Details

Time bar (total: 3.0s)

sample26.0ms

Algorithm
intervals
Results
7.0ms275×body80valid
7.0ms258×body80nan

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1234
2404
3594
4744
51034
61204
71454
82264
92574
102574

prune2.0ms

Filtered
1 candidates to 0 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 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
5.0ms
(* y (sqrt x))

series79.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (- 1.0 x) (* y (sqrt x)))
41.0ms
(* y (sqrt x))

simplify137.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0240231
1957202
24716192
35001192

prune76.0ms

Filtered
43 candidates to 30 candidates (69.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New36743
Fresh000
Picked011
Done000
Total36844

Merged error: 0.0b

Counts
44 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.2b
(* y (sqrt (sqrt x)))
0.4b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite21.0ms

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))
6.0ms
(* y (sqrt (sqrt x)))
9.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series369.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(sqrt (sqrt x))
126.0ms
(sqrt (sqrt x))
75.0ms
(* y (sqrt (sqrt x)))
41.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0336516
11481454
25001427

prune160.0ms

Filtered
100 candidates to 60 candidates (60.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New973100
Fresh336
Picked101
Done011
Total1017108

Merged error: 0.0b

Counts
108 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
0.1b
(sqrt (sqrt x))
0.2b
(* y (pow x 1/4))
0.4b
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-sqr-sqrt sqrt-prod
16×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
10×prod-exp
9×add-log-exp
8×pow1
4×unpow-prod-down sqrt-pow1 associate-*l* cbrt-unprod
3×unswap-sqr
2×pow-to-exp rem-sqrt-square associate-+l+ pow1/2 pow-exp sum-log *-commutative sqr-pow
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down flip-+
Counts
4 → 84
Calls
4 calls:
7.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
2.0ms
(sqrt (sqrt x))
5.0ms
(* y (pow x 1/4))
8.0ms
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

series327.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
127.0ms
(sqrt (sqrt x))
56.0ms
(* y (pow x 1/4))
78.0ms
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0503618
12261553
25001553

prune196.0ms

Filtered
96 candidates to 64 candidates (66.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh055
Picked011
Done011
Total967103

Merged error: 0.0b

Counts
103 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.2b
(* y (sqrt (sqrt (sqrt x))))
0.4b
(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
0.4b
(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
61×sqrt-prod
33×associate-*r*
28×add-sqr-sqrt
22×pow1
20×add-exp-log add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×sqrt-pow1 add-log-exp unswap-sqr
3×*-commutative
2×rem-sqrt-square pow1/2
Counts
4 → 103
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
8.0ms
(* y (sqrt (sqrt (sqrt x))))
15.0ms
(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
12.0ms
(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series349.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(sqrt (sqrt x))
89.0ms
(* y (sqrt (sqrt (sqrt x))))
46.0ms
(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
79.0ms
(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify61.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0468872
12299702
25002630

prune178.0ms

Filtered
115 candidates to 65 candidates (56.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1150115
Fresh044
Picked011
Done022
Total1157122

Merged error: 0.0b

Counts
122 → 7

regimes77.0ms

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
094
194

end0.0ms

sample713.0ms

Algorithm
intervals
Results
231.0ms8578×body80valid
222.0ms8706×body80nan
0.0ms1×body640valid