Details

Time bar (total: 1.9s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0189
1369
2689
31179
41749
51959
61979
71979

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.4b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
4.3b
(- (* x x) (* (* y 4.0) y))
27.8b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite16.0ms

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))
3.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series137.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (* x x) (* (* y 4.0) y))
40.0ms
(- (* x x) (* (* y 4.0) y))
61.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify35.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0234680
11007622
25001620

prune107.0ms

Filtered
64 candidates to 49 candidates (76.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New61364
Fresh000
Picked101
Done000
Total62365

Merged error: 0.8b

Counts
65 → 3

localize8.0ms

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))))
19.8b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
21.5b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite34.0ms

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))
13.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
8.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
6.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series209.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* x x) (* (* y 4.0) y))
70.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
52.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
51.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0396987
11934882
25001881

prune140.0ms

Filtered
91 candidates to 67 candidates (73.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New90191
Fresh022
Picked011
Done000
Total90494

Merged error: 0.8b

Counts
94 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

10.1b
(sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
19.8b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
19.8b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
21.5b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity times-frac
9×associate-/r* sqrt-prod
8×cbrt-undiv div-exp associate-/r/
7×prod-exp cbrt-unprod
5×pow1
4×flip3-+ flip-+ div-inv add-log-exp
3×frac-2neg clear-num associate-/l*
1×rem-sqrt-square sqrt-pow1 pow1/2 sqrt-div
Counts
4 → 93
Calls
4 calls:
6.0ms
(sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
9.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
9.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
7.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series269.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
56.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
56.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
49.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0330998
11627848
25002847

prune197.0ms

Filtered
105 candidates to 75 candidates (71.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh022
Picked011
Done011
Total1054109

Merged error: 0.8b

Counts
109 → 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

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.8b

Counts
4 → 4

regimes117.0ms

Accuracy

61.5% (12.1b remaining)

Error of 12.4b against oracle of 0.3b and baseline of 31.7b

bsearch100.0ms

Steps
ItersRangePoint
7
1.2852110511175905e+263
1.7099513529809123e+265
7.126324841614259e+264
5
4.23483577956819e-83
9.175589366799923e-83
4.861731926005758e-83
7
5.990820706159596e-103
2.2155853043479564e-101
7.086453516055837e-102
9
1.8698051016504626e-274
2.787242369692249e-269
6.835783850028189e-273

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02932
12932

end0.0ms

sample385.0ms

Algorithm
intervals
Results
262.0ms8000×body80valid

Profiling

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