Details

Time bar (total: 1.7s)

analyze132.0ms (7.8%)

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%40.6%34.4%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14
Compiler

Compiled 12 to 9 computations (25% saved)

sample19.0ms (1.1%)

Algorithm
intervals
Results
11.0ms256×body80valid
Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify13.0ms (0.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
02413
12413

prune6.0ms (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 29 to 22 computations (24.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l*_binary64
flip3-+_binary64 associate-*r/_binary64 associate-+l+_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip-+_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 unswap-sqr_binary64 prod-exp_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 36
Calls

2 calls:

11.0ms
(*.f64 x (+.f64 x 2))
7.0ms
(+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))

series11.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

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

simplify73.0ms (4.3%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05059509

prune29.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40242
Fresh011
Picked011
Done000
Total40444

Merged error: 0b

Counts
44 → 4
Compiler

Compiled 617 to 339 computations (45.1% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
sum-log_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
distribute-lft-out_binary64 associate-+l+_binary64
Counts
2 → 25
Calls

2 calls:

7.0ms
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
4.0ms
(+.f64 (*.f64 x 2) (*.f64 x x))

series13.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

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

simplify77.0ms (4.6%)

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
05203439

prune22.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New31031
Fresh022
Picked011
Done011
Total31435

Merged error: 0b

Counts
35 → 4
Compiler

Compiled 476 to 261 computations (45.2% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite43.0ms (2.6%)

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64
23×pow1_binary64
20×*-un-lft-identity_binary64
18×sqrt-prod_binary64
16×add-cube-cbrt_binary64
14×associate-*r*_binary64
12×associate-*l*_binary64 sqrt-div_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
flip3-+_binary64 flip-+_binary64
pow1/2_binary64 swap-sqr_binary64 sqrt-pow1_binary64
add-log-exp_binary64 associate-*r/_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64
frac-times_binary64
cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 prod-exp_binary64 pow-sqr_binary64 *-commutative_binary64
distribute-lft-out_binary64 associate-+l+_binary64 associate-*l/_binary64
rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 +-commutative_binary64 pow2_binary64 sum-log_binary64
Counts
4 → 116
Calls

4 calls:

19.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))) (sqrt.f64 (+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))))
7.0ms
(+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))
7.0ms
(*.f64 x (+.f64 x 2))
6.0ms
(*.f64 x (+.f64 x 2))

series23.0ms (1.4%)

Counts
4 → 12
Calls

4 calls:

7.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))) (sqrt.f64 (+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))))
7.0ms
(+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))
5.0ms
(*.f64 x (+.f64 x 2))
5.0ms
(*.f64 x (+.f64 x 2))

simplify117.0ms (6.9%)

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
049301987
149301987

prune94.0ms (5.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh011
Picked011
Done022
Total1284132

Merged error: 0b

Counts
132 → 4
Compiler

Compiled 3014 to 1703 computations (43.5% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))
0.0b
(*.f64 x (+.f64 x 2))
0.2b
(pow.f64 (+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)) 3)
39.5b
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)) 3))

rewrite32.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
12×add-cube-cbrt_binary64 cbrt-prod_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 unpow-prod-down_binary64 cube-prod_binary64
flip3-+_binary64 associate-*r*_binary64 cube-div_binary64 flip-+_binary64
pow-unpow_binary64 associate-*l*_binary64
cbrt-div_binary64 associate-*r/_binary64 associate-+l+_binary64 sqr-pow_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unpow3_binary64 cube-mult_binary64
pow-to-exp_binary64 pow-prod-down_binary64 rem-cbrt-cube_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 pow1/3_binary64 pow-pow_binary64 unswap-sqr_binary64 rem-cube-cbrt_binary64 prod-exp_binary64 +-commutative_binary64 pow-exp_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 84
Calls

4 calls:

9.0ms
(pow.f64 (+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)) 3)
8.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)) 3))
7.0ms
(+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))
6.0ms
(*.f64 x (+.f64 x 2))

series42.0ms (2.5%)

Counts
4 → 12
Calls

4 calls:

22.0ms
(pow.f64 (+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)) 3)
9.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)) 3))
6.0ms
(+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))
5.0ms
(*.f64 x (+.f64 x 2))

simplify47.0ms (2.8%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
056131683

prune62.0ms (3.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done033
Total964100

Merged error: 0b

Counts
100 → 4
Compiler

Compiled 1700 to 1026 computations (39.6% saved)

regimes125.0ms (7.4%)

Compiler

Compiled 311 to 237 computations (23.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01113
11113

end0.0ms (0%)

sample649.0ms (38.3%)

Algorithm
intervals
Results
231.0ms8000×body80valid
0.0msbody80invalid
Compiler

Compiled 85 to 65 computations (23.5% saved)

Profiling

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