Details

Time bar (total: 1.9s)

sample123.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.215698%

Results
11.0ms256×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0189
1369
2689
31179
41749
51959
61979
71979

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.6b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
4.3b
(- (* x x) (* (* y 4.0) y))
30.0b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite17.0ms

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

series30.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* x x) (* (* y 4.0) y))
7.0ms
(- (* x x) (* (* y 4.0) y))
16.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0234680
11007622
25001620

prune98.0ms

Filtered
49 candidates to 64 candidates (-30.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New60464
Fresh000
Picked101
Done000
Total61465

Merged error: 0.6b

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

prune8.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044

Merged error: 0.6b

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))))
20.0b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
23.5b
(/ (* 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))
14.0ms
(- (/ (* 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)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (* x x) (* (* y 4.0) y))
18.0ms
(- (/ (* 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)))
9.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0396987
11934882
25001881

prune113.0ms

Filtered
67 candidates to 91 candidates (-35.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh022
Picked011
Done011
Total91495

Merged error: 0.6b

Counts
95 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
0.0b
(cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3))
4.3b
(- (* x x) (* (* y 4.0) y))
30.0b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
42×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×cbrt-prod
30×unpow-prod-down cube-prod
10×associate-/r/
9×add-exp-log add-cbrt-cube
6×add-log-exp
5×pow1 flip3-+ flip-+ div-inv
3×pow-unpow associate-/r* associate-/l*
2×cbrt-undiv cube-div cube-mult flip3-- unpow3 div-exp pow-exp flip-- associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp sub-neg cbrt-div pow-pow frac-2neg pow1/3 diff-log div-sub clear-num rem-cbrt-cube
Counts
4 → 140
Calls
4 calls:
8.0ms
(pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
8.0ms
(cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3))
3.0ms
(- (* x x) (* (* y 4.0) y))
10.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series45.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
12.0ms
(cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3))
7.0ms
(- (* x x) (* (* y 4.0) y))
12.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify86.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
04822261
124192131
250022116

prune170.0ms

Filtered
85 candidates to 152 candidates (-78.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1520152
Fresh011
Picked011
Done022
Total1524156

Merged error: 0.6b

Counts
156 → 4

regimes273.0ms

Accuracy

63% (11.6b remaining)

Error of 12.0b against oracle of 0.4b and baseline of 31.7b

bsearch29.0ms

Steps
ItersRangePoint
7
2.4552362809906736e+214
4.293340118245201e+215
3.40035128128522e+215
7
3.0021654996455695e-243
1.0050762401092852e-241
3.5574927132133642e-242

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02316
12316

end0.0ms

sample638.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.215698%

Results
348.0ms8000×body80valid

Profiling

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