Details

Time bar (total: 4.9s)

analyze23.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14

sample13.0ms

Algorithm
intervals
Results
5.0ms235×body80valid
1.0ms8×body1280valid
0.0ms6×body640valid
0.0ms3×body2560valid
0.0ms3×body160valid
0.0ms1×body320valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0187
1187

prune5.0ms

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: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 11
Calls
1 calls:
3.0ms
(- x (* (/ 3.0 8.0) y))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(- x (* (/ 3.0 8.0) y))

simplify42.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04990145
14990145

prune29.0ms

Filtered
11 candidates to 14 candidates (-27.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New11314
Fresh000
Picked011
Done000
Total11415

Merged error: 0.0b

Counts
15 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 3.0 8.0) (* y y))
0.1b
(* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))
4.0b
(- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y))))
27.1b
(/ (- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))) (+ x (* 3.0 (/ y 8.0))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log add-cbrt-cube
29×add-sqr-sqrt
28×times-frac prod-exp cbrt-unprod
26×add-cube-cbrt *-un-lft-identity associate-*l*
18×pow1
12×cbrt-undiv div-exp
9×pow-prod-down
6×add-log-exp
4×associate-*l/
3×associate-/r* div-inv associate-/l*
2×flip3-- associate-*r* associate-/r/ *-commutative flip-- associate-/l/ unswap-sqr
1×frac-times sub-neg frac-2neg flip3-+ diff-log div-sub associate-*r/ clear-num flip-+
Counts
4 → 126
Calls
4 calls:
8.0ms
(* (/ 3.0 8.0) (* y y))
12.0ms
(* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))
4.0ms
(- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y))))
8.0ms
(/ (- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))) (+ x (* 3.0 (/ y 8.0))))

series28.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (/ 3.0 8.0) (* y y))
3.0ms
(* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))
8.0ms
(- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y))))
13.0ms
(/ (- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))) (+ x (* 3.0 (/ y 8.0))))

simplify54.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050392050

prune192.0ms

Filtered
93 candidates to 138 candidates (-48.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1362138
Fresh202
Picked011
Done011
Total1384142

Merged error: 0.0b

Counts
142 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (* 3.0 (/ y 8.0))))
0.5b
(cbrt (+ x (* 3.0 (/ y 8.0))))
0.5b
(cbrt (+ x (* 3.0 (/ y 8.0))))
13.7b
(/ (* (/ (+ x (* 3.0 (/ y 8.0))) (cbrt (+ x (* 3.0 (/ y 8.0))))) (/ (- x (* 3.0 (/ y 8.0))) (cbrt (+ x (* 3.0 (/ y 8.0)))))) (cbrt (+ x (* 3.0 (/ y 8.0)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
15×cbrt-prod
13×add-cbrt-cube
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-undiv div-exp
8×cbrt-div
6×times-frac associate-/r*
4×pow1 flip3-+ prod-exp cbrt-unprod flip-+ add-log-exp
3×pow1/3 associate-/l/
2×associate-/r/
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num div-inv associate-/l*
Counts
4 → 77
Calls
4 calls:
2.0ms
(cbrt (+ x (* 3.0 (/ y 8.0))))
2.0ms
(cbrt (+ x (* 3.0 (/ y 8.0))))
2.0ms
(cbrt (+ x (* 3.0 (/ y 8.0))))
20.0ms
(/ (* (/ (+ x (* 3.0 (/ y 8.0))) (cbrt (+ x (* 3.0 (/ y 8.0))))) (/ (- x (* 3.0 (/ y 8.0))) (cbrt (+ x (* 3.0 (/ y 8.0)))))) (cbrt (+ x (* 3.0 (/ y 8.0)))))

series145.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(cbrt (+ x (* 3.0 (/ y 8.0))))
46.0ms
(cbrt (+ x (* 3.0 (/ y 8.0))))
44.0ms
(cbrt (+ x (* 3.0 (/ y 8.0))))
11.0ms
(/ (* (/ (+ x (* 3.0 (/ y 8.0))) (cbrt (+ x (* 3.0 (/ y 8.0))))) (/ (- x (* 3.0 (/ y 8.0))) (cbrt (+ x (* 3.0 (/ y 8.0)))))) (cbrt (+ x (* 3.0 (/ y 8.0)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
052551890

prune236.0ms

Filtered
74 candidates to 89 candidates (-20.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New86389
Fresh011
Picked011
Done022
Total86793

Merged error: 0.0b

Counts
93 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x (* 3.0 (/ y 8.0))) (- x (* 3.0 (/ y 8.0))))
0.0b
(/ (+ x (* 3.0 (/ y 8.0))) (/ (+ x (* 3.0 (/ y 8.0))) (- x (* 3.0 (/ y 8.0)))))
0.2b
(/ 1 (/ (+ x (* 3.0 (/ y 8.0))) (/ (+ x (* 3.0 (/ y 8.0))) (- x (* 3.0 (/ y 8.0))))))
0.2b
(/ 1 (/ 1 (/ (+ x (* 3.0 (/ y 8.0))) (/ (+ x (* 3.0 (/ y 8.0))) (- x (* 3.0 (/ y 8.0)))))))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
2457×times-frac
1059×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
223×associate-/r*
129×associate-/r/
108×add-exp-log
84×div-exp
76×div-inv
53×flip3-- flip--
34×add-cbrt-cube
22×rec-exp 1-exp
20×cbrt-undiv
12×associate-/l*
7×pow1
5×pow-flip
4×frac-2neg clear-num associate-/l/ add-log-exp
3×inv-pow
2×flip3-+ flip-+
1×remove-double-div
Counts
4 → 1012
Calls
4 calls:
7.0ms
(/ (+ x (* 3.0 (/ y 8.0))) (- x (* 3.0 (/ y 8.0))))
12.0ms
(/ (+ x (* 3.0 (/ y 8.0))) (/ (+ x (* 3.0 (/ y 8.0))) (- x (* 3.0 (/ y 8.0)))))
22.0ms
(/ 1 (/ (+ x (* 3.0 (/ y 8.0))) (/ (+ x (* 3.0 (/ y 8.0))) (- x (* 3.0 (/ y 8.0))))))
39.0ms
(/ 1 (/ 1 (/ (+ x (* 3.0 (/ y 8.0))) (/ (+ x (* 3.0 (/ y 8.0))) (- x (* 3.0 (/ y 8.0)))))))

series37.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ (+ x (* 3.0 (/ y 8.0))) (- x (* 3.0 (/ y 8.0))))
13.0ms
(/ (+ x (* 3.0 (/ y 8.0))) (/ (+ x (* 3.0 (/ y 8.0))) (- x (* 3.0 (/ y 8.0)))))
7.0ms
(/ 1 (/ (+ x (* 3.0 (/ y 8.0))) (/ (+ x (* 3.0 (/ y 8.0))) (- x (* 3.0 (/ y 8.0))))))
5.0ms
(/ 1 (/ 1 (/ (+ x (* 3.0 (/ y 8.0))) (/ (+ x (* 3.0 (/ y 8.0))) (- x (* 3.0 (/ y 8.0)))))))

simplify305.0ms

Algorithm
egg-herbie
Counts
1024 → 1024
Iterations

Useful iterations: 0 (120.0ms)

IterNodesCost
0498733872
1498733872

prune2.9s

Filtered
483 candidates to 1024 candidates (-112.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New102041024
Fresh123
Picked011
Done123
Total102291031

Merged error: 0.0b

Counts
1031 → 9

regimes232.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
187

end0.0ms

analyze18.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14

sample333.0ms

Algorithm
intervals
Results
156.0ms7319×body80valid
23.0ms247×body1280valid
14.0ms191×body640valid
11.0ms100×body2560valid
5.0ms93×body320valid
2.0ms50×body160valid

Profiling

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