Details

Time bar (total: 2.1s)

sample33.0ms

Algorithm
intervals
Results
8.0ms276×body80valid
7.0ms249×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0788
1788

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 x) (* y (sqrt x)))
0.3b
(* y (sqrt x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-log-exp
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube
3×associate-*l*
2×associate-+l+ sum-log unswap-sqr
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 37
Calls
2 calls:
7.0ms
(+ (- 1.0 x) (* y (sqrt x)))
6.0ms
(* y (sqrt x))

series14.0ms

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

simplify44.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04962366
14962366

prune70.0ms

Filtered
32 candidates to 43 candidates (-34.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New38543
Fresh000
Picked011
Done000
Total38644

Merged error: 0.0b

Counts
44 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
0.3b
(* y (sqrt (sqrt x)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
2.0ms
(sqrt (sqrt x))
10.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
7.0ms
(* y (sqrt (sqrt x)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(sqrt (sqrt x))
17.0ms
(sqrt (sqrt x))
7.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
12.0ms
(* y (sqrt (sqrt x)))

simplify37.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05085626

prune111.0ms

Filtered
56 candidates to 100 candidates (-78.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh134
Picked101
Done011
Total988106

Merged error: 0.0b

Counts
106 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
0.1b
(sqrt (sqrt x))
0.3b
(* (* y (sqrt (sqrt x))) (pow x 1/4))
0.3b
(* y (sqrt (sqrt x)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
22×sqrt-prod
20×add-sqr-sqrt
19×add-exp-log
16×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
10×prod-exp
9×add-log-exp
8×pow1
4×sqrt-pow1 associate-*l* cbrt-unprod
3×unpow-prod-down unswap-sqr
2×pow-to-exp rem-sqrt-square associate-+l+ pow1/2 pow-exp sum-log *-commutative
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down flip-+ sqr-pow
Counts
4 → 84
Calls
4 calls:
8.0ms
(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
2.0ms
(sqrt (sqrt x))
9.0ms
(* (* y (sqrt (sqrt x))) (pow x 1/4))
7.0ms
(* y (sqrt (sqrt x)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
17.0ms
(sqrt (sqrt x))
14.0ms
(* (* y (sqrt (sqrt x))) (pow x 1/4))
12.0ms
(* y (sqrt (sqrt x)))

simplify59.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05049916

prune127.0ms

Filtered
61 candidates to 96 candidates (-57.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New95196
Fresh156
Picked011
Done011
Total968104

Merged error: 0b

Counts
104 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (sqrt (sqrt x)))
0.2b
(* y (* (sqrt (sqrt x)) (sqrt (sqrt (sqrt x)))))
0.3b
(* (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))))
0.3b
(* (* y (* (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt x))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
99×sqrt-prod
49×add-sqr-sqrt
42×sqrt-pow1
38×pow1
25×associate-*r*
20×add-exp-log add-cbrt-cube
19×add-cube-cbrt *-un-lft-identity
16×pow1/2
14×pow-prod-down
13×associate-*l*
12×unswap-sqr
10×prod-exp pow-prod-up cbrt-unprod
4×add-log-exp
3×rem-sqrt-square pow3 *-commutative
1×sqrt-unprod
Counts
4 → 135
Calls
4 calls:
3.0ms
(sqrt (sqrt (sqrt x)))
15.0ms
(* y (* (sqrt (sqrt x)) (sqrt (sqrt (sqrt x)))))
13.0ms
(* (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))))
21.0ms
(* (* y (* (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt x))))

series71.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt (sqrt (sqrt x)))
20.0ms
(* y (* (sqrt (sqrt x)) (sqrt (sqrt (sqrt x)))))
25.0ms
(* (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))))
8.0ms
(* (* y (* (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt x))))

simplify32.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
050531155

prune114.0ms

Filtered
74 candidates to 147 candidates (-98.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1470147
Fresh055
Picked011
Done022
Total1478155

Merged error: 0b

Counts
155 → 8

regimes172.0ms

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
098
198

end0.0ms

sample973.0ms

Algorithm
intervals
Results
254.0ms8584×body80valid
253.0ms8398×body80nan
0.0ms1×body1280valid

Profiling

Loading profile data...