Details

Time bar (total: 2.7s)

analyze528.0ms (19.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%50%0%4
50%50%0%5
50%50%0%6
50%50%0%7
50%50%0%8
50%50%0%9
50%50%0%10
50%50%0%11
50%49.9%0%12
99.6%0.3%0%13
99.9%0%0%14
Compiler

Compiled 31 to 27 computations (12.9% saved)

sample1.2s (46.5%)

Results
1.2s8256×body128valid
Compiler

Compiled 62 to 54 computations (12.9% saved)

preprocess38.0ms (1.4%)

Algorithm
egg-herbie
Rules
716×fma-def_binary64
408×div-sub_binary64
342×times-frac_binary64
274×associate-/l*_binary64
193×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01343
12341
24741
312029
434229
5133926
6469426
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
Outputs
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t)))))))
(+.f64 1 (/.f64 -1 (fma.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)))
(+.f64 1 (/.f64 -1 (fma.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)))
(+.f64 1 (/.f64 -1 (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 2)))
(+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
Compiler

Compiled 30 to 26 computations (13.3% saved)

simplify26.0ms (1%)

Algorithm
egg-herbie
Rules
716×fma-def_binary64
408×div-sub_binary64
342×times-frac_binary64
274×associate-/l*_binary64
193×unsub-neg_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01343
12341
24741
312029
434229
5133926
6469426
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
Outputs
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t)))))))
(+.f64 1 (/.f64 -1 (fma.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)))
(+.f64 1 (/.f64 -1 (fma.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)))
(+.f64 1 (/.f64 -1 (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 2)))
(+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
Compiler

Compiled 86 to 76 computations (11.6% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 2 (+.f64 1 t)) -4)
0.0b
(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
0.0b
(/.f64 2 (+.f64 1 t))
0.0b
(/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

series5.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
t
@0
(/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
1.0ms
t
@inf
(/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
0.0ms
t
@-inf
(/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
0.0ms
t
@inf
(/.f64 2 (+.f64 1 t))
0.0ms
t
@0
(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)

rewrite64.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
263×fma-def_binary64
220×expm1-udef_binary64
220×log1p-udef_binary64
208×prod-diff_binary64
167×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01260
126460
2325860
Stop Event
node limit
Counts
4 → 110
Calls
Call 1
Inputs
(/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
(/.f64 2 (+.f64 1 t))
(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
(+.f64 (/.f64 2 (+.f64 1 t)) -4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6) 2))) (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) (sqrt.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 1 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (+.f64 1 t))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 t))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (+.f64 1 t))) (sqrt.f64 (/.f64 2 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 (pow.f64 t 3))) (fma.f64 t (-.f64 t 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 1 (*.f64 t t))) (-.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (+.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8 (pow.f64 (+.f64 1 t) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 t) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 2) (log1p.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 t)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 1) 6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 2) (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) (sqrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 3) 216) (fma.f64 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) (-.f64 36 (*.f64 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) -36) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) -6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) (+.f64 (/.f64 2 (+.f64 1 t)) 4)) (/.f64 16 (+.f64 (/.f64 2 (+.f64 1 t)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (+.f64 1 t)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -64 (/.f64 8 (pow.f64 (+.f64 1 t) 3))) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) (-.f64 16 (/.f64 -8 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) -16) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 t)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) (-.f64 16 (/.f64 -8 (+.f64 1 t)))) (+.f64 -64 (/.f64 8 (pow.f64 (+.f64 1 t) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 2 (+.f64 1 t)) 4) (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -64 (/.f64 8 (pow.f64 (+.f64 1 t) 3))) (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) (-.f64 16 (/.f64 -8 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -64 (/.f64 8 (pow.f64 (+.f64 1 t) 3))) (+.f64 16 (-.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) (/.f64 -8 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) -16) (+.f64 (/.f64 2 (+.f64 1 t)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -64 (/.f64 8 (pow.f64 (+.f64 1 t) 3)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) (-.f64 16 (/.f64 -8 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 t) 2)) -16)) (neg.f64 (+.f64 (/.f64 2 (+.f64 1 t)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (/.f64 4 (pow.f64 (+.f64 1 t) 2))) (-.f64 -4 (/.f64 2 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (+.f64 1 t)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 (+.f64 1 t)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 t)) 1 -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 t))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 t))) 2) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 t))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 t))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 (+.f64 1 t))) (sqrt.f64 (/.f64 2 (+.f64 1 t))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 t))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 t)) 2 -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 (pow.f64 t 3))) (fma.f64 t (-.f64 t 1) 1) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (-.f64 1 (*.f64 t t))) (-.f64 1 t) -4)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 1))))))

simplify32.0ms (1.2%)

Algorithm
egg-herbie
Rules
731×fma-neg_binary64
637×cancel-sign-sub-inv_binary64
285×sub-neg_binary64
281×fma-def_binary64
223×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
081631
1266602
2779581
32311572
Stop Event
node limit
Counts
158 → 165
Calls
Call 1
Inputs
-1/2
(-.f64 (pow.f64 t 2) 1/2)
(-.f64 (pow.f64 t 2) (+.f64 (*.f64 2 (pow.f64 t 3)) 1/2))
(-.f64 (+.f64 (pow.f64 t 4) (pow.f64 t 2)) (+.f64 (*.f64 2 (pow.f64 t 3)) 1/2))
-1/6
(neg.f64 (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
-1/6
(neg.f64 (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
2
(-.f64 2 (*.f64 2 t))
(-.f64 (+.f64 2 (*.f64 2 (pow.f64 t 2))) (*.f64 2 t))
(-.f64 (+.f64 2 (*.f64 2 (pow.f64 t 2))) (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 4)))))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 4)))))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(-.f64 (+.f64 2 (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3)))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (+.f64 2 (*.f64 4 (pow.f64 t 2)))) (*.f64 8 (pow.f64 t 3)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 t)))
(-.f64 (*.f64 2 (pow.f64 t 2)) (+.f64 2 (*.f64 2 t)))
(-.f64 (*.f64 2 (pow.f64 t 2)) (+.f64 (*.f64 2 (pow.f64 t 3)) (+.f64 2 (*.f64 2 t))))
-4
(-.f64 (*.f64 2 (/.f64 1 t)) 4)
(-.f64 (*.f64 2 (/.f64 1 t)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 4))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 4))
-4
(-.f64 (*.f64 2 (/.f64 1 t)) 4)
(-.f64 (*.f64 2 (/.f64 1 t)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 4))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 4))
Outputs
-1/2
(-.f64 (pow.f64 t 2) 1/2)
(+.f64 (*.f64 t t) -1/2)
(fma.f64 t t -1/2)
(-.f64 (pow.f64 t 2) (+.f64 (*.f64 2 (pow.f64 t 3)) 1/2))
(-.f64 (*.f64 t t) (fma.f64 2 (pow.f64 t 3) 1/2))
(+.f64 (*.f64 (pow.f64 t 3) -2) (fma.f64 t t -1/2))
(fma.f64 t t (fma.f64 (pow.f64 t 3) -2 -1/2))
(-.f64 (+.f64 (pow.f64 t 4) (pow.f64 t 2)) (+.f64 (*.f64 2 (pow.f64 t 3)) 1/2))
(+.f64 (pow.f64 t 4) (-.f64 (*.f64 t t) (fma.f64 2 (pow.f64 t 3) 1/2)))
(-.f64 (fma.f64 t t (pow.f64 t 4)) (fma.f64 2 (pow.f64 t 3) 1/2))
(fma.f64 t t (+.f64 (*.f64 (pow.f64 t 3) (-.f64 t 2)) -1/2))
(fma.f64 t t (fma.f64 (pow.f64 t 3) (+.f64 t -2) -1/2))
-1/6
(neg.f64 (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(neg.f64 (+.f64 (/.f64 2/9 t) 1/6))
(+.f64 (/.f64 -2/9 t) -1/6)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) 1/6))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 1/27 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 2/9 t) 1/6)))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) -1/6)) (/.f64 -2/9 t))
-1/6
(neg.f64 (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(neg.f64 (+.f64 (/.f64 2/9 t) 1/6))
(+.f64 (/.f64 -2/9 t) -1/6)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) 1/6))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 1/27 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 2/9 t) 1/6)))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) -1/6)) (/.f64 -2/9 t))
2
(-.f64 2 (*.f64 2 t))
(+.f64 2 (*.f64 -2 t))
(+.f64 2 (*.f64 t -2))
(fma.f64 t -2 2)
(-.f64 (+.f64 2 (*.f64 2 (pow.f64 t 2))) (*.f64 2 t))
(+.f64 2 (-.f64 (*.f64 2 (*.f64 t t)) (*.f64 t 2)))
(+.f64 2 (*.f64 2 (-.f64 (*.f64 t t) t)))
(fma.f64 2 (fma.f64 t t (neg.f64 t)) 2)
(+.f64 2 (*.f64 t (fma.f64 t 2 -2)))
(-.f64 (+.f64 2 (*.f64 2 (pow.f64 t 2))) (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 2 t)))
(+.f64 2 (-.f64 (*.f64 2 (*.f64 t t)) (*.f64 2 (+.f64 (pow.f64 t 3) t))))
(+.f64 2 (*.f64 2 (-.f64 (*.f64 t t) (+.f64 t (pow.f64 t 3)))))
(fma.f64 2 (*.f64 t (-.f64 t (fma.f64 t t 1))) 2)
(*.f64 (fma.f64 t t 1) (fma.f64 t -2 2))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t))
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (*.f64 t t))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t)))) (/.f64 2 (pow.f64 t 4)))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4)))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t)) (/.f64 -2 (pow.f64 t 4))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 -2 (*.f64 t t)) (/.f64 -2 (pow.f64 t 4)))))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t))
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (*.f64 t t))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t)))) (/.f64 2 (pow.f64 t 4)))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4)))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t)) (/.f64 -2 (pow.f64 t 4))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 -2 (*.f64 t t)) (/.f64 -2 (pow.f64 t 4)))))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(+.f64 2 (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 2)
(fma.f64 t (*.f64 t 4) 2)
(-.f64 (+.f64 2 (*.f64 4 (pow.f64 t 2))) (*.f64 8 (pow.f64 t 3)))
(+.f64 2 (-.f64 (*.f64 (*.f64 t t) 4) (*.f64 (pow.f64 t 3) 8)))
(+.f64 2 (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8)))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 t (*.f64 t 4) 2))
(-.f64 (+.f64 (*.f64 12 (pow.f64 t 4)) (+.f64 2 (*.f64 4 (pow.f64 t 2)))) (*.f64 8 (pow.f64 t 3)))
(+.f64 (fma.f64 12 (pow.f64 t 4) (+.f64 2 (*.f64 (*.f64 t t) 4))) (*.f64 -8 (pow.f64 t 3)))
(+.f64 (fma.f64 (pow.f64 t 4) 12 (fma.f64 (*.f64 t t) 4 2)) (*.f64 (pow.f64 t 3) -8))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 t (*.f64 t 4) (fma.f64 (pow.f64 t 4) 12 2)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (*.f64 8 (/.f64 1 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (/.f64 8 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.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)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (*.f64 8 (/.f64 1 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (/.f64 8 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) 6) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.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)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 t)))
(+.f64 -2 (neg.f64 (*.f64 t 2)))
(+.f64 (*.f64 t -2) -2)
(fma.f64 t -2 -2)
(-.f64 (*.f64 2 (pow.f64 t 2)) (+.f64 2 (*.f64 2 t)))
(-.f64 (*.f64 2 (*.f64 t t)) (+.f64 2 (*.f64 t 2)))
(-.f64 (*.f64 2 (-.f64 (*.f64 t t) t)) 2)
(fma.f64 2 (fma.f64 t t (neg.f64 t)) -2)
(fma.f64 t (fma.f64 t 2 -2) -2)
(-.f64 (*.f64 2 (pow.f64 t 2)) (+.f64 (*.f64 2 (pow.f64 t 3)) (+.f64 2 (*.f64 2 t))))
(-.f64 (*.f64 2 (*.f64 t t)) (fma.f64 2 (pow.f64 t 3) (+.f64 2 (*.f64 t 2))))
(-.f64 (*.f64 2 (-.f64 (*.f64 t t) (+.f64 t (pow.f64 t 3)))) 2)
(fma.f64 2 (*.f64 t (-.f64 t (fma.f64 t t 1))) -2)
-4
(-.f64 (*.f64 2 (/.f64 1 t)) 4)
(+.f64 (/.f64 2 t) -4)
(-.f64 (*.f64 2 (/.f64 1 t)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 4))
(-.f64 (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))) 4)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 -2 (*.f64 t t)) -4))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 (/.f64 -2 t) t) -4))
(-.f64 (+.f64 (/.f64 2 t) -4) (/.f64 2 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 4))
(-.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (+.f64 4 (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 -2 (*.f64 t t)) -4)))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 -2 t) t) -4)))
-4
(-.f64 (*.f64 2 (/.f64 1 t)) 4)
(+.f64 (/.f64 2 t) -4)
(-.f64 (*.f64 2 (/.f64 1 t)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 4))
(-.f64 (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))) 4)
(+.f64 (/.f64 2 t) (+.f64 (/.f64 -2 (*.f64 t t)) -4))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 (/.f64 -2 t) t) -4))
(-.f64 (+.f64 (/.f64 2 t) -4) (/.f64 2 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 4))
(-.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (+.f64 4 (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 -2 (*.f64 t t)) -4)))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 -2 t) t) -4)))

prune180.0ms (6.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2021203
Fresh000
Picked011
Done000
Total2022204
Error
0b
Counts
204 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
0.0b
(+.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))) 1))
Compiler

Compiled 4599 to 4051 computations (11.9% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 2 (+.f64 1 t))
0.0b
(log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
0.0b
(/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
0.5b
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))) 1)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
t
@0
(log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
1.0ms
t
@0
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))) 1)
1.0ms
t
@inf
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))) 1)
0.0ms
t
@-inf
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))) 1)
0.0ms
t
@inf
(log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))

rewrite56.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
387×prod-diff_binary64
257×log1p-udef_binary64
153×add-sqr-sqrt_binary64
145×add-log-exp_binary64
145×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01548
133048
2396348
Stop Event
node limit
Counts
2 → 65
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))) 1)
(log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) 2) (/.f64 -1 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) (sqrt.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))) 2) (+.f64 1 (+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 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simplify32.0ms (1.2%)

Algorithm
egg-herbie
Rules
656×fma-def_binary64
246×fma-neg_binary64
242×associate-*l*_binary64
242×sub-neg_binary64
239×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058322
1168308
2432303
31216297
43917297
Stop Event
node limit
Counts
89 → 93
Calls
Call 1
Inputs
-1/2
(-.f64 (pow.f64 t 2) 1/2)
(-.f64 (pow.f64 t 2) (+.f64 (*.f64 2 (pow.f64 t 3)) 1/2))
(-.f64 (+.f64 (pow.f64 t 4) (pow.f64 t 2)) (+.f64 (*.f64 2 (pow.f64 t 3)) 1/2))
-1/6
(neg.f64 (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
-1/6
(neg.f64 (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(log.f64 1/2)
(+.f64 (log.f64 1/2) (*.f64 2 (pow.f64 t 2)))
(-.f64 (+.f64 (log.f64 1/2) (*.f64 2 (pow.f64 t 2))) (*.f64 4 (pow.f64 t 3)))
(-.f64 (+.f64 (*.f64 16 (pow.f64 t 5)) (+.f64 (log.f64 1/2) (*.f64 2 (pow.f64 t 2)))) (*.f64 4 (pow.f64 t 3)))
(log.f64 5/6)
(-.f64 (log.f64 5/6) (*.f64 4/15 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 2/225 (/.f64 1 (pow.f64 t 2))) (log.f64 5/6)) (*.f64 4/15 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 2/225 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 656/10125 (/.f64 1 (pow.f64 t 3))) (log.f64 5/6))) (*.f64 4/15 (/.f64 1 t)))
(log.f64 5/6)
(-.f64 (log.f64 5/6) (*.f64 4/15 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 2/225 (/.f64 1 (pow.f64 t 2))) (log.f64 5/6)) (*.f64 4/15 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 2/225 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 656/10125 (/.f64 1 (pow.f64 t 3))) (log.f64 5/6))) (*.f64 4/15 (/.f64 1 t)))
Outputs
-1/2
(-.f64 (pow.f64 t 2) 1/2)
(+.f64 (*.f64 t t) -1/2)
(fma.f64 t t -1/2)
(-.f64 (pow.f64 t 2) (+.f64 (*.f64 2 (pow.f64 t 3)) 1/2))
(-.f64 (*.f64 t t) (fma.f64 2 (pow.f64 t 3) 1/2))
(-.f64 (fma.f64 t t -1/2) (*.f64 2 (pow.f64 t 3)))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t -1/2))
(-.f64 (+.f64 (pow.f64 t 4) (pow.f64 t 2)) (+.f64 (*.f64 2 (pow.f64 t 3)) 1/2))
(-.f64 (+.f64 (*.f64 t t) (pow.f64 t 4)) (fma.f64 2 (pow.f64 t 3) 1/2))
(-.f64 (fma.f64 t t (pow.f64 t 4)) (fma.f64 2 (pow.f64 t 3) 1/2))
(+.f64 -1/2 (fma.f64 t t (*.f64 (pow.f64 t 3) (-.f64 t 2))))
(fma.f64 t t (fma.f64 (pow.f64 t 3) (+.f64 t -2) -1/2))
-1/6
(neg.f64 (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(+.f64 (neg.f64 (/.f64 2/9 t)) -1/6)
(+.f64 (/.f64 -2/9 t) -1/6)
(-.f64 (/.f64 -2/9 t) 1/6)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) 1/6))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 1/27 (*.f64 t t)))
(+.f64 (-.f64 (/.f64 -2/9 t) 1/6) (/.f64 1/27 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))) (+.f64 (/.f64 2/9 t) 1/6))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 -2/9 t) -1/6)))
(+.f64 (-.f64 (/.f64 -2/9 t) 1/6) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
-1/6
(neg.f64 (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(+.f64 (neg.f64 (/.f64 2/9 t)) -1/6)
(+.f64 (/.f64 -2/9 t) -1/6)
(-.f64 (/.f64 -2/9 t) 1/6)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) 1/6))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 1/27 (*.f64 t t)))
(+.f64 (-.f64 (/.f64 -2/9 t) 1/6) (/.f64 1/27 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 2/9 (/.f64 1 t)) 1/6))
(-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))) (+.f64 (/.f64 2/9 t) 1/6))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 -2/9 t) -1/6)))
(+.f64 (-.f64 (/.f64 -2/9 t) 1/6) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(log.f64 1/2)
(+.f64 (log.f64 1/2) (*.f64 2 (pow.f64 t 2)))
(+.f64 (log.f64 1/2) (*.f64 2 (*.f64 t t)))
(fma.f64 2 (*.f64 t t) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 1/2) (*.f64 2 (pow.f64 t 2))) (*.f64 4 (pow.f64 t 3)))
(+.f64 (+.f64 (log.f64 1/2) (*.f64 2 (*.f64 t t))) (*.f64 -4 (pow.f64 t 3)))
(+.f64 (fma.f64 2 (*.f64 t t) (log.f64 1/2)) (*.f64 (pow.f64 t 3) -4))
(fma.f64 (pow.f64 t 3) -4 (fma.f64 2 (*.f64 t t) (log.f64 1/2)))
(fma.f64 t (*.f64 t (+.f64 2 (*.f64 t -4))) (log.f64 1/2))
(-.f64 (+.f64 (*.f64 16 (pow.f64 t 5)) (+.f64 (log.f64 1/2) (*.f64 2 (pow.f64 t 2)))) (*.f64 4 (pow.f64 t 3)))
(+.f64 (fma.f64 16 (pow.f64 t 5) (+.f64 (log.f64 1/2) (*.f64 2 (*.f64 t t)))) (*.f64 -4 (pow.f64 t 3)))
(+.f64 (fma.f64 16 (pow.f64 t 5) (fma.f64 2 (*.f64 t t) (log.f64 1/2))) (*.f64 (pow.f64 t 3) -4))
(fma.f64 (pow.f64 t 3) -4 (fma.f64 t (*.f64 t 2) (fma.f64 16 (pow.f64 t 5) (log.f64 1/2))))
(fma.f64 t (*.f64 t (+.f64 2 (*.f64 t -4))) (fma.f64 16 (pow.f64 t 5) (log.f64 1/2)))
(log.f64 5/6)
(-.f64 (log.f64 5/6) (*.f64 4/15 (/.f64 1 t)))
(-.f64 (log.f64 5/6) (/.f64 4/15 t))
(+.f64 (log.f64 5/6) (/.f64 -4/15 t))
(-.f64 (+.f64 (*.f64 2/225 (/.f64 1 (pow.f64 t 2))) (log.f64 5/6)) (*.f64 4/15 (/.f64 1 t)))
(+.f64 (/.f64 2/225 (*.f64 t t)) (-.f64 (log.f64 5/6) (/.f64 4/15 t)))
(+.f64 (/.f64 2/225 (*.f64 t t)) (+.f64 (log.f64 5/6) (/.f64 -4/15 t)))
(-.f64 (+.f64 (*.f64 2/225 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 656/10125 (/.f64 1 (pow.f64 t 3))) (log.f64 5/6))) (*.f64 4/15 (/.f64 1 t)))
(+.f64 (/.f64 2/225 (*.f64 t t)) (-.f64 (+.f64 (log.f64 5/6) (/.f64 656/10125 (pow.f64 t 3))) (/.f64 4/15 t)))
(+.f64 (/.f64 2/225 (*.f64 t t)) (+.f64 (/.f64 656/10125 (pow.f64 t 3)) (+.f64 (log.f64 5/6) (/.f64 -4/15 t))))
(+.f64 (/.f64 2/225 (*.f64 t t)) (+.f64 (log.f64 5/6) (+.f64 (/.f64 656/10125 (pow.f64 t 3)) (/.f64 -4/15 t))))
(+.f64 (log.f64 5/6) (+.f64 (/.f64 2/225 (*.f64 t t)) (+.f64 (/.f64 656/10125 (pow.f64 t 3)) (/.f64 -4/15 t))))
(log.f64 5/6)
(-.f64 (log.f64 5/6) (*.f64 4/15 (/.f64 1 t)))
(-.f64 (log.f64 5/6) (/.f64 4/15 t))
(+.f64 (log.f64 5/6) (/.f64 -4/15 t))
(-.f64 (+.f64 (*.f64 2/225 (/.f64 1 (pow.f64 t 2))) (log.f64 5/6)) (*.f64 4/15 (/.f64 1 t)))
(+.f64 (/.f64 2/225 (*.f64 t t)) (-.f64 (log.f64 5/6) (/.f64 4/15 t)))
(+.f64 (/.f64 2/225 (*.f64 t t)) (+.f64 (log.f64 5/6) (/.f64 -4/15 t)))
(-.f64 (+.f64 (*.f64 2/225 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 656/10125 (/.f64 1 (pow.f64 t 3))) (log.f64 5/6))) (*.f64 4/15 (/.f64 1 t)))
(+.f64 (/.f64 2/225 (*.f64 t t)) (-.f64 (+.f64 (log.f64 5/6) (/.f64 656/10125 (pow.f64 t 3))) (/.f64 4/15 t)))
(+.f64 (/.f64 2/225 (*.f64 t t)) (+.f64 (/.f64 656/10125 (pow.f64 t 3)) (+.f64 (log.f64 5/6) (/.f64 -4/15 t))))
(+.f64 (/.f64 2/225 (*.f64 t t)) (+.f64 (log.f64 5/6) (+.f64 (/.f64 656/10125 (pow.f64 t 3)) (/.f64 -4/15 t))))
(+.f64 (log.f64 5/6) (+.f64 (/.f64 2/225 (*.f64 t t)) (+.f64 (/.f64 656/10125 (pow.f64 t 3)) (/.f64 -4/15 t))))

prune212.0ms (8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2070207
Fresh000
Picked011
Done011
Total2072209
Error
0b
Counts
209 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
0.0b
(+.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))) 1))
Compiler

Compiled 5384 to 4831 computations (10.3% saved)

regimes150.0ms (5.6%)

Accuracy

Total 0.0b remaining (49.3%)

Threshold costs 0.0b (49.3%)

Counts
54 → 1
Compiler

Compiled 987 to 840 computations (14.9% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01633
12333
22433
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))) 1))
Outputs
(+.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))) 1))
(+.f64 1 (+.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))) -1))
(+.f64 1 (+.f64 -1 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))))

end73.0ms (2.7%)

Stop Event
done
Compiler

Compiled 88 to 80 computations (9.1% saved)

Profiling

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