Details

Time bar (total: 1.3s)

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

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.1b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

30.0b
(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))

simplify98.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03345
16043
28643
310043
411943
517343
660043
7183143
8500143

prune38.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New10515
Fresh000
Picked011
Done000
Total10616

Merged error: 0.2b

Counts
16 → 6

localize4.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (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:
5.0ms
(* (sqrt 2.0) x)

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(* (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

prune41.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New23225
Fresh134
Picked011
Done011
Total24731

Merged error: 0.0b

Counts
31 → 7

localize6.0ms

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))

rewrite16.0ms

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:
6.0ms
(* (sqrt (sqrt 2.0)) x)
9.0ms
(* (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))

simplify65.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0124289
1514247
21459247
32280247
45001247

prune90.0ms

Filtered
33 candidates to 56 candidates (-69.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New55156
Fresh134
Picked011
Done022
Total56763

Merged error: 0.0b

Counts
63 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
48×sqrt-prod
33×associate-*l*
21×add-sqr-sqrt
19×pow1 add-exp-log add-cbrt-cube
15×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*r*
3×*-commutative add-log-exp unswap-sqr
Counts
3 → 83
Calls
3 calls:
6.0ms
(* (sqrt (sqrt 2.0)) x)
10.0ms
(* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x))
15.0ms
(* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)))

series47.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (sqrt (sqrt 2.0)) x)
37.0ms
(* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x))
4.0ms
(* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)))

simplify95.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0221719
1900559
24109521
35001518

prune173.0ms

Filtered
55 candidates to 92 candidates (-67.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New91192
Fresh033
Picked101
Done033
Total92799

Merged error: 0.0b

Counts
99 → 7

regimes191.0ms

Accuracy

99.2% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 31.4b

bsearch13.0ms

Steps
ItersRangePoint
8
-2.767477048954293e-306
7.202551779034995e-307
-2.66168717062614e-310

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02613
13213
23813
33813

end0.0ms

sample303.0ms

Algorithm
intervals
Results
182.0ms8003×body80valid

Profiling

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