Details

Time bar (total: 2.5s)

analyze137.0ms

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
12.5%87.4%0.1%5
31.2%68.7%0.1%6
46.8%53.1%0.1%7
60.9%39%0.1%8
67.9%31.2%0.9%9
74.5%22.2%3.2%10
77.9%17.2%5%11
81.1%11.8%7.1%12
82.7%9%8.3%13
84.3%6.1%9.7%14

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms8×body80invalid

simplify122.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (120.0ms)

IterNodesCost
0510811

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (+ (/ x y) 1.0) (+ x 1.0))
0.1b
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
33×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt associate-*r*
18×distribute-lft-out
9×add-exp-log add-cbrt-cube
4×pow1 associate-/r* associate-/r/ associate-/l*
3×flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 81
Calls
2 calls:
10.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
16.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series12.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
7.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
053681112

prune112.0ms

Filtered
55 candidates to 87 candidates (-58.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New81687
Fresh101
Picked011
Done000
Total82789

Merged error: 0.0b

Counts
89 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series93.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt x) (cbrt x))
21.0ms
(cbrt x)
21.0ms
(cbrt x)
24.0ms
(cbrt x)

simplify38.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05084341

prune78.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done011
Total85792

Merged error: 0.0b

Counts
92 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ (/ x y) 1.0))
0.2b
(cbrt (+ (/ x y) 1.0))
0.2b
(cbrt (+ (/ x y) 1.0))
4.8b
(* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
34×associate-*r*
30×cbrt-div
28×cbrt-prod times-frac
25×add-exp-log
23×add-sqr-sqrt add-cube-cbrt
21×associate-*r/
18×add-cbrt-cube
16×frac-times flip3-+ flip-+
14×distribute-lft-out
13×pow1
12×associate-*l/ prod-exp cbrt-unprod
6×pow-prod-down
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×associate-/r/
1×associate-*l* *-commutative div-inv
Counts
4 → 117
Calls
4 calls:
6.0ms
(cbrt (+ (/ x y) 1.0))
6.0ms
(cbrt (+ (/ x y) 1.0))
6.0ms
(cbrt (+ (/ x y) 1.0))
36.0ms
(* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))

series110.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(cbrt (+ (/ x y) 1.0))
36.0ms
(cbrt (+ (/ x y) 1.0))
33.0ms
(cbrt (+ (/ x y) 1.0))
7.0ms
(* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))

simplify79.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
050482074

prune222.0ms

Filtered
83 candidates to 129 candidates (-55.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1272129
Fresh044
Picked101
Done112
Total1297136

Merged error: 0b

Counts
136 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ (/ x y) 1.0))
0.2b
(cbrt (+ (/ x y) 1.0))
0.3b
(cbrt (cbrt (+ (/ x y) 1.0)))
4.8b
(* (* x (* (cbrt (+ (/ x y) 1.0)) (* (cbrt (pow (cbrt (+ (/ x y) 1.0)) 2)) (cbrt (cbrt (+ (/ x y) 1.0)))))) (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
44×cbrt-div
36×add-exp-log
35×cbrt-prod
34×associate-*r*
33×associate-*r/
28×times-frac
24×add-sqr-sqrt add-cube-cbrt add-cbrt-cube
20×prod-exp cbrt-unprod
18×pow1
16×frac-times flip3-+ flip-+
14×distribute-lft-out
12×associate-*l/
10×pow-prod-down
4×cbrt-undiv div-exp add-log-exp
3×pow1/3
2×associate-/r/
1×associate-*l* *-commutative div-inv
Counts
4 → 125
Calls
4 calls:
6.0ms
(cbrt (+ (/ x y) 1.0))
6.0ms
(cbrt (+ (/ x y) 1.0))
6.0ms
(cbrt (cbrt (+ (/ x y) 1.0)))
45.0ms
(* (* x (* (cbrt (+ (/ x y) 1.0)) (* (cbrt (pow (cbrt (+ (/ x y) 1.0)) 2)) (cbrt (cbrt (+ (/ x y) 1.0)))))) (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))

series114.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (+ (/ x y) 1.0))
33.0ms
(cbrt (+ (/ x y) 1.0))
38.0ms
(cbrt (cbrt (+ (/ x y) 1.0)))
8.0ms
(* (* x (* (cbrt (+ (/ x y) 1.0)) (* (cbrt (pow (cbrt (+ (/ x y) 1.0)) 2)) (cbrt (cbrt (+ (/ x y) 1.0)))))) (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))

simplify74.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049823323
149823323

prune363.0ms

Filtered
99 candidates to 137 candidates (-38.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh055
Picked011
Done011
Total1377144

Merged error: 0b

Counts
144 → 7

regimes100.0ms

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
01111
11111

end0.0ms

analyze121.0ms

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
12.5%87.4%0.1%5
31.2%68.7%0.1%6
46.8%53.1%0.1%7
60.9%39%0.1%8
67.9%31.2%0.9%9
74.5%22.2%3.2%10
77.9%17.2%5%11
81.1%11.8%7.1%12
82.7%9%8.3%13
84.3%6.1%9.7%14

sample394.0ms

Algorithm
intervals
Results
261.0ms8000×body80valid
8.0ms263×body80invalid

Profiling

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