Details

Time bar (total: 2.6s)

analyze14.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
49.9%49.9%0.1%5
74.9%25%0.1%6
87.4%12.5%0.1%7
93.6%6.2%0.1%8
96.7%3.1%0.1%9
98.3%1.6%0.1%10
99.1%0.8%0.1%11
99.5%0.4%0.1%12
99.7%0.2%0.1%13
99.8%0.1%0.1%14

sample20.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02114
12114

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 35.5b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.1b
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
32.8b
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×sqrt-prod
5×add-exp-log add-cbrt-cube add-log-exp
4×pow1
3×associate-/r* associate-/l*
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv +-commutative frac-2neg sqrt-pow1 pow1/2 sqrt-div div-exp clear-num sum-log
Counts
3 → 65
Calls
3 calls:
4.0ms
(+ (* x x) (* y y))
9.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
6.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

series45.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* x x) (* y y))
13.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
27.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049411233
149411233

prune127.0ms

Filtered
62 candidates to 74 candidates (-19.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New69574
Fresh000
Picked011
Done000
Total69675

Merged error: 17.2b

Counts
75 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y y) (* z z))
0.4b
(* (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt (/ 1 3.0)))
32.8b
(sqrt (+ (* x x) (+ (* y y) (* z z))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
29×sqrt-prod
16×*-un-lft-identity associate-*r*
14×add-cube-cbrt
13×times-frac
9×sqrt-div
8×pow1 unswap-sqr
6×associate-*l*
5×add-exp-log add-cbrt-cube add-log-exp
4×flip3-+ flip-+
3×sqrt-pow1 pow1/2 pow-prod-down
2×frac-times associate-*l/
1×+-commutative rem-sqrt-square sqrt-unprod associate-*r/ prod-exp sum-log *-commutative cbrt-unprod div-inv
Counts
3 → 75
Calls
3 calls:
4.0ms
(+ (* y y) (* z z))
14.0ms
(* (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt (/ 1 3.0)))
6.0ms
(sqrt (+ (* x x) (+ (* y y) (* z z))))

series52.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* y y) (* z z))
26.0ms
(* (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt (/ 1 3.0)))
20.0ms
(sqrt (+ (* x x) (+ (* y y) (* z z))))

simplify92.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049461444
149461444

prune107.0ms

Filtered
57 candidates to 84 candidates (-47.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh044
Picked011
Done011
Total84690

Merged error: 17.2b

Counts
90 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y y) (* z z))
0.4b
(/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
32.8b
(sqrt (+ (* x x) (+ (* y y) (* z z))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
45×sqrt-prod
36×times-frac
33×add-sqr-sqrt
32×add-cube-cbrt *-un-lft-identity
6×associate-/r* associate-/l*
5×add-exp-log add-cbrt-cube add-log-exp
4×pow1 sqrt-div
3×flip3-+ flip-+
2×associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square sqrt-undiv frac-2neg sqrt-pow1 pow1/2 div-exp clear-num sum-log div-inv
Counts
3 → 89
Calls
3 calls:
4.0ms
(+ (* y y) (* z z))
9.0ms
(/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
6.0ms
(sqrt (+ (* x x) (+ (* y y) (* z z))))

series55.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* y y) (* z z))
31.0ms
(/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
18.0ms
(sqrt (+ (* x x) (+ (* y y) (* z z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
052401945

prune113.0ms

Filtered
60 candidates to 98 candidates (-63.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New95398
Fresh033
Picked011
Done022
Total959104

Merged error: 17.2b

Counts
104 → 9

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(* z (sqrt 0.3333333333333333))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
4.0ms
(* z (sqrt 0.3333333333333333))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(* z (sqrt 0.3333333333333333))

simplify42.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04990133
14990133

prune40.0ms

Filtered
14 candidates to 25 candidates (-78.6%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New22325
Fresh055
Picked011
Done033
Total221234

Merged error: 17.2b

Counts
34 → 12

regimes1.0s

Accuracy

62.4% (7.4b remaining)

Error of 25.6b against oracle of 18.2b and baseline of 37.9b

bsearch25.0ms

Steps
ItersRangePoint
9
1.7279637673121227e+103
5.927875370263833e+108
2.5794020723223665e+108
5
-3.4557017997763558e+134
-1.2643486492392616e+134
-2.555293556764265e+134

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04731
14731

end0.0ms

sample560.0ms

Algorithm
intervals
Results
387.0ms8000×body80valid

Profiling

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