Details

Time bar (total: 1.4s)

sample15.0ms

Algorithm
intervals
Results
8.0ms257×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: 28.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

27.0b
(sqrt (* 2.0 (* x x)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
pow1
sqrt-pow1 pow-prod-down
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:
8.0ms
(sqrt (* 2.0 (* x x)))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(sqrt (* 2.0 (* x x)))

simplify83.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
0476378
1476378

prune47.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New10515
Fresh000
Picked101
Done000
Total11516

Merged error: 0.2b

Counts
16 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* (sqrt 2.0) (fabs x))

simplify36.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04989163
14989163

prune54.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New20525
Fresh314
Picked011
Done000
Total23730

Merged error: 0.0b

Counts
30 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
12×add-sqr-sqrt
10×associate-*r*
pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
cbrt-prod
add-cube-cbrt *-un-lft-identity
associate-*l* sqrt-prod
unswap-sqr
*-commutative add-log-exp
Counts
2 → 48
Calls
2 calls:
6.0ms
(* (fabs x) (cbrt (sqrt 2.0)))
12.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (fabs x) (cbrt (sqrt 2.0))))

series35.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (fabs x) (cbrt (sqrt 2.0)))
5.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (fabs x) (cbrt (sqrt 2.0))))

simplify50.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05016368

prune107.0ms

Filtered
31 candidates to 54 candidates (-74.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New53154
Fresh145
Picked101
Done011
Total55661

Merged error: 0b

Counts
61 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

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*
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
associate-*l*
sqrt-prod *-commutative add-log-exp
unswap-sqr
Counts
3 → 83
Calls
3 calls:
16.0ms
(* (* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
27.0ms
(* (* (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)))))
11.0ms
(* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

series64.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* (* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
5.0ms
(* (* (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)))))
33.0ms
(* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04878653
14878653

prune169.0ms

Filtered
46 candidates to 92 candidates (-100.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh044
Picked011
Done011
Total92698

Merged error: 0b

Counts
98 → 6

regimes131.0ms

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

sample355.0ms

Algorithm
intervals
Results
208.0ms8006×body80valid

Profiling

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