Details

Time bar (total: 4.2s)

analyze81.0ms (1.9%)

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
49.9%49.9%0.1%4
49.9%49.9%0.1%5
49.9%49.9%0.1%6
74.9%25%0.1%7
74.9%25%0.1%8
74.9%25%0.1%9
87.4%12.5%0.1%10
87.4%12.5%0.1%11
87.4%12.5%0.1%12
93.6%6.2%0.1%13
93.6%6.2%0.1%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample779.0ms (18.4%)

Results
579.0ms8256×body128valid
Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify169.0ms (4%)

Algorithm
egg-herbie
Rules
907×associate-/l*_binary64
740×associate-/l/_binary64
677×fma-def_binary64
607×associate-/r/_binary64
557×associate-*l/_binary64
Counts
1 → 2
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0710
11710
22310
33610
44110
54710
6518
7618
82288
97618
108518
119648
129758
139808
149858
1522318
1622888
1726378
1826898
1929018
2030318
2132788
2237008
2341098
2441578
2548728
2649978
2748898

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
4.7b
(fma.f64 x (/.f64 y z) x)
10.0b
(/.f64 (*.f64 x (+.f64 y z)) z)
Compiler

Compiled 54 to 30 computations (44.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.7b
(fma.f64 x (/.f64 y z) x)

series13.0ms (0.3%)

Counts
1 → 36
Calls

1 calls:

13.0ms
(fma.f64 x (/.f64 y z) 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 x (/.f64 y z) x)

simplify79.0ms (1.9%)

Algorithm
egg-herbie
Rules
635×fma-def_binary64
449×associate-/l/_binary64
410×distribute-rgt-in_binary64
404×distribute-rgt-out_binary64
400×unswap-sqr_binary64
Counts
46 → 24
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022451
132374
263374
3171374
4650374
52482374
63613374
73881374
84329374
95248374

prune15.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New21324
Fresh011
Picked011
Done000
Total21526
Error
0.0b
Counts
26 → 5
Alt Table
StatusErrorProgram
4.7b
(fma.f64 x (/.f64 y z) x)
10.0b
(/.f64 (*.f64 x (+.f64 y z)) z)
34.6b
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) (sqrt.f64 (fma.f64 x (/.f64 y z) x)))
5.8b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
34.0b
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 y z) x x) 3))
Compiler

Compiled 375 to 115 computations (69.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
0.5b
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
4.7b
(fma.f64 x (/.f64 y z) x)
9.8b
(cbrt.f64 (fma.f64 x (/.f64 y z) x))

series737.0ms (17.4%)

Counts
3 → 108
Calls

3 calls:

407.0ms
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
317.0ms
(cbrt.f64 (fma.f64 x (/.f64 y z) x))
12.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))

rewrite19.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
29×pow1_binary64
24×add-sqr-sqrt_binary64
23×cbrt-prod_binary64
16×pow1/3_binary64
14×*-un-lft-identity_binary64
Counts
3 → 93
Calls

3 calls:

6.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
4.0ms
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
1.0ms
(cbrt.f64 (fma.f64 x (/.f64 y z) x))

simplify132.0ms (3.1%)

Algorithm
egg-herbie
Rules
884×times-frac_binary64
509×fma-def_binary64
305×fma-neg_binary64
168×cancel-sign-sub-inv_binary64
153×associate-*r*_binary64
Counts
201 → 188
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02675248
16974885
219194145
347584117
450064117

prune232.0ms (5.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New3533356
Fresh033
Picked011
Done011
Total3538361
Error
0.0b
Counts
361 → 8
Alt Table
StatusErrorProgram
4.7b
(fma.f64 x (/.f64 y z) x)
5.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
10.0b
(/.f64 (*.f64 x (+.f64 y z)) z)
6.1b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))))
5.9b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))))
34.6b
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) (sqrt.f64 (fma.f64 x (/.f64 y z) x)))
5.8b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
34.0b
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 y z) x x) 3))
Compiler

Compiled 12711 to 3452 computations (72.8% saved)

localize65.0ms (1.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
4.7b
(fma.f64 x (/.f64 y z) x)
4.8b
(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))))
9.8b
(cbrt.f64 (fma.f64 x (/.f64 y z) x))

series810.0ms (19.1%)

Counts
2 → 72
Calls

2 calls:

455.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))))
354.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))

rewrite6.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
2 → 27
Calls

2 calls:

4.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))))
1.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))

simplify82.0ms (1.9%)

Algorithm
egg-herbie
Rules
884×times-frac_binary64
602×associate-/l*_binary64
515×fma-def_binary64
176×cancel-sign-sub-inv_binary64
173×associate-/r/_binary64
Counts
99 → 100
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02343736
16443534
217173062
353333062

prune310.0ms (7.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New4600460
Fresh055
Picked011
Done022
Total4608468
Error
0.0b
Counts
468 → 8
Alt Table
StatusErrorProgram
4.7b
(fma.f64 x (/.f64 y z) x)
5.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
10.0b
(/.f64 (*.f64 x (+.f64 y z)) z)
6.1b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))))
5.9b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))))
34.6b
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) (sqrt.f64 (fma.f64 x (/.f64 y z) x)))
5.8b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
34.0b
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 y z) x x) 3))
Compiler

Compiled 25895 to 5673 computations (78.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
4.7b
(fma.f64 x (/.f64 y z) x)
4.8b
(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))))
9.8b
(cbrt.f64 (fma.f64 x (/.f64 y z) x))

prune280.0ms (6.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New4600460
Fresh044
Picked011
Done033
Total4608468
Error
0.0b
Counts
468 → 8
Alt Table
StatusErrorProgram
4.7b
(fma.f64 x (/.f64 y z) x)
5.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
10.0b
(/.f64 (*.f64 x (+.f64 y z)) z)
6.1b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))))
5.9b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))))
34.6b
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) (sqrt.f64 (fma.f64 x (/.f64 y z) x)))
5.8b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
34.0b
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 y z) x x) 3))
Compiler

Compiled 25772 to 5780 computations (77.6% saved)

regimes301.0ms (7.1%)

Accuracy

Total 0.6b remaining (95.3%)

Threshold costs 0.6b (95.3%)

Counts
39 → 5
Compiler

Compiled 4596 to 1742 computations (62.1% saved)

bsearch2.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
if-not_binary64
if-if-or-not_binary64
not-not_bool
not-or_bool
+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02298
12790
23084
33682
43982
54282
64282
74382
84382

end97.0ms (2.3%)

Compiler

Compiled 318 to 114 computations (64.2% saved)

Profiling

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