Details

Time bar (total: 1.4s)

analyze2.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
75%25%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample9.0ms (0.6%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify7.0ms (0.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
074
174

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 14 to 14 computations (0% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 x 1/3)

rewrite4.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-log-exp_binary64
flip3-+_binary64 pow1_binary64 distribute-lft-out_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
1 → 12
Calls

1 calls:

3.0ms
(+.f64 x 1/3)

series22.0ms (1.6%)

Counts
1 → 3
Calls

1 calls:

22.0ms
(+.f64 x 1/3)

simplify86.0ms (6.2%)

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04939101
14939101

prune25.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0b

Counts
16 → 3
Compiler

Compiled 200 to 165 computations (17.5% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x x) 1/9)
0.0b
(-.f64 x 1/3)
15.7b
(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))

rewrite26.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt_binary64
28×*-un-lft-identity_binary64
20×times-frac_binary64
16×add-cube-cbrt_binary64
13×difference-of-squares_binary64
add-log-exp_binary64
cancel-sign-sub-inv_binary64 distribute-lft-out--_binary64
associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
flip3--_binary64 associate-/l*_binary64 flip--_binary64
pow1_binary64
associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 associate-/r/_binary64
cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
3 → 77
Calls

3 calls:

11.0ms
(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))
5.0ms
(-.f64 (*.f64 x x) 1/9)
4.0ms
(-.f64 x 1/3)

series185.0ms (13.4%)

Counts
3 → 9
Calls

3 calls:

105.0ms
(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))
53.0ms
(-.f64 (*.f64 x x) 1/9)
26.0ms
(-.f64 x 1/3)

simplify83.0ms (6.1%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
061841239

prune68.0ms (5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh011
Picked011
Done011
Total86389

Merged error: 0b

Counts
89 → 3
Compiler

Compiled 1248 to 796 computations (36.2% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (pow.f64 x 3) 1/27)
0.0b
(-.f64 x 1/3)
0.2b
(*.f64 x (-.f64 x 1/3))
21.5b
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))

rewrite44.0ms (3.2%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64
24×add-sqr-sqrt_binary64
18×add-cube-cbrt_binary64
12×times-frac_binary64
cancel-sign-sub-inv_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
distribute-lft-out_binary64 associate-*r*_binary64
distribute-lft-in_binary64 distribute-rgt-in_binary64 associate-/l*_binary64
flip3-+_binary64 associate-/r*_binary64 sub-neg_binary64 associate-*l*_binary64 flip-+_binary64
associate-/l/_binary64 flip3--_binary64 associate-*r/_binary64 associate-/r/_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64
pow-prod-down_binary64 diff-log_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 93
Calls

4 calls:

16.0ms
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
9.0ms
(*.f64 x (-.f64 x 1/3))
8.0ms
(+.f64 (pow.f64 x 3) 1/27)
4.0ms
(-.f64 x 1/3)

series311.0ms (22.6%)

Counts
4 → 12
Calls

4 calls:

151.0ms
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
83.0ms
(+.f64 (pow.f64 x 3) 1/27)
53.0ms
(*.f64 x (-.f64 x 1/3))
24.0ms
(-.f64 x 1/3)

simplify53.0ms (3.9%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
053631597

prune115.0ms (8.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh000
Picked011
Done022
Total1053108

Merged error: 0b

Counts
108 → 3
Compiler

Compiled 1962 to 1528 computations (22.1% saved)

regimes9.0ms (0.7%)

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
054
154

end1.0ms (0.1%)

sample302.0ms (22%)

Algorithm
intervals
Results
143.0ms8000×body128valid
Compiler

Compiled 34 to 31 computations (8.8% saved)

Profiling

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