Details

Time bar (total: 3.4s)

analyze10.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
50%50%0%4
81.2%18.7%0%5
90.6%9.4%0%6
95.3%4.7%0%7
97.6%2.3%0%8
98.8%1.2%0%9
99.4%0.6%0%10
99.7%0.3%0%11
99.8%0.1%0%12
99.9%0.1%0%13
99.9%0%0%14
Compiler

Compiled 37 to 29 computations (21.6% saved)

sample1.2s (36.2%)

Results
1.2s8256×body128valid
Compiler

Compiled 74 to 58 computations (21.6% saved)

preprocess42.0ms (1.2%)

Algorithm
egg-herbie
Rules
1108×fma-def_binary64
549×times-frac_binary64
299×associate-+l+_binary64
252×associate-/l*_binary64
243×associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01152
12348
24946
313542
434942
562842
6106042
7227938
8324336
9444636
10479336
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
Outputs
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (*.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) (/.f64 2 (/.f64 (+.f64 1 t) t)))) (+.f64 2 (*.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) (/.f64 2 (/.f64 (+.f64 1 t) t)))))
(/.f64 (fma.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) (*.f64 (/.f64 2 (+.f64 1 t)) t) 1) (fma.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) (*.f64 (/.f64 2 (+.f64 1 t)) t) 2))
(/.f64 (+.f64 1 (/.f64 t (/.f64 (+.f64 1 t) (/.f64 (*.f64 t 4) (+.f64 1 t))))) (+.f64 2 (/.f64 t (/.f64 (+.f64 1 t) (/.f64 (*.f64 t 4) (+.f64 1 t))))))
(/.f64 (fma.f64 (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 t)) (*.f64 t t) 1) (fma.f64 (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 t)) (*.f64 t t) 2))
(/.f64 (fma.f64 t (*.f64 (/.f64 t (+.f64 1 t)) (/.f64 4 (+.f64 1 t))) 1) (fma.f64 t (*.f64 (/.f64 t (+.f64 1 t)) (/.f64 4 (+.f64 1 t))) 2))
(/.f64 (fma.f64 t (/.f64 (*.f64 t 4) (*.f64 (+.f64 1 t) (+.f64 1 t))) 1) (fma.f64 t (/.f64 (*.f64 t 4) (*.f64 (+.f64 1 t) (+.f64 1 t))) 2))
(/.f64 (fma.f64 t (/.f64 (*.f64 t 4) (fma.f64 t (+.f64 2 t) 1)) 1) (fma.f64 t (/.f64 (*.f64 t 4) (fma.f64 t (+.f64 2 t) 1)) 2))
(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 1) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))
Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify36.0ms (1%)

Algorithm
egg-herbie
Rules
1108×fma-def_binary64
549×times-frac_binary64
299×associate-+l+_binary64
252×associate-/l*_binary64
243×associate-+r+_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01152
12348
24946
313542
434942
562842
6106042
7227938
8324336
9444636
10479336
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
Outputs
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (*.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) (/.f64 2 (/.f64 (+.f64 1 t) t)))) (+.f64 2 (*.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) (/.f64 2 (/.f64 (+.f64 1 t) t)))))
(/.f64 (fma.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) (*.f64 (/.f64 2 (+.f64 1 t)) t) 1) (fma.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) (*.f64 (/.f64 2 (+.f64 1 t)) t) 2))
(/.f64 (+.f64 1 (/.f64 t (/.f64 (+.f64 1 t) (/.f64 (*.f64 t 4) (+.f64 1 t))))) (+.f64 2 (/.f64 t (/.f64 (+.f64 1 t) (/.f64 (*.f64 t 4) (+.f64 1 t))))))
(/.f64 (fma.f64 (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 t)) (*.f64 t t) 1) (fma.f64 (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 t)) (*.f64 t t) 2))
(/.f64 (fma.f64 t (*.f64 (/.f64 t (+.f64 1 t)) (/.f64 4 (+.f64 1 t))) 1) (fma.f64 t (*.f64 (/.f64 t (+.f64 1 t)) (/.f64 4 (+.f64 1 t))) 2))
(/.f64 (fma.f64 t (/.f64 (*.f64 t 4) (*.f64 (+.f64 1 t) (+.f64 1 t))) 1) (fma.f64 t (/.f64 (*.f64 t 4) (*.f64 (+.f64 1 t) (+.f64 1 t))) 2))
(/.f64 (fma.f64 t (/.f64 (*.f64 t 4) (fma.f64 t (+.f64 2 t) 1)) 1) (fma.f64 t (/.f64 (*.f64 t 4) (fma.f64 t (+.f64 2 t) 1)) 2))
(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 1) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
Compiler

Compiled 133 to 103 computations (22.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

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

rewrite79.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
990×prod-diff_binary64
132×add-sqr-sqrt_binary64
128×*-un-lft-identity_binary64
128×pow1_binary64
123×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01173
125873
2394473
Stop Event
node limit
Counts
4 → 158
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (*.f64 2 t) (+.f64 1 t))
(+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (hypot.f64 1 (/.f64 t (/.f64 (+.f64 t 1) 2))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (*.f64 1/2 (/.f64 (+.f64 t 1) t)) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (/.f64 (+.f64 t 1) t) (*.f64 1/2 (/.f64 (+.f64 t 1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 t) (*.f64 (*.f64 1/2 (/.f64 (+.f64 t 1) t)) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 t) (*.f64 (+.f64 t 1) (*.f64 1/2 (/.f64 (+.f64 t 1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 t) (/.f64 (pow.f64 (+.f64 t 1) 2) (*.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 t) (/.f64 (+.f64 t 1) (/.f64 t (/.f64 (+.f64 t 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 1/2 (/.f64 (+.f64 t 1) t)) (*.f64 1/2 (/.f64 (+.f64 t 1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (+.f64 t 1) 2) (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 t 1) (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) (*.f64 1/2 (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 t t)) (pow.f64 (+.f64 t 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t -2) (*.f64 (*.f64 1/2 (/.f64 (+.f64 t 1) t)) (+.f64 (neg.f64 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t -2) (*.f64 t -2)) (*.f64 (+.f64 (neg.f64 t) -1) (+.f64 (neg.f64 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (*.f64 t t))) (neg.f64 (pow.f64 (+.f64 t 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1))) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 t) 2) (*.f64 (+.f64 t 1) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t -2) 2) (*.f64 (+.f64 (neg.f64 t) -1) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 t)) (*.f64 (/.f64 (+.f64 t 1) t) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t -2) (*.f64 2 t)) (*.f64 (+.f64 (neg.f64 t) -1) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t -2) 1) (*.f64 (+.f64 (neg.f64 t) -1) (*.f64 1/2 (/.f64 (+.f64 t 1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 t -2)) (*.f64 (/.f64 (+.f64 t 1) t) (+.f64 (neg.f64 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 t) (*.f64 t -2)) (*.f64 (+.f64 t 1) (+.f64 (neg.f64 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) 1) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (cbrt.f64 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (sqrt.f64 (+.f64 t 1))) (sqrt.f64 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 t (/.f64 (+.f64 t 1) 2))) (/.f64 (+.f64 t 1) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t -2) (/.f64 t (/.f64 (+.f64 t 1) 2))) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2) (/.f64 (+.f64 t 1) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) (*.f64 t -2)) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (/.f64 (+.f64 t 1) 2))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (-.f64 (log.f64 (*.f64 2 t)) (log1p.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 2 t)) (log1p.f64 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log.f64 (*.f64 2 t)) (log1p.f64 t))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 1 (/.f64 t (/.f64 (+.f64 t 1) 2))) 2) (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (hypot.f64 1 (/.f64 t (/.f64 (+.f64 t 1) 2))) 2) (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (/.f64 t (/.f64 (+.f64 t 1) 2))) 2) (/.f64 1 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 1 (/.f64 t (/.f64 (+.f64 t 1) 2))) 2) (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (/.f64 t (/.f64 (+.f64 t 1) 2))) 2) (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (/.f64 t (/.f64 (+.f64 t 1) 2))) 2) (+.f64 2 (pow.f64 (/.f64 t 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) (/.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4) (-.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) 2) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 6)) (/.f64 1 (-.f64 (+.f64 4 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4)) (*.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4)) (/.f64 1 (-.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 4 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4)) (*.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) (+.f64 8 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)) (-.f64 4 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 6)) (-.f64 (+.f64 4 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4)) (*.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 6)) (+.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4) (-.f64 4 (*.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4)) (-.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 6))) (neg.f64 (-.f64 (+.f64 4 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4)) (*.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4))) (neg.f64 (-.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4) 4) (-.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 4)) (pow.f64 (cbrt.f64 (/.f64 t (/.f64 (+.f64 t 1) 2))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2))) 1))))))

simplify38.0ms (1.1%)

Algorithm
egg-herbie
Rules
644×fma-neg_binary64
473×associate-*l*_binary64
334×fma-def_binary64
247×sub-neg_binary64
223×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
078628
1263606
2757586
32383584
Stop Event
node limit
Counts
206 → 215
Calls
Call 1
Inputs
(*.f64 4 (pow.f64 t 2))
(-.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 8 (pow.f64 t 3)))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3)))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (+.f64 (*.f64 8 (pow.f64 t 3)) (*.f64 16 (pow.f64 t 5))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.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 1/2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))
(-.f64 (+.f64 (pow.f64 t 4) (+.f64 1/2 (pow.f64 t 2))) (*.f64 2 (pow.f64 t 3)))
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)))
(*.f64 2 t)
(-.f64 (*.f64 2 t) (*.f64 2 (pow.f64 t 2)))
(-.f64 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)) (*.f64 2 (pow.f64 t 2)))
(-.f64 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)) (+.f64 (*.f64 2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 2))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(-.f64 (+.f64 2 (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3)))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (+.f64 2 (*.f64 4 (pow.f64 t 2)))) (*.f64 8 (pow.f64 t 3)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
Outputs
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(-.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 8 (pow.f64 t 3)))
(+.f64 (*.f64 4 (*.f64 t t)) (*.f64 -8 (pow.f64 t 3)))
(fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3)))
(+.f64 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))) (*.f64 -8 (pow.f64 t 3)))
(fma.f64 12 (pow.f64 t 4) (fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 3) -8)))
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (-.f64 (*.f64 12 t) 8))))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (+.f64 (*.f64 8 (pow.f64 t 3)) (*.f64 16 (pow.f64 t 5))))
(-.f64 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))) (fma.f64 8 (pow.f64 t 3) (*.f64 16 (pow.f64 t 5))))
(-.f64 (fma.f64 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4))) (fma.f64 8 (pow.f64 t 3) (*.f64 16 (pow.f64 t 5))))
(fma.f64 4 (*.f64 t t) (fma.f64 12 (pow.f64 t 4) (fma.f64 (pow.f64 t 3) -8 (*.f64 (pow.f64 t 5) -16))))
(fma.f64 12 (pow.f64 t 4) (fma.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)) (*.f64 (pow.f64 t 5) -16)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.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 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 4 (+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -16 (pow.f64 t 3))) (/.f64 -8 t)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.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 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 4 (+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -16 (pow.f64 t 3))) (/.f64 -8 t)))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 t t) 1/2)
(fma.f64 t t 1/2)
(-.f64 (+.f64 1/2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))
(+.f64 (+.f64 (*.f64 t t) 1/2) (*.f64 -2 (pow.f64 t 3)))
(+.f64 1/2 (fma.f64 t t (*.f64 (pow.f64 t 3) -2)))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))
(-.f64 (+.f64 (pow.f64 t 4) (+.f64 1/2 (pow.f64 t 2))) (*.f64 2 (pow.f64 t 3)))
(+.f64 (pow.f64 t 4) (+.f64 (+.f64 (*.f64 t t) 1/2) (*.f64 -2 (pow.f64 t 3))))
(+.f64 (pow.f64 t 4) (+.f64 1/2 (fma.f64 t t (*.f64 (pow.f64 t 3) -2))))
(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (-.f64 t 2)))
(+.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 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 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 (*.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 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 4/81 (pow.f64 t 3)) (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))))
(+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.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 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 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 (*.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 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 4/81 (pow.f64 t 3)) (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))))
(+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))))
(*.f64 2 t)
(*.f64 t 2)
(-.f64 (*.f64 2 t) (*.f64 2 (pow.f64 t 2)))
(*.f64 2 (-.f64 t (*.f64 t t)))
(*.f64 t (-.f64 2 (*.f64 t 2)))
(*.f64 t (+.f64 2 (*.f64 t -2)))
(-.f64 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)) (*.f64 2 (pow.f64 t 2)))
(+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 (-.f64 t (*.f64 t t))))
(*.f64 2 (-.f64 (+.f64 t (pow.f64 t 3)) (*.f64 t t)))
(*.f64 2 (*.f64 t (-.f64 (fma.f64 t t 1) t)))
(*.f64 (*.f64 t 2) (-.f64 (fma.f64 t t 1) t))
(-.f64 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)) (+.f64 (*.f64 2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 2))))
(-.f64 (*.f64 2 (+.f64 (pow.f64 t 3) t)) (*.f64 2 (+.f64 (pow.f64 t 4) (*.f64 t t))))
(*.f64 2 (-.f64 (+.f64 t (pow.f64 t 3)) (+.f64 (*.f64 t t) (pow.f64 t 4))))
(*.f64 2 (*.f64 (fma.f64 t t 1) (-.f64 t (*.f64 t t))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (*.f64 2 (/.f64 1 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 2 (*.f64 t t)) (/.f64 -2 t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 2 (+.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 2 (*.f64 t t)) (+.f64 2 (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (*.f64 2 (/.f64 1 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 2 (*.f64 t t)) (/.f64 -2 t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 2 (+.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 2 (*.f64 t t)) (+.f64 2 (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3)))))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(+.f64 2 (*.f64 4 (*.f64 t t)))
(fma.f64 4 (*.f64 t t) 2)
(-.f64 (+.f64 2 (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3)))
(+.f64 (+.f64 2 (*.f64 4 (*.f64 t t))) (*.f64 -8 (pow.f64 t 3)))
(+.f64 (fma.f64 4 (*.f64 t t) 2) (*.f64 (pow.f64 t 3) -8))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 4 (*.f64 t t) 2))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (+.f64 2 (*.f64 4 (pow.f64 t 2)))) (*.f64 8 (pow.f64 t 3)))
(+.f64 (fma.f64 12 (pow.f64 t 4) (+.f64 2 (*.f64 4 (*.f64 t t)))) (*.f64 -8 (pow.f64 t 3)))
(+.f64 (fma.f64 12 (pow.f64 t 4) (fma.f64 4 (*.f64 t t) 2)) (*.f64 (pow.f64 t 3) -8))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 4 (*.f64 t t) (fma.f64 12 (pow.f64 t 4) 2)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (*.f64 8 (/.f64 1 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (+.f64 6 (/.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 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (*.f64 8 (/.f64 1 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (+.f64 6 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))

prune509.0ms (14.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New4562458
Fresh000
Picked101
Done000
Total4572459
Error
0b
Counts
459 → 2
Alt Table
StatusErrorProgram
0.0b
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))
0.5b
(exp.f64 (-.f64 (log1p.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)) (log.f64 (+.f64 2 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))
Compiler

Compiled 16770 to 13191 computations (21.3% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))
0.0b
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.0b
(pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)
1.0b
(log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite48.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
185×add-sqr-sqrt_binary64
181×pow1_binary64
179×*-un-lft-identity_binary64
175×add-log-exp_binary64
174×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01760
139460
Stop Event
node limit
Counts
3 → 193
Calls
Call 1
Inputs
(log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))
(pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) (*.f64 t (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 t t)) (*.f64 (/.f64 1 (+.f64 t 1)) (/.f64 1 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify37.0ms (1.1%)

Algorithm
egg-herbie
Rules
436×times-frac_binary64
312×associate-*l*_binary64
307×fma-neg_binary64
306×cancel-sign-sub-inv_binary64
284×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053492
1164478
2448465
31410461
44230461
Stop Event
node limit
Counts
229 → 144
Calls
Call 1
Inputs
(*.f64 4 (pow.f64 t 2))
(-.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 8 (pow.f64 t 3)))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3)))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (+.f64 (*.f64 8 (pow.f64 t 3)) (*.f64 16 (pow.f64 t 5))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(*.f64 4 (pow.f64 t 2))
(-.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 8 (pow.f64 t 3)))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3)))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (+.f64 (*.f64 8 (pow.f64 t 3)) (*.f64 16 (pow.f64 t 5))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.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 1/2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))
(-.f64 (+.f64 (pow.f64 t 4) (+.f64 1/2 (pow.f64 t 2))) (*.f64 2 (pow.f64 t 3)))
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)))
Outputs
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(-.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 8 (pow.f64 t 3)))
(+.f64 (*.f64 4 (*.f64 t t)) (*.f64 -8 (pow.f64 t 3)))
(fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (-.f64 4 (*.f64 t 8)))
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3)))
(-.f64 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))) (*.f64 8 (pow.f64 t 3)))
(fma.f64 12 (pow.f64 t 4) (fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 3) -8)))
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (-.f64 4 (*.f64 t 8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (-.f64 (*.f64 t 12) 8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8))))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (+.f64 (*.f64 8 (pow.f64 t 3)) (*.f64 16 (pow.f64 t 5))))
(-.f64 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))) (fma.f64 8 (pow.f64 t 3) (*.f64 16 (pow.f64 t 5))))
(+.f64 (fma.f64 12 (pow.f64 t 4) (fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 3) -8))) (*.f64 -16 (pow.f64 t 5)))
(fma.f64 4 (*.f64 t t) (fma.f64 12 (pow.f64 t 4) (fma.f64 (pow.f64 t 3) -8 (*.f64 (pow.f64 t 5) -16))))
(fma.f64 12 (pow.f64 t 4) (fma.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))) (*.f64 (pow.f64 t 5) -16)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))
(+.f64 4 (-.f64 (/.f64 -16 (pow.f64 t 3)) (-.f64 (/.f64 8 t) (/.f64 12 (*.f64 t t)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))
(+.f64 4 (-.f64 (/.f64 -16 (pow.f64 t 3)) (-.f64 (/.f64 8 t) (/.f64 12 (*.f64 t t)))))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(-.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 8 (pow.f64 t 3)))
(+.f64 (*.f64 4 (*.f64 t t)) (*.f64 -8 (pow.f64 t 3)))
(fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (-.f64 4 (*.f64 t 8)))
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3)))
(-.f64 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))) (*.f64 8 (pow.f64 t 3)))
(fma.f64 12 (pow.f64 t 4) (fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 3) -8)))
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (-.f64 4 (*.f64 t 8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (-.f64 (*.f64 t 12) 8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8))))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (+.f64 (*.f64 8 (pow.f64 t 3)) (*.f64 16 (pow.f64 t 5))))
(-.f64 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))) (fma.f64 8 (pow.f64 t 3) (*.f64 16 (pow.f64 t 5))))
(+.f64 (fma.f64 12 (pow.f64 t 4) (fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 3) -8))) (*.f64 -16 (pow.f64 t 5)))
(fma.f64 4 (*.f64 t t) (fma.f64 12 (pow.f64 t 4) (fma.f64 (pow.f64 t 3) -8 (*.f64 (pow.f64 t 5) -16))))
(fma.f64 12 (pow.f64 t 4) (fma.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))) (*.f64 (pow.f64 t 5) -16)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))
(+.f64 4 (-.f64 (/.f64 -16 (pow.f64 t 3)) (-.f64 (/.f64 8 t) (/.f64 12 (*.f64 t t)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))
(+.f64 4 (-.f64 (/.f64 -16 (pow.f64 t 3)) (-.f64 (/.f64 8 t) (/.f64 12 (*.f64 t t)))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 t t) 1/2)
(fma.f64 t t 1/2)
(-.f64 (+.f64 1/2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))
(+.f64 (+.f64 (*.f64 t t) 1/2) (*.f64 -2 (pow.f64 t 3)))
(+.f64 1/2 (fma.f64 t t (*.f64 (pow.f64 t 3) -2)))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))
(-.f64 (+.f64 (pow.f64 t 4) (+.f64 1/2 (pow.f64 t 2))) (*.f64 2 (pow.f64 t 3)))
(+.f64 (pow.f64 t 4) (+.f64 (+.f64 (*.f64 t t) 1/2) (*.f64 -2 (pow.f64 t 3))))
(+.f64 (pow.f64 t 4) (+.f64 1/2 (fma.f64 t t (*.f64 (pow.f64 t 3) -2))))
(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (-.f64 t 2)))
(+.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 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.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 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.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 (+.f64 5/6 (/.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 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.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 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.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 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t)))

prune219.0ms (6.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2031204
Fresh101
Picked011
Done000
Total2042206
Error
0b
Counts
206 → 2
Alt Table
StatusErrorProgram
0.0b
(pow.f64 (/.f64 (+.f64 2 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)) (+.f64 1 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2))) -1)
0.0b
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))
Compiler

Compiled 6510 to 5194 computations (20.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 2 (+.f64 t 1))
0.0b
(pow.f64 (/.f64 (+.f64 2 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)) (+.f64 1 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2))) -1)
0.0b
(pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)
0.1b
(*.f64 t (/.f64 2 (+.f64 t 1)))

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite73.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
715×prod-diff_binary64
151×add-sqr-sqrt_binary64
146×pow1_binary64
144×*-un-lft-identity_binary64
142×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01367
130364
2414464
Stop Event
node limit
Counts
4 → 124
Calls
Call 1
Inputs
(*.f64 t (/.f64 2 (+.f64 t 1)))
(pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)
(pow.f64 (/.f64 (+.f64 2 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)) (+.f64 1 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2))) -1)
(/.f64 2 (+.f64 t 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 t (*.f64 (+.f64 t 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 t 1) (*.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t 2) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 t 2)) (+.f64 -1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t 2) 1) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t 2) (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (cbrt.f64 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t 2) (sqrt.f64 (+.f64 t 1))) (sqrt.f64 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 t) (+.f64 -1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t -2) (+.f64 -1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (/.f64 2 (+.f64 t 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 t 2)) (log1p.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 t 2)) (log1p.f64 t)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 (/.f64 2 (+.f64 t 1)) (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 t 1)) (*.f64 t (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) (/.f64 (*.f64 t 2) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 2) (cbrt.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 2) (*.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 4)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) (*.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t t) (pow.f64 (/.f64 2 (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 2) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)))) (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) t) (/.f64 2 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) (/.f64 2 (+.f64 t 1))) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 2)) (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t 2) (*.f64 t 2)) (pow.f64 (+.f64 t 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t 2) (/.f64 (*.f64 t 2) (+.f64 t 1))) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) (*.f64 t 2)) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (-.f64 (log.f64 (*.f64 t 2)) (log1p.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log.f64 (*.f64 t 2)) (log1p.f64 t))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (/.f64 1 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 t 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 t 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (+.f64 t 1))) (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 2)) (cbrt.f64 (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (+.f64 t 1))) (sqrt.f64 (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 t 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 (pow.f64 t 3))) (fma.f64 t t (-.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 t t -1)) (+.f64 t -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 t 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 t 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 t 1) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (+.f64 t 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 2) (log1p.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 t)) 1))))))

simplify36.0ms (1%)

Algorithm
egg-herbie
Rules
769×fma-neg_binary64
361×fma-def_binary64
298×sub-neg_binary64
237×cancel-sign-sub-inv_binary64
163×distribute-rgt-out--_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
080660
1279638
2853612
32669605
Stop Event
node limit
Counts
172 → 180
Calls
Call 1
Inputs
(*.f64 2 t)
(-.f64 (*.f64 2 t) (*.f64 2 (pow.f64 t 2)))
(-.f64 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)) (*.f64 2 (pow.f64 t 2)))
(-.f64 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)) (+.f64 (*.f64 2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 2))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))))
(*.f64 4 (pow.f64 t 2))
(-.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 8 (pow.f64 t 3)))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3)))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (+.f64 (*.f64 8 (pow.f64 t 3)) (*.f64 16 (pow.f64 t 5))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.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 1/2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))
(-.f64 (+.f64 (pow.f64 t 4) (+.f64 1/2 (pow.f64 t 2))) (*.f64 2 (pow.f64 t 3)))
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 2 t))
(-.f64 (+.f64 2 (*.f64 2 (pow.f64 t 2))) (*.f64 2 t))
(-.f64 (+.f64 2 (*.f64 2 (pow.f64 t 2))) (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 4)))))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 4)))))
Outputs
(*.f64 2 t)
(-.f64 (*.f64 2 t) (*.f64 2 (pow.f64 t 2)))
(*.f64 2 (-.f64 t (*.f64 t t)))
(*.f64 t (fma.f64 t -2 2))
(-.f64 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)) (*.f64 2 (pow.f64 t 2)))
(+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 (-.f64 t (*.f64 t t))))
(*.f64 2 (-.f64 (+.f64 t (pow.f64 t 3)) (*.f64 t t)))
(*.f64 2 (*.f64 t (-.f64 (fma.f64 t t 1) t)))
(-.f64 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)) (+.f64 (*.f64 2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 2))))
(-.f64 (*.f64 2 (+.f64 (pow.f64 t 3) t)) (*.f64 2 (+.f64 (pow.f64 t 4) (*.f64 t t))))
(*.f64 2 (-.f64 (+.f64 t (pow.f64 t 3)) (+.f64 (*.f64 t t) (pow.f64 t 4))))
(*.f64 2 (*.f64 (fma.f64 t t 1) (-.f64 t (*.f64 t t))))
(*.f64 (fma.f64 t t 1) (*.f64 t (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 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (/.f64 2 t))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 t)))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 2 (+.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 2 (+.f64 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t)) (/.f64 -2 (pow.f64 t 3))))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (+.f64 2 (/.f64 -2 t)) (/.f64 -2 (pow.f64 t 3))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (/.f64 2 t))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 t)))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 2) (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 2 (+.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 2 (+.f64 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t)) (/.f64 -2 (pow.f64 t 3))))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (+.f64 2 (/.f64 -2 t)) (/.f64 -2 (pow.f64 t 3))))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(-.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 8 (pow.f64 t 3)))
(+.f64 (*.f64 (*.f64 t t) 4) (*.f64 -8 (pow.f64 t 3)))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3)))
(+.f64 (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) 4)) (*.f64 -8 (pow.f64 t 3)))
(fma.f64 (pow.f64 t 4) 12 (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8)))
(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 (*.f64 t 12) 8))))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))) (+.f64 (*.f64 8 (pow.f64 t 3)) (*.f64 16 (pow.f64 t 5))))
(-.f64 (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) 4)) (fma.f64 8 (pow.f64 t 3) (*.f64 16 (pow.f64 t 5))))
(-.f64 (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 4) 12)) (fma.f64 (pow.f64 t 3) 8 (*.f64 16 (pow.f64 t 5))))
(fma.f64 (pow.f64 t 4) 12 (fma.f64 t (*.f64 t 4) (fma.f64 (pow.f64 t 3) -8 (*.f64 (pow.f64 t 5) -16))))
(fma.f64 (pow.f64 t 4) 12 (fma.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))) (*.f64 (pow.f64 t 5) -16)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (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 (/.f64 12 t) t) (+.f64 (/.f64 8 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 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (*.f64 8 (/.f64 1 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 4) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (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 (/.f64 12 t) t) (+.f64 (/.f64 8 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 1/2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))
(+.f64 (+.f64 (*.f64 t t) 1/2) (*.f64 -2 (pow.f64 t 3)))
(-.f64 (fma.f64 t t 1/2) (*.f64 2 (pow.f64 t 3)))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))
(-.f64 (+.f64 (pow.f64 t 4) (+.f64 1/2 (pow.f64 t 2))) (*.f64 2 (pow.f64 t 3)))
(+.f64 (pow.f64 t 4) (+.f64 (+.f64 (*.f64 t t) 1/2) (*.f64 -2 (pow.f64 t 3))))
(+.f64 (pow.f64 t 4) (-.f64 (fma.f64 t t 1/2) (*.f64 2 (pow.f64 t 3))))
(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (-.f64 t 2)))
(+.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 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 (*.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)))
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 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 (*.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)))
2
(-.f64 2 (*.f64 2 t))
(+.f64 2 (*.f64 -2 t))
(+.f64 2 (*.f64 t -2))
(fma.f64 t -2 2)
(-.f64 (+.f64 2 (*.f64 2 (pow.f64 t 2))) (*.f64 2 t))
(+.f64 2 (-.f64 (*.f64 2 (*.f64 t t)) (*.f64 2 t)))
(+.f64 2 (*.f64 2 (-.f64 (*.f64 t t) t)))
(fma.f64 2 (-.f64 (*.f64 t t) t) 2)
(+.f64 2 (*.f64 t (fma.f64 2 t -2)))
(-.f64 (+.f64 2 (*.f64 2 (pow.f64 t 2))) (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)))
(+.f64 2 (-.f64 (*.f64 2 (*.f64 t t)) (*.f64 2 (+.f64 (pow.f64 t 3) t))))
(+.f64 2 (*.f64 2 (-.f64 (*.f64 t t) (+.f64 t (pow.f64 t 3)))))
(fma.f64 2 (*.f64 t (-.f64 t (fma.f64 t t 1))) 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 (/.f64 -2 t) t))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 (/.f64 -2 t) t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.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 (pow.f64 t 3)) (-.f64 (+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t)) (/.f64 2 (pow.f64 t 4))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (-.f64 (/.f64 (/.f64 -2 t) t) (/.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 (/.f64 -2 t) t))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 (/.f64 -2 t) t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.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 (pow.f64 t 3)) (-.f64 (+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t)) (/.f64 2 (pow.f64 t 4))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (-.f64 (/.f64 (/.f64 -2 t) t) (/.f64 2 (pow.f64 t 4)))))

prune379.0ms (11%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2990299
Fresh000
Picked011
Done011
Total2992301
Error
0b
Counts
301 → 2
Alt Table
StatusErrorProgram
0.0b
(pow.f64 (/.f64 (+.f64 2 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2)) (+.f64 1 (pow.f64 (*.f64 t (/.f64 2 (+.f64 t 1))) 2))) -1)
0.0b
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (log.f64 (exp.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 t 1) 2)) 2)))))
Compiler

Compiled 8845 to 7397 computations (16.4% saved)

regimes566.0ms (16.4%)

Accuracy

Total 0.0b remaining (69.5%)

Threshold costs 0.0b (69.5%)

Counts
191 → 1
Compiler

Compiled 5023 to 4070 computations (19% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
*-rgt-identity_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01438
12238
Stop Event
saturated
Calls
Call 1
Inputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)))) 1))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)))) 1))
(exp.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))

end75.0ms (2.2%)

Stop Event
done
Compiler

Compiled 110 to 92 computations (16.4% saved)

Profiling

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