Details

Time bar (total: 2.5s)

sample30.0ms

Algorithm
intervals
Results
18.0ms257×body80valid

simplify738.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
048116
148116

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 29.7b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow x 2.0) 2)
28.4b
(sqrt (* (pow x 2.0) 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
7×add-exp-log associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube
3×pow1 associate-*r* prod-exp unswap-sqr
2×add-log-exp sqr-pow
1×pow-to-exp sqrt-pow1 pow1/2 pow-exp sqrt-prod *-commutative cbrt-unprod
Counts
2 → 35
Calls
2 calls:
5.0ms
(* (pow x 2.0) 2)
5.0ms
(sqrt (* (pow x 2.0) 2))

series139.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* (pow x 2.0) 2)
82.0ms
(sqrt (* (pow x 2.0) 2))

simplify58.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04893307
14893307

prune98.0ms

Filtered
32 candidates to 41 candidates (-28.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New34741
Fresh000
Picked011
Done000
Total34842

Merged error: 16.2b

Counts
42 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (sqrt (pow x 2.0)) (sqrt 2))
28.4b
(sqrt (pow x 2.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
25×add-sqr-sqrt
10×associate-*l*
9×add-cube-cbrt unpow-prod-down *-un-lft-identity
8×unswap-sqr
6×associate-*r*
5×sqr-pow
4×pow1 add-exp-log add-cbrt-cube
3×rem-sqrt-square pow1/2
2×pow-prod-down add-log-exp
1×sqrt-pow1 sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
2 → 56
Calls
2 calls:
7.0ms
(* (sqrt (pow x 2.0)) (sqrt 2))
2.0ms
(sqrt (pow x 2.0))

series116.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* (sqrt (pow x 2.0)) (sqrt 2))
56.0ms
(sqrt (pow x 2.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04861536
14861536

prune126.0ms

Filtered
43 candidates to 62 candidates (-44.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New56662
Fresh606
Picked101
Done011
Total63770

Merged error: 0.1b

Counts
70 → 7

localize8.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (fabs (pow x (/ 2.0 2))) (sqrt 2))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
4.0ms
(* (fabs (pow x (/ 2.0 2))) (sqrt 2))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* (fabs (pow x (/ 2.0 2))) (sqrt 2))

simplify45.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04907262
14907262

prune75.0ms

Filtered
18 candidates to 25 candidates (-38.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New20525
Fresh415
Picked011
Done101
Total25732

Merged error: 0.0b

Counts
32 → 7

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (fabs (pow x (* 2.0 1/2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
0.3b
(* (* (fabs (pow x (* 2.0 1/2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
10×associate-*r*
9×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
7×add-sqr-sqrt
6×cbrt-prod add-cube-cbrt *-un-lft-identity
4×associate-*l*
3×sqrt-prod
2×*-commutative add-log-exp
1×unswap-sqr
Counts
2 → 46
Calls
2 calls:
7.0ms
(* (fabs (pow x (* 2.0 1/2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
11.0ms
(* (* (fabs (pow x (* 2.0 1/2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))

series37.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (fabs (pow x (* 2.0 1/2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
8.0ms
(* (* (fabs (pow x (* 2.0 1/2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))

simplify44.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04966609
14966609

prune103.0ms

Filtered
32 candidates to 52 candidates (-62.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New50252
Fresh415
Picked101
Done011
Total55459

Merged error: 0.0b

Counts
59 → 4

regimes44.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01822
11822

end0.0ms

sample652.0ms

Algorithm
intervals
Results
486.0ms8001×body80valid

Profiling

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