Details

Time bar (total: 2.2s)

analyze47.0ms (2.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
56.2%43.7%0.1%6
65.6%34.3%0.1%7
76.5%23.4%0.1%8
82%18%0.1%9
87.8%12.1%0.1%10
90.7%9.2%0.1%11
93.8%6.1%0.1%12
95.3%4.6%0.1%13
96.8%3.1%0.1%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample15.0ms (0.7%)

Algorithm
intervals
Results
9.0ms256×body128valid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify9.0ms (0.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0137
1137

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (+.f64 x y) x)

rewrite8.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-log-exp_binary64
distribute-lft-out_binary64 sum-log_binary64
flip3-+_binary64 pow1_binary64 add-cube-cbrt_binary64 associate-+l+_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64
Counts
1 → 15
Calls

1 calls:

7.0ms
(+.f64 (+.f64 x y) x)

series33.0ms (1.5%)

Counts
1 → 3
Calls

1 calls:

33.0ms
(+.f64 (+.f64 x y) x)

simplify69.0ms (3.1%)

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05024169

prune15.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319

Merged error: 0.0b

Counts
19 → 3
Compiler

Compiled 246 to 77 computations (68.7% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (cbrt.f64 (+.f64 x (+.f64 x y))))
0.6b
(cbrt.f64 (+.f64 x (+.f64 x y)))
0.6b
(cbrt.f64 (+.f64 x (+.f64 x y)))
0.6b
(cbrt.f64 (+.f64 x (+.f64 x y)))

rewrite50.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity_binary64
51×cbrt-prod_binary64
33×distribute-lft-out_binary64
23×add-sqr-sqrt_binary64
18×cbrt-div_binary64
15×add-cube-cbrt_binary64
14×swap-sqr_binary64
11×pow1_binary64
flip3-+_binary64 pow1/3_binary64 flip-+_binary64
associate-*r*_binary64 associate-*l*_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 frac-times_binary64
pow-prod-down_binary64 pow-prod-up_binary64 associate-*r/_binary64 pow-sqr_binary64 associate-*l/_binary64
cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 105
Calls

4 calls:

19.0ms
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (cbrt.f64 (+.f64 x (+.f64 x y))))
8.0ms
(cbrt.f64 (+.f64 x (+.f64 x y)))
6.0ms
(cbrt.f64 (+.f64 x (+.f64 x y)))
6.0ms
(cbrt.f64 (+.f64 x (+.f64 x y)))

series1.1s (49.6%)

Counts
4 → 12
Calls

4 calls:

331.0ms
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (cbrt.f64 (+.f64 x (+.f64 x y))))
267.0ms
(cbrt.f64 (+.f64 x (+.f64 x y)))
261.0ms
(cbrt.f64 (+.f64 x (+.f64 x y)))
251.0ms
(cbrt.f64 (+.f64 x (+.f64 x y)))

simplify92.0ms (4.1%)

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
048342059
148342059

prune102.0ms (4.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh011
Picked011
Done011
Total1173120

Merged error: 0.0b

Counts
120 → 3
Compiler

Compiled 2986 to 653 computations (78.1% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (+.f64 x y))
0.0b
(+.f64 x (+.f64 x y))
0.2b
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))

rewrite46.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity_binary64
38×sqrt-prod_binary64
30×distribute-lft-out_binary64
25×add-sqr-sqrt_binary64
18×pow1_binary64
16×swap-sqr_binary64
13×add-log-exp_binary64
12×sqrt-div_binary64
11×add-cube-cbrt_binary64
flip3-+_binary64 pow1/2_binary64 associate-*r*_binary64 associate-*l*_binary64 sqrt-pow1_binary64 flip-+_binary64
sum-log_binary64
pow-prod-up_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
unswap-sqr_binary64 frac-times_binary64
pow-prod-down_binary64 pow-sqr_binary64
associate-*r/_binary64 rem-sqrt-square_binary64 +-commutative_binary64 associate-+r+_binary64 associate-*l/_binary64
cbrt-unprod_binary64 rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 prod-exp_binary64 sqr-abs_binary64 pow2_binary64 *-commutative_binary64
Counts
3 → 100
Calls

3 calls:

23.0ms
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
7.0ms
(+.f64 x (+.f64 x y))
6.0ms
(+.f64 x (+.f64 x y))

series120.0ms (5.4%)

Counts
3 → 9
Calls

3 calls:

52.0ms
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
38.0ms
(+.f64 x (+.f64 x y))
30.0ms
(+.f64 x (+.f64 x y))

simplify69.0ms (3.1%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049021233
149021233

prune63.0ms (2.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh000
Picked011
Done022
Total1093112

Merged error: 0.0b

Counts
112 → 3
Compiler

Compiled 1568 to 311 computations (80.2% saved)

regimes28.0ms (1.3%)

Compiler

Compiled 128 to 67 computations (47.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample344.0ms (15.4%)

Algorithm
intervals
Results
134.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 54 to 33 computations (38.9% saved)

Profiling

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