Details

Time bar (total: 2.3s)

analyze469.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
12.5%87.3%0.2%7
18.7%81.1%0.2%8
46.8%53%0.2%9
47.6%52.2%0.2%10
48.3%51.5%0.2%11
54.2%45.6%0.2%12
67.6%32.2%0.2%13
68.2%31.6%0.2%14

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
2.0ms39×body80invalid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
0126013
1126013

prune8.0ms

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: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b
(/ (* y z) 2.0)
0.0b
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×*-un-lft-identity
5×add-sqr-sqrt add-cube-cbrt
3×pow1 times-frac associate-/r*
2×cbrt-undiv sub-neg diff-log div-exp sum-log
1×+-commutative associate-+l- associate-+l+ flip3-- frac-2neg flip3-+ associate-*l/ prod-exp clear-num frac-sub flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
3 → 48
Calls
3 calls:
6.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
4.0ms
(/ (* y z) 2.0)
9.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

series25.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
6.0ms
(/ (* y z) 2.0)
11.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

simplify54.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04987666
14987666

prune83.0ms

Filtered
44 candidates to 57 candidates (-29.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh000
Picked011
Done000
Total56258

Merged error: 0b

Counts
58 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))) t)
0.3b
(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
0.4b
(/ z (sqrt 2.0))
0.5b
(/ y (sqrt 2.0))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
84×times-frac
62×*-un-lft-identity
60×add-cube-cbrt
48×sqrt-prod
22×associate-*r* associate-*l*
20×add-exp-log add-cbrt-cube
12×associate-/r*
9×add-log-exp unswap-sqr
6×pow1 cbrt-undiv div-exp associate-/l*
4×prod-exp cbrt-unprod div-inv
2×frac-2neg clear-num sum-log
1×+-commutative frac-times associate-+l- sub-neg associate-+l+ flip3-+ diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+ distribute-lft-out
Counts
4 → 166
Calls
4 calls:
8.0ms
(+ (- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))) t)
16.0ms
(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
4.0ms
(/ z (sqrt 2.0))
6.0ms
(/ y (sqrt 2.0))

series46.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))) t)
12.0ms
(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
5.0ms
(/ z (sqrt 2.0))
5.0ms
(/ y (sqrt 2.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
055351640

prune267.0ms

Filtered
113 candidates to 178 candidates (-57.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1780178
Fresh000
Picked011
Done011
Total1782180

Merged error: 0b

Counts
180 → 2

regimes466.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09413
19413

end0.0ms

sample634.0ms

Algorithm
intervals
Results
331.0ms7998×body80valid
55.0ms1212×body80invalid
0.0ms2×body1280valid

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