Details

Time bar (total: 1.2s)

analyze164.0ms (13.7%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05620
15620
022
122
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)

sample13.0ms (1.1%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
0.0ms3×body128invalid
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify11.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03910
13910

prune3.0ms (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 23 to 19 computations (17.4% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
9×add-exp-log_binary64_17848 pow1_binary64_17871 add-cbrt-cube_binary64_17846
7×add-sqr-sqrt_binary64_17832 *-un-lft-identity_binary64_17810
6×associate-*r/_binary64_17752 associate-*l*_binary64_17751
5×distribute-rgt-in_binary64_17760 associate-*r*_binary64_17750 add-cube-cbrt_binary64_17845 distribute-lft-in_binary64_17759
4×cbrt-unprod_binary64_17843 pow-prod-down_binary64_17881 prod-exp_binary64_17859
2×*-commutative_binary64_17741 flip-+_binary64_17784 flip3-+_binary64_17813 add-log-exp_binary64_17849
1×unswap-sqr_binary64_17778 distribute-lft-out_binary64_17761
Counts
2 → 47
Calls

2 calls:

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

series47.0ms (3.9%)

Counts
2 → 6
Calls

2 calls:

26.0ms
(*.f64 2 (*.f64 x (+.f64 x y)))
21.0ms
(*.f64 x (+.f64 x y))

simplify100.0ms (8.4%)

Algorithm
1×egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
04967564
14967564

prune37.0ms (3.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New52153
Fresh011
Picked101
Done000
Total53255

Merged error: 0.0b

Counts
55 → 2
Compiler

Compiled 603 to 248 computations (58.9% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
12×associate-*l*_binary64_17751
11×*-un-lft-identity_binary64_17810
9×add-sqr-sqrt_binary64_17832
7×add-cube-cbrt_binary64_17845
6×flip-+_binary64_17784 flip3-+_binary64_17813
4×associate-*r*_binary64_17750 distribute-lft-out_binary64_17761 frac-times_binary64_17820
3×add-exp-log_binary64_17848 pow1_binary64_17871 distribute-rgt-out_binary64_17763 add-cbrt-cube_binary64_17846
2×associate-*l/_binary64_17753 associate-*r/_binary64_17752
1×cbrt-unprod_binary64_17843 unswap-sqr_binary64_17778 pow-prod-down_binary64_17881 prod-exp_binary64_17859 distribute-rgt-in_binary64_17760 *-commutative_binary64_17741 add-log-exp_binary64_17849 distribute-lft-in_binary64_17759 distribute-rgt1-in_binary64_17766 distribute-lft1-in_binary64_17765 count-2_binary64_17758
Counts
1 → 38
Calls

1 calls:

10.0ms
(*.f64 (+.f64 x x) (+.f64 x y))

series27.0ms (2.3%)

Counts
1 → 3
Calls

1 calls:

27.0ms
(*.f64 (+.f64 x x) (+.f64 x y))

simplify62.0ms (5.2%)

Algorithm
1×egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05002502

prune24.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New41041
Fresh011
Picked011
Done000
Total41243

Merged error: 0.0b

Counts
43 → 2
Compiler

Compiled 489 to 150 computations (69.3% saved)

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64_17832
4×*-un-lft-identity_binary64_17810 associate-*r*_binary64_17750 add-cube-cbrt_binary64_17845 add-exp-log_binary64_17848 add-log-exp_binary64_17849 pow1_binary64_17871 add-cbrt-cube_binary64_17846
3×associate-*l*_binary64_17751
2×flip-+_binary64_17784 flip3-+_binary64_17813 associate-*r/_binary64_17752 distribute-lft-out_binary64_17761
1×cbrt-unprod_binary64_17843 unswap-sqr_binary64_17778 pow-prod-down_binary64_17881 prod-exp_binary64_17859 sum-log_binary64_17901 distribute-rgt-in_binary64_17760 *-commutative_binary64_17741 +-commutative_binary64_17740 distribute-lft-in_binary64_17759
Counts
2 → 35
Calls

2 calls:

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

series55.0ms (4.6%)

Counts
2 → 6
Calls

2 calls:

31.0ms
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y)))
24.0ms
(+.f64 (*.f64 x x) (*.f64 x y))

simplify73.0ms (6.1%)

Algorithm
1×egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04981493
14981493

prune26.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New41041
Fresh000
Picked011
Done011
Total41243

Merged error: 0.0b

Counts
43 → 2
Compiler

Compiled 516 to 215 computations (58.3% saved)

regimes40.0ms (3.3%)

Compiler

Compiled 172 to 144 computations (16.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
1810

end0.0ms (0%)

sample454.0ms (38%)

Algorithm
1×intervals
Results
218.0ms8000×body128valid
4.0ms151×body128invalid
Compiler

Compiled 58 to 49 computations (15.5% saved)

Profiling

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