Details

Time bar (total: 1.4s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
093
1103
2103

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

29.2b
(sqrt (* (* 2.0 x) x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1
3×sqrt-pow1 pow-prod-down
1×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:
3.0ms
(sqrt (* (* 2.0 x) x))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(sqrt (* (* 2.0 x) x))

simplify97.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03345
16043
28643
310043
411943
517343
660043
7183143
8500143

prune36.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New9615
Fresh000
Picked011
Done000
Total9716

Merged error: 0.2b

Counts
16 → 7

localize3.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (sqrt 2.0) 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) x)

series6.0ms

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

simplify55.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
06484
122480
252180
380980
4193380
5500180

prune51.0ms

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

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New21425
Fresh055
Picked101
Done011
Total221032

Merged error: 0.1b

Counts
32 → 10

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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 2.0)) x)
11.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))

series30.0ms

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

simplify125.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (121.0ms)

IterNodesCost
0155394
1670289
24049252
35002240

prune114.0ms

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

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New53154
Fresh088
Picked011
Done011
Total531164

Merged error: 0.1b

Counts
64 → 11

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (pow (sqrt 2.0) 2/3))
0.3b
(* (cbrt (sqrt 2.0)) (* x (pow (sqrt 2.0) 2/3)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
16×add-sqr-sqrt
12×associate-*l*
11×associate-*r*
10×prod-exp
9×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down
7×sqrt-prod add-cbrt-cube
6×cbrt-prod
4×pow1 cbrt-unprod unswap-sqr
2×pow-to-exp pow-exp *-commutative add-log-exp sqr-pow
1×pow-prod-down
Counts
2 → 54
Calls
2 calls:
6.0ms
(* x (pow (sqrt 2.0) 2/3))
7.0ms
(* (cbrt (sqrt 2.0)) (* x (pow (sqrt 2.0) 2/3)))

series38.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (pow (sqrt 2.0) 2/3))
4.0ms
(* (cbrt (sqrt 2.0)) (* x (pow (sqrt 2.0) 2/3)))

simplify131.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (127.0ms)

IterNodesCost
0191356
1749305
24103288
35001275

prune92.0ms

Filtered
39 candidates to 60 candidates (-53.8%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New60060
Fresh088
Picked011
Done022
Total601171

Merged error: 0.1b

Counts
71 → 11

regimes254.0ms

Accuracy

99.1% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 30.7b

bsearch13.0ms

Steps
ItersRangePoint
9
-6.6368477679967e-307
6.744065498712113e-305
-1.39461114305843e-310

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187
1247
2247

end0.0ms

sample308.0ms

Algorithm
intervals
Results
186.0ms8001×body80valid

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