Details

Time bar (total: 1.4s)

analyze71.0ms (5.1%)

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
0%99.9%0.1%4
25%74.9%0.1%5
37.5%50%12.6%6
43.7%40.6%15.7%7
56.2%23.4%20.4%8
57.8%21.1%21.2%9
64%12.5%23.5%10
64.8%10.7%24.5%11
67.9%6.4%25.7%12
68.3%5.4%26.3%13
69.9%3.3%26.9%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample14.0ms (1%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify9.0ms (0.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03910
13910

prune4.0ms (0.3%)

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 30 to 25 computations (16.7% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite18.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
associate-*r/_binary64 associate-*l*_binary64
associate-*r*_binary64 add-cube-cbrt_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
flip3-+_binary64 add-log-exp_binary64 flip-+_binary64 *-commutative_binary64
distribute-lft-out_binary64 unswap-sqr_binary64
Counts
2 → 47
Calls

2 calls:

8.0ms
(*.f64 2 (*.f64 x (+.f64 x y)))
7.0ms
(*.f64 x (+.f64 x y))

series97.0ms (7.1%)

Counts
2 → 6
Calls

2 calls:

54.0ms
(*.f64 2 (*.f64 x (+.f64 x y)))
44.0ms
(*.f64 x (+.f64 x y))

simplify74.0ms (5.4%)

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05533564

prune50.0ms (3.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New51253
Fresh000
Picked101
Done000
Total52254

Merged error: 0b

Counts
54 → 2
Compiler

Compiled 798 to 400 computations (49.9% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite14.0ms (1%)

Algorithm
rewrite-expression-head
Rules
12×associate-*l*_binary64
11×*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
flip3-+_binary64 flip-+_binary64
distribute-lft-out_binary64 associate-*r*_binary64 frac-times_binary64
pow1_binary64 distribute-rgt-out_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*r/_binary64 associate-*l/_binary64
pow-prod-down_binary64 count-2_binary64 distribute-lft1-in_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt1-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
1 → 38
Calls

1 calls:

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

series54.0ms (4%)

Counts
1 → 3
Calls

1 calls:

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

simplify59.0ms (4.3%)

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04856502
14856502

prune26.0ms (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 495 to 153 computations (69.1% saved)

localize10.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 2 (*.f64 x (-.f64 (*.f64 x x) (*.f64 y y))))
5.8b
(*.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))
17.5b
(/.f64 (*.f64 2 (*.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 x y))

rewrite39.0ms (2.8%)

Algorithm
rewrite-expression-head
Rules
19×add-exp-log_binary64 add-cbrt-cube_binary64
14×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64
10×pow1_binary64 associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
add-cube-cbrt_binary64
cbrt-unprod_binary64 prod-exp_binary64
sub-neg_binary64 associate-*l*_binary64 cancel-sign-sub-inv_binary64
associate-/r*_binary64 associate-*r*_binary64 times-frac_binary64
pow-prod-down_binary64 flip3--_binary64 flip--_binary64
add-log-exp_binary64 cbrt-undiv_binary64 difference-of-squares_binary64 div-exp_binary64
associate-/l/_binary64 associate-/r/_binary64 distribute-lft-out--_binary64 *-commutative_binary64
unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64
Counts
3 → 84
Calls

3 calls:

14.0ms
(/.f64 (*.f64 2 (*.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 x y))
10.0ms
(*.f64 2 (*.f64 x (-.f64 (*.f64 x x) (*.f64 y y))))
8.0ms
(*.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))

series255.0ms (18.5%)

Counts
3 → 9
Calls

3 calls:

123.0ms
(/.f64 (*.f64 2 (*.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 x y))
73.0ms
(*.f64 2 (*.f64 x (-.f64 (*.f64 x x) (*.f64 y y))))
58.0ms
(*.f64 x (-.f64 (*.f64 x x) (*.f64 y y)))

simplify39.0ms (2.9%)

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
056221715

prune67.0ms (4.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh000
Picked011
Done011
Total93295

Merged error: 0b

Counts
95 → 2
Compiler

Compiled 1823 to 557 computations (69.4% saved)

regimes20.0ms (1.5%)

Compiler

Compiled 48 to 38 computations (20.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
1810

end0.0ms (0%)

sample442.0ms (32.2%)

Algorithm
intervals
Results
229.0ms8000×body128valid
4.0ms143×body128invalid
Compiler

Compiled 46 to 36 computations (21.7% saved)

Profiling

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