Details

Time bar (total: 3.4s)

analyze541.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
3.1%96.7%0.2%8
19.9%79.9%0.2%9
22.8%77%0.2%10
35.1%64.7%0.2%11
45%54.8%0.2%12
53.8%45.1%1.2%13
56.2%42.4%1.5%14

sample22.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
0.0ms13×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0569
1569

prune10.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.7b
(* (/ (- x y) (- z y)) t)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
8.0ms
(/ (- x y) (- z y))
12.0ms
(* (/ (- x y) (- z y)) t)

series33.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ (- x y) (- z y))
21.0ms
(* (/ (- x y) (- z y)) t)

simplify54.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
051661185

prune110.0ms

Filtered
73 candidates to 108 candidates (-47.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1035108
Fresh011
Picked011
Done000
Total1037110

Merged error: 0b

Counts
110 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))

series106.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- z y))
26.0ms
(cbrt (- x y))
28.0ms
(cbrt (- x y))
26.0ms
(cbrt (- x y))

simplify52.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05110588

prune91.0ms

Filtered
60 candidates to 72 candidates (-20.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh055
Picked011
Done011
Total72779

Merged error: 0b

Counts
79 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
5.1b
(cbrt (/ (- x y) (- z y)))
5.1b
(cbrt (/ (- x y) (- z y)))
5.1b
(cbrt (/ (- x y) (- z y)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
333×*-un-lft-identity
277×cbrt-prod
273×add-sqr-sqrt
229×times-frac
106×distribute-lft-out--
93×add-cube-cbrt
78×difference-of-squares
58×swap-sqr
34×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
36.0ms
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
7.0ms
(cbrt (/ (- x y) (- z y)))
7.0ms
(cbrt (/ (- x y) (- z y)))
7.0ms
(cbrt (/ (- x y) (- z y)))

series273.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
59.0ms
(cbrt (/ (- x y) (- z y)))
58.0ms
(cbrt (/ (- x y) (- z y)))
63.0ms
(cbrt (/ (- x y) (- z y)))

simplify121.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
050425458

prune228.0ms

Filtered
176 candidates to 288 candidates (-63.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2880288
Fresh044
Picked011
Done022
Total2887295

Merged error: 0b

Counts
295 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
9.5b
(* (- x y) (/ t (- z y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
8.0ms
(/ t (- z y))
12.0ms
(* (- x y) (/ t (- z y)))

series23.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ t (- z y))
16.0ms
(* (- x y) (/ t (- z y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05011857

prune66.0ms

Filtered
63 candidates to 89 candidates (-41.3%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New87289
Fresh213
Picked011
Done033
Total89796

Merged error: 0b

Counts
96 → 7

regimes447.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01631
11631

end0.0ms

analyze516.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
3.1%96.7%0.2%8
19.9%79.9%0.2%9
22.8%77%0.2%10
35.1%64.7%0.2%11
45%54.8%0.2%12
53.8%45.1%1.2%13
56.2%42.4%1.5%14

sample455.0ms

Algorithm
intervals
Results
243.0ms8000×body80valid
18.0ms620×body80invalid

Profiling

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