Details

Time bar (total: 7.5s)

analyze312.0ms (4.2%)

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)

sample2.3s (31%)

Results
2.3s8256×body256valid

preprocess93.0ms (1.2%)

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)

simplify65.0ms (0.9%)

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

Useful iterations: 6 (0.0ms)

IterNodesCost
01343
12341
24741
312029
434229
5134426
6471725
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
Outputs
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t)))))))
(+.f64 1 (/.f64 -1 (fma.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)))
(+.f64 1 (/.f64 -1 (fma.f64 (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (-.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2)))
(+.f64 1 (/.f64 -1 (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 2)))
(+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))

eval2.0ms (0%)

Compiler

Compiled 47 to 41 computations (12.8% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

localize61.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiled 78 to 66 computations (15.4% saved)

series9.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite131.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
594×log-prod_binary64
338×prod-diff_binary64
289×fma-def_binary64
253×log-div_binary64
250×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01355
129755
2390255
Stop Event
1×node limit
Counts
4 → 137
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))
(/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
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 (pow.f64 (/.f64 4 (+.f64 1 t)) 2) (+.f64 (/.f64 4 (+.f64 1 t)) 8)) (/.f64 64 (+.f64 (/.f64 4 (+.f64 1 t)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 4 (+.f64 1 t)) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2) (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -512 (/.f64 64 (pow.f64 (+.f64 1 t) 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 4 (+.f64 1 t)) 2) (-.f64 64 (/.f64 -32 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 4 (+.f64 1 t)) 2) -64) (/.f64 1 (+.f64 (/.f64 4 (+.f64 1 t)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 4 (+.f64 1 t)) 2) (-.f64 64 (/.f64 -32 (+.f64 1 t)))) (+.f64 -512 (/.f64 64 (pow.f64 (+.f64 1 t) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) 8) (+.f64 (pow.f64 (/.f64 4 (+.f64 1 t)) 2) -64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -512 (/.f64 64 (pow.f64 (+.f64 1 t) 3))) (+.f64 (pow.f64 (/.f64 4 (+.f64 1 t)) 2) (-.f64 64 (/.f64 -32 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -512 (/.f64 64 (pow.f64 (+.f64 1 t) 3))) (+.f64 64 (-.f64 (pow.f64 (/.f64 4 (+.f64 1 t)) 2) (/.f64 -32 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 4 (+.f64 1 t)) 2) -64) (+.f64 (/.f64 4 (+.f64 1 t)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -512 (/.f64 64 (pow.f64 (+.f64 1 t) 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 4 (+.f64 1 t)) 2) (-.f64 64 (/.f64 -32 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 4 (+.f64 1 t)) 2) -64)) (neg.f64 (+.f64 (/.f64 4 (+.f64 1 t)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64 (pow.f64 (/.f64 4 (+.f64 1 t)) 2)) (-.f64 -8 (/.f64 4 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 4 (+.f64 1 t)) 2) (-.f64 64 (/.f64 -32 (+.f64 1 t)))) (+.f64 -512 (/.f64 64 (pow.f64 (+.f64 1 t) 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) 8) (+.f64 (pow.f64 (/.f64 4 (+.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))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 1 (+.f64 1 t)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 4 (+.f64 1 t)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (+.f64 1 t)) 1 -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (+.f64 1 t))) (cbrt.f64 (pow.f64 (/.f64 4 (+.f64 1 t)) 2)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 4 (+.f64 1 t)) 2)) (cbrt.f64 (/.f64 4 (+.f64 1 t))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (sqrt.f64 (+.f64 1 t))) (/.f64 2 (sqrt.f64 (+.f64 1 t))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (/.f64 1 (+.f64 -1 (neg.f64 t))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 t)) 4 -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (+.f64 1 (pow.f64 t 3))) (fma.f64 t (-.f64 t 1) 1) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (-.f64 1 (*.f64 t t))) (-.f64 1 t) -8)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 4 (+.f64 1 t)))) (cbrt.f64 (exp.f64 (/.f64 4 (+.f64 1 t)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (+.f64 1 t))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4 (+.f64 1 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (+.f64 1 t))) (cbrt.f64 (pow.f64 (/.f64 4 (+.f64 1 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 4 (+.f64 1 t)) 2)) (cbrt.f64 (/.f64 4 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (+.f64 1 t))) (/.f64 2 (sqrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (+.f64 -1 (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 t)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 1 (pow.f64 t 3))) (fma.f64 t (-.f64 t 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (-.f64 1 (*.f64 t t))) (-.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4 (+.f64 1 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (sqrt.f64 (+.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 64 (pow.f64 (+.f64 1 t) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 t) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 1 t) 1/4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 4 (+.f64 1 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 64 (pow.f64 (+.f64 1 t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 4) (log1p.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 4) (log1p.f64 t)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify88.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
406×sub-neg_binary64
392×distribute-rgt-out_binary64
337×fma-def_binary64
333×distribute-lft-out_binary64
331×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086656
1259639
2716629
31971619
45250619
Stop Event
1×node limit
Counts
185 → 192
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))))
-1/2
(-.f64 (pow.f64 t 2) 1/2)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 t 3)) (pow.f64 t 2)) 1/2)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 (pow.f64 t 4) (pow.f64 t 2))) 1/2)
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
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 (*.f64 -4 t) (fma.f64 4 (*.f64 t t) -4))
(fma.f64 -4 t (fma.f64 4 (*.f64 t t) -4))
(fma.f64 t (*.f64 t 4) (fma.f64 -4 t -4))
(fma.f64 t (+.f64 -4 (*.f64 t 4)) -4)
(-.f64 (+.f64 (*.f64 -4 t) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) 4)
(+.f64 (fma.f64 -4 t (fma.f64 -4 (pow.f64 t 3) (*.f64 4 (*.f64 t t)))) -4)
(+.f64 (*.f64 -4 (+.f64 t (pow.f64 t 3))) (fma.f64 4 (*.f64 t t) -4))
(+.f64 (fma.f64 -4 t -4) (*.f64 (*.f64 t t) (fma.f64 -4 t 4)))
(fma.f64 -4 t (fma.f64 (*.f64 t t) (fma.f64 -4 t 4) -4))
-8
(-.f64 (*.f64 4 (/.f64 1 t)) 8)
(-.f64 (/.f64 4 t) 8)
(+.f64 -8 (/.f64 4 t))
(-.f64 (*.f64 4 (/.f64 1 t)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8))
(-.f64 (/.f64 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 -4 (*.f64 t t))))
(+.f64 (/.f64 4 t) (+.f64 -8 (/.f64 -4 (*.f64 t t))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8))
(+.f64 (/.f64 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 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 (/.f64 -4 t) t))))
(+.f64 (+.f64 -8 (/.f64 4 (pow.f64 t 3))) (+.f64 (/.f64 4 t) (/.f64 -4 (*.f64 t t))))
(+.f64 -8 (+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 -4 (*.f64 t t)))))
-8
(-.f64 (*.f64 4 (/.f64 1 t)) 8)
(-.f64 (/.f64 4 t) 8)
(+.f64 -8 (/.f64 4 t))
(-.f64 (*.f64 4 (/.f64 1 t)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8))
(-.f64 (/.f64 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 -4 (*.f64 t t))))
(+.f64 (/.f64 4 t) (+.f64 -8 (/.f64 -4 (*.f64 t t))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8))
(+.f64 (/.f64 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 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 (/.f64 -4 t) t))))
(+.f64 (+.f64 -8 (/.f64 4 (pow.f64 t 3))) (+.f64 (/.f64 4 t) (/.f64 -4 (*.f64 t t))))
(+.f64 -8 (+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 -4 (*.f64 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 t (*.f64 t (*.f64 t 4))))
(fma.f64 t (*.f64 t 4) (fma.f64 -4 t 4))
(fma.f64 -4 t (fma.f64 t (*.f64 t 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 (*.f64 (*.f64 t t) (fma.f64 -4 t 4)) (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 4 t) (/.f64 -4 (*.f64 t 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 t) (-.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 (/.f64 4 t) t)))
(+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 (/.f64 -4 t) t)))
(+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 -4 (*.f64 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 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 4 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 4 t) t) (/.f64 4 (pow.f64 t 4)))))
(+.f64 (/.f64 4 t) (+.f64 (-.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 4 (pow.f64 t 4))) (/.f64 (/.f64 -4 t) t)))
(+.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 (/.f64 -4 (*.f64 t t)) (+.f64 (/.f64 4 t) (/.f64 -4 (pow.f64 t 4)))))
(+.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 (/.f64 -4 (*.f64 t t)) (-.f64 (/.f64 4 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 4 t) (/.f64 -4 (*.f64 t 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 t) (-.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 (/.f64 4 t) t)))
(+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 (/.f64 -4 t) t)))
(+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 -4 (*.f64 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 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 4 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 4 t) t) (/.f64 4 (pow.f64 t 4)))))
(+.f64 (/.f64 4 t) (+.f64 (-.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 4 (pow.f64 t 4))) (/.f64 (/.f64 -4 t) t)))
(+.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 (/.f64 -4 (*.f64 t t)) (+.f64 (/.f64 4 t) (/.f64 -4 (pow.f64 t 4)))))
(+.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 (/.f64 -4 (*.f64 t t)) (-.f64 (/.f64 4 t) (/.f64 4 (pow.f64 t 4)))))
-4
(-.f64 (*.f64 4 (pow.f64 t 2)) 4)
(fma.f64 4 (*.f64 t t) -4)
(fma.f64 t (*.f64 t 4) -4)
(-.f64 (+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))) 4)
(+.f64 (*.f64 (pow.f64 t 3) -8) (fma.f64 4 (*.f64 t t) -4))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 4 (*.f64 t t) -4))
(fma.f64 t (*.f64 t 4) (fma.f64 (pow.f64 t 3) -8 -4))
(fma.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))) -4)
(-.f64 (+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))) 4)
(+.f64 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) (*.f64 (pow.f64 t 4) 12))) -4)
(+.f64 -4 (fma.f64 (pow.f64 t 3) -8 (fma.f64 (pow.f64 t 4) 12 (*.f64 t (*.f64 t 4)))))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 t (*.f64 t 4) (fma.f64 (pow.f64 t 4) 12 -4)))
(+.f64 -4 (*.f64 (*.f64 t t) (+.f64 (*.f64 t (+.f64 (*.f64 t 12) -8)) 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 (/.f64 12 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 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))
(-.f64 (+.f64 (*.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 12 (*.f64 t t)) (-.f64 (/.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 20 (pow.f64 t 4)) (-.f64 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))) (/.f64 12 (*.f64 t 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 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)) (+.f64 (/.f64 20 (pow.f64 t 4)) (/.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 (/.f64 12 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 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))
(-.f64 (+.f64 (*.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 12 (*.f64 t t)) (-.f64 (/.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 20 (pow.f64 t 4)) (-.f64 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))) (/.f64 12 (*.f64 t 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 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)) (+.f64 (/.f64 20 (pow.f64 t 4)) (/.f64 -16 (pow.f64 t 3))))
-1/2
(-.f64 (pow.f64 t 2) 1/2)
(+.f64 (*.f64 t t) -1/2)
(fma.f64 t t -1/2)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 t 3)) (pow.f64 t 2)) 1/2)
(+.f64 (fma.f64 -2 (pow.f64 t 3) (*.f64 t t)) -1/2)
(fma.f64 (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 (*.f64 -2 (pow.f64 t 3)) (+.f64 (pow.f64 t 4) (pow.f64 t 2))) 1/2)
(+.f64 (fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) (pow.f64 t 4))) -1/2)
(fma.f64 (pow.f64 t 3) -2 (+.f64 (pow.f64 t 4) (fma.f64 t t -1/2)))
(+.f64 (fma.f64 t t -1/2) (*.f64 (pow.f64 t 3) (+.f64 t -2)))
(+.f64 (*.f64 t t) (fma.f64 (pow.f64 t 3) (+.f64 t -2) -1/2))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1/6 (neg.f64 (/.f64 2/9 t)))
(+.f64 -1/6 (/.f64 -2/9 t))
(-.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 -1/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 1/6 (/.f64 2/9 t))))
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 1/6 (-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.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 (*.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 -1/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 1/6 (/.f64 2/9 t))))
(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 1/6 (-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))))

localize104.0ms (1.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.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))))))))
✓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)))))
✓3.2b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Compiler

Compiled 139 to 115 computations (17.3% saved)

series9.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite286.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
730×log-prod_binary64
441×prod-diff_binary64
363×fma-def_binary64
315×log-div_binary64
275×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01376
131476
2458976
Stop Event
1×node limit
Counts
4 → 158
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 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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) 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simplify123.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
548×distribute-rgt-out_binary64
471×fma-def_binary64
363×sub-neg_binary64
347×associate-*l*_binary64
329×distribute-neg-frac_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
088647
1273638
2756621
32102606
45487593
Stop Event
1×node limit
Counts
206 → 214
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)))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
Outputs
(*.f64 2 t)
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (*.f64 -2 (*.f64 t t)))
(fma.f64 2 t (*.f64 t (*.f64 t -2)))
(*.f64 t (fma.f64 t -2 2))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
(fma.f64 2 t (fma.f64 -2 (*.f64 t t) (*.f64 2 (pow.f64 t 3))))
(fma.f64 2 t (fma.f64 2 (pow.f64 t 3) (*.f64 t (*.f64 t -2))))
(fma.f64 2 (pow.f64 t 3) (*.f64 t (fma.f64 t -2 2)))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (+.f64 (*.f64 -2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 3)))))
(fma.f64 2 t (fma.f64 -2 (*.f64 t t) (fma.f64 -2 (pow.f64 t 4) (*.f64 2 (pow.f64 t 3)))))
(fma.f64 2 t (+.f64 (*.f64 2 (pow.f64 t 3)) (*.f64 -2 (fma.f64 t t (pow.f64 t 4)))))
(fma.f64 -2 (fma.f64 t t (pow.f64 t 4)) (*.f64 2 (+.f64 t (pow.f64 t 3))))
(*.f64 (fma.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 (/.f64 2 (*.f64 t t)) (+.f64 2 (/.f64 -2 t)))
(+.f64 (+.f64 2 (/.f64 -2 t)) (/.f64 2 (*.f64 t t)))
(+.f64 2 (*.f64 (/.f64 1 t) (+.f64 (/.f64 2 t) -2)))
(-.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 2 (*.f64 t t)) (-.f64 (/.f64 -2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) -2)))
(*.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 (/.f64 2 (*.f64 t t)) (+.f64 2 (/.f64 -2 t)))
(+.f64 (+.f64 2 (/.f64 -2 t)) (/.f64 2 (*.f64 t t)))
(+.f64 2 (*.f64 (/.f64 1 t) (+.f64 (/.f64 2 t) -2)))
(-.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 2 (*.f64 t t)) (-.f64 (/.f64 -2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) -2)))
(*.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 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) 4)))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 4) 12)))
(fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) 4))))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 -16 (pow.f64 t 5) (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 4) 12))))
(fma.f64 -16 (pow.f64 t 5) (fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))
(fma.f64 -16 (pow.f64 t 5) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 (/.f64 12 t) t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) (/.f64 16 (pow.f64 t 3)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 (+.f64 4 (/.f64 (/.f64 12 t) t)) (-.f64 (/.f64 -16 (pow.f64 t 3)) (/.f64 8 t)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 (/.f64 12 t) t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) (/.f64 16 (pow.f64 t 3)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 (+.f64 4 (/.f64 (/.f64 12 t) t)) (-.f64 (/.f64 -16 (pow.f64 t 3)) (/.f64 8 t)))
2
(+.f64 2 (*.f64 -2 t))
(+.f64 2 (*.f64 t -2))
(fma.f64 t -2 2)
(+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))))
(+.f64 2 (fma.f64 -2 t (*.f64 2 (*.f64 t t))))
(+.f64 2 (fma.f64 2 (*.f64 t t) (*.f64 t -2)))
(fma.f64 2 (*.f64 t t) (fma.f64 t -2 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 2 (fma.f64 -2 t (*.f64 2 (*.f64 t t)))))
(+.f64 (fma.f64 2 (*.f64 t t) (*.f64 t -2)) (fma.f64 -2 (pow.f64 t 3) 2))
(+.f64 (fma.f64 t -2 2) (*.f64 t (*.f64 t (fma.f64 t -2 2))))
(*.f64 (fma.f64 t t 1) (fma.f64 t -2 2))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))))
(+.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (/.f64 -2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4))))
(+.f64 (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (pow.f64 t 4)))) (/.f64 -2 (*.f64 t t)))
(+.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 (pow.f64 t 3)) (-.f64 (/.f64 -2 (pow.f64 t 4)) (*.f64 (/.f64 1 t) (+.f64 (/.f64 2 t) -2))))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))))
(+.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (/.f64 -2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4))))
(+.f64 (+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (pow.f64 t 4)))) (/.f64 -2 (*.f64 t t)))
(+.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 (pow.f64 t 3)) (-.f64 (/.f64 -2 (pow.f64 t 4)) (*.f64 (/.f64 1 t) (+.f64 (/.f64 2 t) -2))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 t t) 1/2)
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) 1/2))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4))))
(+.f64 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) (pow.f64 t 4))
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t (pow.f64 t 4))))
(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (+.f64 t -2)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 4/81 (pow.f64 t 3))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 4/81 (pow.f64 t 3))))

eval424.0ms (5.6%)

Compiler

Compiled 15508 to 13498 computations (13% saved)

prune67.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New5138521
Fresh000
Picked101
Done011
Total5149523
Error
0b
Counts
523 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶24.6b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
✓0.0b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
25.2b
1/2
▶32.0b
(+.f64 1 (+.f64 -1/6 (/.f64 -2/9 t)))
▶32.2b
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
▶32.0b
(+.f64 5/6 (/.f64 -2/9 t))
▶24.6b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
27.1b
5/6
26.9b
(-.f64 1 (/.f64 1 (+.f64 2 (+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 (/.f64 12 t) t)))))
Compiler

Compiled 166 to 138 computations (16.9% saved)

localize23.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
✓0.2b
(/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))
Compiler

Compiled 65 to 44 computations (32.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite64.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01232
126626
2343426
Stop Event
1×node limit
Counts
2 → 88
Calls
Call 1
Inputs
(/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -1/2) (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (pow.f64 t 6) (pow.f64 (fma.f64 t -8 4) 3) 8)) (fma.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4))) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t -8 4))) 4))) (-.f64 2 (*.f64 t (*.f64 t (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) -2) (/.f64 1 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 1))))))
((#(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 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) (fma.f64 t -8 4)) t)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) (fma.f64 t -8 4)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 t) (fma.f64 t -8 4)) t))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 t) (fma.f64 t -8 4)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 t (*.f64 t 4)) 3) (pow.f64 (*.f64 -8 (pow.f64 t 3)) 3)) (+.f64 (pow.f64 (*.f64 t (*.f64 t 4)) 2) (-.f64 (pow.f64 (*.f64 -8 (pow.f64 t 3)) 2) (*.f64 (*.f64 t (*.f64 t 4)) (*.f64 -8 (pow.f64 t 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 t (*.f64 t 4)) 2) (pow.f64 (*.f64 -8 (pow.f64 t 3)) 2)) (-.f64 (*.f64 t (*.f64 t 4)) (*.f64 -8 (pow.f64 t 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -512 (pow.f64 t 3) 64) (*.f64 t t)) (fma.f64 (*.f64 t -8) (fma.f64 t -8 -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (*.f64 (*.f64 t t) 64)) (*.f64 t t)) (+.f64 4 (*.f64 8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) (fma.f64 -512 (pow.f64 t 3) 64)) (fma.f64 (*.f64 t -8) (fma.f64 t -8 -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) (-.f64 16 (*.f64 (*.f64 t t) 64))) (+.f64 4 (*.f64 8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t -8 4))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t -8 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t -8 4))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t -8 4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) (fma.f64 t -8 4)) t))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 -8 (pow.f64 t 3))) (exp.f64 (*.f64 t (*.f64 t 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t -8 4))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 t (*.f64 t 4)) (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -8 (pow.f64 t 3)) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (*.f64 t 4) (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (*.f64 t (*.f64 t -8)) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (*.f64 -8 (*.f64 t t)) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t t) 4 (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t t) (*.f64 t -8) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 t t) (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -8 (pow.f64 t 3) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t -8) (*.f64 t t) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t 3) -8 (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 t t) 64)) (*.f64 (cbrt.f64 (*.f64 t -8)) (*.f64 t t)) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 4) (*.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 t -8)) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 4) (*.f64 (pow.f64 (cbrt.f64 t) 2) 4) (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 t -8)) (*.f64 (sqrt.f64 (*.f64 t -8)) (*.f64 t t)) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t (*.f64 t 4)) 1 (*.f64 (*.f64 -8 (pow.f64 t 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 4))) 2) (cbrt.f64 (*.f64 t (*.f64 t 4))) (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -8 (pow.f64 t 3))) 2) (cbrt.f64 (*.f64 -8 (pow.f64 t 3))) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 t (*.f64 t 4))) (sqrt.f64 (*.f64 t (*.f64 t 4))) (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -8 (pow.f64 t 3))) (sqrt.f64 (*.f64 -8 (pow.f64 t 3))) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t (sqrt.f64 (*.f64 t -8))) (*.f64 t (sqrt.f64 (*.f64 t -8))) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 t -8)) t) (*.f64 (sqrt.f64 (*.f64 t -8)) t) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 t) t (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t -8) t) t (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t t) -8) t (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t t) (cbrt.f64 (*.f64 (*.f64 t t) 64))) (cbrt.f64 (*.f64 t -8)) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t t) (sqrt.f64 (*.f64 t -8))) (sqrt.f64 (*.f64 t -8)) (*.f64 t (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 (cbrt.f64 t) 4)) (pow.f64 (cbrt.f64 t) 2) (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t -8) (pow.f64 (cbrt.f64 t) 4)) (pow.f64 (cbrt.f64 t) 2) (*.f64 t (*.f64 t 4)))))))

simplify47.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
512×fma-def_binary64
496×associate-/r*_binary64
492×unswap-sqr_binary64
491×distribute-neg-frac_binary64
309×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049372
1131353
2386344
31323323
45086323
Stop Event
1×node limit
Counts
112 → 108
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 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)))))))
(*.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)))
Outputs
1/2
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2)
(fma.f64 -1 (*.f64 t t) 1/2)
(-.f64 1/2 (*.f64 t t))
(fma.f64 t (neg.f64 t) 1/2)
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (*.f64 2 (pow.f64 t 3))))
(+.f64 (fma.f64 -1 (*.f64 t t) 1/2) (*.f64 2 (pow.f64 t 3)))
(-.f64 (fma.f64 2 (pow.f64 t 3) 1/2) (*.f64 t t))
(fma.f64 t (*.f64 t (fma.f64 t 2 -1)) 1/2)
(+.f64 (*.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 3)))))
(+.f64 (fma.f64 -1 (*.f64 t t) 1/2) (*.f64 2 (+.f64 (pow.f64 t 4) (pow.f64 t 3))))
(-.f64 (fma.f64 2 (+.f64 (pow.f64 t 3) (pow.f64 t 4)) 1/2) (*.f64 t t))
(fma.f64 t (*.f64 t (fma.f64 t 2 -1)) (fma.f64 2 (pow.f64 t 4) 1/2))
(/.f64 -1/8 (pow.f64 t 3))
(neg.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/8 (/.f64 1 (pow.f64 t 3)))))
(neg.f64 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/8 (pow.f64 t 3))))
(+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4)))
(neg.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4))))))
(neg.f64 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))))
(-.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5))))
(+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))) (/.f64 -1/32 (pow.f64 t 5)))
(+.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 5))))
(neg.f64 (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 t 6))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))) (/.f64 3/64 (pow.f64 t 6))))
(+.f64 (-.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))) (/.f64 -3/64 (pow.f64 t 6)))
(+.f64 (+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))) (/.f64 -1/32 (pow.f64 t 5))) (/.f64 -3/64 (pow.f64 t 6)))
(+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 5)))) (/.f64 -3/64 (pow.f64 t 6)))
(/.f64 -1/8 (pow.f64 t 3))
(neg.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/8 (/.f64 1 (pow.f64 t 3)))))
(neg.f64 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/8 (pow.f64 t 3))))
(+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4)))
(neg.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4))))))
(neg.f64 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))))
(-.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5))))
(+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))) (/.f64 -1/32 (pow.f64 t 5)))
(+.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 5))))
(neg.f64 (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 t 6))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 t 5))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))) (/.f64 3/64 (pow.f64 t 6))))
(+.f64 (-.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))) (/.f64 -3/64 (pow.f64 t 6)))
(+.f64 (+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))) (/.f64 -1/32 (pow.f64 t 5))) (/.f64 -3/64 (pow.f64 t 6)))
(+.f64 (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 -1/16 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 5)))) (/.f64 -3/64 (pow.f64 t 6)))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 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 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 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 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 -8 (pow.f64 t 3))
(*.f64 (pow.f64 t 3) -8)
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 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 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 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 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 -8 (pow.f64 t 3))
(*.f64 (pow.f64 t 3) -8)
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 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 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 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 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -8))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite50.0ms (0.7%)

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)))))

simplify11.0ms (0.1%)

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))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite48.0ms (0.6%)

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
067
11397
217607
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(+.f64 -1/6 (/.f64 -2/9 t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 -1/6 (/.f64 -2/9 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/36 (-.f64 -1/6 (/.f64 -2/9 t))) (/.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 -1/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))) (pow.f64 (cbrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/216 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (+.f64 1/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/36 (/.f64 4/81 (*.f64 t t))) (/.f64 1 (-.f64 -1/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t))) (+.f64 -1/216 (/.f64 -8/729 (pow.f64 t 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1/6 (/.f64 -2/9 t)) (-.f64 1/36 (/.f64 4/81 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/216 (/.f64 -8/729 (pow.f64 t 3))) (+.f64 1/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/216 (/.f64 -8/729 (pow.f64 t 3))) (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 1/36 (/.f64 1/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/36 (/.f64 4/81 (*.f64 t t))) (-.f64 -1/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/216 (/.f64 -8/729 (pow.f64 t 3)))) (neg.f64 (+.f64 1/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/36 (/.f64 4/81 (*.f64 t t)))) (neg.f64 (-.f64 -1/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4/81 (*.f64 t t)) 1/36) (-.f64 (/.f64 -2/9 t) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1/6 (/.f64 -2/9 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1/6 (/.f64 -2/9 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) -1/6)))))

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
13×fma-def_binary64
9×sub-neg_binary64
9×fma-neg_binary64
7×+-commutative_binary64
4×associate-+l-_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01287
12469
24669
36969
48369
510169
611669
711969
812369
Stop Event
1×saturated
Counts
43 → 35
Calls
Call 1
Inputs
(/.f64 -2/9 t)
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
Outputs
(/.f64 -2/9 t)
(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))
(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))
(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))
-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))
(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))
(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))
-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))
(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))
(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))

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 36 to 21 computations (41.7% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite78.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
124532
2360632
Stop Event
1×node limit
Counts
3 → 177
Calls
Call 1
Inputs
(/.f64 1/27 (*.f64 t t))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/27 (pow.f64 t -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (pow.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/27 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/27) t) (/.f64 (sqrt.f64 1/27) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/27 (/.f64 1 (*.f64 t (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -2) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/27 t) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/729 (pow.f64 t 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/27) t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/19683 (pow.f64 t 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) 27) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 t t) 27) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/729 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/27 (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/19683 (pow.f64 t 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/27 (pow.f64 t -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/27 (pow.f64 t -2) (+.f64 (/.f64 -2/9 t) 5/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 25/36 (-.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))) (/.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 2) (-.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/27 (pow.f64 t -2) (+.f64 (/.f64 -2/9 t) 5/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/27 (pow.f64 t -2) (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (+.f64 (/.f64 -2/9 t) 5/6))) (cbrt.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (+.f64 (/.f64 -2/9 t) 5/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (+.f64 (/.f64 -2/9 t) 5/6)) 2)) (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (+.f64 (/.f64 -2/9 t) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/27 (pow.f64 t -2) (+.f64 (/.f64 -2/9 t) 5/6))) (sqrt.f64 (fma.f64 1/27 (pow.f64 t -2) (+.f64 (/.f64 -2/9 t) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 125/216 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 3)) (/.f64 1 (fma.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) (-.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 5/6) 25/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 25/36 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 2)) (/.f64 1 (-.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) (-.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 5/6) 25/36) (+.f64 125/216 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) (-.f64 25/36 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 3)) (fma.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) (-.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 5/6) 25/36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 3)) (+.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 2) (-.f64 25/36 (*.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25/36 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 2)) (-.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 125/216 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 3))) (neg.f64 (fma.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) (-.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 5/6) 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#<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)) (+.f64 1 (expm1.f64 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/27 (pow.f64 t -2)))) (+.f64 1 (expm1.f64 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -2/9 t))) (pow.f64 (exp.f64 1/27) (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -2/9 t)) (+.f64 1 (expm1.f64 (*.f64 1/27 (pow.f64 t -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -2/9 t))) (+.f64 1 (expm1.f64 (*.f64 1/27 (pow.f64 t -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/27 (pow.f64 t -2)) 1 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/9 t) 1 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/27 (pow.f64 t -2)) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/9 t)) (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)) (*.f64 1/27 (pow.f64 t -2)))))) (#(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))) (/.f64 -2/9 t))))) (#(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))) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 1/27) t) (/.f64 (sqrt.f64 1/27) t) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/27 (/.f64 1 (*.f64 t (neg.f64 t))) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 (neg.f64 t)) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -2) 1/27 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -2/9 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/27 t) (/.f64 1 t) (/.f64 -2/9 t))))))

simplify70.0ms (0.9%)

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

Useful iterations: 6 (0.0ms)

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

localize19.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4))))
Compiler

Compiled 40 to 30 computations (25% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 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 2 (*.f64 t (*.f64 t 4))))

rewrite50.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
876×pow1_binary64
817×add-log-exp_binary64
816×log1p-expm1-u_binary64
816×expm1-log1p-u_binary64
803×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0913
119011
2225611
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 (*.f64 t t) 4 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 (*.f64 t t) 4 2))) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 (*.f64 t t) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -1/2) (pow.f64 (fma.f64 (*.f64 t t) 4 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 (*.f64 t t) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) 4 2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) 4 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 t t) 4 2)) -1) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 t t) 4 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (*.f64 (pow.f64 (*.f64 t t) 3) 64))) (+.f64 4 (*.f64 (*.f64 t (*.f64 t 4)) (-.f64 (*.f64 t (*.f64 t 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 t (*.f64 t 4)) 2))) (-.f64 2 (*.f64 t (*.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 t t) 4 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (*.f64 t t) 4 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 t t) 4 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 (*.f64 t t) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 (*.f64 t t) 4 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 (*.f64 t t) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (*.f64 t t) 4 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 t t) 4 2))))))))

simplify52.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
683×fma-neg_binary64
675×cancel-sign-sub-inv_binary64
606×associate-*l/_binary64
413×unswap-sqr_binary64
357×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041214
1104209
2255207
3740207
43244207
Stop Event
1×node limit
Counts
34 → 37
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)))))
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))
(+.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 (*.f64 2 (pow.f64 t 4)) (fma.f64 t t -1/2))
(+.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 2 (pow.f64 t 4) (*.f64 -4 (pow.f64 t 6))))
(-.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) (*.f64 -4 (pow.f64 t 6))) (fma.f64 t t -1/2))
(-.f64 (fma.f64 2 (pow.f64 t 4) 1/2) (fma.f64 t t (*.f64 4 (pow.f64 t 6))))
(/.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 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6))) (/.f64 -1/8 (pow.f64 t 4)))
(-.f64 (/.f64 1/16 (pow.f64 t 6)) (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t))))
(+.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 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6))) (/.f64 1/32 (pow.f64 t 8))) (/.f64 1/8 (pow.f64 t 4)))
(+.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 (/.f64 1/16 (pow.f64 t 6)) (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t)))) (/.f64 -1/32 (pow.f64 t 8)))
(+.f64 (/.f64 1/4 (*.f64 t t)) (+.f64 (/.f64 1/16 (pow.f64 t 6)) (+.f64 (/.f64 -1/8 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 8)))))
(+.f64 (/.f64 1/4 (*.f64 t t)) (+.f64 (/.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 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6))) (/.f64 -1/8 (pow.f64 t 4)))
(-.f64 (/.f64 1/16 (pow.f64 t 6)) (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t))))
(+.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 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6))) (/.f64 1/32 (pow.f64 t 8))) (/.f64 1/8 (pow.f64 t 4)))
(+.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 (/.f64 1/16 (pow.f64 t 6)) (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t)))) (/.f64 -1/32 (pow.f64 t 8)))
(+.f64 (/.f64 1/4 (*.f64 t t)) (+.f64 (/.f64 1/16 (pow.f64 t 6)) (+.f64 (/.f64 -1/8 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 8)))))
(+.f64 (/.f64 1/4 (*.f64 t t)) (+.f64 (/.f64 1/16 (pow.f64 t 6)) (-.f64 (/.f64 -1/8 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 8)))))

eval249.0ms (3.3%)

Compiler

Compiled 7287 to 5794 computations (20.5% saved)

prune127.0ms (1.7%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New4594463
Fresh213
Picked101
Done055
Total46210472
Error
0b
Counts
472 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.0b
(+.f64 1 (+.f64 -1/6 (/.f64 -2/9 t)))
▶32.0b
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
✓24.6b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
✓0.0b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
▶32.5b
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
25.2b
1/2
▶30.4b
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
27.1b
5/6
✓32.2b
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
✓32.0b
(+.f64 5/6 (/.f64 -2/9 t))
Compiler

Compiled 92 to 78 computations (15.2% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
0.4b
(/.f64 -2/9 t)
✓2.9b
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
Compiler

Compiled 29 to 24 computations (17.2% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite97.0ms (1.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
121611
2308311
Stop Event
1×node limit
Counts
2 → 164
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 -2/9 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 -2/9 t) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2/9 t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -2/9 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2/9 t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2/9 t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/9 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (pow.f64 (/.f64 1 (neg.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) -2/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (/.f64 -2/9 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -2/9 t)))) (pow.f64 (/.f64 1 (+.f64 (/.f64 -2/9 t) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) 1) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 -2/9 t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 -2/9) 3) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2/9 t))) 2) 3) (cbrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2/9 t))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2/9 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 -2/9) 2) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -8/729 1/3) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 -8/729 (pow.f64 t 3))) 1/3) (pow.f64 (sqrt.f64 (/.f64 -8/729 (pow.f64 t 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 -2/9 t) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 -2/9 t) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 4/81 (*.f64 t t)) -2/9) 1/3) (cbrt.f64 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 4/81 (*.f64 t t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t)))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 4/81 (*.f64 t t)) (sqrt.f64 (/.f64 -2/9 t))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 t -9/2)) 2) -1) (cbrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 t -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 t -9/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -2/9 t) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -2/9 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2/9 t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2/9 (neg.f64 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/9 (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (+.f64 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simplify17.0ms (0.2%)

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
010117
120117
231117
347117
462117
580117
698117
7113117
8120117
Stop Event
1×saturated
Counts
188 → 167
Calls
Call 1
Inputs
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
Outputs
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))

localize7.0ms (0.1%)

Compiler

Compiled 19 to 10 computations (47.4% saved)

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 29 to 24 computations (17.2% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite89.0ms (1.2%)

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 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))
(+.f64 (/.f64 -2/9 t) 5/6)
Outputs
((#(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)))))

simplify56.0ms (0.8%)

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 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
11/6
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
11/6
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
Outputs
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 -2/9 t)
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
11/6
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
11/6
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))

eval197.0ms (2.6%)

Compiler

Compiled 5603 to 4829 computations (13.8% saved)

prune60.0ms (0.8%)

Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New3933396
Fresh112
Picked011
Done167
Total39511406
Error
0b
Counts
406 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
✓24.6b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
✓0.0b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
▶32.0b
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
27.1b
5/6
✓32.5b
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
25.2b
1/2
✓30.4b
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
✓32.0b
(+.f64 1 (+.f64 -1/6 (/.f64 -2/9 t)))
✓32.2b
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
✓32.0b
(+.f64 5/6 (/.f64 -2/9 t))
▶27.6b
(-.f64 11/6 1)
Compiler

Compiled 94 to 80 computations (14.9% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.0b
(-.f64 11/6 1)
Compiler

Compiled 6 to 6 computations (0% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite73.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
629×prod-diff_binary64
414×log1p-udef_binary64
256×add-sqr-sqrt_binary64
251×pow1_binary64
244×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051
1761
26551
361591
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 11/6 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 5/6)))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
Outputs

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite71.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
963×pow1_binary64
912×log1p-expm1-u_binary64
912×expm1-log1p-u_binary64
911×add-log-exp_binary64
92×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0810
11857
223887
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
Outputs
((#(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 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/6 (+.f64 1 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(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 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36) (/.f64 1 (+.f64 (/.f64 -2/9 t) 7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6))) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -2/9 t) 7/6) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (-.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36) (+.f64 (/.f64 -2/9 t) 7/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36) (-.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36)) (neg.f64 (+.f64 (/.f64 -2/9 t) 7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 -2/9 t) -1/6)) (+.f64 (/.f64 -2/9 t) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 -2/9 t) -1/6))) (-.f64 1 (+.f64 (/.f64 -2/9 t) -1/6)))))) (#(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 log.f64 (+.f64 1 (expm1.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 1 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))))

simplify14.0ms (0.2%)

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
49 → 41
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))

eval22.0ms (0.3%)

Compiler

Compiled 719 to 631 computations (12.2% saved)

prune14.0ms (0.2%)

Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New62062
Fresh022
Picked011
Done088
Total621173
Error
0b
Counts
73 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
✓24.6b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
✓0.0b
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
✓32.0b
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
27.1b
5/6
✓32.5b
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
25.2b
1/2
✓30.4b
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
✓32.0b
(+.f64 1 (+.f64 -1/6 (/.f64 -2/9 t)))
✓32.2b
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
✓32.0b
(+.f64 5/6 (/.f64 -2/9 t))
✓27.6b
(-.f64 11/6 1)
Compiler

Compiled 94 to 80 computations (14.9% saved)

regimes47.0ms (0.6%)

Counts
17 → 1
Calls
Call 1
Inputs
5/6
5/6
1/2
5/6
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
(+.f64 1 (+.f64 -1/6 (/.f64 -2/9 t)))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
(-.f64 1 (/.f64 1 (+.f64 2 (+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 (/.f64 12 t) t)))))
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
Outputs
(-.f64 1 (/.f64 1 (+.f64 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:

10.0ms
t
8.0ms
(/.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)))))))
8.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
4.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.0ms
(*.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
0.0b1t
0.0b1(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
0.0b1(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0.0b1(+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))
0.0b1(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
0.0b1(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0.0b1(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
Compiler

Compiled 284 to 237 computations (16.5% saved)

regimes14.0ms (0.2%)

Counts
16 → 1
Calls
Call 1
Inputs
5/6
5/6
1/2
5/6
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
(+.f64 1 (+.f64 -1/6 (/.f64 -2/9 t)))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
(-.f64 1 (/.f64 1 (+.f64 2 (+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 (/.f64 12 t) t)))))
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.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:

10.0ms
t
Results
ErrorSegmentsBranch
0.0b1t
Compiler

Compiled 125 to 102 computations (18.4% saved)

regimes35.0ms (0.5%)

Counts
15 → 3
Calls
Call 1
Inputs
5/6
5/6
1/2
5/6
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
(+.f64 1 (+.f64 -1/6 (/.f64 -2/9 t)))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
(-.f64 1 (/.f64 1 (+.f64 2 (+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 (/.f64 12 t) t)))))
Outputs
(-.f64 1 (/.f64 1 (+.f64 2 (+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 (/.f64 12 t) t)))))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
Calls

1 calls:

30.0ms
t
Results
ErrorSegmentsBranch
0.3b3t
Compiler

Compiled 108 to 87 computations (19.4% saved)

bsearch95.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
55.0ms
1.3495707030503094e-5
27.989725222556036
39.0ms
-13980679.245335814
-8.891360039341824e-10
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes64.0ms (0.9%)

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

1 calls:

58.0ms
t
Results
ErrorSegmentsBranch
0.3b3t
Compiler

Compiled 91 to 73 computations (19.8% saved)

bsearch206.0ms (2.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
125.0ms
1.3495707030503094e-5
27.989725222556036
80.0ms
-13980679.245335814
-8.891360039341824e-10
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes25.0ms (0.3%)

Counts
13 → 3
Calls
Call 1
Inputs
5/6
5/6
1/2
5/6
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
(+.f64 1 (+.f64 -1/6 (/.f64 -2/9 t)))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 t (*.f64 t 4)))))
Outputs
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(-.f64 1 (-.f64 1/2 (*.f64 t t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
Calls

1 calls:

22.0ms
t
Results
ErrorSegmentsBranch
0.3b3t
Compiler

Compiled 76 to 62 computations (18.4% saved)

bsearch85.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
51.0ms
1.3495707030503094e-5
27.989725222556036
33.0ms
-13980679.245335814
-8.891360039341824e-10
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes76.0ms (1%)

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

1 calls:

73.0ms
t
Results
ErrorSegmentsBranch
0.4b3t
Compiler

Compiled 54 to 46 computations (14.8% saved)

bsearch101.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
66.0ms
1.3495707030503094e-5
27.989725222556036
34.0ms
-13980679.245335814
-8.891360039341824e-10
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes17.0ms (0.2%)

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

1 calls:

15.0ms
t
Results
ErrorSegmentsBranch
0.4b3t
Compiler

Compiled 29 to 24 computations (17.2% saved)

bsearch66.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
1.3495707030503094e-5
27.989725222556036
33.0ms
-13980679.245335814
-8.891360039341824e-10
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes46.0ms (0.6%)

Counts
7 → 3
Calls
Call 1
Inputs
5/6
5/6
1/2
5/6
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
Outputs
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
1/2
(+.f64 5/6 (/.f64 -2/9 t))
Calls

1 calls:

44.0ms
t
Results
ErrorSegmentsBranch
0.4b3t
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch95.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
34.0ms
1.3495707030503094e-5
27.989725222556036
61.0ms
-13980679.245335814
-8.891360039341824e-10
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes33.0ms (0.4%)

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

1 calls:

32.0ms
t
Results
ErrorSegmentsBranch
0.4b3t
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch109.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
75.0ms
1.3495707030503094e-5
27.989725222556036
33.0ms
-13980679.245335814
-8.891360039341824e-10
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes13.0ms (0.2%)

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

1 calls:

12.0ms
t
Results
ErrorSegmentsBranch
0.9b3t
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch89.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
55.0ms
1.3495707030503094e-5
27.989725222556036
33.0ms
-13980679.245335814
-8.891360039341824e-10
Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes26.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

1 calls:

25.0ms
t
Results
ErrorSegmentsBranch
27.1b1t
Compiler

Compiled 5 to 4 computations (20% saved)

simplify42.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
077405
1116405
2155405
3187405
4218405
5246405
6276405
7302405
8327405
9336405
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 -60046560134583280/4294967296) (-.f64 1 (/.f64 1 (+.f64 2 (+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 (/.f64 12 t) t))))) (if (<=.f64 t 7966459317934505/590295810358705651712) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -60046560134583280/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -60046560134583280/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -60046560134583280/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 1 (+.f64 -1/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -60046560134583280/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -60046560134583280/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -60046560134583280/4294967296) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7966459317934505/590295810358705651712) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -60046560134583280/4294967296) 5/6 (if (<=.f64 t 7966459317934505/590295810358705651712) 1/2 5/6))
5/6
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 (/.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 (/.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 -60046560134583280/4294967296) (-.f64 1 (/.f64 1 (+.f64 2 (+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 (/.f64 12 t) t))))) (if (<=.f64 t 7966459317934505/590295810358705651712) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -3752910008411455/268435456) (-.f64 1 (/.f64 1 (+.f64 2 (+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 (/.f64 12 t) t))))) (if (<=.f64 t 7966459317934505/590295810358705651712) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -3752910008411455/268435456) (-.f64 1 (/.f64 1 (+.f64 2 (+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 (/.f64 12 t) t))))) (if (<=.f64 t 7966459317934505/590295810358705651712) (+.f64 1 (/.f64 -1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -3752910008411455/268435456) (+.f64 1 (/.f64 -1 (+.f64 2 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 (/.f64 12 t) t))))) (if (<=.f64 t 7966459317934505/590295810358705651712) (+.f64 1 (/.f64 -1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -60046560134583280/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -3752910008411455/268435456) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -3752910008411455/268435456) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (+.f64 1 (/.f64 -1 (+.f64 2 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -60046560134583280/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -3752910008411455/268435456) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -3752910008411455/268435456) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (+.f64 1 (+.f64 (*.f64 t t) -1/2)) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -60046560134583280/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 1 (+.f64 -1/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -3752910008411455/268435456) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 1 (+.f64 (/.f64 -2/9 t) -1/6))))
(if (<=.f64 t -3752910008411455/268435456) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (+.f64 1 (+.f64 (*.f64 t t) -1/2)) (+.f64 1 (+.f64 (/.f64 -2/9 t) -1/6))))
(if (<=.f64 t -60046560134583280/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -3752910008411455/268435456) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -3752910008411455/268435456) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (+.f64 1 (+.f64 (*.f64 t t) -1/2)) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -60046560134583280/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -3752910008411455/268435456) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -60046560134583280/4294967296) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7966459317934505/590295810358705651712) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -3752910008411455/268435456) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7966459317934505/590295810358705651712) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -60046560134583280/4294967296) 5/6 (if (<=.f64 t 7966459317934505/590295810358705651712) 1/2 5/6))
(if (<=.f64 t -3752910008411455/268435456) 5/6 (if (<=.f64 t 7966459317934505/590295810358705651712) 1/2 5/6))
5/6
Compiler

Compiled 290 to 231 computations (20.3% saved)

soundness0.0ms (0%)

end386.0ms (5.1%)

Compiler

Compiled 280 to 217 computations (22.5% saved)

Profiling

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