Details

Time bar (total: 1.7s)

sample21.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0189
1369
2689
31179
41749
51959
61979
71979

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.4b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
3.1b
(- (* x x) (* (* y 4.0) y))
31.8b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 55
Calls
3 calls:
4.0ms
(+ (* x x) (* (* y 4.0) y))
7.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series26.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* x x) (* (* y 4.0) y))
7.0ms
(- (* x x) (* (* y 4.0) y))
12.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify35.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0234680
11007622
25001620

prune101.0ms

Filtered
64 candidates to 49 candidates (23.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New60464
Fresh000
Picked101
Done000
Total61465

Merged error: 0.5b

Counts
65 → 4

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune7.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044

Merged error: 0.5b

Counts
4 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
0.0b
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
22.9b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
23.8b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
10×*-un-lft-identity
8×add-cube-cbrt associate-/r/ add-log-exp
7×times-frac
6×associate-/r*
5×cbrt-undiv flip3-+ div-exp flip-+
4×pow1 prod-exp cbrt-unprod div-inv
3×distribute-rgt-out--
2×frac-2neg clear-num associate-/l* difference-of-squares
1×+-commutative sub-neg flip3-- diff-log sum-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
4 → 79
Calls
4 calls:
4.0ms
(+ (* x x) (* (* y 4.0) y))
14.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
6.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
8.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (* x x) (* (* y 4.0) y))
17.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
8.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
9.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0396987
11942882
25001881

prune120.0ms

Filtered
91 candidates to 67 candidates (26.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh022
Picked011
Done011
Total91495

Merged error: 0.5b

Counts
95 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
0.0b
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
3.1b
(- (* x x) (* (* y 4.0) y))
31.8b
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×div-exp add-log-exp
6×flip3-- flip-- div-inv associate-/l*
5×pow1
4×cbrt-undiv
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/
1×+-commutative sub-neg pow-flip diff-log sum-log inv-pow
Counts
4 → 138
Calls
4 calls:
4.0ms
(+ (* x x) (* (* y 4.0) y))
10.0ms
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
4.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (* x x) (* (* y 4.0) y))
12.0ms
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
7.0ms
(- (* x x) (* (* y 4.0) y))
12.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04612223
123262035
250021899

prune157.0ms

Filtered
150 candidates to 86 candidates (42.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1500150
Fresh011
Picked011
Done022
Total1504154

Merged error: 0.5b

Counts
154 → 4

regimes214.0ms

Accuracy

55.6% (14.1b remaining)

Error of 14.5b against oracle of 0.4b and baseline of 32.1b

bsearch71.0ms

Steps
ItersRangePoint
10
9.505106128559536e+57
6.59646740926997e+68
3.8241169029132044e+68
8
2.468320568692385e-62
6.933898777899373e-59
9.659493131990038e-60
5
-3.1670963927008932e-118
-1.5035247573078511e-118
-1.7546357657244188e-118
7
-5.858524132343803e-50
-3.2364377234322937e-52
-1.3355785139393343e-51
8
-1589082160660466.2
-61476344590.049736
-453786506312159.2

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03228
13228

end0.0ms

sample565.0ms

Algorithm
intervals
Results
352.0ms8000×body80valid

Profiling

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