Details

Time bar (total: 2.1s)

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
5.0ms256×pre80true

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0236
1526
21176
32406
44786
59476
618446
750016

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.5b

Counts
2 → 2

localize12.0ms

Local error

Found 1 expressions with local error:

20.6b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
6×add-exp-log add-cbrt-cube
4×frac-times flip3-+ flip-+
3×add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity times-frac associate-/r* flip--
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/r/
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 33
Calls
1 calls:
12.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0279306
11480261
25001254

prune81.0ms

Filtered
36 candidates to 30 candidates (83.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New33336
Fresh011
Picked101
Done000
Total34438

Merged error: 0.3b

Counts
38 → 4

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune4.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044

Merged error: 0.3b

Counts
4 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (/ (fma x x (* y y)) (+ x y)))
19.8b
(/ (fma x x (* y y)) (+ x y))

rewrite25.0ms

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:
11.0ms
(/ (- x y) (/ (fma x x (* y y)) (+ x y)))
5.0ms
(/ (fma x x (* y y)) (+ x y))

series139.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ (- x y) (/ (fma x x (* y y)) (+ x y)))
68.0ms
(/ (fma x x (* y y)) (+ x y))

simplify82.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06402000
127371832
250011825

prune292.0ms

Filtered
174 candidates to 115 candidates (66.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1722174
Fresh112
Picked011
Done101
Total1744178

Merged error: 0.0b

Counts
178 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot x y)
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)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
33×add-sqr-sqrt
30×times-frac
24×add-cube-cbrt
20×add-exp-log add-cbrt-cube
18×associate-*r*
8×associate-/l*
7×distribute-lft-out
6×pow1 cbrt-undiv div-exp
5×associate-/r* associate-/r/
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×associate-*l* div-inv
2×frac-2neg flip3-+ associate-*r/ clear-num flip-+ associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×hypot-udef flip3-- div-sub pow-prod-down *-commutative flip--
Counts
4 → 117
Calls
4 calls:
1.0ms
(hypot x y)
11.0ms
(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))
5.0ms
(/ (hypot x y) (+ x y))
9.0ms
(* (hypot x y) (/ (hypot x y) (+ x y)))

series319.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(hypot x y)
91.0ms
(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))
90.0ms
(/ (hypot x y) (+ x y))
89.0ms
(* (hypot x y) (/ (hypot x y) (+ x y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0378858
11715740
25001733

prune209.0ms

Filtered
129 candidates to 96 candidates (74.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1281129
Fresh022
Picked101
Done011
Total1294133

Merged error: 0b

Counts
133 → 4

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01426
11426

end0.0ms

sample603.0ms

Algorithm
intervals
Results
308.0ms8000×body80valid
148.0ms8000×pre80true