Details

Time bar (total: 1.9s)

sample30.0ms

Algorithm
intervals
Results
7.0ms270×body80valid
7.0ms287×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0788
1788

prune5.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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

series12.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
6.0ms
(* y (sqrt x))

simplify49.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04965366
14965366

prune61.0ms

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

rewrite19.0ms

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)))
8.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series45.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(sqrt (sqrt x))
14.0ms
(sqrt (sqrt x))
12.0ms
(* y (sqrt (sqrt x)))
6.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify40.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05085626

prune91.0ms

Filtered
57 candidates to 100 candidates (-75.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New982100
Fresh145
Picked011
Done011
Total998107

Merged error: 0b

Counts
107 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))
0.4b
(* (* y (* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))) (sqrt (sqrt (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
36×sqrt-prod
27×add-sqr-sqrt
18×associate-*r*
17×pow1
15×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*l*
9×cbrt-prod pow-prod-down
7×prod-exp cbrt-unprod
6×unswap-sqr
4×add-log-exp
2×sqrt-pow1 pow1/2 pow1/3 *-commutative
1×sqrt-unprod
Counts
4 → 87
Calls
4 calls:
7.0ms
(* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))
12.0ms
(* (* y (* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))) (sqrt (sqrt (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series96.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))
33.0ms
(* (* y (* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))) (sqrt (sqrt (cbrt x))))
22.0ms
(cbrt x)
20.0ms
(cbrt x)

simplify56.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049301084
149301084

prune107.0ms

Filtered
61 candidates to 99 candidates (-62.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New98199
Fresh145
Picked011
Done022
Total998107

Merged error: 0b

Counts
107 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (fabs (cbrt x)))
0.3b
(* (* y (fabs (cbrt x))) (sqrt (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
11×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×cbrt-prod
6×sqrt-prod
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×pow1/3 *-commutative
1×unswap-sqr
Counts
4 → 64
Calls
4 calls:
3.0ms
(* y (fabs (cbrt x)))
7.0ms
(* (* y (fabs (cbrt x))) (sqrt (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series73.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* y (fabs (cbrt x)))
22.0ms
(* (* y (fabs (cbrt x))) (sqrt (cbrt x)))
22.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify45.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05191500

prune65.0ms

Filtered
50 candidates to 76 candidates (-52.0%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New76076
Fresh044
Picked011
Done033
Total76884

Merged error: 0b

Counts
84 → 8

regimes162.0ms

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

sample853.0ms

Algorithm
intervals
Results
234.0ms8511×body80valid
225.0ms8530×body80nan
0.0ms1×body1280valid

Profiling

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