Details

Time bar (total: 1.9s)

analyze54.0ms (2.9%)

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
25%74.9%0.1%4
43.7%56.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.0s (55%)

Results
1.0s8256×body128valid
Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify10.0ms (0.5%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
267

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(/.f64 x (+.f64 y x))
Compiler

Compiled 26 to 14 computations (46.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 y x))

series7.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

7.0ms
(/.f64 x (+.f64 y x))

rewrite55.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
664×log1p-expm1-u_binary64
664×expm1-log1p-u_binary64
473×prod-diff_binary64
61×add-sqr-sqrt_binary64
57×add-log-exp_binary64
Counts
1 → 36
Calls

1 calls:

54.0ms
(/.f64 x (+.f64 y x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11157
216467
349757

simplify70.0ms (3.7%)

Algorithm
egg-herbie
Rules
385×associate-/l*_binary64
334×associate-/r*_binary64
321×associate-*l/_binary64
252×fma-def_binary64
241×associate-*r/_binary64
Counts
60 → 49
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
030438
176438
2217387
3866345
44256345
54966321
64952321

prune33.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New47249
Fresh000
Picked011
Done000
Total47350
Error
0b
Counts
50 → 3
Alt Table
StatusErrorProgram
35.4b
(-.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1) (pow.f64 (/.f64 y x) 3))
0.0b
(/.f64 x (+.f64 y x))
0.2b
(*.f64 x (/.f64 1 (+.f64 x y)))
Compiler

Compiled 600 to 257 computations (57.2% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 x y))
0.2b
(*.f64 x (/.f64 1 (+.f64 x y)))

series15.0ms (0.8%)

Counts
2 → 48
Calls

2 calls:

8.0ms
(/.f64 1 (+.f64 x y))
7.0ms
(*.f64 x (/.f64 1 (+.f64 x y)))

rewrite50.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
738×log1p-expm1-u_binary64
738×expm1-log1p-u_binary64
484×prod-diff_binary64
75×add-sqr-sqrt_binary64
69×add-cbrt-cube_binary64
Counts
2 → 52
Calls

2 calls:

48.0ms
(/.f64 1 (+.f64 x y))
48.0ms
(*.f64 x (/.f64 1 (+.f64 x y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
115114
2187414
3543914

simplify64.0ms (3.4%)

Algorithm
egg-herbie
Rules
747×fma-neg_binary64
588×associate-/l*_binary64
539×associate-/r*_binary64
451×cancel-sign-sub-inv_binary64
426×fma-def_binary64
Counts
100 → 79
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048912
1118912
2351825
31338750
44726750
55115750

prune33.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh011
Picked011
Done011
Total79382
Error
0b
Counts
82 → 3
Alt Table
StatusErrorProgram
35.4b
(-.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1) (pow.f64 (/.f64 y x) 3))
0.0b
(/.f64 x (+.f64 y x))
0.2b
(*.f64 x (/.f64 1 (+.f64 x y)))
Compiler

Compiled 957 to 484 computations (49.4% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1)
0.2b
(pow.f64 (/.f64 y x) 3)
8.3b
(-.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1) (pow.f64 (/.f64 y x) 3))

series34.0ms (1.8%)

Counts
3 → 72
Calls

3 calls:

15.0ms
(pow.f64 (/.f64 y x) 3)
11.0ms
(-.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1) (pow.f64 (/.f64 y x) 3))
7.0ms
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1)

rewrite130.0ms (6.9%)

Algorithm
batch-egg-rewrite
Rules
638×prod-diff_binary64
497×fma-udef_binary64
271×fma-neg_binary64
206×expm1-udef_binary64
206×log1p-udef_binary64
Counts
3 → 113
Calls

3 calls:

123.0ms
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1)
123.0ms
(pow.f64 (/.f64 y x) 3)
123.0ms
(-.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1) (pow.f64 (/.f64 y x) 3))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
124144
2301844
3485144
4481244
5493144

simplify69.0ms (3.7%)

Algorithm
egg-herbie
Rules
762×times-frac_binary64
527×unswap-sqr_binary64
451×associate-/l*_binary64
316×fma-def_binary64
264×associate-/r*_binary64
Counts
185 → 127
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0231023
1611023
2159825
3671783
43911783
55190783

prune89.0ms (4.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh000
Picked011
Done022
Total1273130
Error
0b
Counts
130 → 3
Alt Table
StatusErrorProgram
35.4b
(-.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1) (pow.f64 (/.f64 y x) 3))
0.0b
(/.f64 x (+.f64 y x))
0.2b
(*.f64 x (/.f64 1 (+.f64 x y)))
Compiler

Compiled 3229 to 1604 computations (50.3% saved)

regimes68.0ms (3.6%)

Accuracy

Total 0.0b remaining (68%)

Threshold costs 0.0b (68%)

Counts
22 → 1
Compiler

Compiled 827 to 520 computations (37.1% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1811
2811

end43.0ms (2.3%)

Compiler

Compiled 52 to 32 computations (38.5% saved)

Profiling

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