Details

Time bar (total: 3.0s)

analyze430.0ms (14.2%)

Algorithm
1×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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
34.3%63.2%2.5%9
40.6%52.7%6.8%10
48.4%42.1%9.5%11
56.2%32.5%11.4%12
59.1%26.9%14%13
63.9%21%15.1%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample930.0ms (30.8%)

Results
834.0ms8256×body128valid
60.0ms610×body128invalid
Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify10.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
66×fma-def_binary64
8×associate-*r*_binary64
8×associate-*l*_binary64
7×+-commutative_binary64
6×*-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
1168
2268
3398
4488
5558
6538
7718
8758
9888
10948
11998
121008
13988

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(fma.f64 y (+.f64 x z) x)
Compiler

Compiled 34 to 18 computations (47.1% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 y (+.f64 x z) x)

series9.0ms (0.3%)

Counts
1 → 36
Calls

1 calls:

9.0ms
(fma.f64 y (+.f64 x z) x)

rewrite40.0ms (1.3%)

Algorithm
2×batch-egg-rewrite
Rules
23×egg-rr
Counts
1 → 23
Calls

2 calls:

39.0ms
((fma.f64 y (+.f64 x z) x))
0.0ms
()
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11298
216768
350718
000
100

simplify20.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
66×fma-def_binary64
8×associate-*r*_binary64
8×associate-*l*_binary64
6×*-commutative_binary64
5×+-commutative_binary64
Counts
59 → 32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014285
131285
247258
351258
470258
574258
688258
794258
899258
9100258
1098258

prune25.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New31132
Fresh000
Picked011
Done000
Total31233
Error
0b
Counts
33 → 2
Alt Table
StatusErrorProgram
✓0.0b
(fma.f64 y (+.f64 x z) x)
▶40.3b
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (+.f64 x z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 x z)) x))))
Compiler

Compiled 393 to 119 computations (69.7% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓2.8b
(+.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (+.f64 x z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 x z)) x)))
✓3.0b
(+.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3) (pow.f64 x 3))
✓4.3b
(-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 x z)) x))
✓39.1b
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (+.f64 x z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 x z)) x))))

series719.0ms (23.8%)

Counts
4 → 144
Calls

4 calls:

546.0ms
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (+.f64 x z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 x z)) x))))
98.0ms
(+.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3) (pow.f64 x 3))
53.0ms
(+.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (+.f64 x z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 x z)) x)))
22.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 x z)) x))

rewrite97.0ms (3.2%)

Algorithm
2×batch-egg-rewrite
Rules
150×egg-rr
Counts
4 → 150
Calls

2 calls:

91.0ms
((/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (+.f64 x z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 x z)) x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 x z)) x)) (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (+.f64 x z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 x z)) x))))
0.0ms
()
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01697
139760
2458060
3559860
000
100

simplify182.0ms (6%)

Algorithm
1×egg-herbie
Rules
750×times-frac_binary64
656×associate-/l*_binary64
644×fma-def_binary64
228×+-commutative_binary64
195×associate-+r+_binary64
Counts
294 → 230
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059013290
1216111873
2529111873

prune311.0ms (10.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2300230
Fresh000
Picked011
Done011
Total2302232
Error
0b
Counts
232 → 2
Alt Table
StatusErrorProgram
✓0.0b
(fma.f64 y (+.f64 x z) x)
✓40.3b
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (+.f64 x z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 x z)) x))))
Compiler

Compiled 17851 to 9022 computations (49.5% saved)

regimes172.0ms (5.7%)

Accuracy

Total -0.0b remaining (-31%)

Threshold costs -0.0b (-31%)

Counts
38 → 1
Compiler

Compiled 4052 to 2066 computations (49% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
169

end53.0ms (1.7%)

Compiler

Compiled 67 to 31 computations (53.7% saved)

Profiling

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