Details

Time bar (total: 2.0s)

sample21.0ms

Algorithm
intervals
Results
13.0ms357×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0143
1233
2303
3313
4313

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize4.0ms

Local error

Found 1 expressions with local error:

2.7b
(* x (+ 1.0 (* y y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
associate-*r/
distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
7.0ms
(* x (+ 1.0 (* y y)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* x (+ 1.0 (* y y)))

simplify84.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0148123
1742103
23453100
35001100

prune58.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.7b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (sqrt (+ 1.0 (* y y))))
0.0b
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
2.6b
(sqrt (+ 1.0 (* y y)))
2.6b
(sqrt (+ 1.0 (* y y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×sqrt-div
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
flip3-+ flip-+
expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative hypot-def unswap-sqr
Counts
4 → 93
Calls
4 calls:
11.0ms
(* x (sqrt (+ 1.0 (* y y))))
20.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
3.0ms
(sqrt (+ 1.0 (* y y)))
3.0ms
(sqrt (+ 1.0 (* y y)))

series204.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* x (sqrt (+ 1.0 (* y y))))
53.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
46.0ms
(sqrt (+ 1.0 (* y y)))
42.0ms
(sqrt (+ 1.0 (* y y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0318722
11367620
25002595

prune260.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.7b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* y y)))
9.1b
(* x (* y y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u
+-commutative fma-def flip3-+ associate-*r* sum-log *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* x (* y y)))
6.0ms
(* x (* y y))

series91.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(+ (* x 1.0) (* x (* y y)))
32.0ms
(* x (* y y))

simplify98.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0177177
1681146
22809143
35001142

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x y) y))
0.1b
(* (* x y) y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u
+-commutative fma-def flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 34
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* (* x y) y))
6.0ms
(* (* x y) y)

series91.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(+ (* x 1.0) (* (* x y) y))
31.0ms
(* (* x y) y)

simplify128.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
0184173
1862149
24478140
35001139

prune68.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes75.0ms

Accuracy

0% (0.1b 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)

IterNodesCost
0114
1114

end0.0ms

sample570.0ms

Algorithm
intervals
Results
405.0ms10751×body80valid