Details

Time bar (total: 7.7s)

analyze547.0ms (7.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%50%0%4
50%50%0%5
50%50%0%6
50%50%0%7
50%50%0%8
50%50%0%9
50%50%0%10
50%50%0%11
50%49.9%0%12
Compiler

Compiled 31 to 27 computations (12.9% saved)

sample1.6s (21%)

Results
1.6s8256×body256valid

preprocess72.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
716×fma-def_binary64
418×distribute-rgt-in_binary64
409×div-sub_binary64
342×times-frac_binary64
304×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01343
12341
24741
312029
434229
5134426
6471725
011
Stop Event
1×saturated
1×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)))
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify61.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
716×fma-def_binary64
418×distribute-rgt-in_binary64
409×div-sub_binary64
342×times-frac_binary64
304×distribute-lft-in_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01343
12341
24741
312029
434229
5134426
6471725
Stop Event
1×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)))
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))

eval2.0ms (0%)

Compiler

Compiled 47 to 41 computations (12.8% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
▶0.3b
(-.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))))))))
Compiler

Compiled 48 to 42 computations (12.5% saved)

localize53.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 4 (+.f64 1 t)) -8)
✓0.0b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
✓0.0b
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
✓0.0b
(/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
Compiler

Compiled 78 to 66 computations (15.4% saved)

series10.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
t
@0
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
1.0ms
t
@0
(/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
1.0ms
t
@inf
(/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
1.0ms
t
@-inf
(/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
1.0ms
t
@0
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

rewrite106.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
501×prod-diff_binary64
446×fma-def_binary64
288×log-div_binary64
276×expm1-udef_binary64
276×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01473
132573
2441073
Stop Event
1×node limit
Counts
4 → 145
Calls
Call 1
Inputs
(/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
(+.f64 (/.f64 4 (+.f64 1 t)) -8)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) 2))) (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) (sqrt.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 216 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 3))) (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 2) (-.f64 36 (/.f64 6 (/.f64 (+.f64 1 t) (+.f64 (/.f64 4 (+.f64 1 t)) -8))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 2) -36)) (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -6 (neg.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -1 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) (+.f64 (/.f64 4 (+.f64 1 t)) 8)) (/.f64 64 (+.f64 (/.f64 4 (+.f64 1 t)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 4 (+.f64 1 t)) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2) (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -512 (/.f64 64 (pow.f64 (+.f64 1 t) 3))) (/.f64 1 (+.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) (-.f64 64 (/.f64 -32 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) -64) (/.f64 1 (+.f64 (/.f64 4 (+.f64 1 t)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) (-.f64 64 (/.f64 -32 (+.f64 1 t)))) (+.f64 -512 (/.f64 64 (pow.f64 (+.f64 1 t) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) 8) (+.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) -64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -512 (/.f64 64 (pow.f64 (+.f64 1 t) 3))) (+.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) (-.f64 64 (/.f64 -32 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -512 (/.f64 64 (pow.f64 (+.f64 1 t) 3))) (+.f64 64 (-.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) (/.f64 -32 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) -64) (+.f64 (/.f64 4 (+.f64 1 t)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -512 (/.f64 64 (pow.f64 (+.f64 1 t) 3)))) (neg.f64 (+.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) (-.f64 64 (/.f64 -32 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) -64)) (neg.f64 (+.f64 (/.f64 4 (+.f64 1 t)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64 (/.f64 16 (pow.f64 (+.f64 1 t) 2))) (-.f64 -8 (/.f64 4 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 1 (+.f64 1 t)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 4 (+.f64 1 t)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (+.f64 1 t)) 1 -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (+.f64 1 t))) (cbrt.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2))) (cbrt.f64 (/.f64 4 (+.f64 1 t))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (sqrt.f64 (+.f64 1 t))) (/.f64 2 (sqrt.f64 (+.f64 1 t))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (/.f64 1 (+.f64 -1 (neg.f64 t))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 t)) 4 -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (+.f64 1 (pow.f64 t 3))) (fma.f64 t (-.f64 t 1) 1) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (-.f64 1 (*.f64 t t))) (-.f64 1 t) -8)))))

simplify65.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
716×times-frac_binary64
672×cancel-sign-sub-inv_binary64
365×fma-def_binary64
332×distribute-rgt-out_binary64
327×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
088613
1266592
2695586
31874584
44670584
Stop Event
1×node limit
Counts
193 → 200
Calls
Call 1
Inputs
-1/2
(-.f64 (pow.f64 t 2) 1/2)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 t 3)) (pow.f64 t 2)) 1/2)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 (pow.f64 t 4) (pow.f64 t 2))) 1/2)
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
-4
(-.f64 (*.f64 4 (pow.f64 t 2)) 4)
(-.f64 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) 4)
(-.f64 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))) 4)
(/.f64 -8 t)
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 8 (/.f64 1 t)))
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 20 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(/.f64 -8 t)
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 8 (/.f64 1 t)))
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 20 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
-4
(-.f64 (*.f64 -4 t) 4)
(-.f64 (+.f64 (*.f64 -4 t) (*.f64 4 (pow.f64 t 2))) 4)
(-.f64 (+.f64 (*.f64 -4 t) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) 4)
-8
(-.f64 (*.f64 4 (/.f64 1 t)) 8)
(-.f64 (*.f64 4 (/.f64 1 t)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8))
-8
(-.f64 (*.f64 4 (/.f64 1 t)) 8)
(-.f64 (*.f64 4 (/.f64 1 t)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8))
Outputs
-1/2
(-.f64 (pow.f64 t 2) 1/2)
(+.f64 (*.f64 t t) -1/2)
(fma.f64 t t -1/2)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 t 3)) (pow.f64 t 2)) 1/2)
(+.f64 (fma.f64 -2 (pow.f64 t 3) (*.f64 t t)) -1/2)
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t -1/2))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) -1/2))
(-.f64 (+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 (pow.f64 t 4) (pow.f64 t 2))) 1/2)
(+.f64 (fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) (pow.f64 t 4))) -1/2)
(+.f64 (fma.f64 -2 (pow.f64 t 3) (pow.f64 t 4)) (fma.f64 t t -1/2))
(+.f64 (fma.f64 t t -1/2) (*.f64 (pow.f64 t 3) (+.f64 -2 t)))
(+.f64 (*.f64 t t) (fma.f64 (pow.f64 t 3) (+.f64 t -2) -1/2))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1/6 (neg.f64 (/.f64 2/9 t)))
(+.f64 (/.f64 -2/9 t) -1/6)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 1/6 (/.f64 2/9 t)))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 (/.f64 1/27 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 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 1/6 (/.f64 2/9 t))))
(+.f64 (/.f64 (/.f64 1/27 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 (/.f64 1/27 t) t) (/.f64 4/81 (pow.f64 t 3))))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1/6 (neg.f64 (/.f64 2/9 t)))
(+.f64 (/.f64 -2/9 t) -1/6)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 1/6 (/.f64 2/9 t)))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 (/.f64 1/27 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 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 1/6 (/.f64 2/9 t))))
(+.f64 (/.f64 (/.f64 1/27 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 (/.f64 1/27 t) t) (/.f64 4/81 (pow.f64 t 3))))
-4
(-.f64 (*.f64 4 (pow.f64 t 2)) 4)
(fma.f64 4 (*.f64 t t) -4)
(fma.f64 (*.f64 t t) 4 -4)
(fma.f64 t (*.f64 t 4) -4)
(-.f64 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) 4)
(+.f64 (*.f64 (pow.f64 t 3) -8) (fma.f64 4 (*.f64 t t) -4))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (*.f64 t t) 4 -4))
(fma.f64 t (*.f64 t 4) (fma.f64 (pow.f64 t 3) -8 -4))
(fma.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))) -4)
(-.f64 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))) 4)
(+.f64 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 4) 12))) -4)
(+.f64 -4 (fma.f64 (pow.f64 t 3) -8 (fma.f64 (pow.f64 t 4) 12 (*.f64 t (*.f64 t 4)))))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 t (*.f64 t 4) (fma.f64 (pow.f64 t 4) 12 -4)))
(/.f64 -8 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 (/.f64 12 t) t) (/.f64 -8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(-.f64 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 20 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 20 (pow.f64 t 4))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 20 (pow.f64 t 4)) (-.f64 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 20 (pow.f64 t 4)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))) (/.f64 20 (pow.f64 t 4)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (+.f64 (/.f64 20 (pow.f64 t 4)) (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3))))
(/.f64 -8 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 (/.f64 12 t) t) (/.f64 -8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(-.f64 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 20 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 20 (pow.f64 t 4))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 20 (pow.f64 t 4)) (-.f64 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 20 (pow.f64 t 4)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))) (/.f64 20 (pow.f64 t 4)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (+.f64 (/.f64 20 (pow.f64 t 4)) (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 t t) 1/2)
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) 1/2))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (+.f64 1/2 (pow.f64 t 4)) (*.f64 t t)))
(+.f64 (fma.f64 t t (pow.f64 t 4)) (fma.f64 -2 (pow.f64 t 3) 1/2))
(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (+.f64 -2 t)))
(+.f64 1/2 (fma.f64 t t (*.f64 (pow.f64 t 3) (+.f64 t -2))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 (/.f64 1/27 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 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 (/.f64 4/81 (pow.f64 t 3)) 5/6) (/.f64 2/9 t)))
(+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 -2/9 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 -2/9 t))))
(+.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 4/81 (pow.f64 t 3))) (+.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 (+.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 (/.f64 1/27 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 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 (/.f64 4/81 (pow.f64 t 3)) 5/6) (/.f64 2/9 t)))
(+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 -2/9 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 -2/9 t))))
(+.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 4/81 (pow.f64 t 3))) (+.f64 5/6 (/.f64 -2/9 t)))
-4
(-.f64 (*.f64 -4 t) 4)
(fma.f64 -4 t -4)
(fma.f64 t -4 -4)
(-.f64 (+.f64 (*.f64 -4 t) (*.f64 4 (pow.f64 t 2))) 4)
(+.f64 (*.f64 t -4) (fma.f64 4 (*.f64 t t) -4))
(fma.f64 t -4 (fma.f64 (*.f64 t t) 4 -4))
(fma.f64 t -4 (fma.f64 t (*.f64 t 4) -4))
(fma.f64 t (+.f64 -4 (*.f64 t 4)) -4)
(-.f64 (+.f64 (*.f64 -4 t) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) 4)
(+.f64 (fma.f64 -4 t (fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))) -4)
(+.f64 (*.f64 -4 (+.f64 t (pow.f64 t 3))) (fma.f64 (*.f64 t t) 4 -4))
(fma.f64 -4 (+.f64 t (pow.f64 t 3)) (fma.f64 t (*.f64 t 4) -4))
-8
(-.f64 (*.f64 4 (/.f64 1 t)) 8)
(+.f64 (/.f64 4 t) -8)
(+.f64 -8 (/.f64 4 t))
(-.f64 (*.f64 4 (/.f64 1 t)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8))
(-.f64 (-.f64 (/.f64 4 t) (/.f64 4 (*.f64 t t))) 8)
(+.f64 (-.f64 (/.f64 4 t) (/.f64 4 (*.f64 t t))) -8)
(+.f64 -8 (+.f64 (/.f64 4 t) (/.f64 -4 (*.f64 t t))))
(-.f64 (/.f64 4 t) (+.f64 8 (/.f64 4 (*.f64 t t))))
(+.f64 -8 (+.f64 (/.f64 4 t) (/.f64 (/.f64 -4 t) t)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8))
(-.f64 (+.f64 (/.f64 4 t) (/.f64 4 (pow.f64 t 3))) (+.f64 8 (/.f64 4 (*.f64 t t))))
(+.f64 (/.f64 4 t) (-.f64 (-.f64 (/.f64 4 (pow.f64 t 3)) 8) (/.f64 4 (*.f64 t t))))
(+.f64 -8 (+.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 (/.f64 4 t) (/.f64 -4 (*.f64 t t)))))
(+.f64 (+.f64 -8 (/.f64 4 t)) (-.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 4 (*.f64 t t))))
(+.f64 -8 (+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 (/.f64 -4 t) t))))
-8
(-.f64 (*.f64 4 (/.f64 1 t)) 8)
(+.f64 (/.f64 4 t) -8)
(+.f64 -8 (/.f64 4 t))
(-.f64 (*.f64 4 (/.f64 1 t)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8))
(-.f64 (-.f64 (/.f64 4 t) (/.f64 4 (*.f64 t t))) 8)
(+.f64 (-.f64 (/.f64 4 t) (/.f64 4 (*.f64 t t))) -8)
(+.f64 -8 (+.f64 (/.f64 4 t) (/.f64 -4 (*.f64 t t))))
(-.f64 (/.f64 4 t) (+.f64 8 (/.f64 4 (*.f64 t t))))
(+.f64 -8 (+.f64 (/.f64 4 t) (/.f64 (/.f64 -4 t) t)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8))
(-.f64 (+.f64 (/.f64 4 t) (/.f64 4 (pow.f64 t 3))) (+.f64 8 (/.f64 4 (*.f64 t t))))
(+.f64 (/.f64 4 t) (-.f64 (-.f64 (/.f64 4 (pow.f64 t 3)) 8) (/.f64 4 (*.f64 t t))))
(+.f64 -8 (+.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 (/.f64 4 t) (/.f64 -4 (*.f64 t t)))))
(+.f64 (+.f64 -8 (/.f64 4 t)) (-.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 4 (*.f64 t t))))
(+.f64 -8 (+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 (/.f64 -4 t) t))))

localize66.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.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)))))))
✓0.0b
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
✓0.2b
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
✓3.3b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Compiler

Compiled 139 to 115 computations (17.3% saved)

series9.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite220.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
656×log-prod_binary64
295×fma-def_binary64
279×log-div_binary64
274×prod-diff_binary64
246×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01273
128573
2409773
Stop Event
1×node limit
Counts
4 → 150
Calls
Call 1
Inputs
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
(/.f64 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
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(+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))) 1))))))

simplify102.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
519×sub-neg_binary64
480×fma-def_binary64
413×distribute-neg-frac_binary64
411×associate-*l*_binary64
341×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090654
1277645
2781625
32318614
46848614
Stop Event
1×node limit
Counts
198 → 206
Calls
Call 1
Inputs
(*.f64 2 t)
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (+.f64 (*.f64 -2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
2
(+.f64 2 (*.f64 -2 t))
(+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(*.f64 4 (pow.f64 t 2))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
1/2
(+.f64 (*.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
(*.f64 2 t)
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (*.f64 -2 (*.f64 t t)))
(fma.f64 2 t (*.f64 t (*.f64 t -2)))
(*.f64 t (fma.f64 t -2 2))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
(fma.f64 2 t (fma.f64 -2 (*.f64 t t) (*.f64 2 (pow.f64 t 3))))
(fma.f64 2 t (fma.f64 2 (pow.f64 t 3) (*.f64 t (*.f64 t -2))))
(fma.f64 2 (pow.f64 t 3) (*.f64 t (fma.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 2 t (fma.f64 -2 (*.f64 t t) (fma.f64 2 (pow.f64 t 3) (*.f64 -2 (pow.f64 t 4)))))
(fma.f64 -2 (fma.f64 t t (pow.f64 t 4)) (*.f64 2 (+.f64 t (pow.f64 t 3))))
(*.f64 (+.f64 (*.f64 t t) 1) (*.f64 t (fma.f64 t -2 2)))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 t)))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (/.f64 -2 t)))
(+.f64 (+.f64 2 (/.f64 -2 t)) (/.f64 2 (*.f64 t 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 2 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3)))))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3)))))
(+.f64 2 (-.f64 (/.f64 -2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (*.f64 t t)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 t)))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (/.f64 -2 t)))
(+.f64 (+.f64 2 (/.f64 -2 t)) (/.f64 2 (*.f64 t 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 2 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3)))))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3)))))
(+.f64 2 (-.f64 (/.f64 -2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (*.f64 t t)))))
2
(+.f64 2 (*.f64 -2 t))
(+.f64 2 (*.f64 t -2))
(fma.f64 t -2 2)
(+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))))
(+.f64 2 (fma.f64 -2 t (*.f64 2 (*.f64 t t))))
(+.f64 2 (fma.f64 2 (*.f64 t t) (*.f64 t -2)))
(fma.f64 2 (*.f64 t t) (fma.f64 t -2 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 2 (fma.f64 -2 t (*.f64 2 (*.f64 t t)))))
(+.f64 (fma.f64 2 (*.f64 t t) (*.f64 t -2)) (fma.f64 -2 (pow.f64 t 3) 2))
(+.f64 (fma.f64 t -2 2) (*.f64 (*.f64 t t) (fma.f64 t -2 2)))
(*.f64 (+.f64 (*.f64 t t) 1) (fma.f64 t -2 2))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t))))
(-.f64 (+.f64 (/.f64 2 t) (/.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 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4)))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 -2 (pow.f64 t 4)) (/.f64 2 (*.f64 t t)))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 -2 (pow.f64 t 4)) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (*.f64 t t)))))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t))))
(-.f64 (+.f64 (/.f64 2 t) (/.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 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4)))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 -2 (pow.f64 t 4)) (/.f64 2 (*.f64 t t)))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 -2 (pow.f64 t 4)) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (*.f64 t t)))))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) 4)))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 4) 12)))
(fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) 4))))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 -16 (pow.f64 t 5) (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 4) 12))))
(fma.f64 -16 (pow.f64 t 5) (fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))
(fma.f64 -16 (pow.f64 t 5) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (+.f64 4 (/.f64 (/.f64 12 t) t)) (/.f64 -8 t))
(-.f64 (/.f64 (/.f64 12 t) t) (-.f64 (/.f64 8 t) 4))
(-.f64 4 (-.f64 (/.f64 8 t) (/.f64 (/.f64 12 t) t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(-.f64 (+.f64 4 (/.f64 (/.f64 12 t) t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
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 4 (/.f64 (/.f64 12 t) t)) (/.f64 -8 t))
(-.f64 (/.f64 (/.f64 12 t) t) (-.f64 (/.f64 8 t) 4))
(-.f64 4 (-.f64 (/.f64 8 t) (/.f64 (/.f64 12 t) t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(-.f64 (+.f64 4 (/.f64 (/.f64 12 t) t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
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))
(+.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))
(-.f64 (*.f64 2 (pow.f64 t 3)) (fma.f64 t t -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 (fma.f64 2 (pow.f64 t 3) 1/2) (fma.f64 t t (pow.f64 t 4)))
(-.f64 (*.f64 (pow.f64 t 3) (-.f64 2 t)) (fma.f64 t t -1/2))
(-.f64 1/2 (fma.f64 t t (*.f64 (pow.f64 t 3) (+.f64 t -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 (+.f64 1/6 (/.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 1/6 (+.f64 (/.f64 2/9 t) (/.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 (+.f64 1/6 (/.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 (/.f64 1/27 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)))))
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 (+.f64 1/6 (/.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 1/6 (+.f64 (/.f64 2/9 t) (/.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 (+.f64 1/6 (/.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 (/.f64 1/27 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)))))

eval703.0ms (9.2%)

Compiler

Compiled 15635 to 13596 computations (13% saved)

prune132.0ms (1.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New5188526
Fresh000
Picked011
Done011
Total51810528
Error
0b
Counts
528 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
23.2b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
▶33.7b
(-.f64 1 (+.f64 1/6 (/.f64 2/9 t)))
✓0.0b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
▶23.1b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
23.8b
1/2
28.2b
5/6
▶28.2b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)))
▶33.7b
(+.f64 5/6 (/.f64 -2/9 t))
✓0.3b
(-.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))))))))
▶28.7b
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
Compiler

Compiled 172 to 146 computations (15.1% saved)

localize26.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 65 to 44 computations (32.3% saved)

series6.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
t
@-inf
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
1.0ms
t
@inf
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
1.0ms
t
@inf
(/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))
1.0ms
t
@0
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
0.0ms
t
@-inf
(/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))

rewrite89.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
557×log-prod_binary64
456×prod-diff_binary64
313×pow2_binary64
309×fma-def_binary64
214×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01232
126626
2343526
Stop Event
1×node limit
Counts
2 → 88
Calls
Call 1
Inputs
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 t (*.f64 t (fma.f64 t -8 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t t) 4) (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 (*.f64 t t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 t t) 4) 1) (*.f64 (*.f64 -8 (pow.f64 t 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) (fma.f64 t -8 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) (fma.f64 t -8 4)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t t) 4) 3) (pow.f64 (*.f64 -8 (pow.f64 t 3)) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 t t) 4) 2) (-.f64 (pow.f64 (*.f64 -8 (pow.f64 t 3)) 2) (*.f64 (*.f64 (*.f64 t t) 4) (*.f64 -8 (pow.f64 t 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 t t) 4) 2) (pow.f64 (*.f64 -8 (pow.f64 t 3)) 2)) (-.f64 (*.f64 (*.f64 t t) 4) (*.f64 -8 (pow.f64 t 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -512 (pow.f64 t 3) 64) (*.f64 t t)) (fma.f64 (*.f64 t -8) (fma.f64 t -8 -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (*.f64 (*.f64 t t) 64)) (*.f64 t t)) (+.f64 4 (*.f64 8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) (fma.f64 -512 (pow.f64 t 3) 64)) (fma.f64 (*.f64 t -8) (fma.f64 t -8 -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) (-.f64 16 (*.f64 (*.f64 t t) 64))) (+.f64 4 (*.f64 8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t -8 4))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t -8 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t -8 4))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t -8 4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) t) (fma.f64 t -8 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 -8 (pow.f64 t 3))) (exp.f64 (*.f64 (*.f64 t t) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t -8 4))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x 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t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t t) 4) 1 (*.f64 (*.f64 -8 (pow.f64 t 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 t t) 4)) 2) (cbrt.f64 (*.f64 (*.f64 t t) 4)) (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -8 (pow.f64 t 3))) 2) (cbrt.f64 (*.f64 -8 (pow.f64 t 3))) (*.f64 (*.f64 t t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 t t) 4)) (sqrt.f64 (*.f64 (*.f64 t t) 4)) (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -8 (pow.f64 t 3))) (sqrt.f64 (*.f64 -8 (pow.f64 t 3))) (*.f64 (*.f64 t t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t (sqrt.f64 (*.f64 t -8))) (*.f64 t (sqrt.f64 (*.f64 t -8))) (*.f64 (*.f64 t t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 t -8)) t) (*.f64 (sqrt.f64 (*.f64 t -8)) t) (*.f64 (*.f64 t t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 t) t (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t -8) t) t (*.f64 (*.f64 t t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 (cbrt.f64 t) 4)) (pow.f64 (cbrt.f64 t) 2) (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t t) -8) t (*.f64 (*.f64 t t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t t) (pow.f64 (cbrt.f64 (*.f64 t -8)) 2)) (cbrt.f64 (*.f64 t -8)) (*.f64 (*.f64 t t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t t) (sqrt.f64 (*.f64 t -8))) (sqrt.f64 (*.f64 t -8)) (*.f64 (*.f64 t t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t -8) (pow.f64 (cbrt.f64 t) 4)) (pow.f64 (cbrt.f64 t) 2) (*.f64 (*.f64 t t) 4))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2)) (cbrt.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -1/2) (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (pow.f64 t 6) (pow.f64 (fma.f64 t -8 4) 3) 8)) (fma.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4))) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t -8 4))) 4))) (-.f64 2 (*.f64 t (*.f64 t (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) -2) (cbrt.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 1))))))

simplify71.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
503×fma-def_binary64
498×associate-/r*_binary64
492×unswap-sqr_binary64
491×distribute-neg-frac_binary64
308×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049372
1131353
2386344
31322323
45098323
Stop Event
1×node limit
Counts
112 → 107
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 4 (pow.f64 t 2)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(*.f64 -8 (pow.f64 t 3))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(*.f64 -8 (pow.f64 t 3))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
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 4)) (*.f64 2 (pow.f64 t 3)))))
(/.f64 -1/8 (pow.f64 t 3))
(neg.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/8 (/.f64 1 (pow.f64 t 3)))))
(neg.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4))))))
(neg.f64 (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 t 6))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))))
(/.f64 -1/8 (pow.f64 t 3))
(neg.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/8 (/.f64 1 (pow.f64 t 3)))))
(neg.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4))))))
(neg.f64 (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 t 6))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))))
Outputs
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (*.f64 t t))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3)))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3)))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3)))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 -8 (pow.f64 t 3))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3)))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3)))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3)))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 -8 (pow.f64 t 3))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3)))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3)))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))
(fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3)))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
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))
(+.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 t (*.f64 t (fma.f64 t 2 -1)) 1/2)
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 3)))))
(+.f64 (fma.f64 -1 (*.f64 t t) 1/2) (*.f64 2 (+.f64 (pow.f64 t 4) (pow.f64 t 3))))
(-.f64 (fma.f64 2 (+.f64 (pow.f64 t 3) (pow.f64 t 4)) 1/2) (*.f64 t t))
(fma.f64 t (*.f64 t (fma.f64 t 2 -1)) (fma.f64 2 (pow.f64 t 4) 1/2))
(/.f64 -1/8 (pow.f64 t 3))
(neg.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/8 (/.f64 1 (pow.f64 t 3)))))
(neg.f64 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/8 (pow.f64 t 3))))
(+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4)))
(neg.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4))))))
(neg.f64 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))))
(-.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5))))
(+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))) (/.f64 -1/32 (pow.f64 t 5)))
(+.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 5))))
(neg.f64 (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 t 6))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))) (/.f64 3/64 (pow.f64 t 6))))
(+.f64 (-.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))) (/.f64 -3/64 (pow.f64 t 6)))
(+.f64 (+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))) (/.f64 -1/32 (pow.f64 t 5))) (/.f64 -3/64 (pow.f64 t 6)))
(+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 5)))) (/.f64 -3/64 (pow.f64 t 6)))
(/.f64 -1/8 (pow.f64 t 3))
(neg.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/8 (/.f64 1 (pow.f64 t 3)))))
(neg.f64 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/8 (pow.f64 t 3))))
(+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4)))
(neg.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4))))))
(neg.f64 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))))
(-.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5))))
(+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))) (/.f64 -1/32 (pow.f64 t 5)))
(+.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 5))))
(neg.f64 (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 t 6))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))) (/.f64 3/64 (pow.f64 t 6))))
(+.f64 (-.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))) (/.f64 -3/64 (pow.f64 t 6)))
(+.f64 (+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))) (/.f64 -1/32 (pow.f64 t 5))) (/.f64 -3/64 (pow.f64 t 6)))
(+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 5)))) (/.f64 -3/64 (pow.f64 t 6)))

localize11.0ms (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)

series4.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

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

rewrite91.0ms (1.2%)

Algorithm
1×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
1×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)))))

simplify42.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01069
12069
23169
34769
46269
58069
69869
711369
812069
Stop Event
1×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))

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 20 to 16 computations (20% saved)

series27.0ms (0.4%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
23.0ms
t
@0
(+.f64 1/6 (/.f64 2/9 t))
1.0ms
t
@0
(/.f64 2/9 t)
1.0ms
t
@inf
(+.f64 1/6 (/.f64 2/9 t))
0.0ms
t
@0
(-.f64 1 (+.f64 1/6 (/.f64 2/9 t)))
0.0ms
t
@-inf
(+.f64 1/6 (/.f64 2/9 t))

rewrite101.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
965×pow1_binary64
915×add-log-exp_binary64
915×log1p-expm1-u_binary64
915×expm1-log1p-u_binary64
92×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
118518
2236518
Stop Event
1×node limit
Counts
3 → 89
Calls
Call 1
Inputs
(/.f64 2/9 t)
(+.f64 1/6 (/.f64 2/9 t))
(-.f64 1 (+.f64 1/6 (/.f64 2/9 t)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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 (/.f64 4/81 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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 7/6 (/.f64 2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/36 (-.f64 1/6 (/.f64 2/9 t))) (/.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 1/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2/9 t) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2/9 t) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2)) (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/216 (pow.f64 (/.f64 2/9 t) 3)) (/.f64 1 (+.f64 1/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/36 (/.f64 4/81 (*.f64 t t))) (/.f64 1 (-.f64 1/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t))) (+.f64 1/216 (pow.f64 (/.f64 2/9 t) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1/6 (/.f64 2/9 t)) (-.f64 1/36 (/.f64 4/81 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/216 (pow.f64 (/.f64 2/9 t) 3)) (+.f64 1/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/216 (pow.f64 (/.f64 2/9 t) 3)) (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 1/36 (/.f64 1/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/36 (/.f64 4/81 (*.f64 t t))) (-.f64 1/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/216 (pow.f64 (/.f64 2/9 t) 3))) (neg.f64 (+.f64 1/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/36 (/.f64 4/81 (*.f64 t t)))) (neg.f64 (-.f64 1/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4/81 (*.f64 t t)) 1/36) (-.f64 (/.f64 2/9 t) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2/9 t) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 t) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2/9 t) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2/9 t)) 2) (cbrt.f64 (/.f64 2/9 t)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2/9 t)) (sqrt.f64 (/.f64 2/9 t)) 1/6)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (+.f64 (/.f64 2/9 t) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (/.f64 2/9 t) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5/6 (neg.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5/6 (*.f64 -2/9 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5/6 (*.f64 -1 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5/6 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2/9 t)) 2)) (cbrt.f64 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5/6 (*.f64 (neg.f64 (sqrt.f64 (/.f64 2/9 t))) (sqrt.f64 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 5/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 5/6 (/.f64 2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 5/6 (/.f64 2/9 t))) (pow.f64 (cbrt.f64 (-.f64 5/6 (/.f64 2/9 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 5/6 (/.f64 2/9 t))) 2) (cbrt.f64 (-.f64 5/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 5/6 (/.f64 2/9 t))) (sqrt.f64 (-.f64 5/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 (/.f64 2/9 t) 1/6) (+.f64 7/6 (/.f64 2/9 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2)) (/.f64 1 (+.f64 7/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 2/9 t) 1/6) (+.f64 7/6 (/.f64 2/9 t)))) (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 7/6 (/.f64 2/9 t)) (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 2/9 t) 1/6) (+.f64 7/6 (/.f64 2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2)) (+.f64 7/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 2/9 t) 1/6) (+.f64 7/6 (/.f64 2/9 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2))) (neg.f64 (+.f64 7/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 125/216 (pow.f64 (/.f64 2/9 t) 3)) (+.f64 25/36 (+.f64 (/.f64 4/81 (*.f64 t t)) (*.f64 5/6 (/.f64 2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (+.f64 (/.f64 2/9 t) 1/6)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (+.f64 (/.f64 2/9 t) 1/6)) (neg.f64 (+.f64 (/.f64 2/9 t) 1/6))) (neg.f64 (+.f64 (/.f64 2/9 t) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25/36 (/.f64 4/81 (*.f64 t t))) (+.f64 5/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (+.f64 (/.f64 2/9 t) 1/6)) (neg.f64 (+.f64 (/.f64 2/9 t) 1/6)))) (-.f64 1 (neg.f64 (+.f64 (/.f64 2/9 t) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 5/6 (/.f64 2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 5/6 (/.f64 2/9 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 5/6 (/.f64 2/9 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 5/6 (/.f64 2/9 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 5/6 (/.f64 2/9 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 5/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 5/6 (/.f64 2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 5/6 (/.f64 2/9 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 5/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 5/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 5/6 (/.f64 2/9 t))))))))

simplify67.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
18×fma-def_binary64
11×sub-neg_binary64
7×+-commutative_binary64
5×associate-+l-_binary64
4×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013138
123138
236138
352138
467138
585138
6103138
7124138
8139138
Stop Event
1×saturated
Counts
113 → 97
Calls
Call 1
Inputs
(/.f64 2/9 t)
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (*.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 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.f64 2/9 t))
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.f64 2/9 t))
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.f64 2/9 t))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.f64 2/9 t))
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.f64 2/9 t))
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.f64 2/9 t))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.f64 2/9 t))
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.f64 2/9 t))
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.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))

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite75.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
820×pow1_binary64
771×add-log-exp_binary64
770×log1p-expm1-u_binary64
770×expm1-log1p-u_binary64
758×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11607
220557
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (-.f64 1/2 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (-.f64 1/2 (*.f64 t t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t t) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 1/2 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (*.f64 t t))) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 t t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 t t))) 2) (cbrt.f64 (+.f64 1/2 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (*.f64 t t))) (sqrt.f64 (+.f64 1/2 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (-.f64 1/2 (*.f64 t t)) 3)) (/.f64 1 (+.f64 1 (*.f64 (-.f64 1/2 (*.f64 t t)) (-.f64 3/2 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (-.f64 1/2 (*.f64 t t)) 2)) (/.f64 1 (-.f64 3/2 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (-.f64 1/2 (*.f64 t t)) (-.f64 3/2 (*.f64 t t)))) (-.f64 1 (pow.f64 (-.f64 1/2 (*.f64 t t)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 3/2 (*.f64 t t)) (-.f64 1 (pow.f64 (-.f64 1/2 (*.f64 t t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 1/2 (*.f64 t t)) 3)) (+.f64 1 (*.f64 (-.f64 1/2 (*.f64 t t)) (-.f64 3/2 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (pow.f64 t 4)) (-.f64 1/2 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 1/2 (*.f64 t t)) 2)) (-.f64 3/2 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1/2 (*.f64 t t)) 3))) (neg.f64 (+.f64 1 (*.f64 (-.f64 1/2 (*.f64 t t)) (-.f64 3/2 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1/2 (*.f64 t t)) 2))) (neg.f64 (-.f64 3/2 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (-.f64 1/2 (*.f64 t t))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (-.f64 1/2 (*.f64 t t))) (neg.f64 (-.f64 1/2 (*.f64 t t)))) (neg.f64 (-.f64 1/2 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 t 6)) (+.f64 1/4 (-.f64 (pow.f64 t 4) (*.f64 1/2 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (-.f64 1/2 (*.f64 t t))) (neg.f64 (-.f64 1/2 (*.f64 t t))))) (-.f64 1 (neg.f64 (-.f64 1/2 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (*.f64 t t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 t t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 t t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/2 (*.f64 t t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1/2 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1/2 (*.f64 t t))))))))

simplify200.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1366×sqr-pow_binary64
695×pow-sqr_binary64
617×cube-prod_binary64
610×fabs-mul_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0672
11254
22054
33154
46054
516454
658554
7145254
8163654
9182054
10202854
11232354
12271654
13319954
14376754
15445554
16529254
17569054
18597854
19625254
20632254
21635854
22729954
Stop Event
1×node limit
Counts
44 → 37
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (pow.f64 t 2))
(pow.f64 t 2)
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (pow.f64 t 2))
(pow.f64 t 2)
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (pow.f64 t 2))
Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(pow.f64 t 2)
(*.f64 t t)
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(pow.f64 t 2)
(*.f64 t t)
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)

localize22.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 30 to 25 computations (16.7% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
t
@0
(/.f64 -1 (+.f64 (/.f64 -8 t) 6))
1.0ms
t
@inf
(/.f64 -1 (+.f64 (/.f64 -8 t) 6))
1.0ms
t
@-inf
(/.f64 -1 (+.f64 (/.f64 -8 t) 6))
1.0ms
t
@0
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)))
1.0ms
t
@inf
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)))

rewrite160.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
589×unpow-prod-down_binary64
420×log-prod_binary64
293×prod-diff_binary64
271×pow2_binary64
244×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
122223
2279923
Stop Event
1×node limit
Counts
2 → 101
Calls
Call 1
Inputs
(/.f64 -1 (+.f64 (/.f64 -8 t) 6))
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 -8 t) 6))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2)) (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 -6 (neg.f64 (/.f64 -8 t))) -1/2) (pow.f64 (+.f64 -6 (neg.f64 (/.f64 -8 t))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 -8 t) 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 -512 (pow.f64 t -3) 216)) (+.f64 (pow.f64 (/.f64 -8 t) 2) (-.f64 36 (/.f64 -48 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (pow.f64 (/.f64 -8 t) 2) -36)) (+.f64 (/.f64 -8 t) -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) -2) (pow.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) -1/2) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 6))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 -1 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (fma.f64 -512 (pow.f64 t -3) 216)) 1) (+.f64 (pow.f64 (/.f64 -8 t) 2) (-.f64 36 (/.f64 -48 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (+.f64 (pow.f64 (/.f64 -8 t) 2) -36)) 1) (+.f64 (/.f64 -8 t) -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)))) 2) 3) (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)))) 3) (pow.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 1 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 6))) -1) (pow.f64 (+.f64 (/.f64 -8 t) 6) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -6 (neg.f64 (/.f64 -8 t)))) 2) -1) (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1 1/3) (/.f64 1 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2) -1) 1/3) (cbrt.f64 (/.f64 1 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2))) 1/3) (cbrt.f64 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2) (pow.f64 (+.f64 -6 (neg.f64 (/.f64 -8 t))) -1/2)) 1/3) (cbrt.f64 (pow.f64 (+.f64 -6 (neg.f64 (/.f64 -8 t))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 -8 t) 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -6 (neg.f64 (/.f64 -8 t))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -6 (neg.f64 (/.f64 -8 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -6 (neg.f64 (/.f64 -8 t))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 1 (+.f64 (/.f64 -8 t) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -6 (neg.f64 (/.f64 -8 t))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)) (sqrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 (pow.f64 (+.f64 (/.f64 -8 t) 6) -3) 1) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2) (/.f64 1 (+.f64 (/.f64 -8 t) 6))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2)) (/.f64 1 (+.f64 1 (/.f64 1 (+.f64 (/.f64 -8 t) 6)))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (/.f64 1 (+.f64 (/.f64 -8 t) 6)))) (/.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2) (+.f64 1 (/.f64 1 (+.f64 (/.f64 -8 t) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)) (sqrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 (pow.f64 (+.f64 (/.f64 -8 t) 6) -3) 1) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2) (/.f64 1 (+.f64 (/.f64 -8 t) 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 (pow.f64 (+.f64 (/.f64 -8 t) 6) -3) 1) (pow.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2) (/.f64 1 (+.f64 (/.f64 -8 t) 6))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2)) (/.f64 1 (+.f64 1 (/.f64 1 (+.f64 (/.f64 -8 t) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2)) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 1 (+.f64 (/.f64 -8 t) 6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1) (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1) 2) (sqrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1))) 2) 3) (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 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(/.f64 -8 t) 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2))) (neg.f64 (+.f64 1 (/.f64 1 (+.f64 (/.f64 -8 t) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2) 1) (-.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2) (/.f64 1 (+.f64 (/.f64 -8 t) 6)))) (fma.f64 -1 (pow.f64 (+.f64 (/.f64 -8 t) 6) -3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (/.f64 1 (+.f64 (/.f64 -8 t) 6))) (-.f64 1 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (+.f64 (/.f64 -8 t) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 -8 t) 6))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2)) (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 -8 t) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 -6 (neg.f64 (/.f64 -8 t))) -1/2) (pow.f64 (+.f64 -6 (neg.f64 (/.f64 -8 t))) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (/.f64 -8 t) 6)) -1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (fma.f64 -512 (pow.f64 t -3) 216)) (+.f64 (pow.f64 (/.f64 -8 t) 2) (-.f64 36 (/.f64 -48 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (+.f64 (pow.f64 (/.f64 -8 t) 2) -36)) (+.f64 (/.f64 -8 t) -6) 1)))))

simplify101.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
691×fma-neg_binary64
646×fma-def_binary64
606×associate-/r*_binary64
454×times-frac_binary64
426×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052305
1150291
2400289
31202274
43515274
Stop Event
1×node limit
Counts
125 → 129
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 1/8 t) (*.f64 9/128 (pow.f64 t 3))))
(+.f64 (*.f64 3/32 (pow.f64 t 2)) (+.f64 (*.f64 1/8 t) (+.f64 (*.f64 27/512 (pow.f64 t 4)) (*.f64 9/128 (pow.f64 t 3)))))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))
(neg.f64 (+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2)))))))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))
(neg.f64 (+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2)))))))
1
(+.f64 (*.f64 1/8 t) 1)
(+.f64 (*.f64 1/8 t) (+.f64 (*.f64 3/32 (pow.f64 t 2)) 1))
(+.f64 (*.f64 1/8 t) (+.f64 (*.f64 3/32 (pow.f64 t 2)) (+.f64 1 (*.f64 9/128 (pow.f64 t 3)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2)))))
(-.f64 5/6 (+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2)))))
(-.f64 5/6 (+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))
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 t (*.f64 t 3/32)))
(*.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 1/8 t) (*.f64 9/128 (pow.f64 t 3))))
(fma.f64 3/32 (*.f64 t t) (fma.f64 1/8 t (*.f64 9/128 (pow.f64 t 3))))
(fma.f64 3/32 (*.f64 t t) (fma.f64 9/128 (pow.f64 t 3) (*.f64 1/8 t)))
(fma.f64 1/8 t (*.f64 (*.f64 t t) (+.f64 (*.f64 t 9/128) 3/32)))
(*.f64 t (+.f64 1/8 (*.f64 t (fma.f64 t 9/128 3/32))))
(+.f64 (*.f64 3/32 (pow.f64 t 2)) (+.f64 (*.f64 1/8 t) (+.f64 (*.f64 27/512 (pow.f64 t 4)) (*.f64 9/128 (pow.f64 t 3)))))
(fma.f64 3/32 (*.f64 t t) (fma.f64 1/8 t (fma.f64 27/512 (pow.f64 t 4) (*.f64 9/128 (pow.f64 t 3)))))
(fma.f64 3/32 (*.f64 t t) (fma.f64 1/8 t (fma.f64 9/128 (pow.f64 t 3) (*.f64 27/512 (pow.f64 t 4)))))
(fma.f64 t (*.f64 t 3/32) (fma.f64 1/8 t (fma.f64 9/128 (pow.f64 t 3) (*.f64 27/512 (pow.f64 t 4)))))
(fma.f64 t (fma.f64 t 3/32 1/8) (*.f64 (pow.f64 t 3) (+.f64 9/128 (*.f64 t 27/512))))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (/.f64 2/9 t)))
(+.f64 (/.f64 -2/9 t) -1/6)
(neg.f64 (+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))
(neg.f64 (+.f64 1/6 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t)))))
(-.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 8/27 (*.f64 t t)))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 -8/27 (*.f64 t t)))
(+.f64 (/.f64 -2/9 t) (+.f64 -1/6 (/.f64 (/.f64 -8/27 t) t)))
(neg.f64 (+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2)))))))
(neg.f64 (+.f64 (+.f64 1/6 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t)))) (/.f64 32/81 (pow.f64 t 3))))
(-.f64 (/.f64 -32/81 (pow.f64 t 3)) (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 8/27 (*.f64 t t)))))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 -8/27 (*.f64 t t)) (/.f64 -32/81 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 -2/9 t) (+.f64 -1/6 (/.f64 (/.f64 -8/27 t) t))) (/.f64 -32/81 (pow.f64 t 3)))
(-.f64 (+.f64 (/.f64 -2/9 t) (/.f64 -8/27 (*.f64 t t))) (-.f64 1/6 (/.f64 -32/81 (pow.f64 t 3))))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (/.f64 2/9 t)))
(+.f64 (/.f64 -2/9 t) -1/6)
(neg.f64 (+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))
(neg.f64 (+.f64 1/6 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t)))))
(-.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 8/27 (*.f64 t t)))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 -8/27 (*.f64 t t)))
(+.f64 (/.f64 -2/9 t) (+.f64 -1/6 (/.f64 (/.f64 -8/27 t) t)))
(neg.f64 (+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2)))))))
(neg.f64 (+.f64 (+.f64 1/6 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t)))) (/.f64 32/81 (pow.f64 t 3))))
(-.f64 (/.f64 -32/81 (pow.f64 t 3)) (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 8/27 (*.f64 t t)))))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 -8/27 (*.f64 t t)) (/.f64 -32/81 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 -2/9 t) (+.f64 -1/6 (/.f64 (/.f64 -8/27 t) t))) (/.f64 -32/81 (pow.f64 t 3)))
(-.f64 (+.f64 (/.f64 -2/9 t) (/.f64 -8/27 (*.f64 t t))) (-.f64 1/6 (/.f64 -32/81 (pow.f64 t 3))))
1
(+.f64 (*.f64 1/8 t) 1)
(fma.f64 1/8 t 1)
(+.f64 (*.f64 1/8 t) (+.f64 (*.f64 3/32 (pow.f64 t 2)) 1))
(fma.f64 1/8 t (fma.f64 3/32 (*.f64 t t) 1))
(fma.f64 1/8 t (fma.f64 t (*.f64 t 3/32) 1))
(fma.f64 t (fma.f64 t 3/32 1/8) 1)
(+.f64 (*.f64 1/8 t) (+.f64 (*.f64 3/32 (pow.f64 t 2)) (+.f64 1 (*.f64 9/128 (pow.f64 t 3)))))
(fma.f64 1/8 t (fma.f64 3/32 (*.f64 t t) (+.f64 (*.f64 9/128 (pow.f64 t 3)) 1)))
(fma.f64 1/8 t (fma.f64 3/32 (*.f64 t t) (fma.f64 9/128 (pow.f64 t 3) 1)))
(fma.f64 1/8 t (fma.f64 t (*.f64 t 3/32) (fma.f64 9/128 (pow.f64 t 3) 1)))
(fma.f64 1/8 t (fma.f64 (*.f64 t t) (fma.f64 t 9/128 3/32) 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 5/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 8/27 (*.f64 t t)))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 8/27 (*.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 -8/27 (*.f64 t t)))
(+.f64 (/.f64 -2/9 t) (+.f64 5/6 (/.f64 (/.f64 -8/27 t) t)))
(-.f64 5/6 (+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))
(-.f64 5/6 (+.f64 (+.f64 (/.f64 32/81 (pow.f64 t 3)) (/.f64 2/9 t)) (/.f64 8/27 (*.f64 t t))))
(-.f64 (+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 8/27 (*.f64 t t)))) (/.f64 32/81 (pow.f64 t 3)))
(+.f64 (+.f64 5/6 (-.f64 (/.f64 -32/81 (pow.f64 t 3)) (/.f64 8/27 (*.f64 t t)))) (/.f64 -2/9 t))
(+.f64 (/.f64 -2/9 t) (+.f64 (/.f64 -32/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 (/.f64 -8/27 t) t))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (+.f64 (/.f64 -32/81 (pow.f64 t 3)) (/.f64 -8/27 (*.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 5/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 8/27 (*.f64 t t)))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 8/27 (*.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 -8/27 (*.f64 t t)))
(+.f64 (/.f64 -2/9 t) (+.f64 5/6 (/.f64 (/.f64 -8/27 t) t)))
(-.f64 5/6 (+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))
(-.f64 5/6 (+.f64 (+.f64 (/.f64 32/81 (pow.f64 t 3)) (/.f64 2/9 t)) (/.f64 8/27 (*.f64 t t))))
(-.f64 (+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 8/27 (*.f64 t t)))) (/.f64 32/81 (pow.f64 t 3)))
(+.f64 (+.f64 5/6 (-.f64 (/.f64 -32/81 (pow.f64 t 3)) (/.f64 8/27 (*.f64 t t)))) (/.f64 -2/9 t))
(+.f64 (/.f64 -2/9 t) (+.f64 (/.f64 -32/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 (/.f64 -8/27 t) t))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (+.f64 (/.f64 -32/81 (pow.f64 t 3)) (/.f64 -8/27 (*.f64 t t)))))

eval309.0ms (4%)

Compiler

Compiled 6330 to 5223 computations (17.5% saved)

prune303.0ms (3.9%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New4232425
Fresh123
Picked011
Done156
Total42510435
Error
0b
Counts
435 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶23.2b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
✓33.7b
(-.f64 1 (+.f64 1/6 (/.f64 2/9 t)))
✓0.0b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
✓23.1b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
23.8b
1/2
28.2b
5/6
▶28.7b
(+.f64 (*.f64 t t) 1/2)
✓28.2b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)))
✓33.7b
(+.f64 5/6 (/.f64 -2/9 t))
✓0.3b
(-.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))))))))
Compiler

Compiled 110 to 94 computations (14.5% saved)

localize9.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize29.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
✓0.7b
(/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4))))
Compiler

Compiled 40 to 30 computations (25% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite121.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
468×log-prod_binary64
359×exp-prod_binary64
320×prod-diff_binary64
265×pow2_binary64
261×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
122025
2275325
Stop Event
1×node limit
Counts
2 → 98
Calls
Call 1
Inputs
(/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 t (*.f64 t 4) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 t (*.f64 t 4) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 t (*.f64 t 4) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 (fma.f64 t (*.f64 t 4) 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 t (*.f64 t 4) 2)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 t (*.f64 t 4) 2)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 t (*.f64 t 4) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 t (*.f64 t 4) 2))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1 (fma.f64 t (*.f64 t 4) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (fma.f64 t (*.f64 t 4) 2)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (fma.f64 t (*.f64 t 4) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -1/2)) (hypot.f64 1 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -1/2)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))) (sqrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 (fma.f64 t (*.f64 t 4) 2)) (pow.f64 (fma.f64 t (*.f64 t 4) 2) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -2)) (/.f64 1 (+.f64 1 (/.f64 1 (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 1 (fma.f64 t (*.f64 t 4) 2)) (pow.f64 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(+.f64 1 (pow.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)) 2) (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)) 2)) (-.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (+.f64 (/.f64 1 (fma.f64 t (*.f64 t 4) 2)) (pow.f64 (fma.f64 t (*.f64 t 4) 2) -2))) (-.f64 1 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (/.f64 1 (fma.f64 t (*.f64 t 4) 2))) (-.f64 1 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))))) (sqrt.f64 (log1p.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -2)) (neg.f64 (/.f64 1 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -1/2) (neg.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))) 2) (cbrt.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))) (sqrt.f64 (/.f64 -1 (fma.f64 t (*.f64 t 4) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -2))) (/.f64 1 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -1/2)) (pow.f64 (fma.f64 t (*.f64 t 4) 2) -1/2) 1)))))

simplify76.0ms (1%)

Algorithm
1×egg-herbie
Rules
579×fma-def_binary64
427×distribute-neg-frac_binary64
413×unswap-sqr_binary64
385×associate-/r*_binary64
346×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054373
1152366
2395360
31127360
44646360
Stop Event
1×node limit
Counts
122 → 126
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 4))))
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 4)) (*.f64 -4 (pow.f64 t 6)))))
(/.f64 1/4 (pow.f64 t 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 8))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))))
(/.f64 1/4 (pow.f64 t 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 8))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))))
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 (*.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 4))))
(+.f64 (fma.f64 -1 (*.f64 t t) 1/2) (*.f64 2 (pow.f64 t 4)))
(-.f64 (fma.f64 2 (pow.f64 t 4) 1/2) (*.f64 t t))
(-.f64 1/2 (fma.f64 (pow.f64 t 4) -2 (*.f64 t t)))
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 4)) (*.f64 -4 (pow.f64 t 6)))))
(+.f64 (fma.f64 -1 (*.f64 t t) 1/2) (fma.f64 2 (pow.f64 t 4) (*.f64 -4 (pow.f64 t 6))))
(+.f64 (-.f64 1/2 (*.f64 t t)) (fma.f64 -4 (pow.f64 t 6) (*.f64 2 (pow.f64 t 4))))
(-.f64 (fma.f64 2 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 6) 1/2)) (*.f64 t t))
(-.f64 (fma.f64 2 (pow.f64 t 4) 1/2) (fma.f64 t t (*.f64 4 (pow.f64 t 6))))
(-.f64 1/2 (fma.f64 4 (pow.f64 t 6) (fma.f64 (pow.f64 t 4) -2 (*.f64 t t))))
(/.f64 1/4 (pow.f64 t 2))
(/.f64 1/4 (*.f64 t t))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(-.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/8 (pow.f64 t 4)))
(+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 -1/8 (pow.f64 t 4)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(+.f64 (/.f64 1/4 (*.f64 t t)) (-.f64 (/.f64 1/16 (pow.f64 t 6)) (/.f64 1/8 (pow.f64 t 4))))
(+.f64 (/.f64 1/4 (*.f64 t t)) (+.f64 (/.f64 1/16 (pow.f64 t 6)) (/.f64 -1/8 (pow.f64 t 4))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 -1/8 (pow.f64 t 4))) (/.f64 1/16 (pow.f64 t 6)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 8))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6))) (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 8))))
(+.f64 (+.f64 (/.f64 1/16 (pow.f64 t 6)) (-.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/32 (pow.f64 t 8)))) (/.f64 -1/8 (pow.f64 t 4)))
(+.f64 (/.f64 1/16 (pow.f64 t 6)) (+.f64 (/.f64 1/4 (*.f64 t t)) (+.f64 (/.f64 -1/8 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 8)))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 -1/8 (pow.f64 t 4))) (+.f64 (/.f64 1/16 (pow.f64 t 6)) (/.f64 -1/32 (pow.f64 t 8))))
(+.f64 (-.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 -1/16 (pow.f64 t 6))) (+.f64 (/.f64 -1/8 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 8))))
(/.f64 1/4 (pow.f64 t 2))
(/.f64 1/4 (*.f64 t t))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(-.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/8 (pow.f64 t 4)))
(+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 -1/8 (pow.f64 t 4)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(+.f64 (/.f64 1/4 (*.f64 t t)) (-.f64 (/.f64 1/16 (pow.f64 t 6)) (/.f64 1/8 (pow.f64 t 4))))
(+.f64 (/.f64 1/4 (*.f64 t t)) (+.f64 (/.f64 1/16 (pow.f64 t 6)) (/.f64 -1/8 (pow.f64 t 4))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 -1/8 (pow.f64 t 4))) (/.f64 1/16 (pow.f64 t 6)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))) (*.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 8))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6))) (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 8))))
(+.f64 (+.f64 (/.f64 1/16 (pow.f64 t 6)) (-.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/32 (pow.f64 t 8)))) (/.f64 -1/8 (pow.f64 t 4)))
(+.f64 (/.f64 1/16 (pow.f64 t 6)) (+.f64 (/.f64 1/4 (*.f64 t t)) (+.f64 (/.f64 -1/8 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 8)))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 -1/8 (pow.f64 t 4))) (+.f64 (/.f64 1/16 (pow.f64 t 6)) (/.f64 -1/32 (pow.f64 t 8))))
(+.f64 (-.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 -1/16 (pow.f64 t 6))) (+.f64 (/.f64 -1/8 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 8))))
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 (pow.f64 t 4) -2 (*.f64 t t)))
(fma.f64 t t (fma.f64 (pow.f64 t 4) -2 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 (pow.f64 t 4) -2 (*.f64 t t))))
(fma.f64 4 (pow.f64 t 6) (fma.f64 t t (fma.f64 (pow.f64 t 4) -2 1/2)))
(fma.f64 (pow.f64 t 4) -2 (fma.f64 4 (pow.f64 t 6) (fma.f64 t t 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 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.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 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 -1/4 (*.f64 t t))) (/.f64 1/16 (pow.f64 t 6))))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (+.f64 1 (/.f64 -1/4 (*.f64 t t))) (/.f64 -1/16 (pow.f64 t 6))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 (/.f64 -1/4 t) t) (/.f64 -1/16 (pow.f64 t 6)))))
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 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.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 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 -1/4 (*.f64 t t))) (/.f64 1/16 (pow.f64 t 6))))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (+.f64 1 (/.f64 -1/4 (*.f64 t t))) (/.f64 -1/16 (pow.f64 t 6))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 (/.f64 -1/4 t) t) (/.f64 -1/16 (pow.f64 t 6)))))

eval128.0ms (1.7%)

Compiler

Compiled 2041 to 1684 computations (17.5% saved)

prune42.0ms (0.6%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New1260126
Fresh022
Picked011
Done077
Total12610136
Error
0b
Counts
136 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓23.2b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
✓33.7b
(-.f64 1 (+.f64 1/6 (/.f64 2/9 t)))
✓0.0b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
✓23.1b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
23.8b
1/2
28.2b
5/6
✓28.7b
(+.f64 (*.f64 t t) 1/2)
✓28.2b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)))
✓33.7b
(+.f64 5/6 (/.f64 -2/9 t))
✓0.3b
(-.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))))))))
Compiler

Compiled 110 to 94 computations (14.5% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune9.0ms (0.1%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done088
Total01010
Error
0b
Counts
10 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓23.2b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
✓33.7b
(-.f64 1 (+.f64 1/6 (/.f64 2/9 t)))
✓0.0b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
✓23.1b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
23.8b
1/2
28.2b
5/6
✓28.7b
(+.f64 (*.f64 t t) 1/2)
✓28.2b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)))
✓33.7b
(+.f64 5/6 (/.f64 -2/9 t))
✓0.3b
(-.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))))))))
Compiler

Compiled 110 to 94 computations (14.5% saved)

regimes166.0ms (2.2%)

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

13 calls:

53.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
19.0ms
t
12.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
11.0ms
(/.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)))))))
10.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Results
ErrorSegmentsBranch
0.0b1t
0.0b1(-.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))))))))
0.0b1(-.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))))))))
0.0b1(/.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)))))))
0.0b1(/.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)))))))
0.0b1(+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))
0.0b1(+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))
0.0b1(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
0.0b1(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
0.0b1(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0.0b1(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0.0b1(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
0.0b1(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
Compiler

Compiled 371 to 310 computations (16.4% saved)

regimes57.0ms (0.7%)

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

1 calls:

39.0ms
t
Results
ErrorSegmentsBranch
0.1b3t
Compiler

Compiled 65 to 50 computations (23.1% saved)

bsearch121.0ms (1.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
57.0ms
0.0007913128522455004
31963455.708601642
64.0ms
-1189882512.6421301
-4.768866152158266e-5
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes76.0ms (1%)

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

1 calls:

72.0ms
t
Results
ErrorSegmentsBranch
0.2b3t
Compiler

Compiled 50 to 39 computations (22% saved)

bsearch184.0ms (2.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
64.0ms
0.0007913128522455004
31963455.708601642
120.0ms
-1189882512.6421301
-4.768866152158266e-5
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes59.0ms (0.8%)

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

1 calls:

33.0ms
t
Results
ErrorSegmentsBranch
0.2b3t
Compiler

Compiled 39 to 30 computations (23.1% saved)

bsearch201.0ms (2.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
92.0ms
0.0007913128522455004
31963455.708601642
109.0ms
-1189882512.6421301
-4.768866152158266e-5
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes14.0ms (0.2%)

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

1 calls:

12.0ms
t
Results
ErrorSegmentsBranch
0.2b3t
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch158.0ms (2.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
111.0ms
0.0007913128522455004
31963455.708601642
47.0ms
-1189882512.6421301
-4.768866152158266e-5
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes13.0ms (0.2%)

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

1 calls:

11.0ms
t
Results
ErrorSegmentsBranch
0.4b3t
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch211.0ms (2.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
126.0ms
0.0007913128522455004
31963455.708601642
85.0ms
-1189882512.6421301
-4.768866152158266e-5
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes28.0ms (0.4%)

Accuracy

Total -50.8b remaining (-8562.8%)

Threshold costs -50.8b (-8562.8%)

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

1 calls:

26.0ms
t
Results
ErrorSegmentsBranch
0.6b3t
Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch137.0ms (1.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
61.0ms
0.0007913128522455004
31963455.708601642
75.0ms
-1189882512.6421301
-4.768866152158266e-5
Compiler

Compiled 34 to 29 computations (14.7% saved)

simplify36.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
18×+-commutative_binary64
8×*-commutative_binary64
7×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054227
176227
293227
3105227
4111227
5112227
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
(if (<=.f64 t -4990728982304937/4194304) (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) (if (<=.f64 t 7298572833804943/9223372036854775808) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -4990728982304937/4194304) (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) (if (<=.f64 t 7298572833804943/9223372036854775808) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4))))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -4990728982304937/4194304) (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) (if (<=.f64 t 7298572833804943/9223372036854775808) (+.f64 (*.f64 t t) 1/2) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -4990728982304937/4194304) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7298572833804943/9223372036854775808) (+.f64 (*.f64 t t) 1/2) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -4990728982304937/4194304) 5/6 (if (<=.f64 t 7298572833804943/9223372036854775808) (+.f64 (*.f64 t t) 1/2) 5/6))
(if (<=.f64 t -4990728982304937/4194304) 5/6 (if (<=.f64 t 7298572833804943/9223372036854775808) 1/2 5/6))
5/6
Outputs
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
(if (<=.f64 t -4990728982304937/4194304) (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) (if (<=.f64 t 7298572833804943/9223372036854775808) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -4990728982304937/4194304) (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) (if (<=.f64 t 7298572833804943/9223372036854775808) (+.f64 1 (/.f64 -1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -4990728982304937/4194304) (+.f64 1 (-.f64 -1/6 (/.f64 2/9 t))) (if (<=.f64 t 7298572833804943/9223372036854775808) (+.f64 1 (/.f64 -1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -4990728982304937/4194304) (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) (if (<=.f64 t 7298572833804943/9223372036854775808) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4))))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -4990728982304937/4194304) (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) (if (<=.f64 t 7298572833804943/9223372036854775808) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 4 t))))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -4990728982304937/4194304) (+.f64 1 (-.f64 -1/6 (/.f64 2/9 t))) (if (<=.f64 t 7298572833804943/9223372036854775808) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 4 t))))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -4990728982304937/4194304) (-.f64 1 (+.f64 1/6 (/.f64 2/9 t))) (if (<=.f64 t 7298572833804943/9223372036854775808) (+.f64 (*.f64 t t) 1/2) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -4990728982304937/4194304) (+.f64 1 (-.f64 -1/6 (/.f64 2/9 t))) (if (<=.f64 t 7298572833804943/9223372036854775808) (+.f64 (*.f64 t t) 1/2) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -4990728982304937/4194304) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7298572833804943/9223372036854775808) (+.f64 (*.f64 t t) 1/2) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -4990728982304937/4194304) 5/6 (if (<=.f64 t 7298572833804943/9223372036854775808) (+.f64 (*.f64 t t) 1/2) 5/6))
(if (<=.f64 t -4990728982304937/4194304) 5/6 (if (<=.f64 t 7298572833804943/9223372036854775808) 1/2 5/6))
5/6
Compiler

Compiled 166 to 133 computations (19.9% saved)

soundness193.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
716×fma-def_binary64
418×distribute-rgt-in_binary64
409×div-sub_binary64
342×times-frac_binary64
304×distribute-lft-in_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01343
12341
24741
312029
434229
5134426
6471725
Stop Event
1×node limit
Compiler

Compiled 1749 to 1541 computations (11.9% saved)

end93.0ms (1.2%)

Compiler

Compiled 159 to 123 computations (22.6% saved)

Profiling

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