Details

Time bar (total: 11.9s)

analyze9.0ms (0.1%)

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
Compiler

Compiled 37 to 29 computations (21.6% saved)

sample1.8s (15%)

Results
1.7s8256×body256valid

preprocess144.0ms (1.2%)

Algorithm
egg-herbie
Rules
1141×distribute-rgt-in_binary64
1108×fma-def_binary64
549×times-frac_binary64
464×distribute-rgt-out_binary64
460×associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01152
12348
24946
313442
435042
561742
6104842
7227938
8324936
9446736
10481836
11510436
12515436
13619736
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 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) (+.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 t (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 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 t (/.f64 4 (fma.f64 t (+.f64 2 t) 1))) 1) (fma.f64 (/.f64 4 (fma.f64 t (+.f64 2 t) 1)) (*.f64 t t) 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))
(/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 2))
Compiler

Compiled 37 to 29 computations (21.6% saved)

simplify102.0ms (0.9%)

Algorithm
egg-herbie
Rules
1141×distribute-rgt-in_binary64
1108×fma-def_binary64
549×times-frac_binary64
464×distribute-rgt-out_binary64
460×associate-+l+_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01152
12348
24946
313442
435042
561742
6104842
7227938
8324936
9446736
10481836
11510436
12515436
13619736
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 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) (+.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 t (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 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 t (/.f64 4 (fma.f64 t (+.f64 2 t) 1))) 1) (fma.f64 (/.f64 4 (fma.f64 t (+.f64 2 t) 1)) (*.f64 t t) 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))
(/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 2))

eval2.0ms (0%)

Compiler

Compiled 61 to 47 computations (23% 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 (*.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 36 to 28 computations (22.2% saved)

localize123.0ms (1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
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)))
Compiler

Compiled 101 to 76 computations (24.8% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
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 (*.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)))))
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)))))

rewrite171.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
990×prod-diff_binary64
379×fma-def_binary64
275×log-div_binary64
224×expm1-udef_binary64
224×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01157
125857
2395757
Stop Event
node limit
Counts
3 → 134
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))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 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 2 (/.f64 t (+.f64 t 1)))))))) (#(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 2 (/.f64 t (+.f64 t 1))) (*.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 2 (/.f64 t (+.f64 t 1)))) (/.f64 (+.f64 t 1) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t -2) (*.f64 2 (/.f64 t (+.f64 t 1)))) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2) (/.f64 (+.f64 t 1) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (*.f64 t -2)) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 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 fma.f64 1 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 6)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4)) (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))) -1)))))
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t)) (log1p.f64 t)) 1))))))

simplify61.0ms (0.5%)

Algorithm
egg-herbie
Rules
599×fma-neg_binary64
495×distribute-lft-out_binary64
472×distribute-rgt-out_binary64
415×cancel-sign-sub-inv_binary64
369×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
075464
1228457
2602449
31710441
44462428
Stop Event
node limit
Counts
170 → 178
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 -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)))
(*.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))))
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 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 4 (*.f64 t t))))
(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 -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 4 (*.f64 t t)))))
(fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (*.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 (*.f64 t 12) -8)))))
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 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.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 (/.f64 (/.f64 12 t) t) (/.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 (+.f64 4 (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 12 (/.f64 16 t)))) (/.f64 8 t))
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 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.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 (/.f64 (/.f64 12 t) t) (/.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 (+.f64 4 (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 12 (/.f64 16 t)))) (/.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 -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 t (fma.f64 (pow.f64 t 3) -2 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 t t (pow.f64 t 4)) (fma.f64 (pow.f64 t 3) -2 1/2))
(+.f64 (pow.f64 t 4) (fma.f64 t t (fma.f64 (pow.f64 t 3) -2 1/2)))
(+.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 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 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 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 1/27 (*.f64 t t)) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 4/81 (pow.f64 t 3))))
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 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 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 1/27 (*.f64 t t)) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 4/81 (pow.f64 t 3))))
(*.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 (*.f64 t t) -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 t 2 (fma.f64 2 (pow.f64 t 3) (*.f64 (*.f64 t t) -2)))
(fma.f64 t 2 (*.f64 (*.f64 t t) (+.f64 -2 (*.f64 t 2))))
(*.f64 t (+.f64 (*.f64 t (+.f64 -2 (*.f64 t 2))) 2))
(*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 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 t 2 (+.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 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t)))
(+.f64 (+.f64 2 (/.f64 -2 t)) (/.f64 2 (*.f64 t t)))
(+.f64 (/.f64 2 (*.f64 t 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 2 (+.f64 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3))) (/.f64 -2 t)))
(+.f64 2 (-.f64 (/.f64 -2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t)))))
(*.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 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t)))
(+.f64 (+.f64 2 (/.f64 -2 t)) (/.f64 2 (*.f64 t t)))
(+.f64 (/.f64 2 (*.f64 t 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 2 (+.f64 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3))) (/.f64 -2 t)))
(+.f64 2 (-.f64 (/.f64 -2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t)))))
(*.f64 (+.f64 1 (/.f64 1 (*.f64 t t))) (+.f64 2 (/.f64 -2 t)))

eval851.0ms (7.1%)

Compiler

Compiled 15677 to 12343 computations (21.3% saved)

prune140.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New41811429
Fresh000
Picked101
Done000
Total41911430
Error
0b
Counts
430 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
30.1b
(+.f64 5/6 (/.f64 -2/9 t))
18.8b
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
32.8b
(fma.f64 t t 1/2)
30.1b
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
32.4b
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
25.3b
5/6
32.2b
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 4 (*.f64 t t))))
0.0b
(/.f64 (+.f64 1 (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
27.1b
1/2
30.6b
(/.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 2 (/.f64 -2 t)))))
Compiler

Compiled 430 to 338 computations (21.4% saved)

localize128.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)
0.0b
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.0b
(exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))
0.8b
(log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))
Compiler

Compiled 138 to 106 computations (23.2% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite100.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
923×pow1_binary64
859×log1p-expm1-u_binary64
859×expm1-log1p-u_binary64
858×add-log-exp_binary64
839×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041
119941
2244441
Stop Event
node limit
Counts
3 → 79
Calls
Call 1
Inputs
(log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))
(exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))
(pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 t (+.f64 t 1)) (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (+.f64 t 1)) (*.f64 2 (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (*.f64 2 (/.f64 t (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 t (+.f64 t 1)) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4)) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (*.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1))))) (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2) (/.f64 t (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (/.f64 t (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)) (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 t) (*.f64 2 t)) (pow.f64 (+.f64 t 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 t) (*.f64 2 (/.f64 t (+.f64 t 1)))) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (*.f64 2 t)) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 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 +.f64 1 (expm1.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))) 2) (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))) (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 2) (/.f64 t (+.f64 t 1))) (*.f64 2 (/.f64 t (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 t (+.f64 t 1)) (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (+.f64 t 1)) (*.f64 2 (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (*.f64 2 (/.f64 t (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 t (+.f64 t 1)) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4)) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (*.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1))))) (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2) (/.f64 t (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (/.f64 t (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)) (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 t) (*.f64 2 t)) (pow.f64 (+.f64 t 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 t) (*.f64 2 (/.f64 t (+.f64 t 1)))) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (*.f64 2 t)) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 t (+.f64 t 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (-.f64 (log.f64 (*.f64 2 t)) (log1p.f64 t))))))))

simplify73.0ms (0.6%)

Algorithm
egg-herbie
Rules
770×fma-def_binary64
577×associate-/l/_binary64
525×associate-/l*_binary64
419×associate-*l/_binary64
331×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057546
1157540
2406510
31174482
43756482
Stop Event
node limit
Counts
115 → 81
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 -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
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(+.f64 1 (+.f64 (*.f64 20 (pow.f64 t 4)) (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))))
(exp.f64 4)
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (exp.f64 4))
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (+.f64 (exp.f64 4) (*.f64 44 (/.f64 (exp.f64 4) (pow.f64 t 2)))))
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (+.f64 (exp.f64 4) (+.f64 (*.f64 -592/3 (/.f64 (exp.f64 4) (pow.f64 t 3))) (*.f64 44 (/.f64 (exp.f64 4) (pow.f64 t 2))))))
(exp.f64 4)
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (exp.f64 4))
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (+.f64 (exp.f64 4) (*.f64 44 (/.f64 (exp.f64 4) (pow.f64 t 2)))))
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (+.f64 (exp.f64 4) (+.f64 (*.f64 -592/3 (/.f64 (exp.f64 4) (pow.f64 t 3))) (*.f64 44 (/.f64 (exp.f64 4) (pow.f64 t 2))))))
(*.f64 4 (pow.f64 t 2))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
Outputs
(*.f64 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 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))))
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (*.f64 12 (pow.f64 t 4)))
(+.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 4 (*.f64 t t)))))
(fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))
(fma.f64 t (*.f64 t (fma.f64 t -8 4)) (fma.f64 12 (pow.f64 t 4) (*.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 4 (-.f64 (/.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 4 (-.f64 (/.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 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.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 -8 t) (-.f64 (/.f64 12 (*.f64 t 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 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 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t)))
(-.f64 4 (-.f64 (/.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 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.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 -8 t) (-.f64 (/.f64 12 (*.f64 t 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
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 (*.f64 4 (*.f64 t t)) 1)
(fma.f64 4 (*.f64 t t) 1)
(+.f64 1 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t))) 1)
(+.f64 (*.f64 -8 (pow.f64 t 3)) (fma.f64 4 (*.f64 t t) 1))
(fma.f64 4 (*.f64 t t) (fma.f64 -8 (pow.f64 t 3) 1))
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)
(+.f64 1 (+.f64 (*.f64 20 (pow.f64 t 4)) (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))))
(+.f64 1 (fma.f64 20 (pow.f64 t 4) (fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))))
(+.f64 1 (fma.f64 (pow.f64 t 4) 20 (fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3)))))
(fma.f64 (pow.f64 t 4) 20 (fma.f64 4 (*.f64 t t) (fma.f64 -8 (pow.f64 t 3) 1)))
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (fma.f64 (pow.f64 t 4) 20 1))
(exp.f64 4)
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (exp.f64 4))
(fma.f64 -8 (/.f64 (exp.f64 4) t) (exp.f64 4))
(*.f64 (+.f64 (/.f64 -8 t) 1) (exp.f64 4))
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (+.f64 (exp.f64 4) (*.f64 44 (/.f64 (exp.f64 4) (pow.f64 t 2)))))
(+.f64 (fma.f64 -8 (/.f64 (exp.f64 4) t) (exp.f64 4)) (*.f64 44 (/.f64 (exp.f64 4) (*.f64 t t))))
(fma.f64 -8 (/.f64 (exp.f64 4) t) (fma.f64 44 (/.f64 (exp.f64 4) (*.f64 t t)) (exp.f64 4)))
(+.f64 (exp.f64 4) (*.f64 (/.f64 (exp.f64 4) t) (+.f64 (/.f64 44 t) -8)))
(fma.f64 (/.f64 (exp.f64 4) t) (+.f64 -8 (/.f64 44 t)) (exp.f64 4))
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (+.f64 (exp.f64 4) (+.f64 (*.f64 -592/3 (/.f64 (exp.f64 4) (pow.f64 t 3))) (*.f64 44 (/.f64 (exp.f64 4) (pow.f64 t 2))))))
(+.f64 (fma.f64 -8 (/.f64 (exp.f64 4) t) (exp.f64 4)) (fma.f64 -592/3 (/.f64 (exp.f64 4) (pow.f64 t 3)) (*.f64 44 (/.f64 (exp.f64 4) (*.f64 t t)))))
(+.f64 (fma.f64 -8 (/.f64 (exp.f64 4) t) (exp.f64 4)) (fma.f64 -592/3 (/.f64 (exp.f64 4) (pow.f64 t 3)) (/.f64 44 (/.f64 (*.f64 t t) (exp.f64 4)))))
(+.f64 (exp.f64 4) (fma.f64 -8 (/.f64 (exp.f64 4) t) (*.f64 (/.f64 (exp.f64 4) (*.f64 t t)) (+.f64 44 (/.f64 -592/3 t)))))
(+.f64 (exp.f64 4) (*.f64 (/.f64 (exp.f64 4) t) (+.f64 (/.f64 -592/3 (*.f64 t t)) (+.f64 -8 (/.f64 44 t)))))
(+.f64 (exp.f64 4) (*.f64 (/.f64 (exp.f64 4) t) (+.f64 -8 (+.f64 (/.f64 44 t) (/.f64 -592/3 (*.f64 t t))))))
(exp.f64 4)
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (exp.f64 4))
(fma.f64 -8 (/.f64 (exp.f64 4) t) (exp.f64 4))
(*.f64 (+.f64 (/.f64 -8 t) 1) (exp.f64 4))
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (+.f64 (exp.f64 4) (*.f64 44 (/.f64 (exp.f64 4) (pow.f64 t 2)))))
(+.f64 (fma.f64 -8 (/.f64 (exp.f64 4) t) (exp.f64 4)) (*.f64 44 (/.f64 (exp.f64 4) (*.f64 t t))))
(fma.f64 -8 (/.f64 (exp.f64 4) t) (fma.f64 44 (/.f64 (exp.f64 4) (*.f64 t t)) (exp.f64 4)))
(+.f64 (exp.f64 4) (*.f64 (/.f64 (exp.f64 4) t) (+.f64 (/.f64 44 t) -8)))
(fma.f64 (/.f64 (exp.f64 4) t) (+.f64 -8 (/.f64 44 t)) (exp.f64 4))
(+.f64 (*.f64 -8 (/.f64 (exp.f64 4) t)) (+.f64 (exp.f64 4) (+.f64 (*.f64 -592/3 (/.f64 (exp.f64 4) (pow.f64 t 3))) (*.f64 44 (/.f64 (exp.f64 4) (pow.f64 t 2))))))
(+.f64 (fma.f64 -8 (/.f64 (exp.f64 4) t) (exp.f64 4)) (fma.f64 -592/3 (/.f64 (exp.f64 4) (pow.f64 t 3)) (*.f64 44 (/.f64 (exp.f64 4) (*.f64 t t)))))
(+.f64 (fma.f64 -8 (/.f64 (exp.f64 4) t) (exp.f64 4)) (fma.f64 -592/3 (/.f64 (exp.f64 4) (pow.f64 t 3)) (/.f64 44 (/.f64 (*.f64 t t) (exp.f64 4)))))
(+.f64 (exp.f64 4) (fma.f64 -8 (/.f64 (exp.f64 4) t) (*.f64 (/.f64 (exp.f64 4) (*.f64 t t)) (+.f64 44 (/.f64 -592/3 t)))))
(+.f64 (exp.f64 4) (*.f64 (/.f64 (exp.f64 4) t) (+.f64 (/.f64 -592/3 (*.f64 t t)) (+.f64 -8 (/.f64 44 t)))))
(+.f64 (exp.f64 4) (*.f64 (/.f64 (exp.f64 4) t) (+.f64 -8 (+.f64 (/.f64 44 t) (/.f64 -592/3 (*.f64 t t))))))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))
(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 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))))
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (*.f64 12 (pow.f64 t 4)))
(+.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 4 (*.f64 t t)))))
(fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))
(fma.f64 t (*.f64 t (fma.f64 t -8 4)) (fma.f64 12 (pow.f64 t 4) (*.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 4 (-.f64 (/.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 4 (-.f64 (/.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 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.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 -8 t) (-.f64 (/.f64 12 (*.f64 t 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 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 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t)))
(-.f64 4 (-.f64 (/.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 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.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 -8 t) (-.f64 (/.f64 12 (*.f64 t 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)))))

localize11.0ms (0.1%)

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)

series5.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite89.0ms (0.7%)

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)))))

simplify23.0ms (0.2%)

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))

localize95.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiled 90 to 62 computations (31.1% saved)

series5.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite85.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
778×log-prod_binary64
454×fma-def_binary64
271×log-div_binary64
260×expm1-udef_binary64
260×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01435
131933
2471433
Stop Event
node limit
Counts
2 → 54
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 4 (*.f64 t t))))
(*.f64 4 (*.f64 t t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (/.f64 1 (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))) 2) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2)) (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (*.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) 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)) (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2)) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 1) (/.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) 2))) (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (cbrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2)) 2) (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) 2))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) 2))) (/.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (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 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2)) 2) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2)) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 (pow.f64 (*.f64 t t) 3) 64 8)) (fma.f64 (*.f64 t (*.f64 t 4)) (fma.f64 t (*.f64 t 4) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (-.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 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (sqrt.f64 (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) (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (neg.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) 3) (pow.f64 (fma.f64 t (*.f64 t 4) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) 2) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (log.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (log.f64 (fma.f64 t (*.f64 t 4) 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 4)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 4)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 4))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (*.f64 t 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 t t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 t t) 3) 64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 t 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (*.f64 t 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 t t) 3) 64))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (+.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 t t))) 1))))))

simplify88.0ms (0.7%)

Algorithm
egg-herbie
Rules
589×times-frac_binary64
365×associate-/l/_binary64
344×fma-def_binary64
310×associate-*l/_binary64
303×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037291
1104289
2260285
3708285
42403285
57117285
Stop Event
node limit
Counts
78 → 71
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)))))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
Outputs
1/2
(+.f64 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 t t (fma.f64 -4 (pow.f64 t 3) 1/2))
(fma.f64 t (fma.f64 (*.f64 t 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 1/2 (fma.f64 4 (pow.f64 t 4) (fma.f64 t t (*.f64 -4 (pow.f64 t 3)))))
(fma.f64 4 (pow.f64 t 4) (fma.f64 t t (fma.f64 -4 (pow.f64 t 3) 1/2)))
(fma.f64 t t (fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) 1/2)))
(fma.f64 t t (fma.f64 -4 (pow.f64 t 3) (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 (/.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 5/4 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3)))
(*.f64 (/.f64 1 (*.f64 t t)) (+.f64 (/.f64 -2 t) 5/4))
(-.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 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 -2 (pow.f64 t 3))))
(+.f64 (*.f64 (/.f64 1 (*.f64 t t)) (+.f64 (/.f64 -2 t) 5/4)) (/.f64 19/8 (pow.f64 t 4)))
(+.f64 (/.f64 5/4 (*.f64 t t)) (*.f64 (/.f64 -1 (pow.f64 t 3)) (-.f64 2 (/.f64 19/8 t))))
(-.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 5/4 (*.f64 t t)) (-.f64 (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3))) (/.f64 3 (pow.f64 t 5))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 -3 (pow.f64 t 5)))))
(/.f64 5/4 (pow.f64 t 2))
(/.f64 5/4 (*.f64 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 5/4 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3)))
(*.f64 (/.f64 1 (*.f64 t t)) (+.f64 (/.f64 -2 t) 5/4))
(-.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 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 -2 (pow.f64 t 3))))
(+.f64 (*.f64 (/.f64 1 (*.f64 t t)) (+.f64 (/.f64 -2 t) 5/4)) (/.f64 19/8 (pow.f64 t 4)))
(+.f64 (/.f64 5/4 (*.f64 t t)) (*.f64 (/.f64 -1 (pow.f64 t 3)) (-.f64 2 (/.f64 19/8 t))))
(-.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 5/4 (*.f64 t t)) (-.f64 (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3))) (/.f64 3 (pow.f64 t 5))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 -3 (pow.f64 t 5)))))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))

localize65.0ms (0.5%)

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

Compiled 119 to 91 computations (23.5% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite154.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
557×fma-def_binary64
314×expm1-udef_binary64
314×log1p-udef_binary64
276×fma-neg_binary64
250×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01581
136277
2574577
Stop Event
node limit
Counts
3 → 179
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t)))
(+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 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 2 (/.f64 -2 t)))))
Outputs
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(2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 1) (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) (fma.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (+.f64 2 (/.f64 -2 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (+.f64 2 (/.f64 -2 t)) 2)) 2)) (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (cbrt.f64 (fma.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (+.f64 2 (/.f64 -2 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)) 2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (+.f64 2 (/.f64 -2 t)) 2)) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (fma.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (+.f64 2 (/.f64 -2 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 2 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t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (fma.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (+.f64 2 (/.f64 -2 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (fma.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (+.f64 2 (/.f64 -2 t)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 3) (pow.f64 (fma.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (+.f64 2 (/.f64 -2 t)) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (fma.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (+.f64 2 (/.f64 -2 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) (fma.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (+.f64 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simplify54.0ms (0.5%)

Algorithm
egg-herbie
Rules
728×fma-def_binary64
669×times-frac_binary64
462×associate-*l/_binary64
433×associate-/l/_binary64
306×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061417
1180405
2469403
31346387
43985387
Stop Event
node limit
Counts
215 → 221
Calls
Call 1
Inputs
-4
(-.f64 (*.f64 8 t) 4)
(-.f64 (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2))) 4)
(-.f64 (+.f64 (*.f64 8 (pow.f64 t 3)) (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2)))) 4)
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
-2
(-.f64 (*.f64 8 t) 2)
(-.f64 (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2))) 2)
(-.f64 (+.f64 (*.f64 8 (pow.f64 t 3)) (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2)))) 2)
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
-1/2
(-.f64 (*.f64 -2 t) 1/2)
(-.f64 (+.f64 (*.f64 -2 t) (*.f64 -8 (pow.f64 t 2))) 1/2)
(-.f64 (+.f64 (*.f64 -22 (pow.f64 t 3)) (+.f64 (*.f64 -2 t) (*.f64 -8 (pow.f64 t 2)))) 1/2)
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 16/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 16/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 38/81 (/.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 5/6 (*.f64 16/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 16/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 38/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
Outputs
-4
(-.f64 (*.f64 8 t) 4)
(fma.f64 8 t -4)
(-.f64 (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2))) 4)
(+.f64 (fma.f64 8 t (*.f64 -8 (*.f64 t t))) -4)
(fma.f64 8 t (fma.f64 -8 (*.f64 t t) -4))
(fma.f64 8 t (fma.f64 t (*.f64 t -8) -4))
(fma.f64 t (fma.f64 t -8 8) -4)
(-.f64 (+.f64 (*.f64 8 (pow.f64 t 3)) (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2)))) 4)
(+.f64 (fma.f64 8 (pow.f64 t 3) (fma.f64 8 t (*.f64 -8 (*.f64 t t)))) -4)
(fma.f64 8 (pow.f64 t 3) (fma.f64 8 t (fma.f64 -8 (*.f64 t t) -4)))
(fma.f64 8 (+.f64 t (pow.f64 t 3)) (fma.f64 t (*.f64 t -8) -4))
(fma.f64 t (fma.f64 t -8 8) (fma.f64 8 (pow.f64 t 3) -4))
(fma.f64 8 t (fma.f64 t (*.f64 t (fma.f64 8 t -8)) -4))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (/.f64 8 (*.f64 t t))) (/.f64 8 t))
(+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 8 (*.f64 t t)))
(-.f64 4 (-.f64 (/.f64 8 t) (/.f64 8 (*.f64 t t))))
(+.f64 4 (*.f64 (/.f64 8 t) (+.f64 (/.f64 1 t) -1)))
(-.f64 (+.f64 4 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(+.f64 4 (-.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t)) (/.f64 8 (pow.f64 t 3))))
(+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -8 (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 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (/.f64 8 (*.f64 t t))) (/.f64 8 t))
(+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 8 (*.f64 t t)))
(-.f64 4 (-.f64 (/.f64 8 t) (/.f64 8 (*.f64 t t))))
(+.f64 4 (*.f64 (/.f64 8 t) (+.f64 (/.f64 1 t) -1)))
(-.f64 (+.f64 4 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(+.f64 4 (-.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t)) (/.f64 8 (pow.f64 t 3))))
(+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -8 (pow.f64 t 3)))))
-2
(-.f64 (*.f64 8 t) 2)
(fma.f64 8 t -2)
(-.f64 (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2))) 2)
(+.f64 (fma.f64 8 t (*.f64 -8 (*.f64 t t))) -2)
(fma.f64 8 t (fma.f64 -8 (*.f64 t t) -2))
(fma.f64 8 t (fma.f64 t (*.f64 t -8) -2))
(fma.f64 t (fma.f64 t -8 8) -2)
(-.f64 (+.f64 (*.f64 8 (pow.f64 t 3)) (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2)))) 2)
(+.f64 (fma.f64 8 (pow.f64 t 3) (fma.f64 8 t (*.f64 -8 (*.f64 t t)))) -2)
(fma.f64 8 (pow.f64 t 3) (fma.f64 8 t (fma.f64 -8 (*.f64 t t) -2)))
(fma.f64 8 (+.f64 t (pow.f64 t 3)) (fma.f64 t (*.f64 t -8) -2))
(fma.f64 8 t (fma.f64 t (*.f64 t (fma.f64 8 t -8)) -2))
(fma.f64 8 (pow.f64 t 3) (fma.f64 t (fma.f64 t -8 8) -2))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (/.f64 8 (*.f64 t t)) 6) (/.f64 8 t))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 6 (*.f64 (/.f64 8 t) (+.f64 (/.f64 1 t) -1)))
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (/.f64 8 (*.f64 t t)) 6) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3))))
(+.f64 6 (-.f64 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t)) (/.f64 8 (pow.f64 t 3))))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 6 (+.f64 (/.f64 -8 t) (/.f64 -8 (pow.f64 t 3)))))
(+.f64 (/.f64 8 (*.f64 t t)) (-.f64 (/.f64 -8 t) (+.f64 (/.f64 8 (pow.f64 t 3)) -6)))
(+.f64 (+.f64 6 (*.f64 (/.f64 8 t) (+.f64 (/.f64 1 t) -1))) (/.f64 -8 (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 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (/.f64 8 (*.f64 t t)) 6) (/.f64 8 t))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 6 (*.f64 (/.f64 8 t) (+.f64 (/.f64 1 t) -1)))
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (/.f64 8 (*.f64 t t)) 6) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3))))
(+.f64 6 (-.f64 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t)) (/.f64 8 (pow.f64 t 3))))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 6 (+.f64 (/.f64 -8 t) (/.f64 -8 (pow.f64 t 3)))))
(+.f64 (/.f64 8 (*.f64 t t)) (-.f64 (/.f64 -8 t) (+.f64 (/.f64 8 (pow.f64 t 3)) -6)))
(+.f64 (+.f64 6 (*.f64 (/.f64 8 t) (+.f64 (/.f64 1 t) -1))) (/.f64 -8 (pow.f64 t 3)))
-1/2
(-.f64 (*.f64 -2 t) 1/2)
(fma.f64 -2 t -1/2)
(fma.f64 t -2 -1/2)
(-.f64 (+.f64 (*.f64 -2 t) (*.f64 -8 (pow.f64 t 2))) 1/2)
(+.f64 (fma.f64 -2 t (*.f64 -8 (*.f64 t t))) -1/2)
(fma.f64 t -2 (fma.f64 -8 (*.f64 t t) -1/2))
(fma.f64 t (*.f64 t -8) (fma.f64 t -2 -1/2))
(fma.f64 t (fma.f64 t -8 -2) -1/2)
(-.f64 (+.f64 (*.f64 -22 (pow.f64 t 3)) (+.f64 (*.f64 -2 t) (*.f64 -8 (pow.f64 t 2)))) 1/2)
(+.f64 (fma.f64 -22 (pow.f64 t 3) (fma.f64 -2 t (*.f64 -8 (*.f64 t t)))) -1/2)
(fma.f64 (pow.f64 t 3) -22 (fma.f64 t -2 (fma.f64 -8 (*.f64 t t) -1/2)))
(fma.f64 (pow.f64 t 3) -22 (fma.f64 t (*.f64 t -8) (fma.f64 t -2 -1/2)))
(fma.f64 t -2 (fma.f64 t (*.f64 t (fma.f64 t -22 -8)) -1/2))
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 5/6 (*.f64 16/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (/.f64 16/27 (*.f64 t t))) (/.f64 2/9 t))
(+.f64 (/.f64 16/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 16/27 (*.f64 t t)))
(-.f64 (/.f64 16/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) -5/6))
(+.f64 5/6 (+.f64 (/.f64 16/27 (*.f64 t t)) (/.f64 -2/9 t)))
(-.f64 (+.f64 5/6 (*.f64 16/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 38/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
(+.f64 5/6 (-.f64 (/.f64 16/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 38/81 (pow.f64 t 3)))))
(+.f64 (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 16/27 (*.f64 t t))) (/.f64 -38/81 (pow.f64 t 3)))
(+.f64 (/.f64 16/27 (*.f64 t t)) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 -38/81 (pow.f64 t 3)))))
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 5/6 (*.f64 16/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (/.f64 16/27 (*.f64 t t))) (/.f64 2/9 t))
(+.f64 (/.f64 16/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 16/27 (*.f64 t t)))
(-.f64 (/.f64 16/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) -5/6))
(+.f64 5/6 (+.f64 (/.f64 16/27 (*.f64 t t)) (/.f64 -2/9 t)))
(-.f64 (+.f64 5/6 (*.f64 16/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 38/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
(+.f64 5/6 (-.f64 (/.f64 16/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 38/81 (pow.f64 t 3)))))
(+.f64 (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 16/27 (*.f64 t t))) (/.f64 -38/81 (pow.f64 t 3)))
(+.f64 (/.f64 16/27 (*.f64 t t)) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 -38/81 (pow.f64 t 3)))))

localize3.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval791.0ms (6.6%)

Compiler

Compiled 23080 to 18099 computations (21.6% saved)

prune117.0ms (1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New7495754
Fresh156
Picked011
Done314
Total75312765
Error
0b
Counts
765 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
30.1b
(+.f64 5/6 (/.f64 -2/9 t))
18.8b
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
32.3b
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t))))
32.8b
(fma.f64 t t 1/2)
18.2b
(/.f64 (+.f64 1 (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
30.1b
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
30.5b
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
33.1b
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 4 (*.f64 t t))))
25.3b
5/6
27.1b
1/2
30.1b
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
Compiler

Compiled 371 to 290 computations (21.8% saved)

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.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)))
0.5b
(pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)
0.8b
(-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)
Compiler

Compiled 145 to 113 computations (22.1% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
t
@inf
(-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)
1.0ms
t
@inf
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
1.0ms
t
@-inf
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
1.0ms
t
@-inf
(-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)
1.0ms
t
@0
(-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)

rewrite102.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
524×fma-def_binary64
357×fma-neg_binary64
274×log1p-udef_binary64
273×expm1-udef_binary64
218×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01775
141963
2593657
Stop Event
node limit
Counts
3 → 221
Calls
Call 1
Inputs
(-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)
(pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.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 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 t (+.f64 1 t)) (*.f64 2 (/.f64 t (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (+.f64 1 t)) (*.f64 2 (*.f64 2 (/.f64 t (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 t) (*.f64 (/.f64 1 (+.f64 1 t)) (*.f64 2 (/.f64 t (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) (*.f64 2 (/.f64 t (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 t t)) (*.f64 (/.f64 1 (+.f64 1 t)) (/.f64 1 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 t t)) (pow.f64 (/.f64 1 (+.f64 1 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 t t)) (/.f64 1 (pow.f64 (+.f64 1 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4)) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (*.f64 (cbrt.f64 (*.f64 2 (/.f64 t (+.f64 1 t)))) (*.f64 2 (/.f64 t (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 1 t)))) (*.f64 (sqrt.f64 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simplify67.0ms (0.6%)

Algorithm
egg-herbie
Rules
700×fma-def_binary64
421×associate-+l+_binary64
336×associate-/r*_binary64
333×associate--l+_binary64
264×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01571398
1514837
21909543
37845543
Stop Event
node limit
Counts
257 → 273
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 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))))
(-.f64 (pow.f64 (sqrt.f64 5) 2) 1)
(-.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 1 (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 1 (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))) (+.f64 1 (*.f64 8 (/.f64 1 t))))
(-.f64 (pow.f64 (sqrt.f64 5) 2) 1)
(-.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 1 (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 1 (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))))
1
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(+.f64 1 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
(pow.f64 (sqrt.f64 5) 2)
(-.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))) (*.f64 8 (/.f64 1 t)))
(pow.f64 (sqrt.f64 5) 2)
(-.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.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))))
(*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2)))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2))))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 3))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (+.f64 (*.f64 4/3 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2)))) (*.f64 1/3 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))) (*.f64 -4/9 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))))
(*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))
(+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 -1 (/.f64 (-.f64 8/3 (+.f64 (*.f64 2 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2))) (+.f64 (*.f64 4/3 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (*.f64 1/3 (pow.f64 (sqrt.f64 5) 2))))) (*.f64 4/9 (pow.f64 (sqrt.f64 5) 2))))) (pow.f64 t 3))) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2)))))
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)))
(*.f64 (*.f64 t 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 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 -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 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4)))))
(fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))
(-.f64 (pow.f64 (sqrt.f64 5) 2) 1)
(+.f64 (pow.f64 (sqrt.f64 5) 2) -1)
4
(-.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 1 (*.f64 8 (/.f64 1 t))))
(-.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 1 (/.f64 8 t)))
(+.f64 4 (/.f64 -8 t))
(-.f64 4 (/.f64 8 t))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 1 (*.f64 8 (/.f64 1 t))))
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 1 (/.f64 8 t))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))) (+.f64 1 (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 (/.f64 12 (*.f64 t t)) (fma.f64 -1 (/.f64 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3)) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 5) 2))))))) (+.f64 1 (/.f64 8 t)))
(+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (*.f64 -4/5 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 3))) (/.f64 (fma.f64 -4 (-.f64 12/5 (/.f64 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2) 5)) 16) (pow.f64 t 3)))) (+.f64 4 (/.f64 -8 t)))
(+.f64 (-.f64 4 (/.f64 8 t)) (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -16 (pow.f64 t 3))))
(-.f64 (pow.f64 (sqrt.f64 5) 2) 1)
(+.f64 (pow.f64 (sqrt.f64 5) 2) -1)
4
(-.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 1 (*.f64 8 (/.f64 1 t))))
(-.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 1 (/.f64 8 t)))
(+.f64 4 (/.f64 -8 t))
(-.f64 4 (/.f64 8 t))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 1 (*.f64 8 (/.f64 1 t))))
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 1 (/.f64 8 t))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 (/.f64 12 (*.f64 t t)) (fma.f64 -1 (/.f64 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3)) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 5) 2))))))) (+.f64 1 (/.f64 8 t)))
(+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (*.f64 -4/5 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 3))) (/.f64 (fma.f64 -4 (-.f64 12/5 (/.f64 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2) 5)) 16) (pow.f64 t 3)))) (+.f64 4 (/.f64 -8 t)))
(+.f64 (-.f64 4 (/.f64 8 t)) (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -16 (pow.f64 t 3))))
1
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 (*.f64 4 (*.f64 t t)) 1)
(fma.f64 4 (*.f64 t t) 1)
(+.f64 1 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t))) 1)
(+.f64 (*.f64 -8 (pow.f64 t 3)) (fma.f64 4 (*.f64 t t) 1))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) 1))
(+.f64 1 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4)))))
(+.f64 (fma.f64 -8 (pow.f64 t 3) (*.f64 12 (pow.f64 t 4))) (fma.f64 4 (*.f64 t t) 1))
(+.f64 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))) (fma.f64 12 (pow.f64 t 4) 1))
(pow.f64 (sqrt.f64 5) 2)
5
(-.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 8 (/.f64 1 t)))
(-.f64 (pow.f64 (sqrt.f64 5) 2) (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 5 (/.f64 8 t))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (+.f64 5 (/.f64 12 (*.f64 t t))) (/.f64 -8 t))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))) (*.f64 8 (/.f64 1 t)))
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (fma.f64 -1 (/.f64 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3)) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 5) 2)))))) (/.f64 8 t)))
(+.f64 5 (+.f64 (-.f64 (*.f64 -4/5 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 3))) (/.f64 (fma.f64 -4 (-.f64 12/5 (/.f64 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2) 5)) 16) (pow.f64 t 3))) (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))))
(+.f64 (+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) (/.f64 -16 (pow.f64 t 3)))
(pow.f64 (sqrt.f64 5) 2)
5
(-.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 8 (/.f64 1 t)))
(-.f64 (pow.f64 (sqrt.f64 5) 2) (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 5 (/.f64 8 t))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (+.f64 5 (/.f64 12 (*.f64 t t))) (/.f64 -8 t))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (fma.f64 -1 (/.f64 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3)) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 5) 2)))))) (/.f64 8 t)))
(+.f64 5 (+.f64 (-.f64 (*.f64 -4/5 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 3))) (/.f64 (fma.f64 -4 (-.f64 12/5 (/.f64 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2) 5)) 16) (pow.f64 t 3))) (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))))
(+.f64 (+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.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 (pow.f64 t 3) -2 (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 (pow.f64 t 3) -2 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 1/6 (pow.f64 (sqrt.f64 5) 2))
(*.f64 (pow.f64 (sqrt.f64 5) 2) 1/6)
5/6
(+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))
(fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 (pow.f64 (sqrt.f64 5) 2) 1/6))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2)))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 1/6 (+.f64 (/.f64 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (*.f64 t t)) (pow.f64 (sqrt.f64 5) 2)))) (fma.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 t t)) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 t t)))))
(+.f64 (fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 t t)) 5/6) (-.f64 (/.f64 -2/9 t) (+.f64 (/.f64 8/27 (*.f64 t t)) (/.f64 5/3 (*.f64 t t)))))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (+.f64 (/.f64 -8/27 (*.f64 t t)) (/.f64 -5/3 (*.f64 t t))))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2))))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 3))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (+.f64 (*.f64 4/3 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2)))) (*.f64 1/3 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))) (*.f64 -4/9 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))))
(-.f64 (fma.f64 1/6 (/.f64 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (*.f64 t t)) (fma.f64 1/6 (/.f64 (fma.f64 -1 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3)) (fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 (pow.f64 (sqrt.f64 5) 2) 1/6)))) (fma.f64 -2 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (pow.f64 t 3)) (fma.f64 -4/3 (/.f64 (-.f64 (*.f64 1/6 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)))) (fma.f64 4/3 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 (pow.f64 (sqrt.f64 5) 2) 1/3))) (pow.f64 t 3)) (fma.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 t t)) (fma.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 t t)) (*.f64 -4/9 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))))
(-.f64 (+.f64 (fma.f64 1/6 (/.f64 (-.f64 (/.f64 (*.f64 -4 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) 5) (fma.f64 -4 (-.f64 12/5 (/.f64 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2) 5)) 16)) (pow.f64 t 3)) (/.f64 -2/9 t)) (fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 t t)) 5/6)) (+.f64 (/.f64 -4/9 (pow.f64 t 3)) (fma.f64 -4/3 (/.f64 (fma.f64 1/6 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) -53/27) (pow.f64 t 3)) (+.f64 (/.f64 -20/9 (pow.f64 t 3)) (+.f64 (/.f64 8/27 (*.f64 t t)) (/.f64 5/3 (*.f64 t t)))))))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 5/6 (+.f64 (+.f64 (/.f64 -8/3 (pow.f64 t 3)) (/.f64 -2/9 t)) (-.f64 (/.f64 4/9 (pow.f64 t 3)) (+.f64 (/.f64 8/27 (*.f64 t t)) (+.f64 (/.f64 -4/81 (pow.f64 t 3)) (*.f64 (/.f64 5 (*.f64 t t)) (+.f64 1/3 (/.f64 -4/9 t)))))))))
(*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))
(*.f64 (pow.f64 (sqrt.f64 5) 2) 1/6)
5/6
(+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))
(fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 (pow.f64 (sqrt.f64 5) 2) 1/6))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2)))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 1/6 (+.f64 (/.f64 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (*.f64 t t)) (pow.f64 (sqrt.f64 5) 2)))) (fma.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 t t)) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 t t)))))
(+.f64 (fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 t t)) 5/6) (-.f64 (/.f64 -2/9 t) (+.f64 (/.f64 8/27 (*.f64 t t)) (/.f64 5/3 (*.f64 t t)))))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (+.f64 (/.f64 -8/27 (*.f64 t t)) (/.f64 -5/3 (*.f64 t t))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 -1 (/.f64 (-.f64 8/3 (+.f64 (*.f64 2 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2))) (+.f64 (*.f64 4/3 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (*.f64 1/3 (pow.f64 (sqrt.f64 5) 2))))) (*.f64 4/9 (pow.f64 (sqrt.f64 5) 2))))) (pow.f64 t 3))) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2)))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (fma.f64 -1 (/.f64 (-.f64 8/3 (fma.f64 2 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (fma.f64 4/3 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (/.f64 16 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2))) (fma.f64 4/3 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 (pow.f64 (sqrt.f64 5) 2) 1/3))) (*.f64 (pow.f64 (sqrt.f64 5) 2) 4/9)))) (pow.f64 t 3)) (*.f64 1/6 (+.f64 (/.f64 (-.f64 (+.f64 12 (/.f64 16 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (*.f64 t t)) (pow.f64 (sqrt.f64 5) 2))))) (fma.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 t t)) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 t t)))))
(+.f64 (/.f64 -2/9 t) (-.f64 (-.f64 (fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (*.f64 t t)) 5/6) (/.f64 (-.f64 0 (*.f64 4/3 (fma.f64 1/6 (-.f64 76/5 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) -53/27))) (pow.f64 t 3))) (+.f64 (/.f64 8/27 (*.f64 t t)) (/.f64 5/3 (*.f64 t t)))))
(+.f64 (/.f64 -2/9 t) (+.f64 (-.f64 5/6 (/.f64 -4/81 (pow.f64 t 3))) (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -8/27 (*.f64 t t)) (/.f64 -5/3 (*.f64 t t))))))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
0.3b
(/.f64 -2/9 t)
1.8b
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
Compiler

Compiled 29 to 24 computations (17.2% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
t
@0
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
0.0ms
t
@0
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
0.0ms
t
@inf
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
0.0ms
t
@-inf
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
0.0ms
t
@inf
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))

rewrite70.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
534×unpow-prod-down_binary64
411×fma-def_binary64
379×prod-diff_binary64
365×log-prod_binary64
243×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
121611
2308311
Stop Event
node limit
Counts
2 → 164
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 -2/9 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 -2/9 t) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2/9 t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -2/9 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2/9 t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2/9 t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2/9 t))))) (#(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 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (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 2/9 (pow.f64 (/.f64 1 (neg.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) -2/9)))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify15.0ms (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
010117
120117
231117
347117
462117
580117
698117
7113117
8120117
Stop Event
saturated
Counts
188 → 167
Calls
Call 1
Inputs
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.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 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 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))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 4 (*.f64 t t))
18.2b
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
Compiler

Compiled 42 to 24 computations (42.9% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite59.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
541×prod-diff_binary64
474×log-prod_binary64
386×fma-def_binary64
284×pow-prod-down_binary64
264×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01022
121818
2286618
Stop Event
node limit
Counts
1 → 45
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 4 (*.f64 t t) 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 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 4 (*.f64 t t) 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 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (*.f64 t t) 1) (/.f64 1 (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 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 4 (*.f64 t t) 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 4 (*.f64 t t) 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 4 (*.f64 t t) 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 4 (*.f64 t t) 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 4 (*.f64 t t) 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)) (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 2) 2))) (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (cbrt.f64 (pow.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 4 (*.f64 t t) 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 4 (*.f64 t t) 1)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (*.f64 t t) 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 4 (*.f64 t t) 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 4 (*.f64 t t) 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) 1) (fma.f64 4 (*.f64 t t) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 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 4 (*.f64 t t) 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 4 (*.f64 t t) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 4 (*.f64 t t) 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) 1) (fma.f64 4 (*.f64 t t) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 4 (*.f64 t t) 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) 1) (fma.f64 4 (*.f64 t t) 2)) 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 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 4 (*.f64 t t) 1))) -1))))))

simplify48.0ms (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
57 → 59
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)))))

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (*.f64 2 t) (+.f64 1 t))
0.0b
(*.f64 4 (*.f64 t t))
0.0b
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))
17.6b
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t))))
Compiler

Compiled 81 to 55 computations (32.1% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite79.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
811×log-prod_binary64
579×fma-def_binary64
272×fma-neg_binary64
266×expm1-udef_binary64
266×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01547
134239
2467939
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))
Outputs
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(hypot.f64 1 (/.f64 (+.f64 t t) (sqrt.f64 (+.f64 1 t)))) (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 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) 2) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 (pow.f64 (*.f64 t t) 3) 64 8)) (fma.f64 (*.f64 t (*.f64 t 4)) (fma.f64 t (*.f64 t 4) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (-.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 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (/.f64 (+.f64 t t) (sqrt.f64 (+.f64 1 t)))) (sqrt.f64 (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) (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (neg.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) 3) (pow.f64 (fma.f64 t (*.f64 t 4) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (log.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (log.f64 (fma.f64 t (*.f64 t 4) 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 2 (/.f64 t (+.f64 1 t)))) (*.f64 t (*.f64 2 (/.f64 t (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 t) (*.f64 t (*.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 t t) (*.f64 1/2 (/.f64 (+.f64 1 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 t (*.f64 t 4))) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 t t) 2) (/.f64 (+.f64 1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 t t)) (/.f64 (+.f64 1 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t -2) (+.f64 t t)) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 t t) (*.f64 t -2)) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t (*.f64 t 4)) 1) (+.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t (*.f64 t 4)) (pow.f64 (cbrt.f64 (+.f64 1 t)) 2)) (cbrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t (*.f64 t 4)) (sqrt.f64 (+.f64 1 t))) (sqrt.f64 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 t t) (sqrt.f64 (+.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (pow.f64 t 4) 16) (pow.f64 (+.f64 1 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (fma.f64 2 (log.f64 t) (log.f64 4)) (log1p.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (fma.f64 2 (log.f64 t) (log.f64 4)) (log1p.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (/.f64 (+.f64 t t) (sqrt.f64 (+.f64 1 t)))) (hypot.f64 1 (/.f64 (+.f64 t t) (sqrt.f64 (+.f64 1 t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) 3)) (/.f64 1 (fma.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) (-.f64 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)) 1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 t 4) 16) (pow.f64 (+.f64 1 t) 2))) (/.f64 1 (-.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t)))) -1)))))

simplify46.0ms (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
98 → 104
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)

localize57.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)
0.0b
(exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))
0.8b
(log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))
17.6b
(/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1))
Compiler

Compiled 137 to 97 computations (29.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite56.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
909×pow1_binary64
856×log1p-expm1-u_binary64
856×expm1-log1p-u_binary64
855×add-log-exp_binary64
838×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
117413
2235913
Stop Event
node limit
Counts
1 → 47
Calls
Call 1
Inputs
(/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (/.f64 (+.f64 t 1) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 t t) (/.f64 1 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t t) (*.f64 4 (/.f64 1 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 t t)) (/.f64 1 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))) (pow.f64 (cbrt.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))) 2) (cbrt.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 16 (pow.f64 t 4))) (*.f64 (cbrt.f64 (*.f64 4 (*.f64 t t))) (/.f64 1 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t 2) (sqrt.f64 (+.f64 t 1))) (/.f64 (*.f64 t 2) (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 2) (*.f64 (*.f64 t 2) (/.f64 1 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t t) -4) (/.f64 1 (+.f64 -1 (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 t 1)) (*.f64 4 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 t) (*.f64 t (/.f64 1 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t t) 1) (/.f64 4 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 t 4))) 1) (/.f64 (cbrt.f64 (*.f64 4 (*.f64 t t))) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t 2) 1) (/.f64 (*.f64 t 2) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 t) 1) (/.f64 t (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (/.f64 (*.f64 t t) (cbrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t t) (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (/.f64 4 (cbrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (/.f64 (*.f64 4 (*.f64 t t)) (cbrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 t 4))) (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (cbrt.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t 2) (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (/.f64 (*.f64 t 2) (cbrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 t) (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (/.f64 t (cbrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sqrt.f64 (+.f64 t 1))) (/.f64 (*.f64 t t) (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t t) (sqrt.f64 (+.f64 t 1))) (/.f64 4 (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 t 1))) (/.f64 (*.f64 4 (*.f64 t t)) (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 t 4))) (sqrt.f64 (+.f64 t 1))) (/.f64 (cbrt.f64 (*.f64 4 (*.f64 t t))) (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 t) (sqrt.f64 (+.f64 t 1))) (/.f64 t (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 (pow.f64 t 3))) (fma.f64 t t (-.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 (*.f64 t t)) (fma.f64 t t -1)) (+.f64 t -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 t 2) (sqrt.f64 (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (/.f64 (+.f64 t 1) (*.f64 t t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 -1 (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 16 (pow.f64 t 4)) (pow.f64 (+.f64 t 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (*.f64 t t)) 3) (pow.f64 (+.f64 t 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 4 (*.f64 t t))) (log1p.f64 t)))))))

simplify55.0ms (0.5%)

Algorithm
egg-herbie
Rules
622×fma-neg_binary64
595×associate-/l/_binary64
565×times-frac_binary64
441×distribute-lft-out_binary64
423×fma-def_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
031150
190150
2224146
3639139
42017139
54493133
Stop Event
node limit
Counts
59 → 62
Calls
Call 1
Inputs
(*.f64 4 (pow.f64 t 2))
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (+.f64 (*.f64 -4 (pow.f64 t 5)) (*.f64 4 (pow.f64 t 2)))))
(*.f64 4 t)
(-.f64 (*.f64 4 t) 4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))
(*.f64 4 t)
(-.f64 (*.f64 4 t) 4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))
Outputs
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -4 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))
(fma.f64 4 (*.f64 t t) (*.f64 -4 (pow.f64 t 3)))
(*.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 4 (*.f64 t t))))
(fma.f64 4 (pow.f64 t 4) (fma.f64 4 (*.f64 t t) (*.f64 -4 (pow.f64 t 3))))
(fma.f64 4 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -4))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 4 t -4))))
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t (fma.f64 4 t -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 4 (*.f64 t t)))))
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 -4 (pow.f64 t 5)))))
(fma.f64 -4 (+.f64 (pow.f64 t 3) (pow.f64 t 5)) (*.f64 4 (+.f64 (pow.f64 t 4) (*.f64 t t))))
(fma.f64 4 (fma.f64 t t (pow.f64 t 4)) (*.f64 -4 (+.f64 (pow.f64 t 3) (pow.f64 t 5))))
(*.f64 (*.f64 (pow.f64 t 3/2) (fma.f64 t -4 4)) (+.f64 (pow.f64 t 5/2) (sqrt.f64 t)))
(*.f64 4 t)
(-.f64 (*.f64 4 t) 4)
(fma.f64 4 t -4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4)
(+.f64 (/.f64 4 t) (fma.f64 4 t -4))
(+.f64 -4 (fma.f64 4 t (/.f64 4 t)))
(fma.f64 4 t (+.f64 -4 (/.f64 4 t)))
(+.f64 (fma.f64 4 t -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 4 t (/.f64 4 t)) (-.f64 -4 (/.f64 4 (*.f64 t t))))
(+.f64 (fma.f64 4 t (+.f64 -4 (/.f64 4 t))) (/.f64 -4 (*.f64 t t)))
(+.f64 (/.f64 4 t) (+.f64 (fma.f64 4 t -4) (/.f64 -4 (*.f64 t t))))
(+.f64 -4 (+.f64 (fma.f64 4 t (/.f64 4 t)) (/.f64 -4 (*.f64 t t))))
(fma.f64 4 t (fma.f64 (/.f64 1 t) (-.f64 4 (/.f64 4 t)) -4))
(*.f64 4 t)
(-.f64 (*.f64 4 t) 4)
(fma.f64 4 t -4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4)
(+.f64 (/.f64 4 t) (fma.f64 4 t -4))
(+.f64 -4 (fma.f64 4 t (/.f64 4 t)))
(fma.f64 4 t (+.f64 -4 (/.f64 4 t)))
(+.f64 (fma.f64 4 t -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 4 t (/.f64 4 t)) (-.f64 -4 (/.f64 4 (*.f64 t t))))
(+.f64 (fma.f64 4 t (+.f64 -4 (/.f64 4 t))) (/.f64 -4 (*.f64 t t)))
(+.f64 (/.f64 4 t) (+.f64 (fma.f64 4 t -4) (/.f64 -4 (*.f64 t t))))
(+.f64 -4 (+.f64 (fma.f64 4 t (/.f64 4 t)) (/.f64 -4 (*.f64 t t))))
(fma.f64 4 t (fma.f64 (/.f64 1 t) (-.f64 4 (/.f64 4 t)) -4))

eval988.0ms (8.3%)

Compiler

Compiled 26129 to 20582 computations (21.2% saved)

prune175.0ms (1.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New9436949
Fresh145
Picked101
Done336
Total94813961
Error
0b
Counts
961 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
61.8b
(/.f64 1 t)
30.5b
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
30.1b
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
30.1b
(+.f64 5/6 (/.f64 -2/9 t))
18.8b
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
0.0b
(/.f64 (+.f64 1 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
18.4b
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
32.8b
(fma.f64 t t 1/2)
30.1b
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
25.3b
5/6
33.0b
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t))))
27.1b
1/2
32.8b
(/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
Compiler

Compiled 399 to 315 computations (21.1% saved)

localize132.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiled 243 to 196 computations (19.3% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite154.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
765×log-prod_binary64
481×fma-def_binary64
284×fma-neg_binary64
265×expm1-udef_binary64
263×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01587
136139
2496339
Stop Event
node limit
Counts
3 → 212
Calls
Call 1
Inputs
(-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) 1)
(pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4)
(pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)
Outputs
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(cbrt.f64 (fma.f64 -16 (pow.f64 (/.f64 t (+.f64 1 t)) 4) 1)) (sqrt.f64 (fma.f64 -4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 -16 (pow.f64 (/.f64 t (+.f64 1 t)) 4) 1) 1) (/.f64 1 (fma.f64 -4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 -16 (pow.f64 (/.f64 t (+.f64 1 t)) 4) 1) (pow.f64 (cbrt.f64 (fma.f64 -4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 -4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 -16 (pow.f64 (/.f64 t (+.f64 1 t)) 4) 1) (fma.f64 -16 (pow.f64 (/.f64 t (+.f64 1 t)) 4) 1)) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 -16 (pow.f64 (/.f64 t (+.f64 1 t)) 4) 1) (-.f64 1 (pow.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) 6))) (+.f64 1 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) (pow.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 -16 (pow.f64 (/.f64 t (+.f64 1 t)) 4) 1) (cbrt.f64 (pow.f64 (fma.f64 -4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) -2))) (/.f64 1 (cbrt.f64 (fma.f64 -4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 -16 (pow.f64 (/.f64 t (+.f64 1 t)) 4) 1) (pow.f64 (fma.f64 -4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) -1/2)) (pow.f64 (fma.f64 -4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (fma.f64 -4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1)) (pow.f64 (cbrt.f64 (fma.f64 -16 (pow.f64 (/.f64 t (+.f64 1 t)) 4) 1)) 2)) (cbrt.f64 (fma.f64 -16 (pow.f64 (/.f64 t (+.f64 1 t)) 4) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (fma.f64 -4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1)) (sqrt.f64 (fma.f64 -16 (pow.f64 (/.f64 t (+.f64 1 t)) 4) 1))) (sqrt.f64 (fma.f64 -16 (pow.f64 (/.f64 t (+.f64 1 t)) 4) 1)) -1)))))

simplify80.0ms (0.7%)

Algorithm
egg-herbie
Rules
768×fma-def_binary64
609×times-frac_binary64
506×unswap-sqr_binary64
475×associate-*l*_binary64
357×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
063504
1182504
2469498
31313486
44631484
Stop Event
node limit
Counts
248 → 167
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 -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)))))
(*.f64 16 (pow.f64 t 4))
(+.f64 (*.f64 -64 (pow.f64 t 5)) (*.f64 16 (pow.f64 t 4)))
(+.f64 (*.f64 -64 (pow.f64 t 5)) (+.f64 (*.f64 160 (pow.f64 t 6)) (*.f64 16 (pow.f64 t 4))))
(+.f64 (*.f64 -64 (pow.f64 t 5)) (+.f64 (*.f64 160 (pow.f64 t 6)) (+.f64 (*.f64 -320 (pow.f64 t 7)) (*.f64 16 (pow.f64 t 4)))))
16
(-.f64 16 (*.f64 64 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 160 (/.f64 1 (pow.f64 t 2))) 16) (*.f64 64 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 160 (/.f64 1 (pow.f64 t 2))) 16) (+.f64 (*.f64 320 (/.f64 1 (pow.f64 t 3))) (*.f64 64 (/.f64 1 t))))
16
(-.f64 16 (*.f64 64 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 160 (/.f64 1 (pow.f64 t 2))) 16) (*.f64 64 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 160 (/.f64 1 (pow.f64 t 2))) 16) (+.f64 (*.f64 320 (/.f64 1 (pow.f64 t 3))) (*.f64 64 (/.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 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 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 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))))
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (*.f64 12 (pow.f64 t 4)))
(+.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 4 (*.f64 t t)))))
(fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (fma.f64 12 (pow.f64 t 4) (*.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 4 (-.f64 (/.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 12 (*.f64 t t)) (+.f64 (/.f64 8 t) -4))
(-.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 (/.f64 12 (*.f64 t t)) (+.f64 (+.f64 (/.f64 8 t) -4) (/.f64 16 (pow.f64 t 3))))
(+.f64 4 (+.f64 (/.f64 -8 t) (+.f64 (/.f64 12 (*.f64 t 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 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t)))
(-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) -4))
(-.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 (/.f64 12 (*.f64 t t)) (+.f64 (+.f64 (/.f64 8 t) -4) (/.f64 16 (pow.f64 t 3))))
(+.f64 4 (+.f64 (/.f64 -8 t) (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -16 (pow.f64 t 3)))))
(*.f64 16 (pow.f64 t 4))
(*.f64 (pow.f64 t 4) 16)
(+.f64 (*.f64 -64 (pow.f64 t 5)) (*.f64 16 (pow.f64 t 4)))
(fma.f64 -64 (pow.f64 t 5) (*.f64 (pow.f64 t 4) 16))
(fma.f64 (pow.f64 t 4) 16 (*.f64 (pow.f64 t 5) -64))
(+.f64 (*.f64 -64 (pow.f64 t 5)) (+.f64 (*.f64 160 (pow.f64 t 6)) (*.f64 16 (pow.f64 t 4))))
(fma.f64 -64 (pow.f64 t 5) (fma.f64 160 (pow.f64 t 6) (*.f64 (pow.f64 t 4) 16)))
(fma.f64 (pow.f64 t 5) -64 (fma.f64 (pow.f64 t 4) 16 (*.f64 160 (pow.f64 t 6))))
(fma.f64 (pow.f64 t 4) 16 (fma.f64 160 (pow.f64 t 6) (*.f64 (pow.f64 t 5) -64)))
(fma.f64 (pow.f64 t 4) 16 (*.f64 (pow.f64 t 5) (+.f64 -64 (*.f64 t 160))))
(+.f64 (*.f64 -64 (pow.f64 t 5)) (+.f64 (*.f64 160 (pow.f64 t 6)) (+.f64 (*.f64 -320 (pow.f64 t 7)) (*.f64 16 (pow.f64 t 4)))))
(fma.f64 -64 (pow.f64 t 5) (fma.f64 160 (pow.f64 t 6) (fma.f64 -320 (pow.f64 t 7) (*.f64 (pow.f64 t 4) 16))))
(fma.f64 (pow.f64 t 5) -64 (fma.f64 160 (pow.f64 t 6) (fma.f64 (pow.f64 t 4) 16 (*.f64 -320 (pow.f64 t 7)))))
(fma.f64 (pow.f64 t 5) -64 (fma.f64 (pow.f64 t 4) 16 (fma.f64 160 (pow.f64 t 6) (*.f64 -320 (pow.f64 t 7)))))
(fma.f64 (pow.f64 t 4) 16 (fma.f64 160 (pow.f64 t 6) (fma.f64 -320 (pow.f64 t 7) (*.f64 (pow.f64 t 5) -64))))
(fma.f64 (pow.f64 t 4) 16 (fma.f64 -320 (pow.f64 t 7) (*.f64 (pow.f64 t 5) (+.f64 -64 (*.f64 t 160)))))
16
(-.f64 16 (*.f64 64 (/.f64 1 t)))
(-.f64 16 (/.f64 64 t))
(+.f64 16 (/.f64 -64 t))
(-.f64 (+.f64 (*.f64 160 (/.f64 1 (pow.f64 t 2))) 16) (*.f64 64 (/.f64 1 t)))
(+.f64 (/.f64 160 (*.f64 t t)) (-.f64 16 (/.f64 64 t)))
(+.f64 (+.f64 16 (/.f64 160 (*.f64 t t))) (/.f64 -64 t))
(+.f64 (-.f64 16 (/.f64 64 t)) (/.f64 160 (*.f64 t t)))
(+.f64 16 (+.f64 (/.f64 160 (*.f64 t t)) (/.f64 -64 t)))
(-.f64 16 (-.f64 (/.f64 64 t) (/.f64 160 (*.f64 t t))))
(-.f64 (+.f64 (*.f64 160 (/.f64 1 (pow.f64 t 2))) 16) (+.f64 (*.f64 320 (/.f64 1 (pow.f64 t 3))) (*.f64 64 (/.f64 1 t))))
(-.f64 (+.f64 16 (/.f64 160 (*.f64 t t))) (+.f64 (/.f64 64 t) (/.f64 320 (pow.f64 t 3))))
(+.f64 16 (-.f64 (/.f64 160 (*.f64 t t)) (+.f64 (/.f64 64 t) (/.f64 320 (pow.f64 t 3)))))
(+.f64 (/.f64 160 (*.f64 t t)) (-.f64 (-.f64 16 (/.f64 64 t)) (/.f64 320 (pow.f64 t 3))))
(+.f64 16 (-.f64 (/.f64 -320 (pow.f64 t 3)) (-.f64 (/.f64 64 t) (/.f64 160 (*.f64 t t)))))
(-.f64 (*.f64 (/.f64 1 (*.f64 t t)) (+.f64 160 (/.f64 -320 t))) (+.f64 (/.f64 64 t) -16))
16
(-.f64 16 (*.f64 64 (/.f64 1 t)))
(-.f64 16 (/.f64 64 t))
(+.f64 16 (/.f64 -64 t))
(-.f64 (+.f64 (*.f64 160 (/.f64 1 (pow.f64 t 2))) 16) (*.f64 64 (/.f64 1 t)))
(+.f64 (/.f64 160 (*.f64 t t)) (-.f64 16 (/.f64 64 t)))
(+.f64 (+.f64 16 (/.f64 160 (*.f64 t t))) (/.f64 -64 t))
(+.f64 (-.f64 16 (/.f64 64 t)) (/.f64 160 (*.f64 t t)))
(+.f64 16 (+.f64 (/.f64 160 (*.f64 t t)) (/.f64 -64 t)))
(-.f64 16 (-.f64 (/.f64 64 t) (/.f64 160 (*.f64 t t))))
(-.f64 (+.f64 (*.f64 160 (/.f64 1 (pow.f64 t 2))) 16) (+.f64 (*.f64 320 (/.f64 1 (pow.f64 t 3))) (*.f64 64 (/.f64 1 t))))
(-.f64 (+.f64 16 (/.f64 160 (*.f64 t t))) (+.f64 (/.f64 64 t) (/.f64 320 (pow.f64 t 3))))
(+.f64 16 (-.f64 (/.f64 160 (*.f64 t t)) (+.f64 (/.f64 64 t) (/.f64 320 (pow.f64 t 3)))))
(+.f64 (/.f64 160 (*.f64 t t)) (-.f64 (-.f64 16 (/.f64 64 t)) (/.f64 320 (pow.f64 t 3))))
(+.f64 16 (-.f64 (/.f64 -320 (pow.f64 t 3)) (-.f64 (/.f64 64 t) (/.f64 160 (*.f64 t t)))))
(-.f64 (*.f64 (/.f64 1 (*.f64 t t)) (+.f64 160 (/.f64 -320 t))) (+.f64 (/.f64 64 t) -16))
(*.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 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 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))))
(fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (*.f64 12 (pow.f64 t 4)))
(+.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 4 (*.f64 t t)))))
(fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (fma.f64 12 (pow.f64 t 4) (*.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 4 (-.f64 (/.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 12 (*.f64 t t)) (+.f64 (/.f64 8 t) -4))
(-.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 (/.f64 12 (*.f64 t t)) (+.f64 (+.f64 (/.f64 8 t) -4) (/.f64 16 (pow.f64 t 3))))
(+.f64 4 (+.f64 (/.f64 -8 t) (+.f64 (/.f64 12 (*.f64 t 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 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t)))
(-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) -4))
(-.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 (/.f64 12 (*.f64 t t)) (+.f64 (+.f64 (/.f64 8 t) -4) (/.f64 16 (pow.f64 t 3))))
(+.f64 4 (+.f64 (/.f64 -8 t) (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -16 (pow.f64 t 3)))))

localize6.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 36 to 21 computations (41.7% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
t
@0
(/.f64 1/27 (*.f64 t t))
1.0ms
t
@inf
(/.f64 1/27 (*.f64 t t))
1.0ms
t
@0
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
1.0ms
t
@0
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
1.0ms
t
@inf
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))

rewrite135.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
499×log-prod_binary64
412×fma-def_binary64
344×pow-prod-down_binary64
312×pow2_binary64
255×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
124532
2360632
Stop Event
node limit
Counts
3 → 177
Calls
Call 1
Inputs
(/.f64 1/27 (*.f64 t t))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/27 (pow.f64 t -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (pow.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/27 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/27) t) (/.f64 (sqrt.f64 1/27) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/27 (/.f64 1 (*.f64 t (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -2) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/27 t) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/729 (pow.f64 t 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/27) t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/19683 (pow.f64 t 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) 27) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 t t) 27) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/729 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/27 (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/19683 (pow.f64 t 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/27 (pow.f64 t -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/27 (pow.f64 t -2) (+.f64 (/.f64 -2/9 t) 5/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 25/36 (-.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))) (/.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 2) (-.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/27 (pow.f64 t -2) (+.f64 (/.f64 -2/9 t) 5/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/27 (pow.f64 t -2) (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (+.f64 (/.f64 -2/9 t) 5/6))) (cbrt.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (+.f64 (/.f64 -2/9 t) 5/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (+.f64 (/.f64 -2/9 t) 5/6)) 2)) (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (+.f64 (/.f64 -2/9 t) 5/6))))))) 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t) -2/9 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/27 t) (/.f64 1 t) (/.f64 -2/9 t))))))

simplify93.0ms (0.8%)

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

Useful iterations: 6 (0.0ms)

IterNodesCost
021348
147348
279348
3142348
4292348
5822348
63584336
76916336
Stop Event
node limit
Counts
213 → 188
Calls
Call 1
Inputs
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(/.f64 1/27 (pow.f64 t 2))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
Outputs
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(-.f64 (*.f64 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)))
(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 (/.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)))
(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 (/.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)))
(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 (/.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)))
(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 (/.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)))
(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 (/.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)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(/.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 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 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 -2/9 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 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 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 -2/9 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 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 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))

localize80.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 4 (*.f64 t t))
0.0b
(*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2)))))
0.0b
(*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))
22.4b
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t))))
Compiler

Compiled 113 to 80 computations (29.2% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite161.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
419×fma-neg_binary64
328×expm1-udef_binary64
328×log1p-udef_binary64
259×log-pow_binary64
201×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01775
139359
2568459
Stop Event
node limit
Counts
3 → 90
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))
(*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2)))))
Outputs
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t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) 3) (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 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 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 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) (fma.f64 4 (*.f64 t t) 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (*.f64 t t)) (*.f64 (*.f64 t 2) (*.f64 (fma.f64 t 2 -2) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (*.f64 t t)) (*.f64 (*.f64 (fma.f64 t 2 -2) (*.f64 t t)) (*.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) 2) (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) 2) (cbrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) (sqrt.f64 (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t))) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t))) (fma.f64 t (*.f64 (*.f64 t 2) (fma.f64 t (fma.f64 t 2 -2) 2)) -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t))) 2)) (/.f64 1 (-.f64 1 (*.f64 (fma.f64 t (fma.f64 t 2 -2) 2) (*.f64 2 (*.f64 t t))))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t 2) (*.f64 (fma.f64 t 2 -2) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t 2) (*.f64 (*.f64 (fma.f64 t 2 -2) (*.f64 t t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 t 2 -2) (*.f64 t t)) (*.f64 t 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 t 3) 8) (pow.f64 (*.f64 (fma.f64 t 2 -2) (*.f64 t t)) 3)) (+.f64 (*.f64 4 (*.f64 t t)) (-.f64 (*.f64 (*.f64 (fma.f64 t 2 -2) (*.f64 t t)) (*.f64 (fma.f64 t 2 -2) (*.f64 t t))) (*.f64 (*.f64 t 2) (*.f64 (fma.f64 t 2 -2) (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4 (*.f64 t t)) (*.f64 (*.f64 (fma.f64 t 2 -2) (*.f64 t t)) (*.f64 (fma.f64 t 2 -2) (*.f64 t t)))) (-.f64 (*.f64 t 2) (*.f64 (fma.f64 t 2 -2) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 (*.f64 t (fma.f64 t 2 -2)) 3)) t) (+.f64 4 (*.f64 (*.f64 t (fma.f64 t 2 -2)) (fma.f64 t (fma.f64 t 2 -2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (pow.f64 (*.f64 t (fma.f64 t 2 -2)) 2)) t) (-.f64 2 (*.f64 t (fma.f64 t 2 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (+.f64 8 (pow.f64 (*.f64 t (fma.f64 t 2 -2)) 3))) (+.f64 4 (*.f64 (*.f64 t (fma.f64 t 2 -2)) (fma.f64 t (fma.f64 t 2 -2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (-.f64 4 (pow.f64 (*.f64 t (fma.f64 t 2 -2)) 2))) (-.f64 2 (*.f64 t (fma.f64 t 2 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 t (fma.f64 t 2 -2) 2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 t 2))) (exp.f64 (*.f64 (fma.f64 t 2 -2) (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (fma.f64 t 2 -2) (*.f64 t t))) (pow.f64 (exp.f64 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (fma.f64 t 2 -2) (*.f64 t t))) (+.f64 1 (expm1.f64 (*.f64 t 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (fma.f64 t (fma.f64 t 2 -2) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 t (fma.f64 t 2 -2) 2) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (fma.f64 t (fma.f64 t 2 -2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 t 2) (*.f64 (fma.f64 t 2 -2) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t 2 (*.f64 (fma.f64 t 2 -2) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 t (*.f64 (fma.f64 t 2 -2) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 t 2)) 2) (cbrt.f64 (*.f64 t 2)) (*.f64 (fma.f64 t 2 -2) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 t 2)) (sqrt.f64 (*.f64 t 2)) (*.f64 (fma.f64 t 2 -2) (*.f64 t t)))))))

simplify86.0ms (0.7%)

Algorithm
egg-herbie
Rules
535×fma-def_binary64
485×distribute-lft-out_binary64
396×distribute-rgt-out_binary64
341×*-commutative_binary64
327×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042477
1113459
2276441
3807401
42426401
54584401
66890401
Stop Event
node limit
Counts
126 → 123
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 5)) (pow.f64 t 2))))
(pow.f64 t 2)
(+.f64 (*.f64 -1 t) (pow.f64 t 2))
(+.f64 (*.f64 -1 t) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -1 t) (+.f64 1/2 (+.f64 (pow.f64 t 2) (*.f64 1/2 (/.f64 1 t)))))
(pow.f64 t 2)
(+.f64 (*.f64 -1 t) (pow.f64 t 2))
(+.f64 (*.f64 -1 t) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -1 t) (+.f64 1/2 (+.f64 (pow.f64 t 2) (*.f64 1/2 (/.f64 1 t)))))
(*.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 4 (pow.f64 t 2))))
(*.f64 4 (pow.f64 t 4))
(+.f64 (*.f64 4 (pow.f64 t 4)) (*.f64 -4 (pow.f64 t 3)))
(+.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 4 (pow.f64 t 2))))
(*.f64 4 (pow.f64 t 4))
(+.f64 (*.f64 4 (pow.f64 t 4)) (*.f64 -4 (pow.f64 t 3)))
(+.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 4 (pow.f64 t 2))))
(*.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 2 (pow.f64 t 3))))
(*.f64 2 (pow.f64 t 3))
(+.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 2 (pow.f64 t 3))))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
(*.f64 2 (pow.f64 t 3))
(+.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 2 (pow.f64 t 3))))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
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 4 (pow.f64 t 5)) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 4 (pow.f64 t 5) (*.f64 t t))))
(+.f64 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) (*.f64 4 (pow.f64 t 5)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 4 (pow.f64 t 5) (fma.f64 t t 1/2)))
(fma.f64 t (*.f64 (fma.f64 t -2 1) t) (fma.f64 4 (pow.f64 t 5) 1/2))
(fma.f64 t (*.f64 t (fma.f64 t -2 1)) (fma.f64 4 (pow.f64 t 5) 1/2))
(pow.f64 t 2)
(*.f64 t t)
(+.f64 (*.f64 -1 t) (pow.f64 t 2))
(fma.f64 -1 t (*.f64 t t))
(-.f64 (*.f64 t t) t)
(+.f64 (*.f64 -1 t) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -1 t (+.f64 1/2 (*.f64 t t)))
(-.f64 (fma.f64 t t 1/2) t)
(+.f64 (*.f64 -1 t) (+.f64 1/2 (+.f64 (pow.f64 t 2) (*.f64 1/2 (/.f64 1 t)))))
(fma.f64 -1 t (+.f64 1/2 (+.f64 (*.f64 t t) (/.f64 1/2 t))))
(-.f64 (+.f64 1/2 (fma.f64 t t (/.f64 1/2 t))) t)
(+.f64 (fma.f64 t t 1/2) (-.f64 (/.f64 1/2 t) t))
(+.f64 1/2 (fma.f64 t t (-.f64 (/.f64 1/2 t) t)))
(+.f64 1/2 (-.f64 (fma.f64 t t (/.f64 1/2 t)) t))
(pow.f64 t 2)
(*.f64 t t)
(+.f64 (*.f64 -1 t) (pow.f64 t 2))
(fma.f64 -1 t (*.f64 t t))
(-.f64 (*.f64 t t) t)
(+.f64 (*.f64 -1 t) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -1 t (+.f64 1/2 (*.f64 t t)))
(-.f64 (fma.f64 t t 1/2) t)
(+.f64 (*.f64 -1 t) (+.f64 1/2 (+.f64 (pow.f64 t 2) (*.f64 1/2 (/.f64 1 t)))))
(fma.f64 -1 t (+.f64 1/2 (+.f64 (*.f64 t t) (/.f64 1/2 t))))
(-.f64 (+.f64 1/2 (fma.f64 t t (/.f64 1/2 t))) t)
(+.f64 (fma.f64 t t 1/2) (-.f64 (/.f64 1/2 t) t))
(+.f64 1/2 (fma.f64 t t (-.f64 (/.f64 1/2 t) t)))
(+.f64 1/2 (-.f64 (fma.f64 t t (/.f64 1/2 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 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 (*.f64 t t) (pow.f64 t 4))))
(fma.f64 t (*.f64 t (fma.f64 t -4 4)) (*.f64 4 (pow.f64 t 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 (*.f64 t t) (pow.f64 t 4))))
(fma.f64 t (*.f64 t (fma.f64 t -4 4)) (*.f64 4 (pow.f64 t 4)))
(*.f64 4 (pow.f64 t 4))
(+.f64 (*.f64 4 (pow.f64 t 4)) (*.f64 -4 (pow.f64 t 3)))
(fma.f64 4 (pow.f64 t 4) (*.f64 (pow.f64 t 3) -4))
(fma.f64 (pow.f64 t 3) -4 (*.f64 4 (pow.f64 t 4)))
(*.f64 (pow.f64 t 3) (+.f64 (*.f64 t 4) -4))
(*.f64 (pow.f64 t 3) (+.f64 -4 (*.f64 t 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 (*.f64 t t) (pow.f64 t 4))))
(fma.f64 t (*.f64 t (fma.f64 t -4 4)) (*.f64 4 (pow.f64 t 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 (*.f64 t t) (pow.f64 t 4))))
(fma.f64 t (*.f64 t (fma.f64 t -4 4)) (*.f64 4 (pow.f64 t 4)))
(*.f64 4 (pow.f64 t 4))
(+.f64 (*.f64 4 (pow.f64 t 4)) (*.f64 -4 (pow.f64 t 3)))
(fma.f64 4 (pow.f64 t 4) (*.f64 (pow.f64 t 3) -4))
(fma.f64 (pow.f64 t 3) -4 (*.f64 4 (pow.f64 t 4)))
(*.f64 (pow.f64 t 3) (+.f64 (*.f64 t 4) -4))
(*.f64 (pow.f64 t 3) (+.f64 -4 (*.f64 t 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 (*.f64 t t) (pow.f64 t 4))))
(fma.f64 t (*.f64 t (fma.f64 t -4 4)) (*.f64 4 (pow.f64 t 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 (*.f64 t t) (pow.f64 t 4))))
(fma.f64 t (*.f64 t (fma.f64 t -4 4)) (*.f64 4 (pow.f64 t 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 (*.f64 t t) -2))
(*.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 t 2 (fma.f64 2 (pow.f64 t 3) (*.f64 (*.f64 t t) -2)))
(fma.f64 t (*.f64 t -2) (*.f64 2 (+.f64 t (pow.f64 t 3))))
(*.f64 t (+.f64 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 t 2 (fma.f64 2 (pow.f64 t 3) (*.f64 (*.f64 t t) -2)))
(fma.f64 t (*.f64 t -2) (*.f64 2 (+.f64 t (pow.f64 t 3))))
(*.f64 t (+.f64 2 (*.f64 t (fma.f64 t 2 -2))))
(*.f64 2 (pow.f64 t 3))
(+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))
(fma.f64 -2 (*.f64 t t) (*.f64 2 (pow.f64 t 3)))
(fma.f64 2 (pow.f64 t 3) (*.f64 (*.f64 t t) -2))
(*.f64 (*.f64 t t) (+.f64 -2 (*.f64 t 2)))
(*.f64 (*.f64 t 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 t 2 (fma.f64 2 (pow.f64 t 3) (*.f64 (*.f64 t t) -2)))
(fma.f64 t (*.f64 t -2) (*.f64 2 (+.f64 t (pow.f64 t 3))))
(*.f64 t (+.f64 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 t 2 (fma.f64 2 (pow.f64 t 3) (*.f64 (*.f64 t t) -2)))
(fma.f64 t (*.f64 t -2) (*.f64 2 (+.f64 t (pow.f64 t 3))))
(*.f64 t (+.f64 2 (*.f64 t (fma.f64 t 2 -2))))
(*.f64 2 (pow.f64 t 3))
(+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3)))
(fma.f64 -2 (*.f64 t t) (*.f64 2 (pow.f64 t 3)))
(fma.f64 2 (pow.f64 t 3) (*.f64 (*.f64 t t) -2))
(*.f64 (*.f64 t t) (+.f64 -2 (*.f64 t 2)))
(*.f64 (*.f64 t 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 t 2 (fma.f64 2 (pow.f64 t 3) (*.f64 (*.f64 t t) -2)))
(fma.f64 t (*.f64 t -2) (*.f64 2 (+.f64 t (pow.f64 t 3))))
(*.f64 t (+.f64 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 t 2 (fma.f64 2 (pow.f64 t 3) (*.f64 (*.f64 t t) -2)))
(fma.f64 t (*.f64 t -2) (*.f64 2 (+.f64 t (pow.f64 t 3))))
(*.f64 t (+.f64 2 (*.f64 t (fma.f64 t 2 -2))))

localize199.0ms (1.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
0.5b
(pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)
0.8b
(-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)
17.6b
(/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1))
Compiler

Compiled 144 to 104 computations (27.8% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite99.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
582×fma-def_binary64
431×fma-neg_binary64
313×log1p-udef_binary64
311×expm1-udef_binary64
213×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01846
142434
2647230
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1)) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)) (/.f64 1 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) (*.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) (/.f64 1 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (/.f64 1 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) 4)) (*.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1)) (/.f64 1 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) (sqrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))) (/.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) (sqrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1)) (/.f64 1 (neg.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) 4)) 1) (/.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1)) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) 1) (/.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)) 2)) (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) 4)) (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) (pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)) 2)) (/.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))) (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (sqrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) 4)) (sqrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))) (/.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1)) (sqrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (+.f64 8 (pow.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2)) 3))) (fma.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2)) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (-.f64 4 (pow.f64 (*.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2)) 2))) (-.f64 2 (*.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (/.f64 (*.f64 2 t) (+.f64 1 t))) (sqrt.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (neg.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t 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2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 1) (fma.f64 4 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 2))) 1))))))

simplify68.0ms (0.6%)

Algorithm
egg-herbie
Rules
634×fma-neg_binary64
551×sub-neg_binary64
530×times-frac_binary64
426×fma-def_binary64
263×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0112748
1366357
21369233
35518227
Stop Event
node limit
Counts
48 → 55
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 1/6 (pow.f64 (sqrt.f64 5) 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2)))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2))))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 3))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (+.f64 (*.f64 4/3 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2)))) (*.f64 1/3 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))) (*.f64 -4/9 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))))
(*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))
(+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 -1 (/.f64 (-.f64 8/3 (+.f64 (*.f64 2 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2))) (+.f64 (*.f64 4/3 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (*.f64 1/3 (pow.f64 (sqrt.f64 5) 2))))) (*.f64 4/9 (pow.f64 (sqrt.f64 5) 2))))) (pow.f64 t 3))) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 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 (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 (fma.f64 t t (pow.f64 t 4)) (fma.f64 -2 (pow.f64 t 3) 1/2))
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t (pow.f64 t 4))))
(*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))
5/6
(+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))
(fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2)))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 1/6 (+.f64 (/.f64 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (*.f64 t t)) (pow.f64 (sqrt.f64 5) 2)))) (fma.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 t t)) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 t t)))))
(+.f64 (fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 t t)) 5/6) (-.f64 (/.f64 -2/9 t) (+.f64 (/.f64 (/.f64 8/27 t) t) (/.f64 5/3 (*.f64 t t)))))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 -5/3 (*.f64 t t)) (/.f64 -8/27 (*.f64 t t)))))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 2 t) t) (fma.f64 (/.f64 2/9 t) (-.f64 -1 (/.f64 4/3 t)) (/.f64 -5/3 (*.f64 t t)))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2))))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 3))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (+.f64 (*.f64 4/3 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2)))) (*.f64 1/3 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))) (*.f64 -4/9 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))))
(-.f64 (fma.f64 1/6 (/.f64 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (*.f64 t t)) (fma.f64 1/6 (/.f64 (fma.f64 -1 (+.f64 16 (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (*.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3)) (fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (fma.f64 -2 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (pow.f64 t 3)) (fma.f64 -4/3 (/.f64 (-.f64 (*.f64 1/6 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)))) (fma.f64 4/3 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 (pow.f64 (sqrt.f64 5) 2) 1/3))) (pow.f64 t 3)) (fma.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 t t)) (fma.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 t t)) (*.f64 -4/9 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))))
(fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 t t)) (-.f64 (+.f64 5/6 (fma.f64 1/6 (/.f64 (-.f64 (/.f64 -4 (/.f64 5 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)))) (fma.f64 -4 (-.f64 12/5 (/.f64 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2) 5)) 16)) (pow.f64 t 3)) (/.f64 -2/9 t))) (+.f64 (fma.f64 -4/3 (/.f64 (fma.f64 1/6 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) -53/27) (pow.f64 t 3)) (/.f64 (/.f64 8/27 t) t)) (+.f64 (+.f64 (/.f64 5/3 (*.f64 t t)) (/.f64 -20/9 (pow.f64 t 3))) (/.f64 -4/9 (pow.f64 t 3))))))
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -8/3 (pow.f64 t 3)) (/.f64 -2/9 t)) (-.f64 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))) (+.f64 (/.f64 (/.f64 8/27 t) t) (+.f64 (/.f64 5/3 (*.f64 t t)) (+.f64 (/.f64 -20/9 (pow.f64 t 3)) (/.f64 -4/9 (pow.f64 t 3))))))))
(+.f64 (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 2 t) t)) (+.f64 (/.f64 -8/3 (pow.f64 t 3)) (-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 8/27 (*.f64 t t)) (+.f64 (/.f64 5/3 (*.f64 t t)) (+.f64 (/.f64 -20/9 (pow.f64 t 3)) (/.f64 -4/9 (pow.f64 t 3))))))))
(*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))
5/6
(+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))
(fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2)))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (*.f64 1/6 (+.f64 (/.f64 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (*.f64 t t)) (pow.f64 (sqrt.f64 5) 2)))) (fma.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 t t)) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 t t)))))
(+.f64 (fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (*.f64 t t)) 5/6) (-.f64 (/.f64 -2/9 t) (+.f64 (/.f64 (/.f64 8/27 t) t) (/.f64 5/3 (*.f64 t t)))))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 -5/3 (*.f64 t t)) (/.f64 -8/27 (*.f64 t t)))))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 2 t) t) (fma.f64 (/.f64 2/9 t) (-.f64 -1 (/.f64 4/3 t)) (/.f64 -5/3 (*.f64 t t)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (*.f64 -1 (/.f64 (-.f64 8/3 (+.f64 (*.f64 2 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (*.f64 4/3 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2))) (+.f64 (*.f64 4/3 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (*.f64 1/3 (pow.f64 (sqrt.f64 5) 2))))) (*.f64 4/9 (pow.f64 (sqrt.f64 5) 2))))) (pow.f64 t 3))) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 12 (*.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 4/3 (*.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2)))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (fma.f64 -1 (/.f64 (-.f64 8/3 (fma.f64 2 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (fma.f64 4/3 (-.f64 (*.f64 1/6 (-.f64 (+.f64 12 (/.f64 16 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2))) (fma.f64 4/3 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 (pow.f64 (sqrt.f64 5) 2) 1/3))) (*.f64 (pow.f64 (sqrt.f64 5) 2) 4/9)))) (pow.f64 t 3)) (*.f64 1/6 (+.f64 (/.f64 (-.f64 (+.f64 12 (/.f64 16 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (*.f64 t t)) (pow.f64 (sqrt.f64 5) 2))))) (fma.f64 4/3 (/.f64 (+.f64 4/3 (*.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (*.f64 t t)) (*.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 t t)))))
(+.f64 (-.f64 (fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (*.f64 t t)) 5/6) (/.f64 (-.f64 0 (*.f64 4/3 (fma.f64 1/6 (-.f64 76/5 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) -53/27))) (pow.f64 t 3))) (-.f64 (/.f64 -2/9 t) (+.f64 (/.f64 (/.f64 8/27 t) t) (/.f64 5/3 (*.f64 t t)))))
(+.f64 (/.f64 -2/9 t) (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (+.f64 (/.f64 -5/3 (*.f64 t t)) (/.f64 -8/27 (*.f64 t t))))))
(+.f64 (+.f64 5/6 (+.f64 (/.f64 (/.f64 2 t) t) (/.f64 4/81 (pow.f64 t 3)))) (fma.f64 (/.f64 2/9 t) (-.f64 -1 (/.f64 4/3 t)) (/.f64 -5/3 (*.f64 t t))))

eval1.5s (12.5%)

Compiler

Compiled 31347 to 24811 computations (20.9% saved)

prune194.0ms (1.6%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New9172919
Fresh145
Picked011
Done167
Total91913932
Error
0b
Counts
932 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
61.8b
(/.f64 1 t)
30.5b
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
30.1b
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
30.1b
(+.f64 5/6 (/.f64 -2/9 t))
18.4b
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
32.8b
(fma.f64 t t 1/2)
32.8b
(/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
18.8b
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
30.1b
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
25.3b
5/6
33.0b
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t))))
33.1b
(/.f64 (+.f64 1 (-.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 t 4) 16)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
27.1b
1/2
Compiler

Compiled 209 to 163 computations (22% saved)

regimes135.0ms (1.1%)

Counts
25 → 1
Calls
Call 1
Inputs
5/6
1/2
(/.f64 1 t)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (*.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 2 (/.f64 -2 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)))))
(fma.f64 t t 1/2)
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (-.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 t 4) 16)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.f64 (+.f64 1 (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
Outputs
(/.f64 (+.f64 1 (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
Calls

7 calls:

25.0ms
t
21.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))
20.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))
13.0ms
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
13.0ms
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
Results
ErrorSegmentsBranch
0.0b1t
0.0b1(/.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)))))
0.0b1(/.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)))))
0.0b1(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.0b1(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.0b1(/.f64 (*.f64 2 t) (+.f64 1 t))
0.0b1(/.f64 (*.f64 2 t) (+.f64 1 t))
Compiler

Compiled 663 to 505 computations (23.8% saved)

regimes88.0ms (0.7%)

Counts
24 → 1
Calls
Call 1
Inputs
5/6
1/2
(/.f64 1 t)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (*.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 2 (/.f64 -2 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)))))
(fma.f64 t t 1/2)
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (-.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 t 4) 16)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) 1)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
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)))))
Calls

4 calls:

23.0ms
t
20.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))
12.0ms
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
7.0ms
(/.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)))))
Results
ErrorSegmentsBranch
0.0b1t
0.0b1(/.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)))))
0.0b1(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.0b1(/.f64 (*.f64 2 t) (+.f64 1 t))
Compiler

Compiled 572 to 434 computations (24.1% saved)

regimes64.0ms (0.5%)

Counts
17 → 3
Calls
Call 1
Inputs
5/6
1/2
(/.f64 1 t)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (*.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 2 (/.f64 -2 t)))))
Outputs
5/6
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
5/6
Calls

1 calls:

51.0ms
t
Results
ErrorSegmentsBranch
0.0b3t
Compiler

Compiled 290 to 211 computations (27.2% saved)

bsearch144.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
73.0ms
228096.3490592989
5122560733733043000.0
71.0ms
-4.295573961651241e+169
-1.3072884989743817e+150
Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes54.0ms (0.5%)

Counts
14 → 3
Calls
Call 1
Inputs
5/6
1/2
(/.f64 1 t)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
Outputs
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
Calls

1 calls:

45.0ms
t
Results
ErrorSegmentsBranch
0.4b3t
Compiler

Compiled 193 to 140 computations (27.5% saved)

bsearch137.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
67.0ms
0.021398597363671983
1.370840529417722
70.0ms
-1606770371.0761223
-0.0001991873364480126
Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes47.0ms (0.4%)

Counts
11 → 3
Calls
Call 1
Inputs
5/6
1/2
(/.f64 1 t)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t))))
Outputs
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
Calls

1 calls:

41.0ms
t
Results
ErrorSegmentsBranch
0.4b3t
Compiler

Compiled 114 to 82 computations (28.1% saved)

bsearch130.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
59.0ms
0.021398597363671983
1.370840529417722
71.0ms
-1606770371.0761223
-0.0001991873364480126
Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes83.0ms (0.7%)

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

1 calls:

81.0ms
t
Results
ErrorSegmentsBranch
0.5b3t
Compiler

Compiled 55 to 41 computations (25.5% saved)

bsearch136.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
0.021398597363671983
1.370840529417722
102.0ms
-1606770371.0761223
-0.0001991873364480126
Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes44.0ms (0.4%)

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

1 calls:

42.0ms
t
Results
ErrorSegmentsBranch
0.6b3t
Compiler

Compiled 40 to 32 computations (20% saved)

bsearch168.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
0.021398597363671983
1.370840529417722
134.0ms
-1606770371.0761223
-0.0001991873364480126
Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes16.0ms (0.1%)

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

1 calls:

14.0ms
t
Results
ErrorSegmentsBranch
0.7b3t
Compiler

Compiled 29 to 24 computations (17.2% saved)

bsearch70.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
34.0ms
0.021398597363671983
1.370840529417722
36.0ms
-1606770371.0761223
-0.0001991873364480126
Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes13.0ms (0.1%)

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

12.0ms
t
Results
ErrorSegmentsBranch
0.8b3t
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch72.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
36.0ms
0.021398597363671983
1.370840529417722
35.0ms
-1606770371.0761223
-0.0001991873364480126
Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes10.0ms (0.1%)

Accuracy

Total -60.7b remaining (-5787.1%)

Threshold costs -60.7b (-5787.1%)

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

1 calls:

9.0ms
t
Results
ErrorSegmentsBranch
1.0b3t
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch70.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
35.0ms
0.021398597363671983
1.370840529417722
35.0ms
-1606770371.0761223
-0.0001991873364480126
Compiler

Compiled 40 to 31 computations (22.5% saved)

simplify15.0ms (0.1%)

Algorithm
egg-herbie
Rules
17×+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082472
1114472
2115472
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (+.f64 2 (*.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)))))
(if (<=.f64 t -42955739616512409141330680674994838879646978870252128676601559657680691298120064406425764384782997241753705400330502631951029508116170513113445126228399907999650473312256) 5/6 (if (<=.f64 t 7837330876373513/34359738368) (/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) 5/6))
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) (/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) 1/2 (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -6901026195953729536/4294967296) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 394734449104012992/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -6901026195953729536/4294967296) 5/6 (if (<=.f64 t 394734449104012992/18446744073709551616) 1/2 5/6))
5/6
Outputs
(/.f64 (+.f64 1 (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (log.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))) (+.f64 2 (*.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)))))
(if (<=.f64 t -42955739616512409141330680674994838879646978870252128676601559657680691298120064406425764384782997241753705400330502631951029508116170513113445126228399907999650473312256) 5/6 (if (<=.f64 t 7837330876373513/34359738368) (/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) 5/6))
(if (<=.f64 t -42955739616512409141330680674994838879646978870252128676601559657680691298120064406425764384782997241753705400330502631951029508116170513113445126228399907999650473312256) 5/6 (if (<=.f64 t 7837330876373513/34359738368) (/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t)))) 5/6))
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) (/.f64 (+.f64 1 (*.f64 (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 t 2))))) (*.f64 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -421205212155379/262144) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 6167725767250203/288230376151711744) (/.f64 (+.f64 1 (*.f64 (*.f64 2 t) (*.f64 t (+.f64 2 (*.f64 t (+.f64 -2 (*.f64 2 t))))))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))))
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -421205212155379/262144) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 6167725767250203/288230376151711744) (/.f64 (+.f64 1 (/.f64 (*.f64 t (*.f64 t 4)) (+.f64 1 t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))))
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -421205212155379/262144) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 6167725767250203/288230376151711744) (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))))
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) 1/2 (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -421205212155379/262144) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 6167725767250203/288230376151711744) 1/2 (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))))
(if (<=.f64 t -6901026195953729536/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 394734449104012992/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -421205212155379/262144) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 6167725767250203/288230376151711744) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -6901026195953729536/4294967296) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 394734449104012992/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -421205212155379/262144) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6167725767250203/288230376151711744) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -6901026195953729536/4294967296) 5/6 (if (<=.f64 t 394734449104012992/18446744073709551616) 1/2 5/6))
(if (<=.f64 t -421205212155379/262144) 5/6 (if (<=.f64 t 6167725767250203/288230376151711744) 1/2 5/6))
5/6
Compiler

Compiled 334 to 256 computations (23.4% saved)

soundness0.0ms (0%)

end150.0ms (1.3%)

Compiler

Compiled 324 to 242 computations (25.3% saved)

Profiling

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