Details

Time bar (total: 1.8s)

analyze374.0ms (20.5%)

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)

sample834.0ms (45.8%)

Results
791.0ms8256×body128valid
25.0ms298×body128invalid
Compiler

Compiled 18 to 12 computations (33.3% saved)

preprocess33.0ms (1.8%)

Algorithm
egg-herbie
Rules
162×fma-def_binary64
153×fma-neg_binary64
48×cancel-sign-sub-inv_binary64
31×sub-neg_binary64
27×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01228
13328
26028
310528
415428
528528
646928
762028
872228
974328
1074628
033
133
Stop Event
unsound
saturated
Symmetry

(sort y z)

Compiler

Compiled 8 to 5 computations (37.5% 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

prune1.0ms (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)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.5%)

Counts
1 → 9
Calls

9 calls:

4.0ms
(-.f64 x (*.f64 y z))
z
inf
1.0ms
(-.f64 x (*.f64 y z))
x
0
1.0ms
(-.f64 x (*.f64 y z))
x
inf
1.0ms
(-.f64 x (*.f64 y z))
z
-inf
1.0ms
(-.f64 x (*.f64 y z))
x
-inf

rewrite47.0ms (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

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

prune49.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New96298
Fresh000
Picked011
Done000
Total96399
Error
0b
Counts
99 → 3
Alt Table
StatusErrorProgram
0.0b
(-.f64 x (*.f64 y z))
48.3b
(+.f64 (fma.f64 x 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) z)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y))))
26.9b
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
Compiler

Compiled 2233 to 671 computations (70% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 y z))
8.7b
(sqrt.f64 (*.f64 y z))
26.7b
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))

series43.0ms (2.4%)

Counts
2 → 6
Calls

12 calls:

7.0ms
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))
y
0
6.0ms
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))
z
inf
5.0ms
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))
z
0
5.0ms
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))
z
-inf
4.0ms
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))
y
-inf

rewrite40.0ms (2.2%)

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

simplify7.0ms (0.4%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0424
1524
Stop Event
saturated
Counts
69 → 64

prune81.0ms (4.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2021203
Fresh101
Picked101
Done011
Total2042206
Error
0b
Counts
206 → 2
Alt Table
StatusErrorProgram
48.3b
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 y z)))
0.0b
(-.f64 x (*.f64 y z))
Compiler

Compiled 5861 to 1267 computations (78.4% saved)

localize10.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 y z))
0.1b
(*.f64 (sqrt.f64 z) (sqrt.f64 y))
8.7b
(sqrt.f64 (*.f64 y z))
13.1b
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 y z))

series41.0ms (2.3%)

Counts
2 → 6
Calls

12 calls:

6.0ms
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 y z))
z
0
6.0ms
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 y z))
z
-inf
5.0ms
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 y z))
y
-inf
4.0ms
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 y z))
z
inf
4.0ms
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 y z))
y
0

rewrite41.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
745×prod-diff_binary64
661×log1p-expm1-u_binary64
661×expm1-log1p-u_binary64
86×add-sqr-sqrt_binary64
85×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01026
120516
2222016
Stop Event
node limit
Counts
2 → 45

simplify7.0ms (0.4%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0424
1524
Stop Event
saturated
Counts
51 → 46

prune65.0ms (3.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1850185
Fresh000
Picked011
Done011
Total1852187
Error
0b
Counts
187 → 2
Alt Table
StatusErrorProgram
48.3b
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 y z)))
0.0b
(-.f64 x (*.f64 y z))
Compiler

Compiled 5536 to 1177 computations (78.7% saved)

regimes53.0ms (2.9%)

Accuracy

Total 0.0b remaining (8.8%)

Threshold costs 0.0b (8.8%)

Counts
8 → 1
Compiler

Compiled 667 to 351 computations (47.4% saved)

simplify3.0ms (0.2%)

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

end50.0ms (2.8%)

Stop Event
done
Remove

(sort y z)

Compiler

Compiled 63 to 37 computations (41.3% saved)

Profiling

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