Details

Time bar (total: 3.0s)

analyze234.0ms

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
0%99.9%0.1%5
25%74.9%0.1%6
25%74.9%0.1%7
43.7%56.2%0.1%8
62.4%37.4%0.1%9
65.5%34.3%0.1%10
71.8%27.7%0.5%11
79.2%19.7%1.1%12
80.2%18.7%1.1%13
82.8%15%2.2%14

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
0.0ms12×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08211
18211

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.0b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

3.8b
(* y (+ 1.0 (* z z)))
5.0b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 70
Calls
2 calls:
5.0ms
(* y (+ 1.0 (* z z)))
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series31.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(* y (+ 1.0 (* z z)))
17.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify41.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05050885

prune110.0ms

Filtered
55 candidates to 76 candidates (-38.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New71576
Fresh011
Picked011
Done000
Total71778

Merged error: 6.1b

Counts
78 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1.0 (* x y))
6.7b
(/ (/ 1.0 (* x y)) (+ 1.0 (* z z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/l*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/r*
2×pow1 frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod add-log-exp
1×flip3-+ flip-+ associate-/l/
Counts
2 → 71
Calls
2 calls:
4.0ms
(/ 1.0 (* x y))
8.0ms
(/ (/ 1.0 (* x y)) (+ 1.0 (* z z)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ 1.0 (* x y))
17.0ms
(/ (/ 1.0 (* x y)) (+ 1.0 (* z z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049651021
149651021

prune111.0ms

Filtered
58 candidates to 77 candidates (-32.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New76177
Fresh145
Picked011
Done011
Total77784

Merged error: 6.1b

Counts
84 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 x) y)
6.7b
(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
1×flip3-+ flip-+
Counts
2 → 264
Calls
2 calls:
6.0ms
(/ (/ 1.0 x) y)
17.0ms
(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (/ 1.0 x) y)
17.0ms
(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

simplify107.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
049725243
149725243

prune451.0ms

Filtered
233 candidates to 270 candidates (-15.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2691270
Fresh134
Picked011
Done112
Total2716277

Merged error: 6.1b

Counts
277 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (cbrt 1.0) (* (+ 1.0 (* z z)) (cbrt x)))
0.9b
(/ (cbrt 1.0) (* y (cbrt x)))
1.0b
(* (+ 1.0 (* z z)) (cbrt x))
5.6b
(* (* (/ (cbrt 1.0) (cbrt x)) (/ (cbrt 1.0) (* y (cbrt x)))) (/ (cbrt 1.0) (* (+ 1.0 (* z z)) (cbrt x))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
124×add-exp-log
60×add-cbrt-cube
55×prod-exp cbrt-unprod
39×cbrt-undiv div-exp
22×add-sqr-sqrt
19×cbrt-prod
18×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
12×associate-/l*
11×pow1 associate-*l/
5×frac-times
4×associate-*l* pow-prod-down associate-/r/ add-log-exp
3×flip3-+ associate-*r/ flip-+ div-inv
2×frac-2neg clear-num associate-/r* *-commutative unswap-sqr
Counts
4 → 152
Calls
4 calls:
7.0ms
(/ (cbrt 1.0) (* (+ 1.0 (* z z)) (cbrt x)))
5.0ms
(/ (cbrt 1.0) (* y (cbrt x)))
6.0ms
(* (+ 1.0 (* z z)) (cbrt x))
19.0ms
(* (* (/ (cbrt 1.0) (cbrt x)) (/ (cbrt 1.0) (* y (cbrt x)))) (/ (cbrt 1.0) (* (+ 1.0 (* z z)) (cbrt x))))

series95.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (cbrt 1.0) (* (+ 1.0 (* z z)) (cbrt x)))
17.0ms
(/ (cbrt 1.0) (* y (cbrt x)))
20.0ms
(* (+ 1.0 (* z z)) (cbrt x))
31.0ms
(* (* (/ (cbrt 1.0) (cbrt x)) (/ (cbrt 1.0) (* y (cbrt x)))) (/ (cbrt 1.0) (* (+ 1.0 (* z z)) (cbrt x))))

simplify79.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
051102331

prune225.0ms

Filtered
100 candidates to 164 candidates (-64.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1622164
Fresh033
Picked011
Done022
Total1628170

Merged error: 5.7b

Counts
170 → 8

regimes497.0ms

Accuracy

0% (2.0b remaining)

Error of 6.6b against oracle of 4.6b and baseline of 6.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11011

end0.0ms

analyze223.0ms

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
0%99.9%0.1%5
25%74.9%0.1%6
25%74.9%0.1%7
43.7%56.2%0.1%8
62.4%37.4%0.1%9
65.5%34.3%0.1%10
71.8%27.7%0.5%11
79.2%19.7%1.1%12
80.2%18.7%1.1%13
82.8%15%2.2%14

sample485.0ms

Algorithm
intervals
Results
291.0ms8000×body80valid
16.0ms473×body80invalid

Profiling

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