Details

sample28.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
4.0ms	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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.7b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (* y y))
0.0b	(/ (- x y) (/ (fma x x (* y y)) (+ x y)))
17.2b	(/ (fma x x (* y y)) (+ x y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 178

Calls

3 calls:

0.0ms	(fma x x (* y y))
27.0ms	(/ (- x y) (/ (fma x x (* y y)) (+ x y)))
10.0ms	(/ (fma x x (* y y)) (+ x y))

series154.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(fma x x (* y y))
63.0ms	(/ (- x y) (/ (fma x x (* y y)) (+ x y)))
61.0ms	(/ (fma x x (* y y)) (+ x y))

simplify84.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	652	2043
1	2939	1866
2	5001	1860

prune825.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

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:

25.0ms	(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))
11.0ms	(/ (hypot x y) (+ x y))
31.0ms	(* (hypot x y) (/ (hypot x y) (+ x y)))

series246.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))
82.0ms	(/ (hypot x y) (+ x y))
81.0ms	(* (hypot x y) (/ (hypot x y) (+ x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (40.0ms)

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

prune479.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
49×	`times-frac`
45×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
18×	`associate-r`
15×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
12×	`associate-/r*`
9×	`associate-/l*`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 144

Calls

4 calls:

27.0ms	(* (hypot x y) (/ (hypot x y) (+ x y)))
10.0ms	(/ (hypot x y) (+ x y))
14.0ms	(/ (hypot x y) (+ x y))
11.0ms	(/ (hypot x y) (+ x y))

series326.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (hypot x y) (/ (hypot x y) (+ x y)))
83.0ms	(/ (hypot x y) (+ x y))
84.0ms	(/ (hypot x y) (+ x y))
79.0ms	(/ (hypot x y) (+ x y))

simplify87.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	225	919
1	931	836
2	3950	831
3	5002	831

prune2.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (hypot x y))
0.6b	(cbrt (hypot x y))
0.6b	(cbrt (hypot x y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 55

Calls

4 calls:

4.0ms	(cbrt (+ x y))
1.0ms	(cbrt (hypot x y))
1.0ms	(cbrt (hypot x y))
1.0ms	(cbrt (hypot x y))

series421.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (+ x y))
99.0ms	(cbrt (hypot x y))
101.0ms	(cbrt (hypot x y))
104.0ms	(cbrt (hypot x y))

simplify62.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	157	288
1	394	267
2	1277	259
3	5001	259

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	40
1	26	40

end0.0ms

sample659.0ms

Algorithm

intervals

Results

379.0ms	8000×	body	80	valid
129.0ms	8000×	pre	80	true