Details

Time bar (total: 2.5s)

analyze115.0ms (4.5%)

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
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)

sample21.0ms (0.8%)

Algorithm
1×intervals
Results
10.0ms256×body128valid
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify19.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
267

prune3.0ms (0.1%)

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)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
18×*-un-lft-identity_binary64
12×times-frac_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
4×associate-/r*_binary64
Counts
1 → 35
Calls

1 calls:

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

series19.0ms (0.7%)

Counts
1 → 24
Calls

1 calls:

19.0ms
(/.f64 x (+.f64 y x))

simplify107.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
614×fma-def_binary64
547×associate-/r*_binary64
430×associate-/l/_binary64
325×associate-/r/_binary64
276×cancel-sign-sub-inv_binary64
Counts
59 → 106
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
084914
1184884
2477833
31577791
44946791

prune58.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1042106
Fresh000
Picked101
Done000
Total1052107
Error
0b
Counts
107 → 2
Alt Table
StatusErrorProgram
0.6b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (cbrt.f64 (/.f64 x (+.f64 y x)))) (cbrt.f64 (/.f64 x (+.f64 y x))))
▶0.0b
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 y x))))
Compiler

Compiled 904 to 288 computations (68.1% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 y x))
✓0.0b
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 y x))))
✓0.0b
(log1p.f64 (/.f64 x (+.f64 y x)))

rewrite3.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
3×expm1-log1p-u_binary64
2×*-un-lft-identity_binary64
2×add-sqr-sqrt_binary64
2×add-cube-cbrt_binary64
2×add-cbrt-cube_binary64
Counts
2 → 22
Calls

2 calls:

1.0ms
(log1p.f64 (/.f64 x (+.f64 y x)))
1.0ms
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 y x))))

series67.0ms (2.7%)

Counts
2 → 48
Calls

2 calls:

37.0ms
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 y x))))
30.0ms
(log1p.f64 (/.f64 x (+.f64 y x)))

simplify158.0ms (6.2%)

Algorithm
1×egg-herbie
Rules
977×fma-neg_binary64
356×distribute-neg-frac_binary64
290×times-frac_binary64
223×sub-neg_binary64
217×associate-/l*_binary64
Counts
70 → 125
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01031358
12321249
27081111
330001081
449281081
550001081
649491081

prune133.0ms (5.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2310231
Fresh011
Picked011
Done000
Total2312233
Error
0b
Counts
233 → 2
Alt Table
StatusErrorProgram
▶0.6b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (cbrt.f64 (/.f64 x (+.f64 y x)))) (cbrt.f64 (/.f64 x (+.f64 y x))))
✓0.0b
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 y x))))
Compiler

Compiled 2009 to 854 computations (57.5% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (cbrt.f64 (/.f64 x (+.f64 y x))))
7.2b
(cbrt.f64 (/.f64 x (+.f64 y x)))
7.2b
(cbrt.f64 (/.f64 x (+.f64 y x)))
✓7.2b
(cbrt.f64 (/.f64 x (+.f64 y x)))

rewrite71.0ms (2.8%)

Algorithm
1×rewrite-expression-head
Rules
114×cbrt-prod_binary64
98×*-un-lft-identity_binary64
78×times-frac_binary64
74×add-sqr-sqrt_binary64
50×add-cube-cbrt_binary64
Counts
2 → 130
Calls

2 calls:

38.0ms
(*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (cbrt.f64 (/.f64 x (+.f64 y x))))
10.0ms
(cbrt.f64 (/.f64 x (+.f64 y x)))

series114.0ms (4.5%)

Counts
2 → 48
Calls

2 calls:

62.0ms
(*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (cbrt.f64 (/.f64 x (+.f64 y x))))
52.0ms
(cbrt.f64 (/.f64 x (+.f64 y x)))

simplify267.0ms (10.5%)

Algorithm
1×egg-herbie
Rules
874×associate-/l*_binary64
457×fma-def_binary64
302×cancel-sign-sub-inv_binary64
230×associate-/r/_binary64
194×associate-*r*_binary64
Counts
178 → 343
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03135569
17615243
223444809
354864809

prune430.0ms (16.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New6430643
Fresh000
Picked011
Done011
Total6432645
Error
0b
Counts
645 → 2
Alt Table
StatusErrorProgram
✓0.6b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (cbrt.f64 (/.f64 x (+.f64 y x)))) (cbrt.f64 (/.f64 x (+.f64 y x))))
✓0.0b
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 y x))))
Compiler

Compiled 13749 to 4006 computations (70.9% saved)

regimes110.0ms (4.3%)

Accuracy

Total 0.0b remaining (63.8%)

Threshold costs 0.0b (63.8%)

Compiler

Compiled 797 to 454 computations (43% saved)

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1811
2811

end1.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample800.0ms (31.5%)

Algorithm
1×intervals
Results
372.0ms8000×body128valid
Compiler

Compiled 50 to 26 computations (48% saved)

Profiling

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