Details

Time bar (total: 2.3s)

analyze122.0ms

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

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
0.0ms9×body80invalid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
0764411

prune9.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(/ (+ (/ x y) 1.0) (+ x 1.0))
0.1b
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
33×times-frac
28×add-sqr-sqrt
23×add-cube-cbrt
22×associate-*r*
19×distribute-lft-out
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×flip3-+ associate-/r* associate-/r/ flip-+ associate-/l*
3×associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
3 → 93
Calls
3 calls:
7.0ms
(+ (/ x y) 1.0)
11.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
16.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series17.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ x y) 1.0)
5.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
9.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify71.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
052271226

prune140.0ms

Filtered
65 candidates to 102 candidates (-56.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New975102
Fresh011
Picked011
Done000
Total977104

Merged error: 0b

Counts
104 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
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 → 95
Calls
4 calls:
10.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))

series24.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
6.0ms
(cbrt (+ x 1.0))
6.0ms
(cbrt (+ x 1.0))
6.0ms
(cbrt (+ x 1.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049911037
149911037

prune211.0ms

Filtered
71 candidates to 107 candidates (-50.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh055
Picked011
Done011
Total1077114

Merged error: 0b

Counts
114 → 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))
6.3b
(* (* 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))
8.0ms
(cbrt (+ (/ x y) 1.0))
33.0ms
(* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))

series105.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(cbrt (+ (/ x y) 1.0))
34.0ms
(cbrt (+ (/ x y) 1.0))
32.0ms
(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)))

simplify66.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050062344

prune294.0ms

Filtered
88 candidates to 129 candidates (-46.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1290129
Fresh044
Picked011
Done022
Total1297136

Merged error: 0b

Counts
136 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(* x (+ (/ x y) 1.0))
8.0b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×flip3-+ times-frac associate-*r/ associate-*r* associate-/r* flip-+ distribute-lft-out
3×associate-*l*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 62
Calls
3 calls:
6.0ms
(+ (/ x y) 1.0)
9.0ms
(* x (+ (/ x y) 1.0))
12.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series13.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ x y) 1.0)
4.0ms
(* x (+ (/ x y) 1.0))
6.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05140703

prune72.0ms

Filtered
45 candidates to 71 candidates (-57.8%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New71071
Fresh033
Picked011
Done033
Total71778

Merged error: 0b

Counts
78 → 7

regimes154.0ms

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
03311
13311

end0.0ms

sample612.0ms

Algorithm
intervals
Results
458.0ms8000×body80valid
13.0ms288×body80invalid

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