Details

Time bar (total: 1.6s)

sample16.0ms

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
084
1114
2144
3144

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 26.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* x x))
25.1b
(sqrt (+ (* x x) (* x x)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×sqrt-prod
4×add-sqr-sqrt add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity
2×add-exp-log distribute-rgt-out flip3-+ count-2 sqrt-div add-cbrt-cube flip-+ distribute-lft-out
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
2 → 32
Calls
2 calls:
3.0ms
(+ (* x x) (* x x))
4.0ms
(sqrt (+ (* x x) (* x x)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ (* x x) (* x x))
4.0ms
(sqrt (+ (* x x) (* x x)))

simplify241.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (237.0ms)

IterNodesCost
099167
1443152
23106141
35002139

prune55.0ms

Filtered
27 candidates to 38 candidates (-40.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New33538
Fresh000
Picked011
Done000
Total33639

Merged error: 0.2b

Counts
39 → 6

localize4.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt 2) (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:
4.0ms
(* (sqrt 2) (fabs x))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* (sqrt 2) (fabs x))

simplify78.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
065115
1224107
2526107
3884107
42528107
55001107

prune48.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New20525
Fresh314
Picked011
Done011
Total23831

Merged error: 0.0b

Counts
31 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (cbrt (sqrt 2)) (fabs x))
0.3b
(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (fabs x)))

rewrite16.0ms

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

series25.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(* (cbrt (sqrt 2)) (fabs x))
4.0ms
(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (fabs x)))

simplify130.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0155464
1674347
24101308
35001296

prune107.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New52254
Fresh235
Picked011
Done112
Total55762

Merged error: 0b

Counts
62 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cbrt (cbrt (sqrt 2))) (fabs x))
0.3b
(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (fabs x))))
0.4b
(* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (fabs x)))

rewrite43.0ms

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*
8×add-cube-cbrt *-un-lft-identity
5×associate-*r*
4×sqrt-prod unswap-sqr
3×*-commutative add-log-exp
Counts
3 → 92
Calls
3 calls:
5.0ms
(* (cbrt (cbrt (sqrt 2))) (fabs x))
20.0ms
(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (fabs x))))
14.0ms
(* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (fabs x)))

series47.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(* (cbrt (cbrt (sqrt 2))) (fabs x))
4.0ms
(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (fabs x))))
21.0ms
(* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (fabs x)))

simplify61.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
03151605
115331015
25001718

prune192.0ms

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

regimes181.0ms

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

sample328.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.024414%

Guaranteed chance to sample good point: 99.993895%

Results
194.0ms8000×body80valid

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