5	91

Merged error: 0.2b

Counts

91 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x y) y)
0.0b	(+ (* (- x y) x) (* (- x y) y))
0.0b	(* (- x y) x)
16.4b	(/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`associate-*l/`
17×	`add-cube-cbrt`
12×	`times-frac`
10×	`add-exp-log` `flip3--` `associate-l` `add-cbrt-cube` `flip--`
8×	`pow1` `frac-add`
6×	`associate-r` `associate-/l/` `add-log-exp`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 108

Calls

4 calls:

6.0ms	(* (- x y) y)
8.0ms	(+ (* (- x y) x) (* (- x y) y))
7.0ms	(* (- x y) x)
12.0ms	(/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (- x y) y)
30.0ms	(+ (* (- x y) x) (* (- x y) y))
35.0ms	(* (- x y) x)
53.0ms	(/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	495	928
1	2352	820
2	5001	802

prune224.0ms

Filtered

120 candidates to 91 candidates (75.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	120	5	125

Merged error: 0.0b

Counts

125 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* (+ x y) 1) (hypot x y))
0.0b	(/ (- x y) (hypot x y))
0.0b	(* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
40×	`add-exp-log` `*-un-lft-identity`
37×	`times-frac`
31×	`add-cbrt-cube`
26×	`add-cube-cbrt`
19×	`associate-l`
14×	`div-exp` `prod-exp`
10×	`cbrt-undiv`
9×	`cbrt-unprod`
7×	`associate-r` `distribute-lft-out--` `difference-of-squares`
6×	`associate-/r` `associate-/l`
5×	`pow1`
4×	`div-inv` `associate-/l/`
3×	`expm1-log1p-u` `1-exp` `associate-*l/` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `unswap-sqr`
1×	`frac-times` `flip3--` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `-commutative` `flip--` `flip-+`

Counts

3 → 122

Calls

3 calls:

7.0ms	(/ (* (+ x y) 1) (hypot x y))
6.0ms	(/ (- x y) (hypot x y))
17.0ms	(* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))

series262.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(/ (* (+ x y) 1) (hypot x y))
86.0ms	(/ (- x y) (hypot x y))
90.0ms	(* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	499	1000
1	2192	852
2	5003	845

prune222.0ms

Filtered

131 candidates to 92 candidates (70.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	132	4	136

Merged error: 0b

Counts

136 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x y) (hypot x y))
0.0b	(log (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))))
0.0b	(/ (- x y) (hypot x y))
0.0b	(pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
54×	`times-frac`
43×	`add-cube-cbrt`
20×	`pow-pow`
19×	`exp-prod`
16×	`pow-unpow`
9×	`add-exp-log` `associate-/l*`
8×	`add-cbrt-cube`
7×	`log-prod` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`unpow-prod-down` `associate-/r*`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
3×	`rem-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `div-exp` `pow-exp` `clear-num` `sqr-pow`
1×	`flip3--` `flip3-+` `div-sub` `log-pow` `flip--` `flip-+`

Counts

4 → 146

Calls

4 calls:

9.0ms	(/ (+ x y) (hypot x y))
11.0ms	(log (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))))
11.0ms	(/ (- x y) (hypot x y))
22.0ms	(pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y)))

series508.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (+ x y) (hypot x y))
173.0ms	(log (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))))
84.0ms	(/ (- x y) (hypot x y))
168.0ms	(pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	460	1213
1	1894	1139
2	5002	1133

prune355.0ms

Filtered

158 candidates to 120 candidates (75.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	158	4	162

Merged error: 0b

Counts

162 → 4

regimes32.0ms

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	11	9
1	11	9

end0.0ms

sample591.0ms

Algorithm

intervals

Results

296.0ms	8000×	body	80	valid
153.0ms	8000×	pre	80	true

Details

sample28.0ms

simplify70.0ms

prune6.0ms

localize8.0ms

rewrite28.0ms

series132.0ms

simplify66.0ms

prune166.0ms

localize12.0ms

rewrite36.0ms

series155.0ms

simplify72.0ms

prune224.0ms

localize9.0ms

rewrite35.0ms

series262.0ms

simplify55.0ms

prune222.0ms

localize19.0ms

rewrite63.0ms

series508.0ms

simplify49.0ms

prune355.0ms

regimes32.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample591.0ms

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