Details

sample19.0ms

Algorithm

intervals

Results

7.0ms	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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.7b

localize8.0ms

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)))
20.1b	(/ (fma x x (* y y)) (+ x y))

rewrite34.0ms

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))
19.0ms	(/ (- x y) (/ (fma x x (* y y)) (+ x y)))
6.0ms	(/ (fma x x (* y y)) (+ x y))

series168.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(fma x x (* y y))
65.0ms	(/ (- x y) (/ (fma x x (* y y)) (+ x y)))
67.0ms	(/ (fma x x (* y y)) (+ x y))

simplify85.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 2 (66.0ms)

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

prune364.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

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:

5.0ms	(/ (hypot x y) (+ x y))
13.0ms	(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))
15.0ms	(* (hypot x y) (/ (hypot x y) (+ x y)))

series267.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (hypot x y) (+ x y))
90.0ms	(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))
88.0ms	(* (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

prune228.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

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))

rewrite5.0ms

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:

2.0ms	(cbrt (+ x y))
0.0ms	(cbrt (hypot x y))
1.0ms	(cbrt (hypot x y))
1.0ms	(cbrt (hypot x y))

series457.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (+ x y))
109.0ms	(cbrt (hypot x y))
115.0ms	(cbrt (hypot x y))
109.0ms	(cbrt (hypot x y))

simplify43.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (12.0ms)

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

prune243.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (/ (+ x y) (hypot x y)) (hypot x y))
0.0b	(/ (+ x y) (hypot x y))
0.1b	(* (- x y) (/ (/ (+ x y) (hypot x y)) (hypot x y)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

195×	`times-frac`
155×	`*-un-lft-identity`
114×	`add-sqr-sqrt`
103×	`add-cube-cbrt`
52×	`associate-r`
25×	`distribute-lft-out`
20×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1` `associate-l`
3×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp` `unswap-sqr`
2×	`frac-times` `flip3--` `frac-2neg` `associate-*l/` `clear-num` `flip--`
1×	`flip3-+` `associate-r/` `pow-prod-down` `-commutative` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 201

Calls

3 calls:

11.0ms	(/ (/ (+ x y) (hypot x y)) (hypot x y))
7.0ms	(/ (+ x y) (hypot x y))
35.0ms	(* (- x y) (/ (/ (+ x y) (hypot x y)) (hypot x y)))

series252.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ (/ (+ x y) (hypot x y)) (hypot x y))
87.0ms	(/ (+ x y) (hypot x y))
90.0ms	(* (- x y) (/ (/ (+ x y) (hypot x y)) (hypot x y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	623	1944
1	2891	1772
2	5001	1748

prune390.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes37.0ms

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

sample469.0ms

Algorithm

intervals

Results

223.0ms	8000×	body	80	valid
112.0ms	8000×	pre	80	true