Details

Time bar (total: 568.0ms)

analyze4.0ms

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

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0119
1119

prune10.0ms

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: 29.6b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

28.6b
(sqrt.f64 (*.f64 (*.f64 2 x) x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1_binary64
3×pow-prod-down_binary64 sqrt-pow1_binary64
1×*-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))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(sqrt.f64 (*.f64 (*.f64 2 x) x))

simplify197.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (182.0ms)

IterNodesCost
04652123
14652123

prune67.0ms

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

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(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)))))
28.6b
(sqrt.f64 (*.f64 x (*.f64 2 x)))
28.6b
(sqrt.f64 (*.f64 x (*.f64 2 x)))

rewrite34.0ms

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
9×swap-sqr_binary64
7×associate-*r*_binary64 associate-*l*_binary64
6×add-exp-log_binary64 add-cbrt-cube_binary64
4×add-log-exp_binary64 unswap-sqr_binary64
1×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:
4.0ms
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x))))
15.0ms
(*.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)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x))))
21.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))))
24.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))
24.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
059791338

prune21.0ms

Filtered
68 candidates to 142 candidates (-108.8%)

Profiling

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