Details

Time bar (total: 1.9s)

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

sample13.0ms

Algorithm
intervals
Results
5.0ms234×body80valid
0.0ms5×body1280valid
0.0ms6×body640valid
0.0ms3×body2560valid
0.0ms6×body320valid
0.0ms2×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
02977
12977

prune9.0ms

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

localize4.0ms

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:
4.0ms
(- x (* (/ 3.0 8.0) y))

simplify33.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04999145
14999145

prune26.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
11.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series148.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
37.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
35.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
36.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051971428

prune212.0ms

Filtered
71 candidates to 99 candidates (-39.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New94599
Fresh022
Picked011
Done011
Total949103

Merged error: 0.0b

Counts
103 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series146.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
35.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
39.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
36.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05028796

prune252.0ms

Filtered
52 candidates to 64 candidates (-23.1%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh066
Picked011
Done022
Total64973

Merged error: 0.0b

Counts
73 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))
0.2b
(* (/ 3.0 8.0) (* y y))
3.8b
(- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y))))
30.2b
(/ (- (* x x) (* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))) (+ x (* (/ 3.0 8.0) y)))

rewrite38.0ms

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:
14.0ms
(* (/ 3.0 8.0) (* (/ 3.0 8.0) (* y y)))
7.0ms
(* (/ 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 8.0) y)))

series24.0ms

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

simplify46.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050161880

prune170.0ms

Filtered
89 candidates to 138 candidates (-55.1%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1362138
Fresh325
Picked011
Done033
Total1398147

Merged error: 0.0b

Counts
147 → 8

regimes218.0ms

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 (1.0ms)

IterNodesCost
0417
1417

end0.0ms

sample327.0ms

Algorithm
intervals
Results
156.0ms7414×body80valid
19.0ms216×body1280valid
14.0ms151×body640valid
9.0ms84×body2560valid
5.0ms90×body320valid
2.0ms45×body160valid

Profiling

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