Details

Time bar (total: 1.6s)

sample25.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.024414%

Guaranteed chance to sample good point: 99.993895%

Results
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1113
2113

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.6b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (* x x))
29.8b
(sqrt (* 2.0 (* x x)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1
add-exp-log add-cbrt-cube
pow-prod-down
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity sqrt-pow1 associate-*l* prod-exp cbrt-unprod
add-log-exp
pow1/2 associate-*r* sqrt-prod *-commutative unswap-sqr
Counts
2 → 31
Calls
2 calls:
5.0ms
(* 2.0 (* x x))
6.0ms
(sqrt (* 2.0 (* x x)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* 2.0 (* x x))
11.0ms
(sqrt (* 2.0 (* x x)))

simplify137.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0106119
1353102
21078102
34159102
45002102

prune52.0ms

Filtered
23 candidates to 37 candidates (-60.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New35237
Fresh000
Picked011
Done000
Total35338

Merged error: 0.2b

Counts
38 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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:
4.0ms
(* (sqrt 2.0) (fabs x))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* (sqrt 2.0) (fabs x))

simplify55.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
065115
1225107
2522107
3810107
41934107
55002107

prune48.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New20525
Fresh101
Picked101
Done011
Total22628

Merged error: 0.0b

Counts
28 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
12×add-sqr-sqrt
10×associate-*l*
pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
cbrt-prod
add-cube-cbrt *-un-lft-identity
associate-*r* sqrt-prod
unswap-sqr
*-commutative add-log-exp
Counts
2 → 48
Calls
2 calls:
5.0ms
(* (cbrt (sqrt 2.0)) (fabs x))
10.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs x)))

series30.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (cbrt (sqrt 2.0)) (fabs x))
4.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs x)))

simplify126.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (122.0ms)

IterNodesCost
0156464
1671347
24050308
35001296

prune116.0ms

Filtered
33 candidates to 54 candidates (-63.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New52254
Fresh134
Picked011
Done011
Total53760

Merged error: 0b

Counts
60 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cbrt (cbrt (sqrt 2.0))) (fabs x))
0.3b
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (fabs x))))
0.4b
(* (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (fabs x)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
58×pow1 add-exp-log
40×pow-prod-down prod-exp cbrt-unprod
29×add-cbrt-cube
20×cbrt-prod
16×add-sqr-sqrt
14×associate-*l*
add-cube-cbrt *-un-lft-identity
associate-*r*
sqrt-prod unswap-sqr
*-commutative add-log-exp
Counts
3 → 92
Calls
3 calls:
6.0ms
(* (cbrt (cbrt (sqrt 2.0))) (fabs x))
20.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (fabs x))))
12.0ms
(* (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (fabs x)))

series50.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(* (cbrt (cbrt (sqrt 2.0))) (fabs x))
4.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (fabs x))))
24.0ms
(* (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (fabs x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
03161605
115261015
25001718

prune216.0ms

Filtered
47 candidates to 101 candidates (-114.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh044
Picked011
Done022
Total1017108

Merged error: 0b

Counts
108 → 7

regimes183.0ms

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
01419
11419

end0.0ms

sample348.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.024414%

Guaranteed chance to sample good point: 99.993895%

Results
200.0ms8000×body80valid

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