Details

Time bar (total: 1.3s)

analyze64.0ms (5%)

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
50%50%0.1%6
56.2%37.5%6.3%7
68.7%25%6.3%8
71.8%18.7%9.5%9
78%12.5%9.5%10
79.6%9.4%11%11
82.7%6.2%11%12
83.6%4.6%11.8%13
85.1%3.1%11.8%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample18.0ms (1.4%)

Algorithm
intervals
Results
12.0ms255×body128valid
0.0msbody1024valid
0.0msbody128invalid
Compiler

Compiled 23 to 23 computations (0% saved)

simplify36.0ms (2.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
054613
154613

prune5.0ms (0.4%)

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 49 to 44 computations (10.2% saved)

localize6.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 y (+.f64 x -1/2))

rewrite9.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
associate-*r*_binary64
pow1_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-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 flip-+_binary64 *-commutative_binary64
Counts
1 → 23
Calls

1 calls:

7.0ms
(*.f64 y (+.f64 x -1/2))

series46.0ms (3.6%)

Counts
1 → 3
Calls

1 calls:

46.0ms
(*.f64 y (+.f64 x -1/2))

simplify51.0ms (4%)

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05021233

prune26.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New25126
Fresh011
Picked011
Done000
Total25328

Merged error: 0b

Counts
28 → 3
Compiler

Compiled 394 to 285 computations (27.7% saved)

localize7.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
0.0b
(*.f64 x (-.f64 y 1))

rewrite22.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
13×cancel-sign-sub-inv_binary64
11×*-un-lft-identity_binary64
add-cube-cbrt_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 associate--l+_binary64
associate-*r*_binary64
sub-neg_binary64
add-log-exp_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l*_binary64
flip3--_binary64 associate-*r/_binary64 difference-of-squares_binary64 flip--_binary64
pow-prod-down_binary64 diff-log_binary64 cbrt-unprod_binary64 difference-of-sqr-1_binary64 unswap-sqr_binary64 prod-exp_binary64 distribute-lft-out--_binary64 *-commutative_binary64
Counts
2 → 52
Calls

2 calls:

9.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
9.0ms
(*.f64 x (-.f64 y 1))

series80.0ms (6.3%)

Counts
2 → 6
Calls

2 calls:

41.0ms
(*.f64 x (-.f64 y 1))
39.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))

simplify69.0ms (5.4%)

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05578584

prune44.0ms (3.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh011
Picked011
Done011
Total58361

Merged error: 0b

Counts
61 → 3
Compiler

Compiled 840 to 568 computations (32.4% saved)

localize9.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 y (+.f64 x -1/2))
0.1b
(pow.f64 (*.f64 y (+.f64 x -1/2)) 3)
38.5b
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))

rewrite24.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 cbrt-prod_binary64
add-cube-cbrt_binary64
associate-*r/_binary64
associate-*r*_binary64 cube-div_binary64
flip3-+_binary64 pow-unpow_binary64 add-log-exp_binary64 associate-*l*_binary64 flip-+_binary64
cbrt-div_binary64 pow-prod-down_binary64 cbrt-unprod_binary64 pow-pow_binary64 sqr-pow_binary64 rem-cube-cbrt_binary64 unpow-prod-down_binary64 prod-exp_binary64 cube-prod_binary64 pow-exp_binary64 unpow3_binary64 cube-mult_binary64
pow-to-exp_binary64 rem-cbrt-cube_binary64 distribute-lft-out_binary64 pow1/3_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
3 → 66
Calls

3 calls:

9.0ms
(pow.f64 (*.f64 y (+.f64 x -1/2)) 3)
7.0ms
(*.f64 y (+.f64 x -1/2))
3.0ms
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))

series141.0ms (11%)

Counts
3 → 9
Calls

3 calls:

57.0ms
(pow.f64 (*.f64 y (+.f64 x -1/2)) 3)
43.0ms
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
40.0ms
(*.f64 y (+.f64 x -1/2))

simplify45.0ms (3.5%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04950815
14950815

prune75.0ms (5.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New75075
Fresh000
Picked011
Done022
Total75378

Merged error: 0b

Counts
78 → 3
Compiler

Compiled 1184 to 884 computations (25.3% saved)

regimes43.0ms (3.4%)

Compiler

Compiled 172 to 160 computations (7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02213
12213

end0.0ms (0%)

sample454.0ms (35.5%)

Algorithm
intervals
Results
239.0ms7995×body128valid
2.0ms70×body128invalid
0.0msbody1024valid
0.0msbody512valid
0.0msbody256valid
Compiler

Compiled 53 to 50 computations (5.7% saved)

Profiling

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