Details

Time bar (total: 1.2s)

sample12.0ms

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

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.5b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

29.5b
(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:
4.0ms
(sqrt (* (* 2.0 x) x))

series4.0ms

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

simplify103.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03345
16043
28643
310043
411943
517343
660043
7183143
8500143

prune52.0ms

Filtered
15 candidates to 11 candidates (26.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New11415
Fresh000
Picked011
Done000
Total11516

Merged error: 0.2b

Counts
16 → 5

localize3.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (sqrt 2.0) x)

rewrite6.0ms

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:
5.0ms
(* (sqrt 2.0) x)

series4.0ms

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

simplify57.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
06484
122480
252180
380980
4193380
5500180

prune43.0ms

Filtered
25 candidates to 15 candidates (40.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New22325
Fresh033
Picked101
Done011
Total23730

Merged error: 0.1b

Counts
30 → 7

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))

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

series31.0ms

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

prune99.0ms

Filtered
54 candidates to 33 candidates (38.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New54054
Fresh055
Picked011
Done011
Total54761

Merged error: 0.1b

Counts
61 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
18×associate-*l*
15×add-sqr-sqrt
9×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×unswap-sqr
2×*-commutative add-log-exp
Counts
2 → 50
Calls
2 calls:
5.0ms
(* (sqrt (sqrt 2.0)) x)
8.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))

series10.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (sqrt (sqrt 2.0)) x)
4.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))

simplify64.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0124289
1514247
21459247
32280247
45001247

prune75.0ms

Filtered
56 candidates to 34 candidates (39.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh044
Picked011
Done022
Total56763

Merged error: 0.1b

Counts
63 → 7

regimes188.0ms

Accuracy

99.1% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 31.5b

bsearch12.0ms

Steps
ItersRangePoint
9
-4.668859499534314e-305
1.1707446602637905e-305
3.0508750457605e-310

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01812
12412
22412

end0.0ms

sample295.0ms

Algorithm
intervals
Results
182.0ms8001×body80valid

Profiling

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