Details

Time bar (total: 2.1s)

analyze116.0ms

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
0.0ms4×body80invalid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
0510811

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

localize7.0ms

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)))

rewrite34.0ms

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:
6.0ms
(+ (/ x y) 1.0)
10.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
14.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series15.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ x y) 1.0)
5.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
7.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify65.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
054061226

prune122.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New984102
Fresh011
Picked011
Done000
Total986104

Merged error: 0.0b

Counts
104 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))) (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))))
0.5b
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.5b
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.5b
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity associate-*r/
7×cbrt-prod cbrt-div
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 64
Calls
4 calls:
5.0ms
(* (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))) (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))))
10.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
10.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
10.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

series151.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))) (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))))
35.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
34.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
36.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

simplify32.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
050751181

prune165.0ms

Filtered
61 candidates to 76 candidates (-24.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New75176
Fresh044
Picked011
Done011
Total75782

Merged error: 0b

Counts
82 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.5b
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.5b
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.5b
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity pow1/3 associate-*r/ add-cbrt-cube add-log-exp
Counts
4 → 40
Calls
4 calls:
10.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
10.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
10.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
10.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

series138.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
34.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
34.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
36.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

simplify32.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
04964704
14964704

prune199.0ms

Filtered
48 candidates to 52 candidates (-8.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh044
Picked011
Done022
Total52759

Merged error: 0b

Counts
59 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(* x (+ (/ x y) 1.0))
8.1b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite27.0ms

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)
8.0ms
(* x (+ (/ x y) 1.0))
11.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series14.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ x y) 1.0)
4.0ms
(* x (+ (/ x y) 1.0))
7.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04959705
14959705

prune65.0ms

Filtered
46 candidates to 71 candidates (-54.3%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New71071
Fresh033
Picked011
Done033
Total71778

Merged error: 0b

Counts
78 → 7

regimes149.0ms

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

analyze116.0ms

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

sample376.0ms

Algorithm
intervals
Results
247.0ms8000×body80valid
7.0ms245×body80invalid

Profiling

Loading profile data...