Details

sample31.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify68.0ms

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (/ (fma x x (* y y)) (+ x y)))
17.5b	(/ (fma x x (* y y)) (+ x y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
160×	`*-un-lft-identity`
116×	`add-sqr-sqrt`
78×	`add-cube-cbrt`
22×	`associate-/r*` `distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv` `associate-/l*`
7×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3--` `div-sub` `flip--`

Counts

2 → 168

Calls

2 calls:

16.0ms	(/ (- x y) (/ (fma x x (* y y)) (+ x y)))
6.0ms	(/ (fma x x (* y y)) (+ x y))

series132.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ (- x y) (/ (fma x x (* y y)) (+ x y)))
63.0ms	(/ (fma x x (* y y)) (+ x y))

simplify80.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	640	2000
1	2737	1832
2	5001	1825

prune339.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
30×	`times-frac`
23×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
8×	`associate-/l*`
7×	`distribute-lft-out`
6×	`cbrt-undiv` `div-exp`
5×	`pow1` `associate-/r*` `associate-/r/`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `flip3-+` `associate-*r/` `clear-num` `flip-+` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`flip3--` `div-sub` `pow-prod-down` `*-commutative` `flip--`

Counts

3 → 107

Calls

3 calls:

16.0ms	(* (hypot x y) (/ (hypot x y) (+ x y)))
5.0ms	(/ (hypot x y) (+ x y))
16.0ms	(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))

series272.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(* (hypot x y) (/ (hypot x y) (+ x y)))
90.0ms	(/ (hypot x y) (+ x y))
92.0ms	(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	372	831
1	1709	716
2	5001	709

prune232.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (hypot x y) (+ x y))
0.0b	(cbrt (pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3))
0.0b	(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))
0.0b	(pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
37×	`add-sqr-sqrt` `times-frac`
26×	`cbrt-prod`
25×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
20×	`unpow-prod-down` `cube-prod`
9×	`cbrt-undiv` `div-exp`
8×	`associate-/l*`
7×	`associate-/r/`
6×	`div-inv` `distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-r/` `associate-/r`
4×	`expm1-log1p-u` `pow-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `rem-cube-cbrt`
3×	`pow-unpow`
2×	`cube-div` `cube-mult` `frac-2neg` `unpow3` `clear-num` `associate-/l/` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `flip3--` `pow-pow` `flip3-+` `pow1/3` `div-sub` `flip--` `rem-cbrt-cube` `flip-+`

Counts

4 → 152

Calls

4 calls:

6.0ms	(/ (hypot x y) (+ x y))
7.0ms	(cbrt (pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3))
13.0ms	(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))
12.0ms	(pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3)

series394.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(/ (hypot x y) (+ x y))
112.0ms	(cbrt (pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3))
91.0ms	(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))
101.0ms	(pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3)

simplify68.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	496	1399
1	2414	1313
2	5002	1313

prune337.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

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	10	7
1	10	7

end0.0ms

sample848.0ms

Algorithm

intervals

Results

545.0ms	8000×	body	80	valid
157.0ms	8000×	pre	80	true