Details

Time bar (total: 1.9s)

analyze40.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%50%50%2
0%50%50%3
25%25%50%4
25%25%50%5
31.2%18.7%50%6
34.3%15.6%50%7
39%10.9%50%8
40.6%8.6%50.8%9
42.9%5.9%51.2%10
43.7%4.5%51.8%11
44.9%3%52.1%12
45.3%2.3%52.4%13
45.9%1.5%52.6%14

sample23.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
0.0ms4×body80invalid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
079914
179914

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1.0 (* x 9.0)) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
6×pow1 times-frac associate-*r* associate-/l* add-log-exp
4×cbrt-undiv div-exp sqrt-prod
3×associate-*l* prod-exp cbrt-unprod
2×frac-2neg clear-num associate-/r* div-inv unswap-sqr
1×+-commutative flip3-+ pow-prod-down frac-add sum-log *-commutative flip-+ distribute-lft-out
Counts
4 → 77
Calls
4 calls:
9.0ms
(+ (/ 1.0 (* x 9.0)) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series25.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (/ 1.0 (* x 9.0)) (/ y (* 3.0 (sqrt x))))
9.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05017809

prune146.0ms

Filtered
67 candidates to 89 candidates (-32.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New82789
Fresh000
Picked101
Done000
Total83790

Merged error: 0.0b

Counts
90 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 1.0 (* x 9.0)) (/ (/ y 3.0) (sqrt x)))
0.3b
(/ (/ y 3.0) (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
84×*-un-lft-identity
82×add-sqr-sqrt add-cube-cbrt
42×sqrt-prod
16×associate-/l*
13×add-exp-log add-cbrt-cube
9×div-inv
7×associate-/r*
5×cbrt-undiv div-exp add-log-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ frac-add prod-exp sum-log cbrt-unprod flip-+ associate-/l/ distribute-lft-out
Counts
3 → 146
Calls
3 calls:
31.0ms
(+ (/ 1.0 (* x 9.0)) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ (/ y 3.0) (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series20.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (/ 1.0 (* x 9.0)) (/ (/ y 3.0) (sqrt x)))
8.0ms
(/ (/ y 3.0) (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049641972
149641972

prune184.0ms

Filtered
108 candidates to 155 candidates (-43.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1541155
Fresh156
Picked101
Done000
Total1566162

Merged error: 0.0b

Counts
162 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1.0 (* x 9.0)) (/ 1 (* (/ 3.0 y) (sqrt x))))
0.3b
(* (/ 3.0 y) (sqrt x))
0.4b
(/ 1.0 (* x 9.0))
0.8b
(/ 1 (* (/ 3.0 y) (sqrt x)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
27×add-sqr-sqrt
23×add-cbrt-cube
20×*-un-lft-identity
17×add-cube-cbrt times-frac
13×associate-*l*
12×div-exp
9×pow1 prod-exp
7×cbrt-undiv
6×associate-*r* associate-/l* add-log-exp
5×sqrt-prod cbrt-unprod
4×div-inv unswap-sqr
3×rec-exp 1-exp
2×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* distribute-lft-out
1×+-commutative flip3-+ frac-add sum-log associate-/r/ *-commutative flip-+ inv-pow
Counts
4 → 105
Calls
4 calls:
9.0ms
(+ (/ 1.0 (* x 9.0)) (/ 1 (* (/ 3.0 y) (sqrt x))))
7.0ms
(* (/ 3.0 y) (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))
7.0ms
(/ 1 (* (/ 3.0 y) (sqrt x)))

series29.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (/ 1.0 (* x 9.0)) (/ 1 (* (/ 3.0 y) (sqrt x))))
9.0ms
(* (/ 3.0 y) (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))
8.0ms
(/ 1 (* (/ 3.0 y) (sqrt x)))

simplify53.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049731083
149731083

prune141.0ms

Filtered
82 candidates to 117 candidates (-42.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1170117
Fresh055
Picked011
Done000
Total1176123

Merged error: 0.0b

Counts
123 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (+ (/ 0.1111111111111111 x) (/ (/ y 3.0) (sqrt x))))
0.0b
(+ (/ 0.1111111111111111 x) (/ (/ y 3.0) (sqrt x)))
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
143×times-frac
91×*-un-lft-identity
82×add-sqr-sqrt
80×add-cube-cbrt
42×sqrt-prod
13×associate-/l*
10×add-log-exp
8×add-exp-log add-cbrt-cube div-inv
6×associate-/r*
3×pow1 cbrt-undiv div-exp distribute-lft-out
2×diff-log sum-log distribute-lft-out--
1×+-commutative sub-neg flip3-- frac-2neg flip3-+ frac-add clear-num flip-- flip-+ associate-/l/ associate--r+ difference-of-squares
Counts
3 → 142
Calls
3 calls:
49.0ms
(- 1.0 (+ (/ 0.1111111111111111 x) (/ (/ y 3.0) (sqrt x))))
47.0ms
(+ (/ 0.1111111111111111 x) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ (/ y 3.0) (sqrt x))

series27.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- 1.0 (+ (/ 0.1111111111111111 x) (/ (/ y 3.0) (sqrt x))))
10.0ms
(+ (/ 0.1111111111111111 x) (/ (/ y 3.0) (sqrt x)))
8.0ms
(/ (/ y 3.0) (sqrt x))

simplify75.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049652121
149652121

prune166.0ms

Filtered
107 candidates to 151 candidates (-41.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1501151
Fresh044
Picked011
Done011
Total1507157

Merged error: 0.0b

Counts
157 → 7

regimes102.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07316
17316

end0.0ms

sample490.0ms

Algorithm
intervals
Results
348.0ms8000×body80valid
4.0ms101×body80invalid

Profiling

Loading profile data...