Details

Time bar (total: 16.2s)

sample20.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
4.0ms256×pre80true

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0236
1526
21176
32406
44786
59476
618446
750016

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 21.0b

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)))
20.0b
(/ (fma x x (* y y)) (+ x y))

rewrite35.0ms

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

series165.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(fma x x (* y y))
68.0ms
(/ (- x y) (/ (fma x x (* y y)) (+ x y)))
64.0ms
(/ (fma x x (* y y)) (+ x y))

simplify88.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06522043
129391866
250011860

prune371.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
27×add-sqr-sqrt
25×times-frac
22×add-cube-cbrt
18×associate-*r*
11×add-exp-log add-cbrt-cube
7×distribute-lft-out
6×pow1
4×expm1-log1p-u associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/l*
2×cbrt-undiv hypot-udef flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 94
Calls
4 calls:
5.0ms
(/ (hypot x y) (+ x y))
0.0ms
(hypot x y)
0.0ms
(hypot x y)
18.0ms
(* (hypot x y) (/ (hypot x y) (+ x y)))

series271.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ (hypot x y) (+ x y))
49.0ms
(hypot x y)
44.0ms
(hypot x y)
88.0ms
(* (hypot x y) (/ (hypot x y) (+ x y)))

simplify87.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0232551
1941490
23962485
35001485

prune225.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

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 (1.0ms)

IterNodesCost
000

prune6.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (/ (fma x x (* y y)) (+ x y)))
0.0b
(- (/ x (/ (fma x x (* y y)) (+ x y))) (/ y (/ (fma x x (* y y)) (+ x y))))
20.0b
(/ (fma x x (* y y)) (+ x y))
20.0b
(/ (fma x x (* y y)) (+ x y))

rewrite844.0ms

Algorithm
rewrite-expression-head
Rules
10938×times-frac
7472×*-un-lft-identity
5246×add-sqr-sqrt
5210×add-cube-cbrt
3481×prod-diff
1103×distribute-lft-out
852×associate-/r/
487×div-inv
365×flip3-+ flip-+
59×fma-neg
26×associate-/r*
25×distribute-lft-out--
13×add-exp-log add-cbrt-cube
9×associate-/l* difference-of-squares
6×add-log-exp
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
2×distribute-rgt-out--
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
4 → 3754
Calls
4 calls:
9.0ms
(/ y (/ (fma x x (* y y)) (+ x y)))
273.0ms
(- (/ x (/ (fma x x (* y y)) (+ x y))) (/ y (/ (fma x x (* y y)) (+ x y))))
5.0ms
(/ (fma x x (* y y)) (+ x y))
5.0ms
(/ (fma x x (* y y)) (+ x y))

series272.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(/ y (/ (fma x x (* y y)) (+ x y)))
75.0ms
(- (/ x (/ (fma x x (* y y)) (+ x y))) (/ y (/ (fma x x (* y y)) (+ x y))))
70.0ms
(/ (fma x x (* y y)) (+ x y))
64.0ms
(/ (fma x x (* y y)) (+ x y))

simplify1.7s

Algorithm
egg-herbie
Counts
3766 → 3766
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05001215551

prune11.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes38.0ms

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)

IterNodesCost
0107
1107

end0.0ms

sample467.0ms

Algorithm
intervals
Results
227.0ms8000×body80valid
106.0ms8000×pre80true