Details

Time bar (total: 1.9s)

analyze2.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample139.0ms (7.2%)

Algorithm
intervals
Results
17.0ms66×body1024valid
6.0ms144×body128valid
4.0ms31×body512valid
2.0msbody2048valid
1.0msbody256valid
Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify65.0ms (3.4%)

Algorithm
egg-herbie
Rules
978×times-frac_binary64
434×unswap-sqr_binary64
378×associate-*l/_binary64
368×fma-neg_binary64
358×fma-def_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11915
22515
33415
45915
511315
623515
760015
8150415
9255715
10458215
11495615
12470115

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
27.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
27.1b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 36 to 33 computations (8.3% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
1.3b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

series20.0ms (1%)

Counts
3 → 20
Calls

3 calls:

9.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
8.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))

rewrite31.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
102×*-un-lft-identity_binary64
75×add-sqr-sqrt_binary64
64×add-cube-cbrt_binary64
63×times-frac_binary64
54×prod-diff_binary64
Counts
3 → 149
Calls

3 calls:

10.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
4.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify127.0ms (6.6%)

Algorithm
egg-herbie
Rules
745×fma-neg_binary64
409×cancel-sign-sub-inv_binary64
312×distribute-rgt-in_binary64
288×fma-def_binary64
267×distribute-lft-in_binary64
Counts
169 → 220
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01513241
13393128
28092722
322972604
447422603
549492603

prune149.0ms (7.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2191220
Fresh000
Picked011
Done000
Total2192221
Error
0b
Counts
221 → 2
Alt Table
StatusErrorProgram
34.7b
(fma.f64 (pow.f64 x 3) -1/3 x)
27.1b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 5002 to 4556 computations (8.9% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (pow.f64 x 3) -1/3 x)

series3.0ms (0.2%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(fma.f64 (pow.f64 x 3) -1/3 x)

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 (pow.f64 x 3) -1/3 x)

simplify59.0ms (3.1%)

Algorithm
egg-herbie
Rules
435×neg-mul-1_binary64
394×associate-*l*_binary64
372×associate-*r*_binary64
317×distribute-rgt-out_binary64
261×exp-prod_binary64
Counts
22 → 16
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020232
135197
287197
3323197
41660197
54537197
65209197

prune7.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New16016
Fresh000
Picked011
Done011
Total16218
Error
0b
Counts
18 → 2
Alt Table
StatusErrorProgram
34.7b
(fma.f64 (pow.f64 x 3) -1/3 x)
27.1b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 169 to 127 computations (24.9% saved)

regimes100.0ms (5.2%)

Accuracy

Total 0.2b remaining (90.7%)

Threshold costs 0.2b (90.7%)

Counts
6 → 3
Compiler

Compiled 465 to 395 computations (15.1% saved)

bsearch0.0ms (0%)

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
1-exp_binary64
if-if-or-not_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02143
13143
23243
33043

end1.0ms (0%)

Compiler

Compiled 31 to 26 computations (16.1% saved)

sample1.2s (62.6%)

Algorithm
intervals
Results
491.0ms2000×body1024valid
194.0ms4339×body128valid
140.0ms984×body512valid
60.0ms204×body2048valid
45.0ms473×body256valid
Compiler

Compiled 66 to 57 computations (13.6% saved)

Profiling

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