Details

Time bar (total: 7.2s)

analyze9.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 12 to 9 computations (25% saved)

sample6.1s (84.6%)

Results
3.7s4153×body1024valid
1.1s2115×body512valid
674.0ms1583×body256valid
510.0ms405×body2048valid
Bogosity

preprocess8.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(acos.f64 (-.f64 1 x))
Outputs
(acos.f64 (-.f64 1 x))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify25.0ms (0.4%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
Outputs
(acos.f64 (-.f64 1 x))

eval1.0ms (0%)

Compiler

Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
58.8b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
58.8b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 5 to 4 computations (20% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
5.0b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 10 to 7 computations (30% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(acos.f64 (-.f64 1 x))
0.0ms
x
@0
(acos.f64 (-.f64 1 x))
0.0ms
x
@inf
(acos.f64 (-.f64 1 x))

rewrite190.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1248×rational_best-1
1246×rational_best-4
1246×rational_best-2
1246×rational_best-3
1246×exponential-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
14311
27911
319911
464011
5353511
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (acos.f64 (-.f64 1 x)) 4) (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (/.f64 (acos.f64 (-.f64 1 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (acos.f64 (-.f64 1 x)) 4) (/.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 3) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (acos.f64 (-.f64 1 x)) 4) (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (/.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 (acos.f64 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 3) 1/2) 2) (/.f64 (acos.f64 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) 3) 4) (/.f64 (acos.f64 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (/.f64 (acos.f64 (-.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (/.f64 (acos.f64 (-.f64 1 x)) 4)) (neg.f64 (/.f64 (acos.f64 (-.f64 1 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 3) 1/2) 2) (/.f64 (/.f64 (acos.f64 (-.f64 1 x)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) 3) 4) (/.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (acos.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (-.f64 1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (acos.f64 (-.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (acos.f64 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 4) 4) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (acos.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (acos.f64 (-.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 4) 4) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (acos.f64 (-.f64 1 x))))))))

simplify816.0ms (11.3%)

Algorithm
egg-herbie
Rules
1002×rational_best-simplify-3
988×rational_best-simplify-1
704×rational_best-simplify-63
702×rational_best-simplify-85
696×rational_best-simplify-64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076475
1147467
2401467
31748467
45747467
57703467
Stop Event
node limit
Counts
41 → 40
Calls
Call 1
Inputs
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(+.f64 (/.f64 (acos.f64 (-.f64 1 x)) 4) (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (/.f64 (acos.f64 (-.f64 1 x)) 4)))
(+.f64 (/.f64 (acos.f64 (-.f64 1 x)) 4) (/.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 3) 1/2) 2))
(+.f64 (/.f64 (acos.f64 (-.f64 1 x)) 4) (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) 3) 4))
(+.f64 (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (/.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 (acos.f64 (-.f64 1 x)) 4))
(+.f64 (/.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 3) 1/2) 2) (/.f64 (acos.f64 (-.f64 1 x)) 4))
(+.f64 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) 3) 4) (/.f64 (acos.f64 (-.f64 1 x)) 4))
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(-.f64 0 (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (/.f64 (acos.f64 (-.f64 1 x)) -2))
(-.f64 (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (/.f64 (acos.f64 (-.f64 1 x)) 4)) (neg.f64 (/.f64 (acos.f64 (-.f64 1 x)) 4)))
(-.f64 (/.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 3) 1/2) 2) (/.f64 (/.f64 (acos.f64 (-.f64 1 x)) -2) 2))
(-.f64 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) 3) 4) (/.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 4))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(*.f64 1/2 (*.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (neg.f64 (acos.f64 (-.f64 1 x))) -1)
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 4) 1/4)
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 2)
(*.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 1/4))
(*.f64 -2 (/.f64 (acos.f64 (-.f64 1 x)) -2))
(*.f64 1/4 (*.f64 (acos.f64 (-.f64 1 x)) 4))
(*.f64 (*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) 4)) 1/8)
(*.f64 1/8 (*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) 4)))
(*.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 4) 4) 1/16)
(/.f64 (acos.f64 (-.f64 1 x)) 1)
(/.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2) 2)
(/.f64 (neg.f64 (acos.f64 (-.f64 1 x))) -1)
(/.f64 (*.f64 (acos.f64 (-.f64 1 x)) 4) 4)
(/.f64 (*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) 4)) 8)
(/.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 4) 4) 16)
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(neg.f64 (neg.f64 (acos.f64 (-.f64 1 x))))
Outputs
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (neg.f64 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (neg.f64 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (neg.f64 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (neg.f64 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(acos.f64 (-.f64 1 x))
(+.f64 (/.f64 (acos.f64 (-.f64 1 x)) 4) (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (/.f64 (acos.f64 (-.f64 1 x)) 4)))
(acos.f64 (-.f64 1 x))
(+.f64 (/.f64 (acos.f64 (-.f64 1 x)) 4) (/.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 3) 1/2) 2))
(acos.f64 (-.f64 1 x))
(+.f64 (/.f64 (acos.f64 (-.f64 1 x)) 4) (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) 3) 4))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (/.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 (acos.f64 (-.f64 1 x)) 4))
(acos.f64 (-.f64 1 x))
(+.f64 (/.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 3) 1/2) 2) (/.f64 (acos.f64 (-.f64 1 x)) 4))
(acos.f64 (-.f64 1 x))
(+.f64 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) 3) 4) (/.f64 (acos.f64 (-.f64 1 x)) 4))
(acos.f64 (-.f64 1 x))
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(-.f64 0 (neg.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (/.f64 (acos.f64 (-.f64 1 x)) -2))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) (/.f64 (acos.f64 (-.f64 1 x)) 4)) (neg.f64 (/.f64 (acos.f64 (-.f64 1 x)) 4)))
(acos.f64 (-.f64 1 x))
(-.f64 (/.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 3) 1/2) 2) (/.f64 (/.f64 (acos.f64 (-.f64 1 x)) -2) 2))
(acos.f64 (-.f64 1 x))
(-.f64 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) 3) 4) (/.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 4))
(acos.f64 (-.f64 1 x))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(acos.f64 (-.f64 1 x))
(*.f64 1/2 (*.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(*.f64 (neg.f64 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 4) 1/4)
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 2)
(acos.f64 (-.f64 1 x))
(*.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 1/4))
(acos.f64 (-.f64 1 x))
(*.f64 -2 (/.f64 (acos.f64 (-.f64 1 x)) -2))
(acos.f64 (-.f64 1 x))
(*.f64 1/4 (*.f64 (acos.f64 (-.f64 1 x)) 4))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) 4)) 1/8)
(acos.f64 (-.f64 1 x))
(*.f64 1/8 (*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) 4)))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 4) 4) 1/16)
(acos.f64 (-.f64 1 x))
(/.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(/.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2) 2)
(acos.f64 (-.f64 1 x))
(/.f64 (neg.f64 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
(/.f64 (*.f64 (acos.f64 (-.f64 1 x)) 4) 4)
(acos.f64 (-.f64 1 x))
(/.f64 (*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) 4)) 8)
(acos.f64 (-.f64 1 x))
(/.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 4) 4) 16)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(neg.f64 (neg.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))

eval16.0ms (0.2%)

Compiler

Compiled 401 to 347 computations (13.5% saved)

prune9.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New40040
Fresh000
Picked011
Done000
Total40141
Error
58.8b
Counts
41 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
58.8b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
Stop Event
done
saturated
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
Outputs
(acos.f64 (-.f64 1 x))
Compiler

Compiled 5 to 4 computations (20% saved)

soundness0.0ms (0%)

end18.0ms (0.3%)

Compiler

Compiled 5 to 4 computations (20% saved)

Profiling

Loading profile data...