Details

Time bar (total: 10.6s)

analyze8.0ms (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)

sample1.6s (15%)

Results
1.6s8256×body256valid

preprocess161.0ms (1.5%)

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)

simplify95.0ms (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)

localize139.0ms (1.3%)

Local error

Found 4 expressions with local error:

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

Compiled 101 to 76 computations (24.8% saved)

series14.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
6.0ms
t
@inf
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
1.0ms
t
@0
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
1.0ms
t
@-inf
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
1.0ms
t
@inf
(/.f64 (*.f64 2 t) (+.f64 1 t))
1.0ms
t
@inf
(+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))

rewrite198.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
972×prod-diff_binary64
559×log-prod_binary64
373×fma-def_binary64
216×log-div_binary64
198×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01055
123255
2346055
Stop Event
node limit
Counts
4 → 207
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
(/.f64 (*.f64 2 t) (+.f64 1 t))
(+.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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))))))) (#(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 t t) (*.f64 (*.f64 1/2 (/.f64 (+.f64 t 1) t)) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 t t) (*.f64 (+.f64 t 1) (*.f64 1/2 (/.f64 (+.f64 t 1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 t t) (/.f64 (pow.f64 (+.f64 t 1) 2) (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 t 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 t 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 t t)) (*.f64 (/.f64 (+.f64 t 1) t) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t -2) (+.f64 t 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 t 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)) (cbrt.f64 (pow.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 t t)) (log1p.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 t t)) (log1p.f64 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 t 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)) (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 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(+.f64 t 1))) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 t t) (*.f64 (exp.f64 (neg.f64 (log1p.f64 t))) (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) (*.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (*.f64 t t)) (*.f64 (exp.f64 (neg.f64 (log1p.f64 t))) (exp.f64 (neg.f64 (log1p.f64 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (*.f64 t t)) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 t))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (*.f64 t t)) (/.f64 1 (pow.f64 (+.f64 t 1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 t 1)))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 t (+.f64 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simplify104.0ms (1%)

Algorithm
egg-herbie
Rules
765×times-frac_binary64
725×fma-neg_binary64
455×cancel-sign-sub-inv_binary64
395×distribute-rgt-out_binary64
378×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
072624
1219620
2579605
31715598
44376583
Stop Event
node limit
Counts
255 → 264
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 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))))
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)))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
Outputs
(*.f64 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 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4))))
(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 -8 (*.f64 t 12)))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 5) (fma.f64 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4)))))
(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 -8 (*.f64 t 12))))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
(-.f64 (+.f64 4 (/.f64 -8 t)) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 (/.f64 16 t) 12)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
(-.f64 (+.f64 4 (/.f64 -8 t)) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 (/.f64 16 t) 12)))
(*.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 2 (*.f64 t (+.f64 (*.f64 t 2) -2))))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (+.f64 (*.f64 -2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 3)))))
(fma.f64 2 t (fma.f64 -2 (*.f64 t t) (fma.f64 -2 (pow.f64 t 4) (*.f64 2 (pow.f64 t 3)))))
(fma.f64 t 2 (fma.f64 (*.f64 t t) -2 (fma.f64 2 (pow.f64 t 3) (*.f64 (pow.f64 t 4) -2))))
(fma.f64 -2 (fma.f64 t t (pow.f64 t 4)) (*.f64 2 (+.f64 t (pow.f64 t 3))))
(*.f64 (+.f64 (*.f64 t t) 1) (*.f64 t (+.f64 2 (*.f64 t -2))))
(*.f64 (+.f64 t (pow.f64 t 3)) (+.f64 2 (*.f64 t -2)))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (/.f64 2 t))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.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 (+.f64 2 (/.f64 2 (*.f64 t t))) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3)))))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (+.f64 2 (/.f64 -2 t)) (/.f64 -2 (pow.f64 t 3))))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3)))))
(*.f64 (+.f64 1 (/.f64 1 (*.f64 t t))) (+.f64 2 (/.f64 -2 t)))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (/.f64 2 t))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.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 (+.f64 2 (/.f64 2 (*.f64 t t))) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3)))))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (+.f64 2 (/.f64 -2 t)) (/.f64 -2 (pow.f64 t 3))))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3)))))
(*.f64 (+.f64 1 (/.f64 1 (*.f64 t t))) (+.f64 2 (/.f64 -2 t)))
1
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 (*.f64 4 (*.f64 t t)) 1)
(fma.f64 4 (*.f64 t t) 1)
(fma.f64 t (*.f64 4 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))
(+.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 1 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t)))))
(+.f64 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))) (fma.f64 12 (pow.f64 t 4) 1))
(+.f64 1 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12))))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (+.f64 5 (/.f64 12 (*.f64 t t))) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 5 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (+.f64 5 (/.f64 12 (*.f64 t t))) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 5 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(+.f64 2 (*.f64 4 (*.f64 t t)))
(fma.f64 4 (*.f64 t t) 2)
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t))))
(+.f64 2 (fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3))))
(fma.f64 4 (*.f64 t t) (fma.f64 -8 (pow.f64 t 3) 2))
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4)))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t)))))
(+.f64 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))) (fma.f64 12 (pow.f64 t 4) 2))
(+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 -8 (*.f64 t 12))))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (+.f64 6 (/.f64 -8 t)) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 12 (/.f64 16 t))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (+.f64 6 (/.f64 -8 t)) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 12 (/.f64 16 t))))

eval662.0ms (6.3%)

Compiler

Compiled 19931 to 15222 computations (23.6% saved)

prune105.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New5189527
Fresh000
Picked011
Done000
Total51810528
Error
0b
Counts
528 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
29.0b
(/.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 t 2))))
28.8b
(/.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))))
25.2b
(/.f64 1 (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
12.4b
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
34.2b
(/.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)))))
33.3b
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 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)))))
29.1b
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) 6)
33.6b
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))
12.8b
(/.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)))))
Compiler

Compiled 544 to 424 computations (22.1% saved)

localize66.0ms (0.6%)

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)))
11.8b
(/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1))
Compiler

Compiled 131 to 89 computations (32.1% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite58.0ms (0.6%)

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
0820
117420
2235920
Stop Event
node limit
Counts
2 → 58
Calls
Call 1
Inputs
(/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1))
(*.f64 4 (*.f64 t t))
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)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (*.f64 t t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (*.f64 t t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (*.f64 t t))))))))

simplify51.0ms (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
031234
190234
2224230
3639223
42017223
54493217
Stop Event
node limit
Counts
82 → 73
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)))))
(*.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
(*.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))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 68 to 51 computations (25% saved)

series27.0ms (0.3%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
25.0ms
t
@0
(/.f64 1 (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
1.0ms
t
@-inf
(/.f64 1 (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
0.0ms
t
@inf
(/.f64 1 (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

rewrite73.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
557×log-prod_binary64
344×pow-prod-down_binary64
284×pow2_binary64
229×fma-def_binary64
210×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
123119
2336019
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 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 0 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))) (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -1/2) (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 6))) (fma.f64 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)) (-.f64 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4))) (-.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))) -2) (/.f64 1 (cbrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))) 1))))))

simplify61.0ms (0.6%)

Algorithm
egg-herbie
Rules
562×associate-/r*_binary64
410×fma-def_binary64
346×times-frac_binary64
218×distribute-rgt-neg-in_binary64
210×div-sub_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034147
192140
2235139
3754135
42925135
57687135
Stop Event
node limit
Counts
45 → 47
Calls
Call 1
Inputs
1/2
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2)
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (*.f64 2 (pow.f64 t 3))))
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 -1 (pow.f64 t 4)))))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
Outputs
1/2
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2)
(fma.f64 -1 (*.f64 t t) 1/2)
(-.f64 1/2 (*.f64 t t))
(fma.f64 t (neg.f64 t) 1/2)
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (*.f64 2 (pow.f64 t 3))))
(+.f64 (fma.f64 -1 (*.f64 t t) 1/2) (*.f64 2 (pow.f64 t 3)))
(-.f64 (fma.f64 2 (pow.f64 t 3) 1/2) (*.f64 t t))
(fma.f64 (*.f64 t t) (fma.f64 t 2 -1) 1/2)
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 -1 (pow.f64 t 4)))))
(+.f64 (fma.f64 -1 (*.f64 t t) 1/2) (fma.f64 2 (pow.f64 t 3) (neg.f64 (pow.f64 t 4))))
(-.f64 (-.f64 (fma.f64 2 (pow.f64 t 3) 1/2) (pow.f64 t 4)) (*.f64 t t))
(+.f64 1/2 (-.f64 (*.f64 (pow.f64 t 3) (-.f64 2 t)) (*.f64 t t)))
(fma.f64 (pow.f64 t 3) (-.f64 2 t) (-.f64 1/2 (*.f64 t t)))
(-.f64 (*.f64 (pow.f64 t 3) (-.f64 2 t)) (fma.f64 t t -1/2))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.f64 2/9 t))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 1/6 (-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t))))
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 -1/27 (*.f64 t t))))
(+.f64 (/.f64 2/9 t) (-.f64 1/6 (/.f64 1/27 (*.f64 t t))))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 1/6 (-.f64 (/.f64 2/9 t) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))))
(-.f64 (+.f64 1/6 (/.f64 2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (+.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -4/81 (pow.f64 t 3)))))
(+.f64 1/6 (+.f64 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))) (/.f64 -4/81 (pow.f64 t 3))))
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (*.f64 (/.f64 (/.f64 1 t) t) (-.f64 (/.f64 -4/81 t) 1/27))))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.f64 2/9 t))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 1/6 (-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t))))
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 -1/27 (*.f64 t t))))
(+.f64 (/.f64 2/9 t) (-.f64 1/6 (/.f64 1/27 (*.f64 t t))))
(-.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 1/6 (-.f64 (/.f64 2/9 t) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))))
(-.f64 (+.f64 1/6 (/.f64 2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (+.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -4/81 (pow.f64 t 3)))))
(+.f64 1/6 (+.f64 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))) (/.f64 -4/81 (pow.f64 t 3))))
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (*.f64 (/.f64 (/.f64 1 t) t) (-.f64 (/.f64 -4/81 t) 1/27))))

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
0.0b
(/.f64 (*.f64 2 t) (+.f64 1 t))
0.0b
(*.f64 (/.f64 (*.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 6 (/.f64 -8 t)))
Compiler

Compiled 82 to 62 computations (24.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
t
@0
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))
0.0ms
t
@inf
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))
0.0ms
t
@-inf
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))

rewrite71.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
765×log-prod_binary64
369×fma-def_binary64
319×log-div_binary64
276×expm1-udef_binary64
276×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01425
132725
2473125
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (/.f64 1 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))) 2) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2))) (/.f64 1 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))) (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (*.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (/.f64 1 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) -1) (/.f64 1 (+.f64 (neg.f64 (/.f64 -8 t)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 6 (/.f64 -8 t))) (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2))) (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 1) (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t))) 2)) (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (cbrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) 2)) (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t))) 2)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t))) 2)) (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (cbrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 6 (/.f64 -8 t)))) (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) 2)) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2))) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 216 (pow.f64 (/.f64 -8 t) 3))) (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 6) 36))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (-.f64 36 (/.f64 64 (*.f64 t t)))) (-.f64 6 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 6 (/.f64 -8 t)) (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 (neg.f64 (/.f64 -8 t)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) 3) (pow.f64 (+.f64 6 (/.f64 -8 t)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (log.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (log.f64 (+.f64 6 (/.f64 -8 t)))) 1))))))

simplify52.0ms (0.5%)

Algorithm
egg-herbie
Rules
805×unswap-sqr_binary64
750×distribute-neg-frac_binary64
534×associate-/r*_binary64
363×fma-def_binary64
334×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036156
195156
2234153
3654145
42186145
56013145
Stop Event
node limit
Counts
50 → 52
Calls
Call 1
Inputs
(*.f64 -1/8 t)
(+.f64 (*.f64 -3/32 (pow.f64 t 2)) (*.f64 -1/8 t))
(+.f64 (*.f64 -3/32 (pow.f64 t 2)) (+.f64 (*.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t)))
(+.f64 (*.f64 293/512 (pow.f64 t 4)) (+.f64 (*.f64 -3/32 (pow.f64 t 2)) (+.f64 (*.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 32/81 (/.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 46/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
Outputs
(*.f64 -1/8 t)
(+.f64 (*.f64 -3/32 (pow.f64 t 2)) (*.f64 -1/8 t))
(fma.f64 -3/32 (*.f64 t t) (*.f64 -1/8 t))
(fma.f64 -1/8 t (*.f64 -3/32 (*.f64 t t)))
(*.f64 t (+.f64 -1/8 (*.f64 t -3/32)))
(*.f64 t (fma.f64 t -3/32 -1/8))
(+.f64 (*.f64 -3/32 (pow.f64 t 2)) (+.f64 (*.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t)))
(fma.f64 -3/32 (*.f64 t t) (fma.f64 -73/128 (pow.f64 t 3) (*.f64 -1/8 t)))
(fma.f64 -3/32 (*.f64 t t) (fma.f64 -1/8 t (*.f64 -73/128 (pow.f64 t 3))))
(fma.f64 -73/128 (pow.f64 t 3) (*.f64 t (+.f64 -1/8 (*.f64 t -3/32))))
(*.f64 t (+.f64 -1/8 (*.f64 t (fma.f64 t -73/128 -3/32))))
(+.f64 (*.f64 293/512 (pow.f64 t 4)) (+.f64 (*.f64 -3/32 (pow.f64 t 2)) (+.f64 (*.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t))))
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -3/32 (*.f64 t t) (fma.f64 -73/128 (pow.f64 t 3) (*.f64 -1/8 t))))
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -3/32 (*.f64 t t) (fma.f64 -1/8 t (*.f64 -73/128 (pow.f64 t 3)))))
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -73/128 (pow.f64 t 3) (*.f64 t (+.f64 -1/8 (*.f64 t -3/32)))))
(fma.f64 293/512 (pow.f64 t 4) (*.f64 t (+.f64 -1/8 (*.f64 t (fma.f64 t -73/128 -3/32)))))
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 46/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 46/27 (*.f64 t t)))
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (/.f64 -32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(-.f64 (/.f64 -32/81 (pow.f64 t 3)) (+.f64 (-.f64 -5/6 (/.f64 -2/9 t)) (/.f64 -46/27 (*.f64 t t))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 46/27 (*.f64 t t)))
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (/.f64 -32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(-.f64 (/.f64 -32/81 (pow.f64 t 3)) (+.f64 (-.f64 -5/6 (/.f64 -2/9 t)) (/.f64 -46/27 (*.f64 t t))))

localize40.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (*.f64 2 t) (+.f64 1 t))
0.0b
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.2b
(/.f64 12 (*.f64 t t))
0.2b
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))
Compiler

Compiled 108 to 76 computations (29.6% 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 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))
1.0ms
t
@0
(/.f64 12 (*.f64 t t))
0.0ms
t
@inf
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))
0.0ms
t
@inf
(/.f64 12 (*.f64 t t))
0.0ms
t
@-inf
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))

rewrite82.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
669×fma-def_binary64
379×fma-neg_binary64
362×expm1-udef_binary64
362×log1p-udef_binary64
216×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01841
142839
2641039
Stop Event
node limit
Counts
2 → 58
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))
(/.f64 12 (*.f64 t t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (/.f64 1 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))) 2) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) (/.f64 1 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))) (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (*.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (/.f64 1 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) (/.f64 1 (neg.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))) (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 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 1 t)))) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 1) (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))) 2)) (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (cbrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))) 2)) (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (cbrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))) (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (sqrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) 2) (sqrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) (sqrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (fma.f64 1728 (pow.f64 (pow.f64 t -2) 3) (pow.f64 (+.f64 6 (/.f64 -8 t)) 3))) (fma.f64 (+.f64 6 (/.f64 -8 t)) (-.f64 (+.f64 6 (/.f64 -8 t)) (/.f64 (/.f64 12 t) t)) (/.f64 144 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (-.f64 (/.f64 144 (pow.f64 t 4)) (pow.f64 (+.f64 6 (/.f64 -8 t)) 2))) (-.f64 (fma.f64 12 (pow.f64 t -2) -6) (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)) (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (neg.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 3) (pow.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (log.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (log.f64 (+.f64 (/.f64 -8 t) (fma.f64 12 (pow.f64 t -2) 6)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 12 t) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 12 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 12 (pow.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 12 t) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 12 t) t)) (cbrt.f64 (/.f64 144 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 144 (pow.f64 t 4))) (cbrt.f64 (/.f64 (/.f64 12 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 12) t) (/.f64 (sqrt.f64 12) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -12 (/.f64 1 (*.f64 t (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -2) 12)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 12 t) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 12 t) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 12 t) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 12) t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1728 (pow.f64 (pow.f64 t -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (/.f64 12 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 144 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 12 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 12 t) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1728 (pow.f64 (pow.f64 t -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 12 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 12 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 12 t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 12 t) t)) 1))))))

simplify59.0ms (0.6%)

Algorithm
egg-herbie
Rules
786×distribute-neg-frac_binary64
588×associate-/r*_binary64
378×fma-def_binary64
334×times-frac_binary64
257×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040252
1101252
2247249
3708243
42261243
56139243
Stop Event
node limit
Counts
82 → 75
Calls
Call 1
Inputs
(*.f64 1/12 (pow.f64 t 2))
(+.f64 (*.f64 1/18 (pow.f64 t 3)) (*.f64 1/12 (pow.f64 t 2)))
(+.f64 (*.f64 1/18 (pow.f64 t 3)) (+.f64 (*.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4))))
(+.f64 (*.f64 -77/162 (pow.f64 t 5)) (+.f64 (*.f64 1/18 (pow.f64 t 3)) (+.f64 (*.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4)))))
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 (*.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
Outputs
(*.f64 1/12 (pow.f64 t 2))
(*.f64 1/12 (*.f64 t t))
(+.f64 (*.f64 1/18 (pow.f64 t 3)) (*.f64 1/12 (pow.f64 t 2)))
(fma.f64 1/18 (pow.f64 t 3) (*.f64 1/12 (*.f64 t t)))
(fma.f64 1/12 (*.f64 t t) (*.f64 1/18 (pow.f64 t 3)))
(*.f64 (*.f64 t t) (+.f64 1/12 (*.f64 t 1/18)))
(*.f64 t (*.f64 t (fma.f64 t 1/18 1/12)))
(+.f64 (*.f64 1/18 (pow.f64 t 3)) (+.f64 (*.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4))))
(fma.f64 1/18 (pow.f64 t 3) (fma.f64 1/12 (*.f64 t t) (*.f64 71/216 (pow.f64 t 4))))
(fma.f64 71/216 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 1/12 (*.f64 t 1/18))))
(fma.f64 t (*.f64 t (fma.f64 t 1/18 1/12)) (*.f64 71/216 (pow.f64 t 4)))
(+.f64 (*.f64 -77/162 (pow.f64 t 5)) (+.f64 (*.f64 1/18 (pow.f64 t 3)) (+.f64 (*.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4)))))
(fma.f64 -77/162 (pow.f64 t 5) (fma.f64 1/18 (pow.f64 t 3) (fma.f64 1/12 (*.f64 t t) (*.f64 71/216 (pow.f64 t 4)))))
(fma.f64 -77/162 (pow.f64 t 5) (fma.f64 71/216 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 1/12 (*.f64 t 1/18)))))
(fma.f64 71/216 (pow.f64 t 4) (fma.f64 t (*.f64 t (fma.f64 t 1/18 1/12)) (*.f64 -77/162 (pow.f64 t 5))))
(fma.f64 t (*.f64 t (fma.f64 t 1/18 1/12)) (fma.f64 71/216 (pow.f64 t 4) (*.f64 -77/162 (pow.f64 t 5))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t))))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3)))))
(-.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3))))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (/.f64 -176/81 (pow.f64 t 3)))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -176/81 (pow.f64 t 3))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 1/27 (/.f64 176/81 t))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t))))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3)))))
(-.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3))))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (/.f64 -176/81 (pow.f64 t 3)))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -176/81 (pow.f64 t 3))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 1/27 (/.f64 176/81 t))))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))

localize63.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (*.f64 2 t) (+.f64 1 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
2 → 24
Calls

6 calls:

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

rewrite126.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
711×log-prod_binary64
528×prod-diff_binary64
389×fma-def_binary64
305×log-div_binary64
248×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01241
128439
2432339
Stop Event
node limit
Counts
2 → 147
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))))
Outputs
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simplify86.0ms (0.8%)

Algorithm
egg-herbie
Rules
838×fma-neg_binary64
544×associate-*l*_binary64
507×cancel-sign-sub-inv_binary64
476×fma-def_binary64
426×times-frac_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039278
1114270
2295268
3842258
42529248
Stop Event
node limit
Counts
171 → 175
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))))
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 8 t (fma.f64 t (*.f64 t (fma.f64 8 t -8)) -4))
(fma.f64 t (+.f64 8 (*.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 (/.f64 8 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 8 (*.f64 t t)))
(+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 8 t) 8)))
(-.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 (/.f64 8 (*.f64 t t)) (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 -8 (pow.f64 t 3))))
(+.f64 (+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t))) (/.f64 -8 (pow.f64 t 3)))
(fma.f64 (/.f64 1 (*.f64 t t)) (-.f64 8 (/.f64 8 t)) (+.f64 4 (/.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 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (/.f64 8 (*.f64 t t))) (/.f64 8 t))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 8 (*.f64 t t)))
(+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 8 t) 8)))
(-.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 (/.f64 8 (*.f64 t t)) (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 -8 (pow.f64 t 3))))
(+.f64 (+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t))) (/.f64 -8 (pow.f64 t 3)))
(fma.f64 (/.f64 1 (*.f64 t t)) (-.f64 8 (/.f64 8 t)) (+.f64 4 (/.f64 -8 t)))
-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 t (*.f64 t -8) (fma.f64 8 t -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 t (*.f64 t (fma.f64 8 t -8)) (fma.f64 8 t -2))
(fma.f64 t (+.f64 8 (*.f64 t (fma.f64 8 t -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 (+.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 6 (-.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.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 (/.f64 8 (*.f64 t t)) (+.f64 6 (/.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 6 (fma.f64 (/.f64 1 (*.f64 t t)) (-.f64 8 (/.f64 8 t)) (/.f64 -8 t)))
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 (+.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 6 (-.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.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 (/.f64 8 (*.f64 t t)) (+.f64 6 (/.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 6 (fma.f64 (/.f64 1 (*.f64 t t)) (-.f64 8 (/.f64 8 t)) (/.f64 -8 t)))

eval2.2s (20.5%)

Compiler

Compiled 49648 to 37796 computations (23.9% saved)

prune248.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New160371610
Fresh404
Picked101
Done415
Total161281620
Error
0b
Counts
1620 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
24.4b
1/2
33.6b
(+.f64 5/6 (/.f64 -2/9 t))
33.6b
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t))))
12.8b
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
12.4b
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
31.2b
(/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))
29.2b
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
28.3b
5/6
Compiler

Compiled 238 to 176 computations (26.1% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))
0.0b
(/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))
0.0b
(*.f64 4 (*.f64 t t))
11.8b
(/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1))
Compiler

Compiled 99 to 63 computations (36.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite75.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
615×log-prod_binary64
302×pow2_binary64
250×fma-def_binary64
238×prod-diff_binary64
228×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01141
124729
2351329
Stop Event
node limit
Counts
2 → 109
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))
(+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))
Outputs
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simplify57.0ms (0.5%)

Algorithm
egg-herbie
Rules
756×distribute-neg-frac_binary64
558×fma-def_binary64
548×associate-/r*_binary64
334×times-frac_binary64
261×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046318
1130316
2322310
3918297
42658297
56666297
Stop Event
node limit
Counts
133 → 138
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)))))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
Outputs
(*.f64 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 (*.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 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4))))
(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 (*.f64 t -8) 4)))
(fma.f64 t (*.f64 t (fma.f64 t -8 4)) (*.f64 12 (pow.f64 t 4)))
(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 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4)))))
(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 (*.f64 t -8) 4))))
(fma.f64 t (*.f64 t (fma.f64 t -8 4)) (fma.f64 -16 (pow.f64 t 5) (*.f64 12 (pow.f64 t 4))))
(fma.f64 12 (pow.f64 t 4) (fma.f64 (*.f64 t t) (fma.f64 t -8 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 (+.f64 4 (/.f64 12 (*.f64 t t))) (/.f64 8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 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 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) (/.f64 16 (pow.f64 t 3))) 4))
(-.f64 (+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) (/.f64 16 (pow.f64 t 3)))
(+.f64 (-.f64 4 (/.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 (+.f64 4 (/.f64 12 (*.f64 t t))) (/.f64 8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 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 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) (/.f64 16 (pow.f64 t 3))) 4))
(-.f64 (+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) (/.f64 16 (pow.f64 t 3)))
(+.f64 (-.f64 4 (/.f64 8 t)) (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -16 (pow.f64 t 3))))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(+.f64 2 (*.f64 4 (*.f64 t t)))
(fma.f64 4 (*.f64 t t) 2)
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (fma.f64 4 (*.f64 t t) 2))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) 2))
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) 2)
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 12 (pow.f64 t 4)))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t)))))
(+.f64 2 (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 (*.f64 t -8) 4))))
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (fma.f64 12 (pow.f64 t 4) 2))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) (/.f64 8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (/.f64 8 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(-.f64 (+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) (/.f64 16 (pow.f64 t 3)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (-.f64 6 (/.f64 8 t)) (/.f64 16 (pow.f64 t 3))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) (/.f64 8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (/.f64 8 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(-.f64 (+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) (/.f64 16 (pow.f64 t 3)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (-.f64 6 (/.f64 8 t)) (/.f64 16 (pow.f64 t 3))))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite58.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify13.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t)))
0.0b
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t))))
0.3b
(/.f64 -1/27 (*.f64 t t))
0.4b
(/.f64 -2/9 t)
Compiler

Compiled 36 to 21 computations (41.7% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
t
@0
(/.f64 -1/27 (*.f64 t t))
0.0ms
t
@0
(-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t)))
0.0ms
t
@inf
(/.f64 -1/27 (*.f64 t t))
0.0ms
t
@0
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t))))
0.0ms
t
@inf
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t))))

rewrite95.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
823×prod-diff_binary64
512×log-prod_binary64
385×fma-def_binary64
248×log-div_binary64
219×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
124730
2360230
Stop Event
node limit
Counts
3 → 236
Calls
Call 1
Inputs
(/.f64 -1/27 (*.f64 t t))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t))))
(-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t 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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/27) (pow.f64 t -2))) (cbrt.f64 (pow.f64 (exp.f64 -1/27) (pow.f64 t -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 (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 (pow.f64 t -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) -27) -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 (pow.f64 t -2) 3)))))) (#(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))))))
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simplify64.0ms (0.6%)

Algorithm
egg-herbie
Rules
608×distribute-neg-frac_binary64
539×div-sub_binary64
482×associate-/r*_binary64
461×fma-neg_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
023348
149348
283348
3150348
4313348
5896348
63839336
77218336
Stop Event
node limit
Counts
272 → 249
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))

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))
0.0b
(*.f64 4 (*.f64 t t))
0.1b
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
11.8b
(/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1))
Compiler

Compiled 83 to 51 computations (38.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite68.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
616×prod-diff_binary64
419×fma-def_binary64
319×log-div_binary64
273×fma-neg_binary64
254×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01334
130126
2452226
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.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 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (*.f64 t t) 1) (/.f64 1 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))) 2) (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 1) 2)) (*.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 1)) (/.f64 1 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))) (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 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 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 t t) -4 -1) (/.f64 1 (+.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))) (fma.f64 4 (*.f64 t t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 1) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 1)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 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)) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)) 2))) (/.f64 (fma.f64 4 (*.f64 t t) 1) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 1) 2)) (cbrt.f64 (pow.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)) 2))) (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (cbrt.f64 (pow.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)) 2))) (/.f64 (hypot.f64 1 (*.f64 t 2)) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))) (/.f64 (fma.f64 4 (*.f64 t t) 1) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 1) 2)) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))) (/.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 1)) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 8 (pow.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2) 3))) (fma.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2) (-.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (-.f64 4 (pow.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2) 2))) (-.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)) (fma.f64 4 (*.f64 t t) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 1) 3) (pow.f64 (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (+.f64 2 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 1 t)) 2)))) 1))))))

simplify80.0ms (0.8%)

Algorithm
egg-herbie
Rules
881×fma-def_binary64
803×unswap-sqr_binary64
520×associate-/r/_binary64
331×associate-/l/_binary64
328×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033145
181137
2181133
3481115
41306112
52938112
64801112
75885112
86802112
97853112
Stop Event
node limit
Counts
47 → 50
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 3)) (pow.f64 t 2)))
(+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 3)) (+.f64 (pow.f64 t 2) (*.f64 -5 (pow.f64 t 4)))))
(*.f64 2/3 (pow.f64 t 2))
(+.f64 (*.f64 8/9 t) (*.f64 2/3 (pow.f64 t 2)))
(+.f64 (*.f64 8/9 t) (+.f64 1/54 (*.f64 2/3 (pow.f64 t 2))))
(+.f64 (*.f64 8/9 t) (+.f64 1/54 (+.f64 (*.f64 2/3 (pow.f64 t 2)) (*.f64 2/81 (/.f64 1 t)))))
(*.f64 2/3 (pow.f64 t 2))
(+.f64 (*.f64 8/9 t) (*.f64 2/3 (pow.f64 t 2)))
(+.f64 (*.f64 8/9 t) (+.f64 1/54 (*.f64 2/3 (pow.f64 t 2))))
(+.f64 (*.f64 8/9 t) (+.f64 1/54 (+.f64 (*.f64 2/3 (pow.f64 t 2)) (*.f64 2/81 (/.f64 1 t)))))
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 3)) (pow.f64 t 2)))
(+.f64 1/2 (fma.f64 2 (pow.f64 t 3) (*.f64 t t)))
(+.f64 1/2 (fma.f64 t t (*.f64 2 (pow.f64 t 3))))
(fma.f64 t t (fma.f64 2 (pow.f64 t 3) 1/2))
(+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 3)) (+.f64 (pow.f64 t 2) (*.f64 -5 (pow.f64 t 4)))))
(+.f64 1/2 (+.f64 (fma.f64 2 (pow.f64 t 3) (*.f64 t t)) (*.f64 -5 (pow.f64 t 4))))
(+.f64 1/2 (fma.f64 2 (pow.f64 t 3) (fma.f64 t t (*.f64 -5 (pow.f64 t 4)))))
(+.f64 (fma.f64 t t 1/2) (fma.f64 -5 (pow.f64 t 4) (*.f64 2 (pow.f64 t 3))))
(fma.f64 t t (fma.f64 -5 (pow.f64 t 4) (fma.f64 2 (pow.f64 t 3) 1/2)))
(fma.f64 (pow.f64 t 3) (fma.f64 t -5 2) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 (pow.f64 t 3) (fma.f64 t -5 2) 1/2))
(*.f64 2/3 (pow.f64 t 2))
(*.f64 (*.f64 t t) 2/3)
(*.f64 t (*.f64 t 2/3))
(+.f64 (*.f64 8/9 t) (*.f64 2/3 (pow.f64 t 2)))
(fma.f64 8/9 t (*.f64 (*.f64 t t) 2/3))
(fma.f64 t 8/9 (*.f64 (*.f64 t t) 2/3))
(*.f64 t (+.f64 (*.f64 t 2/3) 8/9))
(*.f64 t (fma.f64 t 2/3 8/9))
(+.f64 (*.f64 8/9 t) (+.f64 1/54 (*.f64 2/3 (pow.f64 t 2))))
(fma.f64 8/9 t (+.f64 (*.f64 (*.f64 t t) 2/3) 1/54))
(fma.f64 t 8/9 (fma.f64 (*.f64 t t) 2/3 1/54))
(fma.f64 t (*.f64 t 2/3) (fma.f64 t 8/9 1/54))
(fma.f64 t (fma.f64 t 2/3 8/9) 1/54)
(+.f64 (*.f64 8/9 t) (+.f64 1/54 (+.f64 (*.f64 2/3 (pow.f64 t 2)) (*.f64 2/81 (/.f64 1 t)))))
(fma.f64 8/9 t (+.f64 1/54 (fma.f64 2/3 (*.f64 t t) (/.f64 2/81 t))))
(+.f64 (fma.f64 t 8/9 (fma.f64 (*.f64 t t) 2/3 1/54)) (/.f64 2/81 t))
(+.f64 (fma.f64 t (*.f64 t 2/3) (fma.f64 t 8/9 1/54)) (/.f64 2/81 t))
(+.f64 1/54 (fma.f64 t (fma.f64 t 2/3 8/9) (/.f64 2/81 t)))
(*.f64 2/3 (pow.f64 t 2))
(*.f64 (*.f64 t t) 2/3)
(*.f64 t (*.f64 t 2/3))
(+.f64 (*.f64 8/9 t) (*.f64 2/3 (pow.f64 t 2)))
(fma.f64 8/9 t (*.f64 (*.f64 t t) 2/3))
(fma.f64 t 8/9 (*.f64 (*.f64 t t) 2/3))
(*.f64 t (+.f64 (*.f64 t 2/3) 8/9))
(*.f64 t (fma.f64 t 2/3 8/9))
(+.f64 (*.f64 8/9 t) (+.f64 1/54 (*.f64 2/3 (pow.f64 t 2))))
(fma.f64 8/9 t (+.f64 (*.f64 (*.f64 t t) 2/3) 1/54))
(fma.f64 t 8/9 (fma.f64 (*.f64 t t) 2/3 1/54))
(fma.f64 t (*.f64 t 2/3) (fma.f64 t 8/9 1/54))
(fma.f64 t (fma.f64 t 2/3 8/9) 1/54)
(+.f64 (*.f64 8/9 t) (+.f64 1/54 (+.f64 (*.f64 2/3 (pow.f64 t 2)) (*.f64 2/81 (/.f64 1 t)))))
(fma.f64 8/9 t (+.f64 1/54 (fma.f64 2/3 (*.f64 t t) (/.f64 2/81 t))))
(+.f64 (fma.f64 t 8/9 (fma.f64 (*.f64 t t) 2/3 1/54)) (/.f64 2/81 t))
(+.f64 (fma.f64 t (*.f64 t 2/3) (fma.f64 t 8/9 1/54)) (/.f64 2/81 t))
(+.f64 1/54 (fma.f64 t (fma.f64 t 2/3 8/9) (/.f64 2/81 t)))

localize31.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t))))
0.2b
(/.f64 12 (*.f64 t t))
15.0b
(/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))
Compiler

Compiled 88 to 59 computations (33% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
t
@inf
(+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t))))
1.0ms
t
@0
(/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))
0.0ms
t
@inf
(/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))
0.0ms
t
@-inf
(/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))
0.0ms
t
@0
(+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t))))

rewrite86.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
898×fma-def_binary64
471×fma-neg_binary64
341×expm1-udef_binary64
341×log1p-udef_binary64
198×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01656
139148
2603144
Stop Event
node limit
Counts
2 → 93
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))
(+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t))))
Outputs
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((x exp.f64 (log.f64 (fma.f64 12 (pow.f64 t -2) (+.f64 5 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 12 (pow.f64 t -2) (+.f64 5 (/.f64 -8 t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 4 (/.f64 -8 t)) (fma.f64 12 (pow.f64 t -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 12 (pow.f64 t -2)) (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 4 (fma.f64 12 (pow.f64 t -2) (/.f64 -8 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 5 (/.f64 -8 t)) (*.f64 12 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 4 (/.f64 -8 t)) 1 (fma.f64 12 (pow.f64 t -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 (pow.f64 t -2) (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 12 (pow.f64 t -2)) 1 (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 4 (fma.f64 12 (pow.f64 t -2) (/.f64 -8 t))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 4 (fma.f64 12 (pow.f64 t -2) (/.f64 -8 t)))) (pow.f64 (cbrt.f64 (+.f64 4 (fma.f64 12 (pow.f64 t -2) (/.f64 -8 t)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 4 (fma.f64 12 (pow.f64 t -2) (/.f64 -8 t)))) 2) (cbrt.f64 (+.f64 4 (fma.f64 12 (pow.f64 t -2) (/.f64 -8 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 12 (pow.f64 t -2))) (cbrt.f64 (/.f64 144 (pow.f64 t 4))) (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 144 (pow.f64 t 4))) (cbrt.f64 (*.f64 12 (pow.f64 t -2))) (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 4 (/.f64 -8 t))) (cbrt.f64 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2)) (fma.f64 12 (pow.f64 t -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2)) (cbrt.f64 (+.f64 4 (/.f64 -8 t))) (fma.f64 12 (pow.f64 t -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 4 (fma.f64 12 (pow.f64 t -2) (/.f64 -8 t)))) (sqrt.f64 (+.f64 4 (fma.f64 12 (pow.f64 t -2) (/.f64 -8 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 12) t) (/.f64 (sqrt.f64 12) t) (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 4 (/.f64 -8 t))) (sqrt.f64 (+.f64 4 (/.f64 -8 t))) (fma.f64 12 (pow.f64 t -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 (/.f64 1 (*.f64 t (neg.f64 t))) (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 64 (/.f64 -512 (pow.f64 t 3))) (/.f64 1 (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 4) 16)) (fma.f64 12 (pow.f64 t -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1728 (pow.f64 (pow.f64 t -2) 3) (pow.f64 (+.f64 4 (/.f64 -8 t)) 3)) (/.f64 1 (fma.f64 (*.f64 12 (pow.f64 t -2)) (-.f64 (*.f64 12 (pow.f64 t -2)) (+.f64 4 (/.f64 -8 t))) (pow.f64 (+.f64 4 (/.f64 -8 t)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -2) 12 (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 16 (/.f64 64 (*.f64 t t))) (/.f64 1 (-.f64 4 (/.f64 -8 t))) (fma.f64 12 (pow.f64 t -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2) (/.f64 144 (pow.f64 t 4))) (/.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (*.f64 -12 (pow.f64 t -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 12 t) (/.f64 1 t) (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 5 (/.f64 -8 t)) 1 (*.f64 12 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t))) (cbrt.f64 (+.f64 5 (/.f64 -8 t)))) (cbrt.f64 (+.f64 5 (/.f64 -8 t))) (*.f64 12 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 5 (/.f64 -8 t))) (sqrt.f64 (+.f64 5 (/.f64 -8 t))) (*.f64 12 (pow.f64 t -2)))))))

simplify57.0ms (0.5%)

Algorithm
egg-herbie
Rules
919×fma-def_binary64
805×unswap-sqr_binary64
451×distribute-neg-frac_binary64
393×associate-/r*_binary64
377×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
046282
1124280
2275276
3700270
41909267
55190263
Stop Event
node limit
Counts
117 → 116
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/12 (pow.f64 t 2)))
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 t 2)) (*.f64 -1/18 (pow.f64 t 3))))
(+.f64 1 (+.f64 (*.f64 1/216 (pow.f64 t 4)) (+.f64 (*.f64 -1/12 (pow.f64 t 2)) (*.f64 -1/18 (pow.f64 t 3)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 40/81 (/.f64 1 (pow.f64 t 3))) 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))) (+.f64 (*.f64 40/81 (/.f64 1 (pow.f64 t 3))) 5/6)) (*.f64 2/9 (/.f64 1 t)))
(/.f64 12 (pow.f64 t 2))
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
Outputs
1
(+.f64 1 (*.f64 -1/12 (pow.f64 t 2)))
(+.f64 1 (*.f64 -1/12 (*.f64 t t)))
(fma.f64 -1/12 (*.f64 t t) 1)
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 t 2)) (*.f64 -1/18 (pow.f64 t 3))))
(+.f64 1 (fma.f64 -1/12 (*.f64 t t) (*.f64 -1/18 (pow.f64 t 3))))
(fma.f64 -1/12 (*.f64 t t) (fma.f64 -1/18 (pow.f64 t 3) 1))
(fma.f64 (*.f64 t t) (fma.f64 t -1/18 -1/12) 1)
(fma.f64 t (*.f64 t (fma.f64 t -1/18 -1/12)) 1)
(+.f64 1 (+.f64 (*.f64 1/216 (pow.f64 t 4)) (+.f64 (*.f64 -1/12 (pow.f64 t 2)) (*.f64 -1/18 (pow.f64 t 3)))))
(+.f64 1 (fma.f64 1/216 (pow.f64 t 4) (fma.f64 -1/12 (*.f64 t t) (*.f64 -1/18 (pow.f64 t 3)))))
(fma.f64 1/216 (pow.f64 t 4) (fma.f64 -1/12 (*.f64 t t) (fma.f64 -1/18 (pow.f64 t 3) 1)))
(fma.f64 t (*.f64 t (fma.f64 t -1/18 -1/12)) (fma.f64 1/216 (pow.f64 t 4) 1))
(fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 1/216 -1/18) -1/12)) 1)
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 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 (*.f64 40/81 (/.f64 1 (pow.f64 t 3))) 5/6)) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 40/81 (pow.f64 t 3)))) (/.f64 2/9 t))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 40/81 (pow.f64 t 3)))) (/.f64 -2/9 t))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 40/81 (pow.f64 t 3))))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 40/81 (pow.f64 t 3)) (/.f64 -2/9 t))))
(+.f64 5/6 (fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 1/27 (/.f64 40/81 t)) (/.f64 -2/9 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (+.f64 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 (*.f64 40/81 (/.f64 1 (pow.f64 t 3))) 5/6)) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 40/81 (pow.f64 t 3)))) (/.f64 2/9 t))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 40/81 (pow.f64 t 3)))) (/.f64 -2/9 t))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 40/81 (pow.f64 t 3))))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 40/81 (pow.f64 t 3)) (/.f64 -2/9 t))))
(+.f64 5/6 (fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 1/27 (/.f64 40/81 t)) (/.f64 -2/9 t)))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 8 (/.f64 1 t)))
(-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))
(-.f64 (/.f64 -8 t) (/.f64 -12 (*.f64 t t)))
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 5 (/.f64 -8 t)))
(+.f64 (-.f64 (/.f64 -8 t) (/.f64 -12 (*.f64 t t))) 5)
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 5 (/.f64 -8 t)))
(+.f64 (-.f64 (/.f64 -8 t) (/.f64 -12 (*.f64 t t))) 5)
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 5 (/.f64 -8 t)))
(+.f64 (-.f64 (/.f64 -8 t) (/.f64 -12 (*.f64 t t))) 5)
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 5 (/.f64 -8 t)))
(+.f64 (-.f64 (/.f64 -8 t) (/.f64 -12 (*.f64 t t))) 5)
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 5 (/.f64 -8 t)))
(+.f64 (-.f64 (/.f64 -8 t) (/.f64 -12 (*.f64 t t))) 5)
(-.f64 (+.f64 5 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 5 (/.f64 -8 t)))
(+.f64 (-.f64 (/.f64 -8 t) (/.f64 -12 (*.f64 t t))) 5)

eval730.0ms (6.9%)

Compiler

Compiled 27588 to 20721 computations (24.9% saved)

prune135.0ms (1.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New103061036
Fresh112
Picked101
Done325
Total103591044
Error
0b
Counts
1044 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
24.4b
1/2
33.6b
(+.f64 5/6 (/.f64 -2/9 t))
34.1b
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
26.5b
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
33.6b
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))
12.8b
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
28.3b
5/6
51.2b
1
12.8b
(/.f64 (+.f64 1 (/.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
Compiler

Compiled 112 to 85 computations (24.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 29 to 22 computations (24.1% saved)

series5.0ms (0%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
1.0ms
t
@inf
(/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)
1.0ms
t
@0
(/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)
1.0ms
t
@0
(/.f64 -1/27 t)
0.0ms
t
@0
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))
0.0ms
t
@inf
(/.f64 -1/27 t)

rewrite106.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
474×log-prod_binary64
282×pow2_binary64
265×prod-diff_binary64
249×pow-prod-down_binary64
196×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
121834
2302434
Stop Event
node limit
Counts
4 → 242
Calls
Call 1
Inputs
(/.f64 -1/27 t)
(/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)
(-.f64 -2/9 (/.f64 -1/27 t))
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 1 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) (neg.f64 (fma.f64 -1/27 (pow.f64 t -2) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 2) (*.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (/.f64 1 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 2)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 2)) (cbrt.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (*.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (/.f64 1 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) (sqrt.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 2/9 (neg.f64 (/.f64 1/27 t))) (/.f64 1 (neg.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 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)) (neg.f64 (fma.f64 -1/27 (pow.f64 t -2) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) (neg.f64 (fma.f64 -1/27 (pow.f64 t -2) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) -2) (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) (cbrt.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -1/2) (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) (sqrt.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 1) (/.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (cbrt.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (sqrt.f64 t)) 5/6)))))

simplify66.0ms (0.6%)

Algorithm
egg-herbie
Rules
688×distribute-neg-frac_binary64
599×div-sub_binary64
562×fma-neg_binary64
434×unswap-sqr_binary64
425×times-frac_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
024333
153333
286333
3151333
4328333
5965321
64458285
77583285
Stop Event
node limit
Counts
278 → 256
Calls
Call 1
Inputs
(/.f64 1/27 (pow.f64 t 2))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 1/27 t)
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
-2/9
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
-2/9
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(/.f64 1/27 (pow.f64 t 2))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
Outputs
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(/.f64 -2/9 t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(/.f64 -2/9 t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(/.f64 1/27 t)
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(+.f64 (/.f64 1/27 t) -2/9)
(+.f64 -2/9 (/.f64 1/27 t))
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(+.f64 (/.f64 1/27 t) -2/9)
(+.f64 -2/9 (/.f64 1/27 t))
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(+.f64 (/.f64 1/27 t) -2/9)
(+.f64 -2/9 (/.f64 1/27 t))
-2/9
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(+.f64 (/.f64 1/27 t) -2/9)
(+.f64 -2/9 (/.f64 1/27 t))
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(+.f64 (/.f64 1/27 t) -2/9)
(+.f64 -2/9 (/.f64 1/27 t))
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(+.f64 (/.f64 1/27 t) -2/9)
(+.f64 -2/9 (/.f64 1/27 t))
-2/9
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(+.f64 (/.f64 1/27 t) -2/9)
(+.f64 -2/9 (/.f64 1/27 t))
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(+.f64 (/.f64 1/27 t) -2/9)
(+.f64 -2/9 (/.f64 1/27 t))
(-.f64 (*.f64 1/27 (/.f64 1 t)) 2/9)
(+.f64 (/.f64 1/27 t) -2/9)
(+.f64 -2/9 (/.f64 1/27 t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) 5/6)
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) 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)))
(+.f64 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) 5/6)
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) 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)))
(+.f64 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) 5/6)
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) 5/6)
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) 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)))
(+.f64 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) 5/6)
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)) 5/6)
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 -2/9 t) 5/6)
0.4b
(/.f64 -2/9 t)
0.4b
(+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))
0.5b
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
Compiler

Compiled 29 to 24 computations (17.2% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite84.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
570×unpow-prod-down_binary64
487×prod-diff_binary64
368×log-prod_binary64
368×fma-def_binary64
244×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0936
121621
2301421
Stop Event
node limit
Counts
3 → 275
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))
(+.f64 (/.f64 -2/9 t) 5/6)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1) (-.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1) 1)))))

simplify21.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
012207
124207
237207
361207
484207
5108207
6134207
7156207
8166207
Stop Event
saturated
Counts
311 → 189
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)))
(/.f64 -2/9 t)
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
11/6
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
11/6
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 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 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 -2/9 t)
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
11/6
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
11/6
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.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))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 4 (*.f64 t t))
12.4b
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
Compiler

Compiled 42 to 24 computations (42.9% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite61.0ms (0.6%)

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 (0.5%)

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)))))

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))
0.0b
(*.f64 4 (*.f64 t t))
11.8b
(/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1))
11.9b
(*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t))
Compiler

Compiled 126 to 80 computations (36.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite50.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
835×pow1_binary64
784×log1p-expm1-u_binary64
784×expm1-log1p-u_binary64
783×add-log-exp_binary64
767×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
117513
2223313
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (+.f64 t 1) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 t 1) (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t t) (*.f64 (+.f64 t 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (*.f64 t t))) (+.f64 -1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (*.f64 t t)) 1) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (*.f64 t t)) (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (cbrt.f64 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (*.f64 t t)) (sqrt.f64 (+.f64 t 1))) (sqrt.f64 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (*.f64 t t)) (+.f64 -1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) -4) (+.f64 -1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (/.f64 2 (sqrt.f64 (+.f64 t 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 4 (+.f64 t 1)) 2) (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 4 (+.f64 t 1))) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (+.f64 t 1)) 3) (pow.f64 (*.f64 t t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 t t) 3) (pow.f64 (/.f64 4 (+.f64 t 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 4 (*.f64 t t))) (log1p.f64 t)))))))

simplify70.0ms (0.7%)

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
35 → 38
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))

eval426.0ms (4%)

Compiler

Compiled 16118 to 12409 computations (23% saved)

prune144.0ms (1.4%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New7183721
Fresh123
Picked011
Done145
Total72010730
Error
0b
Counts
730 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
24.4b
1/2
33.6b
(+.f64 5/6 (/.f64 -2/9 t))
28.7b
(-.f64 11/6 1)
12.8b
(/.f64 (+.f64 1 (/.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
26.5b
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
34.1b
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
33.6b
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))
12.8b
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
28.3b
5/6
51.2b
1
Compiler

Compiled 114 to 87 computations (23.7% saved)

regimes64.0ms (0.6%)

Counts
26 → 1
Calls
Call 1
Inputs
5/6
5/6
1
1/2
5/6
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 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)))) 6)
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))
(/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 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 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))
(/.f64 (+.f64 1 (/.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) (+.f64 t 1))) (+.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 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.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 t 2))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 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 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 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 (*.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)))))
Calls

4 calls:

13.0ms
t
11.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))
8.0ms
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
4.0ms
(/.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 517 to 384 computations (25.7% saved)

regimes185.0ms (1.8%)

Counts
25 → 3
Calls
Call 1
Inputs
5/6
5/6
1
1/2
5/6
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 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)))) 6)
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))
(/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 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 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))
(/.f64 (+.f64 1 (/.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) (+.f64 t 1))) (+.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 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.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 t 2))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 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 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 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)))))
Outputs
5/6
(/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(+.f64 5/6 (/.f64 -2/9 t))
Calls

5 calls:

63.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))
40.0ms
t
40.0ms
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
21.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))
12.0ms
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
Results
ErrorSegmentsBranch
0.0b3t
0.6b2(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.6b2(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.4b2(/.f64 (*.f64 2 t) (+.f64 1 t))
0.4b2(/.f64 (*.f64 2 t) (+.f64 1 t))
Compiler

Compiled 470 to 347 computations (26.2% saved)

bsearch70.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
4.15177225914902
130738592981.59288
37.0ms
-1.5969821518931573e+158
-4.739904007643466e+152
Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes114.0ms (1.1%)

Counts
20 → 3
Calls
Call 1
Inputs
5/6
5/6
1
1/2
5/6
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 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)))) 6)
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))
(/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 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 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))
(/.f64 (+.f64 1 (/.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
Outputs
5/6
(/.f64 (+.f64 1 (/.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(+.f64 5/6 (/.f64 -2/9 t))
Calls

5 calls:

28.0ms
t
26.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))
17.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))
16.0ms
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
15.0ms
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
Results
ErrorSegmentsBranch
0.0b3t
0.6b2(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.6b2(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.4b2(/.f64 (*.f64 2 t) (+.f64 1 t))
0.4b2(/.f64 (*.f64 2 t) (+.f64 1 t))
Compiler

Compiled 309 to 228 computations (26.2% saved)

bsearch69.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
4.15177225914902
130738592981.59288
36.0ms
-3.200420773263416e+71
-2.37354906632565e+69
Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes94.0ms (0.9%)

Counts
19 → 3
Calls
Call 1
Inputs
5/6
5/6
1
1/2
5/6
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(/.f64 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)))) 6)
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))
(/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 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 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))
Outputs
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))
(/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t))))
(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))
Calls

5 calls:

33.0ms
t
17.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))
16.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))
10.0ms
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
10.0ms
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
Results
ErrorSegmentsBranch
0.8b3t
0.8b2(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.8b2(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.8b2(/.f64 (*.f64 2 t) (+.f64 1 t))
0.8b2(/.f64 (*.f64 2 t) (+.f64 1 t))
Compiler

Compiled 278 to 207 computations (25.5% saved)

bsearch68.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
34.0ms
7.357464671497419e-7
4.15177225914902
34.0ms
-22.24483945582564
-1.981174535060629
Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes27.0ms (0.3%)

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

1 calls:

24.0ms
t
Results
ErrorSegmentsBranch
0.8b3t
Compiler

Compiled 52 to 43 computations (17.3% saved)

bsearch119.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
58.0ms
7.357464671497419e-7
4.15177225914902
61.0ms
-0.930147416678627
-7.254954290067613e-9
Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes37.0ms (0.4%)

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

1 calls:

34.0ms
t
Results
ErrorSegmentsBranch
0.9b3t
Compiler

Compiled 32 to 28 computations (12.5% saved)

bsearch87.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
34.0ms
7.357464671497419e-7
4.15177225914902
53.0ms
-0.930147416678627
-7.254954290067613e-9
Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes15.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
5/6
5/6
1
1/2
5/6
(-.f64 11/6 1)
Outputs
5/6
1/2
5/6
Calls

1 calls:

14.0ms
t
Results
ErrorSegmentsBranch
1.2b3t
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch69.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
34.0ms
7.357464671497419e-7
4.15177225914902
35.0ms
-0.930147416678627
-7.254954290067613e-9
Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes4.0ms (0%)

Accuracy

Total -23.0b remaining (-81.2%)

Threshold costs -23.0b (-81.2%)

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

1 calls:

3.0ms
t
Results
ErrorSegmentsBranch
28.3b1t
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify44.0ms (0.4%)

Algorithm
egg-herbie
Rules
12×+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
distribute-neg-frac_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063326
180326
287326
389326
490326
Stop Event
fuel
saturated
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)))))
(if (<=.f64 t -159698215189315730095087018734775063174622181916372441182680981778640720134413589522703131690026569840693163151587778924340339873619705015538604974226611896320) 5/6 (if (<=.f64 t 584309999975959/140737488355328) (/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -320042077326341617924436902203600977814325900401660632206395652989517824) 5/6 (if (<=.f64 t 584309999975959/140737488355328) (/.f64 (+.f64 1 (/.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -1565341416940201/70368744177664) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) (if (<=.f64 t 6948928912715387/9444732965739290427392) (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))))
(if (<=.f64 t -2094505779576747/2251799813685248) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) (if (<=.f64 t 6948928912715387/9444732965739290427392) 1/2 (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))))
(if (<=.f64 t -2094505779576747/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6948928912715387/9444732965739290427392) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -2094505779576747/2251799813685248) 5/6 (if (<=.f64 t 6948928912715387/9444732965739290427392) 1/2 5/6))
5/6
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)))))
(if (<=.f64 t -159698215189315730095087018734775063174622181916372441182680981778640720134413589522703131690026569840693163151587778924340339873619705015538604974226611896320) 5/6 (if (<=.f64 t 584309999975959/140737488355328) (/.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -159698215189315730095087018734775063174622181916372441182680981778640720134413589522703131690026569840693163151587778924340339873619705015538604974226611896320) 5/6 (if (<=.f64 t 584309999975959/140737488355328) (/.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)))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -320042077326341617924436902203600977814325900401660632206395652989517824) 5/6 (if (<=.f64 t 584309999975959/140737488355328) (/.f64 (+.f64 1 (/.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -320042077326341617924436902203600977814325900401660632206395652989517824) 5/6 (if (<=.f64 t 584309999975959/140737488355328) (/.f64 (+.f64 1 (/.f64 (*.f64 (*.f64 t t) (/.f64 4 (+.f64 1 t))) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)) (+.f64 1 t)))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -1565341416940201/70368744177664) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) (if (<=.f64 t 6948928912715387/9444732965739290427392) (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))))
(if (<=.f64 t -1565341416940201/70368744177664) (+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) (if (<=.f64 t 6948928912715387/9444732965739290427392) (/.f64 (+.f64 1 (*.f64 4 (*.f64 t t))) (+.f64 2 (*.f64 4 (*.f64 t t)))) (+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))))
(if (<=.f64 t -2094505779576747/2251799813685248) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) (if (<=.f64 t 6948928912715387/9444732965739290427392) 1/2 (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))))
(if (<=.f64 t -2094505779576747/2251799813685248) (+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) (if (<=.f64 t 6948928912715387/9444732965739290427392) 1/2 (+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))))
(if (<=.f64 t -2094505779576747/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6948928912715387/9444732965739290427392) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -2094505779576747/2251799813685248) 5/6 (if (<=.f64 t 6948928912715387/9444732965739290427392) 1/2 5/6))
5/6
Compiler

Compiled 232 to 177 computations (23.7% saved)

soundness0.0ms (0%)

end226.0ms (2.1%)

Compiler

Compiled 225 to 168 computations (25.3% saved)

Profiling

Loading profile data...