Details

Time bar (total: 1.4s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14

sample16.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0106
1106

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.8b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

26.9b
(sqrt (* 2.0 (* x x)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1
3×sqrt-pow1 pow-prod-down
1×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow1/2 sqrt-prod add-cbrt-cube add-log-exp
Counts
1 → 12
Calls
1 calls:
6.0ms
(sqrt (* 2.0 (* x x)))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(sqrt (* 2.0 (* x x)))

simplify109.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (107.0ms)

IterNodesCost
0467578
1467578

prune35.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New11415
Fresh000
Picked011
Done000
Total11516

Merged error: 0.2b

Counts
16 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (sqrt 2.0) (fabs x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*l*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*r* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
5.0ms
(* (sqrt 2.0) (fabs x))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* (sqrt 2.0) (fabs x))

simplify42.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04989163
14989163

prune52.0ms

Filtered
15 candidates to 25 candidates (-66.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New19625
Fresh303
Picked011
Done011
Total22830

Merged error: 0.0b

Counts
30 → 8

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (fabs x) (cbrt (sqrt 2.0)))
0.3b
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (fabs x) (cbrt (sqrt 2.0))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
12×add-sqr-sqrt
10×associate-*r*
9×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
8×cbrt-prod
6×add-cube-cbrt *-un-lft-identity
4×associate-*l* sqrt-prod
3×unswap-sqr
2×*-commutative add-log-exp
Counts
2 → 48
Calls
2 calls:
5.0ms
(* (fabs x) (cbrt (sqrt 2.0)))
11.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (fabs x) (cbrt (sqrt 2.0))))

series29.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (fabs x) (cbrt (sqrt 2.0)))
4.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (fabs x) (cbrt (sqrt 2.0))))

simplify60.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05016368

prune101.0ms

Filtered
30 candidates to 54 candidates (-80.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New53154
Fresh145
Picked011
Done022
Total54862

Merged error: 0.0b

Counts
62 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
0.3b
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0)))))
0.4b
(* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
49×pow1 add-exp-log
33×pow-prod-down prod-exp cbrt-unprod
24×add-cbrt-cube
15×cbrt-prod
14×associate-*r*
9×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×associate-*l*
3×sqrt-prod *-commutative add-log-exp
1×unswap-sqr
Counts
3 → 83
Calls
3 calls:
14.0ms
(* (* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
22.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0)))))
10.0ms
(* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

series60.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(* (* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
4.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0)))))
32.0ms
(* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04878653
14878653

prune150.0ms

Filtered
45 candidates to 92 candidates (-104.4%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh044
Picked011
Done033
Total928100

Merged error: 0.0b

Counts
100 → 8

regimes212.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01425
11425

end0.0ms

sample291.0ms

Algorithm
intervals
Results
200.0ms8000×body80valid

Profiling

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