Details

Time bar (total: 1.2s)

analyze3.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.6%0.2%0.2%11
99.6%0.1%0.3%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample854.0ms (70.6%)

Results
833.0ms8205×body256valid
5.0ms27×body1024valid
3.0ms24×body512valid
0.0msbody256invalid

preprocess15.0ms (1.2%)

Algorithm
egg-herbie
Rules
fma-neg_binary64
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
1115
2135
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (*.f64 x 116) 16)
Outputs
(-.f64 (*.f64 x 116) 16)
(fma.f64 x 116 -16)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify8.0ms (0.7%)

Algorithm
egg-herbie
Rules
fma-neg_binary64
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
1115
2135
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (*.f64 x 116) 16)
Outputs
(-.f64 (*.f64 x 116) 16)
(fma.f64 x 116 -16)

eval1.0ms (0%)

Compiler

Compiled 10 to 8 computations (20% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x 116 -16)
0.0b
(-.f64 (*.f64 x 116) 16)
Compiler

Compiled 11 to 9 computations (18.2% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 x 116) 16)
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (*.f64 x 116) 16)
0.0ms
x
@0
(-.f64 (*.f64 x 116) 16)
0.0ms
x
@-inf
(-.f64 (*.f64 x 116) 16)

rewrite58.0ms (4.8%)

Algorithm
batch-egg-rewrite
Rules
644×pow1_binary64
610×add-log-exp_binary64
610×log1p-expm1-u_binary64
610×expm1-log1p-u_binary64
601×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
11365
216035
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(-.f64 (*.f64 x 116) 16)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 116) -16)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -16 (*.f64 x 116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 116 -16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 116 -16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x 116) 3) -4096) (/.f64 1 (+.f64 (pow.f64 (*.f64 x 116) 2) (+.f64 256 (*.f64 x 1856)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) -256) (/.f64 1 (fma.f64 x 116 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) (+.f64 256 (*.f64 x 1856))) (+.f64 (pow.f64 (*.f64 x 116) 3) -4096)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 116 16) (+.f64 (pow.f64 (*.f64 x 116) 2) -256)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 116) 3) -4096) (+.f64 (pow.f64 (*.f64 x 116) 2) (+.f64 256 (*.f64 x 1856))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 116) 3) -4096) (+.f64 (pow.f64 (*.f64 x 116) 2) (-.f64 256 (*.f64 (*.f64 x 116) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) -256) (fma.f64 x 116 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) -256) (-.f64 (*.f64 x 116) -16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x 116) 3) -4096)) (neg.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) (+.f64 256 (*.f64 x 1856)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x 116) 2) -256)) (neg.f64 (fma.f64 x 116 16)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 116 -16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 116 -16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 116 x -16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 116) -16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 116)) 2) (cbrt.f64 (*.f64 x 116)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 116)) (sqrt.f64 (*.f64 x 116)) -16)))))

simplify8.0ms (0.7%)

Algorithm
egg-herbie
Rules
fma-neg_binary64
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0754
11154
21354
Stop Event
saturated
Counts
44 → 35
Calls
Call 1
Inputs
-16
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
Outputs
-16
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)

localize8.0ms (0.6%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x 116 -16)
Compiler

Compiled 8 to 6 computations (25% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 x 116 -16)
0.0ms
x
@-inf
(fma.f64 x 116 -16)
0.0ms
x
@inf
(fma.f64 x 116 -16)

rewrite45.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
434×pow1_binary64
430×add-sqr-sqrt_binary64
417×*-un-lft-identity_binary64
408×add-log-exp_binary64
408×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
11025
210735
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(fma.f64 x 116 -16)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -16 (*.f64 x 116))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 116) -16)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 116 -16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 116) 1) -16)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 -16))) (cbrt.f64 (exp.f64 (fma.f64 x 116 -16))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 -16)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 116 -16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 116 -16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 116 -16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 116) 3) -4096) (fma.f64 (*.f64 x 116) (*.f64 x 116) (-.f64 256 (*.f64 (*.f64 x 116) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x 116) (*.f64 x 116) -256) (fma.f64 x 116 16))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 116 -16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 116 -16)))))))

simplify8.0ms (0.7%)

Algorithm
egg-herbie
Rules
fma-neg_binary64
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0754
11154
21354
Stop Event
saturated
Counts
36 → 28
Calls
Call 1
Inputs
-16
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
Outputs
-16
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)

eval17.0ms (1.4%)

Compiler

Compiled 572 to 480 computations (16.1% saved)

prune12.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New61263
Fresh000
Picked011
Done011
Total61465
Error
0b
Counts
65 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
30.9b
-16
0b
(fma.f64 x 116 -16)
0.0b
(-.f64 (*.f64 x 116) 16)
32.6b
(*.f64 116 x)
Compiler

Compiled 17 to 14 computations (17.6% saved)

localize3.0ms (0.2%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044
Error
0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
30.9b
-16
0b
(fma.f64 x 116 -16)
0.0b
(-.f64 (*.f64 x 116) 16)
32.6b
(*.f64 116 x)
Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
30.9b
-16
0b
(fma.f64 x 116 -16)
0.0b
(-.f64 (*.f64 x 116) 16)
32.6b
(*.f64 116 x)
Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
30.9b
-16
0b
(fma.f64 x 116 -16)
0.0b
(-.f64 (*.f64 x 116) 16)
32.6b
(*.f64 116 x)
Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes23.0ms (1.9%)

Counts
4 → 1
Calls
Call 1
Inputs
-16
(*.f64 116 x)
(-.f64 (*.f64 x 116) 16)
(fma.f64 x 116 -16)
Outputs
(fma.f64 x 116 -16)
Calls

5 calls:

8.0ms
x
5.0ms
(*.f64 x 116)
4.0ms
(*.f64 x 116)
3.0ms
(-.f64 (*.f64 x 116) 16)
3.0ms
(-.f64 (*.f64 x 116) 16)
Results
ErrorSegmentsBranch
0b1x
0b1(-.f64 (*.f64 x 116) 16)
0b1(-.f64 (*.f64 x 116) 16)
0b1(*.f64 x 116)
0b1(*.f64 x 116)
Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes11.0ms (0.9%)

Counts
3 → 1
Calls
Call 1
Inputs
-16
(*.f64 116 x)
(-.f64 (*.f64 x 116) 16)
Outputs
(-.f64 (*.f64 x 116) 16)
Calls

3 calls:

4.0ms
(*.f64 x 116)
4.0ms
x
3.0ms
(-.f64 (*.f64 x 116) 16)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(-.f64 (*.f64 x 116) 16)
0.0b1(*.f64 x 116)
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes10.0ms (0.8%)

Accuracy

Total -60.1b remaining (-3539.1%)

Threshold costs -60.1b (-3539.1%)

Counts
2 → 3
Calls
Call 1
Inputs
-16
(*.f64 116 x)
Outputs
(*.f64 116 x)
-16
(*.f64 116 x)
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
1.7b3x
Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch48.0ms (3.9%)

Algorithm
binary-search
Steps
TimeLeftRight
34.0ms
0.10266196555053207
780016502182.3667
13.0ms
-0.8676585674290122
-1.3233892757447837e-7
Compiler

Compiled 10 to 8 computations (20% saved)

simplify4.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01634
12034
22134
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 x 116 -16)
(-.f64 (*.f64 x 116) 16)
(if (<=.f64 x -16005475536724449280/18446744073709551616) (*.f64 116 x) (if (<=.f64 x 1893779004614651648/18446744073709551616) -16 (*.f64 116 x)))
-16
Outputs
(fma.f64 x 116 -16)
(-.f64 (*.f64 x 116) 16)
(+.f64 (*.f64 x 116) -16)
(+.f64 -16 (*.f64 x 116))
(if (<=.f64 x -16005475536724449280/18446744073709551616) (*.f64 116 x) (if (<=.f64 x 1893779004614651648/18446744073709551616) -16 (*.f64 116 x)))
(if (<=.f64 x -7815173601916235/9007199254740992) (*.f64 x 116) (if (<=.f64 x 7397574236775983/72057594037927936) -16 (*.f64 x 116)))
-16
Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness8.0ms (0.7%)

Algorithm
egg-herbie
Rules
fma-neg_binary64
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
1115
2135
Stop Event
saturated
Compiler

Compiled 17 to 14 computations (17.6% saved)

end50.0ms (4.1%)

Compiler

Compiled 26 to 20 computations (23.1% saved)

Profiling

Loading profile data...