Details

Time bar (total: 5.2s)

analyze1.5s (27.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
12.5%87.3%0.2%10
15.6%80.3%4.1%11
31.2%63.9%4.9%12
39%50.9%10.1%13
44.8%44.4%10.7%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.8s (34.7%)

Symmetry

(sort x y)

(sort z t)

Results
1.5s8256×body128valid
252.0ms1378×body128invalid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify12.0ms (0.2%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
+-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2158
3158

prune7.0ms (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 x y (*.f64 z t))
Compiler

Compiled 37 to 20 computations (45.9% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x y (*.f64 z t))

series16.0ms (0.3%)

Counts
1 → 48
Calls

1 calls:

16.0ms
(fma.f64 x y (*.f64 z t))

rewrite70.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
602×log1p-expm1-u_binary64
602×expm1-log1p-u_binary64
339×log-prod_binary64
176×prod-diff_binary64
129×expm1-udef_binary64
Counts
1 → 29
Calls

1 calls:

69.0ms
(fma.f64 x y (*.f64 z t))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11378
215808
351478
000
100

simplify23.0ms (0.4%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
+-commutative_binary64
Counts
77 → 33
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08336
112336
215336
315336

prune30.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New32133
Fresh000
Picked011
Done000
Total32234
Error
0.0b
Counts
34 → 2
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x y (*.f64 z t))
0.0b
(fma.f64 t z (*.f64 y x))
Compiler

Compiled 399 to 121 computations (69.7% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 t z (*.f64 y x))

series18.0ms (0.3%)

Counts
1 → 48
Calls

1 calls:

18.0ms
(fma.f64 t z (*.f64 y x))

rewrite61.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
602×log1p-expm1-u_binary64
602×expm1-log1p-u_binary64
339×log-prod_binary64
176×prod-diff_binary64
129×expm1-udef_binary64
Counts
1 → 29
Calls

1 calls:

60.0ms
(fma.f64 t z (*.f64 y x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11378
215808
351478
000
100

simplify22.0ms (0.4%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
+-commutative_binary64
Counts
77 → 32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08336
112336
215336
315336

prune25.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New31132
Fresh000
Picked011
Done011
Total31334
Error
0b
Counts
34 → 3
Alt Table
StatusErrorProgram
1.3b
(*.f64 (cbrt.f64 (fma.f64 t z (*.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 y x))) 2))
0.0b
(fma.f64 x y (*.f64 z t))
0.0b
(fma.f64 t z (*.f64 y x))
Compiler

Compiled 424 to 132 computations (68.9% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 t z (*.f64 y x))
0.4b
(*.f64 (cbrt.f64 (fma.f64 t z (*.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 y x))) 2))
0.5b
(pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 y x))) 2)
1.8b
(cbrt.f64 (fma.f64 t z (*.f64 y x)))

series381.0ms (7.3%)

Counts
3 → 144
Calls

3 calls:

239.0ms
(pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 y x))) 2)
124.0ms
(cbrt.f64 (fma.f64 t z (*.f64 y x)))
17.0ms
(*.f64 (cbrt.f64 (fma.f64 t z (*.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 y x))) 2))

rewrite89.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
792×log1p-expm1-u_binary64
792×expm1-log1p-u_binary64
176×prod-diff_binary64
97×add-sqr-sqrt_binary64
90×add-cube-cbrt_binary64
Counts
3 → 60
Calls

3 calls:

86.0ms
(*.f64 (cbrt.f64 (fma.f64 t z (*.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 y x))) 2))
86.0ms
(pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 y x))) 2)
86.0ms
(cbrt.f64 (fma.f64 t z (*.f64 y x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
120029
2209129
3517529
000
100

simplify246.0ms (4.7%)

Algorithm
egg-herbie
Rules
599×associate-/l*_binary64
548×associate-/r*_binary64
262×associate-*r/_binary64
256×fma-def_binary64
208×associate-*l/_binary64
Counts
204 → 215
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04556910
117336694
250086694

prune589.0ms (11.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3780378
Fresh000
Picked011
Done022
Total3783381
Error
0b
Counts
381 → 3
Alt Table
StatusErrorProgram
1.3b
(*.f64 (cbrt.f64 (fma.f64 t z (*.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 t z (*.f64 y x))) 2))
0.0b
(fma.f64 x y (*.f64 z t))
0.0b
(fma.f64 t z (*.f64 y x))
Compiler

Compiled 16019 to 7886 computations (50.8% saved)

regimes195.0ms (3.7%)

Accuracy

Total 0.0b remaining (98.1%)

Threshold costs 0.0b (98.1%)

Counts
7 → 1
Compiler

Compiled 675 to 424 computations (37.2% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
288

end137.0ms (2.6%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 101 to 58 computations (42.6% saved)

Profiling

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