Details

Time bar (total: 3.3s)

sample29.0ms

Algorithm
intervals
Results
9.0ms240×body80nan
8.0ms265×body80valid

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

series80.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (- 1.0 x) (* y (sqrt x)))
40.0ms
(* y (sqrt x))

simplify143.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0240231
1957202
24716192
35002192

prune80.0ms

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

localize9.0ms

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)))

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))
5.0ms
(sqrt (sqrt x))
6.0ms
(* y (sqrt (sqrt x)))
9.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series396.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(sqrt (sqrt x))
139.0ms
(sqrt (sqrt x))
81.0ms
(* y (sqrt (sqrt x)))
40.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify44.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0336516
11481454
25001427

prune172.0ms

Filtered
100 candidates to 60 candidates (60.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New973100
Fresh325
Picked101
Done011
Total1016107

Merged error: 0.0b

Counts
107 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
34×add-sqr-sqrt
26×add-cube-cbrt unpow-prod-down *-un-lft-identity associate-*r*
22×sqrt-prod
19×prod-exp
18×times-frac
12×pow-exp
11×add-cbrt-cube
10×pow1
6×div-exp
4×sqrt-pow1 associate-*l* cbrt-unprod add-log-exp
3×pow-to-exp rec-exp pow-unpow pow-pow 1-exp unswap-sqr
2×rem-sqrt-square pow1/2 *-commutative div-inv sqr-pow
1×pow-flip pow-prod-down inv-pow
Counts
4 → 117
Calls
4 calls:
4.0ms
(pow (/ 1 x) -1/4)
2.0ms
(sqrt (sqrt x))
6.0ms
(* y (sqrt (sqrt x)))
11.0ms
(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

series467.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(pow (/ 1 x) -1/4)
134.0ms
(sqrt (sqrt x))
78.0ms
(* y (sqrt (sqrt x)))
85.0ms
(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

simplify71.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0621768
12841693
25001691

prune238.0ms

Filtered
129 candidates to 75 candidates (58.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1281129
Fresh044
Picked011
Done011
Total1287135

Merged error: 0.0b

Counts
135 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
74×add-exp-log
45×prod-exp
30×unpow-prod-down
28×add-sqr-sqrt
27×pow-exp
24×associate-*r*
23×add-cube-cbrt *-un-lft-identity
18×times-frac
12×pow-to-exp
11×add-cbrt-cube
10×div-exp
9×add-log-exp
6×pow1
5×rec-exp 1-exp
4×associate-*l* cbrt-unprod sqr-pow
3×pow-unpow pow-pow unswap-sqr
2×associate-+l+ sum-log *-commutative div-inv
1×+-commutative associate-+l- sub-neg pow-flip flip3-+ diff-log flip-+ inv-pow
Counts
4 → 124
Calls
4 calls:
7.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (pow (/ 1 x) -1/4)))
4.0ms
(pow (/ 1 x) -1/4)
5.0ms
(* y (pow x 1/4))
10.0ms
(* (* y (pow x 1/4)) (pow (/ 1 x) -1/4))

series320.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (pow (/ 1 x) -1/4)))
176.0ms
(pow (/ 1 x) -1/4)
58.0ms
(* y (pow x 1/4))
48.0ms
(* (* y (pow x 1/4)) (pow (/ 1 x) -1/4))

simplify75.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0595809
12619726
25001700

prune203.0ms

Filtered
136 candidates to 73 candidates (53.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh044
Picked011
Done022
Total1367143

Merged error: 0.0b

Counts
143 → 7

regimes86.0ms

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

sample752.0ms

Algorithm
intervals
Results
253.0ms8560×body80valid
229.0ms8460×body80nan
0.0ms1×body1280valid

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