Details

Time bar (total: 1.9s)

analyze190.0ms (10.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
18.8%18.7%81.1%0.1%0%0%0%8
26.2%25%70.2%0.1%4.7%0%0%9
39.7%37.4%56.9%0.1%5.5%0%0%10
47.1%44.5%49.9%0.1%5.5%0%0%11
54.9%50.3%41.3%0.1%8.2%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.1s (57.5%)

Results
1.0s8256×body256valid
42.0ms373×body256infinite
Bogosity

preprocess111.0ms (5.9%)

Algorithm
egg-herbie
Rules
447×fma-def_binary64
313×fma-neg_binary64
108×distribute-rgt-neg-in_binary64
90×cancel-sign-sub-inv_binary64
84×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
14040
27540
311040
419740
533640
668440
7144140
8165240
9170640
10170940
11170940
12170940
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(-.f64 (*.f64 (*.f64 x 3) y) z)
(-.f64 (*.f64 (*.f64 y 3) x) z)
(-.f64 (*.f64 (*.f64 z 3) y) x)
(-.f64 (*.f64 (*.f64 x 3) z) y)
Outputs
(-.f64 (*.f64 (*.f64 x 3) y) z)
(-.f64 (*.f64 x (*.f64 3 y)) z)
(fma.f64 (*.f64 x 3) y (neg.f64 z))
(fma.f64 3 (*.f64 x y) (neg.f64 z))
(-.f64 (*.f64 (*.f64 y 3) x) z)
(-.f64 (*.f64 x (*.f64 3 y)) z)
(fma.f64 (*.f64 x 3) y (neg.f64 z))
(fma.f64 3 (*.f64 x y) (neg.f64 z))
(-.f64 (*.f64 (*.f64 x 3) y) z)
(-.f64 (*.f64 (*.f64 z 3) y) x)
(fma.f64 (*.f64 3 z) y (neg.f64 x))
(-.f64 (*.f64 (*.f64 y z) 3) x)
(fma.f64 3 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y (*.f64 3 z)) x)
(-.f64 (*.f64 z (*.f64 3 y)) x)
(-.f64 (*.f64 (*.f64 x 3) z) y)
(-.f64 (*.f64 3 (*.f64 x z)) y)
(fma.f64 3 (*.f64 x z) (neg.f64 y))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify100.0ms (5.3%)

Algorithm
egg-herbie
Rules
192×fma-def_binary64
125×fma-neg_binary64
44×distribute-rgt-neg-in_binary64
37×cancel-sign-sub-inv_binary64
27×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11510
22910
34210
47610
513310
624610
742210
857910
969810
1074810
1175010
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x 3) y) z)
Outputs
(-.f64 (*.f64 (*.f64 x 3) y) z)
(-.f64 (*.f64 x (*.f64 3 y)) z)

eval1.0ms (0.1%)

Compiler

Compiled 17 to 11 computations (35.3% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(-.f64 (*.f64 (*.f64 x 3) y) z)
0.1b
(-.f64 (*.f64 x (*.f64 3 y)) z)
Compiler

Compiled 20 to 14 computations (30% saved)

localize17.0ms (0.9%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x (*.f64 3 y))
Compiler

Compiled 22 to 13 computations (40.9% saved)

series8.0ms (0.4%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@0
(*.f64 x (*.f64 3 y))
1.0ms
x
@0
(*.f64 x (*.f64 3 y))
1.0ms
x
@inf
(*.f64 x (*.f64 3 y))
1.0ms
y
@inf
(*.f64 x (*.f64 3 y))
1.0ms
y
@-inf
(*.f64 x (*.f64 3 y))

rewrite65.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
555×pow1_binary64
511×add-log-exp_binary64
511×log1p-expm1-u_binary64
511×expm1-log1p-u_binary64
501×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11217
213937
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 x (*.f64 3 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 y))))))))

simplify19.0ms (1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-*r*_binary64
associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
110168
217168
319168
Stop Event
saturated
Counts
35 → 12
Calls
Call 1
Inputs
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
Outputs
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))

localize16.0ms (0.9%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x 3) y)
Compiler

Compiled 22 to 13 computations (40.9% saved)

series3.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (*.f64 x 3) y)
1.0ms
y
@inf
(*.f64 (*.f64 x 3) y)
0.0ms
x
@inf
(*.f64 (*.f64 x 3) y)
0.0ms
x
@-inf
(*.f64 (*.f64 x 3) y)
0.0ms
y
@-inf
(*.f64 (*.f64 x 3) y)

rewrite61.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
554×pow1_binary64
510×add-log-exp_binary64
510×log1p-expm1-u_binary64
510×expm1-log1p-u_binary64
500×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11217
213917
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (*.f64 x 3) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 y))))))))

simplify14.0ms (0.7%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-*r*_binary64
associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
110168
217168
319168
Stop Event
saturated
Counts
35 → 12
Calls
Call 1
Inputs
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
Outputs
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))
(*.f64 3 (*.f64 y x))

eval6.0ms (0.3%)

Compiler

Compiled 231 to 158 computations (31.6% saved)

prune5.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New23124
Fresh000
Picked011
Done011
Total23326
Error
0b
Counts
26 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(-.f64 (*.f64 (*.f64 x 3) y) z)
0.1b
(-.f64 (*.f64 3 (*.f64 y x)) z)
0.1b
(-.f64 (*.f64 x (*.f64 3 y)) z)
Compiler

Compiled 30 to 21 computations (30% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 3 (*.f64 y x))
Compiler

Compiled 22 to 10 computations (54.5% saved)

series2.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 3 (*.f64 y x))
0.0ms
y
@inf
(*.f64 3 (*.f64 y x))
0.0ms
x
@-inf
(*.f64 3 (*.f64 y x))
0.0ms
y
@-inf
(*.f64 3 (*.f64 y x))
0.0ms
x
@inf
(*.f64 3 (*.f64 y x))

rewrite48.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
555×pow1_binary64
511×add-log-exp_binary64
511×log1p-expm1-u_binary64
511×expm1-log1p-u_binary64
501×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11217
213937
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 3 (*.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y x))))))))

simplify8.0ms (0.4%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
11 → 11
Calls
Call 1
Inputs
Outputs

eval3.0ms (0.1%)

Compiler

Compiled 110 to 67 computations (39.1% saved)

prune3.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New11011
Fresh000
Picked011
Done022
Total11314
Error
0b
Counts
14 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(-.f64 (*.f64 (*.f64 x 3) y) z)
0.1b
(-.f64 (*.f64 3 (*.f64 y x)) z)
0.1b
(-.f64 (*.f64 x (*.f64 3 y)) z)
Compiler

Compiled 30 to 21 computations (30% saved)

regimes53.0ms (2.8%)

Accuracy

Total -0.2b remaining (-168%)

Threshold costs -0.2b (-168%)

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

6 calls:

31.0ms
y
4.0ms
(*.f64 (*.f64 x 3) y)
4.0ms
(-.f64 (*.f64 (*.f64 x 3) y) z)
4.0ms
z
4.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(-.f64 (*.f64 (*.f64 x 3) y) z)
0.1b1(*.f64 (*.f64 x 3) y)
0.1b1(*.f64 x 3)
Compiler

Compiled 60 to 42 computations (30% saved)

simplify3.0ms (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
0810
11210
21710
31910
42010
Stop Event
done
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 3 (*.f64 y x)) z)
Outputs
(-.f64 (*.f64 3 (*.f64 y x)) z)
Compiler

Compiled 10 to 7 computations (30% saved)

soundness45.0ms (2.4%)

Algorithm
egg-herbie
Rules
192×fma-def_binary64
125×fma-neg_binary64
44×distribute-rgt-neg-in_binary64
37×cancel-sign-sub-inv_binary64
27×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11510
22910
34210
47610
513310
624610
742210
857910
969810
1074810
1175010
Stop Event
saturated
Compiler

Compiled 20 to 14 computations (30% saved)

end14.0ms (0.7%)

Compiler

Compiled 10 to 7 computations (30% saved)

Profiling

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