Details

Time bar (total: 1.9s)

analyze345.0ms (18.6%)

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
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
37.4%62.4%0.1%9
46.8%47.6%5.6%10
54.6%39.4%6%11
62.8%31%6.2%12
66.9%23.9%9.2%13
71.7%19%9.4%14
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample777.0ms (41.8%)

Symmetry

(sort y z)

Results
712.0ms8256×body128valid
22.0ms278×body128invalid
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify12.0ms (0.7%)

Algorithm
egg-herbie
Rules
100×fma-def_binary64
56×fma-neg_binary64
29×cancel-sign-sub-inv_binary64
18×sub-neg_binary64
13×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2247
3417
4607
5947
61497
71997
82637
93377
103877
113937
Stop Event
saturated
Counts
1 → 1

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(-.f64 x (*.f64 y z))
Compiler

Compiled 24 to 15 computations (37.5% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 y z))

series5.0ms (0.3%)

Counts
1 → 9
Calls

1 calls:

5.0ms
(-.f64 x (*.f64 y z))

rewrite48.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
684×log1p-expm1-u_binary64
684×expm1-log1p-u_binary64
624×prod-diff_binary64
95×egg-rr
70×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11327
218397
Stop Event
node limit
Counts
1 → 95
Calls

1 calls:

45.0ms
(-.f64 x (*.f64 y z))

simplify11.0ms (0.6%)

Algorithm
egg-herbie
Rules
38×fma-def_binary64
sub-neg_binary64
+-commutative_binary64
*-commutative_binary64
distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0734
11234
22534
32934
43334
55134
67334
78434
89634
912134
Stop Event
saturated
Counts
104 → 98

prune52.0ms (2.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New96298
Fresh000
Picked011
Done000
Total96399
Error
0b
Counts
99 → 3
Alt Table
StatusErrorProgram
25.1b
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
0.6b
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
0.0b
(-.f64 x (*.f64 y z))
Compiler

Compiled 2221 to 669 computations (69.9% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 y z))
0.5b
(pow.f64 (cbrt.f64 (*.f64 y z)) 2)
7.8b
(cbrt.f64 (*.f64 y z))
52.7b
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))

series122.0ms (6.6%)

Counts
3 → 6
Calls

3 calls:

53.0ms
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))
47.0ms
(pow.f64 (cbrt.f64 (*.f64 y z)) 2)
22.0ms
(cbrt.f64 (*.f64 y z))

rewrite46.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
881×prod-diff_binary64
645×log1p-expm1-u_binary64
645×expm1-log1p-u_binary64
88×add-sqr-sqrt_binary64
85×egg-rr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0938
118425
2216425
Stop Event
node limit
Counts
3 → 85
Calls

3 calls:

45.0ms
(pow.f64 (cbrt.f64 (*.f64 y z)) 2)
45.0ms
(cbrt.f64 (*.f64 y z))
45.0ms
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))

simplify8.0ms (0.4%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0424
1524
Stop Event
saturated
Counts
91 → 86

prune121.0ms (6.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2250225
Fresh011
Picked011
Done011
Total2253228
Error
0b
Counts
228 → 3
Alt Table
StatusErrorProgram
25.1b
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
0.6b
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
0.0b
(-.f64 x (*.f64 y z))
Compiler

Compiled 6850 to 1919 computations (72% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 y z))
7.3b
(sqrt.f64 (*.f64 y z))
29.4b
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))

series39.0ms (2.1%)

Counts
2 → 6
Calls

2 calls:

28.0ms
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))
11.0ms
(sqrt.f64 (*.f64 y z))

rewrite39.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
653×prod-diff_binary64
528×log1p-expm1-u_binary64
528×expm1-log1p-u_binary64
108×log1p-udef_binary64
71×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0726
114316
2178216
Stop Event
node limit
Counts
2 → 63
Calls

2 calls:

38.0ms
(sqrt.f64 (*.f64 y z))
38.0ms
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))

simplify8.0ms (0.4%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0424
1524
Stop Event
saturated
Counts
69 → 64

prune92.0ms (5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2030203
Fresh000
Picked011
Done022
Total2033206
Error
0b
Counts
206 → 3
Alt Table
StatusErrorProgram
25.1b
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
0.6b
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
0.0b
(-.f64 x (*.f64 y z))
Compiler

Compiled 5861 to 1263 computations (78.5% saved)

regimes53.0ms (2.9%)

Accuracy

Total 0.0b remaining (30%)

Threshold costs 0.0b (30%)

Counts
10 → 1
Compiler

Compiled 822 to 471 computations (42.7% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2247
3307
4347
5357
Stop Event
saturated

end53.0ms (2.8%)

Remove

(sort y z)

Compiler

Compiled 86 to 45 computations (47.7% saved)

Profiling

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