Details

Time bar (total: 10.0s)

analyze278.0ms (2.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%50%0%4
50%50%0%5
50%50%0%6
50%50%0%7
50%50%0%8
50%50%0%9
50%50%0%10
50%50%0%11
50%49.9%0%12
Compiler

Compiled 31 to 27 computations (12.9% saved)

sample1.2s (12.1%)

Results
1.2s8256×body256valid

preprocess88.0ms (0.9%)

Algorithm
egg-herbie
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
Outputs
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
(+.f64 1 (/.f64 1 (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))))
Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify36.0ms (0.4%)

Algorithm
egg-herbie
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
Outputs
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
(+.f64 1 (/.f64 1 (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))))

eval1.0ms (0%)

Compiler

Compiled 49 to 43 computations (12.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
Compiler

Compiled 30 to 26 computations (13.3% saved)

localize52.0ms (0.5%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
0.0b
(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0.0b
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
0.0b
(+.f64 1 (/.f64 1 t))
0.0b
(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
0.0b
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
2.7b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Compiler

Compiled 139 to 115 computations (17.3% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
t
@0
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0.0ms
t
@inf
(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0.0ms
t
@inf
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
0.0ms
t
@inf
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0.0ms
t
@-inf
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite103.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
65×egg-rr
53×egg-rr
47×egg-rr
35×egg-rr
Counts
4 → 200
Calls
Call 1
Inputs
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
Outputs
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(+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 0 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) (neg.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) (neg.f64 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) (neg.f64 1/3)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) (neg.f64 1/3)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) 3) (neg.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) -3))))))

simplify248.0ms (2.5%)

Algorithm
egg-herbie
Counts
248 → 257
Calls
Call 1
Inputs
(*.f64 2 t)
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (+.f64 (*.f64 -2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(*.f64 4 (pow.f64 t 2))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
1/2
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2)
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (*.f64 2 (pow.f64 t 3))))
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 -1 (pow.f64 t 4)))))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
Outputs
(*.f64 2 t)
(*.f64 t 2)
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (*.f64 -2 (*.f64 t t)))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
(fma.f64 2 t (fma.f64 (pow.f64 t 3) 2 (*.f64 -2 (*.f64 t t))))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (+.f64 (*.f64 -2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 3)))))
(fma.f64 2 t (+.f64 (*.f64 -2 (fma.f64 t t (pow.f64 t 4))) (*.f64 2 (pow.f64 t 3))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(+.f64 (fma.f64 (pow.f64 t -2) 2 2) (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(+.f64 2 (*.f64 2 (-.f64 (pow.f64 t -2) (+.f64 (pow.f64 t -3) (/.f64 1 t)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(+.f64 (fma.f64 (pow.f64 t -2) 2 2) (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(+.f64 2 (*.f64 2 (-.f64 (pow.f64 t -2) (+.f64 (pow.f64 t -3) (/.f64 1 t)))))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 (pow.f64 t 5) -16 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 (fma.f64 12 (pow.f64 t -2) 4) (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (fma.f64 12 (pow.f64 t -2) 4) (fma.f64 16 (pow.f64 t -3) (/.f64 8 t)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 (fma.f64 12 (pow.f64 t -2) 4) (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (fma.f64 12 (pow.f64 t -2) 4) (fma.f64 16 (pow.f64 t -3) (/.f64 8 t)))
1/2
(+.f64 1/2 (pow.f64 t 2))
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(+.f64 (fma.f64 -2 (pow.f64 t 3) 1/2) (fma.f64 t t (pow.f64 t 4)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6) (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(fma.f64 1/27 (pow.f64 t -2) (+.f64 (fma.f64 (pow.f64 t -3) 4/81 5/6) (/.f64 -2/9 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6) (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(fma.f64 1/27 (pow.f64 t -2) (+.f64 (fma.f64 (pow.f64 t -3) 4/81 5/6) (/.f64 -2/9 t)))
1/2
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2)
(-.f64 1/2 (*.f64 t t))
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (*.f64 2 (pow.f64 t 3))))
(-.f64 (fma.f64 (pow.f64 t 3) 2 1/2) (*.f64 t t))
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 -1 (pow.f64 t 4)))))
(-.f64 (-.f64 (fma.f64 (pow.f64 t 3) 2 1/2) (pow.f64 t 4)) (*.f64 t t))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.f64 2/9 t))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 1/6 (/.f64 2/9 t)) (fma.f64 (pow.f64 t -3) 4/81 (/.f64 1/27 (*.f64 t t))))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.f64 2/9 t))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 1/6 (/.f64 2/9 t)) (fma.f64 (pow.f64 t -3) 4/81 (/.f64 1/27 (*.f64 t t))))

eval223.0ms (2.2%)

Compiler

Compiled 11441 to 9809 computations (14.3% saved)

prune44.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3289337
Fresh000
Picked011
Done000
Total32810338
Error
0b
Counts
338 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
29.6b
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
0.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
33.1b
(+.f64 5/6 (/.f64 -2/9 t))
33.3b
(-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t))))
27.7b
5/6
24.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
24.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t)))))
0.0b
(-.f64 1 (/.f64 1 (+.f64 2 (pow.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 6) 1/3))))
24.5b
1/2
0b
(/.f64 (+.f64 (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) 1) (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)))
Compiler

Compiled 270 to 232 computations (14.1% saved)

localize42.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
2.7b
(+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1)))
0.0b
(pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)
0.0b
(/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))
0.0b
(+.f64 (/.f64 -1 t) -1)
0.0b
(+.f64 (/.f64 -1 t) -1)
0.0b
(/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))
0.0b
(pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)
2.7b
(+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1)))
Compiler

Compiled 115 to 97 computations (15.7% saved)

series4.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
t
@inf
(/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))
0.0ms
t
@0
(+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1)))
0.0ms
t
@0
(+.f64 (/.f64 -1 t) -1)
0.0ms
t
@inf
(+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1)))
0.0ms
t
@-inf
(+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1)))

rewrite74.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
85×egg-rr
69×egg-rr
68×egg-rr
50×egg-rr
Counts
4 → 272
Calls
Call 1
Inputs
(+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1)))
(pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)
(/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))
(+.f64 (/.f64 -1 t) -1)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 t (/.f64 (-.f64 -1 t) t)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (neg.f64 t) (/.f64 (-.f64 -1 t) t)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 2 t) (cbrt.f64 (/.f64 (-.f64 -1 t) t)))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 2 t) (/.f64 (-.f64 -1 t) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 2 t) (/.f64 (-.f64 -1 t) t))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 2 t) (/.f64 (-.f64 -1 t) t))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 2 t) (/.f64 (-.f64 -1 t) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 2 t) (/.f64 (-.f64 -1 t) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 2 t) (/.f64 (-.f64 -1 t) t)) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 -1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 t) t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 t) t) (*.f64 (/.f64 (-.f64 -1 t) t) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 -1 t) t) 0) (/.f64 (-.f64 -1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 t) t) (*.f64 0 (/.f64 (-.f64 -1 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (-.f64 -1 t) t)) (/.f64 (-.f64 -1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 -1 t) t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 (pow.f64 t -3)) (+.f64 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-1 t))) (neg.f64 (cbrt.f64 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 t) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 t) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 t) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 t) t)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 t) t)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 t 1) t))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 t) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 t) t) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1 t)) (cbrt.f64 (pow.f64 t -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 t)) (neg.f64 (cbrt.f64 (pow.f64 t -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 t -2)) (cbrt.f64 (/.f64 -1 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 0 (/.f64 (-.f64 -1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (/.f64 (-.f64 -1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (/.f64 (-.f64 -1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 1 (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 -1 (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 t) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (/.f64 (-.f64 -1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (/.f64 (-.f64 -1 t) t))))))

simplify241.0ms (2.4%)

Algorithm
egg-herbie
Counts
320 → 318
Calls
Call 1
Inputs
(*.f64 2 t)
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (+.f64 (*.f64 -2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(*.f64 4 (pow.f64 t 2))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
-2
(-.f64 (*.f64 2 t) 2)
(-.f64 (+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2))) 2)
(-.f64 (+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))) 2)
(/.f64 -2 t)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 t)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(/.f64 -2 t)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 t)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(/.f64 -1 t)
(neg.f64 (+.f64 1 (/.f64 1 t)))
(neg.f64 (+.f64 1 (/.f64 1 t)))
(neg.f64 (+.f64 1 (/.f64 1 t)))
-1
(neg.f64 (+.f64 1 (/.f64 1 t)))
(neg.f64 (+.f64 1 (/.f64 1 t)))
(neg.f64 (+.f64 1 (/.f64 1 t)))
-1
(neg.f64 (+.f64 1 (/.f64 1 t)))
(neg.f64 (+.f64 1 (/.f64 1 t)))
(neg.f64 (+.f64 1 (/.f64 1 t)))
Outputs
(*.f64 2 t)
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (*.f64 -2 (*.f64 t t)))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
(fma.f64 t 2 (fma.f64 (pow.f64 t 3) 2 (*.f64 -2 (*.f64 t t))))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (+.f64 (*.f64 -2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 3)))))
(fma.f64 2 t (+.f64 (*.f64 -2 (+.f64 (*.f64 t t) (pow.f64 t 4))) (*.f64 2 (pow.f64 t 3))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(+.f64 (fma.f64 2 (pow.f64 t -2) 2) (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(+.f64 2 (*.f64 2 (-.f64 (pow.f64 t -2) (+.f64 (pow.f64 t -3) (/.f64 1 t)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(+.f64 (fma.f64 2 (pow.f64 t -2) 2) (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(+.f64 2 (*.f64 2 (-.f64 (pow.f64 t -2) (+.f64 (pow.f64 t -3) (/.f64 1 t)))))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 (pow.f64 t 5) -16 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 (fma.f64 12 (pow.f64 t -2) 4) (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (fma.f64 12 (pow.f64 t -2) 4) (fma.f64 16 (pow.f64 t -3) (/.f64 8 t)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 (fma.f64 12 (pow.f64 t -2) 4) (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (fma.f64 12 (pow.f64 t -2) 4) (fma.f64 16 (pow.f64 t -3) (/.f64 8 t)))
-2
(-.f64 (*.f64 2 t) 2)
(fma.f64 2 t -2)
(-.f64 (+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2))) 2)
(fma.f64 t 2 (fma.f64 -2 (*.f64 t t) -2))
(-.f64 (+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))) 2)
(+.f64 (fma.f64 (pow.f64 t 3) 2 (*.f64 -2 (*.f64 t t))) (fma.f64 2 t -2))
(/.f64 -2 t)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 t)))
(fma.f64 2 (pow.f64 t -2) (/.f64 -2 t))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(*.f64 2 (-.f64 (pow.f64 t -2) (+.f64 (pow.f64 t -3) (/.f64 1 t))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(*.f64 2 (-.f64 (+.f64 (pow.f64 t -4) (pow.f64 t -2)) (+.f64 (pow.f64 t -3) (/.f64 1 t))))
(/.f64 -2 t)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 t)))
(fma.f64 2 (pow.f64 t -2) (/.f64 -2 t))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(*.f64 2 (-.f64 (pow.f64 t -2) (+.f64 (pow.f64 t -3) (/.f64 1 t))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(*.f64 2 (-.f64 (+.f64 (pow.f64 t -4) (pow.f64 t -2)) (+.f64 (pow.f64 t -3) (/.f64 1 t))))
(/.f64 -1 t)
(neg.f64 (+.f64 1 (/.f64 1 t)))
(+.f64 -1 (/.f64 -1 t))
(neg.f64 (+.f64 1 (/.f64 1 t)))
(+.f64 -1 (/.f64 -1 t))
(neg.f64 (+.f64 1 (/.f64 1 t)))
(+.f64 -1 (/.f64 -1 t))
-1
(neg.f64 (+.f64 1 (/.f64 1 t)))
(+.f64 -1 (/.f64 -1 t))
(neg.f64 (+.f64 1 (/.f64 1 t)))
(+.f64 -1 (/.f64 -1 t))
(neg.f64 (+.f64 1 (/.f64 1 t)))
(+.f64 -1 (/.f64 -1 t))
-1
(neg.f64 (+.f64 1 (/.f64 1 t)))
(+.f64 -1 (/.f64 -1 t))
(neg.f64 (+.f64 1 (/.f64 1 t)))
(+.f64 -1 (/.f64 -1 t))
(neg.f64 (+.f64 1 (/.f64 1 t)))
(+.f64 -1 (/.f64 -1 t))

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 -2/9 t)
0.0b
(+.f64 5/6 (/.f64 -2/9 t))
0.0b
(+.f64 5/6 (/.f64 -2/9 t))
0.3b
(/.f64 -2/9 t)
Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
t
@-inf
(/.f64 -2/9 t)
0.0ms
t
@0
(/.f64 -2/9 t)
0.0ms
t
@inf
(/.f64 -2/9 t)
0.0ms
t
@0
(+.f64 5/6 (/.f64 -2/9 t))
0.0ms
t
@inf
(+.f64 5/6 (/.f64 -2/9 t))

rewrite42.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
71×egg-rr
57×egg-rr
Counts
2 → 128
Calls
Call 1
Inputs
(/.f64 -2/9 t)
(+.f64 5/6 (/.f64 -2/9 t))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 5/6 (/.f64 -2/9 t)) (*.f64 (+.f64 5/6 (/.f64 -2/9 t)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 5/6 (/.f64 -2/9 t)) 0) (+.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 5/6 (/.f64 -2/9 t)) (*.f64 0 (+.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (+.f64 5/6 (/.f64 -2/9 t))) (+.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5/6 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 5/6 (/.f64 2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) (cbrt.f64 (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 2)) (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -5/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -5/6 (/.f64 2/9 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216)) (/.f64 1 (+.f64 (neg.f64 25/36) (/.f64 (-.f64 -5/27 (/.f64 4/81 t)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t)))) (/.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216) (pow.f64 (cbrt.f64 (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216)) 1) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216)) 2) (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t)) (cbrt.f64 (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t)))) (/.f64 (+.f64 5/6 (/.f64 -2/9 t)) (pow.f64 (cbrt.f64 (+.f64 25/36 (/.f64 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(/.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1953125/10077696 (pow.f64 (pow.f64 (/.f64 -2/9 t) 3) 3)) (/.f64 1 (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t)))) (-.f64 (+.f64 15625/46656 (pow.f64 (/.f64 -2/9 t) 6)) (pow.f64 (/.f64 -5/27 t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216) (cbrt.f64 (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t)))) (pow.f64 (cbrt.f64 (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216)) 1) (*.f64 (+.f64 (neg.f64 25/36) (/.f64 (-.f64 -5/27 (/.f64 4/81 t)) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1953125/10077696 (pow.f64 (pow.f64 (/.f64 -2/9 t) 3) 3)) 1) (*.f64 (-.f64 (+.f64 15625/46656 (pow.f64 (/.f64 -2/9 t) 6)) (pow.f64 (/.f64 -5/27 t) 3)) (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216) (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216)) (+.f64 (neg.f64 25/36) (/.f64 (-.f64 -5/27 (/.f64 4/81 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 5/6 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 2)) (cbrt.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216))) (cbrt.f64 (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216)) (cbrt.f64 (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 2))) (cbrt.f64 (+.f64 25/36 (/.f64 (-.f64 (/.f64 4/81 t) -5/27) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216)) 1) (+.f64 (neg.f64 25/36) (/.f64 (-.f64 -5/27 (/.f64 4/81 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -5/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 -8/729 (pow.f64 t -3) 125/216) (+.f64 (neg.f64 25/36) (/.f64 (-.f64 -5/27 (/.f64 4/81 t)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 5/6) (cbrt.f64 25/36) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 5/6) (sqrt.f64 5/6) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 5/6)) (neg.f64 (sqrt.f64 5/6)) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 25/36) (cbrt.f64 5/6) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -5/6 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 5/6 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -2/9) (/.f64 (cbrt.f64 4/81) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/9 t) 1 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -2/9 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 t)) (cbrt.f64 (/.f64 -8/729 (*.f64 t t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 -1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5/6 1 (/.f64 -2/9 t))))))

simplify75.0ms (0.7%)

Algorithm
egg-herbie
Counts
140 → 130
Calls
Call 1
Inputs
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
Outputs
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 -2/9 t))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
0.0b
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
t
@inf
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
0.0ms
t
@0
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
0.0ms
t
@-inf
(-.f64 1 (-.f64 1/2 (*.f64 t t)))

rewrite40.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
106×egg-rr
Counts
1 → 106
Calls
Call 1
Inputs
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t t 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t t 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (fma.f64 t t 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t t -1) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 t t 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/8 (fma.f64 (*.f64 t t) (fma.f64 t t 1/2) 1/4))) (/.f64 (pow.f64 t 6) (fma.f64 (*.f64 t t) (fma.f64 t t 1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t t 1/2) (*.f64 (fma.f64 t t 1/2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 t t 1/2) 0) (fma.f64 t t 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t t 1/2) (*.f64 0 (fma.f64 t t 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (fma.f64 t t 1/2)) (fma.f64 t t 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 (fma.f64 t (neg.f64 t) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (neg.f64 (fma.f64 t (neg.f64 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1)) (neg.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 t) t 1/2) 3) (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 t t -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t t) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t t -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 t t -1/2) 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (fma.f64 t t -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 t t) 0) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1)) (/.f64 (pow.f64 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(fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1) 1) (/.f64 (fma.f64 t t 1/2) (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1))) (/.f64 (+.f64 1 (pow.f64 (fma.f64 t t -1/2) 3)) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 t 4)) (-.f64 (cbrt.f64 1/4) (cbrt.f64 (*.f64 1/2 (*.f64 t t))))) (+.f64 (cbrt.f64 (*.f64 t t)) (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 1/4) (-.f64 (cbrt.f64 (pow.f64 t 4)) (cbrt.f64 (*.f64 1/2 (*.f64 t t))))) (+.f64 (cbrt.f64 1/2) (cbrt.f64 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 t t -1/2) 2)) (cbrt.f64 (fma.f64 (neg.f64 t) t 1/2)))) (-.f64 1 (cbrt.f64 (fma.f64 (neg.f64 t) t 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (fma.f64 t t -1/2) 3)) (/.f64 1 (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 t t 1/2)) (cbrt.f64 (pow.f64 (fma.f64 t t 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 t t 1/2) 2)) (cbrt.f64 (fma.f64 t t 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 t t 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 t t 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 t t 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1)) (+.f64 1 (pow.f64 (fma.f64 t t -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 t t 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (fma.f64 (neg.f64 t) t 1/2) 3)) (/.f64 1 (neg.f64 (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (fma.f64 t t 1/2))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 t t 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 (neg.f64 t) t 1/2) 3) 3)) (/.f64 1 (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1))) (+.f64 1 (-.f64 (pow.f64 (fma.f64 (neg.f64 t) t 1/2) 6) (pow.f64 (fma.f64 t t -1/2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 t t -1/2) 3)) (cbrt.f64 (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1))) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 t 6)) (+.f64 (pow.f64 t 4) (-.f64 1/4 (*.f64 1/2 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (neg.f64 (pow.f64 t 6))) (+.f64 1/4 (*.f64 (*.f64 t t) (fma.f64 t t -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1) (*.f64 (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1) (pow.f64 (fma.f64 (neg.f64 t) t 1/2) 3))) (*.f64 (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1) (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 (neg.f64 t) t 1/2) 3) 3)) 1) (*.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 (neg.f64 t) t 1/2) 6) (pow.f64 (fma.f64 t t -1/2) 3))) (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (pow.f64 t 6))) (neg.f64 (+.f64 1/4 (*.f64 (*.f64 t t) (fma.f64 t t -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 t 6)) (+.f64 1/4 (*.f64 (*.f64 t t) (fma.f64 t t -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 t t -1/2) 3)) (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (fma.f64 (neg.f64 t) t 1/2) 3)) (neg.f64 (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 t t 1/2) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 t t -1/2) 3)))) (cbrt.f64 (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 t t 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 t t -1/2) 3))) (cbrt.f64 (pow.f64 (fma.f64 t t 1/2) 2))) (cbrt.f64 (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 (neg.f64 t) t 1/2) 3)) 1) (neg.f64 (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (pow.f64 t 6)) 1) (+.f64 1/4 (*.f64 (*.f64 t t) (fma.f64 t t -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 t t -1/2) 3)) 1) (fma.f64 (fma.f64 (neg.f64 t) t 1/2) (-.f64 3/2 (*.f64 t t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t t 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 t t 1/2)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 t t 1/2)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 t t 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 t t 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 t t 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (*.f64 t t)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 t t 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -1 (fma.f64 t t -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/2) (cbrt.f64 1/4) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/2) (sqrt.f64 1/2) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -1 (sqrt.f64 1/2)) (-.f64 -1 (sqrt.f64 1/2)) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/4) (cbrt.f64 1/2) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2)) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -1/2 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 0 (fma.f64 t t 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (fma.f64 t t 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (fma.f64 t t 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (fma.f64 t t -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1/2 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 1 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t t 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 t t)) (cbrt.f64 (pow.f64 t 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 t 4)) (cbrt.f64 (*.f64 t t)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 t) (*.f64 (cbrt.f64 (*.f64 t t)) t) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 (*.f64 t t)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 t) (neg.f64 t) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 t t) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t t) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 1/2) t) (-.f64 t (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (fma.f64 (neg.f64 t) t 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (neg.f64 t) t 1/2)) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 t t -1/2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 t t -1/2)) (cbrt.f64 (pow.f64 (fma.f64 t t -1/2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 t t -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (fma.f64 t t 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (fma.f64 t t 1/2))))))

simplify72.0ms (0.7%)

Algorithm
egg-herbie
Counts
118 → 110
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (pow.f64 t 2))
(pow.f64 t 2)
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (pow.f64 t 2))
(pow.f64 t 2)
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (pow.f64 t 2))
Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(fma.f64 t t 1/2)
(+.f64 1/2 (pow.f64 t 2))
(fma.f64 t t 1/2)
(+.f64 1/2 (pow.f64 t 2))
(fma.f64 t t 1/2)
(pow.f64 t 2)
(*.f64 t t)
(+.f64 1/2 (pow.f64 t 2))
(fma.f64 t t 1/2)
(+.f64 1/2 (pow.f64 t 2))
(fma.f64 t t 1/2)
(+.f64 1/2 (pow.f64 t 2))
(fma.f64 t t 1/2)
(pow.f64 t 2)
(*.f64 t t)
(+.f64 1/2 (pow.f64 t 2))
(fma.f64 t t 1/2)
(+.f64 1/2 (pow.f64 t 2))
(fma.f64 t t 1/2)
(+.f64 1/2 (pow.f64 t 2))
(fma.f64 t t 1/2)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.8b
(/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t))))
0.0b
(*.f64 4 (*.f64 t t))
0.0b
(*.f64 4 (*.f64 t t))
0.8b
(/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t))))
Compiler

Compiled 40 to 25 computations (37.5% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
t
@-inf
(*.f64 4 (*.f64 t t))
1.0ms
t
@0
(*.f64 4 (*.f64 t t))
1.0ms
t
@inf
(/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t))))
0.0ms
t
@0
(/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t))))
0.0ms
t
@inf
(*.f64 4 (*.f64 t t))

rewrite39.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
51×egg-rr
43×egg-rr
Counts
2 → 94
Calls
Call 1
Inputs
(/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t))))
(*.f64 4 (*.f64 t t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)) 0) (/.f64 1 (fma.f64 (*.f64 t t) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)) (*.f64 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1 (fma.f64 (*.f64 t t) 4 2))) (/.f64 1 (fma.f64 (*.f64 t t) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)) (*.f64 0 (/.f64 1 (fma.f64 (*.f64 t t) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1 (fma.f64 (*.f64 t t) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 (*.f64 t t) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 (*.f64 t t) 4 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (pow.f64 t 6) 64 8)) (/.f64 1 (/.f64 1 (fma.f64 (pow.f64 t 4) 16 (-.f64 4 (*.f64 8 (*.f64 t t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 (pow.f64 t 6) 64 8)) (/.f64 -1 (/.f64 1 (fma.f64 (pow.f64 t 4) 16 (-.f64 4 (*.f64 8 (*.f64 t t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) (neg.f64 1/3))) (cbrt.f64 (fma.f64 (*.f64 t t) 4 2))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2))) (cbrt.f64 (fma.f64 (*.f64 t t) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) (neg.f64 1/3)) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 t t) 4 2))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) (neg.f64 1/3))) 1) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2))) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) (neg.f64 1/3)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2)) (pow.f64 (fma.f64 (*.f64 t t) 4 2) (neg.f64 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (*.f64 t t) 4 2))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2))) (cbrt.f64 (/.f64 -1 (fma.f64 (*.f64 t t) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 t t) 4 2))) 2)) (/.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) (neg.f64 1/3)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 t t) 4 2))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) (neg.f64 1/3)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 t t) 4 2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 t t) 4 2))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 0 (+.f64 -2 (*.f64 -4 (*.f64 t t)))) (+.f64 -2 (*.f64 -4 (*.f64 t t)))) (*.f64 (+.f64 -2 (*.f64 -4 (*.f64 t t))) (+.f64 -2 (*.f64 -4 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (+.f64 -2 (*.f64 -4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) (neg.f64 1/3)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fma.f64 (*.f64 t t) 4 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (*.f64 t t) 4 2))) -1) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2)) (cbrt.f64 (fma.f64 (*.f64 t t) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2)) -1) (cbrt.f64 (+.f64 -2 (*.f64 -4 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2))) (cbrt.f64 (+.f64 -2 (*.f64 -4 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (fma.f64 (pow.f64 t 6) 64 8)) (/.f64 1 (fma.f64 (pow.f64 t 4) 16 (-.f64 4 (*.f64 8 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (*.f64 t t) 4 2))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) (neg.f64 1/3)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) (neg.f64 1/3)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) (neg.f64 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 t t) 4 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) 3) (neg.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) 4 2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (fma.f64 (*.f64 t t) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 4 (*.f64 t t)) 0) (*.f64 4 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (*.f64 t t)) (*.f64 (*.f64 4 (*.f64 t t)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t t) 3) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t t) (*.f64 (*.f64 t t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 t t) 2) 1) (*.f64 (*.f64 (*.f64 t t) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 4 (*.f64 t t))) (*.f64 4 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (*.f64 t t)) (*.f64 0 (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 t t)) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t t) (*.f64 3 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t t) 2) (*.f64 (*.f64 t t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (*.f64 t t))) (cbrt.f64 (*.f64 (pow.f64 t 4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 t 4) 16)) (cbrt.f64 (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t t) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 16) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t t)) (*.f64 (cbrt.f64 (pow.f64 t 4)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 t t) (+.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 t) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 4 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 4 t) (cbrt.f64 t)) (cbrt.f64 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t t) (cbrt.f64 4)) (cbrt.f64 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 64 (*.f64 t t))) (cbrt.f64 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -4 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 t 4)) (cbrt.f64 (*.f64 64 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -4 (*.f64 t t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t t)) (*.f64 (*.f64 4 t) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 t 4)) 4) (cbrt.f64 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 16) (*.f64 (*.f64 t t) (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 16) (*.f64 t t)) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 t) (*.f64 -2 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (neg.f64 t)) (*.f64 2 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (neg.f64 t)) (*.f64 -2 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (+.f64 t t)) (*.f64 -1 (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 t) 2) (*.f64 (neg.f64 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t -2) (*.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 t) -2) (*.f64 (neg.f64 t) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 t t) 1) (*.f64 (+.f64 t t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 t t) -1) (*.f64 (+.f64 t t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t t) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 t t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (*.f64 t t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 t 6) 64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (*.f64 t t))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (*.f64 t t))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 t t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -4 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 6) 64))))))

simplify116.0ms (1.2%)

Algorithm
egg-herbie
Counts
118 → 110
Calls
Call 1
Inputs
1/2
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2)
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (*.f64 2 (pow.f64 t 4))))
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 4)) (*.f64 -4 (pow.f64 t 6)))))
(/.f64 1/4 (pow.f64 t 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 8))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))))
(/.f64 1/4 (pow.f64 t 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 8))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
Outputs
1/2
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2)
(-.f64 1/2 (*.f64 t t))
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (*.f64 2 (pow.f64 t 4))))
(-.f64 (fma.f64 (pow.f64 t 4) 2 1/2) (*.f64 t t))
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 4)) (*.f64 -4 (pow.f64 t 6)))))
(+.f64 (-.f64 1/2 (*.f64 t t)) (fma.f64 -4 (pow.f64 t 6) (*.f64 2 (pow.f64 t 4))))
(/.f64 1/4 (pow.f64 t 2))
(/.f64 1/4 (*.f64 t t))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(fma.f64 1/4 (pow.f64 t -2) (*.f64 -1/8 (pow.f64 t -4)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(fma.f64 (pow.f64 t -2) 1/4 (fma.f64 1/16 (pow.f64 t -6) (*.f64 -1/8 (pow.f64 t -4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 8))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (fma.f64 (pow.f64 t -6) 1/16 (/.f64 1/4 (*.f64 t t))) (fma.f64 1/32 (pow.f64 t -8) (*.f64 1/8 (pow.f64 t -4))))
(/.f64 1/4 (pow.f64 t 2))
(/.f64 1/4 (*.f64 t t))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(fma.f64 1/4 (pow.f64 t -2) (*.f64 -1/8 (pow.f64 t -4)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(fma.f64 (pow.f64 t -2) 1/4 (fma.f64 1/16 (pow.f64 t -6) (*.f64 -1/8 (pow.f64 t -4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 8))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (fma.f64 (pow.f64 t -6) 1/16 (/.f64 1/4 (*.f64 t t))) (fma.f64 1/32 (pow.f64 t -8) (*.f64 1/8 (pow.f64 t -4))))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(/.f64 2/9 t)
0.0b
(+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))
0.0b
(-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t))))
0.0b
(+.f64 1/6 (/.f64 2/9 t))
0.0b
(-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t))))
0.0b
(+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))
0.3b
(/.f64 2/9 t)
0.6b
(/.f64 -1/27 (*.f64 t t))
Compiler

Compiled 46 to 30 computations (34.8% saved)

series4.0ms (0%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
1.0ms
t
@0
(/.f64 -1/27 (*.f64 t t))
0.0ms
t
@0
(/.f64 2/9 t)
0.0ms
t
@inf
(/.f64 -1/27 (*.f64 t t))
0.0ms
t
@0
(+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))
0.0ms
t
@0
(-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t))))

rewrite86.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
93×egg-rr
84×egg-rr
50×egg-rr
40×egg-rr
Counts
4 → 267
Calls
Call 1
Inputs
(/.f64 -1/27 (*.f64 t t))
(/.f64 2/9 t)
(+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))
(-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t))))
Outputs
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(/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 1/6 (/.f64 2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (-.f64 -1/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -1 (-.f64 -1/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 0 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) (pow.f64 (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) 2) (/.f64 1/27 (*.f64 t t)))))))

simplify209.0ms (2.1%)

Algorithm
egg-herbie
Counts
303 → 285
Calls
Call 1
Inputs
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (pow.f64 t 2))
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(/.f64 1/27 (pow.f64 t 2))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
Outputs
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (*.f64 t t))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (*.f64 t t))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (*.f64 t t))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (*.f64 t t))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (*.f64 t t))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (*.f64 t t))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (*.f64 t t))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (*.f64 t t))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (*.f64 t t))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (*.f64 t t))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (*.f64 t t))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (*.f64 t t))
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (*.f64 t t))
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 1/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 1/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.f64 2/9 t))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 1/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 1/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.f64 2/9 t))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 1/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 1/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))

eval754.0ms (7.5%)

Compiler

Compiled 36980 to 29975 computations (18.9% saved)

prune153.0ms (1.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New126561271
Fresh134
Picked101
Done235
Total1269121281
Error
0b
Counts
1281 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
61.8b
(/.f64 1/27 (*.f64 t t))
27.7b
5/6
33.1b
(+.f64 5/6 (/.f64 -2/9 t))
33.3b
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t))))
24.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
0.0b
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))) 1) (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)))
24.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t)))))
24.5b
1/2
0.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
33.3b
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
33.3b
(-.f64 (/.f64 (-.f64 t 2/9) t) (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6))
29.6b
(+.f64 1/2 (*.f64 t t))
Compiler

Compiled 284 to 229 computations (19.4% saved)

localize93.0ms (0.9%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 t 1) t)
0.0b
(/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))
0.0b
(+.f64 (/.f64 -1 t) -1)
0.0b
(/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t))
0.0b
(*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))
0.0b
(pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)
2.7b
(+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)
2.7b
(+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1)))
Compiler

Compiled 211 to 164 computations (22.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
t
@0
(+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)
0.0ms
t
@inf
(+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)
0.0ms
t
@-inf
(+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)
0.0ms
t
@0
(*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))
0.0ms
t
@-inf
(*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))

rewrite59.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
76×egg-rr
67×egg-rr
Counts
2 → 143
Calls
Call 1
Inputs
(+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)
(*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 t 1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (/.f64 2 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 0) (+.f64 (/.f64 2 (+.f64 t 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (*.f64 0 (+.f64 (/.f64 2 (+.f64 t 1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (+.f64 (/.f64 2 (+.f64 t 1)) -2)) (+.f64 (/.f64 2 (+.f64 t 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 t 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 2 (+.f64 t 1)) 0) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 2 (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 2 (+.f64 t 1)) 1) 1)))) (#(struct:change 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(/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (+.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 3) -8)) (+.f64 4 (*.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 -2 (+.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 3) -8)) (/.f64 (+.f64 t 1) t)) (*.f64 (+.f64 4 (*.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) 2))) (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (/.f64 2 t)))) (*.f64 (/.f64 (+.f64 t 1) t) (+.f64 4 (*.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (/.f64 2 t)) (+.f64 4 (*.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) 2)))) (*.f64 (/.f64 (+.f64 t 1) t) (*.f64 -2 (+.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 3) -8)))) (*.f64 (/.f64 (+.f64 t 1) t) (+.f64 4 (*.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (+.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 3) -8))) (neg.f64 (+.f64 4 (*.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 3) (*.f64 2 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 3) (+.f64 1/3 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 2)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 2)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (neg.f64 (/.f64 2 (+.f64 t 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 2)) -2) (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -2) (*.f64 (cbrt.f64 4) (+.f64 (/.f64 2 (+.f64 t 1)) -2)) (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) -2 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (cbrt.f64 -2)) (cbrt.f64 4) (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -8 (+.f64 (/.f64 2 (+.f64 t 1)) -2))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 2)) (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4)) (cbrt.f64 (pow.f64 (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4) 2)) (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 t 1)) (+.f64 (/.f64 2 (+.f64 t 1)) -2) (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (/.f64 2 (+.f64 t 1)) (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4) (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (/.f64 2 (+.f64 t 1))) (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 (+.f64 t 1))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 2)) (+.f64 (/.f64 2 (+.f64 t 1)) -2)) (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (/.f64 2 (+.f64 t 1)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (/.f64 2 (+.f64 t 1))) 2)) (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (cbrt.f64 (/.f64 2 (+.f64 t 1)))) (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 2)) (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 (+.f64 t 1)) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 2)) (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 2)) (/.f64 2 (+.f64 t 1))) (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 t) (*.f64 (/.f64 1 (/.f64 (+.f64 t 1) t)) (+.f64 (/.f64 2 (+.f64 t 1)) -2)) (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (/.f64 2 t)) (/.f64 1 (/.f64 (+.f64 t 1) t)) (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (/.f64 2 (+.f64 t 1))) 1 (fma.f64 -2 (/.f64 2 (+.f64 t 1)) 4))))))

simplify168.0ms (1.7%)

Algorithm
egg-herbie
Counts
167 → 172
Calls
Call 1
Inputs
(*.f64 -2 t)
(+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 (*.f64 2 (pow.f64 t 4)) (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))))
-2
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (*.f64 2 (/.f64 1 t)) (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
-2
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (*.f64 2 (/.f64 1 t)) (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(*.f64 4 (pow.f64 t 2))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
Outputs
(*.f64 -2 t)
(+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))
(fma.f64 -2 t (*.f64 2 (*.f64 t t)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))))
(+.f64 (*.f64 -2 (+.f64 (pow.f64 t 3) t)) (*.f64 2 (*.f64 t t)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 (*.f64 2 (pow.f64 t 4)) (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 2 (pow.f64 t 4) (fma.f64 -2 t (*.f64 2 (*.f64 t t)))))
-2
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 (*.f64 2 (/.f64 1 t)) (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (/.f64 2 t) (fma.f64 (pow.f64 t -2) 2 2))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (fma.f64 2 (pow.f64 t -3) (/.f64 2 t)) (fma.f64 (pow.f64 t -2) 2 2))
-2
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 (*.f64 2 (/.f64 1 t)) (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (/.f64 2 t) (fma.f64 (pow.f64 t -2) 2 2))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (fma.f64 2 (pow.f64 t -3) (/.f64 2 t)) (fma.f64 (pow.f64 t -2) 2 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (pow.f64 t 5) -16 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 (fma.f64 (pow.f64 t -2) 12 4) (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (fma.f64 (pow.f64 t -2) 12 4) (fma.f64 16 (pow.f64 t -3) (/.f64 8 t)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 (fma.f64 (pow.f64 t -2) 12 4) (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (fma.f64 (pow.f64 t -2) 12 4) (fma.f64 16 (pow.f64 t -3) (/.f64 8 t)))

localize5.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.6b
(/.f64 1/27 (*.f64 t t))
0.6b
(/.f64 1/27 (*.f64 t t))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
t
@0
(/.f64 1/27 (*.f64 t t))
0.0ms
t
@inf
(/.f64 1/27 (*.f64 t t))
0.0ms
t
@-inf
(/.f64 1/27 (*.f64 t t))

rewrite73.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
93×egg-rr
Counts
1 → 93
Calls
Call 1
Inputs
(/.f64 1/27 (*.f64 t t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/27 (*.f64 t t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/27 (*.f64 t t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/27) t) (/.f64 (sqrt.f64 1/27) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 1/27) t) -1) (*.f64 (/.f64 (sqrt.f64 1/27) t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) (sqrt.f64 1/27)) (*.f64 (/.f64 1 t) (sqrt.f64 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 t) (sqrt.f64 1/27)) (*.f64 (/.f64 -1 t) (sqrt.f64 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) (neg.f64 (sqrt.f64 1/27))) (*.f64 (/.f64 1 t) (neg.f64 (sqrt.f64 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 t) (neg.f64 (sqrt.f64 1/27))) (*.f64 (/.f64 -1 t) (neg.f64 (sqrt.f64 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/27) (neg.f64 t)) (/.f64 (sqrt.f64 1/27) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (sqrt.f64 1/27)) (/.f64 1 t)) (*.f64 (neg.f64 (sqrt.f64 1/27)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/27) (/.f64 -1 t)) (*.f64 (sqrt.f64 1/27) (/.f64 -1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (sqrt.f64 1/27)) (/.f64 -1 t)) (*.f64 (neg.f64 (sqrt.f64 1/27)) (/.f64 -1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 t -2/3)) (/.f64 1/9 (pow.f64 t 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 (pow.f64 t 4/3)) (*.f64 1/3 (pow.f64 t -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 t) (/.f64 1/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/27) (pow.f64 t -2/3)) (/.f64 (sqrt.f64 1/27) (pow.f64 t 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -2/3) (/.f64 1/27 (pow.f64 t 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/27) (pow.f64 t 4/3)) (*.f64 (sqrt.f64 1/27) (pow.f64 t -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/27 (pow.f64 t 4/3)) (pow.f64 t -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 t) (/.f64 1/3 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/27 (neg.f64 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 t -2)) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (+.f64 (/.f64 1/9 (pow.f64 t 4/3)) (*.f64 0 (cbrt.f64 (/.f64 -1/27 (*.f64 t t)))))) (*.f64 1/3 (pow.f64 t -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/27 t) (cbrt.f64 t)) (pow.f64 t -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/27) (*.f64 (sqrt.f64 1/27) (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/27 t) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (/.f64 1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/27) (pow.f64 t -2)) (sqrt.f64 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/27 (pow.f64 t -2/3)) (cbrt.f64 (pow.f64 t -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/27 t) (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/27 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/27 (*.f64 t t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1/9 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 (*.f64 t t)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (pow.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -2) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 t) (*.f64 t 27))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/27 (pow.f64 t -2/3)) (cbrt.f64 (pow.f64 t 4/3))) (cbrt.f64 (pow.f64 (pow.f64 t 4/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1/27 t)) 1/9) (*.f64 (cbrt.f64 t) (pow.f64 t 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/9 (pow.f64 t 4/3)) -1/3) (neg.f64 (pow.f64 t 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (/.f64 1/9 (pow.f64 t 4/3))) (neg.f64 (pow.f64 t 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 1/27 t) (cbrt.f64 t)) (cbrt.f64 (pow.f64 t 2/3))) (cbrt.f64 (pow.f64 t 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 t) -1/27) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/9 (pow.f64 t 4/3)) (cbrt.f64 (/.f64 1/27 t))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/27 t) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1/27 t)) (/.f64 1/9 (pow.f64 t 4/3))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 1/19683 t)) (pow.f64 (cbrt.f64 t) 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/27 t) (pow.f64 t 2/3)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 1/27 t) (cbrt.f64 t)) (cbrt.f64 t)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/27 t) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/27 t) (cbrt.f64 t)) (pow.f64 t 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/27 (pow.f64 t -2/3)) (pow.f64 t 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/27) (pow.f64 t -2/3)) (sqrt.f64 1/27)) (pow.f64 t 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 t) (cbrt.f64 (/.f64 1/19683 t))) (pow.f64 t 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/3 t) 1/9) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 (pow.f64 t -2/3)) 1/9) (pow.f64 t 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 t -2/3) 1/27) (pow.f64 t 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/9 (pow.f64 t 4/3)) 1/3) (pow.f64 t 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/27) (/.f64 (sqrt.f64 1/27) (pow.f64 t 4/3))) (pow.f64 t 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/27 (pow.f64 t 4/3)) (pow.f64 t 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (/.f64 1/9 (pow.f64 t 4/3))) (pow.f64 t 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1/19683 t)) (/.f64 1 t)) (pow.f64 t 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/27 (pow.f64 t 2/3)) (neg.f64 (pow.f64 t 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/27 (neg.f64 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1/27 t) (cbrt.f64 t)) (neg.f64 (pow.f64 t 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 t t) -1/27))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 t 27) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/27 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 1/3 (cbrt.f64 (pow.f64 t 2/3))) 3) (pow.f64 t 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 -1/3 (cbrt.f64 t)) 3) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 1/27 t)) (cbrt.f64 (cbrt.f64 t))) 3) (pow.f64 t 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/27 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t 27) t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (pow.f64 t -2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/27 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/27) t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sqrt.f64 1/27) t) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -1 t) (sqrt.f64 1/27)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (neg.f64 (sqrt.f64 1/27)) (/.f64 -1 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -1 t) (neg.f64 (sqrt.f64 1/27))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 t) (sqrt.f64 1/27)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/27) (/.f64 -1 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 t) (neg.f64 (sqrt.f64 1/27))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/27) (neg.f64 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (neg.f64 (sqrt.f64 1/27)) (/.f64 1 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 t -6) 1/19683) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 -1/27 (*.f64 t t)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t -6) 1/19683))))))

simplify125.0ms (1.2%)

Algorithm
egg-herbie
Counts
105 → 94
Calls
Call 1
Inputs
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
Outputs
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1/27 t)
0.2b
(/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)
0.0b
(-.f64 (/.f64 1/27 t) 2/9)
0.0b
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
0.0b
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
0.0b
(-.f64 (/.f64 1/27 t) 2/9)
0.2b
(/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)
0.3b
(/.f64 1/27 t)
Compiler

Compiled 29 to 22 computations (24.1% saved)

series5.0ms (0%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
1.0ms
t
@0
(/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)
0.0ms
t
@-inf
(/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)
0.0ms
t
@0
(/.f64 1/27 t)
0.0ms
t
@inf
(/.f64 1/27 t)
0.0ms
t
@-inf
(/.f64 1/27 t)

rewrite72.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
91×egg-rr
73×egg-rr
67×egg-rr
56×egg-rr
Counts
4 → 287
Calls
Call 1
Inputs
(/.f64 1/27 t)
(/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)
(-.f64 (/.f64 1/27 t) 2/9)
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/27 t) 0) (/.f64 1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/27 t) (*.f64 (/.f64 1/27 t) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1/27 t)) (/.f64 1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/27 t) (*.f64 0 (/.f64 1/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 t)) (/.f64 -1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (/.f64 t 1/27)) (/.f64 -1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/27 t) (/.f64 0 (/.f64 t 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/27) (/.f64 (cbrt.f64 1/729) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/27 (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/27) (cbrt.f64 t)) (/.f64 (sqrt.f64 1/27) (cbrt.f64 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/27) (/.f64 (sqrt.f64 1/27) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/27 t)) (cbrt.f64 (/.f64 1/729 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/729 (*.f64 t t))) (cbrt.f64 (/.f64 1/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 t)) (cbrt.f64 (/.f64 1/19683 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/27 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/19683 t)) (pow.f64 (cbrt.f64 t) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/27 (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 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(/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) -5/6) 25/36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 125/216 (pow.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 3))) 1) (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) (+.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) -5/6) 25/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 125/216 (pow.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 3))) (cbrt.f64 (pow.f64 (+.f64 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) 2))) (cbrt.f64 (fma.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) (+.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) -5/6) 25/36)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))) (+.f64 2 1))))) (#(struct:change #<rule 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(pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 5/6) (sqrt.f64 5/6) (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 5/6) (cbrt.f64 25/36) (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 2)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1/27 t) -2/9) (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 1 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -1/27 t) 2/9) 2)) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 (+.f64 (/.f64 -1/27 t) 2/9) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 -1/27 t) 2/9) (/.f64 -1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 t)) (/.f64 (+.f64 (/.f64 1/27 t) -2/9) (cbrt.f64 (*.f64 t t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 25/36) (cbrt.f64 5/6) (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5/6 1 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 5/6)) (neg.f64 (sqrt.f64 5/6)) (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) (/.f64 (/.f64 (cbrt.f64 1/729) t) (cbrt.f64 t)) (neg.f64 (+.f64 (/.f64 2/9 t) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 t)) (/.f64 (/.f64 1/27 t) (cbrt.f64 (*.f64 t t))) (neg.f64 (+.f64 (/.f64 2/9 t) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/27 t) (/.f64 1 t) (neg.f64 (+.f64 (/.f64 2/9 t) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) (cbrt.f64 (pow.f64 (*.f64 1/27 (pow.f64 t -2)) 2)) (neg.f64 (+.f64 (/.f64 2/9 t) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/27 t)) (/.f64 (cbrt.f64 (/.f64 1/729 (*.f64 t t))) t) (neg.f64 (+.f64 (/.f64 2/9 t) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/27 (pow.f64 t -2)) (neg.f64 (+.f64 (/.f64 2/9 t) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/19683 t)) (/.f64 (/.f64 1 t) (cbrt.f64 (*.f64 t t))) (neg.f64 (+.f64 (/.f64 2/9 t) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/27 (pow.f64 t -2) (neg.f64 (+.f64 (/.f64 2/9 t) -5/6)))))))

simplify207.0ms (2.1%)

Algorithm
egg-herbie
Counts
323 → 300
Calls
Call 1
Inputs
(/.f64 1/27 (pow.f64 t 2))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 1/27 t)
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
-2/9
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
-2/9
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(/.f64 1/27 (pow.f64 t 2))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
Outputs
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(/.f64 -2/9 t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(/.f64 -2/9 t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(/.f64 1/27 t)
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(+.f64 -2/9 (/.f64 1/27 t))
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(+.f64 -2/9 (/.f64 1/27 t))
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(+.f64 -2/9 (/.f64 1/27 t))
-2/9
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(+.f64 -2/9 (/.f64 1/27 t))
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(+.f64 -2/9 (/.f64 1/27 t))
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(+.f64 -2/9 (/.f64 1/27 t))
-2/9
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(+.f64 -2/9 (/.f64 1/27 t))
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(+.f64 -2/9 (/.f64 1/27 t))
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(+.f64 -2/9 (/.f64 1/27 t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))

localize16.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (-.f64 t 2/9) t)
0.0b
(-.f64 t 2/9)
0.0b
(+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6)
0.0b
(-.f64 (/.f64 (-.f64 t 2/9) t) (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6))
0.0b
(+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6)
0.0b
(-.f64 t 2/9)
0.2b
(/.f64 (-.f64 t 2/9) t)
0.6b
(/.f64 -1/27 (*.f64 t t))
Compiler

Compiled 41 to 24 computations (41.5% saved)

series3.0ms (0%)

Counts
3 → 27
Calls

9 calls:

TimeVariablePointExpression
0.0ms
t
@0
(/.f64 (-.f64 t 2/9) t)
0.0ms
t
@inf
(/.f64 (-.f64 t 2/9) t)
0.0ms
t
@-inf
(/.f64 (-.f64 t 2/9) t)
0.0ms
t
@0
(+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6)
0.0ms
t
@inf
(+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6)

rewrite57.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
77×egg-rr
60×egg-rr
49×egg-rr
Counts
3 → 186
Calls
Call 1
Inputs
(/.f64 (-.f64 t 2/9) t)
(-.f64 t 2/9)
(+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6)
Outputs
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egg-rr> (2) ((x *.f64 1 (fma.f64 -1/27 (pow.f64 t -2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 -1/19683 (pow.f64 t 6)) 1/216)) (+.f64 (-.f64 (/.f64 -1/162 (*.f64 t t)) 1/36) (neg.f64 (/.f64 1/729 (pow.f64 t 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -1/19683 (pow.f64 t 6)) 1/216) (+.f64 (/.f64 1/729 (pow.f64 t 4)) (+.f64 1/36 (/.f64 1/162 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (+.f64 (/.f64 1/27 (*.f64 t t)) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 -1/19683 (pow.f64 t 6)) 1/216) (+.f64 (-.f64 (/.f64 -1/162 (*.f64 t t)) 1/36) (neg.f64 (/.f64 1/729 (pow.f64 t 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/27 (pow.f64 t -2) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/6) (sqrt.f64 1/6) (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/6) (cbrt.f64 1/36) (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1/27 (*.f64 t t))) (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1/6 (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/27 (*.f64 t t)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/27 (pow.f64 t -2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/36) (cbrt.f64 1/6) (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -1/6 (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 1/6)) (neg.f64 (sqrt.f64 1/6)) (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 1 (/.f64 -1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/27 t) (/.f64 1 t) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 t -2)) (/.f64 -1/27 (cbrt.f64 (pow.f64 t 4))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) (cbrt.f64 (/.f64 -1/27 (*.f64 t t))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -1/27) (*.f64 (cbrt.f64 1/729) (pow.f64 t -2)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/27 (neg.f64 (pow.f64 t -2)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 -1/27) t) (/.f64 (cbrt.f64 1/729) t) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/27 (*.f64 t t)) 1 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -2) -1/27 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1/27 (*.f64 t t)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) (/.f64 -1/27 t) 1/6)))))

simplify145.0ms (1.4%)

Algorithm
egg-herbie
Counts
213 → 195
Calls
Call 1
Inputs
(/.f64 -2/9 t)
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
1
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
1
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
-2/9
t
t
(/.f64 -1/27 (pow.f64 t 2))
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
1/6
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
1/6
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
Outputs
(/.f64 -2/9 t)
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 t -2/9) t)
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 t -2/9) t)
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 t -2/9) t)
1
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 t -2/9) t)
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 t -2/9) t)
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 t -2/9) t)
1
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 t -2/9) t)
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 t -2/9) t)
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 t -2/9) t)
-2/9
t
t
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (*.f64 t t))
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(fma.f64 (pow.f64 t -2) -1/27 1/6)
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(fma.f64 (pow.f64 t -2) -1/27 1/6)
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(fma.f64 (pow.f64 t -2) -1/27 1/6)
1/6
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(fma.f64 (pow.f64 t -2) -1/27 1/6)
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(fma.f64 (pow.f64 t -2) -1/27 1/6)
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(fma.f64 (pow.f64 t -2) -1/27 1/6)
1/6
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(fma.f64 (pow.f64 t -2) -1/27 1/6)
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(fma.f64 (pow.f64 t -2) -1/27 1/6)
(-.f64 1/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(fma.f64 (pow.f64 t -2) -1/27 1/6)

eval586.0ms (5.8%)

Compiler

Compiled 30733 to 24366 computations (20.7% saved)

prune137.0ms (1.4%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New105611057
Fresh044
Picked011
Done167
Total1057121069
Error
0b
Counts
1069 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
61.8b
(/.f64 1/27 (*.f64 t t))
27.7b
5/6
24.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
0.0b
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))) 1) (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))))
33.1b
(+.f64 5/6 (/.f64 -2/9 t))
33.3b
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t))))
24.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t)))))
24.5b
1/2
0.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
33.3b
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
33.3b
(-.f64 (/.f64 (-.f64 t 2/9) t) (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6))
29.6b
(+.f64 1/2 (*.f64 t t))
Compiler

Compiled 178 to 143 computations (19.7% saved)

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(/.f64 -2/9 t)
0.0b
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t))))
0.0b
(+.f64 -1/6 (/.f64 -2/9 t))
0.0b
(+.f64 1 (/.f64 1/27 (*.f64 t t)))
0.0b
(+.f64 -1/6 (/.f64 -2/9 t))
0.0b
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t))))
0.3b
(/.f64 -2/9 t)
0.6b
(/.f64 1/27 (*.f64 t t))
Compiler

Compiled 42 to 27 computations (35.7% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
t
@0
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t))))
0.0ms
t
@inf
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t))))
0.0ms
t
@-inf
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t))))
0.0ms
t
@0
(+.f64 -1/6 (/.f64 -2/9 t))
0.0ms
t
@inf
(+.f64 -1/6 (/.f64 -2/9 t))

rewrite56.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
89×egg-rr
33×egg-rr
Counts
2 → 122
Calls
Call 1
Inputs
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t))))
(+.f64 -1/6 (/.f64 -2/9 t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) -1/6) 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) -1/6) (/.f64 (+.f64 -2/9 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 0 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -2/9 t) t) (+.f64 (/.f64 1/27 (*.f64 t t)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6) 0) (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6) (*.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)) (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6) (*.f64 0 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) 5/6) (/.f64 1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/6 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) -1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (fma.f64 1/27 (pow.f64 t -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/27 (pow.f64 t -2) 1) (+.f64 -1/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/27 (*.f64 t t)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/6 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2/9 t) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 0) (+.f64 -1/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (*.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (+.f64 -1/6 (/.f64 -2/9 t))) (+.f64 -1/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (*.f64 0 (+.f64 -1/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1/6 (/.f64 2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 1/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 -1/216 (pow.f64 (/.f64 -2/9 t) 3))) (/.f64 1 (neg.f64 (+.f64 1/36 (fma.f64 4/81 (pow.f64 t -2) (/.f64 -1/27 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))) (cbrt.f64 (pow.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 1/36) (-.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 1/27 t)))) (+.f64 (cbrt.f64 -1/6) (cbrt.f64 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (-.f64 (cbrt.f64 1/36) (cbrt.f64 (/.f64 1/27 t)))) (+.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/216 (pow.f64 (/.f64 -2/9 t) 3)) (/.f64 1 (+.f64 1/36 (fma.f64 4/81 (pow.f64 t -2) (/.f64 -1/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 2)) (cbrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/216 (pow.f64 (/.f64 -2/9 t) 3)) (cbrt.f64 (+.f64 1/36 (fma.f64 4/81 (pow.f64 t -2) (/.f64 -1/27 t))))) (pow.f64 (cbrt.f64 (+.f64 1/36 (fma.f64 4/81 (pow.f64 t -2) (/.f64 -1/27 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/216 (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 1/36 (fma.f64 4/81 (pow.f64 t -2) (/.f64 -1/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/216 (pow.f64 (/.f64 -2/9 t) 3))) (neg.f64 (+.f64 1/36 (fma.f64 4/81 (pow.f64 t -2) (/.f64 -1/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/216 (pow.f64 (/.f64 -2/9 t) 3)) 1) (+.f64 1/36 (fma.f64 4/81 (pow.f64 t -2) (/.f64 -1/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -1/6) (cbrt.f64 1/36) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 -1/6 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) -1/6)))))

simplify172.0ms (1.7%)

Algorithm
egg-herbie
Counts
146 → 135
Calls
Call 1
Inputs
(/.f64 1/27 (pow.f64 t 2))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
Outputs
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
(/.f64 -2/9 t)
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 (/.f64 -2/9 t) -1/6)
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 (/.f64 -2/9 t) -1/6)
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 (/.f64 -2/9 t) -1/6)
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 (/.f64 -2/9 t) -1/6)
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 (/.f64 -2/9 t) -1/6)
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 (/.f64 -2/9 t) -1/6)
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 (/.f64 -2/9 t) -1/6)
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 (/.f64 -2/9 t) -1/6)
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 (/.f64 -2/9 t) -1/6)

localize54.0ms (0.5%)

Local error

Found 8 expressions with local error:

NewErrorProgram
2.7b
(+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)
0.0b
(*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))
0.0b
(/.f64 (+.f64 t 1) t)
0.0b
(/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t))
0.0b
(/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t))
0.0b
(/.f64 (+.f64 t 1) t)
0.0b
(*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))
2.7b
(+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2)
Compiler

Compiled 164 to 123 computations (25% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
t
@-inf
(/.f64 (+.f64 t 1) t)
0.0ms
t
@0
(/.f64 (+.f64 t 1) t)
0.0ms
t
@inf
(/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t))
0.0ms
t
@inf
(/.f64 (+.f64 t 1) t)
0.0ms
t
@-inf
(/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t))

rewrite51.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
147×egg-rr
77×egg-rr
Counts
2 → 224
Calls
Call 1
Inputs
(/.f64 (+.f64 t 1) t)
(/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)) (neg.f64 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)) (cbrt.f64 (*.f64 t t))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)) (cbrt.f64 t)) (cbrt.f64 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)) -1) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 (/.f64 (+.f64 t 1) t)) -1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 (/.f64 (+.f64 t 1) t)) 1) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 (/.f64 (+.f64 t 1) t)) (cbrt.f64 (neg.f64 t))) (cbrt.f64 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 (/.f64 (+.f64 t 1) t)) (cbrt.f64 t)) (neg.f64 (cbrt.f64 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 8 t)) -1) (*.f64 (cbrt.f64 (*.f64 t t)) (/.f64 (-.f64 -1 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 8 t)) 1) (*.f64 (cbrt.f64 (*.f64 t t)) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 8 t)) (cbrt.f64 (/.f64 t (+.f64 t 1)))) (*.f64 (cbrt.f64 (*.f64 t t)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 8 t)) (/.f64 1 (+.f64 t 1))) (*.f64 (cbrt.f64 (*.f64 t t)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 t 1/2) (/.f64 (-.f64 -1 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 t 1/2) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 t (+.f64 t 1))) (*.f64 (*.f64 t 1/2) (cbrt.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 t 1)) (*.f64 (*.f64 t 1/2) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 8 (/.f64 (+.f64 t 1) t))) (*.f64 t (cbrt.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (+.f64 t 1)) (*.f64 t (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (neg.f64 (neg.f64 (/.f64 (fma.f64 t t t) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 2 t) (cbrt.f64 (/.f64 t (+.f64 t 1))))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 -2 t) (-.f64 -1 t))) (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 t 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 t 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 t 1))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 t 1))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (/.f64 2 (+.f64 t 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 -2 t) (/.f64 t (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -2 (/.f64 1 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 t (+.f64 t 1)) (/.f64 -2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -2 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 8 (pow.f64 (+.f64 t 1) 3)))))))

simplify189.0ms (1.9%)

Algorithm
egg-herbie
Counts
248 → 240
Calls
Call 1
Inputs
(/.f64 1 t)
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
1
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
1
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
2
(+.f64 2 (*.f64 -2 t))
(+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
Outputs
(/.f64 1 t)
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
1
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
1
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
2
(+.f64 2 (*.f64 -2 t))
(fma.f64 t -2 2)
(+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))))
(+.f64 (*.f64 2 (*.f64 t (-.f64 t 1))) 2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))))
(+.f64 (fma.f64 t -2 2) (*.f64 (*.f64 t t) (fma.f64 t -2 2)))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(/.f64 (-.f64 2 (/.f64 2 t)) t)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(fma.f64 (pow.f64 t -3) 2 (/.f64 (-.f64 2 (/.f64 2 t)) t))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(*.f64 2 (-.f64 (+.f64 (pow.f64 t -3) (/.f64 1 t)) (+.f64 (pow.f64 t -2) (pow.f64 t -4))))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(/.f64 (-.f64 2 (/.f64 2 t)) t)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(fma.f64 (pow.f64 t -3) 2 (/.f64 (-.f64 2 (/.f64 2 t)) t))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(*.f64 2 (-.f64 (+.f64 (pow.f64 t -3) (/.f64 1 t)) (+.f64 (pow.f64 t -2) (pow.f64 t -4))))

localize45.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0.0b
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
0.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
0.0b
(+.f64 1 (/.f64 1 t))
0.0b
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
0.0b
(/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0.0b
(*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
2.7b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Compiler

Compiled 110 to 89 computations (19.1% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
t
@0
(*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
0.0ms
t
@inf
(/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0.0ms
t
@-inf
(/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0.0ms
t
@inf
(*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
0.0ms
t
@0
(/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

rewrite77.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
65×egg-rr
50×egg-rr
36×egg-rr
Counts
3 → 151
Calls
Call 1
Inputs
(*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
(/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
Outputs
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(+.f64 1 t) t)) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) (cbrt.f64 (*.f64 t t))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) -1) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 t) (+.f64 1 (pow.f64 t -3))) (/.f64 1 (+.f64 (pow.f64 t -2) (/.f64 (-.f64 t 1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 t) -1) (+.f64 -1 (/.f64 -1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 t) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) (cbrt.f64 (/.f64 (+.f64 1 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 (/.f64 (+.f64 1 t) t)) (cbrt.f64 (neg.f64 t))) (cbrt.f64 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 (/.f64 (+.f64 1 t) t)) -1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 (/.f64 (+.f64 1 t) t)) 1) (neg.f64 t))))) 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pow.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 1 t) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 1 t) t))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 1 t) t))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 1 t) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 1 t) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 t) (+.f64 -1 (/.f64 -1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 1 t) t)) 3))))))

simplify203.0ms (2%)

Algorithm
egg-herbie
Counts
187 → 194
Calls
Call 1
Inputs
(*.f64 4 (pow.f64 t 2))
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (+.f64 (*.f64 -4 (pow.f64 t 5)) (*.f64 4 (pow.f64 t 2)))))
(*.f64 4 t)
(-.f64 (*.f64 4 t) 4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))
(*.f64 4 t)
(-.f64 (*.f64 4 t) 4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))
1/2
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2)
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (pow.f64 t 3)))
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 3))))
(/.f64 1/4 t)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t))) (*.f64 3/16 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 4))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t)))) (*.f64 3/16 (/.f64 1 (pow.f64 t 3))))
(/.f64 1/4 t)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t))) (*.f64 3/16 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 4))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t)))) (*.f64 3/16 (/.f64 1 (pow.f64 t 3))))
2
(+.f64 2 (*.f64 -2 t))
(+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
Outputs
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -4 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 4 (*.f64 t t))))
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (+.f64 (*.f64 -4 (pow.f64 t 5)) (*.f64 4 (pow.f64 t 2)))))
(fma.f64 4 (pow.f64 t 4) (+.f64 (*.f64 -4 (+.f64 (pow.f64 t 3) (pow.f64 t 5))) (*.f64 4 (*.f64 t t))))
(*.f64 4 t)
(-.f64 (*.f64 4 t) 4)
(fma.f64 4 t -4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4)
(+.f64 (/.f64 4 t) (fma.f64 4 t -4))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (fma.f64 4 t (/.f64 4 t)) (fma.f64 4 (pow.f64 t -2) 4))
(*.f64 4 t)
(-.f64 (*.f64 4 t) 4)
(fma.f64 4 t -4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4)
(+.f64 (/.f64 4 t) (fma.f64 4 t -4))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (fma.f64 4 t (/.f64 4 t)) (fma.f64 4 (pow.f64 t -2) 4))
1/2
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2)
(-.f64 1/2 (*.f64 t t))
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (pow.f64 t 3)))
(-.f64 (+.f64 1/2 (pow.f64 t 3)) (*.f64 t t))
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 3))))
(-.f64 (+.f64 (+.f64 1/2 (pow.f64 t 3)) (pow.f64 t 4)) (*.f64 t t))
(/.f64 1/4 t)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t)))
(fma.f64 1/8 (pow.f64 t -2) (/.f64 1/4 t))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t))) (*.f64 3/16 (/.f64 1 (pow.f64 t 3))))
(+.f64 (fma.f64 1/8 (pow.f64 t -2) (/.f64 1/4 t)) (*.f64 -3/16 (pow.f64 t -3)))
(-.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 4))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t)))) (*.f64 3/16 (/.f64 1 (pow.f64 t 3))))
(+.f64 (fma.f64 1/32 (pow.f64 t -4) (fma.f64 1/8 (pow.f64 t -2) (/.f64 1/4 t))) (*.f64 -3/16 (pow.f64 t -3)))
(/.f64 1/4 t)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t)))
(fma.f64 1/8 (pow.f64 t -2) (/.f64 1/4 t))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t))) (*.f64 3/16 (/.f64 1 (pow.f64 t 3))))
(+.f64 (fma.f64 1/8 (pow.f64 t -2) (/.f64 1/4 t)) (*.f64 -3/16 (pow.f64 t -3)))
(-.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 4))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 2))) (*.f64 1/4 (/.f64 1 t)))) (*.f64 3/16 (/.f64 1 (pow.f64 t 3))))
(+.f64 (fma.f64 1/32 (pow.f64 t -4) (fma.f64 1/8 (pow.f64 t -2) (/.f64 1/4 t))) (*.f64 -3/16 (pow.f64 t -3)))
2
(+.f64 2 (*.f64 -2 t))
(fma.f64 -2 t 2)
(+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))))
(+.f64 (fma.f64 -2 t 2) (*.f64 2 (*.f64 t t)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))))
(+.f64 (fma.f64 -2 (pow.f64 t 3) 2) (fma.f64 -2 t (*.f64 2 (*.f64 t t))))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(*.f64 2 (-.f64 (+.f64 (pow.f64 t -3) (/.f64 1 t)) (pow.f64 t -2)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(*.f64 2 (-.f64 (+.f64 (pow.f64 t -3) (/.f64 1 t)) (+.f64 (pow.f64 t -4) (pow.f64 t -2))))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(*.f64 2 (-.f64 (+.f64 (pow.f64 t -3) (/.f64 1 t)) (pow.f64 t -2)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(*.f64 2 (-.f64 (+.f64 (pow.f64 t -3) (/.f64 1 t)) (+.f64 (pow.f64 t -4) (pow.f64 t -2))))

eval1.9s (18.6%)

Compiler

Compiled 98829 to 77626 computations (21.5% saved)

prune291.0ms (2.9%)

Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New203812039
Fresh022
Picked011
Done189
Total2039122051
Error
0b
Counts
2051 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
61.8b
(/.f64 1/27 (*.f64 t t))
27.7b
5/6
0.0b
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (+.f64 (/.f64 2 (+.f64 t 1)) -2))) 1) (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))))
24.5b
1/2
33.1b
(+.f64 5/6 (/.f64 -2/9 t))
33.3b
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t))))
24.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
24.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t)))))
0.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
33.3b
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
33.3b
(-.f64 (/.f64 (-.f64 t 2/9) t) (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6))
29.6b
(+.f64 1/2 (*.f64 t t))
Compiler

Compiled 170 to 139 computations (18.2% saved)

regimes73.0ms (0.7%)

Counts
18 → 1
Calls
Call 1
Inputs
5/6
1/2
(/.f64 1/27 (*.f64 t t))
(+.f64 1/2 (*.f64 t t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t)))))
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t))))
(-.f64 (/.f64 (-.f64 t 2/9) t) (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6))
(-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (+.f64 (/.f64 2 (+.f64 t 1)) -2))) 1) (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))))
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))) 1) (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))))
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))) 1) (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)))
(-.f64 1 (/.f64 1 (+.f64 2 (pow.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 6) 1/3))))
(/.f64 (+.f64 (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) 1) (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)))
Outputs
(/.f64 (+.f64 (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) 1) (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)))
Calls

13 calls:

17.0ms
t
8.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
6.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
5.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.0ms
(+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))
Results
ErrorSegmentsBranch
0b1t
0b1(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
0b1(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
0b1(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0b1(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0b1(+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))
0b1(+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))
0b1(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
0b1(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
0b1(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0b1(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0b1(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
0b1(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
Compiler

Compiled 591 to 482 computations (18.4% saved)

regimes80.0ms (0.8%)

Counts
17 → 1
Calls
Call 1
Inputs
5/6
1/2
(/.f64 1/27 (*.f64 t t))
(+.f64 1/2 (*.f64 t t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t)))))
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t))))
(-.f64 (/.f64 (-.f64 t 2/9) t) (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6))
(-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (+.f64 (/.f64 2 (+.f64 t 1)) -2))) 1) (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))))
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))) 1) (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))))
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))) 1) (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)))
(-.f64 1 (/.f64 1 (+.f64 2 (pow.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 6) 1/3))))
Outputs
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (+.f64 (/.f64 2 (+.f64 t 1)) -2))) 1) (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))))
Calls

13 calls:

18.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
11.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
8.0ms
t
6.0ms
(+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))
5.0ms
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
Results
ErrorSegmentsBranch
0.0b1t
0.0b1(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
0.0b1(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
0.0b1(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0.0b1(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0.0b1(+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))
0.0b1(+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))
0.0b1(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
0.0b1(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
0.0b1(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0.0b1(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0.0b1(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
0.0b1(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
Compiler

Compiled 558 to 453 computations (18.8% saved)

regimes33.0ms (0.3%)

Counts
13 → 1
Calls
Call 1
Inputs
5/6
1/2
(/.f64 1/27 (*.f64 t t))
(+.f64 1/2 (*.f64 t t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t)))))
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t))))
(-.f64 (/.f64 (-.f64 t 2/9) t) (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6))
(-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
Outputs
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
Calls

7 calls:

8.0ms
t
6.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
4.0ms
(+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))
3.0ms
(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
3.0ms
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
Results
ErrorSegmentsBranch
0.0b1t
0.0b1(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
0.0b1(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0.0b1(+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))
0.0b1(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
0.0b1(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0.0b1(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
Compiler

Compiled 266 to 211 computations (20.7% saved)

regimes22.0ms (0.2%)

Counts
12 → 3
Calls
Call 1
Inputs
5/6
1/2
(/.f64 1/27 (*.f64 t t))
(+.f64 1/2 (*.f64 t t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t)))))
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t))))
(-.f64 (/.f64 (-.f64 t 2/9) t) (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6))
(-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
Outputs
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
(+.f64 5/6 (/.f64 -2/9 t))
Calls

1 calls:

19.0ms
t
Results
ErrorSegmentsBranch
0.5b3t
Compiler

Compiled 107 to 76 computations (29% saved)

bsearch69.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
37.0ms
0.12462912159661302
126887446.12454449
32.0ms
-9.434969598260269
-0.24778074537980832
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes24.0ms (0.2%)

Counts
11 → 3
Calls
Call 1
Inputs
5/6
1/2
(/.f64 1/27 (*.f64 t t))
(+.f64 1/2 (*.f64 t t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t)))))
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t))))
(-.f64 (/.f64 (-.f64 t 2/9) t) (+.f64 (/.f64 -1/27 (*.f64 t t)) 1/6))
(-.f64 1 (+.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t))))
Outputs
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t))))
(+.f64 1/2 (*.f64 t t))
(+.f64 5/6 (/.f64 -2/9 t))
Calls

1 calls:

21.0ms
t
Results
ErrorSegmentsBranch
0.6b3t
Compiler

Compiled 86 to 58 computations (32.6% saved)

bsearch68.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
31.0ms
0.12462912159661302
126887446.12454449
36.0ms
-9.434969598260269
-0.24778074537980832
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes16.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
5/6
1/2
(/.f64 1/27 (*.f64 t t))
(+.f64 1/2 (*.f64 t t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 4 (*.f64 t t)))))
Outputs
(+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t))
(+.f64 1/2 (*.f64 t t))
(+.f64 5/6 (/.f64 -2/9 t))
Calls

1 calls:

14.0ms
t
Results
ErrorSegmentsBranch
0.6b3t
Compiler

Compiled 47 to 32 computations (31.9% saved)

bsearch82.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
45.0ms
0.12462912159661302
126887446.12454449
36.0ms
-9.434969598260269
-0.24778074537980832
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes14.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
5/6
1/2
(/.f64 1/27 (*.f64 t t))
(+.f64 1/2 (*.f64 t t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
Outputs
(+.f64 5/6 (/.f64 -2/9 t))
(+.f64 1/2 (*.f64 t t))
(+.f64 5/6 (/.f64 -2/9 t))
Calls

1 calls:

13.0ms
t
Results
ErrorSegmentsBranch
0.6b3t
Compiler

Compiled 27 to 17 computations (37% saved)

bsearch65.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
32.0ms
0.12462912159661302
126887446.12454449
33.0ms
-9.434969598260269
-0.24778074537980832
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes13.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
5/6
1/2
(/.f64 1/27 (*.f64 t t))
(+.f64 1/2 (*.f64 t t))
Outputs
5/6
(+.f64 1/2 (*.f64 t t))
5/6
Calls

1 calls:

12.0ms
t
Results
ErrorSegmentsBranch
0.8b3t
Compiler

Compiled 15 to 9 computations (40% saved)

bsearch77.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
44.0ms
0.12462912159661302
126887446.12454449
33.0ms
-9.434969598260269
-0.24778074537980832
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes10.0ms (0.1%)

Accuracy

Total -61.0b remaining (-7593.2%)

Threshold costs -61.0b (-7593.2%)

Counts
3 → 3
Calls
Call 1
Inputs
5/6
1/2
(/.f64 1/27 (*.f64 t t))
Outputs
5/6
1/2
5/6
Calls

1 calls:

9.0ms
t
Results
ErrorSegmentsBranch
0.8b3t
Compiler

Compiled 10 to 7 computations (30% saved)

bsearch90.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
58.0ms
0.12462912159661302
126887446.12454449
32.0ms
-9.434969598260269
-0.24778074537980832
Compiler

Compiled 34 to 29 computations (14.7% saved)

simplify78.0ms (0.8%)

Algorithm
egg-herbie
Stop Event
fuel
Calls
Call 1
Inputs
(/.f64 (+.f64 (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) 1) (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)))
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (+.f64 (/.f64 2 (+.f64 t 1)) -2))) 1) (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) (if (<=.f64 t 4490237324656149/36028797018963968) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) (if (<=.f64 t 4490237324656149/36028797018963968) (+.f64 1/2 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) (if (<=.f64 t 4490237324656149/36028797018963968) (+.f64 1/2 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 4490237324656149/36028797018963968) (+.f64 1/2 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -5311415695872113/562949953421312) 5/6 (if (<=.f64 t 4490237324656149/36028797018963968) (+.f64 1/2 (*.f64 t t)) 5/6))
(if (<=.f64 t -5311415695872113/562949953421312) 5/6 (if (<=.f64 t 4490237324656149/36028797018963968) 1/2 5/6))
5/6
Outputs
(/.f64 (+.f64 (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)) 1) (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)))
(/.f64 (-.f64 -2 (+.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2) -1)) (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2)))
(/.f64 (+.f64 (-.f64 -2 (*.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) (+.f64 (/.f64 2 (+.f64 t 1)) -2))) 1) (-.f64 -2 (*.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2))))
(/.f64 (-.f64 -2 (+.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 t 1)) -2) 2) -1)) (-.f64 -2 (pow.f64 (+.f64 (/.f64 (/.f64 2 t) (/.f64 (+.f64 t 1) t)) -2) 2)))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
(+.f64 1 (/.f64 1 (-.f64 -2 (pow.f64 (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))))
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) (if (<=.f64 t 4490237324656149/36028797018963968) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t 2) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (fma.f64 1/27 (pow.f64 t -2) 1)) (if (<=.f64 t 4490237324656149/36028797018963968) (+.f64 1 (/.f64 -1 (fma.f64 (*.f64 t 2) (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 (/.f64 -1 t) -1))) 2))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 1 (/.f64 1/27 (*.f64 t t)))) (if (<=.f64 t 4490237324656149/36028797018963968) (+.f64 1/2 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (fma.f64 1/27 (pow.f64 t -2) 1)) (if (<=.f64 t 4490237324656149/36028797018963968) (fma.f64 t t 1/2) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 5/6 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)) (if (<=.f64 t 4490237324656149/36028797018963968) (+.f64 1/2 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) (if (<=.f64 t 4490237324656149/36028797018963968) (fma.f64 t t 1/2) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 4490237324656149/36028797018963968) (+.f64 1/2 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -5311415695872113/562949953421312) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 4490237324656149/36028797018963968) (fma.f64 t t 1/2) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -5311415695872113/562949953421312) 5/6 (if (<=.f64 t 4490237324656149/36028797018963968) (+.f64 1/2 (*.f64 t t)) 5/6))
(if (<=.f64 t -5311415695872113/562949953421312) 5/6 (if (<=.f64 t 4490237324656149/36028797018963968) (fma.f64 t t 1/2) 5/6))
(if (<=.f64 t -5311415695872113/562949953421312) 5/6 (if (<=.f64 t 4490237324656149/36028797018963968) 1/2 5/6))
5/6
Compiler

Compiled 272 to 219 computations (19.5% saved)

soundness0.0ms (0%)

end133.0ms (1.3%)

Compiler

Compiled 263 to 206 computations (21.7% saved)

Profiling

Loading profile data...