Details

Time bar (total: 6.8s)

analyze306.0ms (4.5%)

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)

sample1.4s (20.8%)

Results
1.4s8256×body256valid

preprocess61.0ms (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)

simplify51.0ms (0.7%)

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)))

eval1.0ms (0%)

Compiler

Compiled 47 to 41 computations (12.8% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
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)))
▶0b
(-.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)

localize30.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 78 to 66 computations (15.4% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite78.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
629×unpow-prod-down_binary64
419×log-prod_binary64
251×pow2_binary64
240×pow-prod-down_binary64
217×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0933
120533
2272833
Stop Event
1×node limit
Counts
3 → 172
Calls
Call 1
Inputs
(+.f64 (/.f64 4 (+.f64 1 t)) -8)
(/.f64 4 (+.f64 1 t))
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
Outputs
((#(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 (fma.f64 64 (pow.f64 (+.f64 1 t) -3) -512) (/.f64 1 (-.f64 (fma.f64 16 (pow.f64 (+.f64 1 t) -2) 64) (/.f64 -32 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 64 (pow.f64 (+.f64 1 t) -3) -512) (pow.f64 (/.f64 1 (-.f64 (fma.f64 16 (pow.f64 (+.f64 1 t) -2) 64) (/.f64 -32 (+.f64 1 t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.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 (fma.f64 16 (pow.f64 (+.f64 1 t) -2) -64) (pow.f64 (/.f64 1 (+.f64 (/.f64 4 (+.f64 1 t)) 8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (/.f64 4 (+.f64 1 t)) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8))) 2) 3) (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 16 (pow.f64 (+.f64 1 t) -2) 64) (/.f64 -32 (+.f64 1 t))) (fma.f64 64 (pow.f64 (+.f64 1 t) -3) -512)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) 8) (fma.f64 16 (pow.f64 (+.f64 1 t) -2) -64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 64 (pow.f64 (+.f64 1 t) -3) -512) (-.f64 (fma.f64 16 (pow.f64 (+.f64 1 t) -2) 64) (/.f64 -32 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 64 (pow.f64 (+.f64 1 t) -3) -512) (+.f64 64 (-.f64 (*.f64 16 (pow.f64 (+.f64 1 t) -2)) (/.f64 -32 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.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 (fma.f64 64 (pow.f64 (+.f64 1 t) -3) -512)) (neg.f64 (-.f64 (fma.f64 16 (pow.f64 (+.f64 1 t) -2) 64) (/.f64 -32 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.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) 2) 1/2)))) (#(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 pow.f64 (/.f64 (-.f64 (fma.f64 16 (pow.f64 (+.f64 1 t) -2) 64) (/.f64 -32 (+.f64 1 t))) (fma.f64 64 (pow.f64 (+.f64 1 t) -3) -512)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) 8) (fma.f64 16 (pow.f64 (+.f64 1 t) -2) -64)) -1)))) (#(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))))) 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(+.f64 (/.f64 4 (+.f64 1 t)) -8))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 t) (fma.f64 64 (pow.f64 (+.f64 1 t) -3) -512)) -1) (/.f64 1 (-.f64 (fma.f64 16 (pow.f64 (+.f64 1 t) -2) 64) (/.f64 -32 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 t) (fma.f64 16 (pow.f64 (+.f64 1 t) -2) -64)) -1) (/.f64 1 (+.f64 (/.f64 4 (+.f64 1 t)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 t) (+.f64 (/.f64 4 (+.f64 1 t)) -8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 3) (pow.f64 (+.f64 1 t) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 t) (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 (neg.f64 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 3) (pow.f64 (+.f64 1 t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (log1p.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (log1p.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (log1p.f64 t))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (log1p.f64 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (log1p.f64 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 t) (log.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8))) -1))))))

simplify57.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
853×fma-def_binary64
507×associate-/l*_binary64
309×sub-neg_binary64
287×distribute-neg-frac_binary64
263×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063512
1194505
2533496
31484476
44715476
Stop Event
1×node limit
Counts
208 → 213
Calls
Call 1
Inputs
-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))
4
(+.f64 4 (*.f64 -4 t))
(+.f64 4 (+.f64 (*.f64 -4 t) (*.f64 4 (pow.f64 t 2))))
(+.f64 4 (+.f64 (*.f64 -4 t) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))))
(/.f64 4 t)
(-.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (*.f64 4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) (*.f64 4 (/.f64 1 (pow.f64 t 4)))))
(/.f64 4 t)
(-.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (*.f64 4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) (*.f64 4 (/.f64 1 (pow.f64 t 4)))))
-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))))
Outputs
-4
(-.f64 (*.f64 -4 t) 4)
(fma.f64 -4 t -4)
(-.f64 (+.f64 (*.f64 -4 t) (*.f64 4 (pow.f64 t 2))) 4)
(+.f64 (fma.f64 -4 t (*.f64 4 (*.f64 t t))) -4)
(fma.f64 -4 t (fma.f64 4 (*.f64 t t) -4))
(fma.f64 t (fma.f64 t 4 -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 4 (*.f64 t t)))) -4)
(+.f64 (*.f64 -4 (+.f64 t (pow.f64 t 3))) (fma.f64 4 (*.f64 t t) -4))
(+.f64 -4 (fma.f64 -4 t (*.f64 (*.f64 t t) (fma.f64 -4 t 4))))
(fma.f64 -4 t (fma.f64 t (*.f64 t (fma.f64 -4 t 4)) -4))
-8
(-.f64 (*.f64 4 (/.f64 1 t)) 8)
(+.f64 (/.f64 4 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 4 t) (+.f64 8 (/.f64 4 (*.f64 t t))))
(-.f64 (-.f64 (/.f64 4 t) 8) (/.f64 (/.f64 4 t) t))
(+.f64 -8 (-.f64 (/.f64 4 t) (/.f64 (/.f64 4 t) t)))
(+.f64 -8 (+.f64 (/.f64 4 t) (/.f64 (/.f64 -4 t) t)))
(+.f64 -8 (*.f64 (/.f64 1 t) (+.f64 4 (/.f64 -4 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 4 t) (-.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 8 (/.f64 4 (*.f64 t t)))))
(+.f64 (/.f64 4 (pow.f64 t 3)) (-.f64 (-.f64 (/.f64 4 t) 8) (/.f64 (/.f64 4 t) t)))
(+.f64 -8 (+.f64 (/.f64 4 (pow.f64 t 3)) (-.f64 (/.f64 4 t) (/.f64 (/.f64 4 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 (/.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 4 t) (+.f64 8 (/.f64 4 (*.f64 t t))))
(-.f64 (-.f64 (/.f64 4 t) 8) (/.f64 (/.f64 4 t) t))
(+.f64 -8 (-.f64 (/.f64 4 t) (/.f64 (/.f64 4 t) t)))
(+.f64 -8 (+.f64 (/.f64 4 t) (/.f64 (/.f64 -4 t) t)))
(+.f64 -8 (*.f64 (/.f64 1 t) (+.f64 4 (/.f64 -4 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 4 t) (-.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 8 (/.f64 4 (*.f64 t t)))))
(+.f64 (/.f64 4 (pow.f64 t 3)) (-.f64 (-.f64 (/.f64 4 t) 8) (/.f64 (/.f64 4 t) t)))
(+.f64 -8 (+.f64 (/.f64 4 (pow.f64 t 3)) (-.f64 (/.f64 4 t) (/.f64 (/.f64 4 t) t))))
(+.f64 -8 (+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 (/.f64 -4 t) t))))
4
(+.f64 4 (*.f64 -4 t))
(+.f64 (*.f64 -4 t) 4)
(fma.f64 -4 t 4)
(+.f64 4 (+.f64 (*.f64 -4 t) (*.f64 4 (pow.f64 t 2))))
(+.f64 4 (fma.f64 -4 t (*.f64 4 (*.f64 t t))))
(+.f64 4 (fma.f64 4 (*.f64 t t) (*.f64 -4 t)))
(fma.f64 4 (*.f64 t t) (fma.f64 -4 t 4))
(fma.f64 t (fma.f64 t 4 -4) 4)
(+.f64 4 (+.f64 (*.f64 -4 t) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))))
(+.f64 4 (fma.f64 -4 t (fma.f64 -4 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))))
(+.f64 (fma.f64 -4 (pow.f64 t 3) (*.f64 t (*.f64 t 4))) (fma.f64 -4 t 4))
(+.f64 4 (fma.f64 -4 t (*.f64 (*.f64 t t) (fma.f64 -4 t 4))))
(*.f64 (fma.f64 t t 1) (fma.f64 -4 t 4))
(/.f64 4 t)
(-.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 4 t) (/.f64 4 (*.f64 t t)))
(-.f64 (/.f64 4 t) (/.f64 (/.f64 4 t) t))
(+.f64 (/.f64 4 t) (/.f64 (/.f64 -4 t) t))
(*.f64 (/.f64 1 t) (+.f64 4 (/.f64 -4 t)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (*.f64 4 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 4 t) (-.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 4 (*.f64 t t))))
(+.f64 (/.f64 4 (pow.f64 t 3)) (-.f64 (/.f64 4 t) (/.f64 (/.f64 4 t) t)))
(+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.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))) (*.f64 4 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (+.f64 (/.f64 4 t) (/.f64 4 (pow.f64 t 3))) (+.f64 (/.f64 4 (*.f64 t t)) (/.f64 4 (pow.f64 t 4))))
(+.f64 (/.f64 4 t) (-.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 4 t) t) (/.f64 4 (pow.f64 t 4)))))
(+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 (/.f64 -4 (*.f64 t t)) (/.f64 -4 (pow.f64 t 4)))))
(+.f64 (/.f64 4 t) (-.f64 (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 (/.f64 -4 t) t)) (/.f64 4 (pow.f64 t 4))))
(/.f64 4 t)
(-.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 4 t) (/.f64 4 (*.f64 t t)))
(-.f64 (/.f64 4 t) (/.f64 (/.f64 4 t) t))
(+.f64 (/.f64 4 t) (/.f64 (/.f64 -4 t) t))
(*.f64 (/.f64 1 t) (+.f64 4 (/.f64 -4 t)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (*.f64 4 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 4 t) (-.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 4 (*.f64 t t))))
(+.f64 (/.f64 4 (pow.f64 t 3)) (-.f64 (/.f64 4 t) (/.f64 (/.f64 4 t) t)))
(+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.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))) (*.f64 4 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (+.f64 (/.f64 4 t) (/.f64 4 (pow.f64 t 3))) (+.f64 (/.f64 4 (*.f64 t t)) (/.f64 4 (pow.f64 t 4))))
(+.f64 (/.f64 4 t) (-.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 4 t) t) (/.f64 4 (pow.f64 t 4)))))
(+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 (/.f64 -4 (*.f64 t t)) (/.f64 -4 (pow.f64 t 4)))))
(+.f64 (/.f64 4 t) (-.f64 (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 (/.f64 -4 t) t)) (/.f64 4 (pow.f64 t 4))))
-4
(-.f64 (*.f64 4 (pow.f64 t 2)) 4)
(fma.f64 4 (*.f64 t t) -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 4 (*.f64 t t) -4))
(fma.f64 t (*.f64 t 4) (fma.f64 (pow.f64 t 3) -8 -4))
(fma.f64 t (*.f64 t (fma.f64 t -8 4)) -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 4 (*.f64 t t) (fma.f64 (pow.f64 t 4) 12 -4)))
(fma.f64 t (*.f64 t (fma.f64 t -8 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 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 12 (*.f64 t t)) (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3)))
(+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.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 12 (*.f64 t t)) (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3))))
(+.f64 (+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))) (/.f64 20 (pow.f64 t 4)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 20 (pow.f64 t 4)) (+.f64 (/.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 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 12 (*.f64 t t)) (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3)))
(+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.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 12 (*.f64 t t)) (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3))))
(+.f64 (+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))) (/.f64 20 (pow.f64 t 4)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 20 (pow.f64 t 4)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))

localize53.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.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 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)))))
✓5.3b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Compiler

Compiled 139 to 115 computations (17.3% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite126.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
598×log-prod_binary64
332×pow2_binary64
291×fma-def_binary64
274×prod-diff_binary64
252×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01170
126170
2375870
Stop Event
1×node limit
Counts
4 → 162
Calls
Call 1
Inputs
(-.f64 2 (/.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 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
(+.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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t) (+.f64 1 (/.f64 1 t)))) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2) (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2) (*.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 4)) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (*.f64 (sqrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 3) (sqrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2)) (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2)))))

simplify89.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
429×distribute-lft-out_binary64
428×distribute-rgt-out_binary64
427×fma-def_binary64
371×sub-neg_binary64
336×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
079657
1242653
2677632
31932621
45032606
Stop Event
1×node limit
Counts
210 → 217
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))))
(*.f64 4 (pow.f64 t 2))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
2
(+.f64 2 (*.f64 -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)))))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
Outputs
(*.f64 2 t)
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (*.f64 -2 (*.f64 t t)))
(fma.f64 -2 (*.f64 t t) (*.f64 2 t))
(*.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 (pow.f64 t 3) t)))
(*.f64 (+.f64 (*.f64 t t) 1) (*.f64 t (fma.f64 t -2 2)))
(*.f64 (fma.f64 t -2 2) (+.f64 t (pow.f64 t 3)))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 t)))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t)))
(+.f64 (+.f64 2 (/.f64 -2 t)) (/.f64 2 (*.f64 t t)))
(-.f64 (+.f64 2 (*.f64 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 (+.f64 1 (/.f64 1 (*.f64 t t))) (+.f64 2 (/.f64 -2 t)))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 t)))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t)))
(+.f64 (+.f64 2 (/.f64 -2 t)) (/.f64 2 (*.f64 t t)))
(-.f64 (+.f64 2 (*.f64 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 (+.f64 1 (/.f64 1 (*.f64 t t))) (+.f64 2 (/.f64 -2 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 (pow.f64 t 3) -8 (*.f64 t (*.f64 t 4)))
(*.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 (pow.f64 t 4) 12 (*.f64 t (*.f64 t 4))))
(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 (pow.f64 t 4) 12 (*.f64 t (*.f64 t 4)))))
(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 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
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 (fma.f64 t -2 2) (*.f64 2 (*.f64 t t)))
(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)))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (fma.f64 t -2 2) (*.f64 2 (*.f64 t t))))
(+.f64 (fma.f64 t -2 2) (*.f64 t (*.f64 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 2 t) (/.f64 (/.f64 -2 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 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 (/.f64 -2 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 (pow.f64 t 3)) (-.f64 (+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t))) (/.f64 2 (pow.f64 t 4))))
(+.f64 (/.f64 2 t) (+.f64 (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (pow.f64 t 4))) (/.f64 -2 (*.f64 t t))))
(+.f64 (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (pow.f64 t 4))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 (/.f64 -2 t) t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (pow.f64 t 4)))))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 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 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 (/.f64 -2 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 (pow.f64 t 3)) (-.f64 (+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t))) (/.f64 2 (pow.f64 t 4))))
(+.f64 (/.f64 2 t) (+.f64 (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (pow.f64 t 4))) (/.f64 -2 (*.f64 t t))))
(+.f64 (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (pow.f64 t 4))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 (/.f64 -2 t) t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (pow.f64 t 4)))))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(+.f64 2 (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 2)
(fma.f64 t (*.f64 t 4) 2)
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4)))
(+.f64 2 (fma.f64 (pow.f64 t 3) -8 (*.f64 t (*.f64 t 4))))
(fma.f64 t (*.f64 t 4) (fma.f64 (pow.f64 t 3) -8 2))
(+.f64 2 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) 4))))
(+.f64 2 (fma.f64 (pow.f64 t 3) -8 (fma.f64 (pow.f64 t 4) 12 (*.f64 t (*.f64 t 4)))))
(+.f64 2 (fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))
(+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (+.f64 6 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (+.f64 6 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))

eval480.0ms (7%)

Compiler

Compiled 16647 to 14522 computations (12.8% saved)

prune116.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New5428550
Fresh000
Picked101
Done011
Total5439552
Error
0b
Counts
552 → 9
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)))
25.8b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
25.9b
(-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t))))
25.9b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
▶26.2b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 -8 (+.f64 1 t)) 6)))
▶25.6b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8)))))))
▶25.8b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 1 t)) 6)))
▶0.0b
(+.f64 1 (/.f64 -1 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t))) (-.f64 1 t)) 6)))
▶25.7b
(-.f64 1 (/.f64 1 6))
Compiler

Compiled 250 to 214 computations (14.4% saved)

localize45.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 4 (+.f64 1 t)) -8)
0.0b
(/.f64 4 (+.f64 1 t))
✓0.7b
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t)))
✓13.7b
(*.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t))) (-.f64 1 t))
Compiler

Compiled 126 to 92 computations (27% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite91.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
616×prod-diff_binary64
431×fma-def_binary64
286×log-div_binary64
258×expm1-udef_binary64
256×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01344
130335
2435335
Stop Event
1×node limit
Counts
2 → 116
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t))) (-.f64 1 t))
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t)))
Outputs
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simplify50.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
688×fma-def_binary64
588×associate-/l/_binary64
562×cancel-sign-sub-inv_binary64
342×distribute-neg-frac_binary64
278×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058395
1168389
2429387
31244381
44301381
Stop Event
1×node limit
Counts
140 → 144
Calls
Call 1
Inputs
-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))))
-4
(-.f64 (*.f64 -4 t) 4)
(-.f64 (+.f64 (*.f64 -4 t) (*.f64 -8 (pow.f64 t 3))) 4)
(-.f64 (+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 t) (*.f64 -8 (pow.f64 t 3)))) 4)
(/.f64 8 (pow.f64 t 2))
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 t 2))) (*.f64 4 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 4))) (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 4 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 4))) (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 5))) (*.f64 4 (/.f64 1 (pow.f64 t 3)))))
(/.f64 8 (pow.f64 t 2))
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 t 2))) (*.f64 4 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 4))) (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 4 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 4))) (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 5))) (*.f64 4 (/.f64 1 (pow.f64 t 3)))))
Outputs
-4
(-.f64 (*.f64 4 (pow.f64 t 2)) 4)
(fma.f64 4 (*.f64 t t) -4)
(-.f64 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) 4)
(+.f64 (*.f64 -8 (pow.f64 t 3)) (fma.f64 4 (*.f64 t t) -4))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) -4))
(fma.f64 4 (*.f64 t t) (fma.f64 -8 (pow.f64 t 3) -4))
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) -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 12 (pow.f64 t 4)))) -4)
(+.f64 (fma.f64 12 (pow.f64 t 4) (*.f64 4 (*.f64 t t))) (fma.f64 -8 (pow.f64 t 3) -4))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (fma.f64 12 (pow.f64 t 4) -4)))
(fma.f64 t (*.f64 t (fma.f64 t -8 4)) (fma.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 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 12 (*.f64 t t)) (/.f64 16 (pow.f64 t 3))) (/.f64 -8 t))
(+.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 (/.f64 12 (*.f64 t t)) (/.f64 20 (pow.f64 t 4))) (/.f64 16 (pow.f64 t 3))) (/.f64 8 t))
(+.f64 (+.f64 (/.f64 20 (pow.f64 t 4)) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 16 (pow.f64 t 3)))) (/.f64 -8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 20 (pow.f64 t 4)) (+.f64 (/.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 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 12 (*.f64 t t)) (/.f64 16 (pow.f64 t 3))) (/.f64 -8 t))
(+.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 (/.f64 12 (*.f64 t t)) (/.f64 20 (pow.f64 t 4))) (/.f64 16 (pow.f64 t 3))) (/.f64 8 t))
(+.f64 (+.f64 (/.f64 20 (pow.f64 t 4)) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 16 (pow.f64 t 3)))) (/.f64 -8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 20 (pow.f64 t 4)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
-4
(-.f64 (*.f64 -4 t) 4)
(fma.f64 -4 t -4)
(-.f64 (+.f64 (*.f64 -4 t) (*.f64 -8 (pow.f64 t 3))) 4)
(+.f64 (fma.f64 -4 t (*.f64 -8 (pow.f64 t 3))) -4)
(fma.f64 -4 t (fma.f64 -8 (pow.f64 t 3) -4))
(-.f64 (+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 t) (*.f64 -8 (pow.f64 t 3)))) 4)
(+.f64 (fma.f64 4 (pow.f64 t 4) (fma.f64 -4 t (*.f64 -8 (pow.f64 t 3)))) -4)
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 t (fma.f64 -8 (pow.f64 t 3) -4)))
(fma.f64 -4 t (fma.f64 4 (pow.f64 t 4) (fma.f64 -8 (pow.f64 t 3) -4)))
(/.f64 8 (pow.f64 t 2))
(/.f64 8 (*.f64 t t))
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 t 2))) (*.f64 4 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 8 (*.f64 t t)) (/.f64 4 (pow.f64 t 3)))
(+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -4 (pow.f64 t 3)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 4))) (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 4 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 12 (pow.f64 t 4)) (-.f64 (/.f64 8 (*.f64 t t)) (/.f64 4 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -4 (pow.f64 t 3))) (/.f64 12 (pow.f64 t 4)))
(+.f64 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 12 (pow.f64 t 4))) (/.f64 -4 (pow.f64 t 3)))
(+.f64 (/.f64 8 (*.f64 t t)) (*.f64 (/.f64 1 (pow.f64 t 3)) (+.f64 (/.f64 12 t) -4)))
(+.f64 (/.f64 8 (*.f64 t t)) (*.f64 (/.f64 1 (pow.f64 t 3)) (+.f64 -4 (/.f64 12 t))))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 4))) (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 5))) (*.f64 4 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (pow.f64 t 4)) (-.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 8 (pow.f64 t 5)))))
(+.f64 (/.f64 8 (*.f64 t t)) (-.f64 (/.f64 12 (pow.f64 t 4)) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 8 (pow.f64 t 5)))))
(+.f64 (/.f64 12 (pow.f64 t 4)) (+.f64 (/.f64 8 (*.f64 t t)) (-.f64 (/.f64 -4 (pow.f64 t 3)) (/.f64 8 (pow.f64 t 5)))))
(+.f64 (+.f64 (/.f64 8 (*.f64 t t)) (*.f64 (/.f64 1 (pow.f64 t 3)) (+.f64 (/.f64 12 t) -4))) (/.f64 -8 (pow.f64 t 5)))
(+.f64 (+.f64 (/.f64 8 (*.f64 t t)) (*.f64 (/.f64 1 (pow.f64 t 3)) (+.f64 -4 (/.f64 12 t)))) (/.f64 -8 (pow.f64 t 5)))
(/.f64 8 (pow.f64 t 2))
(/.f64 8 (*.f64 t t))
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 t 2))) (*.f64 4 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 8 (*.f64 t t)) (/.f64 4 (pow.f64 t 3)))
(+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -4 (pow.f64 t 3)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 4))) (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 4 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 12 (pow.f64 t 4)) (-.f64 (/.f64 8 (*.f64 t t)) (/.f64 4 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -4 (pow.f64 t 3))) (/.f64 12 (pow.f64 t 4)))
(+.f64 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 12 (pow.f64 t 4))) (/.f64 -4 (pow.f64 t 3)))
(+.f64 (/.f64 8 (*.f64 t t)) (*.f64 (/.f64 1 (pow.f64 t 3)) (+.f64 (/.f64 12 t) -4)))
(+.f64 (/.f64 8 (*.f64 t t)) (*.f64 (/.f64 1 (pow.f64 t 3)) (+.f64 -4 (/.f64 12 t))))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 4))) (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 5))) (*.f64 4 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (pow.f64 t 4)) (-.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 8 (pow.f64 t 5)))))
(+.f64 (/.f64 8 (*.f64 t t)) (-.f64 (/.f64 12 (pow.f64 t 4)) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 8 (pow.f64 t 5)))))
(+.f64 (/.f64 12 (pow.f64 t 4)) (+.f64 (/.f64 8 (*.f64 t t)) (-.f64 (/.f64 -4 (pow.f64 t 3)) (/.f64 8 (pow.f64 t 5)))))
(+.f64 (+.f64 (/.f64 8 (*.f64 t t)) (*.f64 (/.f64 1 (pow.f64 t 3)) (+.f64 (/.f64 12 t) -4))) (/.f64 -8 (pow.f64 t 5)))
(+.f64 (+.f64 (/.f64 8 (*.f64 t t)) (*.f64 (/.f64 1 (pow.f64 t 3)) (+.f64 -4 (/.f64 12 t)))) (/.f64 -8 (pow.f64 t 5)))

localize5.0ms (0.1%)

Compiler

Compiled 11 to 11 computations (0% saved)

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 41 to 35 computations (14.6% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite75.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
583×unpow-prod-down_binary64
423×log-prod_binary64
271×pow2_binary64
219×pow-prod-down_binary64
208×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
122230
2280030
Stop Event
1×node limit
Counts
3 → 147
Calls
Call 1
Inputs
(+.f64 (/.f64 -8 (+.f64 1 t)) 6)
(/.f64 -1 (+.f64 (/.f64 -8 (+.f64 1 t)) 6))
(/.f64 -8 (+.f64 1 t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 64 (pow.f64 (+.f64 1 t) -2)) (+.f64 (/.f64 -8 (+.f64 1 t)) -6)) (/.f64 36 (+.f64 (/.f64 -8 (+.f64 1 t)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -8 (+.f64 1 t)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6)) 2) (cbrt.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6)) (sqrt.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -512 (pow.f64 (+.f64 1 t) -3) 216) (/.f64 1 (-.f64 (fma.f64 64 (pow.f64 (+.f64 1 t) -2) 36) (/.f64 -48 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -512 (pow.f64 (+.f64 1 t) -3) 216) (pow.f64 (/.f64 1 (-.f64 (fma.f64 64 (pow.f64 (+.f64 1 t) -2) 36) (/.f64 -48 (+.f64 1 t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 64 (pow.f64 (+.f64 1 t) -2) -36) (/.f64 1 (+.f64 (/.f64 -8 (+.f64 1 t)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 64 (pow.f64 (+.f64 1 t) -2) -36) (pow.f64 (/.f64 1 (+.f64 (/.f64 -8 (+.f64 1 t)) -6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (/.f64 -8 (+.f64 1 t)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6) (cbrt.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6))) 2) 3) (cbrt.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 64 (pow.f64 (+.f64 1 t) -2) 36) (/.f64 -48 (+.f64 1 t))) (fma.f64 -512 (pow.f64 (+.f64 1 t) -3) 216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) -6) (fma.f64 64 (pow.f64 (+.f64 1 t) -2) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -512 (pow.f64 (+.f64 1 t) -3) 216) (-.f64 (fma.f64 64 (pow.f64 (+.f64 1 t) -2) 36) (/.f64 -48 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -512 (pow.f64 (+.f64 1 t) -3) 216) (+.f64 36 (-.f64 (*.f64 64 (pow.f64 (+.f64 1 t) -2)) (/.f64 -48 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 64 (pow.f64 (+.f64 1 t) -2) -36) (+.f64 (/.f64 -8 (+.f64 1 t)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -512 (pow.f64 (+.f64 1 t) -3) 216)) (neg.f64 (-.f64 (fma.f64 64 (pow.f64 (+.f64 1 t) -2) 36) (/.f64 -48 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 64 (pow.f64 (+.f64 1 t) -2) -36)) (neg.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (*.f64 64 (pow.f64 (+.f64 1 t) -2))) (-.f64 6 (/.f64 -8 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -8 (+.f64 1 t)) 6) 2) 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simplify56.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
638×associate-/l/_binary64
423×associate-/l*_binary64
369×sub-neg_binary64
337×distribute-neg-frac_binary64
292×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070471
1204449
2553445
31700438
44364438
Stop Event
1×node limit
Counts
183 → 189
Calls
Call 1
Inputs
-2
(-.f64 (*.f64 8 t) 2)
(-.f64 (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2))) 2)
(-.f64 (+.f64 (*.f64 8 (pow.f64 t 3)) (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2)))) 2)
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
1/2
(+.f64 (*.f64 2 t) 1/2)
(+.f64 (*.f64 2 t) (+.f64 1/2 (*.f64 6 (pow.f64 t 2))))
(+.f64 (*.f64 2 t) (+.f64 1/2 (+.f64 (*.f64 6 (pow.f64 t 2)) (*.f64 18 (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 2/27 (/.f64 1 (pow.f64 t 2))))))
(neg.f64 (+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (+.f64 (*.f64 2/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/81 (/.f64 1 (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 2/27 (/.f64 1 (pow.f64 t 2))))))
(neg.f64 (+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (+.f64 (*.f64 2/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/81 (/.f64 1 (pow.f64 t 3)))))))
-8
(-.f64 (*.f64 8 t) 8)
(-.f64 (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2))) 8)
(-.f64 (+.f64 (*.f64 8 (pow.f64 t 3)) (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2)))) 8)
(/.f64 -8 t)
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 t 2))) (*.f64 8 (/.f64 1 t)))
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 4))) (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(/.f64 -8 t)
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 t 2))) (*.f64 8 (/.f64 1 t)))
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 4))) (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
Outputs
-2
(-.f64 (*.f64 8 t) 2)
(fma.f64 8 t -2)
(-.f64 (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2))) 2)
(+.f64 (fma.f64 8 t (*.f64 -8 (*.f64 t t))) -2)
(fma.f64 8 t (fma.f64 -8 (*.f64 t t) -2))
(fma.f64 8 t (fma.f64 t (*.f64 t -8) -2))
(fma.f64 t (+.f64 8 (*.f64 t -8)) -2)
(-.f64 (+.f64 (*.f64 8 (pow.f64 t 3)) (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2)))) 2)
(+.f64 (fma.f64 8 (pow.f64 t 3) (fma.f64 8 t (*.f64 -8 (*.f64 t t)))) -2)
(fma.f64 8 (pow.f64 t 3) (fma.f64 8 t (fma.f64 -8 (*.f64 t t) -2)))
(+.f64 (fma.f64 8 t -2) (*.f64 (*.f64 t t) (fma.f64 8 t -8)))
(+.f64 (*.f64 t (+.f64 8 (*.f64 t (fma.f64 8 t -8)))) -2)
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (/.f64 8 (*.f64 t t))) (/.f64 8 t))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 6 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t)))
(-.f64 6 (+.f64 (/.f64 8 t) (/.f64 (/.f64 -8 t) t)))
(+.f64 6 (*.f64 (/.f64 1 t) (+.f64 (/.f64 8 t) -8)))
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(+.f64 6 (-.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3)))))
(+.f64 6 (+.f64 (-.f64 (/.f64 8 (*.f64 t t)) (/.f64 8 (pow.f64 t 3))) (/.f64 -8 t)))
(+.f64 (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 (/.f64 -8 t) t))) (/.f64 -8 (pow.f64 t 3)))
(+.f64 (*.f64 (/.f64 1 t) (+.f64 (/.f64 8 t) -8)) (-.f64 6 (/.f64 8 (pow.f64 t 3))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (/.f64 8 (*.f64 t t))) (/.f64 8 t))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 6 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t)))
(-.f64 6 (+.f64 (/.f64 8 t) (/.f64 (/.f64 -8 t) t)))
(+.f64 6 (*.f64 (/.f64 1 t) (+.f64 (/.f64 8 t) -8)))
(-.f64 (+.f64 6 (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(+.f64 6 (-.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3)))))
(+.f64 6 (+.f64 (-.f64 (/.f64 8 (*.f64 t t)) (/.f64 8 (pow.f64 t 3))) (/.f64 -8 t)))
(+.f64 (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 (/.f64 -8 t) t))) (/.f64 -8 (pow.f64 t 3)))
(+.f64 (*.f64 (/.f64 1 t) (+.f64 (/.f64 8 t) -8)) (-.f64 6 (/.f64 8 (pow.f64 t 3))))
1/2
(+.f64 (*.f64 2 t) 1/2)
(fma.f64 2 t 1/2)
(fma.f64 t 2 1/2)
(+.f64 (*.f64 2 t) (+.f64 1/2 (*.f64 6 (pow.f64 t 2))))
(+.f64 (fma.f64 2 t 1/2) (*.f64 (*.f64 t t) 6))
(fma.f64 t 2 (fma.f64 (*.f64 t t) 6 1/2))
(fma.f64 t 2 (fma.f64 t (*.f64 t 6) 1/2))
(+.f64 (*.f64 2 t) (+.f64 1/2 (+.f64 (*.f64 6 (pow.f64 t 2)) (*.f64 18 (pow.f64 t 3)))))
(+.f64 (fma.f64 2 t 1/2) (fma.f64 6 (*.f64 t t) (*.f64 (pow.f64 t 3) 18)))
(+.f64 (fma.f64 t 2 1/2) (fma.f64 (*.f64 t t) 6 (*.f64 (pow.f64 t 3) 18)))
(fma.f64 t 2 (fma.f64 t (*.f64 t 6) (fma.f64 (pow.f64 t 3) 18 1/2)))
(+.f64 1/2 (*.f64 t (+.f64 (*.f64 t (+.f64 6 (*.f64 t 18))) 2)))
(+.f64 1/2 (*.f64 t (+.f64 2 (*.f64 t (+.f64 6 (*.f64 t 18))))))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1/6 (neg.f64 (/.f64 2/9 t)))
(+.f64 -1/6 (/.f64 -2/9 t))
(-.f64 -1/6 (/.f64 2/9 t))
(neg.f64 (+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 2/27 (/.f64 1 (pow.f64 t 2))))))
(neg.f64 (+.f64 1/6 (+.f64 (/.f64 2/9 t) (/.f64 2/27 (*.f64 t t)))))
(-.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (/.f64 2/27 (*.f64 t t)))
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (/.f64 -2/27 (*.f64 t t)))
(+.f64 (-.f64 -1/6 (/.f64 2/9 t)) (/.f64 -2/27 (*.f64 t t)))
(neg.f64 (+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (+.f64 (*.f64 2/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/81 (/.f64 1 (pow.f64 t 3)))))))
(neg.f64 (+.f64 1/6 (+.f64 (/.f64 2/9 t) (+.f64 (/.f64 2/27 (*.f64 t t)) (/.f64 2/81 (pow.f64 t 3))))))
(-.f64 -1/6 (+.f64 (/.f64 2/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 2/81 (pow.f64 t 3)))))
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 (/.f64 -2/81 (pow.f64 t 3)) (/.f64 -2/27 (*.f64 t t))))
(+.f64 -1/6 (-.f64 (/.f64 -2/9 t) (-.f64 (/.f64 (/.f64 2/27 t) t) (/.f64 -2/81 (pow.f64 t 3)))))
(+.f64 (-.f64 -1/6 (/.f64 2/9 t)) (+.f64 (/.f64 -2/81 (pow.f64 t 3)) (/.f64 -2/27 (*.f64 t t))))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1/6 (neg.f64 (/.f64 2/9 t)))
(+.f64 -1/6 (/.f64 -2/9 t))
(-.f64 -1/6 (/.f64 2/9 t))
(neg.f64 (+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 2/27 (/.f64 1 (pow.f64 t 2))))))
(neg.f64 (+.f64 1/6 (+.f64 (/.f64 2/9 t) (/.f64 2/27 (*.f64 t t)))))
(-.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (/.f64 2/27 (*.f64 t t)))
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (/.f64 -2/27 (*.f64 t t)))
(+.f64 (-.f64 -1/6 (/.f64 2/9 t)) (/.f64 -2/27 (*.f64 t t)))
(neg.f64 (+.f64 1/6 (+.f64 (*.f64 2/9 (/.f64 1 t)) (+.f64 (*.f64 2/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/81 (/.f64 1 (pow.f64 t 3)))))))
(neg.f64 (+.f64 1/6 (+.f64 (/.f64 2/9 t) (+.f64 (/.f64 2/27 (*.f64 t t)) (/.f64 2/81 (pow.f64 t 3))))))
(-.f64 -1/6 (+.f64 (/.f64 2/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 2/81 (pow.f64 t 3)))))
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 (/.f64 -2/81 (pow.f64 t 3)) (/.f64 -2/27 (*.f64 t t))))
(+.f64 -1/6 (-.f64 (/.f64 -2/9 t) (-.f64 (/.f64 (/.f64 2/27 t) t) (/.f64 -2/81 (pow.f64 t 3)))))
(+.f64 (-.f64 -1/6 (/.f64 2/9 t)) (+.f64 (/.f64 -2/81 (pow.f64 t 3)) (/.f64 -2/27 (*.f64 t t))))
-8
(-.f64 (*.f64 8 t) 8)
(fma.f64 8 t -8)
(-.f64 (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2))) 8)
(+.f64 (fma.f64 8 t (*.f64 -8 (*.f64 t t))) -8)
(fma.f64 8 t (fma.f64 -8 (*.f64 t t) -8))
(fma.f64 t (+.f64 8 (*.f64 t -8)) -8)
(-.f64 (+.f64 (*.f64 8 (pow.f64 t 3)) (+.f64 (*.f64 8 t) (*.f64 -8 (pow.f64 t 2)))) 8)
(+.f64 (fma.f64 8 (pow.f64 t 3) (fma.f64 8 t (*.f64 -8 (*.f64 t t)))) -8)
(fma.f64 8 (pow.f64 t 3) (fma.f64 8 t (fma.f64 -8 (*.f64 t t) -8)))
(+.f64 -8 (fma.f64 8 t (*.f64 (*.f64 t t) (fma.f64 8 t -8))))
(*.f64 (+.f64 (*.f64 t t) 1) (fma.f64 8 t -8))
(/.f64 -8 t)
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 t 2))) (*.f64 8 (/.f64 1 t)))
(-.f64 (/.f64 8 (*.f64 t t)) (/.f64 8 t))
(+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t))
(*.f64 (/.f64 1 t) (+.f64 (/.f64 8 t) -8))
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3))))
(+.f64 (-.f64 (/.f64 8 (*.f64 t t)) (/.f64 8 (pow.f64 t 3))) (/.f64 -8 t))
(-.f64 (/.f64 -8 (pow.f64 t 3)) (+.f64 (/.f64 8 t) (/.f64 (/.f64 -8 t) t)))
(+.f64 (/.f64 8 (*.f64 t t)) (-.f64 (/.f64 -8 t) (/.f64 8 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 4))) (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 8 (pow.f64 t 4))) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3))))
(+.f64 (/.f64 8 (*.f64 t t)) (-.f64 (/.f64 8 (pow.f64 t 4)) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3)))))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 8 (pow.f64 t 4)) (+.f64 (/.f64 -8 t) (/.f64 -8 (pow.f64 t 3)))))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 8 (pow.f64 t 4)) (-.f64 (/.f64 -8 t) (/.f64 8 (pow.f64 t 3)))))
(+.f64 (*.f64 (/.f64 1 t) (+.f64 (/.f64 8 t) -8)) (*.f64 (/.f64 -1 (pow.f64 t 3)) (-.f64 8 (/.f64 8 t))))
(/.f64 -8 t)
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 t 2))) (*.f64 8 (/.f64 1 t)))
(-.f64 (/.f64 8 (*.f64 t t)) (/.f64 8 t))
(+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t))
(*.f64 (/.f64 1 t) (+.f64 (/.f64 8 t) -8))
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3))))
(+.f64 (-.f64 (/.f64 8 (*.f64 t t)) (/.f64 8 (pow.f64 t 3))) (/.f64 -8 t))
(-.f64 (/.f64 -8 (pow.f64 t 3)) (+.f64 (/.f64 8 t) (/.f64 (/.f64 -8 t) t)))
(+.f64 (/.f64 8 (*.f64 t t)) (-.f64 (/.f64 -8 t) (/.f64 8 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 4))) (*.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 8 (pow.f64 t 4))) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3))))
(+.f64 (/.f64 8 (*.f64 t t)) (-.f64 (/.f64 8 (pow.f64 t 4)) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3)))))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 8 (pow.f64 t 4)) (+.f64 (/.f64 -8 t) (/.f64 -8 (pow.f64 t 3)))))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 8 (pow.f64 t 4)) (-.f64 (/.f64 -8 t) (/.f64 8 (pow.f64 t 3)))))
(+.f64 (*.f64 (/.f64 1 t) (+.f64 (/.f64 8 t) -8)) (*.f64 (/.f64 -1 (pow.f64 t 3)) (-.f64 8 (/.f64 8 t))))

localize28.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 1 t))
✓0.0b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 1 t)) 6)))
✓0.1b
(/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 1 t)) 6))
Compiler

Compiled 66 to 54 computations (18.2% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
t
@-inf
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 1 t)) 6)))
1.0ms
t
@0
(/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 1 t)) 6))
0.0ms
t
@inf
(/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 1 t)) 6))
0.0ms
t
@0
(/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 1 t))
0.0ms
t
@inf
(/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 1 t))

rewrite87.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
501×prod-diff_binary64
431×fma-def_binary64
291×log-div_binary64
280×expm1-udef_binary64
280×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01454
132754
2445754
Stop Event
1×node limit
Counts
3 → 106
Calls
Call 1
Inputs
(/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 1 t)) 6))
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 1 t)) 6)))
(/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 1 t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1)) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1)) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1)) 6))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1)) 6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1)) 6) 2))) (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4 t) -8) (/.f64 1 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1))) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 t) -8)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 4 t) -8)) (/.f64 1 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1))) (sqrt.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 4 t) -8)) (*.f64 (sqrt.f64 (+.f64 (/.f64 4 t) -8)) (/.f64 1 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (neg.f64 (/.f64 4 t))) (/.f64 1 (fma.f64 -1 t -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 t 1)) (+.f64 (/.f64 4 t) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 t) -8)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 4 t) -8)) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 t) -8)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 t) -8)) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 t 1) 2))) (/.f64 (+.f64 (/.f64 4 t) -8) (cbrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 t) -8)) 2) (cbrt.f64 (pow.f64 (+.f64 t 1) 2))) (cbrt.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 t) -8)) (cbrt.f64 (pow.f64 (+.f64 t 1) 2))) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 t) -8)) (cbrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 t 1))) (/.f64 (+.f64 (/.f64 4 t) -8) (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 t) -8)) 2) (sqrt.f64 (+.f64 t 1))) (/.f64 (cbrt.f64 (+.f64 (/.f64 4 t) -8)) (sqrt.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 1 (pow.f64 t 3))) (fma.f64 t (-.f64 t 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (-.f64 1 (*.f64 t t))) (-.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 t 1) (+.f64 (/.f64 4 t) -8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (fma.f64 -1 t -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 (/.f64 4 t) -8)) (log1p.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (/.f64 4 t) -8)) (log1p.f64 t)) 1))))))

simplify53.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
746×fma-def_binary64
683×times-frac_binary64
501×associate-/l/_binary64
498×fma-neg_binary64
381×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
076479
1219473
2534468
31338451
43833447
Stop Event
1×node limit
Counts
142 → 148
Calls
Call 1
Inputs
(*.f64 -1/4 t)
(+.f64 (*.f64 -1/4 t) (*.f64 -3/8 (pow.f64 t 2)))
(+.f64 (*.f64 -1/4 t) (+.f64 (*.f64 -3/8 (pow.f64 t 2)) (*.f64 3/16 (pow.f64 t 3))))
(+.f64 (*.f64 -1/4 t) (+.f64 (*.f64 -3/8 (pow.f64 t 2)) (+.f64 (*.f64 21/32 (pow.f64 t 4)) (*.f64 3/16 (pow.f64 t 3)))))
-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 13/81 (/.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 13/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
1
(+.f64 (*.f64 -1/4 t) 1)
(+.f64 (*.f64 -1/4 t) (+.f64 1 (*.f64 -3/8 (pow.f64 t 2))))
(+.f64 (*.f64 -1/4 t) (+.f64 1 (+.f64 (*.f64 -3/8 (pow.f64 t 2)) (*.f64 3/16 (pow.f64 t 3)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 13/81 (/.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 13/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 4 t)
(-.f64 (*.f64 4 (/.f64 1 t)) 12)
(-.f64 (+.f64 (*.f64 12 t) (*.f64 4 (/.f64 1 t))) 12)
(-.f64 (+.f64 (*.f64 12 t) (+.f64 (*.f64 -12 (pow.f64 t 2)) (*.f64 4 (/.f64 1 t)))) 12)
(/.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 12 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 12 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 12 (/.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 12 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 12 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
Outputs
(*.f64 -1/4 t)
(+.f64 (*.f64 -1/4 t) (*.f64 -3/8 (pow.f64 t 2)))
(fma.f64 -1/4 t (*.f64 -3/8 (*.f64 t t)))
(*.f64 t (+.f64 -1/4 (*.f64 t -3/8)))
(*.f64 t (fma.f64 t -3/8 -1/4))
(+.f64 (*.f64 -1/4 t) (+.f64 (*.f64 -3/8 (pow.f64 t 2)) (*.f64 3/16 (pow.f64 t 3))))
(fma.f64 -1/4 t (fma.f64 -3/8 (*.f64 t t) (*.f64 3/16 (pow.f64 t 3))))
(fma.f64 -1/4 t (fma.f64 3/16 (pow.f64 t 3) (*.f64 -3/8 (*.f64 t t))))
(fma.f64 -1/4 t (*.f64 (*.f64 t t) (+.f64 -3/8 (*.f64 t 3/16))))
(*.f64 t (+.f64 -1/4 (*.f64 t (fma.f64 t 3/16 -3/8))))
(+.f64 (*.f64 -1/4 t) (+.f64 (*.f64 -3/8 (pow.f64 t 2)) (+.f64 (*.f64 21/32 (pow.f64 t 4)) (*.f64 3/16 (pow.f64 t 3)))))
(fma.f64 -1/4 t (fma.f64 -3/8 (*.f64 t t) (fma.f64 21/32 (pow.f64 t 4) (*.f64 3/16 (pow.f64 t 3)))))
(fma.f64 -1/4 t (fma.f64 -3/8 (*.f64 t t) (fma.f64 3/16 (pow.f64 t 3) (*.f64 21/32 (pow.f64 t 4)))))
(fma.f64 -1/4 t (fma.f64 21/32 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 -3/8 (*.f64 t 3/16)))))
(fma.f64 t (fma.f64 t -3/8 -1/4) (*.f64 (pow.f64 t 3) (+.f64 (*.f64 t 21/32) 3/16)))
(fma.f64 t (fma.f64 t -3/8 -1/4) (*.f64 (pow.f64 t 3) (+.f64 3/16 (*.f64 t 21/32))))
-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 -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 1/27 (*.f64 t t)))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 -2/9 t) (+.f64 (/.f64 1/27 (*.f64 t t)) -1/6))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 13/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 13/81 (pow.f64 t 3)) (+.f64 1/6 (/.f64 2/9 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 13/81 (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 13/81 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 -1/6 (+.f64 (/.f64 13/81 (pow.f64 t 3)) (/.f64 -2/9 t))))
-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 -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 1/27 (*.f64 t t)))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 -2/9 t) (+.f64 (/.f64 1/27 (*.f64 t t)) -1/6))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 13/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 13/81 (pow.f64 t 3)) (+.f64 1/6 (/.f64 2/9 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 13/81 (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 13/81 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 -1/6 (+.f64 (/.f64 13/81 (pow.f64 t 3)) (/.f64 -2/9 t))))
1
(+.f64 (*.f64 -1/4 t) 1)
(fma.f64 -1/4 t 1)
(+.f64 (*.f64 -1/4 t) (+.f64 1 (*.f64 -3/8 (pow.f64 t 2))))
(+.f64 (fma.f64 -1/4 t 1) (*.f64 -3/8 (*.f64 t t)))
(fma.f64 -1/4 t (fma.f64 -3/8 (*.f64 t t) 1))
(fma.f64 -1/4 t (fma.f64 t (*.f64 t -3/8) 1))
(fma.f64 t (fma.f64 t -3/8 -1/4) 1)
(+.f64 (*.f64 -1/4 t) (+.f64 1 (+.f64 (*.f64 -3/8 (pow.f64 t 2)) (*.f64 3/16 (pow.f64 t 3)))))
(+.f64 (fma.f64 -1/4 t 1) (fma.f64 -3/8 (*.f64 t t) (*.f64 3/16 (pow.f64 t 3))))
(+.f64 (fma.f64 3/16 (pow.f64 t 3) (*.f64 -3/8 (*.f64 t t))) (fma.f64 -1/4 t 1))
(fma.f64 -1/4 t (fma.f64 t (*.f64 t -3/8) (fma.f64 3/16 (pow.f64 t 3) 1)))
(fma.f64 t (*.f64 t (fma.f64 t 3/16 -3/8)) (fma.f64 -1/4 t 1))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 13/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 13/81 (pow.f64 t 3)) 5/6)) (/.f64 2/9 t))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (-.f64 (/.f64 13/81 (pow.f64 t 3)) (/.f64 2/9 t)))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (+.f64 (/.f64 13/81 (pow.f64 t 3)) (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (+.f64 (/.f64 13/81 (pow.f64 t 3)) (/.f64 -2/9 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 13/81 (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 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 13/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 13/81 (pow.f64 t 3)) 5/6)) (/.f64 2/9 t))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (-.f64 (/.f64 13/81 (pow.f64 t 3)) (/.f64 2/9 t)))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (+.f64 (/.f64 13/81 (pow.f64 t 3)) (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (+.f64 (/.f64 13/81 (pow.f64 t 3)) (/.f64 -2/9 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 13/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 -2/9 t))))
(/.f64 4 t)
(-.f64 (*.f64 4 (/.f64 1 t)) 12)
(+.f64 (/.f64 4 t) -12)
(-.f64 (+.f64 (*.f64 12 t) (*.f64 4 (/.f64 1 t))) 12)
(+.f64 (fma.f64 12 t (/.f64 4 t)) -12)
(+.f64 (fma.f64 t 12 (/.f64 4 t)) -12)
(+.f64 (/.f64 4 t) (fma.f64 t 12 -12))
(-.f64 (+.f64 (*.f64 12 t) (+.f64 (*.f64 -12 (pow.f64 t 2)) (*.f64 4 (/.f64 1 t)))) 12)
(+.f64 (fma.f64 12 t (fma.f64 -12 (*.f64 t t) (/.f64 4 t))) -12)
(+.f64 -12 (fma.f64 t 12 (fma.f64 (*.f64 t t) -12 (/.f64 4 t))))
(+.f64 (fma.f64 t 12 (/.f64 4 t)) (fma.f64 t (*.f64 t -12) -12))
(+.f64 -12 (fma.f64 t (fma.f64 t -12 12) (/.f64 4 t)))
(+.f64 (/.f64 4 t) (fma.f64 t (fma.f64 t -12 12) -12))
(/.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 12 (*.f64 t t)) (/.f64 -8 t))
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 12 (pow.f64 t 3))))
(+.f64 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 12 (pow.f64 t 3))) (/.f64 -8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -12 (pow.f64 t 3))))
(+.f64 (/.f64 -8 t) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 12 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 12 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 12 (pow.f64 t 4)) (+.f64 (/.f64 8 t) (/.f64 12 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (-.f64 (/.f64 12 (pow.f64 t 4)) (/.f64 8 t)) (/.f64 12 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 12 (pow.f64 t 4)) (+.f64 (/.f64 -8 t) (/.f64 -12 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 -8 t) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 12 (pow.f64 t 3)))) (/.f64 12 (pow.f64 t 4)))
(+.f64 (/.f64 12 (*.f64 t t)) (fma.f64 (/.f64 1 (pow.f64 t 3)) (+.f64 (/.f64 12 t) -12) (/.f64 -8 t)))
(/.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 12 (*.f64 t t)) (/.f64 -8 t))
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 12 (pow.f64 t 3))))
(+.f64 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 12 (pow.f64 t 3))) (/.f64 -8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -12 (pow.f64 t 3))))
(+.f64 (/.f64 -8 t) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 12 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 12 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 12 (pow.f64 t 4)) (+.f64 (/.f64 8 t) (/.f64 12 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (-.f64 (/.f64 12 (pow.f64 t 4)) (/.f64 8 t)) (/.f64 12 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 12 (pow.f64 t 4)) (+.f64 (/.f64 -8 t) (/.f64 -12 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 -8 t) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 12 (pow.f64 t 3)))) (/.f64 12 (pow.f64 t 4)))
(+.f64 (/.f64 12 (*.f64 t t)) (fma.f64 (/.f64 1 (pow.f64 t 3)) (+.f64 (/.f64 12 t) -12) (/.f64 -8 t)))

localize43.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8)))))))
✓0.1b
(*.f64 t (+.f64 (*.f64 t 12) -8))
✓0.1b
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8))))
✓0.4b
(/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8))))))
Compiler

Compiled 98 to 69 computations (29.6% saved)

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
t
@inf
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8))))
1.0ms
t
@inf
(/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8))))))
1.0ms
t
@0
(/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8))))))
1.0ms
t
@inf
(*.f64 t (+.f64 (*.f64 t 12) -8))
1.0ms
t
@-inf
(/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8))))))

rewrite91.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
936×prod-diff_binary64
309×expm1-udef_binary64
308×log1p-udef_binary64
187×add-sqr-sqrt_binary64
178×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01674
137464
2511464
Stop Event
1×node limit
Counts
4 → 103
Calls
Call 1
Inputs
(/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8))))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8))))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8)))))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 t 4)) (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t (*.f64 t 4)) 1) (*.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 t (*.f64 t 4)) 3) (pow.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) 3)) (+.f64 (*.f64 (*.f64 t (*.f64 t 4)) (*.f64 t (*.f64 t 4))) (-.f64 (*.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3))) (*.f64 (*.f64 t (*.f64 t 4)) (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t 4)) (*.f64 t (*.f64 t 4))) (*.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)))) (-.f64 (*.f64 t (*.f64 t 4)) (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 3)) (*.f64 t t)) (+.f64 16 (*.f64 (*.f64 t (fma.f64 t 12 -8)) (-.f64 (*.f64 t (fma.f64 t 12 -8)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 2)) (*.f64 t t)) (-.f64 4 (*.f64 t (fma.f64 t 12 -8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) (+.f64 64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 3))) (+.f64 16 (*.f64 (*.f64 t (fma.f64 t 12 -8)) (-.f64 (*.f64 t (fma.f64 t 12 -8)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) (-.f64 16 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 2))) (-.f64 4 (*.f64 t (fma.f64 t 12 -8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t (fma.f64 t 12 -8) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 t (fma.f64 t 12 -8) 4) 2) (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) t) (fma.f64 t (fma.f64 t 12 -8) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t t) 4 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 t t) (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 t 12)) (*.f64 t -8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t -8) (*.f64 t (*.f64 t 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t (*.f64 t 12)) 1) (*.f64 (*.f64 t -8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (fma.f64 t 12 -8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 t (*.f64 t 12)) 3) (pow.f64 (*.f64 t -8) 3)) (+.f64 (*.f64 (*.f64 t (*.f64 t 12)) (*.f64 t (*.f64 t 12))) (-.f64 (*.f64 (*.f64 t -8) (*.f64 t -8)) (*.f64 (*.f64 t (*.f64 t 12)) (*.f64 t -8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t 12)) (*.f64 t (*.f64 t 12))) (*.f64 (*.f64 t -8) (*.f64 t -8))) (-.f64 (*.f64 t (*.f64 t 12)) (*.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -512 (*.f64 1728 (pow.f64 t 3))) t) (+.f64 (*.f64 (*.f64 t t) 144) (-.f64 64 (*.f64 t -96))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (*.f64 t t) 144) -64) t) (fma.f64 t 12 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (+.f64 -512 (*.f64 1728 (pow.f64 t 3)))) (+.f64 (*.f64 (*.f64 t t) 144) (-.f64 64 (*.f64 t -96))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (+.f64 (*.f64 (*.f64 t t) 144) -64)) (fma.f64 t 12 8))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (fma.f64 t 12 -8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (fma.f64 t 12 -8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (fma.f64 t 12 -8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 t 12 -8)) t))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (fma.f64 t 12 -8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (fma.f64 t 12 -8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (fma.f64 t 12 -8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (fma.f64 t 12 -8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (fma.f64 t 12 -8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (*.f64 t 12) (*.f64 t -8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t 12) t (*.f64 t -8))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2)))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2)))) (sqrt.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2) -3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2) -2)) (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2) -2)) (/.f64 1 (+.f64 1 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2) -2)) (/.f64 1 (fma.f64 t 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2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)) 2))) 1))))))

simplify59.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
864×fma-def_binary64
506×unswap-sqr_binary64
446×associate-*l*_binary64
410×distribute-neg-frac_binary64
346×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068677
1181664
2458646
31481597
45898597
Stop Event
1×node limit
Counts
151 → 147
Calls
Call 1
Inputs
1/2
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2)
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (*.f64 2 (pow.f64 t 3))))
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 -1 (pow.f64 t 4)))))
(/.f64 1/12 (pow.f64 t 4))
(+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/18 (/.f64 1 (pow.f64 t 5))))
(+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6)))))
(-.f64 (+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))) (*.f64 1/81 (/.f64 1 (pow.f64 t 7))))
(/.f64 1/12 (pow.f64 t 4))
(+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/18 (/.f64 1 (pow.f64 t 5))))
(+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6)))))
(-.f64 (+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))) (*.f64 1/81 (/.f64 1 (pow.f64 t 7))))
(*.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 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(*.f64 12 (pow.f64 t 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 12 (pow.f64 t 4)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(*.f64 12 (pow.f64 t 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 12 (pow.f64 t 4)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(*.f64 -8 t)
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(*.f64 12 (pow.f64 t 2))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(*.f64 12 (pow.f64 t 2))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
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))))
1
(-.f64 1 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))))
(-.f64 1 (+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (*.f64 1/12 (/.f64 1 (pow.f64 t 4)))))
(-.f64 1 (+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))))
1
(-.f64 1 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))))
(-.f64 1 (+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (*.f64 1/12 (/.f64 1 (pow.f64 t 4)))))
(-.f64 1 (+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))))
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))
(neg.f64 (fma.f64 t t -1/2))
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (*.f64 2 (pow.f64 t 3))))
(+.f64 (fma.f64 -1 (*.f64 t t) 1/2) (*.f64 2 (pow.f64 t 3)))
(-.f64 (fma.f64 2 (pow.f64 t 3) 1/2) (*.f64 t t))
(fma.f64 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 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)))
(fma.f64 (pow.f64 t 3) (-.f64 2 t) (neg.f64 (fma.f64 t t -1/2)))
(/.f64 1/12 (pow.f64 t 4))
(+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/18 (/.f64 1 (pow.f64 t 5))))
(+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/18 (pow.f64 t 5)))
(+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6)))))
(+.f64 (/.f64 1/18 (pow.f64 t 5)) (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/108 (pow.f64 t 6))))
(+.f64 (/.f64 1/108 (pow.f64 t 6)) (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/18 (pow.f64 t 5))))
(+.f64 (/.f64 1/12 (pow.f64 t 4)) (-.f64 (/.f64 1/18 (pow.f64 t 5)) (/.f64 -1/108 (pow.f64 t 6))))
(+.f64 (/.f64 1/18 (pow.f64 t 5)) (-.f64 (/.f64 1/108 (pow.f64 t 6)) (/.f64 -1/12 (pow.f64 t 4))))
(-.f64 (+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))) (*.f64 1/81 (/.f64 1 (pow.f64 t 7))))
(+.f64 (/.f64 1/18 (pow.f64 t 5)) (-.f64 (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/108 (pow.f64 t 6))) (/.f64 1/81 (pow.f64 t 7))))
(+.f64 (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/108 (pow.f64 t 6))) (+.f64 (/.f64 1/18 (pow.f64 t 5)) (/.f64 -1/81 (pow.f64 t 7))))
(+.f64 (/.f64 1/12 (pow.f64 t 4)) (-.f64 (+.f64 (/.f64 1/18 (pow.f64 t 5)) (/.f64 1/108 (pow.f64 t 6))) (/.f64 1/81 (pow.f64 t 7))))
(+.f64 (+.f64 (/.f64 1/12 (pow.f64 t 4)) (-.f64 (/.f64 1/18 (pow.f64 t 5)) (/.f64 -1/108 (pow.f64 t 6)))) (/.f64 -1/81 (pow.f64 t 7)))
(+.f64 (-.f64 (/.f64 1/108 (pow.f64 t 6)) (/.f64 -1/12 (pow.f64 t 4))) (+.f64 (/.f64 1/18 (pow.f64 t 5)) (/.f64 -1/81 (pow.f64 t 7))))
(/.f64 1/12 (pow.f64 t 4))
(+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/18 (/.f64 1 (pow.f64 t 5))))
(+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/18 (pow.f64 t 5)))
(+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6)))))
(+.f64 (/.f64 1/18 (pow.f64 t 5)) (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/108 (pow.f64 t 6))))
(+.f64 (/.f64 1/108 (pow.f64 t 6)) (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/18 (pow.f64 t 5))))
(+.f64 (/.f64 1/12 (pow.f64 t 4)) (-.f64 (/.f64 1/18 (pow.f64 t 5)) (/.f64 -1/108 (pow.f64 t 6))))
(+.f64 (/.f64 1/18 (pow.f64 t 5)) (-.f64 (/.f64 1/108 (pow.f64 t 6)) (/.f64 -1/12 (pow.f64 t 4))))
(-.f64 (+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))) (*.f64 1/81 (/.f64 1 (pow.f64 t 7))))
(+.f64 (/.f64 1/18 (pow.f64 t 5)) (-.f64 (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/108 (pow.f64 t 6))) (/.f64 1/81 (pow.f64 t 7))))
(+.f64 (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/108 (pow.f64 t 6))) (+.f64 (/.f64 1/18 (pow.f64 t 5)) (/.f64 -1/81 (pow.f64 t 7))))
(+.f64 (/.f64 1/12 (pow.f64 t 4)) (-.f64 (+.f64 (/.f64 1/18 (pow.f64 t 5)) (/.f64 1/108 (pow.f64 t 6))) (/.f64 1/81 (pow.f64 t 7))))
(+.f64 (+.f64 (/.f64 1/12 (pow.f64 t 4)) (-.f64 (/.f64 1/18 (pow.f64 t 5)) (/.f64 -1/108 (pow.f64 t 6)))) (/.f64 -1/81 (pow.f64 t 7)))
(+.f64 (-.f64 (/.f64 1/108 (pow.f64 t 6)) (/.f64 -1/12 (pow.f64 t 4))) (+.f64 (/.f64 1/18 (pow.f64 t 5)) (/.f64 -1/81 (pow.f64 t 7))))
(*.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 (pow.f64 t 3) -8 (*.f64 (*.f64 t t) 4))
(*.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 (*.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 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) 4)))
(fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -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 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) 4)))
(fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(*.f64 12 (pow.f64 t 4))
(*.f64 (pow.f64 t 4) 12)
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 12 (pow.f64 t 4)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (pow.f64 t 4) 12))
(fma.f64 (pow.f64 t 3) -8 (*.f64 (pow.f64 t 4) 12))
(*.f64 (pow.f64 t 3) (fma.f64 t 12 -8))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(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 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) 4)))
(fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(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 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) 4)))
(fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(*.f64 12 (pow.f64 t 4))
(*.f64 (pow.f64 t 4) 12)
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 12 (pow.f64 t 4)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (pow.f64 t 4) 12))
(fma.f64 (pow.f64 t 3) -8 (*.f64 (pow.f64 t 4) 12))
(*.f64 (pow.f64 t 3) (fma.f64 t 12 -8))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(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 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) 4)))
(fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(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 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) 4)))
(fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(*.f64 -8 t)
(*.f64 t -8)
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (*.f64 (*.f64 t t) 12))
(fma.f64 t -8 (*.f64 (*.f64 t t) 12))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (*.f64 (*.f64 t t) 12))
(fma.f64 t -8 (*.f64 (*.f64 t t) 12))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (*.f64 (*.f64 t t) 12))
(fma.f64 t -8 (*.f64 (*.f64 t t) 12))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(*.f64 t (fma.f64 t 12 -8))
(*.f64 12 (pow.f64 t 2))
(*.f64 (*.f64 t t) 12)
(*.f64 t (*.f64 t 12))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (*.f64 (*.f64 t t) 12))
(fma.f64 t -8 (*.f64 (*.f64 t t) 12))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (*.f64 (*.f64 t t) 12))
(fma.f64 t -8 (*.f64 (*.f64 t t) 12))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (*.f64 (*.f64 t t) 12))
(fma.f64 t -8 (*.f64 (*.f64 t t) 12))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(*.f64 t (fma.f64 t 12 -8))
(*.f64 12 (pow.f64 t 2))
(*.f64 (*.f64 t t) 12)
(*.f64 t (*.f64 t 12))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (*.f64 (*.f64 t t) 12))
(fma.f64 t -8 (*.f64 (*.f64 t t) 12))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (*.f64 (*.f64 t t) 12))
(fma.f64 t -8 (*.f64 (*.f64 t t) 12))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (*.f64 -8 t) (*.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (*.f64 (*.f64 t t) 12))
(fma.f64 t -8 (*.f64 (*.f64 t t) 12))
(*.f64 t (+.f64 (*.f64 t 12) -8))
(*.f64 t (fma.f64 t 12 -8))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (*.f64 t t)))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 (pow.f64 t 3) -2 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4))))
(+.f64 (fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2)) (pow.f64 t 4))
(fma.f64 (pow.f64 t 3) -2 (+.f64 1/2 (fma.f64 t t (pow.f64 t 4))))
(fma.f64 (*.f64 t t) (fma.f64 t -2 (fma.f64 t t 1)) 1/2)
1
(-.f64 1 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))))
(-.f64 1 (/.f64 1/12 (pow.f64 t 4)))
(+.f64 1 (/.f64 -1/12 (pow.f64 t 4)))
(-.f64 1 (+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (*.f64 1/12 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (-.f64 1 (/.f64 1/18 (pow.f64 t 5))) (/.f64 1/12 (pow.f64 t 4)))
(+.f64 (-.f64 1 (/.f64 1/18 (pow.f64 t 5))) (/.f64 -1/12 (pow.f64 t 4)))
(+.f64 (+.f64 1 (/.f64 -1/12 (pow.f64 t 4))) (/.f64 -1/18 (pow.f64 t 5)))
(+.f64 (/.f64 -1/12 (pow.f64 t 4)) (+.f64 1 (/.f64 -1/18 (pow.f64 t 5))))
(-.f64 1 (+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))))
(-.f64 1 (+.f64 (/.f64 1/18 (pow.f64 t 5)) (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/108 (pow.f64 t 6)))))
(-.f64 1 (+.f64 (/.f64 1/108 (pow.f64 t 6)) (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/18 (pow.f64 t 5)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 -1/12 (pow.f64 t 4)) (/.f64 -1/108 (pow.f64 t 6))) (/.f64 -1/18 (pow.f64 t 5))))
(+.f64 1 (+.f64 (/.f64 -1/12 (pow.f64 t 4)) (+.f64 (/.f64 -1/18 (pow.f64 t 5)) (/.f64 -1/108 (pow.f64 t 6)))))
1
(-.f64 1 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))))
(-.f64 1 (/.f64 1/12 (pow.f64 t 4)))
(+.f64 1 (/.f64 -1/12 (pow.f64 t 4)))
(-.f64 1 (+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (*.f64 1/12 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (-.f64 1 (/.f64 1/18 (pow.f64 t 5))) (/.f64 1/12 (pow.f64 t 4)))
(+.f64 (-.f64 1 (/.f64 1/18 (pow.f64 t 5))) (/.f64 -1/12 (pow.f64 t 4)))
(+.f64 (+.f64 1 (/.f64 -1/12 (pow.f64 t 4))) (/.f64 -1/18 (pow.f64 t 5)))
(+.f64 (/.f64 -1/12 (pow.f64 t 4)) (+.f64 1 (/.f64 -1/18 (pow.f64 t 5))))
(-.f64 1 (+.f64 (*.f64 1/18 (/.f64 1 (pow.f64 t 5))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 t 4))) (*.f64 1/108 (/.f64 1 (pow.f64 t 6))))))
(-.f64 1 (+.f64 (/.f64 1/18 (pow.f64 t 5)) (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/108 (pow.f64 t 6)))))
(-.f64 1 (+.f64 (/.f64 1/108 (pow.f64 t 6)) (+.f64 (/.f64 1/12 (pow.f64 t 4)) (/.f64 1/18 (pow.f64 t 5)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 -1/12 (pow.f64 t 4)) (/.f64 -1/108 (pow.f64 t 6))) (/.f64 -1/18 (pow.f64 t 5))))
(+.f64 1 (+.f64 (/.f64 -1/12 (pow.f64 t 4)) (+.f64 (/.f64 -1/18 (pow.f64 t 5)) (/.f64 -1/108 (pow.f64 t 6)))))

eval383.0ms (5.6%)

Compiler

Compiled 18075 to 14867 computations (17.7% saved)

prune169.0ms (2.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New7495754
Fresh213
Picked011
Done325
Total7549763
Error
0b
Counts
763 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.8b
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 -2/9 t))
✓0.0b
(+.f64 1 (/.f64 -1 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t))) (-.f64 1 t)) 6)))
25.7b
5/6
▶26.5b
(-.f64 1 1/2)
▶25.8b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
✓25.6b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8)))))))
✓0.0b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
▶25.9b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
▶30.6b
(+.f64 5/6 (/.f64 -2/9 t))
Compiler

Compiled 164 to 136 computations (17.1% saved)

localize23.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
✓0.1b
(/.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
3 → 36
Calls

9 calls:

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

rewrite116.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
631×log-prod_binary64
623×prod-diff_binary64
377×fma-def_binary64
242×expm1-udef_binary64
241×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01354
129644
2393744
Stop Event
1×node limit
Counts
3 → 127
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)))))
(-.f64 1 (/.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 t (*.f64 t 4)) (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t (*.f64 t 4)) 1) (*.f64 (*.f64 -8 (pow.f64 t 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) (fma.f64 t -8 4))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) (fma.f64 t -8 4))))) (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 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 (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 (/.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 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2)) (neg.f64 (/.f64 1 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -1/2) (neg.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) (cbrt.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))) (cbrt.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) (sqrt.f64 (/.f64 -1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2))) (/.f64 1 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.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) 1)))))

simplify111.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
721×fma-def_binary64
492×unswap-sqr_binary64
490×associate-/r*_binary64
486×distribute-neg-frac_binary64
374×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063531
1173508
2497497
31612476
45804476
Stop Event
1×node limit
Counts
163 → 159
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)))))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
1
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5))))))
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 2 (*.f64 (+.f64 t 1) (pow.f64 t 3)) (-.f64 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 -1/16 (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 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 5))) (/.f64 1/8 (pow.f64 t 3)))
(+.f64 (+.f64 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 -1/8 (pow.f64 t 3))) (/.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 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 5))) (/.f64 1/8 (pow.f64 t 3))) (/.f64 -3/64 (pow.f64 t 6)))
(-.f64 (/.f64 -1/32 (pow.f64 t 5)) (-.f64 (/.f64 1/8 (pow.f64 t 3)) (-.f64 (/.f64 -1/16 (pow.f64 t 4)) (/.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 -1/16 (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 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 5))) (/.f64 1/8 (pow.f64 t 3)))
(+.f64 (+.f64 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 -1/8 (pow.f64 t 3))) (/.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 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 5))) (/.f64 1/8 (pow.f64 t 3))) (/.f64 -3/64 (pow.f64 t 6)))
(-.f64 (/.f64 -1/32 (pow.f64 t 5)) (-.f64 (/.f64 1/8 (pow.f64 t 3)) (-.f64 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 3/64 (pow.f64 t 6)))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 t t) 1/2)
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) 1/2))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))
(fma.f64 t (*.f64 (fma.f64 t -2 1) t) 1/2)
(fma.f64 t (fma.f64 (*.f64 t t) -2 t) 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 -2 (pow.f64 t 4) (*.f64 t t))))
(+.f64 (fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2)) (*.f64 (pow.f64 t 4) -2))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t (fma.f64 (pow.f64 t 4) -2 1/2)))
(fma.f64 t t (fma.f64 (pow.f64 t 3) -2 (fma.f64 (pow.f64 t 4) -2 1/2)))
1
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(+.f64 1 (/.f64 1/8 (pow.f64 t 3)))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (/.f64 1/16 (pow.f64 t 4))))
(+.f64 (/.f64 1/16 (pow.f64 t 4)) (+.f64 1 (/.f64 1/8 (pow.f64 t 3))))
(+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/8 (pow.f64 t 3))))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5))))))
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (+.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 (/.f64 1/32 (pow.f64 t 5)) 1)))
(+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (+.f64 (/.f64 1/8 (pow.f64 t 3)) (/.f64 1/32 (pow.f64 t 5)))))
(+.f64 (/.f64 1/16 (pow.f64 t 4)) (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (/.f64 1/32 (pow.f64 t 5)))))
1
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(+.f64 1 (/.f64 1/8 (pow.f64 t 3)))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (/.f64 1/16 (pow.f64 t 4))))
(+.f64 (/.f64 1/16 (pow.f64 t 4)) (+.f64 1 (/.f64 1/8 (pow.f64 t 3))))
(+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/8 (pow.f64 t 3))))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5))))))
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (+.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 (/.f64 1/32 (pow.f64 t 5)) 1)))
(+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (+.f64 (/.f64 1/8 (pow.f64 t 3)) (/.f64 1/32 (pow.f64 t 5)))))
(+.f64 (/.f64 1/16 (pow.f64 t 4)) (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (/.f64 1/32 (pow.f64 t 5)))))

localize6.0ms (0.1%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 12 to 9 computations (25% saved)

series4.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

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

rewrite130.0ms (1.9%)

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)))))

simplify21.0ms (0.3%)

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))

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1/27 (*.f64 t t)) 5/6)
✓0.0b
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 -2/9 t))
0.3b
(/.f64 -2/9 t)
✓0.7b
(/.f64 1/27 (*.f64 t t))
Compiler

Compiled 34 to 20 computations (41.2% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite105.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
889×prod-diff_binary64
480×log-prod_binary64
371×fma-def_binary64
219×fma-neg_binary64
214×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01033
124129
2340629
Stop Event
1×node limit
Counts
3 → 157
Calls
Call 1
Inputs
(/.f64 1/27 (*.f64 t t))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 -2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) 5/6)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) (*.f64 1/27 (pow.f64 t -2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/729 (pow.f64 t 4)) (fma.f64 1/27 (pow.f64 t -2) -5/6)) (/.f64 25/36 (fma.f64 1/27 (pow.f64 t -2) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/27 (pow.f64 t -2) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6)) (pow.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6)) 2) (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6)) (sqrt.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/19683 (pow.f64 (pow.f64 t -2) 3) 125/216) (/.f64 1 (+.f64 (/.f64 1/729 (pow.f64 t 4)) (-.f64 25/36 (/.f64 5/162 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/729 (pow.f64 t 4)) -25/36) (/.f64 1 (fma.f64 1/27 (pow.f64 t -2) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1/729 (pow.f64 t 4)) (-.f64 25/36 (/.f64 5/162 (*.f64 t t)))) (fma.f64 1/19683 (pow.f64 (pow.f64 t -2) 3) 125/216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/27 (pow.f64 t -2) -5/6) (+.f64 (/.f64 1/729 (pow.f64 t 4)) -25/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/19683 (pow.f64 (pow.f64 t -2) 3) 125/216) (+.f64 (/.f64 1/729 (pow.f64 t 4)) (-.f64 25/36 (/.f64 5/162 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/19683 (pow.f64 (pow.f64 t -2) 3) 125/216) (+.f64 25/36 (-.f64 (/.f64 1/729 (pow.f64 t 4)) (/.f64 5/162 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/729 (pow.f64 t 4)) -25/36) (fma.f64 1/27 (pow.f64 t -2) -5/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/19683 (pow.f64 (pow.f64 t -2) 3) 125/216)) (neg.f64 (+.f64 (/.f64 1/729 (pow.f64 t 4)) (-.f64 25/36 (/.f64 5/162 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 1/729 (pow.f64 t 4)) -25/36)) (neg.f64 (fma.f64 1/27 (pow.f64 t -2) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25/36 (/.f64 1/729 (pow.f64 t 4))) (-.f64 5/6 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 1/729 (pow.f64 t 4)) (-.f64 25/36 (/.f64 5/162 (*.f64 t t)))) (fma.f64 1/19683 (pow.f64 (pow.f64 t -2) 3) 125/216)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/27 (pow.f64 t -2) -5/6) (+.f64 (/.f64 1/729 (pow.f64 t 4)) -25/36)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/27 (pow.f64 t -2) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/27 (pow.f64 t -2)) 1 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/27 (pow.f64 t -2)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 1/27) t) (/.f64 (sqrt.f64 1/27) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/27 (/.f64 1 (*.f64 t (neg.f64 t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -2) 1/27 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/27 t) (/.f64 1 t) 5/6)))))

simplify61.0ms (0.9%)

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

Useful iterations: 6 (0.0ms)

IterNodesCost
019315
146315
279315
3142315
4292315
5816315
63582303
76919303
Stop Event
1×node limit
Counts
193 → 169
Calls
Call 1
Inputs
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(/.f64 1/27 (pow.f64 t 2))
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
5/6
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
5/6
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
Outputs
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(-.f64 (+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/27 (*.f64 t t)) 5/6)
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/27 (*.f64 t t)) 5/6)
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/27 (*.f64 t t)) 5/6)
5/6
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/27 (*.f64 t t)) 5/6)
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/27 (*.f64 t t)) 5/6)
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/27 (*.f64 t t)) 5/6)
5/6
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/27 (*.f64 t t)) 5/6)
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/27 (*.f64 t t)) 5/6)
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/27 (*.f64 t t)) 5/6)

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
✓0.6b
(/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4))))
Compiler

Compiled 40 to 30 computations (25% saved)

series3.0ms (0%)

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

rewrite98.0ms (1.4%)

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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 t (*.f64 t 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 4) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.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 (fma.f64 t (*.f64 t 4) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.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 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 (/.f64 1 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2))) (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -1/2) (pow.f64 (fma.f64 t (*.f64 t 4) 2) -1/2))))) (#(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 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)) -2) (/.f64 1 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (pow.f64 t 6) 64 8)) (fma.f64 (*.f64 t (*.f64 t 4)) (fma.f64 t (*.f64 t 4) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 t 2) 4))) (-.f64 2 (*.f64 t (*.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 t (*.f64 t 4) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 t (*.f64 t 4) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 t (*.f64 t 4) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (fma.f64 t (*.f64 t 4) 2)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (fma.f64 t (*.f64 t 4) 2))))) (sqrt.f64 (neg.f64 (log.f64 (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(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 (fma.f64 t (*.f64 t 4) 2) -2))) (-.f64 1 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 1 (fma.f64 t (*.f64 t 4) 2))) (-.f64 1 (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) -3)) (+.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 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -3))) (neg.f64 (+.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 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 t (*.f64 t 4) 2) -2))) (neg.f64 (+.f64 1 (/.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)) 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)))))

simplify48.0ms (0.7%)

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)))))

eval431.0ms (6.3%)

Compiler

Compiled 9231 to 7445 computations (19.3% saved)

prune134.0ms (2%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New5272529
Fresh011
Picked011
Done077
Total52711538
Error
0b
Counts
538 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.8b
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 -2/9 t))
✓0.0b
(+.f64 1 (/.f64 -1 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t))) (-.f64 1 t)) 6)))
25.7b
5/6
✓26.5b
(-.f64 1 1/2)
▶31.1b
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
▶31.9b
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
✓25.8b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
✓25.6b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8)))))))
✓0.0b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
✓25.9b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
✓30.6b
(+.f64 5/6 (/.f64 -2/9 t))
Compiler

Compiled 132 to 110 computations (16.7% saved)

localize7.0ms (0.1%)

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)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite49.0ms (0.7%)

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))))))))

simplify160.0ms (2.3%)

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)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 -2/9 t) 5/6)
0.3b
(/.f64 -2/9 t)
✓0.5b
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
✓0.5b
(+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))
Compiler

Compiled 29 to 24 computations (17.2% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite124.0ms (1.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0936
121621
2301421
Stop Event
1×node limit
Counts
3 → 275
Calls
Call 1
Inputs
(+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 (/.f64 -2/9 t) 5/6)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 -2/9 t) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5/6 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) 5/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) 11/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (/.f64 -2/9 t) 11/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1) (-.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1) 1)))))

simplify24.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

eval108.0ms (1.6%)

Compiler

Compiled 3591 to 3012 computations (16.1% saved)

prune65.0ms (1%)

Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New2424246
Fresh101
Picked011
Done189
Total24413257
Error
0b
Counts
257 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
26.2b
(-.f64 11/6 1)
31.9b
(+.f64 (*.f64 t t) 1/2)
✓30.8b
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 -2/9 t))
✓0.0b
(+.f64 1 (/.f64 -1 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t))) (-.f64 1 t)) 6)))
26.5b
1/2
25.7b
5/6
✓31.1b
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
✓31.9b
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
✓25.8b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
✓25.6b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8)))))))
✓0.0b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
✓25.9b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
✓30.6b
(+.f64 5/6 (/.f64 -2/9 t))
Compiler

Compiled 140 to 116 computations (17.1% saved)

regimes53.0ms (0.8%)

Counts
21 → 1
Calls
Call 1
Inputs
1/2
5/6
5/6
(-.f64 11/6 1)
(-.f64 1 1/2)
(+.f64 (*.f64 t t) 1/2)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 1 (/.f64 1 6))
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 -2/9 t))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 -8 (+.f64 1 t)) 6)))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 1 t)) 6)))
(+.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 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8)))))))
(+.f64 1 (/.f64 -1 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t))) (-.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 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
Calls

7 calls:

18.0ms
t
11.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
4.0ms
(/.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)))))))
3.0ms
(+.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))))))
3.0ms
(-.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))))))))
Results
ErrorSegmentsBranch
0b1t
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))))))))
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)))))))
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))))))
0b1(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
0b1(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0b1(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
Compiler

Compiled 348 to 286 computations (17.8% saved)

regimes21.0ms (0.3%)

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

1 calls:

15.0ms
t
Results
ErrorSegmentsBranch
0.0b1t
Compiler

Compiled 189 to 151 computations (20.1% saved)

regimes41.0ms (0.6%)

Counts
17 → 3
Calls
Call 1
Inputs
1/2
5/6
5/6
(-.f64 11/6 1)
(-.f64 1 1/2)
(+.f64 (*.f64 t t) 1/2)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 1 (/.f64 1 6))
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 -2/9 t))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 -8 (+.f64 1 t)) 6)))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 t) -8) (+.f64 1 t)) 6)))
Outputs
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.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:

36.0ms
t
Results
ErrorSegmentsBranch
0.4b3t
Compiler

Compiled 130 to 104 computations (20% saved)

bsearch81.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
45.0ms
0.014314910743624936
346684743939.9177
36.0ms
-7740.734152509548
-0.02942077907723863
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes28.0ms (0.4%)

Counts
14 → 3
Calls
Call 1
Inputs
1/2
5/6
5/6
(-.f64 11/6 1)
(-.f64 1 1/2)
(+.f64 (*.f64 t t) 1/2)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 1 (/.f64 1 6))
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(-.f64 1 (/.f64 1 (+.f64 6 (/.f64 -8 t))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 -2/9 t))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 -8 (+.f64 1 t)) 6)))
Outputs
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 -2/9 t))
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
(+.f64 5/6 (/.f64 -2/9 t))
Calls

1 calls:

25.0ms
t
Results
ErrorSegmentsBranch
0.5b3t
Compiler

Compiled 85 to 69 computations (18.8% saved)

bsearch67.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
34.0ms
0.014314910743624936
346684743939.9177
32.0ms
-7740.734152509548
-0.02942077907723863
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes22.0ms (0.3%)

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

1 calls:

20.0ms
t
Results
ErrorSegmentsBranch
0.6b3t
Compiler

Compiled 52 to 43 computations (17.3% saved)

bsearch80.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
46.0ms
0.014314910743624936
346684743939.9177
34.0ms
-7740.734152509548
-0.02942077907723863
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes21.0ms (0.3%)

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

1 calls:

18.0ms
t
Results
ErrorSegmentsBranch
0.6b3t
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch64.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
31.0ms
0.014314910743624936
346684743939.9177
33.0ms
-7740.734152509548
-0.02942077907723863
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes16.0ms (0.2%)

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

1 calls:

14.0ms
t
Results
ErrorSegmentsBranch
0.7b3t
Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch64.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
0.014314910743624936
346684743939.9177
32.0ms
-7740.734152509548
-0.02942077907723863
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes14.0ms (0.2%)

Accuracy

Total -50.6b remaining (-5973.2%)

Threshold costs -50.6b (-5973.2%)

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

1 calls:

12.0ms
t
Results
ErrorSegmentsBranch
0.8b3t
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch64.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
30.0ms
0.014314910743624936
346684743939.9177
33.0ms
-7740.734152509548
-0.02942077907723863
Compiler

Compiled 34 to 29 computations (14.7% saved)

simplify23.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
27×+-commutative_binary64
25×distribute-rgt-neg-in_binary64
23×cancel-sign-sub-inv_binary64
19×sub-neg_binary64
17×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059276
188276
2117276
3145276
4175276
5203276
6234276
7261276
8286276
9295276
Stop Event
1×fuel
1×saturated
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))))))))
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
(if (<=.f64 t -8511027208207049/1099511627776) (+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 -2/9 t)) (if (<=.f64 t 4125992108213195/288230376151711744) (-.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 -8511027208207049/1099511627776) (+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 -2/9 t)) (if (<=.f64 t 4125992108213195/288230376151711744) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -8511027208207049/1099511627776) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 4125992108213195/288230376151711744) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -8511027208207049/1099511627776) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 4125992108213195/288230376151711744) (+.f64 (*.f64 t t) 1/2) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -8511027208207049/1099511627776) 5/6 (if (<=.f64 t 4125992108213195/288230376151711744) (+.f64 (*.f64 t t) 1/2) 5/6))
(if (<=.f64 t -8511027208207049/1099511627776) 5/6 (if (<=.f64 t 4125992108213195/288230376151711744) 1/2 5/6))
1/2
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 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
(if (<=.f64 t -8511027208207049/1099511627776) (+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 -2/9 t)) (if (<=.f64 t 4125992108213195/288230376151711744) (-.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 -8511027208207049/1099511627776) (+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 -2/9 t)) (if (<=.f64 t 4125992108213195/288230376151711744) (+.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 -8511027208207049/1099511627776) (+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 -2/9 t)) (if (<=.f64 t 4125992108213195/288230376151711744) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -8511027208207049/1099511627776) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 4125992108213195/288230376151711744) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -8511027208207049/1099511627776) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 4125992108213195/288230376151711744) (+.f64 (*.f64 t t) 1/2) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -8511027208207049/1099511627776) 5/6 (if (<=.f64 t 4125992108213195/288230376151711744) (+.f64 (*.f64 t t) 1/2) 5/6))
(if (<=.f64 t -8511027208207049/1099511627776) 5/6 (if (<=.f64 t 4125992108213195/288230376151711744) 1/2 5/6))
1/2
Compiler

Compiled 200 to 157 computations (21.5% saved)

soundness0.0ms (0%)

end116.0ms (1.7%)

Compiler

Compiled 192 to 145 computations (24.5% saved)

Profiling

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