Details

Time bar (total: 3.5s)

sample28.0ms

Algorithm
intervals
Results
8.0ms270×body80valid
7.0ms273×body80nan

simplify20.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 x) (* y (sqrt x)))
0.2b
(* y (sqrt x))

rewrite13.0ms

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))

series78.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (- 1.0 x) (* y (sqrt x)))
43.0ms
(* y (sqrt x))

simplify140.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0240231
1957202
24716192
35001192

prune77.0ms

Filtered
43 candidates to 30 candidates (69.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New37643
Fresh000
Picked011
Done000
Total37744

Merged error: 0.0b

Counts
44 → 7

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)))
0.3b
(* (* 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)))

series368.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(sqrt (sqrt x))
127.0ms
(sqrt (sqrt x))
75.0ms
(* y (sqrt (sqrt x)))
38.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify44.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0336516
11481454
25001427

prune171.0ms

Filtered
100 candidates to 60 candidates (60.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh235
Picked101
Done011
Total998107

Merged error: 0.0b

Counts
107 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
38×add-sqr-sqrt
29×unpow-prod-down
27×*-un-lft-identity
26×add-cube-cbrt associate-*r*
20×times-frac
19×prod-exp sqrt-prod
12×pow-exp
11×add-cbrt-cube
10×pow1
6×div-exp
5×unswap-sqr
4×sqrt-pow1 associate-*l* cbrt-unprod add-log-exp
3×pow-to-exp rec-exp pow-unpow pow-pow 1-exp sqr-pow
2×rem-sqrt-square pow1/2 *-commutative div-inv
1×pow-flip pow-prod-down inv-pow
Counts
4 → 119
Calls
4 calls:
5.0ms
(pow (/ 1 x) -1/4)
2.0ms
(sqrt (sqrt x))
9.0ms
(* y (pow (/ 1 x) -1/4))
11.0ms
(* (* y (pow (/ 1 x) -1/4)) (sqrt (sqrt x)))

series438.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(pow (/ 1 x) -1/4)
131.0ms
(sqrt (sqrt x))
62.0ms
(* y (pow (/ 1 x) -1/4))
78.0ms
(* (* y (pow (/ 1 x) -1/4)) (sqrt (sqrt x)))

simplify67.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0573745
12586663
25001661

prune241.0ms

Filtered
131 candidates to 78 candidates (59.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1301131
Fresh246
Picked011
Done011
Total1327139

Merged error: 0.0b

Counts
139 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* y (pow (/ 1 x) -1/4)) (* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x)))))
0.3b
(* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))))
0.6b
(cbrt (sqrt x))
0.6b
(cbrt (sqrt x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
53×add-exp-log
34×prod-exp
22×sqrt-prod
21×add-sqr-sqrt
20×cbrt-prod
18×add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity associate-*r*
11×pow1
9×cbrt-unprod
8×pow-exp
4×div-exp associate-*l* pow-prod-down add-log-exp unswap-sqr
2×pow-to-exp rec-exp pow1/3 1-exp *-commutative
Counts
4 → 88
Calls
4 calls:
12.0ms
(* (* y (pow (/ 1 x) -1/4)) (* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x)))))
7.0ms
(* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))))
2.0ms
(cbrt (sqrt x))
2.0ms
(cbrt (sqrt x))

series610.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (* y (pow (/ 1 x) -1/4)) (* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x)))))
167.0ms
(* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))))
155.0ms
(cbrt (sqrt x))
165.0ms
(cbrt (sqrt x))

simplify52.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0440986
11705864
25001845

prune236.0ms

Filtered
100 candidates to 61 candidates (61.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New991100
Fresh224
Picked011
Done022
Total1016107

Merged error: 0b

Counts
107 → 6

regimes78.0ms

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

sample724.0ms

Algorithm
intervals
Results
234.0ms8539×body80valid
214.0ms8624×body80nan
0.0ms2×body1280valid
0.0ms1×body640valid