Details

Time bar (total: 3.1s)

analyze534.0ms

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
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
34.3%65.5%0.1%9
39%60.8%0.1%10
41.3%58.5%0.1%11
52.7%47.2%0.1%12
54%45.7%0.2%13
55.3%43.8%0.9%14

sample65.0ms

Algorithm
intervals
Results
6.0ms184×body80valid
4.0ms28×body1280valid
4.0ms5×body2560valid
2.0ms19×body640valid
1.0ms16×body320valid
0.0ms4×body160valid

simplify123.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (121.0ms)

IterNodesCost
055835

prune9.0ms

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: 0.1b

Counts
2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* y (- x z))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×*-un-lft-identity associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 24
Calls
1 calls:
6.0ms
(* y (- x z))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* y (- x z))

simplify63.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04952172
14952172

prune28.0ms

Filtered
17 candidates to 27 candidates (-58.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New26127
Fresh101
Picked011
Done000
Total27229

Merged error: 0.1b

Counts
29 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* y x) (* y (neg z)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ unsub-neg sum-log distribute-rgt-neg-out add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 13
Calls
1 calls:
4.0ms
(+ (* y x) (* y (neg z)))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(+ (* y x) (* y (neg z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05170116

prune20.0ms

Filtered
11 candidates to 16 candidates (-45.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New15116
Fresh000
Picked011
Done011
Total15318

Merged error: 0.1b

Counts
18 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

2.0b
(- (pow (* y x) 3) (pow (* y z) 3))
4.2b
(* y (+ (* y (* x x)) (* z (* y (+ x z)))))
5.5b
(* y (* x x))
38.5b
(/ (- (pow (* y x) 3) (pow (* y z) 3)) (* y (+ (* y (* x x)) (* z (* y (+ x z))))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
15×*-un-lft-identity distribute-lft-out--
13×times-frac associate-/l*
12×unpow-prod-down cube-prod difference-of-squares sqr-pow
11×pow1
9×add-cube-cbrt
6×associate-*l* add-log-exp
5×prod-exp cbrt-unprod
4×associate-*r/ associate-*r* pow-prod-down
3×difference-cubes
2×cbrt-undiv flip3-- flip3-+ div-exp associate-/r/ *-commutative flip-- flip-+ associate-/l/ unswap-sqr
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log div-sub clear-num associate-/r* div-inv
Counts
4 → 108
Calls
4 calls:
7.0ms
(- (pow (* y x) 3) (pow (* y z) 3))
8.0ms
(* y (+ (* y (* x x)) (* z (* y (+ x z)))))
6.0ms
(* y (* x x))
16.0ms
(/ (- (pow (* y x) 3) (pow (* y z) 3)) (* y (+ (* y (* x x)) (* z (* y (+ x z))))))

series101.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (pow (* y x) 3) (pow (* y z) 3))
17.0ms
(* y (+ (* y (* x x)) (* z (* y (+ x z)))))
6.0ms
(* y (* x x))
54.0ms
(/ (- (pow (* y x) 3) (pow (* y z) 3)) (* y (+ (* y (* x x)) (* z (* y (+ x z))))))

simplify42.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
060332251

prune169.0ms

Filtered
82 candidates to 120 candidates (-46.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1191120
Fresh000
Picked101
Done022
Total1203123

Merged error: 0.1b

Counts
123 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

4.2b
(* y (+ (* y (* x x)) (* z (* y (+ x z)))))
5.5b
(* y (* x x))
15.6b
(cbrt (pow (- (pow (* y x) 3) (pow (* y z) 3)) 3))
38.5b
(/ (cbrt (pow (- (pow (* y x) 3) (pow (* y z) 3)) 3)) (* y (+ (* y (* x x)) (* z (* y (+ x z))))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod
63×unpow-prod-down cube-prod
45×add-sqr-sqrt
35×times-frac associate-/l*
30×*-un-lft-identity distribute-lft-out--
27×sqr-pow
24×difference-of-squares
18×add-cube-cbrt
16×add-exp-log
14×add-cbrt-cube
11×pow1
6×difference-cubes associate-*l*
5×prod-exp cbrt-unprod
4×cube-div cbrt-div associate-*r/ associate-*r* pow-prod-down add-log-exp
3×cube-mult unpow3
2×cbrt-undiv flip3-- flip3-+ div-exp associate-/r/ *-commutative flip-- flip-+ associate-/l/ unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow1/3 clear-num associate-/r* rem-cbrt-cube div-inv
Counts
4 → 173
Calls
4 calls:
8.0ms
(* y (+ (* y (* x x)) (* z (* y (+ x z)))))
5.0ms
(* y (* x x))
10.0ms
(cbrt (pow (- (pow (* y x) 3) (pow (* y z) 3)) 3))
22.0ms
(/ (cbrt (pow (- (pow (* y x) 3) (pow (* y z) 3)) 3)) (* y (+ (* y (* x x)) (* z (* y (+ x z))))))

series99.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* y (+ (* y (* x x)) (* z (* y (+ x z)))))
6.0ms
(* y (* x x))
23.0ms
(cbrt (pow (- (pow (* y x) 3) (pow (* y z) 3)) 3))
51.0ms
(/ (cbrt (pow (- (pow (* y x) 3) (pow (* y z) 3)) 3)) (* y (+ (* y (* x x)) (* z (* y (+ x z))))))

simplify56.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050174011

prune232.0ms

Filtered
98 candidates to 185 candidates (-88.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1841185
Fresh000
Picked101
Done022
Total1853188

Merged error: 0.1b

Counts
188 → 3

regimes139.0ms

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
0347
1347

end0.0ms

sample1.2s

Algorithm
intervals
Results
183.0ms5647×body80valid
135.0ms847×body1280valid
80.0ms658×body640valid
44.0ms239×body2560valid
37.0ms399×body320valid
13.0ms210×body160valid

Profiling

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