Details

Time bar (total: 1.0s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14

sample16.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0106
1106

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 30.7b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

29.6b
(sqrt.f64 (*.f64 (*.f64 2 x) x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
pow1_binary64
pow-prod-down_binary64 sqrt-pow1_binary64
*-un-lft-identity_binary64 add-log-exp_binary64 pow1/2_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 sqrt-prod_binary64
Counts
1 → 12
Calls
1 calls:
4.0ms
(sqrt.f64 (*.f64 (*.f64 2 x) x))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(sqrt.f64 (*.f64 (*.f64 2 x) x))

simplify131.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (127.0ms)

IterNodesCost
0467480
1467480

prune27.0ms

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: 0.1b

Counts
16 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x))))
0.5b
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))))
29.6b
(sqrt.f64 (*.f64 x (*.f64 2 x)))
29.6b
(sqrt.f64 (*.f64 x (*.f64 2 x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
158×pow1_binary64
154×sqrt-pow1_binary64
82×pow-prod-down_binary64
33×sqrt-prod_binary64
26×add-sqr-sqrt_binary64
24×pow1/2_binary64
21×pow-prod-up_binary64
13×*-un-lft-identity_binary64 add-cube-cbrt_binary64 pow-sqr_binary64
swap-sqr_binary64
associate-*r*_binary64 associate-*l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 unswap-sqr_binary64
cbrt-unprod_binary64 rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 rem-sqrt-square_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 130
Calls
4 calls:
5.0ms
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x))))
17.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))))
6.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))

series20.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x))))
4.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))

simplify63.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04942830
14942830

prune84.0ms

Filtered
67 candidates to 142 candidates (-111.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1420142
Fresh044
Picked011
Done011
Total1426148

Merged error: 0.1b

Counts
148 → 6

localize3.0ms

Local error

Found 1 expressions with local error:

0.4b
(*.f64 x (sqrt.f64 2))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
associate-*r*_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
unswap-sqr_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 *-commutative_binary64
Counts
1 → 22
Calls
1 calls:
5.0ms
(*.f64 x (sqrt.f64 2))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(*.f64 x (sqrt.f64 2))

simplify33.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
04888133
14888133

prune25.0ms

Filtered
14 candidates to 25 candidates (-78.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New24125
Fresh033
Picked011
Done022
Total24731

Merged error: 0.1b

Counts
31 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
0.4b
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod_binary64
18×associate-*r*_binary64
15×add-sqr-sqrt_binary64
*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64
unswap-sqr_binary64
add-log-exp_binary64 *-commutative_binary64
Counts
2 → 50
Calls
2 calls:
6.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
10.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

series11.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
4.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

simplify60.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05070343

prune34.0ms

Filtered
28 candidates to 56 candidates (-100.0%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New56056
Fresh033
Picked011
Done033
Total56763

Merged error: 0.1b

Counts
63 → 7

regimes124.0ms

Accuracy

99% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 30.6b

bsearch11.0ms

Steps
ItersRangePoint
9
-8.8864683877263e-309
3.48992956228169e-302
1.5307481317311e-310

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03213
13213

end0.0ms

sample276.0ms

Algorithm
intervals
Results
185.0ms8000×body80valid
0.0msbody80invalid

Profiling

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