Details

Time bar (total: 4.4s)

analyze1.0ms (0%)

Algorithm
search
Search
TrueOtherFalseIter
0%25.7%74.3%0
25.7%0%74.3%1
Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.5s (34.3%)

Results
967.0ms6817×body128valid
257.0ms565×body1024valid
202.0ms549×body512valid
70.0ms312×body256valid
7.0ms13×body2048valid
Compiler

Compiled 52 to 38 computations (26.9% saved)

preprocess28.0ms (0.6%)

Algorithm
egg-herbie
Rules
718×fma-def_binary64
450×distribute-rgt-in_binary64
422×distribute-lft-in_binary64
275×associate-*l*_binary64
248×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
12926
26226
313626
439526
5160726
022
Stop Event
saturated
node limit
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify23.0ms (0.5%)

Algorithm
egg-herbie
Rules
436×unswap-sqr_binary64
376×fma-def_binary64
252×distribute-rgt-neg-in_binary64
235×distribute-rgt-in_binary64
219×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11813
23813
38013
422813
591213
6292713
Stop Event
node limit
Counts
1 → 1

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
6.7b
Counts
2 → 1
Alt Table
StatusErrorProgram
6.7b
(-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))
Compiler

Compiled 33 to 24 computations (27.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (+.f64 x eps) 5)
1.1b
(-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))

series28.0ms (0.6%)

Counts
2 → 48
Calls

12 calls:

6.0ms
(-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))
x
-inf
3.0ms
(-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))
x
0
3.0ms
(-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))
eps
0
3.0ms
(-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))
x
inf
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))
eps
-inf

rewrite54.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
907×prod-diff_binary64
171×expm1-udef_binary64
171×log1p-udef_binary64
97×add-sqr-sqrt_binary64
97×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
119020
2264720
Stop Event
node limit
Counts
2 → 87

simplify70.0ms (1.6%)

Algorithm
egg-herbie
Rules
849×distribute-lft-out_binary64
481×*-commutative_binary64
377×distribute-rgt-out_binary64
345×associate-+l+_binary64
323×fma-def_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0391152
11251083
23601062
31317993
42443972
53481972
64326960
74967960
Stop Event
node limit
Counts
135 → 109

prune135.0ms (3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1045109
Fresh000
Picked011
Done000
Total1046110
Error
0.0b
Counts
110 → 6
Alt Table
StatusErrorProgram
6.7b
(-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))
11.9b
(*.f64 eps (+.f64 (*.f64 (*.f64 5 x) (+.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 (*.f64 eps 10) (*.f64 x (*.f64 x (+.f64 eps x))))))
11.9b
(+.f64 (*.f64 5 (*.f64 eps (pow.f64 x 4))) (+.f64 (*.f64 10 (*.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (*.f64 5 (*.f64 (pow.f64 eps 4) x)) (*.f64 10 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
11.9b
(*.f64 eps (+.f64 (*.f64 5 (pow.f64 x 4)) (*.f64 10 (*.f64 eps (*.f64 x (*.f64 x (+.f64 eps x)))))))
56.9b
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) 15) (pow.f64 x 15)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x eps) 10) (+.f64 (pow.f64 x 10) (pow.f64 (*.f64 (+.f64 x eps) x) 5)))))
6.9b
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))) 2))
Compiler

Compiled 2617 to 1696 computations (35.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))) 2))
0.2b
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))) 2)
1.1b
(-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))
19.1b
(cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5)))

series100.0ms (2.3%)

Counts
3 → 32
Calls

18 calls:

10.0ms
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))) 2)
x
-inf
9.0ms
(cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5)))
eps
-inf
8.0ms
(cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5)))
x
0
8.0ms
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))) 2)
x
0
7.0ms
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))) 2)
x
inf

rewrite59.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
907×prod-diff_binary64
122×add-sqr-sqrt_binary64
122×log1p-expm1-u_binary64
122×expm1-log1p-u_binary64
119×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
127146
2325446
Stop Event
node limit
Counts
3 → 110

simplify34.0ms (0.8%)

Algorithm
egg-herbie
Rules
721×fma-def_binary64
671×associate-*l*_binary64
664×associate-*r*_binary64
300×associate-+l+_binary64
196×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01181075
13701043
212781014
Stop Event
node limit
Counts
142 → 141

prune482.0ms (10.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3451346
Fresh044
Picked011
Done011
Total3457352
Error
0.0b
Counts
352 → 7
Alt Table
StatusErrorProgram
11.9b
(*.f64 eps (+.f64 (*.f64 (*.f64 5 x) (+.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 (*.f64 eps 10) (*.f64 x (*.f64 x (+.f64 eps x))))))
7.1b
(*.f64 (cbrt.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) 5) (pow.f64 (cbrt.f64 (+.f64 x eps)) 5) (neg.f64 (pow.f64 x 5))) (fma.f64 -1 (pow.f64 x 5) (pow.f64 x 5)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))) 2))
6.7b
(-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))
11.9b
(+.f64 (*.f64 5 (*.f64 eps (pow.f64 x 4))) (+.f64 (*.f64 10 (*.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (*.f64 5 (*.f64 (pow.f64 eps 4) x)) (*.f64 10 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
11.9b
(*.f64 eps (+.f64 (*.f64 5 (pow.f64 x 4)) (*.f64 10 (*.f64 eps (*.f64 x (*.f64 x (+.f64 eps x)))))))
56.9b
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) 15) (pow.f64 x 15)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x eps) 10) (+.f64 (pow.f64 x 10) (pow.f64 (*.f64 (+.f64 x eps) x) 5)))))
6.9b
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))) 2))
Compiler

Compiled 11797 to 7965 computations (32.5% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.1b
(-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))
10.1b
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) 5) (pow.f64 (cbrt.f64 (+.f64 x eps)) 5) (neg.f64 (pow.f64 x 5)))
19.1b
(cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5)))
29.4b
(cbrt.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) 5) (pow.f64 (cbrt.f64 (+.f64 x eps)) 5) (neg.f64 (pow.f64 x 5))) (fma.f64 -1 (pow.f64 x 5) (pow.f64 x 5))))

series274.0ms (6.2%)

Counts
2 → 32
Calls

12 calls:

75.0ms
(cbrt.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) 5) (pow.f64 (cbrt.f64 (+.f64 x eps)) 5) (neg.f64 (pow.f64 x 5))) (fma.f64 -1 (pow.f64 x 5) (pow.f64 x 5))))
eps
-inf
68.0ms
(cbrt.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) 5) (pow.f64 (cbrt.f64 (+.f64 x eps)) 5) (neg.f64 (pow.f64 x 5))) (fma.f64 -1 (pow.f64 x 5) (pow.f64 x 5))))
eps
inf
66.0ms
(cbrt.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) 5) (pow.f64 (cbrt.f64 (+.f64 x eps)) 5) (neg.f64 (pow.f64 x 5))) (fma.f64 -1 (pow.f64 x 5) (pow.f64 x 5))))
eps
0
23.0ms
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) 5) (pow.f64 (cbrt.f64 (+.f64 x eps)) 5) (neg.f64 (pow.f64 x 5)))
eps
0
16.0ms
(cbrt.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) 5) (pow.f64 (cbrt.f64 (+.f64 x eps)) 5) (neg.f64 (pow.f64 x 5))) (fma.f64 -1 (pow.f64 x 5) (pow.f64 x 5))))
x
0

rewrite57.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
279×log1p-udef_binary64
173×add-sqr-sqrt_binary64
172×log1p-expm1-u_binary64
172×expm1-log1p-u_binary64
169×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01767
137137
2461437
Stop Event
node limit
Counts
2 → 48

simplify65.0ms (1.5%)

Algorithm
egg-herbie
Rules
668×unswap-sqr_binary64
548×fma-def_binary64
495×associate-*l*_binary64
484×fma-neg_binary64
482×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
097707
1300694
2971676
34194673
Stop Event
node limit
Counts
80 → 75

prune398.0ms (9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1940194
Fresh044
Picked011
Done022
Total1947201
Error
0.0b
Counts
201 → 7
Alt Table
StatusErrorProgram
11.9b
(*.f64 eps (+.f64 (*.f64 (*.f64 5 x) (+.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 (*.f64 eps 10) (*.f64 x (*.f64 x (+.f64 eps x))))))
7.1b
(*.f64 (cbrt.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) 5) (pow.f64 (cbrt.f64 (+.f64 x eps)) 5) (neg.f64 (pow.f64 x 5))) (fma.f64 -1 (pow.f64 x 5) (pow.f64 x 5)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))) 2))
6.7b
(-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))
11.9b
(+.f64 (*.f64 5 (*.f64 eps (pow.f64 x 4))) (+.f64 (*.f64 10 (*.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (*.f64 5 (*.f64 (pow.f64 eps 4) x)) (*.f64 10 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
11.9b
(*.f64 eps (+.f64 (*.f64 5 (pow.f64 x 4)) (*.f64 10 (*.f64 eps (*.f64 x (*.f64 x (+.f64 eps x)))))))
56.9b
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) 15) (pow.f64 x 15)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x eps) 10) (+.f64 (pow.f64 x 10) (pow.f64 (*.f64 (+.f64 x eps) x) 5)))))
6.9b
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))) 2))
Compiler

Compiled 9876 to 6768 computations (31.5% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (*.f64 eps 10) (*.f64 x (*.f64 x (+.f64 eps x))))
0.1b
(*.f64 eps (+.f64 (*.f64 (*.f64 5 x) (+.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 (*.f64 eps 10) (*.f64 x (*.f64 x (+.f64 eps x))))))
0.1b
(*.f64 x (*.f64 x (+.f64 eps x)))
0.1b
(*.f64 (*.f64 5 x) (+.f64 (pow.f64 eps 3) (pow.f64 x 3)))

series62.0ms (1.4%)

Counts
4 → 96
Calls

24 calls:

5.0ms
(*.f64 eps (+.f64 (*.f64 (*.f64 5 x) (+.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 (*.f64 eps 10) (*.f64 x (*.f64 x (+.f64 eps x))))))
eps
inf
4.0ms
(*.f64 (*.f64 eps 10) (*.f64 x (*.f64 x (+.f64 eps x))))
x
-inf
3.0ms
(*.f64 (*.f64 eps 10) (*.f64 x (*.f64 x (+.f64 eps x))))
eps
-inf
3.0ms
(*.f64 (*.f64 eps 10) (*.f64 x (*.f64 x (+.f64 eps x))))
eps
inf
3.0ms
(*.f64 (*.f64 eps 10) (*.f64 x (*.f64 x (+.f64 eps x))))
eps
0

rewrite41.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
204×add-sqr-sqrt_binary64
196×log1p-expm1-u_binary64
196×expm1-log1p-u_binary64
195×add-cbrt-cube_binary64
190×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01877
141777
Stop Event
node limit
Counts
4 → 72

simplify101.0ms (2.3%)

Algorithm
egg-herbie
Rules
666×distribute-lft-out_binary64
446×distribute-rgt-in_binary64
364×distribute-rgt-out_binary64
334×*-commutative_binary64
276×unswap-sqr_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0401722
11221653
23521476
313361455
425571425
531071419
637181419
742541419
848211419
Stop Event
node limit
Counts
168 → 101

prune149.0ms (3.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New992101
Fresh123
Picked101
Done033
Total1017108
Error
0.0b
Counts
108 → 7
Alt Table
StatusErrorProgram
11.9b
(+.f64 (*.f64 5 (*.f64 eps (pow.f64 x 4))) (+.f64 (*.f64 10 (*.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (*.f64 5 (*.f64 (pow.f64 eps 4) x)) (*.f64 10 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
12.0b
(*.f64 eps (+.f64 (expm1.f64 (log1p.f64 (*.f64 5 (*.f64 x (+.f64 (pow.f64 eps 3) (pow.f64 x 3)))))) (*.f64 (*.f64 eps 10) (*.f64 x (*.f64 x (+.f64 eps x))))))
6.7b
(-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))
7.1b
(*.f64 (cbrt.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) 5) (pow.f64 (cbrt.f64 (+.f64 x eps)) 5) (neg.f64 (pow.f64 x 5))) (fma.f64 -1 (pow.f64 x 5) (pow.f64 x 5)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))) 2))
11.9b
(*.f64 eps (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 eps 10) (+.f64 eps x))) (*.f64 5 (+.f64 (pow.f64 eps 3) (pow.f64 x 3))))))
56.9b
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) 15) (pow.f64 x 15)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x eps) 10) (+.f64 (pow.f64 x 10) (pow.f64 (*.f64 (+.f64 x eps) x) 5)))))
6.9b
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))) 2))
Compiler

Compiled 3250 to 1948 computations (40.1% saved)

regimes470.0ms (10.6%)

Accuracy

Total 0.8b remaining (96.5%)

Threshold costs 0.8b (96.5%)

Counts
78 → 3
Compiler

Compiled 6175 to 4355 computations (29.5% saved)

bsearch3.0ms (0.1%)

Algorithm
left-value
Calls

2 calls:

0.0ms
(-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))
0.0ms
(-.f64 (pow.f64 (+.f64 x eps) 5) (pow.f64 x 5))
Steps
ItersPointRange
0.0
∈ [
0.0
,
3.6e-322
]
-1.9715732985220083e-294
∈ [
-1.9715732985220083e-294
,
0.0
]
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
043133
162133
266133
368133
469133
Stop Event
saturated

end218.0ms (4.9%)

Stop Event
fuel
Compiler

Compiled 386 to 269 computations (30.3% saved)

Profiling

Loading profile data...