Details

Time bar (total: 1.8s)

analyze37.0ms

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

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify146.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (144.0ms)

IterNodesCost
050799

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: 0.0b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
6.7b
(* x (* 2.0 (/ y (- x y))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity
15×times-frac
13×add-exp-log add-cube-cbrt add-cbrt-cube
pow1
prod-exp associate-/r* cbrt-unprod
distribute-lft-out-- difference-of-squares
associate-*l* pow-prod-down associate-/l*
cbrt-undiv associate-*r/ div-exp associate-/r/ add-log-exp
flip3-- frac-2neg associate-*r* clear-num *-commutative flip-- div-inv
Counts
2 → 58
Calls
2 calls:
5.0ms
(/ y (- x y))
8.0ms
(* x (* 2.0 (/ y (- x y))))

series17.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ y (- x y))
8.0ms
(* x (* 2.0 (/ y (- x y))))

simplify48.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05863545

prune69.0ms

Filtered
42 candidates to 64 candidates (-52.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New61364
Fresh011
Picked011
Done000
Total61566

Merged error: 0.0b

Counts
66 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- x y))
0.2b
(* y (/ 1 (- x y)))
6.7b
(* x (* 2.0 (* y (/ 1 (- x y)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
39×*-un-lft-identity
38×add-exp-log
32×times-frac
24×add-cube-cbrt add-cbrt-cube
22×associate-*r*
19×prod-exp
15×pow1
11×cbrt-unprod
pow-prod-down distribute-lft-out-- difference-of-squares
associate-*r/ div-exp associate-*l*
associate-/r*
associate-/r/
cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
flip3-- un-div-inv *-commutative flip-- div-inv
pow-flip frac-2neg clear-num inv-pow
Counts
3 → 112
Calls
3 calls:
5.0ms
(/ 1 (- x y))
10.0ms
(* y (/ 1 (- x y)))
11.0ms
(* x (* 2.0 (* y (/ 1 (- x y)))))

series27.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- x y))
12.0ms
(* y (/ 1 (- x y)))
11.0ms
(* x (* 2.0 (* y (/ 1 (- x y)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05562902

prune108.0ms

Filtered
66 candidates to 121 candidates (-83.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh033
Picked011
Done011
Total1215126

Merged error: 0.0b

Counts
126 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (* 2.0 (/ y (- x y)))))
6.7b
(* x (* 2.0 (/ y (- x y))))
6.7b
(* x (* 2.0 (/ y (- x y))))
6.7b
(* x (* 2.0 (/ y (- x y))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
19×pow1
15×prod-exp cbrt-unprod
associate-*l* pow-prod-down
associate-*r/
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
cbrt-undiv div-exp associate-*r* *-commutative
cbrt-prod cbrt-div pow1/3
Counts
4 → 73
Calls
4 calls:
12.0ms
(cbrt (* x (* 2.0 (/ y (- x y)))))
15.0ms
(* x (* 2.0 (/ y (- x y))))
15.0ms
(* x (* 2.0 (/ y (- x y))))
15.0ms
(* x (* 2.0 (/ y (- x y))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (* x (* 2.0 (/ y (- x y)))))
8.0ms
(* x (* 2.0 (/ y (- x y))))
8.0ms
(* x (* 2.0 (/ y (- x y))))
13.0ms
(* x (* 2.0 (/ y (- x y))))

simplify41.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05102793

prune135.0ms

Filtered
51 candidates to 85 candidates (-66.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New83285
Fresh022
Picked011
Done022
Total83790

Merged error: 0.0b

Counts
90 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (* 2.0 (/ y (- x y)))))
6.7b
(* x (* 2.0 (/ y (- x y))))
6.7b
(* x (* 2.0 (/ y (- x y))))
7.5b
(cbrt (* 2.0 (/ y (- x y))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
14×pow1
10×prod-exp cbrt-unprod
associate-*r/
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down
add-log-exp
cbrt-undiv cbrt-prod cbrt-div pow1/3 div-exp associate-*r* *-commutative
Counts
4 → 62
Calls
4 calls:
7.0ms
(cbrt (* x (* 2.0 (/ y (- x y)))))
8.0ms
(* x (* 2.0 (/ y (- x y))))
9.0ms
(* x (* 2.0 (/ y (- x y))))
6.0ms
(cbrt (* 2.0 (/ y (- x y))))

series142.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(cbrt (* x (* 2.0 (/ y (- x y)))))
14.0ms
(* x (* 2.0 (/ y (- x y))))
13.0ms
(* x (* 2.0 (/ y (- x y))))
62.0ms
(cbrt (* 2.0 (/ y (- x y))))

simplify68.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04909691
14909691

prune133.0ms

Filtered
55 candidates to 74 candidates (-34.5%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New72274
Fresh123
Picked011
Done033
Total73881

Merged error: 0.0b

Counts
81 → 8

regimes203.0ms

Accuracy

86.9% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 7.3b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
012868
112868

end0.0ms

sample355.0ms

Algorithm
intervals
Results
228.0ms8000×body80valid

Profiling

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