Details

Time bar (total: 2.1s)

analyze98.0ms (4.6%)

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 (0.7%)

Algorithm
intervals
Results
8.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify165.0ms (7.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03816
13816

prune5.0ms (0.2%)

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)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_19038
sum-log_binary64_19090
add-exp-log_binary64_19037 pow1_binary64_19060 flip-+_binary64_18973 add-sqr-sqrt_binary64_19021 add-cube-cbrt_binary64_19034 +-commutative_binary64_18929 *-un-lft-identity_binary64_18999 flip3-+_binary64_19002 add-cbrt-cube_binary64_19035
associate-+l+_binary64_18932
Counts
2 → 24
Calls

2 calls:

8.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) y)) (*.f64 y y))
5.0ms
(+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) y))

series97.0ms (4.6%)

Counts
2 → 6
Calls

2 calls:

55.0ms
(+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) y))
42.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) y)) (*.f64 y y))

simplify64.0ms (3%)

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04983549
14983549

prune47.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New28230
Fresh011
Picked101
Done000
Total29332

Merged error: 0b

Counts
32 → 3
Compiler

Compiled 923 to 545 computations (41% saved)

localize10.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_19021
add-exp-log_binary64_19037 add-log-exp_binary64_19038 pow1_binary64_19060 add-cube-cbrt_binary64_19034 *-un-lft-identity_binary64_18999 add-cbrt-cube_binary64_19035
associate-*l*_binary64_18940 associate-*r*_binary64_18939
distribute-lft-in_binary64_18948 flip-+_binary64_18973 associate-*r/_binary64_18941 flip3-+_binary64_19002 distribute-rgt-in_binary64_18949 associate-+r+_binary64_18931
prod-exp_binary64_19048 *-commutative_binary64_18930 sum-log_binary64_19090 unswap-sqr_binary64_18967 +-commutative_binary64_18929 pow-prod-down_binary64_19070 cbrt-unprod_binary64_19032
Counts
2 → 35
Calls

2 calls:

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

series90.0ms (4.2%)

Counts
2 → 6
Calls

2 calls:

50.0ms
(*.f64 y (+.f64 (*.f64 x 2) y))
40.0ms
(+.f64 (*.f64 x x) (*.f64 y (+.f64 (*.f64 x 2) y)))

simplify92.0ms (4.3%)

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04944646
14944646

prune34.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New41041
Fresh022
Picked011
Done000
Total41344

Merged error: 0b

Counts
44 → 3
Compiler

Compiled 723 to 396 computations (45.2% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_19021
add-exp-log_binary64_19037 add-log-exp_binary64_19038 pow1_binary64_19060 add-cube-cbrt_binary64_19034 *-un-lft-identity_binary64_18999 add-cbrt-cube_binary64_19035
associate-*l*_binary64_18940 associate-*r*_binary64_18939
distribute-lft-in_binary64_18948 associate-+l+_binary64_18932 flip-+_binary64_18973 associate-*r/_binary64_18941 flip3-+_binary64_19002 distribute-rgt-in_binary64_18949
prod-exp_binary64_19048 *-commutative_binary64_18930 sum-log_binary64_19090 unswap-sqr_binary64_18967 +-commutative_binary64_18929 pow-prod-down_binary64_19070 cbrt-unprod_binary64_19032
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)))

series85.0ms (4%)

Counts
2 → 6
Calls

2 calls:

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

simplify61.0ms (2.9%)

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05098646

prune37.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New40141
Fresh101
Picked011
Done011
Total41344

Merged error: 0b

Counts
44 → 3
Compiler

Compiled 776 to 434 computations (44.1% saved)

localize15.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (/.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x y) (*.f64 y -4))) (-.f64 x (*.f64 2 y))) (*.f64 y y))
0.2b
(*.f64 (*.f64 x y) (*.f64 y -4))
1.4b
(+.f64 (pow.f64 x 3) (*.f64 (*.f64 x y) (*.f64 y -4)))
11.5b
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x y) (*.f64 y -4))) (-.f64 x (*.f64 2 y)))

rewrite60.0ms (2.8%)

Algorithm
rewrite-expression-head
Rules
18×add-exp-log_binary64_19037 add-cbrt-cube_binary64_19035
16×pow1_binary64_19060
12×add-sqr-sqrt_binary64_19021 add-cube-cbrt_binary64_19034 *-un-lft-identity_binary64_18999
times-frac_binary64_19005
add-log-exp_binary64_19038 prod-exp_binary64_19048 pow-prod-down_binary64_19070 cbrt-unprod_binary64_19032
associate-/l*_binary64_18944 associate-/r*_binary64_18943 flip-+_binary64_18973 flip3-+_binary64_19002
associate-/r/_binary64_18945 sum-log_binary64_19090 +-commutative_binary64_18929 associate-/l/_binary64_18946
frac-2neg_binary64_19010 cbrt-undiv_binary64_19033 div-inv_binary64_18996 clear-num_binary64_18998 div-exp_binary64_19050 *-commutative_binary64_18930 flip3--_binary64_19003 associate-*l*_binary64_18940 flip--_binary64_18974 associate-*r*_binary64_18939
Counts
4 → 75
Calls

4 calls:

18.0ms
(+.f64 (/.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x y) (*.f64 y -4))) (-.f64 x (*.f64 2 y))) (*.f64 y y))
17.0ms
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x y) (*.f64 y -4))) (-.f64 x (*.f64 2 y)))
10.0ms
(+.f64 (pow.f64 x 3) (*.f64 (*.f64 x y) (*.f64 y -4)))
7.0ms
(*.f64 (*.f64 x y) (*.f64 y -4))

series340.0ms (16.1%)

Counts
4 → 12
Calls

4 calls:

133.0ms
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x y) (*.f64 y -4))) (-.f64 x (*.f64 2 y)))
90.0ms
(+.f64 (/.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x y) (*.f64 y -4))) (-.f64 x (*.f64 2 y))) (*.f64 y y))
69.0ms
(+.f64 (pow.f64 x 3) (*.f64 (*.f64 x y) (*.f64 y -4)))
47.0ms
(*.f64 (*.f64 x y) (*.f64 y -4))

simplify89.0ms (4.2%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049522290
149522290

prune110.0ms (5.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New87087
Fresh000
Picked011
Done022
Total87390

Merged error: 0b

Counts
90 → 3
Compiler

Compiled 2526 to 1449 computations (42.6% saved)

regimes19.0ms (0.9%)

Compiler

Compiled 90 to 70 computations (22.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01316
11316

end0.0ms (0%)

sample520.0ms (24.6%)

Algorithm
intervals
Results
275.0ms8000×body128valid
6.0ms191×body128invalid
Compiler

Compiled 81 to 60 computations (25.9% saved)

Profiling

Loading profile data...