Details

Time bar (total: 2.5s)

analyze4.0ms (0.2%)

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

Compiled 13 to 11 computations (15.4% saved)

sample1.1s (46%)

Results
460.0ms2100×body512valid
401.0ms4714×body128valid
156.0ms1023×body256valid
115.0ms419×body1024valid
Compiler

Compiled 26 to 22 computations (15.4% saved)

preprocess20.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
13×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11616
22116
32916
43916
55716
69416
712716
817016
920616
1023216
1123416
011
Stop Event
1×saturated
1×saturated
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify10.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
13×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11616
22116
32916
43916
55716
69416
712716
817016
920616
1023216
1123416
Stop Event
1×saturated
Counts
1 → 2

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
16.2b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶16.2b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 47 to 39 computations (17% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (-.f64 x 1))
✓0.0b
(/.f64 1 (+.f64 x 1))
✓2.9b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

series7.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

1.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
x
-inf
1.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
x
inf
1.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
x
0
1.0ms
(/.f64 1 (+.f64 x 1))
x
-inf
1.0ms
(/.f64 1 (-.f64 x 1))
x
-inf

rewrite79.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
867×prod-diff_binary64
180×egg-rr
162×expm1-udef_binary64
162×log1p-udef_binary64
97×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
119330
2292430
Stop Event
1×node limit
Counts
3 → 180

simplify32.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
423×associate-*l*_binary64
355×fma-neg_binary64
347×associate-/r*_binary64
286×cancel-sign-sub-inv_binary64
218×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065575
1198543
2594540
31924537
Stop Event
1×node limit
Counts
216 → 221

prune192.0ms (7.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2192221
Fresh000
Picked011
Done000
Total2193222
Error
0.4b
Counts
222 → 3
Alt Table
StatusErrorProgram
✓16.2b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
▶29.7b
(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
32.6b
(+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))))
Compiler

Compiled 5798 to 4685 computations (19.2% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x -1))
✓0.0b
(fma.f64 x x (-.f64 1 x))
✓0.3b
(/.f64 1 (+.f64 1 (pow.f64 x 3)))
✓29.6b
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)) (/.f64 -1 (+.f64 x -1)))

series10.0ms (0.4%)

Counts
4 → 48
Calls

12 calls:

1.0ms
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)) (/.f64 -1 (+.f64 x -1)))
x
-inf
1.0ms
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)) (/.f64 -1 (+.f64 x -1)))
x
inf
1.0ms
(/.f64 1 (+.f64 1 (pow.f64 x 3)))
x
-inf
1.0ms
(/.f64 1 (+.f64 1 (pow.f64 x 3)))
x
inf
1.0ms
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)) (/.f64 -1 (+.f64 x -1)))
x
0

rewrite62.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
767×prod-diff_binary64
150×add-sqr-sqrt_binary64
141×add-cbrt-cube_binary64
141×log1p-expm1-u_binary64
141×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01452
131351
2404951
Stop Event
1×node limit
Counts
4 → 105

simplify35.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
488×fma-neg_binary64
306×cancel-sign-sub-inv_binary64
272×fma-def_binary64
208×times-frac_binary64
199×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
076695
1224655
2674652
32250649
Stop Event
1×node limit
Counts
153 → 154

prune144.0ms (5.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1531154
Fresh011
Picked011
Done011
Total1534157
Error
0.0b
Counts
157 → 4
Alt Table
StatusErrorProgram
✓16.2b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
✓29.7b
(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
▶32.5b
(+.f64 (/.f64 (/.f64 -2 x) x) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
32.6b
(+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))))
Compiler

Compiled 5610 to 4408 computations (21.4% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 -1 (+.f64 x -1))
0.0b
(/.f64 1 (+.f64 x -1))
✓0.1b
(/.f64 (/.f64 -2 x) x)

series5.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

2.0ms
(/.f64 (/.f64 -2 x) x)
x
0
1.0ms
(/.f64 -1 (+.f64 x -1))
x
-inf
1.0ms
(/.f64 -1 (+.f64 x -1))
x
inf
1.0ms
(/.f64 (/.f64 -2 x) x)
x
inf
1.0ms
(/.f64 (/.f64 -2 x) x)
x
-inf

rewrite43.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
910×log1p-expm1-u_binary64
910×expm1-log1p-u_binary64
136×prod-diff_binary64
90×add-sqr-sqrt_binary64
85×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
118414
2246914
Stop Event
1×node limit
Counts
2 → 63

simplify24.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
593×fma-def_binary64
474×fma-neg_binary64
450×associate-/r*_binary64
264×cancel-sign-sub-inv_binary64
239×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030267
176251
2211250
3592248
41686248
Stop Event
1×node limit
Counts
87 → 79

prune85.0ms (3.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1223125
Fresh011
Picked011
Done022
Total1227129
Error
0.0b
Counts
129 → 7
Alt Table
StatusErrorProgram
✓16.2b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
✓29.7b
(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
✓32.5b
(+.f64 (/.f64 (/.f64 -2 x) x) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
44.3b
(+.f64 (cbrt.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3)) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
33.1b
(+.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 3) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
48.7b
(+.f64 (*.f64 (/.f64 -2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x))) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
▶32.6b
(+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))))
Compiler

Compiled 3031 to 2354 computations (22.3% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))
✓0.2b
(/.f64 2 (pow.f64 x 4))
✓0.2b
(/.f64 -2 (pow.f64 x 6))
✓0.4b
(/.f64 -2 (*.f64 x x))

series13.0ms (0.5%)

Counts
4 → 24
Calls

12 calls:

2.0ms
(-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))
x
0
1.0ms
(-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))
x
-inf
1.0ms
(-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))
x
inf
1.0ms
(/.f64 -2 (pow.f64 x 6))
x
0
1.0ms
(/.f64 -2 (pow.f64 x 6))
x
inf

rewrite65.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
735×prod-diff_binary64
158×egg-rr
140×log1p-expm1-u_binary64
140×expm1-log1p-u_binary64
137×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01337
130235
2384035
Stop Event
1×node limit
Counts
4 → 158

simplify23.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
513×associate-*l*_binary64
463×associate-*l/_binary64
373×associate-/l*_binary64
345×associate-*r/_binary64
285×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019267
146249
2109249
3285249
41224249
Stop Event
1×node limit
Counts
182 → 164

prune129.0ms (5.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1631164
Fresh303
Picked011
Done033
Total1665171
Error
0b
Counts
171 → 5
Alt Table
StatusErrorProgram
32.3b
(+.f64 (*.f64 -2 (pow.f64 x -2)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))))
✓32.5b
(+.f64 (/.f64 (/.f64 -2 x) x) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
✓16.2b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
✓29.7b
(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
✓32.6b
(+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))))
Compiler

Compiled 4287 to 3259 computations (24% saved)

regimes168.0ms (6.8%)

Accuracy

Total 0.0b remaining (57.8%)

Threshold costs 0.0b (57.8%)

Counts
63 → 3
Compiler

Compiled 2414 to 1922 computations (20.4% saved)

bsearch31.0ms (1.2%)

Algorithm
2×binary-search
Calls

2 calls:

16.0ms
x
13.0ms
x
Steps
ItersPointRange
218.49470597842105
∈ [
43.18887148678363
, 
276420.7550463244
]
-220.90960044263244
∈ [
-9979.600912883168
, 
-0.0035811007973851052
]
Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03391
14791
26491
37291
47791
57891
Stop Event
1×saturated

end117.0ms (4.7%)

Stop Event
1×fuel
Compiler

Compiled 226 to 180 computations (20.4% saved)

Profiling

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