Details

Time bar (total: 1.9s)

analyze356.0ms (19%)

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
28.1%71.8%0.1%9
34.3%56.9%8.7%10
40.6%49.9%9.5%11
48%41.9%10.1%12
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.0s (54.7%)

Results
825.0ms8256×body256valid
162.0ms1125×body256invalid

preprocess15.0ms (0.8%)

Algorithm
egg-herbie
Rules
12×fma-def_binary64
*-commutative_binary64
distribute-lft-in_binary64
distribute-rgt-in_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01228
11828
23628
35628
033
133
Stop Event
unsound
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
0
2
Call 2
Inputs
(*.f64 (+.f64 x y) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 z y) x)
(*.f64 (+.f64 x z) y)
Outputs
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 x y))
(*.f64 (+.f64 y x) z)
(*.f64 z (+.f64 x y))
(*.f64 (+.f64 z y) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 x z) y)
(*.f64 y (+.f64 x z))
Symmetry

(sort x y)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
distribute-lft-in_binary64
distribute-rgt-in_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
2167
3227
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) z)
Outputs
(*.f64 (+.f64 x y) z)

eval0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 (+.f64 x y) z)
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize138.0ms (7.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 x y) z)
Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (+.f64 x y) z)
1.0ms
x
@0
(*.f64 (+.f64 x y) z)
1.0ms
x
@inf
(*.f64 (+.f64 x y) z)
0.0ms
z
@inf
(*.f64 (+.f64 x y) z)
0.0ms
z
@-inf
(*.f64 (+.f64 x y) z)

rewrite59.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
715×pow1_binary64
663×add-log-exp_binary64
663×log1p-expm1-u_binary64
663×expm1-log1p-u_binary64
648×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
217767
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 x y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) z) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x y) z)))))))

simplify11.0ms (0.6%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
+-commutative_binary64
distribute-rgt-out_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09264
115234
218234
Stop Event
saturated
Counts
57 → 26
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
Outputs
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))

eval4.0ms (0.2%)

Compiler

Compiled 221 to 85 computations (61.5% saved)

prune5.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New23326
Fresh000
Picked011
Done000
Total23427
Error
0b
Counts
27 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(+.f64 (*.f64 z y) (*.f64 z x))
0.0b
(*.f64 (+.f64 x y) z)
29.8b
(*.f64 z x)
28.9b
(*.f64 y z)
Compiler

Compiled 30 to 19 computations (36.7% saved)

localize3.0ms (0.2%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize6.0ms (0.3%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize7.0ms (0.4%)

Compiler

Compiled 19 to 6 computations (68.4% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(+.f64 (*.f64 z y) (*.f64 z x))
0.0b
(*.f64 (+.f64 x y) z)
29.8b
(*.f64 z x)
28.9b
(*.f64 y z)
Compiler

Compiled 30 to 19 computations (36.7% saved)

regimes24.0ms (1.3%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 z x)
(*.f64 y z)
(*.f64 (+.f64 x y) z)
(+.f64 (*.f64 z y) (*.f64 z x))
Outputs
(+.f64 (*.f64 z y) (*.f64 z x))
Calls

5 calls:

5.0ms
(+.f64 x y)
5.0ms
y
4.0ms
x
4.0ms
z
4.0ms
(*.f64 (+.f64 x y) z)
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1z
0b1(*.f64 (+.f64 x y) z)
0b1(+.f64 x y)
Compiler

Compiled 47 to 27 computations (42.6% saved)

regimes22.0ms (1.2%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 z x)
(*.f64 y z)
(*.f64 (+.f64 x y) z)
Outputs
(*.f64 (+.f64 x y) z)
Calls

5 calls:

5.0ms
(*.f64 (+.f64 x y) z)
5.0ms
x
4.0ms
(+.f64 x y)
4.0ms
z
4.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(*.f64 (+.f64 x y) z)
0.0b1(+.f64 x y)
Compiler

Compiled 40 to 25 computations (37.5% saved)

regimes33.0ms (1.8%)

Accuracy

Total -48.8b remaining (-546.5%)

Threshold costs -48.8b (-546.5%)

Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 z x)
(*.f64 y z)
Outputs
(*.f64 z x)
(*.f64 y z)
Calls

3 calls:

17.0ms
z
9.0ms
x
6.0ms
y
Results
ErrorSegmentsBranch
8.9b2x
9.5b2y
19.7b6z
Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch16.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
-4.988900968877434e-127
-1.2052846523949152e-135
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
11935
Stop Event
done
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 z y) (*.f64 z x))
(*.f64 (+.f64 x y) z)
(if (<=.f64 x -1557409436726317824/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (*.f64 z x) (*.f64 y z))
(*.f64 z x)
Outputs
(+.f64 (*.f64 z y) (*.f64 z x))
(+.f64 (*.f64 z x) (*.f64 z y))
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 y x))
(if (<=.f64 x -1557409436726317824/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (*.f64 z x) (*.f64 y z))
(if (<=.f64 x -6083630612212179/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (*.f64 z x) (*.f64 z y))
(*.f64 z x)
Compiler

Compiled 37 to 23 computations (37.8% saved)

soundness0.0ms (0%)

end130.0ms (6.9%)

Remove

(sort x y)

Compiler

Compiled 48 to 23 computations (52.1% saved)

Profiling

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