Details

Time bar (total: 13.0s)

analyze501.0ms (3.9%)

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 53 to 45 computations (15.1% saved)

sample2.4s (18.6%)

Results
2.3s8256×body256valid

preprocess59.0ms (0.5%)

Algorithm
egg-herbie
Rules
976×fma-def_binary64
668×div-sub_binary64
343×unsub-neg_binary64
342×times-frac_binary64
289×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01376
12272
24272
311748
436448
5155442
6561942
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 1 (*.f64 (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))))))
(/.f64 (fma.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 1) (fma.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2))
(/.f64 (fma.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 1) (fma.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))
(/.f64 (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 1) (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 2))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 -2 (+.f64 1 t)) (-.f64 4 (/.f64 2 (+.f64 1 t))) 6))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
Compiler

Compiled 53 to 45 computations (15.1% saved)

simplify58.0ms (0.4%)

Algorithm
egg-herbie
Rules
976×fma-def_binary64
668×div-sub_binary64
343×unsub-neg_binary64
342×times-frac_binary64
289×associate-/l*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01376
12272
24272
311748
436448
5155442
6561942
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 1 (*.f64 (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))))))
(/.f64 (fma.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 1) (fma.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2))
(/.f64 (fma.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 1) (fma.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))
(/.f64 (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 1) (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 2))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 -2 (+.f64 1 t)) (-.f64 4 (/.f64 2 (+.f64 1 t))) 6))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

eval2.0ms (0%)

Compiler

Compiled 81 to 69 computations (14.8% saved)

prune2.0ms (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 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 52 to 44 computations (15.4% saved)

localize65.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.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 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 159 to 131 computations (17.6% saved)

series5.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite604.0ms (4.7%)

Algorithm
batch-egg-rewrite
Rules
450×prod-diff_binary64
419×fma-def_binary64
344×log-div_binary64
278×expm1-udef_binary64
278×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013103
1314103
24717103
Stop Event
node limit
Counts
4 → 150
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 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2) (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 8 (/.f64 8 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 3))) (/.f64 1 (fma.f64 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (pow.f64 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))) 2)) (/.f64 1 (+.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 4) (-.f64 8 (/.f64 8 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (-.f64 4 (pow.f64 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (/.f64 8 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 3))) (fma.f64 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8 (/.f64 8 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 3)))) (neg.f64 (fma.f64 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))) 2))) (neg.f64 (+.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (-.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 t) (neg.f64 (/.f64 1 (+.f64 1 (/.f64 1 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2) (neg.f64 (cbrt.f64 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 2 t)) (hypot.f64 1 (pow.f64 t -1/2))) (neg.f64 (/.f64 (sqrt.f64 (/.f64 2 t)) (hypot.f64 1 (pow.f64 t -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 t) (/.f64 1 (+.f64 1 (/.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (cbrt.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 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simplify75.0ms (0.6%)

Algorithm
egg-herbie
Rules
693×fma-neg_binary64
495×distribute-lft-out_binary64
473×cancel-sign-sub-inv_binary64
472×distribute-rgt-out_binary64
425×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
085614
1256605
2670594
31906585
44770572
Stop Event
node limit
Counts
198 → 206
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)))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.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)))
(fma.f64 -2 (*.f64 t t) (*.f64 2 t))
(*.f64 t (+.f64 (*.f64 t -2) 2))
(*.f64 t (+.f64 2 (*.f64 t -2)))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
(fma.f64 2 t (fma.f64 -2 (*.f64 t t) (*.f64 2 (pow.f64 t 3))))
(fma.f64 2 t (fma.f64 2 (pow.f64 t 3) (*.f64 t (*.f64 t -2))))
(fma.f64 2 (pow.f64 t 3) (*.f64 t (+.f64 (*.f64 t -2) 2)))
(*.f64 t (+.f64 2 (*.f64 t (+.f64 (*.f64 2 t) -2))))
(+.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 (fma.f64 -2 (*.f64 t t) (fma.f64 -2 (pow.f64 t 4) (*.f64 2 (pow.f64 t 3)))))
(fma.f64 2 t (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 -2 (fma.f64 t t (pow.f64 t 4)))))
(fma.f64 -2 (fma.f64 t t (pow.f64 t 4)) (*.f64 2 (+.f64 (pow.f64 t 3) t)))
(*.f64 (fma.f64 t t 1) (*.f64 t (+.f64 2 (*.f64 t -2))))
(*.f64 (+.f64 2 (*.f64 t -2)) (+.f64 t (pow.f64 t 3)))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 t)))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (/.f64 -2 t)))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t)))
(+.f64 2 (*.f64 (/.f64 1 t) (+.f64 (/.f64 2 t) -2)))
(-.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 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (/.f64 -2 t))) (/.f64 2 (pow.f64 t 3)))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3)))))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (-.f64 (/.f64 -2 t) (/.f64 2 (pow.f64 t 3)))))
(*.f64 (+.f64 1 (/.f64 1 (*.f64 t t))) (-.f64 2 (/.f64 2 t)))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 t)))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (/.f64 -2 t)))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t)))
(+.f64 2 (*.f64 (/.f64 1 t) (+.f64 (/.f64 2 t) -2)))
(-.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 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (/.f64 -2 t))) (/.f64 2 (pow.f64 t 3)))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3)))))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (-.f64 (/.f64 -2 t) (/.f64 2 (pow.f64 t 3)))))
(*.f64 (+.f64 1 (/.f64 1 (*.f64 t t))) (-.f64 2 (/.f64 2 t)))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (pow.f64 t 3) -8 (*.f64 (*.f64 t t) 4))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))
(+.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 (*.f64 t t) 4)))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) 4)))
(fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))
(+.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 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) 4))))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 -16 (pow.f64 t 5) (fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) 4))))
(fma.f64 -16 (pow.f64 t 5) (fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))
(fma.f64 -16 (pow.f64 t 5) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12))))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)))
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 (/.f64 12 t) t))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t 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 (+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) (/.f64 16 (pow.f64 t 3)))
(+.f64 4 (-.f64 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)) (/.f64 16 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)) (-.f64 4 (/.f64 16 (pow.f64 t 3))))
(+.f64 4 (+.f64 (/.f64 -8 t) (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)))
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 (/.f64 12 t) t))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t 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 (+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) (/.f64 16 (pow.f64 t 3)))
(+.f64 4 (-.f64 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)) (/.f64 16 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)) (-.f64 4 (/.f64 16 (pow.f64 t 3))))
(+.f64 4 (+.f64 (/.f64 -8 t) (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 t t) 1/2)
(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) (+.f64 (*.f64 t t) 1/2))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4))))
(+.f64 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) (pow.f64 t 4))
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t (pow.f64 t 4))))
(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (+.f64 t -2)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 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 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t 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)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 -2/9 t))))
(+.f64 5/6 (-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t))))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.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 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t 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)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 -2/9 t))))
(+.f64 5/6 (-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t))))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t))))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(+.f64 2 (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 2)
(fma.f64 t (*.f64 t 4) 2)
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4)))
(+.f64 2 (fma.f64 (pow.f64 t 3) -8 (*.f64 (*.f64 t t) 4)))
(fma.f64 t (*.f64 t 4) (fma.f64 (pow.f64 t 3) -8 2))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 t (*.f64 t 4) 2))
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) 4))))
(+.f64 2 (fma.f64 (pow.f64 t 3) -8 (fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) 4))))
(+.f64 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))) (fma.f64 (pow.f64 t 4) 12 2))
(+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12))))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (/.f64 8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (-.f64 6 (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 6 (-.f64 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (+.f64 6 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (-.f64 6 (/.f64 8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (/.f64 8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (-.f64 6 (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 6 (-.f64 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (+.f64 6 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (-.f64 6 (/.f64 8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))

eval604.0ms (4.7%)

Compiler

Compiled 22652 to 19234 computations (15.1% saved)

prune97.0ms (0.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4179426
Fresh000
Picked011
Done000
Total41710427
Error
0b
Counts
427 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
25.0b
1/2
29.8b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
32.5b
(+.f64 5/6 (/.f64 -2/9 t))
0b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (-.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1)))
29.7b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
32.5b
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
27.1b
5/6
30.5b
(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) (+.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)))))))
29.7b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))
0.0b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 496 to 410 computations (17.3% saved)

localize106.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
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)))))
0.5b
(-.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1)
2.7b
(+.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 216 to 181 computations (16.2% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite93.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
521×prod-diff_binary64
505×fma-def_binary64
288×log-div_binary64
270×fma-neg_binary64
241×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01341
131335
2450035
Stop Event
node limit
Counts
2 → 141
Calls
Call 1
Inputs
(+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))
(-.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1)
Outputs
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simplify53.0ms (0.4%)

Algorithm
egg-herbie
Rules
851×fma-def_binary64
765×times-frac_binary64
523×fma-neg_binary64
511×distribute-lft-out_binary64
396×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
055324
1167324
2445315
31315298
44421285
Stop Event
node limit
Counts
165 → 170
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)))))
Outputs
(*.f64 2 t)
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (*.f64 -2 (*.f64 t t)))
(fma.f64 -2 (*.f64 t t) (*.f64 2 t))
(*.f64 t (+.f64 2 (*.f64 t -2)))
(*.f64 t (fma.f64 t -2 2))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
(fma.f64 2 t (fma.f64 -2 (*.f64 t t) (*.f64 2 (pow.f64 t 3))))
(fma.f64 2 t (fma.f64 2 (pow.f64 t 3) (*.f64 t (*.f64 t -2))))
(fma.f64 t (*.f64 t -2) (*.f64 2 (+.f64 t (pow.f64 t 3))))
(*.f64 t (+.f64 (*.f64 t (fma.f64 2 t -2)) 2))
(+.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 (fma.f64 -2 (*.f64 t t) (fma.f64 -2 (pow.f64 t 4) (*.f64 2 (pow.f64 t 3)))))
(fma.f64 2 t (fma.f64 -2 (*.f64 t t) (fma.f64 2 (pow.f64 t 3) (*.f64 -2 (pow.f64 t 4)))))
(fma.f64 -2 (fma.f64 t t (pow.f64 t 4)) (*.f64 2 (+.f64 t (pow.f64 t 3))))
(*.f64 (fma.f64 t t 1) (*.f64 t (fma.f64 t -2 2)))
(*.f64 (+.f64 t (pow.f64 t 3)) (fma.f64 t -2 2))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (/.f64 2 t))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (/.f64 -2 t)))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t)))
(+.f64 2 (*.f64 (/.f64 1 t) (+.f64 -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 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (/.f64 -2 t))) (/.f64 2 (pow.f64 t 3)))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3)))))
(*.f64 (+.f64 1 (/.f64 1 (*.f64 t t))) (-.f64 2 (/.f64 2 t)))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (/.f64 2 t))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (/.f64 -2 t)))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t)))
(+.f64 2 (*.f64 (/.f64 1 t) (+.f64 -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 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (/.f64 -2 t))) (/.f64 2 (pow.f64 t 3)))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3)))))
(*.f64 (+.f64 1 (/.f64 1 (*.f64 t t))) (-.f64 2 (/.f64 2 t)))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (pow.f64 t 3) -8 (*.f64 t (*.f64 t 4)))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 (*.f64 t t) (fma.f64 t -8 4))
(+.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 (*.f64 t t) 4)))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (pow.f64 t 4) 12 (*.f64 t (*.f64 t 4))))
(fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(fma.f64 t (*.f64 t (fma.f64 t -8 4)) (*.f64 (pow.f64 t 4) 12))
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (*.f64 (pow.f64 t 4) 12))
(+.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 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) 4))))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 -16 (pow.f64 t 5) (fma.f64 (pow.f64 t 4) 12 (*.f64 t (*.f64 t 4)))))
(fma.f64 -16 (pow.f64 t 5) (fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))
(fma.f64 t (*.f64 t (fma.f64 t -8 4)) (fma.f64 (pow.f64 t 4) 12 (*.f64 -16 (pow.f64 t 5))))
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (fma.f64 (pow.f64 t 4) 12 (*.f64 -16 (pow.f64 t 5))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (/.f64 8 t))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 (/.f64 12 t) 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 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (/.f64 -16 (pow.f64 t 3)) (-.f64 (/.f64 8 t) (/.f64 (/.f64 12 t) t))))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (/.f64 8 t))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 (/.f64 12 t) 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 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (/.f64 -16 (pow.f64 t 3)) (-.f64 (/.f64 8 t) (/.f64 (/.f64 12 t) t))))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite55.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
113911
2175911
Stop Event
node limit
Counts
2 → 51
Calls
Call 1
Inputs
(/.f64 -2/9 t)
(+.f64 5/6 (/.f64 -2/9 t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/9 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2/9 t)) (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) -2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2/9 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2/9 t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t -9/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2/9 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2/9 t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2/9 t)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 25/36 (-.f64 5/6 (/.f64 -2/9 t))) (/.f64 (pow.f64 (/.f64 -2/9 t) 2) (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (/.f64 1 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2)) (/.f64 1 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t))) (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 5/6 (/.f64 -2/9 t)) (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 (pow.f64 (/.f64 -2/9 t) 2) (-.f64 25/36 (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2)) (-.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3))) (neg.f64 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2))) (neg.f64 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.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 1 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 5/6)))))

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
16×fma-def_binary64
11×sub-neg_binary64
+-commutative_binary64
*-commutative_binary64
associate-+l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01069
12069
23169
34769
46269
58069
69869
711369
812069
Stop Event
saturated
Counts
63 → 55
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 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 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 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 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 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 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 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 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 t))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
0.0b
(-.f64 5/6 (/.f64 2/9 t))
0.3b
(/.f64 2/9 t)
0.7b
(/.f64 1/27 (*.f64 t t))
Compiler

Compiled 32 to 20 computations (37.5% saved)

series5.0ms (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 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
0.0ms
t
@inf
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))

rewrite146.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
492×log-prod_binary64
375×fma-def_binary64
338×pow-prod-down_binary64
306×pow2_binary64
238×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01034
124231
2354331
Stop Event
node limit
Counts
4 → 175
Calls
Call 1
Inputs
(/.f64 1/27 (*.f64 t t))
(/.f64 2/9 t)
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
Outputs
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simplify64.0ms (0.5%)

Algorithm
egg-herbie
Rules
750×distribute-neg-frac_binary64
461×fma-neg_binary64
450×div-sub_binary64
434×unswap-sqr_binary64
391×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
021285
147285
279285
3142285
4292285
5821285
63575273
76909273
Stop Event
node limit
Counts
211 → 185
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 -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)))
(/.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 -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 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 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 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 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 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 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 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 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 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 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -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 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 -2/9 t))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 -2/9 t))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 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 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 -2/9 t))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 -2/9 t))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 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 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 -2/9 t))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 -2/9 t))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)

localize90.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.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)))))
0.6b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
2.7b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Compiler

Compiled 132 to 105 computations (20.5% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite107.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
551×prod-diff_binary64
463×fma-def_binary64
324×expm1-udef_binary64
324×log1p-udef_binary64
219×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01647
137545
2542845
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (/.f64 1 (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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t))))) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (/.f64 1 (neg.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 t (*.f64 t 4) 2)) (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 1) (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)) 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*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2)) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (pow.f64 (*.f64 t t) 3) 64 8)) (fma.f64 (*.f64 4 (*.f64 t t)) (fma.f64 t (*.f64 t 4) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (-.f64 4 (pow.f64 (*.f64 4 (*.f64 t t)) 2))) (-.f64 2 (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 t) (+.f64 1 (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 t (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 t) (/.f64 1 (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 t) (/.f64 1 (+.f64 1 (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) 2)) (cbrt.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (pow.f64 t -2))) (*.f64 (cbrt.f64 (/.f64 2 t)) (/.f64 1 (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 2 t)) (hypot.f64 1 (pow.f64 t -1/2))) (/.f64 (sqrt.f64 (/.f64 2 t)) (hypot.f64 1 (pow.f64 t -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 t)) (*.f64 (sqrt.f64 (/.f64 2 t)) (/.f64 1 (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 t) (/.f64 1 (+.f64 -1 (neg.f64 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (/.f64 1 t))) (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 t -2))) 1) (/.f64 (cbrt.f64 (/.f64 2 t)) (+.f64 1 (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 2 t)) 1) (/.f64 (sqrt.f64 (/.f64 2 t)) (+.f64 1 (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 t))) 2)) (/.f64 (/.f64 2 t) (cbrt.f64 (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 t))) 2)) (/.f64 (/.f64 1 t) (cbrt.f64 (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 t -2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 t))) 2)) (cbrt.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 2 t)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 t))) 2)) (/.f64 (sqrt.f64 (/.f64 2 t)) (cbrt.f64 (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (pow.f64 t -1/2))) (/.f64 (/.f64 2 t) (hypot.f64 1 (pow.f64 t -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (hypot.f64 1 (pow.f64 t -1/2))) (/.f64 (/.f64 1 t) (hypot.f64 1 (pow.f64 t -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 t -2))) (hypot.f64 1 (pow.f64 t -1/2))) (/.f64 (cbrt.f64 (/.f64 2 t)) (hypot.f64 1 (pow.f64 t -1/2))))))) (#(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 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 t) (-.f64 1 (pow.f64 t -2))) (-.f64 1 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 2 t)) (hypot.f64 1 (pow.f64 t -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 (/.f64 1 t)) (*.f64 t 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 t) (+.f64 -1 (neg.f64 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 8 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 2 t)) (log1p.f64 (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 2 t)) (log1p.f64 (/.f64 1 t))) 1))))))

simplify52.0ms (0.4%)

Algorithm
egg-herbie
Rules
864×fma-neg_binary64
669×fma-def_binary64
640×cancel-sign-sub-inv_binary64
285×distribute-neg-frac_binary64
284×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
054390
1160386
2442377
31236368
44081360
Stop Event
node limit
Counts
98 → 103
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2)))
(+.f64 1/2 (+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2))))
(/.f64 5/4 (pow.f64 t 2))
(-.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 t 5))) (*.f64 2 (/.f64 1 (pow.f64 t 3)))))
(/.f64 5/4 (pow.f64 t 2))
(-.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 t 5))) (*.f64 2 (/.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
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2)))
(+.f64 1/2 (fma.f64 -4 (pow.f64 t 3) (*.f64 t t)))
(+.f64 (fma.f64 t t 1/2) (*.f64 -4 (pow.f64 t 3)))
(fma.f64 t t (fma.f64 -4 (pow.f64 t 3) 1/2))
(fma.f64 t (fma.f64 t (*.f64 t -4) t) 1/2)
(+.f64 1/2 (+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 t t))))
(+.f64 (fma.f64 4 (pow.f64 t 4) (*.f64 -4 (pow.f64 t 3))) (fma.f64 t t 1/2))
(fma.f64 4 (pow.f64 t 4) (fma.f64 t t (fma.f64 -4 (pow.f64 t 3) 1/2)))
(fma.f64 t (fma.f64 t (*.f64 t -4) t) (fma.f64 4 (pow.f64 t 4) 1/2))
(/.f64 5/4 (pow.f64 t 2))
(/.f64 5/4 (*.f64 t t))
(/.f64 (/.f64 5/4 t) t)
(-.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 2 (pow.f64 t 3)))
(+.f64 (/.f64 (/.f64 5/4 t) t) (/.f64 -2 (pow.f64 t 3)))
(+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3)))
(*.f64 (/.f64 1 (*.f64 t t)) (+.f64 5/4 (/.f64 -2 t)))
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 5/4 t) t) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 -2 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 19/8 (pow.f64 t 4))) (/.f64 -2 (pow.f64 t 3)))
(+.f64 (*.f64 (/.f64 1 (*.f64 t t)) (+.f64 5/4 (/.f64 -2 t))) (/.f64 19/8 (pow.f64 t 4)))
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 t 5))) (*.f64 2 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 19/8 (pow.f64 t 4))) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5))))
(+.f64 (/.f64 (/.f64 5/4 t) t) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))))
(+.f64 (/.f64 19/8 (pow.f64 t 4)) (-.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 -2 (pow.f64 t 3)) (-.f64 (/.f64 3 (pow.f64 t 5)) (/.f64 19/8 (pow.f64 t 4)))))
(+.f64 (/.f64 19/8 (pow.f64 t 4)) (fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 5/4 (/.f64 -2 t)) (/.f64 -3 (pow.f64 t 5))))
(/.f64 5/4 (pow.f64 t 2))
(/.f64 5/4 (*.f64 t t))
(/.f64 (/.f64 5/4 t) t)
(-.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 2 (pow.f64 t 3)))
(+.f64 (/.f64 (/.f64 5/4 t) t) (/.f64 -2 (pow.f64 t 3)))
(+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3)))
(*.f64 (/.f64 1 (*.f64 t t)) (+.f64 5/4 (/.f64 -2 t)))
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 5/4 t) t) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 -2 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 19/8 (pow.f64 t 4))) (/.f64 -2 (pow.f64 t 3)))
(+.f64 (*.f64 (/.f64 1 (*.f64 t t)) (+.f64 5/4 (/.f64 -2 t))) (/.f64 19/8 (pow.f64 t 4)))
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 t 5))) (*.f64 2 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 19/8 (pow.f64 t 4))) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5))))
(+.f64 (/.f64 (/.f64 5/4 t) t) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))))
(+.f64 (/.f64 19/8 (pow.f64 t 4)) (-.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 -2 (pow.f64 t 3)) (-.f64 (/.f64 3 (pow.f64 t 5)) (/.f64 19/8 (pow.f64 t 4)))))
(+.f64 (/.f64 19/8 (pow.f64 t 4)) (fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 5/4 (/.f64 -2 t)) (/.f64 -3 (pow.f64 t 5))))
2
(+.f64 2 (*.f64 -2 t))
(+.f64 2 (*.f64 t -2))
(fma.f64 t -2 2)
(+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))))
(+.f64 2 (fma.f64 -2 t (*.f64 2 (*.f64 t t))))
(+.f64 (fma.f64 t -2 2) (*.f64 t (*.f64 t 2)))
(fma.f64 t (*.f64 t 2) (fma.f64 t -2 2))
(fma.f64 t (fma.f64 t 2 -2) 2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 2 (fma.f64 -2 t (*.f64 2 (*.f64 t t)))))
(fma.f64 (pow.f64 t 3) -2 (+.f64 (fma.f64 t -2 2) (*.f64 t (*.f64 t 2))))
(+.f64 (fma.f64 t -2 2) (*.f64 (*.f64 t t) (fma.f64 t -2 2)))
(*.f64 (fma.f64 t t 1) (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 t) (/.f64 2 (*.f64 t t)))
(+.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 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 (/.f64 2 t) 2)))
(-.f64 (/.f64 2 t) (*.f64 (/.f64 1 (*.f64 t t)) (+.f64 2 (/.f64 -2 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 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4)))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t))) (/.f64 2 (pow.f64 t 4))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 -2 (*.f64 t t)) (/.f64 -2 (pow.f64 t 4)))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 -2 (*.f64 t t)) (/.f64 -2 (pow.f64 t 4)))))
(+.f64 (/.f64 2 t) (fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 (/.f64 2 t) -2) (/.f64 -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 t) (/.f64 2 (*.f64 t t)))
(+.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 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 (/.f64 2 t) 2)))
(-.f64 (/.f64 2 t) (*.f64 (/.f64 1 (*.f64 t t)) (+.f64 2 (/.f64 -2 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 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4)))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t))) (/.f64 2 (pow.f64 t 4))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 -2 (*.f64 t t)) (/.f64 -2 (pow.f64 t 4)))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 -2 (*.f64 t t)) (/.f64 -2 (pow.f64 t 4)))))
(+.f64 (/.f64 2 t) (fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 (/.f64 2 t) -2) (/.f64 -2 (pow.f64 t 4))))

localize73.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
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)))))
0.0b
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))
0.2b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
2.7b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Compiler

Compiled 157 to 124 computations (21% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
t
@inf
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
1.0ms
t
@-inf
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
1.0ms
t
@inf
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))
1.0ms
t
@0
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
0.0ms
t
@-inf
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))

rewrite90.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
826×prod-diff_binary64
229×add-sqr-sqrt_binary64
222×pow1_binary64
221×*-un-lft-identity_binary64
215×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01953
145147
2658947
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 2) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (*.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (/.f64 1 (neg.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) 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simplify51.0ms (0.4%)

Algorithm
egg-herbie
Rules
845×times-frac_binary64
492×unswap-sqr_binary64
451×associate-*l/_binary64
345×fma-def_binary64
332×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045354
1117350
2308339
3857321
43241321
Stop Event
node limit
Counts
80 → 76
Calls
Call 1
Inputs
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 (*.f64 4 (pow.f64 t 4)) (pow.f64 t 2))))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (*.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (*.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (*.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (*.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(*.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 4 (pow.f64 t 2)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(*.f64 -8 (pow.f64 t 3))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.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 4 (pow.f64 t 2)))
(*.f64 -8 (pow.f64 t 3))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.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 4 (pow.f64 t 2)))
Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(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) (+.f64 1/2 (*.f64 t t)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t (fma.f64 (*.f64 t t) -2 t) 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (*.f64 4 (pow.f64 t 4)) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 4 (pow.f64 t 4) (*.f64 t t))))
(+.f64 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) (*.f64 4 (pow.f64 t 4)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t (fma.f64 4 (pow.f64 t 4) 1/2)))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) (fma.f64 4 (pow.f64 t 4) 1/2)))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 5/8 (pow.f64 t 3)))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 -5/8 (pow.f64 t 3)))
(-.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (*.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (-.f64 (/.f64 -37/32 (pow.f64 t 5)) (/.f64 5/8 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (*.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 81/64 (pow.f64 t 6))) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (-.f64 (/.f64 81/64 (pow.f64 t 6)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5)))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5)))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -37/32 (pow.f64 t 5)) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (/.f64 -5/8 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 -5/8 (pow.f64 t 3))) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (/.f64 -37/32 (pow.f64 t 5))))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 5/8 (pow.f64 t 3)))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 -5/8 (pow.f64 t 3)))
(-.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (*.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (-.f64 (/.f64 -37/32 (pow.f64 t 5)) (/.f64 5/8 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (*.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 81/64 (pow.f64 t 6))) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (-.f64 (/.f64 81/64 (pow.f64 t 6)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5)))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5)))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -37/32 (pow.f64 t 5)) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (/.f64 -5/8 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 -5/8 (pow.f64 t 3))) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (/.f64 -37/32 (pow.f64 t 5))))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 (*.f64 t -8) 4))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 (*.f64 t t) (fma.f64 t -8 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 (*.f64 t -8) 4))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 (*.f64 t t) (fma.f64 t -8 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 (*.f64 t -8) 4))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 (*.f64 t t) (fma.f64 t -8 4))
(*.f64 -8 (pow.f64 t 3))
(*.f64 (pow.f64 t 3) -8)
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 (*.f64 t -8) 4))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 (*.f64 t t) (fma.f64 t -8 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 (*.f64 t -8) 4))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 (*.f64 t t) (fma.f64 t -8 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 (*.f64 t -8) 4))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 (*.f64 t t) (fma.f64 t -8 4))
(*.f64 -8 (pow.f64 t 3))
(*.f64 (pow.f64 t 3) -8)
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 (*.f64 t -8) 4))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 (*.f64 t t) (fma.f64 t -8 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 (*.f64 t -8) 4))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 (*.f64 t t) (fma.f64 t -8 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 (*.f64 t -8) 4))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 (*.f64 t t) (fma.f64 t -8 4))

eval1.4s (11.2%)

Compiler

Compiled 42630 to 35550 computations (16.6% saved)

prune264.0ms (2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New112561131
Fresh134
Picked101
Done235
Total1129121141
Error
0b
Counts
1141 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
28.1b
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
25.0b
1/2
30.5b
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
29.7b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
29.1b
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
32.5b
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
32.5b
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
29.7b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))
32.5b
(+.f64 5/6 (/.f64 -2/9 t))
27.1b
5/6
30.5b
(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) (+.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 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 434 to 346 computations (20.3% saved)

localize19.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
16.7b
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
Compiler

Compiled 42 to 30 computations (28.6% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite60.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
582×prod-diff_binary64
495×log-prod_binary64
383×fma-def_binary64
297×pow-prod-down_binary64
268×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01022
121818
2287518
Stop Event
node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 t (*.f64 t 4) 1) (/.f64 1 (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -2)) (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) (*.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 1)) (/.f64 1 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 t 2)) (*.f64 (hypot.f64 1 (*.f64 t 2)) (/.f64 1 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 t (*.f64 t 4) 1)) (/.f64 1 (neg.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 4 (*.f64 t t) 2)) (fma.f64 t (*.f64 t 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) 1) (/.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 1)) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) 1) (/.f64 (hypot.f64 1 (*.f64 t 2)) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 2)) -2) (/.f64 (fma.f64 t (*.f64 t 4) 1) (cbrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) (pow.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (pow.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 2)) 2)) (/.f64 (hypot.f64 1 (*.f64 t 2)) (cbrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 2) -1/2) (/.f64 (fma.f64 t (*.f64 t 4) 1) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) (/.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 1)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 (pow.f64 t 6) 64 8)) (fma.f64 (*.f64 4 (*.f64 t t)) (fma.f64 4 (*.f64 t t) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (-.f64 4 (*.f64 (pow.f64 t 4) 16))) (-.f64 2 (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 6) (pow.f64 (fma.f64 4 (*.f64 t t) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (neg.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 6) (pow.f64 (fma.f64 4 (*.f64 t t) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))) 1))))))

simplify55.0ms (0.4%)

Algorithm
egg-herbie
Rules
784×distribute-neg-frac_binary64
611×times-frac_binary64
388×associate-/l/_binary64
285×unswap-sqr_binary64
268×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032159
187157
2212153
3563153
42140153
56512153
Stop Event
node limit
Counts
53 → 55
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2)))
(+.f64 1/2 (+.f64 (*.f64 4 (pow.f64 t 6)) (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2)))
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 4) (*.f64 t t)))
(+.f64 1/2 (fma.f64 t t (*.f64 -2 (pow.f64 t 4))))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 4) 1/2))
(+.f64 1/2 (+.f64 (*.f64 4 (pow.f64 t 6)) (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 6) (fma.f64 -2 (pow.f64 t 4) (*.f64 t t))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 6) (fma.f64 t t (*.f64 -2 (pow.f64 t 4)))))
(fma.f64 4 (pow.f64 t 6) (fma.f64 t t (fma.f64 -2 (pow.f64 t 4) 1/2)))
(fma.f64 -2 (pow.f64 t 4) (fma.f64 4 (pow.f64 t 6) (fma.f64 t t 1/2)))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 4) (fma.f64 4 (pow.f64 t 6) 1/2)))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 1 (/.f64 1/4 (*.f64 t t)))
(+.f64 1 (/.f64 -1/4 (*.f64 t t)))
(+.f64 1 (/.f64 (/.f64 -1/4 t) t))
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t))))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 1 (/.f64 -1/4 (*.f64 t t))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 (/.f64 -1/4 t) t)))
(+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 1/8 (pow.f64 t 4)))
(+.f64 (-.f64 1 (/.f64 1/4 (*.f64 t t))) (/.f64 1/8 (pow.f64 t 4)))
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/16 (pow.f64 t 6))) (/.f64 (/.f64 -1/4 t) t)))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 -1/16 (pow.f64 t 6))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (-.f64 (/.f64 -1/16 (pow.f64 t 6)) (/.f64 1/4 (*.f64 t t)))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 1 (/.f64 1/4 (*.f64 t t)))
(+.f64 1 (/.f64 -1/4 (*.f64 t t)))
(+.f64 1 (/.f64 (/.f64 -1/4 t) t))
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t))))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 1 (/.f64 -1/4 (*.f64 t t))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 (/.f64 -1/4 t) t)))
(+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 1/8 (pow.f64 t 4)))
(+.f64 (-.f64 1 (/.f64 1/4 (*.f64 t t))) (/.f64 1/8 (pow.f64 t 4)))
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/16 (pow.f64 t 6))) (/.f64 (/.f64 -1/4 t) t)))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 -1/16 (pow.f64 t 6))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (-.f64 (/.f64 -1/16 (pow.f64 t 6)) (/.f64 1/4 (*.f64 t t)))))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
0.0b
(-.f64 2/9 (/.f64 1/27 t))
0.2b
(/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)
0.4b
(/.f64 1/27 t)
Compiler

Compiled 29 to 22 computations (24.1% saved)

series6.0ms (0%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
2.0ms
t
@inf
(/.f64 1/27 t)
1.0ms
t
@-inf
(/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)
1.0ms
t
@0
(/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)
1.0ms
t
@0
(/.f64 1/27 t)
0.0ms
t
@inf
(/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)

rewrite97.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
484×log-prod_binary64
285×pow2_binary64
266×prod-diff_binary64
242×pow-prod-down_binary64
198×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
121934
2303534
Stop Event
node limit
Counts
4 → 234
Calls
Call 1
Inputs
(/.f64 1/27 t)
(/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)
(-.f64 2/9 (/.f64 1/27 t))
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
Outputs
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(/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 2/9 (/.f64 1/27 t)) (neg.f64 (/.f64 1 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 -2/9 (neg.f64 (/.f64 -1/27 t))) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t) 2)) (neg.f64 (cbrt.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) (neg.f64 (sqrt.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -2/9 (neg.f64 (/.f64 -1/27 t))) (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -2/9 (neg.f64 (/.f64 -1/27 t))) t)) 2) (cbrt.f64 (/.f64 (+.f64 -2/9 (neg.f64 (/.f64 -1/27 t))) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 -2/9 (neg.f64 (/.f64 -1/27 t))) t)) (sqrt.f64 (/.f64 (+.f64 -2/9 (neg.f64 (/.f64 -1/27 t))) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t) 2))) (cbrt.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))) (sqrt.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) 5/6)))))

simplify76.0ms (0.6%)

Algorithm
egg-herbie
Rules
987×fma-neg_binary64
601×associate-/l*_binary64
541×fma-def_binary64
445×associate-/r/_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
026333
164333
2116333
3227333
4549333
51981321
65859321
Stop Event
node limit
Counts
270 → 252
Calls
Call 1
Inputs
(/.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 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(/.f64 2/9 t)
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(/.f64 2/9 t)
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(/.f64 -1/27 t)
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
2/9
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
2/9
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(/.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 t) t)
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 2/9 t) (/.f64 (/.f64 -1/27 t) t))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 2/9 t) (/.f64 (/.f64 -1/27 t) t))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 2/9 t) (/.f64 (/.f64 -1/27 t) t))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -2/9 t))
(/.f64 2/9 t)
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 2/9 t) (/.f64 (/.f64 -1/27 t) t))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 2/9 t) (/.f64 (/.f64 -1/27 t) t))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 2/9 t) (/.f64 (/.f64 -1/27 t) t))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -2/9 t))
(/.f64 2/9 t)
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 2/9 t) (/.f64 (/.f64 -1/27 t) t))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 2/9 t) (/.f64 (/.f64 -1/27 t) t))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 2/9 t) (/.f64 (/.f64 -1/27 t) t))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -2/9 t))
(/.f64 -1/27 t)
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (/.f64 1/27 t))
(+.f64 2/9 (/.f64 -1/27 t))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (/.f64 1/27 t))
(+.f64 2/9 (/.f64 -1/27 t))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (/.f64 1/27 t))
(+.f64 2/9 (/.f64 -1/27 t))
2/9
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (/.f64 1/27 t))
(+.f64 2/9 (/.f64 -1/27 t))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (/.f64 1/27 t))
(+.f64 2/9 (/.f64 -1/27 t))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (/.f64 1/27 t))
(+.f64 2/9 (/.f64 -1/27 t))
2/9
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (/.f64 1/27 t))
(+.f64 2/9 (/.f64 -1/27 t))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (/.f64 1/27 t))
(+.f64 2/9 (/.f64 -1/27 t))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (/.f64 1/27 t))
(+.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 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) -5/6))
(fma.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9) 5/6)
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) -5/6))
(fma.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9) 5/6)
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (/.f64 -2/9 t) -5/6)
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) -5/6))
(fma.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9) 5/6)
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) -5/6))
(fma.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9) 5/6)
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (/.f64 -2/9 t) -5/6)
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) -5/6))
(fma.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9) 5/6)
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) -5/6))
(fma.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9) 5/6)

localize53.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 t (+.f64 4 (*.f64 t -8)))
0.0b
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))
21.7b
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
Compiler

Compiled 75 to 54 computations (28% saved)

series16.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
12.0ms
t
@-inf
(*.f64 t (+.f64 4 (*.f64 t -8)))
1.0ms
t
@0
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
1.0ms
t
@0
(*.f64 t (+.f64 4 (*.f64 t -8)))
1.0ms
t
@inf
(*.f64 t (+.f64 4 (*.f64 t -8)))
1.0ms
t
@inf
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t 4))))

rewrite93.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
969×prod-diff_binary64
650×fma-def_binary64
282×expm1-udef_binary64
282×log1p-udef_binary64
253×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01538
133530
2454130
Stop Event
node limit
Counts
2 → 98
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(*.f64 t (+.f64 4 (*.f64 t -8)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 t (*.f64 t 4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (/.f64 1 (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 t (*.f64 t 4) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 t (*.f64 t 4) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 t (*.f64 t 4) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 t (*.f64 t 4) 2))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t 4) (*.f64 -8 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t 4) (*.f64 (*.f64 -8 (*.f64 t t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -8 (*.f64 t t)) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (fma.f64 t -8 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 t 4) 3) (pow.f64 (*.f64 -8 (*.f64 t t)) 3)) (fma.f64 (*.f64 t t) 16 (-.f64 (*.f64 (*.f64 -8 (*.f64 t t)) (*.f64 -8 (*.f64 t t))) (*.f64 (*.f64 t 4) (*.f64 -8 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 t t) 16) (*.f64 (*.f64 -8 (*.f64 t t)) (*.f64 -8 (*.f64 t t)))) (-.f64 (*.f64 t 4) (*.f64 -8 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 t 3) -512 64) t) (fma.f64 (*.f64 t -8) (fma.f64 t -8 -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (*.f64 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(*.f64 t (fma.f64 t -8 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (fma.f64 t -8 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 t -8 4) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (fma.f64 t -8 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (fma.f64 t -8 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (fma.f64 t -8 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (fma.f64 t -8 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 t 4) (*.f64 -8 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 t 4) (*.f64 (*.f64 -8 (*.f64 t t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -8 (*.f64 t t)) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t 4 (*.f64 -8 (*.f64 t t)))))) (#(struct:change #<rule 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t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 t t) 16)) (cbrt.f64 (*.f64 t 4)) (*.f64 -8 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 t t) 16)) (cbrt.f64 (*.f64 t 4)) (*.f64 (*.f64 -8 (*.f64 t t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 t t) 64)) (*.f64 (cbrt.f64 (*.f64 t -8)) t) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (*.f64 t -8)) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) 4) (*.f64 -8 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) 4) (*.f64 (*.f64 -8 (*.f64 t t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 t)) (*.f64 2 (sqrt.f64 t)) (*.f64 -8 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 t)) (*.f64 2 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t -8) (sqrt.f64 t)) (sqrt.f64 t) (*.f64 t 4))))))

simplify45.0ms (0.3%)

Algorithm
egg-herbie
Rules
923×fma-def_binary64
803×unswap-sqr_binary64
542×associate-/r*_binary64
523×associate-/l/_binary64
456×times-frac_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033252
184238
2190225
3510207
41542204
54027204
Stop Event
node limit
Counts
122 → 120
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2)))
(+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2))))
(*.f64 -2 t)
(+.f64 1 (*.f64 -2 t))
(+.f64 1 (+.f64 (/.f64 1 t) (*.f64 -2 t)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 t) (*.f64 -2 t))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(*.f64 -2 t)
(+.f64 1 (*.f64 -2 t))
(+.f64 1 (+.f64 (/.f64 1 t) (*.f64 -2 t)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 t) (*.f64 -2 t))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(*.f64 4 t)
(+.f64 (*.f64 -8 (pow.f64 t 2)) (*.f64 4 t))
(+.f64 (*.f64 -8 (pow.f64 t 2)) (*.f64 4 t))
(+.f64 (*.f64 -8 (pow.f64 t 2)) (*.f64 4 t))
(*.f64 -8 (pow.f64 t 2))
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2)))
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2)))
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2)))
(*.f64 -8 (pow.f64 t 2))
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2)))
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2)))
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2)))
Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2)))
(+.f64 1/2 (fma.f64 -4 (pow.f64 t 3) (*.f64 t t)))
(+.f64 1/2 (fma.f64 t t (*.f64 -4 (pow.f64 t 3))))
(fma.f64 -4 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t (fma.f64 t (*.f64 t -4) t) 1/2)
(fma.f64 t t (fma.f64 -4 (pow.f64 t 3) 1/2))
(+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2))))
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 t t))))
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 4) (fma.f64 t t (*.f64 -4 (pow.f64 t 3)))))
(fma.f64 -2 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (fma.f64 t t 1/2)))
(fma.f64 t t (fma.f64 -4 (pow.f64 t 3) (fma.f64 -2 (pow.f64 t 4) 1/2)))
(fma.f64 t t (fma.f64 (pow.f64 t 3) (fma.f64 t -2 -4) 1/2))
(fma.f64 (pow.f64 t 3) (fma.f64 t -2 -4) (fma.f64 t t 1/2))
(*.f64 -2 t)
(*.f64 t -2)
(+.f64 1 (*.f64 -2 t))
(+.f64 (*.f64 t -2) 1)
(fma.f64 t -2 1)
(+.f64 1 (+.f64 (/.f64 1 t) (*.f64 -2 t)))
(+.f64 1 (+.f64 (*.f64 t -2) (/.f64 1 t)))
(+.f64 1 (fma.f64 t -2 (/.f64 1 t)))
(fma.f64 t -2 (+.f64 1 (/.f64 1 t)))
(+.f64 (fma.f64 t -2 1) (/.f64 1 t))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 t) (*.f64 -2 t))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 1 (-.f64 (+.f64 (*.f64 t -2) (/.f64 1 t)) (/.f64 1/4 (*.f64 t t))))
(+.f64 1 (+.f64 (fma.f64 t -2 (/.f64 1 t)) (/.f64 -1/4 (*.f64 t t))))
(+.f64 (fma.f64 t -2 (+.f64 1 (/.f64 1 t))) (/.f64 -1/4 (*.f64 t t)))
(+.f64 1 (+.f64 (/.f64 1 t) (fma.f64 t -2 (/.f64 (/.f64 -1/4 t) t))))
(+.f64 (fma.f64 t -2 1) (*.f64 (+.f64 (/.f64 -1/4 t) 1) (/.f64 1 t)))
(*.f64 -2 t)
(*.f64 t -2)
(+.f64 1 (*.f64 -2 t))
(+.f64 (*.f64 t -2) 1)
(fma.f64 t -2 1)
(+.f64 1 (+.f64 (/.f64 1 t) (*.f64 -2 t)))
(+.f64 1 (+.f64 (*.f64 t -2) (/.f64 1 t)))
(+.f64 1 (fma.f64 t -2 (/.f64 1 t)))
(fma.f64 t -2 (+.f64 1 (/.f64 1 t)))
(+.f64 (fma.f64 t -2 1) (/.f64 1 t))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 t) (*.f64 -2 t))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 1 (-.f64 (+.f64 (*.f64 t -2) (/.f64 1 t)) (/.f64 1/4 (*.f64 t t))))
(+.f64 1 (+.f64 (fma.f64 t -2 (/.f64 1 t)) (/.f64 -1/4 (*.f64 t t))))
(+.f64 (fma.f64 t -2 (+.f64 1 (/.f64 1 t))) (/.f64 -1/4 (*.f64 t t)))
(+.f64 1 (+.f64 (/.f64 1 t) (fma.f64 t -2 (/.f64 (/.f64 -1/4 t) t))))
(+.f64 (fma.f64 t -2 1) (*.f64 (+.f64 (/.f64 -1/4 t) 1) (/.f64 1 t)))
(*.f64 4 t)
(*.f64 t 4)
(+.f64 (*.f64 -8 (pow.f64 t 2)) (*.f64 4 t))
(fma.f64 -8 (*.f64 t t) (*.f64 t 4))
(fma.f64 t 4 (*.f64 (*.f64 t t) -8))
(*.f64 t (+.f64 4 (*.f64 t -8)))
(*.f64 t (fma.f64 t -8 4))
(+.f64 (*.f64 -8 (pow.f64 t 2)) (*.f64 4 t))
(fma.f64 -8 (*.f64 t t) (*.f64 t 4))
(fma.f64 t 4 (*.f64 (*.f64 t t) -8))
(*.f64 t (+.f64 4 (*.f64 t -8)))
(*.f64 t (fma.f64 t -8 4))
(+.f64 (*.f64 -8 (pow.f64 t 2)) (*.f64 4 t))
(fma.f64 -8 (*.f64 t t) (*.f64 t 4))
(fma.f64 t 4 (*.f64 (*.f64 t t) -8))
(*.f64 t (+.f64 4 (*.f64 t -8)))
(*.f64 t (fma.f64 t -8 4))
(*.f64 -8 (pow.f64 t 2))
(*.f64 (*.f64 t t) -8)
(*.f64 t (*.f64 t -8))
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2)))
(fma.f64 -8 (*.f64 t t) (*.f64 t 4))
(fma.f64 t 4 (*.f64 (*.f64 t t) -8))
(*.f64 t (+.f64 4 (*.f64 t -8)))
(*.f64 t (fma.f64 t -8 4))
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2)))
(fma.f64 -8 (*.f64 t t) (*.f64 t 4))
(fma.f64 t 4 (*.f64 (*.f64 t t) -8))
(*.f64 t (+.f64 4 (*.f64 t -8)))
(*.f64 t (fma.f64 t -8 4))
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2)))
(fma.f64 -8 (*.f64 t t) (*.f64 t 4))
(fma.f64 t 4 (*.f64 (*.f64 t t) -8))
(*.f64 t (+.f64 4 (*.f64 t -8)))
(*.f64 t (fma.f64 t -8 4))
(*.f64 -8 (pow.f64 t 2))
(*.f64 (*.f64 t t) -8)
(*.f64 t (*.f64 t -8))
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2)))
(fma.f64 -8 (*.f64 t t) (*.f64 t 4))
(fma.f64 t 4 (*.f64 (*.f64 t t) -8))
(*.f64 t (+.f64 4 (*.f64 t -8)))
(*.f64 t (fma.f64 t -8 4))
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2)))
(fma.f64 -8 (*.f64 t t) (*.f64 t 4))
(fma.f64 t 4 (*.f64 (*.f64 t t) -8))
(*.f64 t (+.f64 4 (*.f64 t -8)))
(*.f64 t (fma.f64 t -8 4))
(+.f64 (*.f64 4 t) (*.f64 -8 (pow.f64 t 2)))
(fma.f64 -8 (*.f64 t t) (*.f64 t 4))
(fma.f64 t 4 (*.f64 (*.f64 t t) -8))
(*.f64 t (+.f64 4 (*.f64 t -8)))
(*.f64 t (fma.f64 t -8 4))

localize28.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 t (+.f64 4 (*.f64 t -8)))
0.0b
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))
21.8b
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
Compiler

Compiled 75 to 55 computations (26.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
t
@inf
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
0.0ms
t
@0
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
0.0ms
t
@-inf
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))

rewrite65.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
923×prod-diff_binary64
532×fma-def_binary64
248×expm1-udef_binary64
248×log1p-udef_binary64
236×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01334
129426
2404726
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (/.f64 1 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) 2)) (*.f64 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1)) (/.f64 1 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))) (sqrt.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t -8 4)))) (*.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t -8 4)))) (/.f64 1 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1)) (/.f64 1 (neg.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1)) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t -8 4)))) 1) (/.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t -8 4)))) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2) 2))) (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (cbrt.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) 2)) (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2) 2))) (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t -8 4)))) (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2) 2))) (/.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t -8 4)))) (cbrt.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))) (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (sqrt.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) 2)) (sqrt.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))) (/.f64 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1)) (sqrt.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (+.f64 8 (pow.f64 (*.f64 (fma.f64 t -8 4) (*.f64 t t)) 3))) (fma.f64 (*.f64 (fma.f64 t -8 4) (*.f64 t t)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (-.f64 4 (pow.f64 (*.f64 (fma.f64 t -8 4) (*.f64 t t)) 2))) (-.f64 2 (*.f64 (fma.f64 t -8 4) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (neg.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) 3) (pow.f64 (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1) (fma.f64 (fma.f64 t -8 4) (*.f64 t t) 2))) 1))))))

simplify72.0ms (0.6%)

Algorithm
egg-herbie
Rules
980×fma-def_binary64
806×associate-/r/_binary64
716×associate-/r*_binary64
305×distribute-rgt-out_binary64
293×distribute-lft-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035159
190155
2209153
3506153
41422150
55525150
67233150
77644150
Stop Event
node limit
Counts
47 → 49
Calls
Call 1
Inputs
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 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
1
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5))))))
Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(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) (+.f64 1/2 (*.f64 t t)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) 1/2))
(fma.f64 t (fma.f64 (*.f64 t t) -2 t) 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 -2 (pow.f64 t 4) (*.f64 t t))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 t t (*.f64 -2 (pow.f64 t 4)))))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t (fma.f64 -2 (pow.f64 t 4) 1/2)))
(fma.f64 t (fma.f64 (*.f64 t t) -2 t) (fma.f64 -2 (pow.f64 t 4) 1/2))
(fma.f64 (pow.f64 t 3) (fma.f64 t -2 -2) (fma.f64 t t 1/2))
1
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(+.f64 1 (/.f64 1/8 (pow.f64 t 3)))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (/.f64 1/16 (pow.f64 t 4))))
(+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/8 (pow.f64 t 3))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (/.f64 1/16 (pow.f64 t 4))))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5))))))
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))))
1
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(+.f64 1 (/.f64 1/8 (pow.f64 t 3)))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (/.f64 1/16 (pow.f64 t 4))))
(+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/8 (pow.f64 t 3))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (/.f64 1/16 (pow.f64 t 4))))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5))))))
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))))

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.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 t))
2.7b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
16.1b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
Compiler

Compiled 111 to 86 computations (22.5% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite87.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
937×prod-diff_binary64
344×log1p-udef_binary64
202×add-sqr-sqrt_binary64
196×*-un-lft-identity_binary64
196×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01759
139855
2580655
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (/.f64 1 (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) (*.f64 (sqrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2))) (sqrt.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) (/.f64 1 (neg.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 t (*.f64 t 4) 2)) (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) 1) (/.f64 (sqrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)) 2)) (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (cbrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)) 2)) (/.f64 (sqrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) (cbrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) 2) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (cbrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (+.f64 8 (*.f64 (pow.f64 (*.f64 t t) 3) 64))) (+.f64 4 (*.f64 (*.f64 t (*.f64 t 4)) (-.f64 (*.f64 t (*.f64 t 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (-.f64 4 (pow.f64 (*.f64 t (*.f64 t 4)) 2))) (-.f64 2 (*.f64 t (*.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 t (*.f64 t 4) 2) (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (neg.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) 3) (pow.f64 (fma.f64 t (*.f64 t 4) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 2 t)) (*.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) (*.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 t) 2) (*.f64 (*.f64 2 t) (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 8 (/.f64 8 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 3))) (*.f64 2 t)) (+.f64 4 (*.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (pow.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) 2)) (*.f64 2 t)) (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 t) (-.f64 8 (/.f64 8 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 3)))) (+.f64 4 (*.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 t) (-.f64 4 (pow.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) 2))) (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (*.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))) 1))))))

simplify48.0ms (0.4%)

Algorithm
egg-herbie
Rules
673×fma-def_binary64
461×times-frac_binary64
385×fma-neg_binary64
339×associate-*r/_binary64
338×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052335
1152329
2406323
31146316
43558316
Stop Event
node limit
Counts
78 → 84
Calls
Call 1
Inputs
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 2) (*.f64 2 (pow.f64 t 5)))))
(/.f64 1 t)
(-.f64 (/.f64 1 t) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (+.f64 (*.f64 5/8 (/.f64 1 (pow.f64 t 4))) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))))
(/.f64 1 t)
(-.f64 (/.f64 1 t) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (+.f64 (*.f64 5/8 (/.f64 1 (pow.f64 t 4))) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))))
(*.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)))))
Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(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) (+.f64 1/2 (*.f64 t t)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 2) (*.f64 2 (pow.f64 t 5)))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (*.f64 2 (pow.f64 t 5)))))
(+.f64 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) (*.f64 2 (pow.f64 t 5)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 2 (pow.f64 t 5) (fma.f64 t t 1/2)))
(fma.f64 t t (fma.f64 2 (pow.f64 t 5) (fma.f64 -2 (pow.f64 t 3) 1/2)))
(/.f64 1 t)
(-.f64 (/.f64 1 t) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 1 t) (/.f64 3/4 (*.f64 t t)))
(-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t))
(+.f64 (/.f64 1 t) (/.f64 -3/4 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/2 (pow.f64 t 3)) (-.f64 (/.f64 1 t) (/.f64 3/4 (*.f64 t t))))
(+.f64 (/.f64 1 t) (-.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 (/.f64 3/4 t) t)))
(+.f64 (-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t)) (/.f64 1/2 (pow.f64 t 3)))
(+.f64 (/.f64 1 t) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -3/4 (*.f64 t t))))
(-.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 3/4 (*.f64 t t)) (/.f64 -1 t)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (+.f64 (*.f64 5/8 (/.f64 1 (pow.f64 t 4))) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 1 t) (/.f64 1/2 (pow.f64 t 3))) (+.f64 (/.f64 3/4 (*.f64 t t)) (/.f64 5/8 (pow.f64 t 4))))
(+.f64 (/.f64 1 t) (-.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 3/4 t) t) (/.f64 5/8 (pow.f64 t 4)))))
(+.f64 (-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t)) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -5/8 (pow.f64 t 4))))
(+.f64 (+.f64 (/.f64 1 t) (/.f64 -3/4 (*.f64 t t))) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -5/8 (pow.f64 t 4))))
(+.f64 (/.f64 1 t) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 -3/4 (*.f64 t t)) (/.f64 -5/8 (pow.f64 t 4)))))
(/.f64 1 t)
(-.f64 (/.f64 1 t) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 1 t) (/.f64 3/4 (*.f64 t t)))
(-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t))
(+.f64 (/.f64 1 t) (/.f64 -3/4 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/2 (pow.f64 t 3)) (-.f64 (/.f64 1 t) (/.f64 3/4 (*.f64 t t))))
(+.f64 (/.f64 1 t) (-.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 (/.f64 3/4 t) t)))
(+.f64 (-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t)) (/.f64 1/2 (pow.f64 t 3)))
(+.f64 (/.f64 1 t) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -3/4 (*.f64 t t))))
(-.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 3/4 (*.f64 t t)) (/.f64 -1 t)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (+.f64 (*.f64 5/8 (/.f64 1 (pow.f64 t 4))) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 1 t) (/.f64 1/2 (pow.f64 t 3))) (+.f64 (/.f64 3/4 (*.f64 t t)) (/.f64 5/8 (pow.f64 t 4))))
(+.f64 (/.f64 1 t) (-.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 3/4 t) t) (/.f64 5/8 (pow.f64 t 4)))))
(+.f64 (-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t)) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -5/8 (pow.f64 t 4))))
(+.f64 (+.f64 (/.f64 1 t) (/.f64 -3/4 (*.f64 t t))) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -5/8 (pow.f64 t 4))))
(+.f64 (/.f64 1 t) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 -3/4 (*.f64 t t)) (/.f64 -5/8 (pow.f64 t 4)))))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -4)))
(*.f64 (*.f64 t t) (fma.f64 t -4 4))
(+.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 (*.f64 t t) 4)))
(fma.f64 4 (pow.f64 t 4) (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4)))
(fma.f64 (pow.f64 t 3) -4 (*.f64 4 (+.f64 (pow.f64 t 4) (*.f64 t t))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 4 -4))))
(+.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) (fma.f64 -4 (pow.f64 t 3) (fma.f64 -4 (pow.f64 t 5) (*.f64 (*.f64 t t) 4))))
(fma.f64 4 (pow.f64 t 4) (fma.f64 (pow.f64 t 3) -4 (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 5) -4))))
(fma.f64 -4 (+.f64 (pow.f64 t 3) (pow.f64 t 5)) (*.f64 4 (+.f64 (pow.f64 t 4) (*.f64 t t))))
(fma.f64 (pow.f64 t 5) -4 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 4 -4)))))
(*.f64 4 t)
(*.f64 t 4)
(-.f64 (*.f64 4 t) 4)
(fma.f64 4 t -4)
(fma.f64 t 4 -4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4)
(+.f64 (/.f64 4 t) (fma.f64 4 t -4))
(+.f64 -4 (fma.f64 t 4 (/.f64 4 t)))
(fma.f64 t 4 (+.f64 -4 (/.f64 4 t)))
(+.f64 (fma.f64 t 4 -4) (/.f64 4 t))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 4 t) (fma.f64 4 t -4)) (/.f64 4 (*.f64 t t)))
(+.f64 (fma.f64 t 4 (/.f64 4 t)) (-.f64 -4 (/.f64 4 (*.f64 t t))))
(+.f64 (fma.f64 t 4 -4) (-.f64 (/.f64 4 t) (/.f64 4 (*.f64 t t))))
(+.f64 -4 (-.f64 (fma.f64 t 4 (/.f64 4 t)) (/.f64 4 (*.f64 t t))))
(fma.f64 4 (+.f64 t (-.f64 (/.f64 1 t) (/.f64 (/.f64 1 t) t))) -4)
(*.f64 4 t)
(*.f64 t 4)
(-.f64 (*.f64 4 t) 4)
(fma.f64 4 t -4)
(fma.f64 t 4 -4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4)
(+.f64 (/.f64 4 t) (fma.f64 4 t -4))
(+.f64 -4 (fma.f64 t 4 (/.f64 4 t)))
(fma.f64 t 4 (+.f64 -4 (/.f64 4 t)))
(+.f64 (fma.f64 t 4 -4) (/.f64 4 t))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 4 t) (fma.f64 4 t -4)) (/.f64 4 (*.f64 t t)))
(+.f64 (fma.f64 t 4 (/.f64 4 t)) (-.f64 -4 (/.f64 4 (*.f64 t t))))
(+.f64 (fma.f64 t 4 -4) (-.f64 (/.f64 4 t) (/.f64 4 (*.f64 t t))))
(+.f64 -4 (-.f64 (fma.f64 t 4 (/.f64 4 t)) (/.f64 4 (*.f64 t t))))
(fma.f64 4 (+.f64 t (-.f64 (/.f64 1 t) (/.f64 (/.f64 1 t) t))) -4)

eval545.0ms (4.2%)

Compiler

Compiled 21868 to 16481 computations (24.6% saved)

prune142.0ms (1.1%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New8883891
Fresh224
Picked011
Done167
Total89112903
Error
0b
Counts
903 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
28.1b
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
25.0b
1/2
30.5b
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
29.7b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
32.5b
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
29.7b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))
30.4b
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t -2))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
32.5b
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
32.5b
(+.f64 5/6 (/.f64 -2/9 t))
27.1b
5/6
30.5b
(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) (+.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 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 252 to 203 computations (19.4% saved)

localize66.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) (+.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 t (+.f64 -8 (*.f64 t 12)))
0.1b
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))
2.7b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Compiler

Compiled 182 to 139 computations (23.6% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
t
@0
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))
1.0ms
t
@inf
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))
1.0ms
t
@inf
(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) (+.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 t (+.f64 -8 (*.f64 t 12)))
0.0ms
t
@-inf
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))

rewrite191.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
449×log1p-udef_binary64
269×add-sqr-sqrt_binary64
260×pow1_binary64
259×*-un-lft-identity_binary64
253×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02275
152863
2779163
Stop Event
node limit
Counts
3 → 83
Calls
Call 1
Inputs
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))
(*.f64 t (+.f64 -8 (*.f64 t 12)))
(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) (+.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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simplify114.0ms (0.9%)

Algorithm
egg-herbie
Rules
803×unswap-sqr_binary64
641×fma-def_binary64
582×distribute-rgt-out_binary64
550×distribute-lft-out_binary64
447×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041482
1102476
2250456
3792398
42736398
54695398
66294398
76686398
87189398
97718398
Stop Event
node limit
Counts
119 → 113
Calls
Call 1
Inputs
(*.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 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(*.f64 12 (pow.f64 t 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 12 (pow.f64 t 4)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(*.f64 12 (pow.f64 t 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 12 (pow.f64 t 4)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(*.f64 -8 t)
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(*.f64 12 (pow.f64 t 2))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(*.f64 12 (pow.f64 t 2))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
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))))
(*.f64 2 (pow.f64 t 4))
(+.f64 (*.f64 4/3 (pow.f64 t 3)) (*.f64 2 (pow.f64 t 4)))
(+.f64 (*.f64 4/3 (pow.f64 t 3)) (+.f64 (*.f64 -14/9 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 4))))
(+.f64 (*.f64 16/27 t) (+.f64 (*.f64 4/3 (pow.f64 t 3)) (+.f64 (*.f64 -14/9 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 4)))))
(*.f64 2 (pow.f64 t 4))
(+.f64 (*.f64 4/3 (pow.f64 t 3)) (*.f64 2 (pow.f64 t 4)))
(+.f64 (*.f64 4/3 (pow.f64 t 3)) (+.f64 (*.f64 -14/9 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 4))))
(+.f64 (*.f64 16/27 t) (+.f64 (*.f64 4/3 (pow.f64 t 3)) (+.f64 (*.f64 -14/9 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 4)))))
Outputs
(*.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)))
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3)))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 (*.f64 t t) (fma.f64 t -8 4))
(+.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 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(+.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 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(*.f64 12 (pow.f64 t 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 12 (pow.f64 t 4)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 12 (pow.f64 t 4)))
(fma.f64 12 (pow.f64 t 4) (*.f64 -8 (pow.f64 t 3)))
(*.f64 (pow.f64 t 3) (fma.f64 t 12 -8))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(*.f64 12 (pow.f64 t 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 12 (pow.f64 t 4)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 12 (pow.f64 t 4)))
(fma.f64 12 (pow.f64 t 4) (*.f64 -8 (pow.f64 t 3)))
(*.f64 (pow.f64 t 3) (fma.f64 t 12 -8))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(*.f64 -8 t)
(*.f64 t -8)
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (*.f64 (*.f64 t t) 12))
(fma.f64 t -8 (*.f64 (*.f64 t t) 12))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (*.f64 (*.f64 t t) 12))
(fma.f64 t -8 (*.f64 (*.f64 t t) 12))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (*.f64 (*.f64 t t) 12))
(fma.f64 t -8 (*.f64 (*.f64 t t) 12))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(*.f64 t (fma.f64 t 12 -8))
(*.f64 12 (pow.f64 t 2))
(*.f64 (*.f64 t t) 12)
(*.f64 t (*.f64 t 12))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (*.f64 (*.f64 t t) 12))
(fma.f64 t -8 (*.f64 (*.f64 t t) 12))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (*.f64 (*.f64 t t) 12))
(fma.f64 t -8 (*.f64 (*.f64 t t) 12))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (*.f64 (*.f64 t t) 12))
(fma.f64 t -8 (*.f64 (*.f64 t t) 12))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(*.f64 t (fma.f64 t 12 -8))
(*.f64 12 (pow.f64 t 2))
(*.f64 (*.f64 t t) 12)
(*.f64 t (*.f64 t 12))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (*.f64 (*.f64 t t) 12))
(fma.f64 t -8 (*.f64 (*.f64 t t) 12))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (*.f64 (*.f64 t t) 12))
(fma.f64 t -8 (*.f64 (*.f64 t t) 12))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (*.f64 (*.f64 t t) 12))
(fma.f64 t -8 (*.f64 (*.f64 t t) 12))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(*.f64 t (fma.f64 t 12 -8))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 t t) 1/2)
(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) (+.f64 (*.f64 t t) 1/2))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))
(fma.f64 t (fma.f64 t (*.f64 t -2) t) 1/2)
(fma.f64 (fma.f64 t -2 1) (*.f64 t t) 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4))))
(fma.f64 (pow.f64 t 3) -2 (+.f64 (pow.f64 t 4) (fma.f64 t t 1/2)))
(+.f64 (pow.f64 t 4) (fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2)))
(fma.f64 (*.f64 t t) (fma.f64 t -2 (fma.f64 t t 1)) 1/2)
(*.f64 2 (pow.f64 t 4))
(+.f64 (*.f64 4/3 (pow.f64 t 3)) (*.f64 2 (pow.f64 t 4)))
(fma.f64 4/3 (pow.f64 t 3) (*.f64 2 (pow.f64 t 4)))
(fma.f64 2 (pow.f64 t 4) (*.f64 (pow.f64 t 3) 4/3))
(*.f64 (pow.f64 t 3) (+.f64 (*.f64 t 2) 4/3))
(*.f64 (pow.f64 t 3) (+.f64 4/3 (*.f64 t 2)))
(+.f64 (*.f64 4/3 (pow.f64 t 3)) (+.f64 (*.f64 -14/9 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 4))))
(fma.f64 4/3 (pow.f64 t 3) (fma.f64 -14/9 (*.f64 t t) (*.f64 2 (pow.f64 t 4))))
(fma.f64 (pow.f64 t 3) 4/3 (fma.f64 2 (pow.f64 t 4) (*.f64 (*.f64 t t) -14/9)))
(fma.f64 2 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 -14/9 (*.f64 t 4/3))))
(fma.f64 t (*.f64 t (fma.f64 t 4/3 -14/9)) (*.f64 2 (pow.f64 t 4)))
(+.f64 (*.f64 16/27 t) (+.f64 (*.f64 4/3 (pow.f64 t 3)) (+.f64 (*.f64 -14/9 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 4)))))
(fma.f64 16/27 t (fma.f64 4/3 (pow.f64 t 3) (fma.f64 -14/9 (*.f64 t t) (*.f64 2 (pow.f64 t 4)))))
(fma.f64 t 16/27 (fma.f64 (pow.f64 t 3) 4/3 (fma.f64 2 (pow.f64 t 4) (*.f64 (*.f64 t t) -14/9))))
(fma.f64 t 16/27 (fma.f64 2 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 -14/9 (*.f64 t 4/3)))))
(fma.f64 2 (pow.f64 t 4) (*.f64 t (+.f64 16/27 (*.f64 t (fma.f64 t 4/3 -14/9)))))
(*.f64 2 (pow.f64 t 4))
(+.f64 (*.f64 4/3 (pow.f64 t 3)) (*.f64 2 (pow.f64 t 4)))
(fma.f64 4/3 (pow.f64 t 3) (*.f64 2 (pow.f64 t 4)))
(fma.f64 2 (pow.f64 t 4) (*.f64 (pow.f64 t 3) 4/3))
(*.f64 (pow.f64 t 3) (+.f64 (*.f64 t 2) 4/3))
(*.f64 (pow.f64 t 3) (+.f64 4/3 (*.f64 t 2)))
(+.f64 (*.f64 4/3 (pow.f64 t 3)) (+.f64 (*.f64 -14/9 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 4))))
(fma.f64 4/3 (pow.f64 t 3) (fma.f64 -14/9 (*.f64 t t) (*.f64 2 (pow.f64 t 4))))
(fma.f64 (pow.f64 t 3) 4/3 (fma.f64 2 (pow.f64 t 4) (*.f64 (*.f64 t t) -14/9)))
(fma.f64 2 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 -14/9 (*.f64 t 4/3))))
(fma.f64 t (*.f64 t (fma.f64 t 4/3 -14/9)) (*.f64 2 (pow.f64 t 4)))
(+.f64 (*.f64 16/27 t) (+.f64 (*.f64 4/3 (pow.f64 t 3)) (+.f64 (*.f64 -14/9 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 4)))))
(fma.f64 16/27 t (fma.f64 4/3 (pow.f64 t 3) (fma.f64 -14/9 (*.f64 t t) (*.f64 2 (pow.f64 t 4)))))
(fma.f64 t 16/27 (fma.f64 (pow.f64 t 3) 4/3 (fma.f64 2 (pow.f64 t 4) (*.f64 (*.f64 t t) -14/9))))
(fma.f64 t 16/27 (fma.f64 2 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 -14/9 (*.f64 t 4/3)))))
(fma.f64 2 (pow.f64 t 4) (*.f64 t (+.f64 16/27 (*.f64 t (fma.f64 t 4/3 -14/9)))))

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 t (+.f64 2 (*.f64 t -2)))
0.0b
(*.f64 (*.f64 t (+.f64 2 (*.f64 t -2))) (*.f64 2 t))
21.7b
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t -2))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
Compiler

Compiled 84 to 62 computations (26.2% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite93.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
926×fma-def_binary64
840×log-prod_binary64
389×fma-neg_binary64
278×expm1-udef_binary64
278×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01657
135747
2502447
Stop Event
node limit
Counts
3 → 203
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t -2))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(*.f64 (*.f64 t (+.f64 2 (*.f64 t -2))) (*.f64 2 t))
(*.f64 t (+.f64 2 (*.f64 t -2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 t (*.f64 t (*.f64 (fma.f64 t 2 2) 2)) 1) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 (fma.f64 t 2 2) 2)) 1) (fma.f64 t (*.f64 t 4) 2)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 (fma.f64 t 2 2) 2)) 1) (fma.f64 t (*.f64 t 4) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 (fma.f64 t 2 2) 2)) 1) (fma.f64 t (*.f64 t 4) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 (fma.f64 t 2 2) 2)) 1) (fma.f64 t (*.f64 t 4) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 (fma.f64 t 2 2) 2)) 1) (fma.f64 t (*.f64 t 4) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 (fma.f64 t 2 2) 2)) 1) (fma.f64 t (*.f64 t 4) 2)))) 1)))) (#(struct:change #<rule egg-rr> 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simplify72.0ms (0.6%)

Algorithm
egg-herbie
Rules
803×unswap-sqr_binary64
551×associate-/l/_binary64
501×times-frac_binary64
446×fma-neg_binary64
362×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036387
195375
2221355
3621319
41922319
54080319
Stop Event
node limit
Counts
239 → 230
Calls
Call 1
Inputs
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 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
(*.f64 -1 t)
(+.f64 1 (*.f64 -1 t))
(+.f64 1 (+.f64 (*.f64 -1 t) (*.f64 1/2 (/.f64 1 t))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 t) (*.f64 1/2 (/.f64 1 t)))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(*.f64 -1 t)
(+.f64 1 (*.f64 -1 t))
(+.f64 1 (+.f64 (*.f64 -1 t) (*.f64 1/2 (/.f64 1 t))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 t) (*.f64 1/2 (/.f64 1 t)))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(*.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 3)) (*.f64 4 (pow.f64 t 2)))
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(*.f64 -4 (pow.f64 t 3))
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.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 3)) (*.f64 4 (pow.f64 t 2)))
(*.f64 -4 (pow.f64 t 3))
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.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 3)) (*.f64 4 (pow.f64 t 2)))
(*.f64 2 t)
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(*.f64 -2 (pow.f64 t 2))
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(*.f64 -2 (pow.f64 t 2))
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(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) (+.f64 1/2 (*.f64 t t)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 -2 (pow.f64 t 4) (*.f64 t t))))
(+.f64 (fma.f64 t t (*.f64 -2 (pow.f64 t 4))) (fma.f64 -2 (pow.f64 t 3) 1/2))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t (fma.f64 -2 (pow.f64 t 4) 1/2)))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) (fma.f64 -2 (pow.f64 t 4) 1/2)))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 4) (fma.f64 -2 (pow.f64 t 3) 1/2)))
(*.f64 -1 t)
(neg.f64 t)
(+.f64 1 (*.f64 -1 t))
(+.f64 (neg.f64 t) 1)
(-.f64 1 t)
(+.f64 1 (+.f64 (*.f64 -1 t) (*.f64 1/2 (/.f64 1 t))))
(+.f64 1 (fma.f64 -1 t (/.f64 1/2 t)))
(+.f64 1 (-.f64 (/.f64 1/2 t) t))
(+.f64 (-.f64 1 t) (/.f64 1/2 t))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 t) (*.f64 1/2 (/.f64 1 t)))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (fma.f64 -1 t (/.f64 1/2 t))) (/.f64 1/4 (*.f64 t t)))
(-.f64 (+.f64 1 (-.f64 (/.f64 1/2 t) t)) (/.f64 1/4 (*.f64 t t)))
(+.f64 1 (+.f64 (-.f64 (/.f64 1/2 t) t) (/.f64 -1/4 (*.f64 t t))))
(+.f64 1 (+.f64 (/.f64 1/2 t) (-.f64 (/.f64 (/.f64 -1/4 t) t) t)))
(+.f64 1 (-.f64 (-.f64 (/.f64 1/2 t) t) (/.f64 1/4 (*.f64 t t))))
(-.f64 (-.f64 1 t) (-.f64 (/.f64 -1/2 t) (/.f64 (/.f64 -1/4 t) t)))
(*.f64 -1 t)
(neg.f64 t)
(+.f64 1 (*.f64 -1 t))
(+.f64 (neg.f64 t) 1)
(-.f64 1 t)
(+.f64 1 (+.f64 (*.f64 -1 t) (*.f64 1/2 (/.f64 1 t))))
(+.f64 1 (fma.f64 -1 t (/.f64 1/2 t)))
(+.f64 1 (-.f64 (/.f64 1/2 t) t))
(+.f64 (-.f64 1 t) (/.f64 1/2 t))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 t) (*.f64 1/2 (/.f64 1 t)))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (fma.f64 -1 t (/.f64 1/2 t))) (/.f64 1/4 (*.f64 t t)))
(-.f64 (+.f64 1 (-.f64 (/.f64 1/2 t) t)) (/.f64 1/4 (*.f64 t t)))
(+.f64 1 (+.f64 (-.f64 (/.f64 1/2 t) t) (/.f64 -1/4 (*.f64 t t))))
(+.f64 1 (+.f64 (/.f64 1/2 t) (-.f64 (/.f64 (/.f64 -1/4 t) t) t)))
(+.f64 1 (-.f64 (-.f64 (/.f64 1/2 t) t) (/.f64 1/4 (*.f64 t t))))
(-.f64 (-.f64 1 t) (-.f64 (/.f64 -1/2 t) (/.f64 (/.f64 -1/4 t) t)))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -4)))
(*.f64 t (*.f64 t (fma.f64 t -4 4)))
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -4)))
(*.f64 t (*.f64 t (fma.f64 t -4 4)))
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -4)))
(*.f64 t (*.f64 t (fma.f64 t -4 4)))
(*.f64 -4 (pow.f64 t 3))
(*.f64 (pow.f64 t 3) -4)
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -4)))
(*.f64 t (*.f64 t (fma.f64 t -4 4)))
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -4)))
(*.f64 t (*.f64 t (fma.f64 t -4 4)))
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -4)))
(*.f64 t (*.f64 t (fma.f64 t -4 4)))
(*.f64 -4 (pow.f64 t 3))
(*.f64 (pow.f64 t 3) -4)
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -4)))
(*.f64 t (*.f64 t (fma.f64 t -4 4)))
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -4)))
(*.f64 t (*.f64 t (fma.f64 t -4 4)))
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -4)))
(*.f64 t (*.f64 t (fma.f64 t -4 4)))
(*.f64 2 t)
(*.f64 t 2)
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (*.f64 (*.f64 t t) -2))
(fma.f64 t 2 (*.f64 t (*.f64 t -2)))
(*.f64 t (+.f64 2 (*.f64 t -2)))
(*.f64 t (fma.f64 t -2 2))
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (*.f64 (*.f64 t t) -2))
(fma.f64 t 2 (*.f64 t (*.f64 t -2)))
(*.f64 t (+.f64 2 (*.f64 t -2)))
(*.f64 t (fma.f64 t -2 2))
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (*.f64 (*.f64 t t) -2))
(fma.f64 t 2 (*.f64 t (*.f64 t -2)))
(*.f64 t (+.f64 2 (*.f64 t -2)))
(*.f64 t (fma.f64 t -2 2))
(*.f64 -2 (pow.f64 t 2))
(*.f64 (*.f64 t t) -2)
(*.f64 t (*.f64 t -2))
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (*.f64 (*.f64 t t) -2))
(fma.f64 t 2 (*.f64 t (*.f64 t -2)))
(*.f64 t (+.f64 2 (*.f64 t -2)))
(*.f64 t (fma.f64 t -2 2))
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (*.f64 (*.f64 t t) -2))
(fma.f64 t 2 (*.f64 t (*.f64 t -2)))
(*.f64 t (+.f64 2 (*.f64 t -2)))
(*.f64 t (fma.f64 t -2 2))
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (*.f64 (*.f64 t t) -2))
(fma.f64 t 2 (*.f64 t (*.f64 t -2)))
(*.f64 t (+.f64 2 (*.f64 t -2)))
(*.f64 t (fma.f64 t -2 2))
(*.f64 -2 (pow.f64 t 2))
(*.f64 (*.f64 t t) -2)
(*.f64 t (*.f64 t -2))
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (*.f64 (*.f64 t t) -2))
(fma.f64 t 2 (*.f64 t (*.f64 t -2)))
(*.f64 t (+.f64 2 (*.f64 t -2)))
(*.f64 t (fma.f64 t -2 2))
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (*.f64 (*.f64 t t) -2))
(fma.f64 t 2 (*.f64 t (*.f64 t -2)))
(*.f64 t (+.f64 2 (*.f64 t -2)))
(*.f64 t (fma.f64 t -2 2))
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (*.f64 (*.f64 t t) -2))
(fma.f64 t 2 (*.f64 t (*.f64 t -2)))
(*.f64 t (+.f64 2 (*.f64 t -2)))
(*.f64 t (fma.f64 t -2 2))

localize82.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 t (+.f64 -8 (*.f64 t 12)))
0.1b
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))
0.2b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))
2.7b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Compiler

Compiled 182 to 139 computations (23.6% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
t
@inf
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))
0.0ms
t
@-inf
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))
0.0ms
t
@0
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))

rewrite103.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
449×log1p-udef_binary64
269×add-sqr-sqrt_binary64
260×pow1_binary64
259×*-un-lft-identity_binary64
253×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02246
152840
2779440
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (/.f64 1 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2))) (/.f64 1 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))) 2) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) (*.f64 (hypot.f64 1 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) (/.f64 1 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))) (/.f64 (hypot.f64 1 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2))) (/.f64 1 (neg.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2)) (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2))) (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) 1) (/.f64 (hypot.f64 1 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2)) 2)) (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2)) 2)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2)) 2)) (/.f64 (hypot.f64 1 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))) (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2))) 2) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2))) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (+.f64 8 (pow.f64 (*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4)) 3))) (+.f64 4 (*.f64 (*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4)) (-.f64 (*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (-.f64 4 (pow.f64 (*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4)) 2))) (-.f64 2 (*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (fma.f64 (*.f64 t t) 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(fma.f64 t (fma.f64 t 12 -8) 4) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) 3) (pow.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (log.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)) (log.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 2))) 1))))))

simplify56.0ms (0.4%)

Algorithm
egg-herbie
Rules
555×times-frac_binary64
506×unswap-sqr_binary64
414×associate-/l/_binary64
309×fma-def_binary64
297×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041206
1111200
2277200
3735198
42636198
57650198
Stop Event
node limit
Counts
47 → 49
Calls
Call 1
Inputs
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))))
(/.f64 5/12 (pow.f64 t 4))
(-.f64 (*.f64 5/12 (/.f64 1 (pow.f64 t 4))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(-.f64 (+.f64 (*.f64 5/12 (/.f64 1 (pow.f64 t 4))) (*.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(-.f64 (+.f64 (*.f64 5/12 (/.f64 1 (pow.f64 t 4))) (*.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 65/81 (/.f64 1 (pow.f64 t 7))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5)))))
(/.f64 5/12 (pow.f64 t 4))
(-.f64 (*.f64 5/12 (/.f64 1 (pow.f64 t 4))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(-.f64 (+.f64 (*.f64 5/12 (/.f64 1 (pow.f64 t 4))) (*.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(-.f64 (+.f64 (*.f64 5/12 (/.f64 1 (pow.f64 t 4))) (*.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 65/81 (/.f64 1 (pow.f64 t 7))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5)))))
Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(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) (+.f64 1/2 (*.f64 t t)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 t t (pow.f64 t 4))))
(+.f64 (fma.f64 t t (pow.f64 t 4)) (fma.f64 -2 (pow.f64 t 3) 1/2))
(fma.f64 (*.f64 t t) (fma.f64 t -2 (fma.f64 t t 1)) 1/2)
(/.f64 5/12 (pow.f64 t 4))
(-.f64 (*.f64 5/12 (/.f64 1 (pow.f64 t 4))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(-.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 7/18 (pow.f64 t 5)))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 -7/18 (pow.f64 t 5)))
(-.f64 (/.f64 -7/18 (pow.f64 t 5)) (/.f64 -5/12 (pow.f64 t 4)))
(-.f64 (+.f64 (*.f64 5/12 (/.f64 1 (pow.f64 t 4))) (*.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (-.f64 (/.f64 65/108 (pow.f64 t 6)) (/.f64 7/18 (pow.f64 t 5))))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (+.f64 (/.f64 65/108 (pow.f64 t 6)) (/.f64 -7/18 (pow.f64 t 5))))
(+.f64 (+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 -7/18 (pow.f64 t 5))) (/.f64 65/108 (pow.f64 t 6)))
(+.f64 (-.f64 (/.f64 -7/18 (pow.f64 t 5)) (/.f64 -5/12 (pow.f64 t 4))) (/.f64 65/108 (pow.f64 t 6)))
(-.f64 (+.f64 (*.f64 5/12 (/.f64 1 (pow.f64 t 4))) (*.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 65/81 (/.f64 1 (pow.f64 t 7))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5)))))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (-.f64 (/.f64 65/108 (pow.f64 t 6)) (+.f64 (/.f64 7/18 (pow.f64 t 5)) (/.f64 65/81 (pow.f64 t 7)))))
(-.f64 (+.f64 (/.f64 65/108 (pow.f64 t 6)) (-.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 65/81 (pow.f64 t 7)))) (/.f64 7/18 (pow.f64 t 5)))
(+.f64 (+.f64 (+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 -7/18 (pow.f64 t 5))) (/.f64 65/108 (pow.f64 t 6))) (/.f64 -65/81 (pow.f64 t 7)))
(+.f64 (/.f64 65/108 (pow.f64 t 6)) (+.f64 (/.f64 5/12 (pow.f64 t 4)) (+.f64 (/.f64 -7/18 (pow.f64 t 5)) (/.f64 -65/81 (pow.f64 t 7)))))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (+.f64 (/.f64 -65/81 (pow.f64 t 7)) (+.f64 (/.f64 65/108 (pow.f64 t 6)) (/.f64 -7/18 (pow.f64 t 5)))))
(/.f64 5/12 (pow.f64 t 4))
(-.f64 (*.f64 5/12 (/.f64 1 (pow.f64 t 4))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(-.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 7/18 (pow.f64 t 5)))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 -7/18 (pow.f64 t 5)))
(-.f64 (/.f64 -7/18 (pow.f64 t 5)) (/.f64 -5/12 (pow.f64 t 4)))
(-.f64 (+.f64 (*.f64 5/12 (/.f64 1 (pow.f64 t 4))) (*.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (-.f64 (/.f64 65/108 (pow.f64 t 6)) (/.f64 7/18 (pow.f64 t 5))))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (+.f64 (/.f64 65/108 (pow.f64 t 6)) (/.f64 -7/18 (pow.f64 t 5))))
(+.f64 (+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 -7/18 (pow.f64 t 5))) (/.f64 65/108 (pow.f64 t 6)))
(+.f64 (-.f64 (/.f64 -7/18 (pow.f64 t 5)) (/.f64 -5/12 (pow.f64 t 4))) (/.f64 65/108 (pow.f64 t 6)))
(-.f64 (+.f64 (*.f64 5/12 (/.f64 1 (pow.f64 t 4))) (*.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 65/81 (/.f64 1 (pow.f64 t 7))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5)))))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (-.f64 (/.f64 65/108 (pow.f64 t 6)) (+.f64 (/.f64 7/18 (pow.f64 t 5)) (/.f64 65/81 (pow.f64 t 7)))))
(-.f64 (+.f64 (/.f64 65/108 (pow.f64 t 6)) (-.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 65/81 (pow.f64 t 7)))) (/.f64 7/18 (pow.f64 t 5)))
(+.f64 (+.f64 (+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 -7/18 (pow.f64 t 5))) (/.f64 65/108 (pow.f64 t 6))) (/.f64 -65/81 (pow.f64 t 7)))
(+.f64 (/.f64 65/108 (pow.f64 t 6)) (+.f64 (/.f64 5/12 (pow.f64 t 4)) (+.f64 (/.f64 -7/18 (pow.f64 t 5)) (/.f64 -65/81 (pow.f64 t 7)))))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (+.f64 (/.f64 -65/81 (pow.f64 t 7)) (+.f64 (/.f64 65/108 (pow.f64 t 6)) (/.f64 -7/18 (pow.f64 t 5)))))

eval1.1s (8.7%)

Compiler

Compiled 25911 to 19710 computations (23.9% saved)

prune162.0ms (1.3%)

Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New6822684
Fresh022
Picked101
Done099
Total68313696
Error
0b
Counts
696 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
28.1b
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
25.0b
1/2
30.5b
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
29.7b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
30.4b
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t -2))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
32.5b
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
32.5b
(+.f64 5/6 (/.f64 -2/9 t))
27.1b
5/6
30.7b
(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 t (+.f64 2 (*.f64 t -2))))))
30.5b
(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) (+.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)))))))
32.5b
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
30.4b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 t (+.f64 2 (*.f64 t (+.f64 (*.f64 2 t) -2)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))
0.0b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 290 to 232 computations (20% saved)

regimes70.0ms (0.5%)

Counts
21 → 1
Calls
Call 1
Inputs
1/2
5/6
5/6
1/2
5/6
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t -2))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 t (+.f64 2 (*.f64 t -2))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 t (+.f64 2 (*.f64 t (+.f64 (*.f64 2 t) -2)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))
(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) (+.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 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (-.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1)))
Outputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (-.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1)))
Calls

9 calls:

16.0ms
t
12.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
9.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
4.0ms
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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)))))))
4.0ms
(*.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 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 658 to 530 computations (19.5% saved)

regimes80.0ms (0.6%)

Counts
20 → 1
Calls
Call 1
Inputs
1/2
5/6
5/6
1/2
5/6
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t -2))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 t (+.f64 2 (*.f64 t -2))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 t (+.f64 2 (*.f64 t (+.f64 (*.f64 2 t) -2)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))
(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) (+.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 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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

5 calls:

20.0ms
t
17.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
8.0ms
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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)))))))
6.0ms
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
6.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Results
ErrorSegmentsBranch
0.0b1t
0.0b1(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 515 to 409 computations (20.6% saved)

regimes72.0ms (0.6%)

Counts
19 → 3
Calls
Call 1
Inputs
1/2
5/6
5/6
1/2
5/6
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t -2))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 t (+.f64 2 (*.f64 t -2))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 t (+.f64 2 (*.f64 t (+.f64 (*.f64 2 t) -2)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))
(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) (+.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 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))
Outputs
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 t (+.f64 2 (*.f64 t (+.f64 (*.f64 2 t) -2)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))))
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
Calls

1 calls:

54.0ms
t
Results
ErrorSegmentsBranch
0.1b3t
Compiler

Compiled 366 to 284 computations (22.4% saved)

bsearch174.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
84.0ms
1.4437455465371752e-5
1393.6100097161288
88.0ms
-14562.364739258366
-0.0004327031460810113
Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes58.0ms (0.5%)

Counts
16 → 3
Calls
Call 1
Inputs
1/2
5/6
5/6
1/2
5/6
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t -2))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 t (+.f64 2 (*.f64 t -2))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
Outputs
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
Calls

1 calls:

47.0ms
t
Results
ErrorSegmentsBranch
0.2b3t
Compiler

Compiled 243 to 189 computations (22.2% saved)

bsearch184.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
93.0ms
1.4437455465371752e-5
1393.6100097161288
90.0ms
-14562.364739258366
-0.0004327031460810113
Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes55.0ms (0.4%)

Counts
12 → 3
Calls
Call 1
Inputs
1/2
5/6
5/6
1/2
5/6
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t -2))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
Outputs
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t -2))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
Calls

1 calls:

40.0ms
t
Results
ErrorSegmentsBranch
0.2b3t
Compiler

Compiled 111 to 84 computations (24.3% saved)

bsearch186.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
90.0ms
1.4437455465371752e-5
1393.6100097161288
95.0ms
-14562.364739258366
-0.0004327031460810113
Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes19.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
1/2
5/6
5/6
1/2
5/6
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
Outputs
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
Calls

1 calls:

17.0ms
t
Results
ErrorSegmentsBranch
0.3b3t
Compiler

Compiled 67 to 51 computations (23.9% saved)

bsearch93.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
45.0ms
1.4437455465371752e-5
1393.6100097161288
48.0ms
-14562.364739258366
-0.0004327031460810113
Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes19.0ms (0.1%)

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

1 calls:

16.0ms
t
Results
ErrorSegmentsBranch
0.3b3t
Compiler

Compiled 48 to 37 computations (22.9% saved)

bsearch232.0ms (1.8%)

Algorithm
binary-search
Steps
TimeLeftRight
117.0ms
1.4437455465371752e-5
1393.6100097161288
115.0ms
-14562.364739258366
-0.0004327031460810113
Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes45.0ms (0.3%)

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

1 calls:

43.0ms
t
Results
ErrorSegmentsBranch
0.4b3t
Compiler

Compiled 33 to 26 computations (21.2% saved)

bsearch197.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
47.0ms
1.4437455465371752e-5
1393.6100097161288
149.0ms
-14562.364739258366
-0.0004327031460810113
Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes16.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
1/2
5/6
5/6
1/2
5/6
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
Outputs
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
1/2
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
Calls

1 calls:

15.0ms
t
Results
ErrorSegmentsBranch
0.4b3t
Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch100.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
49.0ms
1.4437455465371752e-5
1393.6100097161288
50.0ms
-14562.364739258366
-0.0004327031460810113
Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes14.0ms (0.1%)

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

1 calls:

13.0ms
t
Results
ErrorSegmentsBranch
0.5b3t
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch99.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
48.0ms
1.4437455465371752e-5
1393.6100097161288
51.0ms
-14562.364739258366
-0.0004327031460810113
Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes14.0ms (0.1%)

Accuracy

Total -50.7b remaining (-7399.4%)

Threshold costs -50.7b (-7399.4%)

Counts
5 → 3
Calls
Call 1
Inputs
1/2
5/6
5/6
1/2
5/6
Outputs
5/6
1/2
5/6
Calls

1 calls:

13.0ms
t
Results
ErrorSegmentsBranch
0.7b3t
Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch95.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
48.0ms
1.4437455465371752e-5
1393.6100097161288
47.0ms
-14562.364739258366
-0.0004327031460810113
Compiler

Compiled 56 to 47 computations (16.1% saved)

simplify28.0ms (0.2%)

Algorithm
egg-herbie
Rules
31×+-commutative_binary64
22×*-commutative_binary64
11×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098669
1148669
2170669
3187669
4207669
5218669
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (-.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1)))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 -250179521230153/17179869184) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 t (+.f64 2 (*.f64 t (+.f64 (*.f64 2 t) -2)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12))))))) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t -2))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (if (<=.f64 t 4261184736724671/295147905179352825856) 1/2 (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))))
(if (<=.f64 t -250179521230153/17179869184) (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) (if (<=.f64 t 4261184736724671/295147905179352825856) 1/2 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 4261184736724671/295147905179352825856) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -250179521230153/17179869184) 5/6 (if (<=.f64 t 4261184736724671/295147905179352825856) 1/2 5/6))
1/2
Outputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (-.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1)))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) -1)))
(/.f64 (+.f64 1 (*.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) -1)))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 1 (*.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) (+.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 -250179521230153/17179869184) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 t (+.f64 2 (*.f64 t (+.f64 (*.f64 2 t) -2)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12))))))) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 2 t))))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12))))))) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 2 t))))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12))))))) (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 2 t))))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12))))))) (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t -2))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 (*.f64 2 t) (*.f64 t (+.f64 2 (*.f64 t -2))))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 (*.f64 2 t) (*.f64 t (+.f64 2 (*.f64 t -2))))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 4261184736724671/295147905179352825856) (/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (if (<=.f64 t 4261184736724671/295147905179352825856) 1/2 (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 4261184736724671/295147905179352825856) 1/2 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -250179521230153/17179869184) (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) (if (<=.f64 t 4261184736724671/295147905179352825856) 1/2 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))))
(if (<=.f64 t -250179521230153/17179869184) (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t)) (if (<=.f64 t 4261184736724671/295147905179352825856) 1/2 (-.f64 5/6 (/.f64 (+.f64 2/9 (/.f64 -1/27 t)) t))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) (if (<=.f64 t 4261184736724671/295147905179352825856) 1/2 (+.f64 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))
(if (<=.f64 t -250179521230153/17179869184) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 4261184736724671/295147905179352825856) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -250179521230153/17179869184) 5/6 (if (<=.f64 t 4261184736724671/295147905179352825856) 1/2 5/6))
1/2
Compiler

Compiled 468 to 359 computations (23.3% saved)

soundness0.0ms (0%)

end203.0ms (1.6%)

Compiler

Compiled 457 to 343 computations (24.9% saved)

Profiling

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