Details

Time bar (total: 1.5s)

sample17.0ms

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

simplify4.0ms

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: 26.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (* x x))
25.1b
(sqrt (* 2.0 (* x x)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1
7×add-exp-log add-cbrt-cube
6×pow-prod-down
4×add-sqr-sqrt
3×add-cube-cbrt *-un-lft-identity sqrt-pow1 associate-*l* prod-exp cbrt-unprod
2×add-log-exp
1×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)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* 2.0 (* x x))
10.0ms
(sqrt (* 2.0 (* x x)))

simplify136.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0106119
1353102
21078102
34159102
45002102

prune51.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34337
Fresh000
Picked011
Done000
Total34438

Merged error: 0.3b

Counts
38 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (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:
4.0ms
(* (sqrt 2.0) (fabs x))

series5.0ms

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

simplify56.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
065115
1225107
2522107
3810107
41934107
55002107

prune46.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New20525
Fresh202
Picked011
Done011
Total22729

Merged error: 0.0b

Counts
29 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:
10.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs x)))
5.0ms
(* (cbrt (sqrt 2.0)) (fabs x))

series30.0ms

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

simplify128.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (123.0ms)

IterNodesCost
0156464
1673347
24052308
35001296

prune105.0ms

Filtered
32 candidates to 54 candidates (-68.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New52254
Fresh134
Picked101
Done022
Total54761

Merged error: 0b

Counts
61 → 7

localize10.0ms

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)))

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:
6.0ms
(* (cbrt (cbrt (sqrt 2.0))) (fabs x))
21.0ms
(* (* (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))
6.0ms
(* (* (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))))
22.0ms
(* (* (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 (47.0ms)

IterNodesCost
03161605
115261015
25001718

prune193.0ms

Filtered
46 candidates to 101 candidates (-119.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh044
Picked011
Done022
Total1017108

Merged error: 0b

Counts
108 → 7

regimes171.0ms

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

sample315.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.024414%

Guaranteed chance to sample good point: 99.993895%

Results
188.0ms8000×body80valid

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