Details

Time bar (total: 2.1s)

analyze463.0ms (21.8%)

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
25%62.4%12.6%6
25%50%25.1%7
31.2%37.5%31.3%8
39%24.2%36.8%9
42.9%18.3%38.7%10
47.2%11.9%40.9%11
49.4%9.1%41.6%12
51.6%5.9%42.5%13
52.7%4.5%42.8%14
Compiler

Compiled 10 to 6 computations (40% saved)

sample203.0ms (9.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify108.0ms (5.1%)

Algorithm
egg-herbie
Rules
2423×fma-neg_binary64
945×fma-def_binary64
931×distribute-rgt-in_binary64
213×unsub-neg_binary64
200×sub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
11010
22910
37010
415110
535610
665510
789110
8189010
9182610
10199210
11203410
12207210
13207210
14207210
15207410
16514210

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(*.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 27 to 15 computations (44.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

8.0ms
(*.f64 (+.f64 x y) (-.f64 x y))

rewrite13.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity_binary64
21×add-sqr-sqrt_binary64
18×prod-diff_binary64
17×add-cube-cbrt_binary64
13×distribute-lft-in_binary64
Counts
1 → 57
Calls

1 calls:

8.0ms
(*.f64 (+.f64 x y) (-.f64 x y))

simplify71.0ms (3.3%)

Algorithm
egg-herbie
Rules
835×distribute-rgt-in_binary64
791×distribute-lft-in_binary64
673×fma-def_binary64
212×exp-prod_binary64
145×associate-*l*_binary64
Counts
81 → 84
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01341280
12901202
211281112
347961112
449371112

prune38.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New83184
Fresh000
Picked011
Done000
Total83285
Error
0b
Counts
85 → 2
Alt Table
StatusErrorProgram
0.6b
(+.f64 (*.f64 (fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (*.f64 y 1))) (+.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) 1 (*.f64 y 1)) (+.f64 x y)))
0.0b
(*.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 1678 to 410 computations (75.6% saved)

localize17.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (*.f64 y 1))) (+.f64 x y))
0.1b
(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (*.f64 y 1)))
0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)

series428.0ms (20.1%)

Counts
4 → 72
Calls

4 calls:

163.0ms
(*.f64 (fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (*.f64 y 1))) (+.f64 x y))
158.0ms
(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (*.f64 y 1)))
68.0ms
(cbrt.f64 x)
39.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))

rewrite16.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt_binary64
19×cbrt-prod_binary64
17×*-un-lft-identity_binary64
15×add-cube-cbrt_binary64
13×pow1_binary64
Counts
4 → 90
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
4.0ms
(*.f64 (fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (*.f64 y 1))) (+.f64 x y))
1.0ms
(cbrt.f64 x)
0.0ms
(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (*.f64 y 1)))

simplify86.0ms (4.1%)

Algorithm
egg-herbie
Rules
526×distribute-rgt-in_binary64
523×distribute-lft-in_binary64
293×distribute-rgt-neg-out_binary64
290×distribute-lft-neg-out_binary64
287×fma-neg_binary64
Counts
162 → 149
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01181431
12451284
29161234
329231219
446641219
549131219

prune110.0ms (5.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1850185
Fresh000
Picked011
Done011
Total1852187
Error
0b
Counts
187 → 2
Alt Table
StatusErrorProgram
0.6b
(+.f64 (*.f64 (fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (*.f64 y 1))) (+.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) 1 (*.f64 y 1)) (+.f64 x y)))
0.0b
(*.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 5862 to 2463 computations (58% saved)

regimes44.0ms (2.1%)

Accuracy

Total 0.0b remaining (23.1%)

Threshold costs 0.0b (23.1%)

Counts
13 → 1
Compiler

Compiled 777 to 426 computations (45.2% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
11010
21510
31710
41810
51810

end0.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

sample509.0ms (24%)

Algorithm
intervals
Results
220.0ms8000×body128valid
4.0ms159×body128invalid
Compiler

Compiled 60 to 35 computations (41.7% saved)

Profiling

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