Details

Time bar (total: 2.8s)

sample26.0ms

Algorithm
intervals
Results
15.0ms485×body80valid

simplify301.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
0146
1294
2504
3703
4823
51253
62293
73213
83363
94363
107903
1134923
1250013

prune5.0ms

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: 0.1b

Counts
2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(fma 3 (* y y) (* x x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma 3 (* y y) (* x x))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(fma 3 (* y y) (* x x))

simplify52.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03359
18452
226752
3108952
4500252

prune31.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New10313
Fresh011
Picked011
Done000
Total10515

Merged error: 0.1b

Counts
15 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x x) (* y y)) (* y y))
0.0b
(+ (* x x) (* y y))
0.2b
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
7×fma-def
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
2×associate-+l+
Counts
3 → 51
Calls
3 calls:
6.0ms
(+ (+ (* x x) (* y y)) (* y y))
4.0ms
(+ (* x x) (* y y))
9.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series102.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (+ (* x x) (* y y)) (* y y))
30.0ms
(+ (* x x) (* y y))
36.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify134.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (129.0ms)

IterNodesCost
0237373
11141313
24748287
35001286

prune120.0ms

Filtered
60 candidates to 47 candidates (78.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New55560
Fresh213
Picked101
Done011
Total58765

Merged error: 0.0b

Counts
65 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.2b
(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))
5.9b
(sqrt (+ (+ (* x x) (* y y)) (* y y)))
5.9b
(sqrt (+ (+ (* x x) (* y y)) (* y y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
6×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod add-log-exp
4×add-exp-log expm1-log1p-u sqrt-div add-cbrt-cube log1p-expm1-u
3×flip3-+ flip-+
2×rem-sqrt-square sqrt-pow1 pow1/2 hypot-def
1×+-commutative fma-def sum-log fma-udef
Counts
4 → 60
Calls
4 calls:
4.0ms
(+ (* x x) (* y y))
1.0ms
(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))
5.0ms
(sqrt (+ (+ (* x x) (* y y)) (* y y)))
5.0ms
(sqrt (+ (+ (* x x) (* y y)) (* y y)))

series260.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* x x) (* y y))
129.0ms
(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))
52.0ms
(sqrt (+ (+ (* x x) (* y y)) (* y y)))
52.0ms
(sqrt (+ (+ (* x x) (* y y)) (* y y)))

simplify81.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0200583
1838494
22618468
35001441

prune179.0ms

Filtered
72 candidates to 62 candidates (86.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New70272
Fresh145
Picked011
Done011
Total71879

Merged error: 0.0b

Counts
79 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot x (* (sqrt 2) y))
0.2b
(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))
0.4b
(* (sqrt 2) y)
5.9b
(sqrt (+ (+ (* x x) (* y y)) (* y y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×pow1 sqrt-prod
6×add-exp-log associate-*l* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r*
2×sqrt-div unswap-sqr
1×rem-sqrt-square hypot-udef sqrt-pow1 flip3-+ pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ fma-udef hypot-def
Counts
4 → 62
Calls
4 calls:
1.0ms
(hypot x (* (sqrt 2) y))
1.0ms
(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))
5.0ms
(* (sqrt 2) y)
6.0ms
(sqrt (+ (+ (* x x) (* y y)) (* y y)))

series501.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(hypot x (* (sqrt 2) y))
283.0ms
(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))
43.0ms
(* (sqrt 2) y)
51.0ms
(sqrt (+ (+ (* x x) (* y y)) (* y y)))

simplify37.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0218489
1897432
25001383

prune198.0ms

Filtered
74 candidates to 60 candidates (81.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New72274
Fresh325
Picked101
Done112
Total77582

Merged error: 0.0b

Counts
82 → 5

regimes87.0ms

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
063

end0.0ms

sample604.0ms

Algorithm
intervals
Results
387.0ms14288×body80valid

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