Details

Time bar (total: 1.5s)

analyze104.0ms (6.8%)

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)

sample15.0ms (1%)

Algorithm
intervals
Results
9.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify9.0ms (0.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03816
13816

prune5.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 59 to 42 computations (28.8% saved)

localize11.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
flip3-+_binary64 *-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
1 → 11
Calls

1 calls:

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

series53.0ms (3.4%)

Counts
1 → 3
Calls

1 calls:

53.0ms
(+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) y))

simplify66.0ms (4.3%)

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04958211
14958211

prune16.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh011
Picked011
Done000
Total13316

Merged error: 0b

Counts
16 → 3
Compiler

Compiled 315 to 181 computations (42.5% saved)

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
*-un-lft-identity_binary64 pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
associate-*r/_binary64
pow-prod-down_binary64 flip3-+_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 flip-+_binary64 *-commutative_binary64
Counts
1 → 22
Calls

1 calls:

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

series52.0ms (3.4%)

Counts
1 → 3
Calls

1 calls:

52.0ms
(*.f64 x (+.f64 x (*.f64 2 y)))

simplify84.0ms (5.5%)

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
04903316
14903316

prune21.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New25025
Fresh011
Picked011
Done011
Total25328

Merged error: 0b

Counts
28 → 3
Compiler

Compiled 490 to 178 computations (63.7% saved)

localize10.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 x (+.f64 x (*.f64 2 y)))
0.1b
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x (*.f64 2 y)))) (sqrt.f64 (*.f64 x (+.f64 x (*.f64 2 y)))))
6.7b
(sqrt.f64 (*.f64 x (+.f64 x (*.f64 2 y))))
6.7b
(sqrt.f64 (*.f64 x (+.f64 x (*.f64 2 y))))

rewrite42.0ms (2.7%)

Algorithm
rewrite-expression-head
Rules
61×pow1_binary64
32×sqrt-pow1_binary64
23×pow-prod-down_binary64
20×associate-*r/_binary64
16×sqrt-div_binary64
14×add-sqr-sqrt_binary64
12×pow1/2_binary64
10×*-un-lft-identity_binary64 pow-prod-up_binary64 add-cube-cbrt_binary64
flip3-+_binary64 flip-+_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-*r*_binary64 associate-*l*_binary64
pow-sqr_binary64 sqrt-prod_binary64
add-log-exp_binary64 swap-sqr_binary64 frac-times_binary64
cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 associate-*l/_binary64 *-commutative_binary64
rem-square-sqrt_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 pow-plus_binary64 sqrt-unprod_binary64 pow2_binary64
Counts
4 → 105
Calls

4 calls:

14.0ms
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x (*.f64 2 y)))) (sqrt.f64 (*.f64 x (+.f64 x (*.f64 2 y)))))
6.0ms
(*.f64 x (+.f64 x (*.f64 2 y)))
4.0ms
(sqrt.f64 (*.f64 x (+.f64 x (*.f64 2 y))))
4.0ms
(sqrt.f64 (*.f64 x (+.f64 x (*.f64 2 y))))

series262.0ms (17.1%)

Counts
4 → 12
Calls

4 calls:

80.0ms
(sqrt.f64 (*.f64 x (+.f64 x (*.f64 2 y))))
75.0ms
(sqrt.f64 (*.f64 x (+.f64 x (*.f64 2 y))))
57.0ms
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x (*.f64 2 y)))) (sqrt.f64 (*.f64 x (+.f64 x (*.f64 2 y)))))
49.0ms
(*.f64 x (+.f64 x (*.f64 2 y)))

simplify95.0ms (6.2%)

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049481543
149481543

prune110.0ms (7.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1170117
Fresh000
Picked011
Done022
Total1173120

Merged error: 0b

Counts
120 → 3
Compiler

Compiled 2668 to 1131 computations (57.6% saved)

regimes36.0ms (2.4%)

Compiler

Compiled 165 to 122 computations (26.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
11316

end0.0ms (0%)

sample518.0ms (33.8%)

Algorithm
intervals
Results
277.0ms8000×body128valid
6.0ms193×body128invalid
Compiler

Compiled 83 to 61 computations (26.5% saved)

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