Details

Time bar (total: 3.2s)

analyze141.0ms

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

sample26.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (91.0ms)

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: 0.1b

Counts
2 → 2

localize6.0ms

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)))

rewrite29.0ms

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))
14.0ms
(* 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 (52.0ms)

IterNodesCost
049531112
149531112

prune114.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New80787
Fresh101
Picked101
Done000
Total82789

Merged error: 0.0b

Counts
89 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.3b
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
0.3b
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
0.3b
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
279×*-un-lft-identity
206×cbrt-prod
158×times-frac
103×add-sqr-sqrt
88×distribute-lft-out
79×add-cube-cbrt
45×swap-sqr
25×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 → 218
Calls
4 calls:
31.0ms
(* (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))))
11.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
9.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
9.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))

series89.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))))
20.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
20.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
24.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
230 → 230
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
048504741
148504741

prune445.0ms

Filtered
134 candidates to 230 candidates (-71.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2291230
Fresh066
Picked011
Done000
Total2298237

Merged error: 0.0b

Counts
237 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
0.4b
(cbrt (pow (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) 2))
0.4b
(cbrt (pow (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) 2))
0.4b
(cbrt (pow (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) 2))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
178×cbrt-prod
110×*-un-lft-identity
75×unpow-prod-down
64×times-frac
46×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
8×associate-/r/
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ div-inv add-log-exp
3×unpow2 sqr-pow
1×cbrt-div
Counts
4 → 145
Calls
4 calls:
9.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
14.0ms
(cbrt (pow (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) 2))
13.0ms
(cbrt (pow (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) 2))
13.0ms
(cbrt (pow (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) 2))

series101.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
25.0ms
(cbrt (pow (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) 2))
25.0ms
(cbrt (pow (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) 2))
29.0ms
(cbrt (pow (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) 2))

simplify81.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
060123170

prune561.0ms

Filtered
101 candidates to 157 candidates (-55.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1570157
Fresh066
Picked011
Done011
Total1578165

Merged error: 0.0b

Counts
165 → 8

localize10.0ms

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)

rewrite10.0ms

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)

series89.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt x) (cbrt x))
21.0ms
(cbrt x)
23.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify45.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05165356

prune74.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done022
Total85893

Merged error: 0.0b

Counts
93 → 8

regimes107.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01534
11534

end0.0ms

sample890.0ms

Algorithm
intervals
Results
232.0ms8000×body80valid

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