Details

Time bar (total: 1.8s)

analyze100.0ms (5.5%)

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
0%99.9%0.1%4
25%74.9%0.1%5
25%62.4%12.6%6
25%46.8%28.2%7
31.2%35.9%32.9%8
39%25%36%9
42.9%18.7%38.3%10
47.2%12.9%39.9%11
49.4%9.6%41.1%12
51.6%6.5%41.9%13
52.7%4.8%42.4%14
Compiler

Compiled 14 to 10 computations (28.6% saved)

sample16.0ms (0.9%)

Algorithm
intervals
Results
8.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify160.0ms (8.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03816
13816

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 22 to 16 computations (27.3% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x (+.f64 x (*.f64 2 y))) (*.f64 y y))
0.0b
(*.f64 x (+.f64 x (*.f64 2 y)))

rewrite16.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_17622
add-log-exp_binary64_17637 pow1_binary64_17659 add-cbrt-cube_binary64_17634 add-exp-log_binary64_17636 add-cube-cbrt_binary64_17633 *-un-lft-identity_binary64_17601
associate-*r*_binary64_17543 associate-*l*_binary64_17544
associate-*r/_binary64_17545 flip-+_binary64_17575 flip3-+_binary64_17604 associate-+l+_binary64_17536 distribute-lft-in_binary64_17552 distribute-rgt-in_binary64_17553
prod-exp_binary64_17647 +-commutative_binary64_17533 unswap-sqr_binary64_17569 cbrt-unprod_binary64_17631 *-commutative_binary64_17534 sum-log_binary64_17689 pow-prod-down_binary64_17669
Counts
2 → 35
Calls

2 calls:

7.0ms
(+.f64 (*.f64 x (+.f64 x (*.f64 2 y))) (*.f64 y y))
6.0ms
(*.f64 x (+.f64 x (*.f64 2 y)))

series91.0ms (5%)

Counts
2 → 6
Calls

2 calls:

54.0ms
(*.f64 x (+.f64 x (*.f64 2 y)))
37.0ms
(+.f64 (*.f64 x (+.f64 x (*.f64 2 y))) (*.f64 y y))

simplify67.0ms (3.7%)

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05008646

prune38.0ms (2.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New39241
Fresh000
Picked101
Done000
Total40242

Merged error: 0b

Counts
42 → 2
Compiler

Compiled 712 to 389 computations (45.4% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 y (+.f64 y (*.f64 x 2)))
0.0b
(+.f64 (*.f64 x x) (*.f64 y (+.f64 y (*.f64 x 2))))

rewrite13.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_17622
add-log-exp_binary64_17637 pow1_binary64_17659 add-cbrt-cube_binary64_17634 add-exp-log_binary64_17636 add-cube-cbrt_binary64_17633 *-un-lft-identity_binary64_17601
associate-*r*_binary64_17543 associate-*l*_binary64_17544
associate-*r/_binary64_17545 flip-+_binary64_17575 flip3-+_binary64_17604 distribute-lft-in_binary64_17552 distribute-rgt-in_binary64_17553 associate-+r+_binary64_17535
prod-exp_binary64_17647 +-commutative_binary64_17533 unswap-sqr_binary64_17569 cbrt-unprod_binary64_17631 *-commutative_binary64_17534 sum-log_binary64_17689 pow-prod-down_binary64_17669
Counts
2 → 35
Calls

2 calls:

6.0ms
(*.f64 y (+.f64 y (*.f64 x 2)))
5.0ms
(+.f64 (*.f64 x x) (*.f64 y (+.f64 y (*.f64 x 2))))

series86.0ms (4.7%)

Counts
2 → 6
Calls

2 calls:

48.0ms
(*.f64 y (+.f64 y (*.f64 x 2)))
37.0ms
(+.f64 (*.f64 x x) (*.f64 y (+.f64 y (*.f64 x 2))))

simplify57.0ms (3.2%)

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05064646

prune35.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New41041
Fresh011
Picked011
Done000
Total41243

Merged error: 0b

Counts
43 → 2
Compiler

Compiled 705 to 380 computations (46.1% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 x (*.f64 2 y)))) (sqrt.f64 (+.f64 x (*.f64 2 y)))) (*.f64 y y))
0.1b
(*.f64 x (sqrt.f64 (+.f64 x (*.f64 2 y))))
0.2b
(*.f64 (*.f64 x (sqrt.f64 (+.f64 x (*.f64 2 y)))) (sqrt.f64 (+.f64 x (*.f64 2 y))))

rewrite40.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
14×sqrt-div_binary64_17617
12×associate-*r*_binary64_17543 add-sqr-sqrt_binary64_17622
10×associate-*r/_binary64_17545 pow1_binary64_17659 add-cbrt-cube_binary64_17634 add-exp-log_binary64_17636
flip-+_binary64_17575 flip3-+_binary64_17604 add-cube-cbrt_binary64_17633 *-un-lft-identity_binary64_17601
sqrt-prod_binary64_17616
add-log-exp_binary64_17637
prod-exp_binary64_17647 frac-times_binary64_17611 cbrt-unprod_binary64_17631 associate-*l*_binary64_17544 pow-prod-down_binary64_17669
associate-*l/_binary64_17546 unswap-sqr_binary64_17569 *-commutative_binary64_17534
+-commutative_binary64_17533 sum-log_binary64_17689
Counts
3 → 64
Calls

3 calls:

13.0ms
(+.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 x (*.f64 2 y)))) (sqrt.f64 (+.f64 x (*.f64 2 y)))) (*.f64 y y))
12.0ms
(*.f64 (*.f64 x (sqrt.f64 (+.f64 x (*.f64 2 y)))) (sqrt.f64 (+.f64 x (*.f64 2 y))))
7.0ms
(*.f64 x (sqrt.f64 (+.f64 x (*.f64 2 y))))

series244.0ms (13.4%)

Counts
3 → 9
Calls

3 calls:

98.0ms
(*.f64 x (sqrt.f64 (+.f64 x (*.f64 2 y))))
75.0ms
(*.f64 (*.f64 x (sqrt.f64 (+.f64 x (*.f64 2 y)))) (sqrt.f64 (+.f64 x (*.f64 2 y))))
70.0ms
(+.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 x (*.f64 2 y)))) (sqrt.f64 (+.f64 x (*.f64 2 y)))) (*.f64 y y))

simplify54.0ms (3%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049731466
149731466

prune79.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New73073
Fresh000
Picked011
Done011
Total73275

Merged error: 0b

Counts
75 → 2
Compiler

Compiled 1743 to 1050 computations (39.8% saved)

regimes61.0ms (3.4%)

Compiler

Compiled 585 to 401 computations (31.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01316
11316

end0.0ms (0%)

sample632.0ms (34.8%)

Algorithm
intervals
Results
265.0ms8000×body128valid
10.0ms204×body128invalid
Compiler

Compiled 223 to 154 computations (30.9% saved)

Profiling

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