Details

Time bar (total: 1.8s)

analyze51.0ms

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
50%50%0.1%6
68.7%31.2%0.1%7
81.2%18.7%0.1%8
89%10.9%0.1%9
92.1%7.8%0.1%10
95.6%4.3%0.1%11
96.4%3.5%0.1%12
98%1.9%0.1%13
98.2%1.7%0.1%14

sample13.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01009
11009

prune8.0ms

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: 0.0b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- x y))
0.0b
(* 2.0 (/ y (- x y)))
7.7b
(* x (* 2.0 (/ y (- x y))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
24×add-cube-cbrt
22×associate-*r*
19×add-exp-log add-cbrt-cube
10×pow1
7×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
6×associate-*l*
5×associate-/r*
4×pow-prod-down associate-/r/
3×cbrt-undiv associate-*r/ div-exp associate-/l* add-log-exp
2×flip3-- *-commutative flip-- div-inv unswap-sqr
1×frac-2neg clear-num
Counts
3 → 98
Calls
3 calls:
7.0ms
(/ y (- x y))
9.0ms
(* 2.0 (/ y (- x y)))
9.0ms
(* x (* 2.0 (/ y (- x y))))

series20.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ y (- x y))
6.0ms
(* 2.0 (/ y (- x y)))
8.0ms
(* x (* 2.0 (/ y (- x y))))

simplify69.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05092892

prune91.0ms

Filtered
72 candidates to 107 candidates (-48.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1043107
Fresh011
Picked011
Done000
Total1045109

Merged error: 0.0b

Counts
109 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
3.0b
(* (/ y (- x y)) (cbrt x))
4.8b
(* (* (cbrt x) (cbrt x)) (* 2.0 (* (/ y (- x y)) (cbrt x))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
33×add-sqr-sqrt
27×pow1 add-cbrt-cube
24×prod-exp cbrt-unprod
23×*-un-lft-identity
22×associate-*l*
17×add-cube-cbrt times-frac
16×pow-prod-down
11×cbrt-prod
7×associate-*r*
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*r/ associate-*l/ associate-/r/ *-commutative
1×flip3-- flip-- div-inv
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(* (/ y (- x y)) (cbrt x))
15.0ms
(* (* (cbrt x) (cbrt x)) (* 2.0 (* (/ y (- x y)) (cbrt x))))

series77.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
24.0ms
(cbrt x)
22.0ms
(* (/ y (- x y)) (cbrt x))
11.0ms
(* (* (cbrt x) (cbrt x)) (* 2.0 (* (/ y (- x y)) (cbrt x))))

simplify38.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05410920

prune122.0ms

Filtered
70 candidates to 112 candidates (-60.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1111112
Fresh033
Picked101
Done011
Total1125117

Merged error: 0.0b

Counts
117 → 5

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.5b
(* (cbrt x) (/ y (cbrt (- x y))))
4.8b
(* (* (cbrt x) (cbrt x)) (* 2.0 (* (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (* (cbrt x) (/ y (cbrt (- x y)))))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
282×add-exp-log
203×prod-exp
91×cbrt-unprod
83×add-cbrt-cube
45×add-sqr-sqrt
39×div-exp
38×pow1
31×associate-*r*
29×cbrt-prod *-un-lft-identity
28×times-frac
25×pow-prod-down
23×add-cube-cbrt
19×cbrt-undiv
12×rec-exp 1-exp
10×associate-*r/
7×associate-*l*
6×unswap-sqr
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×cbrt-div pow1/3 associate-/r/ *-commutative
1×frac-times flip3-- associate-*l/ flip-- div-inv
Counts
4 → 167
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
13.0ms
(* (cbrt x) (/ y (cbrt (- x y))))
36.0ms
(* (* (cbrt x) (cbrt x)) (* 2.0 (* (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (* (cbrt x) (/ y (cbrt (- x y)))))))

series91.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
21.0ms
(cbrt x)
36.0ms
(* (cbrt x) (/ y (cbrt (- x y))))
11.0ms
(* (* (cbrt x) (cbrt x)) (* 2.0 (* (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (* (cbrt x) (/ y (cbrt (- x y)))))))

simplify82.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049922009
149922009

prune116.0ms

Filtered
80 candidates to 179 candidates (-123.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1772179
Fresh123
Picked101
Done011
Total1795184

Merged error: 0.0b

Counts
184 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.6b
(* (pow (cbrt x) 2) (* 2.0 (* y (/ (cbrt x) (pow (cbrt (- x y)) 2)))))
3.8b
(/ (* (pow (cbrt x) 2) (* 2.0 (* y (/ (cbrt x) (pow (cbrt (- x y)) 2))))) (cbrt (- x y)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
150×add-exp-log
90×prod-exp
37×div-exp
31×add-cbrt-cube
19×cbrt-prod
18×pow-to-exp pow-exp cbrt-unprod
17×add-sqr-sqrt *-un-lft-identity
13×add-cube-cbrt
11×associate-*l*
8×times-frac associate-/r*
7×cbrt-undiv
6×unpow-prod-down associate-*r/
4×pow1 add-log-exp
2×cbrt-div pow1/3 associate-/r/ distribute-lft-out-- difference-of-squares
1×flip3-- frac-2neg associate-*r* clear-num *-commutative flip-- div-inv associate-/l/ associate-/l* unpow2 sqr-pow
Counts
4 → 119
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
18.0ms
(* (pow (cbrt x) 2) (* 2.0 (* y (/ (cbrt x) (pow (cbrt (- x y)) 2)))))
25.0ms
(/ (* (pow (cbrt x) 2) (* 2.0 (* y (/ (cbrt x) (pow (cbrt (- x y)) 2))))) (cbrt (- x y)))

series100.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
47.0ms
(* (pow (cbrt x) 2) (* 2.0 (* y (/ (cbrt x) (pow (cbrt (- x y)) 2)))))
11.0ms
(/ (* (pow (cbrt x) 2) (* 2.0 (* y (/ (cbrt x) (pow (cbrt (- x y)) 2))))) (cbrt (- x y)))

simplify33.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
051821736

prune141.0ms

Filtered
79 candidates to 131 candidates (-65.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1301131
Fresh033
Picked101
Done011
Total1315136

Merged error: 0.0b

Counts
136 → 5

regimes174.0ms

Accuracy

92.9% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 7.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04568
14568

end0.0ms

analyze36.0ms

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
50%50%0.1%6
68.7%31.2%0.1%7
81.2%18.7%0.1%8
89%10.9%0.1%9
92.1%7.8%0.1%10
95.6%4.3%0.1%11
96.4%3.5%0.1%12
98%1.9%0.1%13
98.2%1.7%0.1%14

sample337.0ms

Algorithm
intervals
Results
219.0ms8000×body80valid

Profiling

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