Details

Time bar (total: 10.8s)

analyze487.0ms (4.5%)

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

Compiled 53 to 45 computations (15.1% saved)

sample2.4s (22.5%)

Results
2.4s8256×body256valid

preprocess67.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
976×fma-def_binary64
668×div-sub_binary64
343×unsub-neg_binary64
342×times-frac_binary64
289×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01376
12272
24272
311748
436448
5155442
6561942
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
Outputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))))) (+.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 (fma.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 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 (fma.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 1) (fma.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))
(/.f64 (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 1) (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 2))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 -2 (+.f64 1 t)) (-.f64 4 (/.f64 2 (+.f64 1 t))) 6))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
Compiler

Compiled 53 to 45 computations (15.1% saved)

simplify61.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
976×fma-def_binary64
668×div-sub_binary64
343×unsub-neg_binary64
342×times-frac_binary64
289×associate-/l*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01376
12272
24272
311748
436448
5155442
6561942
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
Outputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (*.f64 (+.f64 1 (/.f64 1 t)) t))))) (+.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 (fma.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 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 (fma.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 1) (fma.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))
(/.f64 (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 1) (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 2))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 -2 (+.f64 1 t)) (-.f64 4 (/.f64 2 (+.f64 1 t))) 6))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

eval2.0ms (0%)

Compiler

Compiled 81 to 69 computations (14.8% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
Compiler

Compiled 52 to 44 computations (15.4% saved)

localize60.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓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 159 to 131 computations (17.6% saved)

series60.0ms (0.6%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
56.0ms
t
@inf
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
1.0ms
t
@0
(-.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))))
0.0ms
t
@-inf
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0.0ms
t
@-inf
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))

rewrite102.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
527×log-prod_binary64
312×pow-prod-down_binary64
287×pow2_binary64
222×prod-diff_binary64
220×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01048
123248
2325348
Stop Event
1×node limit
Counts
3 → 128
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)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) 2) (cbrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) (sqrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 8 (/.f64 8 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 3))) (/.f64 1 (fma.f64 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (/.f64 4 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 2))) (/.f64 1 (+.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 4) (-.f64 8 (/.f64 8 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (-.f64 4 (/.f64 4 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (/.f64 8 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 3))) (fma.f64 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (/.f64 4 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 2))) (+.f64 2 (/.f64 2 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#<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 4) (-.f64 8 (/.f64 8 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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(log.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 t) (neg.f64 (pow.f64 (hypot.f64 1 (pow.f64 t -1/2)) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 2))) (neg.f64 (cbrt.f64 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 2 t)) (hypot.f64 1 (pow.f64 t -1/2))) (neg.f64 (/.f64 (sqrt.f64 (/.f64 2 t)) (hypot.f64 1 (pow.f64 t -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 2 (*.f64 t (+.f64 1 (/.f64 1 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 t) (pow.f64 (hypot.f64 1 (pow.f64 t -1/2)) -2) 2)))) 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simplify58.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
430×distribute-rgt-out_binary64
429×distribute-lft-out_binary64
371×fma-def_binary64
334×associate-*l*_binary64
322×distribute-neg-frac_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
069507
1214505
2609487
31740477
44753462
Stop Event
1×node limit
Counts
164 → 170
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)))))
Outputs
(*.f64 2 t)
(+.f64 (*.f64 2 t) (*.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (*.f64 -2 (*.f64 t t)))
(fma.f64 -2 (*.f64 t t) (*.f64 2 t))
(*.f64 t (fma.f64 t -2 2))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
(fma.f64 2 t (fma.f64 -2 (*.f64 t t) (*.f64 2 (pow.f64 t 3))))
(fma.f64 2 t (fma.f64 2 (pow.f64 t 3) (*.f64 t (*.f64 t -2))))
(fma.f64 2 (pow.f64 t 3) (*.f64 t (fma.f64 t -2 2)))
(+.f64 (*.f64 2 t) (+.f64 (*.f64 -2 (pow.f64 t 2)) (+.f64 (*.f64 -2 (pow.f64 t 4)) (*.f64 2 (pow.f64 t 3)))))
(fma.f64 2 t (fma.f64 -2 (*.f64 t t) (fma.f64 -2 (pow.f64 t 4) (*.f64 2 (pow.f64 t 3)))))
(fma.f64 2 t (fma.f64 -2 (*.f64 t t) (fma.f64 2 (pow.f64 t 3) (*.f64 -2 (pow.f64 t 4)))))
(fma.f64 -2 (fma.f64 t t (pow.f64 t 4)) (*.f64 2 (+.f64 t (pow.f64 t 3))))
(*.f64 (+.f64 (*.f64 t t) 1) (*.f64 t (fma.f64 t -2 2)))
(*.f64 (fma.f64 t -2 2) (+.f64 t (pow.f64 t 3)))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (/.f64 2 t))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t)))
(-.f64 2 (+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t)))
(+.f64 2 (*.f64 (/.f64 1 t) (+.f64 -2 (/.f64 2 t))))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3)))))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3)))))
(+.f64 2 (-.f64 (/.f64 -2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t))))
(*.f64 (+.f64 1 (/.f64 1 (*.f64 t t))) (-.f64 2 (/.f64 2 t)))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (/.f64 2 t))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t)))
(-.f64 2 (+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t)))
(+.f64 2 (*.f64 (/.f64 1 t) (+.f64 -2 (/.f64 2 t))))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3)))))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3)))))
(+.f64 2 (-.f64 (/.f64 -2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t))))
(*.f64 (+.f64 1 (/.f64 1 (*.f64 t t))) (-.f64 2 (/.f64 2 t)))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (pow.f64 t 3) -8 (*.f64 t (*.f64 t 4)))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) 4)))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (pow.f64 t 4) 12 (*.f64 t (*.f64 t 4))))
(fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8))))
(*.f64 (*.f64 t t) (+.f64 (*.f64 t (+.f64 (*.f64 t 12) -8)) 4))
(+.f64 (*.f64 -8 (pow.f64 t 3)) (+.f64 (*.f64 -16 (pow.f64 t 5)) (+.f64 (*.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2)))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (*.f64 (*.f64 t t) 4))))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 -16 (pow.f64 t 5) (fma.f64 (pow.f64 t 4) 12 (*.f64 t (*.f64 t 4)))))
(fma.f64 -16 (pow.f64 t 5) (fma.f64 (pow.f64 t 4) 12 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -8)))))
(fma.f64 -16 (pow.f64 t 5) (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (+.f64 (*.f64 t 12) -8)))))
(fma.f64 -16 (pow.f64 t 5) (*.f64 (*.f64 t t) (+.f64 (*.f64 t (+.f64 (*.f64 t 12) -8)) 4)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (/.f64 8 t))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)) (/.f64 16 (pow.f64 t 3))))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (/.f64 8 t))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)) (/.f64 16 (pow.f64 t 3))))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
2
(+.f64 2 (*.f64 -2 t))
(+.f64 2 (*.f64 t -2))
(fma.f64 t -2 2)
(+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2))))
(+.f64 2 (fma.f64 -2 t (*.f64 2 (*.f64 t t))))
(+.f64 (fma.f64 t -2 2) (*.f64 2 (*.f64 t t)))
(fma.f64 2 (*.f64 t t) (fma.f64 t -2 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (*.f64 -2 t) (*.f64 2 (pow.f64 t 2)))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 2 (fma.f64 -2 t (*.f64 2 (*.f64 t t)))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (fma.f64 t -2 2) (*.f64 2 (*.f64 t t))))
(+.f64 (fma.f64 t -2 2) (*.f64 t (*.f64 t (fma.f64 t -2 2))))
(*.f64 (+.f64 (*.f64 t t) 1) (fma.f64 t -2 2))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 (/.f64 -2 t) t)))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (*.f64 t t))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4)))))
(+.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (+.f64 (/.f64 (/.f64 -2 t) t) (/.f64 -2 (pow.f64 t 4))))
(+.f64 (+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t)) (*.f64 (/.f64 1 (pow.f64 t 3)) (+.f64 2 (/.f64 -2 t))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (-.f64 (/.f64 -2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4)))))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 (/.f64 -2 t) t)))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (*.f64 t t))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 t 4))) (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4)))))
(+.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (+.f64 (/.f64 (/.f64 -2 t) t) (/.f64 -2 (pow.f64 t 4))))
(+.f64 (+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t)) (*.f64 (/.f64 1 (pow.f64 t 3)) (+.f64 2 (/.f64 -2 t))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (-.f64 (/.f64 -2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4)))))

eval924.0ms (8.5%)

Compiler

Compiled 32927 to 27888 computations (15.3% saved)

prune78.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New5786584
Fresh000
Picked011
Done000
Total5787585
Error
0b
Counts
585 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.9b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 4))
▶30.2b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
▶29.9b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
▶31.9b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
✓0b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
32.3b
(/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
▶31.7b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))))
Compiler

Compiled 484 to 404 computations (16.5% saved)

localize43.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
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)))))
✓0.0b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 4))
3.2b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Compiler

Compiled 116 to 96 computations (17.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite66.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
690×log-prod_binary64
389×prod-diff_binary64
344×fma-def_binary64
295×log-div_binary64
271×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01525
132925
2447825
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6)) 2) (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (*.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 1/6)) (*.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (log.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (log.f64 1/6)) 1))))))

simplify49.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
917×fma-def_binary64
805×unswap-sqr_binary64
530×associate-/r*_binary64
334×times-frac_binary64
201×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034150
190146
2227144
3645138
42019135
56328135
Stop Event
1×node limit
Counts
40 → 42
Calls
Call 1
Inputs
1/6
(+.f64 1/6 (*.f64 2/3 (pow.f64 t 2)))
(+.f64 (*.f64 -4/3 (pow.f64 t 3)) (+.f64 1/6 (*.f64 2/3 (pow.f64 t 2))))
(+.f64 (*.f64 -4/3 (pow.f64 t 3)) (+.f64 1/6 (+.f64 (*.f64 2/3 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 4)))))
5/6
(-.f64 5/6 (*.f64 4/3 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 4/3 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 4/3 (/.f64 1 t)) (*.f64 8/3 (/.f64 1 (pow.f64 t 3)))))
5/6
(-.f64 5/6 (*.f64 4/3 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 4/3 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 4/3 (/.f64 1 t)) (*.f64 8/3 (/.f64 1 (pow.f64 t 3)))))
Outputs
1/6
(+.f64 1/6 (*.f64 2/3 (pow.f64 t 2)))
(+.f64 1/6 (*.f64 2/3 (*.f64 t t)))
(fma.f64 2/3 (*.f64 t t) 1/6)
(+.f64 (*.f64 -4/3 (pow.f64 t 3)) (+.f64 1/6 (*.f64 2/3 (pow.f64 t 2))))
(fma.f64 -4/3 (pow.f64 t 3) (+.f64 1/6 (*.f64 2/3 (*.f64 t t))))
(fma.f64 -4/3 (pow.f64 t 3) (fma.f64 2/3 (*.f64 t t) 1/6))
(fma.f64 2/3 (*.f64 t t) (fma.f64 -4/3 (pow.f64 t 3) 1/6))
(fma.f64 t (*.f64 t (fma.f64 t -4/3 2/3)) 1/6)
(+.f64 (*.f64 -4/3 (pow.f64 t 3)) (+.f64 1/6 (+.f64 (*.f64 2/3 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 4)))))
(fma.f64 -4/3 (pow.f64 t 3) (+.f64 1/6 (fma.f64 2/3 (*.f64 t t) (*.f64 2 (pow.f64 t 4)))))
(+.f64 (fma.f64 2/3 (*.f64 t t) (*.f64 2 (pow.f64 t 4))) (fma.f64 -4/3 (pow.f64 t 3) 1/6))
(fma.f64 -4/3 (pow.f64 t 3) (fma.f64 2/3 (*.f64 t t) (fma.f64 2 (pow.f64 t 4) 1/6)))
(fma.f64 t (*.f64 t (fma.f64 t -4/3 2/3)) (fma.f64 2 (pow.f64 t 4) 1/6))
(fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 2 -4/3) 2/3) 1/6)
5/6
(-.f64 5/6 (*.f64 4/3 (/.f64 1 t)))
(-.f64 5/6 (/.f64 4/3 t))
(+.f64 5/6 (/.f64 -4/3 t))
(-.f64 (+.f64 5/6 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 4/3 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (/.f64 2 (*.f64 t t))) (/.f64 4/3 t))
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 5/6 (/.f64 4/3 t)))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -4/3 t)))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 2 t) t) (/.f64 -4/3 t)))
(-.f64 (+.f64 5/6 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 4/3 (/.f64 1 t)) (*.f64 8/3 (/.f64 1 (pow.f64 t 3)))))
(+.f64 5/6 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 4/3 t) (/.f64 8/3 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (-.f64 (/.f64 -4/3 t) (/.f64 8/3 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -4/3 t) (/.f64 -8/3 (pow.f64 t 3)))))
(+.f64 (/.f64 (/.f64 2 t) t) (+.f64 (-.f64 5/6 (/.f64 4/3 t)) (/.f64 -8/3 (pow.f64 t 3))))
5/6
(-.f64 5/6 (*.f64 4/3 (/.f64 1 t)))
(-.f64 5/6 (/.f64 4/3 t))
(+.f64 5/6 (/.f64 -4/3 t))
(-.f64 (+.f64 5/6 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (*.f64 4/3 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (/.f64 2 (*.f64 t t))) (/.f64 4/3 t))
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 5/6 (/.f64 4/3 t)))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -4/3 t)))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 2 t) t) (/.f64 -4/3 t)))
(-.f64 (+.f64 5/6 (*.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 4/3 (/.f64 1 t)) (*.f64 8/3 (/.f64 1 (pow.f64 t 3)))))
(+.f64 5/6 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 4/3 t) (/.f64 8/3 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (-.f64 (/.f64 -4/3 t) (/.f64 8/3 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -4/3 t) (/.f64 -8/3 (pow.f64 t 3)))))
(+.f64 (/.f64 (/.f64 2 t) t) (+.f64 (-.f64 5/6 (/.f64 4/3 t)) (/.f64 -8/3 (pow.f64 t 3))))

localize70.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
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)))))
✓0.2b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
3.2b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Compiler

Compiled 132 to 105 computations (20.5% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite74.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
551×prod-diff_binary64
463×fma-def_binary64
324×expm1-udef_binary64
324×log1p-udef_binary64
219×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01634
137532
2542832
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (/.f64 1 (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2))) 2) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (*.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (/.f64 1 (neg.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 t (*.f64 t 4) 2)) (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 1) (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)) 2)) (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (cbrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2)) (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)) 2)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 2)) 2)) (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (cbrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2)) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 (pow.f64 (*.f64 t t) 3) 64 8)) (fma.f64 (*.f64 4 (*.f64 t t)) (fma.f64 t (*.f64 t 4) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (-.f64 4 (pow.f64 (*.f64 4 (*.f64 t t)) 2))) (-.f64 2 (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 t (*.f64 t 4) 2) (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (neg.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 3) (pow.f64 (fma.f64 t (*.f64 t 4) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (log.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (log.f64 (fma.f64 t (*.f64 t 4) 2))) 1))))))

simplify54.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
589×times-frac_binary64
412×distribute-rgt-neg-in_binary64
370×associate-/l/_binary64
324×fma-def_binary64
311×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036207
1102205
2256201
3697201
42320201
56912201
Stop Event
1×node limit
Counts
47 → 50
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2)))
(+.f64 1/2 (+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2))))
(/.f64 5/4 (pow.f64 t 2))
(-.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 t 5))) (*.f64 2 (/.f64 1 (pow.f64 t 3)))))
(/.f64 5/4 (pow.f64 t 2))
(-.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 t 5))) (*.f64 2 (/.f64 1 (pow.f64 t 3)))))
Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2)))
(+.f64 1/2 (fma.f64 -4 (pow.f64 t 3) (*.f64 t t)))
(+.f64 1/2 (fma.f64 t t (*.f64 -4 (pow.f64 t 3))))
(fma.f64 t t (fma.f64 -4 (pow.f64 t 3) 1/2))
(fma.f64 (fma.f64 t -4 1) (*.f64 t t) 1/2)
(+.f64 1/2 (+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 t t))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 4) (fma.f64 t t (*.f64 -4 (pow.f64 t 3)))))
(fma.f64 4 (pow.f64 t 4) (fma.f64 t t (fma.f64 -4 (pow.f64 t 3) 1/2)))
(fma.f64 t (*.f64 (fma.f64 t -4 1) t) (fma.f64 4 (pow.f64 t 4) 1/2))
(fma.f64 t (*.f64 t (fma.f64 t -4 1)) (fma.f64 4 (pow.f64 t 4) 1/2))
(/.f64 5/4 (pow.f64 t 2))
(/.f64 5/4 (*.f64 t t))
(-.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 2 (pow.f64 t 3)))
(+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3)))
(-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 -5/4 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 -2 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 t 5))) (*.f64 2 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3))) (/.f64 3 (pow.f64 t 5))))
(+.f64 (+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 19/8 (pow.f64 t 4))) (-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 -3 (pow.f64 t 5)))))
(/.f64 5/4 (pow.f64 t 2))
(/.f64 5/4 (*.f64 t t))
(-.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 2 (pow.f64 t 3)))
(+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3)))
(-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 -5/4 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 -2 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 t 2))) (*.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 t 5))) (*.f64 2 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3))) (/.f64 3 (pow.f64 t 5))))
(+.f64 (+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 19/8 (pow.f64 t 4))) (-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 -3 (pow.f64 t 5)))))

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
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)))))
✓0.1b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
3.2b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Compiler

Compiled 133 to 109 computations (18% saved)

series22.0ms (0.2%)

Counts
1 → 12
Calls

3 calls:

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

rewrite77.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
552×prod-diff_binary64
349×expm1-udef_binary64
349×log1p-udef_binary64
207×add-sqr-sqrt_binary64
199×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01731
141131
2597131
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 (/.f64 -8 t) 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (/.f64 1 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 (/.f64 -8 t) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 (/.f64 -8 t) 6))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 (/.f64 -8 t) 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 (/.f64 -8 t) 6))) 2) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (/.f64 1 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (+.f64 (/.f64 -8 t) 6))) (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (*.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (/.f64 1 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (/.f64 1 (+.f64 -6 (neg.f64 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 -8 t) 6)) (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 1) (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) 2)) (/.f64 (+.f64 1 (pow.f64 (+.f64 2 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1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 (/.f64 -8 t) 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (+.f64 (/.f64 -8 t) 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 -8 t) 6) (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 -6 (neg.f64 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 (/.f64 -8 t) 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 (/.f64 -8 t) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 (/.f64 -8 t) 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 3) (pow.f64 (+.f64 (/.f64 -8 t) 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (log.f64 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (log.f64 (+.f64 (/.f64 -8 t) 6))) 1))))))

simplify52.0ms (0.5%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
036156
195156
2234153
3654145
42186145
56013145
Stop Event
1×node limit
Counts
47 → 49
Calls
Call 1
Inputs
(*.f64 -1/8 t)
(+.f64 (*.f64 -3/32 (pow.f64 t 2)) (*.f64 -1/8 t))
(+.f64 (*.f64 -3/32 (pow.f64 t 2)) (+.f64 (*.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t)))
(+.f64 (*.f64 293/512 (pow.f64 t 4)) (+.f64 (*.f64 -3/32 (pow.f64 t 2)) (+.f64 (*.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
Outputs
(*.f64 -1/8 t)
(+.f64 (*.f64 -3/32 (pow.f64 t 2)) (*.f64 -1/8 t))
(fma.f64 -3/32 (*.f64 t t) (*.f64 -1/8 t))
(fma.f64 -1/8 t (*.f64 -3/32 (*.f64 t t)))
(*.f64 t (+.f64 -1/8 (*.f64 t -3/32)))
(*.f64 t (fma.f64 t -3/32 -1/8))
(+.f64 (*.f64 -3/32 (pow.f64 t 2)) (+.f64 (*.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t)))
(fma.f64 -3/32 (*.f64 t t) (fma.f64 -73/128 (pow.f64 t 3) (*.f64 -1/8 t)))
(fma.f64 -3/32 (*.f64 t t) (fma.f64 -1/8 t (*.f64 -73/128 (pow.f64 t 3))))
(fma.f64 -73/128 (pow.f64 t 3) (*.f64 t (+.f64 -1/8 (*.f64 t -3/32))))
(*.f64 t (+.f64 -1/8 (*.f64 t (fma.f64 t -73/128 -3/32))))
(+.f64 (*.f64 293/512 (pow.f64 t 4)) (+.f64 (*.f64 -3/32 (pow.f64 t 2)) (+.f64 (*.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t))))
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -3/32 (*.f64 t t) (fma.f64 -73/128 (pow.f64 t 3) (*.f64 -1/8 t))))
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -3/32 (*.f64 t t) (fma.f64 -1/8 t (*.f64 -73/128 (pow.f64 t 3)))))
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -73/128 (pow.f64 t 3) (*.f64 t (+.f64 -1/8 (*.f64 t -3/32)))))
(fma.f64 293/512 (pow.f64 t 4) (*.f64 t (+.f64 -1/8 (*.f64 t (fma.f64 t -73/128 -3/32)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 46/27 (*.f64 t t)))
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (/.f64 -32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(-.f64 (/.f64 -32/81 (pow.f64 t 3)) (+.f64 (-.f64 -5/6 (/.f64 -2/9 t)) (/.f64 -46/27 (*.f64 t t))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 46/27 (*.f64 t t)))
(-.f64 (+.f64 5/6 (*.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (*.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (/.f64 -32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(-.f64 (/.f64 -32/81 (pow.f64 t 3)) (+.f64 (-.f64 -5/6 (/.f64 -2/9 t)) (/.f64 -46/27 (*.f64 t t))))

localize100.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
✓0.1b
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))
✓0.2b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
3.2b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Compiler

Compiled 157 to 124 computations (21% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite84.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
826×prod-diff_binary64
229×add-sqr-sqrt_binary64
222×pow1_binary64
221×*-un-lft-identity_binary64
215×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01953
145147
2658947
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) (/.f64 1 (fma.f64 t (*.f64 t 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simplify42.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
845×times-frac_binary64
492×unswap-sqr_binary64
451×associate-*l/_binary64
345×fma-def_binary64
332×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045354
1117350
2308339
3857321
43241321
Stop Event
1×node limit
Counts
80 → 76
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (*.f64 4 (pow.f64 t 4)) (pow.f64 t 2))))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (*.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (*.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (*.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (*.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (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 (*.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 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (*.f64 t t)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t (fma.f64 (*.f64 t t) -2 t) 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (*.f64 4 (pow.f64 t 4)) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 4 (pow.f64 t 4) (*.f64 t t))))
(+.f64 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) (*.f64 4 (pow.f64 t 4)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t (fma.f64 4 (pow.f64 t 4) 1/2)))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) (fma.f64 4 (pow.f64 t 4) 1/2)))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 5/8 (pow.f64 t 3)))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 -5/8 (pow.f64 t 3)))
(-.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (*.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (-.f64 (/.f64 -37/32 (pow.f64 t 5)) (/.f64 5/8 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (*.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 81/64 (pow.f64 t 6))) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (-.f64 (/.f64 81/64 (pow.f64 t 6)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5)))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5)))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -37/32 (pow.f64 t 5)) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (/.f64 -5/8 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 -5/8 (pow.f64 t 3))) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (/.f64 -37/32 (pow.f64 t 5))))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 5/8 (pow.f64 t 3)))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 -5/8 (pow.f64 t 3)))
(-.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (*.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (-.f64 (/.f64 -37/32 (pow.f64 t 5)) (/.f64 5/8 (pow.f64 t 3))))
(-.f64 (+.f64 (*.f64 11/16 (/.f64 1 (pow.f64 t 4))) (*.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (*.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 81/64 (pow.f64 t 6))) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (-.f64 (/.f64 81/64 (pow.f64 t 6)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5)))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5)))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -37/32 (pow.f64 t 5)) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (/.f64 -5/8 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 -5/8 (pow.f64 t 3))) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (/.f64 -37/32 (pow.f64 t 5))))
(*.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 (*.f64 t -8) 4))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 (*.f64 t 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 (*.f64 t -8) 4))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 (*.f64 t 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 (*.f64 t -8) 4))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 (*.f64 t 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 (*.f64 t -8) 4))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 (*.f64 t 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 (*.f64 t -8) 4))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 (*.f64 t 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 (*.f64 t -8) 4))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 (*.f64 t 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 (*.f64 t -8) 4))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 (*.f64 t 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 (*.f64 t -8) 4))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 (*.f64 t 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 (*.f64 t -8) 4))
(*.f64 t (*.f64 t (fma.f64 t -8 4)))
(*.f64 (*.f64 t t) (fma.f64 t -8 4))

localize93.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
✓0.3b
(/.f64 12 (*.f64 t t))
✓0.4b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))))
3.2b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Compiler

Compiled 165 to 126 computations (23.6% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
t
@0
(/.f64 12 (*.f64 t t))
1.0ms
t
@0
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))))
0.0ms
t
@inf
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))))
0.0ms
t
@-inf
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))))
0.0ms
t
@inf
(/.f64 12 (*.f64 t t))

rewrite116.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
434×log1p-udef_binary64
259×add-sqr-sqrt_binary64
249×pow1_binary64
248×*-un-lft-identity_binary64
244×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02166
151161
2770961
Stop Event
1×node limit
Counts
3 → 112
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))))
(/.f64 12 (*.f64 t t))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
Outputs
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simplify60.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
615×associate-/r*_binary64
404×fma-def_binary64
354×times-frac_binary64
294×distribute-lft-out_binary64
294×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047384
1126384
2294381
3790375
42428375
56585375
Stop Event
1×node limit
Counts
148 → 136
Calls
Call 1
Inputs
(*.f64 1/12 (pow.f64 t 2))
(+.f64 (*.f64 1/18 (pow.f64 t 3)) (*.f64 1/12 (pow.f64 t 2)))
(+.f64 (*.f64 1/18 (pow.f64 t 3)) (+.f64 (*.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4))))
(+.f64 (*.f64 -77/162 (pow.f64 t 5)) (+.f64 (*.f64 1/18 (pow.f64 t 3)) (+.f64 (*.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(-.f64 (*.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 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (*.f64 12 (/.f64 1 (pow.f64 t 2)))) (*.f64 8 (/.f64 1 t)))
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 8 (/.f64 1 t)))
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 8 (/.f64 1 t)))
Outputs
(*.f64 1/12 (pow.f64 t 2))
(*.f64 1/12 (*.f64 t t))
(+.f64 (*.f64 1/18 (pow.f64 t 3)) (*.f64 1/12 (pow.f64 t 2)))
(fma.f64 1/18 (pow.f64 t 3) (*.f64 1/12 (*.f64 t t)))
(fma.f64 1/12 (*.f64 t t) (*.f64 1/18 (pow.f64 t 3)))
(*.f64 (*.f64 t t) (+.f64 1/12 (*.f64 t 1/18)))
(*.f64 t (*.f64 t (fma.f64 t 1/18 1/12)))
(+.f64 (*.f64 1/18 (pow.f64 t 3)) (+.f64 (*.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4))))
(fma.f64 1/18 (pow.f64 t 3) (fma.f64 1/12 (*.f64 t t) (*.f64 71/216 (pow.f64 t 4))))
(fma.f64 71/216 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 1/12 (*.f64 t 1/18))))
(fma.f64 (*.f64 t t) (fma.f64 t 1/18 1/12) (*.f64 71/216 (pow.f64 t 4)))
(+.f64 (*.f64 -77/162 (pow.f64 t 5)) (+.f64 (*.f64 1/18 (pow.f64 t 3)) (+.f64 (*.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4)))))
(fma.f64 -77/162 (pow.f64 t 5) (fma.f64 1/18 (pow.f64 t 3) (fma.f64 1/12 (*.f64 t t) (*.f64 71/216 (pow.f64 t 4)))))
(fma.f64 -77/162 (pow.f64 t 5) (fma.f64 71/216 (pow.f64 t 4) (*.f64 (*.f64 t t) (+.f64 1/12 (*.f64 t 1/18)))))
(fma.f64 71/216 (pow.f64 t 4) (fma.f64 (*.f64 t t) (fma.f64 t 1/18 1/12) (*.f64 -77/162 (pow.f64 t 5))))
(fma.f64 t (*.f64 t (fma.f64 t 1/18 1/12)) (fma.f64 71/216 (pow.f64 t 4) (*.f64 -77/162 (pow.f64 t 5))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 -2/9 t))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 1/27 t) t))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 (/.f64 -2/9 t) (/.f64 -176/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 176/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 1/27 (/.f64 176/81 t)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 -2/9 t))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 1/27 t) t))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (*.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 (/.f64 -2/9 t) (/.f64 -176/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 176/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 1/27 (/.f64 176/81 t)))))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(-.f64 (*.f64 12 (/.f64 1 (pow.f64 t 2))) (*.f64 8 (/.f64 1 t)))
(-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))
(*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 8))
(-.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 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 8)))
(-.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 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 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 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 8)))
(-.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 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 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 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 8)))
(-.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 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 8)))

eval1.5s (13.9%)

Compiler

Compiled 60649 to 50582 computations (16.6% saved)

prune231.0ms (2.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New159291601
Fresh101
Picked101
Done415
Total1598101608
Error
0b
Counts
1608 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
25.2b
1/2
▶28.1b
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
30.1b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
✓0b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
▶27.0b
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
▶32.7b
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 1/27 (/.f64 176/81 t)))))
▶32.0b
(+.f64 5/6 (/.f64 -2/9 t))
27.1b
5/6
▶32.2b
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
31.7b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 8)))))
Compiler

Compiled 324 to 266 computations (17.9% saved)

localize23.0ms (0.2%)

Compiler

Compiled 43 to 36 computations (16.3% saved)

localize7.0ms (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)

series3.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite58.0ms (0.5%)

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)))))

simplify12.0ms (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))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 32 to 20 computations (37.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite92.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
939×prod-diff_binary64
481×log-prod_binary64
404×fma-def_binary64
234×log-div_binary64
210×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
124121
2349921
Stop Event
1×node limit
Counts
2 → 106
Calls
Call 1
Inputs
(/.f64 1/27 (*.f64 t t))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
Outputs
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log1p.f64 (expm1.f64 (+.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 5/6 (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 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/27 (pow.f64 t -2)) 1 (+.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) (+.f64 5/6 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/9 t) 1 (+.f64 5/6 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 5/6 (/.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 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule 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-2/9 t))) (pow.f64 (cbrt.f64 (+.f64 5/6 (/.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 5/6 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) (+.f64 5/6 (*.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 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/27 (/.f64 1 (*.f64 t (neg.f64 t))) (+.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 (neg.f64 t)) (+.f64 5/6 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36)) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -2) 1/27 (+.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -2/9 (+.f64 5/6 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 25/36 (/.f64 4/81 (*.f64 t t))) (/.f64 1 (-.f64 5/6 (/.f64 -2/9 t))) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/27 t) (/.f64 1 t) (+.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))) (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) (sqrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) 5/6)))))

simplify60.0ms (0.6%)

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

Useful iterations: 6 (0.0ms)

IterNodesCost
019216
146216
279216
3142216
4292216
5816216
63582204
76919204
Stop Event
1×node limit
Counts
130 → 116
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)))
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)

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓15.7b
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
Compiler

Compiled 42 to 30 computations (28.6% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite67.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
582×prod-diff_binary64
495×log-prod_binary64
383×fma-def_binary64
297×pow-prod-down_binary64
268×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01022
121818
2287518
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 t (*.f64 t 4) 1) (/.f64 1 (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -2)) (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) (*.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 1)) (/.f64 1 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 t 2)) (*.f64 (hypot.f64 1 (*.f64 t 2)) (/.f64 1 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 t (*.f64 t 4) 1)) (/.f64 1 (neg.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 4 (*.f64 t t) 2)) (fma.f64 t (*.f64 t 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) 1) (/.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 1)) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) 1) (/.f64 (hypot.f64 1 (*.f64 t 2)) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 2)) -2) (/.f64 (fma.f64 t (*.f64 t 4) 1) (cbrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) (pow.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (pow.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 2)) 2)) (/.f64 (hypot.f64 1 (*.f64 t 2)) (cbrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 2) -1/2) (/.f64 (fma.f64 t (*.f64 t 4) 1) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) (/.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 1)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 (pow.f64 t 6) 64 8)) (fma.f64 (*.f64 4 (*.f64 t t)) (fma.f64 4 (*.f64 t t) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (-.f64 4 (*.f64 (pow.f64 t 4) 16))) (-.f64 2 (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 6) (pow.f64 (fma.f64 4 (*.f64 t t) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (neg.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 6) (pow.f64 (fma.f64 4 (*.f64 t t) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))) 1))))))

simplify49.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
784×distribute-neg-frac_binary64
611×times-frac_binary64
388×associate-/l/_binary64
285×unswap-sqr_binary64
268×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032159
187157
2212153
3563153
42140153
56512153
Stop Event
1×node limit
Counts
53 → 55
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2)))
(+.f64 1/2 (+.f64 (*.f64 4 (pow.f64 t 6)) (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2)))
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 4) (*.f64 t t)))
(+.f64 1/2 (fma.f64 t t (*.f64 -2 (pow.f64 t 4))))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 4) 1/2))
(+.f64 1/2 (+.f64 (*.f64 4 (pow.f64 t 6)) (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 6) (fma.f64 -2 (pow.f64 t 4) (*.f64 t t))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 6) (fma.f64 t t (*.f64 -2 (pow.f64 t 4)))))
(fma.f64 4 (pow.f64 t 6) (fma.f64 t t (fma.f64 -2 (pow.f64 t 4) 1/2)))
(fma.f64 -2 (pow.f64 t 4) (fma.f64 4 (pow.f64 t 6) (fma.f64 t t 1/2)))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 4) (fma.f64 4 (pow.f64 t 6) 1/2)))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 1 (/.f64 1/4 (*.f64 t t)))
(+.f64 1 (/.f64 -1/4 (*.f64 t t)))
(+.f64 1 (/.f64 (/.f64 -1/4 t) t))
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t))))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 1 (/.f64 -1/4 (*.f64 t t))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 (/.f64 -1/4 t) t)))
(+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 1/8 (pow.f64 t 4)))
(+.f64 (-.f64 1 (/.f64 1/4 (*.f64 t t))) (/.f64 1/8 (pow.f64 t 4)))
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/16 (pow.f64 t 6))) (/.f64 (/.f64 -1/4 t) t)))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 -1/16 (pow.f64 t 6))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (-.f64 (/.f64 -1/16 (pow.f64 t 6)) (/.f64 1/4 (*.f64 t t)))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 1 (/.f64 1/4 (*.f64 t t)))
(+.f64 1 (/.f64 -1/4 (*.f64 t t)))
(+.f64 1 (/.f64 (/.f64 -1/4 t) t))
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t))))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 1 (/.f64 -1/4 (*.f64 t t))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 (/.f64 -1/4 t) t)))
(+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 1/8 (pow.f64 t 4)))
(+.f64 (-.f64 1 (/.f64 1/4 (*.f64 t t))) (/.f64 1/8 (pow.f64 t 4)))
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/16 (pow.f64 t 6))) (/.f64 (/.f64 -1/4 t) t)))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 -1/16 (pow.f64 t 6))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (-.f64 (/.f64 -1/16 (pow.f64 t 6)) (/.f64 1/4 (*.f64 t t)))))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 1 (*.f64 t t)) (-.f64 1/27 (/.f64 176/81 t)))
✓0.3b
(/.f64 1 (*.f64 t t))
0.4b
(/.f64 -2/9 t)
✓0.4b
(/.f64 176/81 t)
Compiler

Compiled 69 to 46 computations (33.3% saved)

series7.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
t
@0
(*.f64 (/.f64 1 (*.f64 t t)) (-.f64 1/27 (/.f64 176/81 t)))
1.0ms
t
@0
(/.f64 176/81 t)
1.0ms
t
@inf
(/.f64 176/81 t)
1.0ms
t
@inf
(*.f64 (/.f64 1 (*.f64 t t)) (-.f64 1/27 (/.f64 176/81 t)))
1.0ms
t
@-inf
(*.f64 (/.f64 1 (*.f64 t t)) (-.f64 1/27 (/.f64 176/81 t)))

rewrite116.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
445×log-prod_binary64
365×prod-exp_binary64
346×exp-prod_binary64
272×pow-prod-down_binary64
258×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01024
122121
2281721
Stop Event
1×node limit
Counts
3 → 161
Calls
Call 1
Inputs
(/.f64 176/81 t)
(/.f64 1 (*.f64 t t))
(*.f64 (/.f64 1 (*.f64 t t)) (-.f64 1/27 (/.f64 176/81 t)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 176/81 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 176/81 t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 176/81 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 176/81 t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 176/81 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 176/81 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 176/81 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 176/81 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 176/81 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 176/81 t)) (cbrt.f64 (pow.f64 (*.f64 t 81/176) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 t 81/176) -2)) (cbrt.f64 (/.f64 176/81 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 176/81 t)) (sqrt.f64 (/.f64 176/81 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -176/81 (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) 176/81)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 176/81 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 176/81 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t 81/176) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 176/81 t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 176/81 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5451776/531441 (pow.f64 t -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 81/176) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 t 81/176) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 176/81 t))) 2)) (cbrt.f64 (log.f64 (/.f64 176/81 t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 176/81 t)))) (sqrt.f64 (log.f64 (/.f64 176/81 t))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t 81/176) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 176/81 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 176/81 t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 5451776/531441 (pow.f64 t -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 176/81 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 176/81 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 176/81 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 176/81 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 176/81 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 176/81 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 176/81 t))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t 81/176)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 176/81 t)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 176/81 t)) 3) 1/3))))))
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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1/27 (/.f64 -176/81 t))) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 t -2) (+.f64 1/27 (/.f64 -176/81 t)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 1/27 (/.f64 -176/81 t))) 1) (*.f64 2 (log.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 1/27 (/.f64 -176/81 t))) (*.f64 (log.f64 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 1/27 (/.f64 -176/81 t))) 1) (*.f64 (log.f64 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 1/27 (/.f64 -176/81 t))) (*.f64 (*.f64 2 (log.f64 t)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 1/27 (/.f64 -176/81 t))) 1) (*.f64 (*.f64 2 (log.f64 t)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 t)) -1) (log.f64 (+.f64 1/27 (/.f64 -176/81 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 t)) 1) (log.f64 (+.f64 1/27 (/.f64 -176/81 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -2 (log.f64 t)) (*.f64 (log.f64 (+.f64 1/27 (/.f64 -176/81 t))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 t)) -1) (*.f64 (log.f64 (+.f64 1/27 (/.f64 -176/81 t))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 t)) 1) (*.f64 (log.f64 (+.f64 1/27 (/.f64 -176/81 t))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 1/27 (/.f64 -176/81 t))) 1) (*.f64 -2 (log.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 1/27 (/.f64 -176/81 t))) (*.f64 (*.f64 2 (log.f64 t)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 1/27 (/.f64 -176/81 t))) 1) (*.f64 (*.f64 2 (log.f64 t)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 1/27 (/.f64 -176/81 t))) (*.f64 (*.f64 -2 (log.f64 t)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 1/27 (/.f64 -176/81 t))) 1) (*.f64 (*.f64 -2 (log.f64 t)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -2) 1/27 (*.f64 (pow.f64 t -2) (/.f64 -176/81 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/27 (pow.f64 t -2) (*.f64 (/.f64 -176/81 t) (pow.f64 t -2)))))))

simplify76.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
544×distribute-neg-frac_binary64
542×fma-def_binary64
536×unswap-sqr_binary64
461×associate-/r*_binary64
357×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017249
141249
287249
3211249
4728249
53398249
66142249
Stop Event
1×node limit
Counts
185 → 168
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 -176/81 (pow.f64 t 3))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))
(/.f64 1/27 (pow.f64 t 2))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))
(/.f64 1/27 (pow.f64 t 2))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))
Outputs
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 -176/81 (pow.f64 t 3))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 176/81 (pow.f64 t 3)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -176/81 (pow.f64 t 3)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 176/81 (pow.f64 t 3)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -176/81 (pow.f64 t 3)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 176/81 (pow.f64 t 3)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -176/81 (pow.f64 t 3)))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 176/81 (pow.f64 t 3)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -176/81 (pow.f64 t 3)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 176/81 (pow.f64 t 3)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -176/81 (pow.f64 t 3)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 176/81 (pow.f64 t 3)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -176/81 (pow.f64 t 3)))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 176/81 (pow.f64 t 3)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -176/81 (pow.f64 t 3)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 176/81 (pow.f64 t 3)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -176/81 (pow.f64 t 3)))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 176/81 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 176/81 (pow.f64 t 3)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -176/81 (pow.f64 t 3)))

eval333.0ms (3.1%)

Compiler

Compiled 8482 to 6576 computations (22.5% saved)

prune111.0ms (1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New4645469
Fresh314
Picked101
Done235
Total4709479
Error
0b
Counts
479 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.1b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
▶32.5b
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
✓28.1b
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
▶32.0b
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
✓0b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
27.1b
5/6
✓32.0b
(+.f64 5/6 (/.f64 -2/9 t))
25.2b
1/2
▶32.2b
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))
Compiler

Compiled 136 to 113 computations (16.9% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 36 to 21 computations (41.7% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite115.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
502×log-prod_binary64
411×fma-def_binary64
346×pow-prod-down_binary64
313×pow2_binary64
255×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
124625
2364225
Stop Event
1×node limit
Counts
2 → 149
Calls
Call 1
Inputs
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))
(+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) (fma.f64 1/27 (pow.f64 t -2) 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 (+.f64 (/.f64 -2/9 t) (fma.f64 1/27 (pow.f64 t -2) 5/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2/9 t) (fma.f64 1/27 (pow.f64 t -2) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) (fma.f64 1/27 (pow.f64 t -2) 5/6))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) (fma.f64 1/27 (pow.f64 t -2) 5/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) (fma.f64 1/27 (pow.f64 t -2) 5/6))) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) (fma.f64 1/27 (pow.f64 t -2) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) (fma.f64 1/27 (pow.f64 t -2) 5/6))) (sqrt.f64 (+.f64 (/.f64 -2/9 t) (fma.f64 1/27 (pow.f64 t -2) 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 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3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 t 3) (fma.f64 t 1/27 (*.f64 (*.f64 -2/9 t) t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 4/81 (pow.f64 t -2) (/.f64 1/729 (pow.f64 t 4))) (/.f64 -2/243 (pow.f64 t 3))) (fma.f64 1/19683 (pow.f64 t -6) (*.f64 -8/729 (pow.f64 t -3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 -2/9 (/.f64 1/27 t)) t) (-.f64 (*.f64 4/81 (pow.f64 t -2)) (/.f64 1/729 (pow.f64 t 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/27 (pow.f64 t -2) (/.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 log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/27 (pow.f64 t -2)))) (exp.f64 (/.f64 -2/9 t))))))) (#(struct:change #<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 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 -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 1/27 (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 1 (/.f64 -2/9 t) (*.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 (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 (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 (/.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 (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 2/9 (/.f64 1 (neg.f64 t)) (*.f64 1/27 (pow.f64 t -2)))))) (#(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 (/.f64 1 t) -2/9 (*.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 1/27 t) (/.f64 1 t) (/.f64 -2/9 t))))))

simplify64.0ms (0.6%)

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
021264
147264
279264
3142264
4292264
5822264
63584252
76916252
Stop Event
1×node limit
Counts
173 → 160
Calls
Call 1
Inputs
(/.f64 1/27 (pow.f64 t 2))
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 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 (*.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))

localize13.0ms (0.1%)

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
0.0ms
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))

rewrite63.0ms (0.6%)

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
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/.f64 (-.f64 (/.f64 4/81 (*.f64 t t)) 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) 2) 1/2)))) (#(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 pow.f64 (/.f64 (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36) (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 5/6 (/.f64 -2/9 t)) (-.f64 25/36 (/.f64 4/81 (*.f64 t t)))) -1)))) (#(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 expm1.f64 (log.f64 (+.f64 11/6 (/.f64 -2/9 t))))))) (#(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 exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1))))) (#(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 1 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 11/6 (/.f64 -2/9 t)) -1)))) (#(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 (/.f64 -2/9 t) 1 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -2/9 t)) 1 -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) -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 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 (neg.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (fma.f64 (/.f64 -2/9 t) (+.f64 (/.f64 -2/9 t) -1) 1)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -2/9 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (/.f64 -2/9 t) 2)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 4/81 (*.f64 t t))) (/.f64 1 (-.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 -2/9 t)))) 5/6)))))

simplify15.0ms (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
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))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
t
@-inf
(+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))
0.0ms
t
@0
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
0.0ms
t
@0
(+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))
0.0ms
t
@inf
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
0.0ms
t
@-inf
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)

rewrite82.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0936
121621
2301421
Stop Event
1×node limit
Counts
3 → 275
Calls
Call 1
Inputs
(-.f64 (+.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> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))))) (#(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 (/.f64 -2/9 t) 11/6) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 2) (+.f64 1 (+.f64 (/.f64 -2/9 t) 11/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 3) -1) (pow.f64 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(#(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 pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 2) (+.f64 1 (+.f64 (/.f64 -2/9 t) 11/6))) (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 11/6)) (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 25/36 (/.f64 -5/27 t))) (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 -2/9 t) -5/6) (+.f64 (/.f64 4/81 (*.f64 t t)) -25/36)) -1)))) (#(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 hypot.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (*.f64 (+.f64 (/.f64 -2/9 t) 5/6) (+.f64 (/.f64 -2/9 t) -1/6))))))) (#(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 expm1.f64 (*.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1))))) (#(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 exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1))))) (#(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 1 (+.f64 (/.f64 -2/9 t) 5/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 -2/9 t) 11/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 -2/9 t) -1/6) 1)))) (#(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 -2/9 (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/9 t) 1 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 -2/9 t) 11/6) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) (*.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 (neg.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 2) (+.f64 1 (+.f64 (/.f64 -2/9 t) 11/6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 25/36 (/.f64 -5/27 t)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3)) (/.f64 1 (fma.f64 (+.f64 (/.f64 -2/9 t) 5/6) (+.f64 (/.f64 -2/9 t) -1/6) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -2/9 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 2) -1) (/.f64 1 (+.f64 1 (+.f64 (/.f64 -2/9 t) 11/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) -25/36) (/.f64 1 (+.f64 (/.f64 -2/9 t) -5/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2)) (/.f64 1 (-.f64 1/6 (/.f64 -2/9 t))) -1)))) (#(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 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) 1)))) (#(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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 1) (-.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1) (-.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1) 1)))))

simplify21.0ms (0.2%)

Algorithm
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))

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
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 t))
3.2b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
✓15.2b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
Compiler

Compiled 111 to 86 computations (22.5% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite83.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
937×prod-diff_binary64
344×log1p-udef_binary64
202×add-sqr-sqrt_binary64
196×*-un-lft-identity_binary64
196×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01759
139855
2580655
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (/.f64 1 (fma.f64 t (*.f64 t 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (fma.f64 t (*.f64 t 4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) (/.f64 1 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f64 t 4) 2))) (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) 2) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))) (/.f64 (cbrt.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1)) (sqrt.f64 (fma.f64 t (*.f64 t 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 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 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 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 (/.f64 (fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 2 t)) (*.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) (*.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 t) 2) (*.f64 (*.f64 2 t) (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 8 (/.f64 8 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 3))) (*.f64 2 t)) (+.f64 4 (*.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (pow.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) 2)) (*.f64 2 t)) (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 t) (-.f64 8 (/.f64 8 (pow.f64 (*.f64 t (+.f64 1 (/.f64 1 t))) 3)))) (+.f64 4 (*.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 t) (-.f64 4 (pow.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) 2))) (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (*.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 t (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))) 1))))))

simplify50.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
673×fma-def_binary64
461×times-frac_binary64
385×fma-neg_binary64
339×associate-*r/_binary64
338×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052335
1152329
2406323
31146316
43558316
Stop Event
1×node limit
Counts
78 → 84
Calls
Call 1
Inputs
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 2) (*.f64 2 (pow.f64 t 5)))))
(/.f64 1 t)
(-.f64 (/.f64 1 t) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (+.f64 (*.f64 5/8 (/.f64 1 (pow.f64 t 4))) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))))
(/.f64 1 t)
(-.f64 (/.f64 1 t) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (+.f64 (*.f64 5/8 (/.f64 1 (pow.f64 t 4))) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))))
(*.f64 4 (pow.f64 t 2))
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (+.f64 (*.f64 -4 (pow.f64 t 5)) (*.f64 4 (pow.f64 t 2)))))
(*.f64 4 t)
(-.f64 (*.f64 4 t) 4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))
(*.f64 4 t)
(-.f64 (*.f64 4 t) 4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))
Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (*.f64 t t)))
(fma.f64 -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 2) (*.f64 2 (pow.f64 t 5)))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (*.f64 2 (pow.f64 t 5)))))
(+.f64 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) (*.f64 2 (pow.f64 t 5)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 2 (pow.f64 t 5) (fma.f64 t t 1/2)))
(fma.f64 t t (fma.f64 2 (pow.f64 t 5) (fma.f64 -2 (pow.f64 t 3) 1/2)))
(/.f64 1 t)
(-.f64 (/.f64 1 t) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 1 t) (/.f64 3/4 (*.f64 t t)))
(-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t))
(+.f64 (/.f64 1 t) (/.f64 -3/4 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/2 (pow.f64 t 3)) (-.f64 (/.f64 1 t) (/.f64 3/4 (*.f64 t t))))
(+.f64 (/.f64 1 t) (-.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 (/.f64 3/4 t) t)))
(+.f64 (-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t)) (/.f64 1/2 (pow.f64 t 3)))
(+.f64 (/.f64 1 t) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -3/4 (*.f64 t t))))
(-.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 3/4 (*.f64 t t)) (/.f64 -1 t)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (+.f64 (*.f64 5/8 (/.f64 1 (pow.f64 t 4))) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 1 t) (/.f64 1/2 (pow.f64 t 3))) (+.f64 (/.f64 3/4 (*.f64 t t)) (/.f64 5/8 (pow.f64 t 4))))
(+.f64 (/.f64 1 t) (-.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 3/4 t) t) (/.f64 5/8 (pow.f64 t 4)))))
(+.f64 (-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t)) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -5/8 (pow.f64 t 4))))
(+.f64 (+.f64 (/.f64 1 t) (/.f64 -3/4 (*.f64 t t))) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -5/8 (pow.f64 t 4))))
(+.f64 (/.f64 1 t) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 -3/4 (*.f64 t t)) (/.f64 -5/8 (pow.f64 t 4)))))
(/.f64 1 t)
(-.f64 (/.f64 1 t) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 1 t) (/.f64 3/4 (*.f64 t t)))
(-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t))
(+.f64 (/.f64 1 t) (/.f64 -3/4 (*.f64 t t)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (*.f64 3/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/2 (pow.f64 t 3)) (-.f64 (/.f64 1 t) (/.f64 3/4 (*.f64 t t))))
(+.f64 (/.f64 1 t) (-.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 (/.f64 3/4 t) t)))
(+.f64 (-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t)) (/.f64 1/2 (pow.f64 t 3)))
(+.f64 (/.f64 1 t) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -3/4 (*.f64 t t))))
(-.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 3/4 (*.f64 t t)) (/.f64 -1 t)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 t 3))) (/.f64 1 t)) (+.f64 (*.f64 5/8 (/.f64 1 (pow.f64 t 4))) (*.f64 3/4 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 1 t) (/.f64 1/2 (pow.f64 t 3))) (+.f64 (/.f64 3/4 (*.f64 t t)) (/.f64 5/8 (pow.f64 t 4))))
(+.f64 (/.f64 1 t) (-.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 3/4 t) t) (/.f64 5/8 (pow.f64 t 4)))))
(+.f64 (-.f64 (/.f64 1 t) (/.f64 (/.f64 3/4 t) t)) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -5/8 (pow.f64 t 4))))
(+.f64 (+.f64 (/.f64 1 t) (/.f64 -3/4 (*.f64 t t))) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (/.f64 -5/8 (pow.f64 t 4))))
(+.f64 (/.f64 1 t) (+.f64 (/.f64 1/2 (pow.f64 t 3)) (+.f64 (/.f64 -3/4 (*.f64 t t)) (/.f64 -5/8 (pow.f64 t 4)))))
(*.f64 4 (pow.f64 t 2))
(*.f64 (*.f64 t t) 4)
(*.f64 t (*.f64 t 4))
(+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))
(fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t -4)))
(*.f64 (*.f64 t t) (fma.f64 t -4 4))
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 (*.f64 t t) 4)))
(fma.f64 4 (pow.f64 t 4) (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 3) -4)))
(fma.f64 (pow.f64 t 3) -4 (*.f64 4 (+.f64 (pow.f64 t 4) (*.f64 t t))))
(*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 4 -4))))
(+.f64 (*.f64 4 (pow.f64 t 4)) (+.f64 (*.f64 -4 (pow.f64 t 3)) (+.f64 (*.f64 -4 (pow.f64 t 5)) (*.f64 4 (pow.f64 t 2)))))
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (fma.f64 -4 (pow.f64 t 5) (*.f64 (*.f64 t t) 4))))
(fma.f64 4 (pow.f64 t 4) (fma.f64 (pow.f64 t 3) -4 (fma.f64 (*.f64 t t) 4 (*.f64 (pow.f64 t 5) -4))))
(fma.f64 -4 (+.f64 (pow.f64 t 3) (pow.f64 t 5)) (*.f64 4 (+.f64 (pow.f64 t 4) (*.f64 t t))))
(fma.f64 (pow.f64 t 5) -4 (*.f64 (*.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 4 -4)))))
(*.f64 4 t)
(*.f64 t 4)
(-.f64 (*.f64 4 t) 4)
(fma.f64 4 t -4)
(fma.f64 t 4 -4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4)
(+.f64 (/.f64 4 t) (fma.f64 4 t -4))
(+.f64 -4 (fma.f64 t 4 (/.f64 4 t)))
(fma.f64 t 4 (+.f64 -4 (/.f64 4 t)))
(+.f64 (fma.f64 t 4 -4) (/.f64 4 t))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 4 t) (fma.f64 4 t -4)) (/.f64 4 (*.f64 t t)))
(+.f64 (fma.f64 t 4 (/.f64 4 t)) (-.f64 -4 (/.f64 4 (*.f64 t t))))
(+.f64 (fma.f64 t 4 -4) (-.f64 (/.f64 4 t) (/.f64 4 (*.f64 t t))))
(+.f64 -4 (-.f64 (fma.f64 t 4 (/.f64 4 t)) (/.f64 4 (*.f64 t t))))
(fma.f64 4 (+.f64 t (-.f64 (/.f64 1 t) (/.f64 (/.f64 1 t) t))) -4)
(*.f64 4 t)
(*.f64 t 4)
(-.f64 (*.f64 4 t) 4)
(fma.f64 4 t -4)
(fma.f64 t 4 -4)
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) 4)
(+.f64 (/.f64 4 t) (fma.f64 4 t -4))
(+.f64 -4 (fma.f64 t 4 (/.f64 4 t)))
(fma.f64 t 4 (+.f64 -4 (/.f64 4 t)))
(+.f64 (fma.f64 t 4 -4) (/.f64 4 t))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 t)) (*.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 4 t) (fma.f64 4 t -4)) (/.f64 4 (*.f64 t t)))
(+.f64 (fma.f64 t 4 (/.f64 4 t)) (-.f64 -4 (/.f64 4 (*.f64 t t))))
(+.f64 (fma.f64 t 4 -4) (-.f64 (/.f64 4 t) (/.f64 4 (*.f64 t t))))
(+.f64 -4 (-.f64 (fma.f64 t 4 (/.f64 4 t)) (/.f64 4 (*.f64 t t))))
(fma.f64 4 (+.f64 t (-.f64 (/.f64 1 t) (/.f64 (/.f64 1 t) t))) -4)

eval537.0ms (5%)

Compiler

Compiled 15192 to 12508 computations (17.7% saved)

prune136.0ms (1.3%)

Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New8064810
Fresh112
Picked011
Done156
Total80811819
Error
0b
Counts
819 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
25.2b
1/2
27.6b
(-.f64 11/6 1)
✓30.1b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
✓32.5b
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
32.5b
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
✓28.1b
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
27.1b
5/6
32.0b
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
✓32.2b
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))
✓0b
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
✓32.0b
(+.f64 5/6 (/.f64 -2/9 t))
Compiler

Compiled 146 to 122 computations (16.4% saved)

regimes102.0ms (0.9%)

Counts
25 → 1
Calls
Call 1
Inputs
5/6
5/6
1/2
1/2
5/6
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 1/27 (/.f64 176/81 t)))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 4))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 8)))))
(/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
Outputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
Calls

5 calls:

66.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
14.0ms
t
4.0ms
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
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)))))
3.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Results
ErrorSegmentsBranch
0b1t
0b1(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0b1(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
0b1(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0b1(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
Compiler

Compiled 540 to 443 computations (18% saved)

regimes147.0ms (1.4%)

Counts
24 → 3
Calls
Call 1
Inputs
5/6
5/6
1/2
1/2
5/6
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 1/27 (/.f64 176/81 t)))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 4))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 8)))))
(/.f64 (+.f64 1 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))))
Outputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 8)))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))
Calls

7 calls:

67.0ms
t
22.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
21.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
8.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
7.0ms
(*.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
0.3b3t
0.3b2(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
0.3b2(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
0.3b2(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0.3b2(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0.3b2(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
0.3b2(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
Compiler

Compiled 483 to 394 computations (18.4% saved)

bsearch136.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
57.0ms
1.3495707030503094e-5
27.989725222556036
78.0ms
-13980679.245335814
-8.891360039341824e-10
Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes95.0ms (0.9%)

Counts
21 → 2
Calls
Call 1
Inputs
5/6
5/6
1/2
1/2
5/6
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 1/27 (/.f64 176/81 t)))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 4))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))
Outputs
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4))))
Calls

7 calls:

31.0ms
t
19.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
17.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
6.0ms
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
5.0ms
(*.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
0.3b3t
0.3b2(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
0.3b2(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
0.3b2(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0.3b2(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0.3b2(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
0.3b2(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
Compiler

Compiled 366 to 299 computations (18.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.06898996056864519
1.9999730089502024
Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes30.0ms (0.3%)

Counts
16 → 3
Calls
Call 1
Inputs
5/6
5/6
1/2
1/2
5/6
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (*.f64 (/.f64 1 (*.f64 t t)) (-.f64 1/27 (/.f64 176/81 t)))))
Outputs
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))
Calls

1 calls:

26.0ms
t
Results
ErrorSegmentsBranch
0.3b3t
Compiler

Compiled 117 to 93 computations (20.5% saved)

bsearch116.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
63.0ms
1.3495707030503094e-5
27.989725222556036
53.0ms
-13980679.245335814
-8.891360039341824e-10
Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes42.0ms (0.4%)

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

1 calls:

36.0ms
t
Results
ErrorSegmentsBranch
0.3b3t
Compiler

Compiled 70 to 57 computations (18.6% saved)

bsearch99.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
47.0ms
1.3495707030503094e-5
27.989725222556036
51.0ms
-13980679.245335814
-8.891360039341824e-10
Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes23.0ms (0.2%)

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

1 calls:

20.0ms
t
Results
ErrorSegmentsBranch
0.4b3t
Compiler

Compiled 48 to 42 computations (12.5% saved)

bsearch97.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
47.0ms
1.3495707030503094e-5
27.989725222556036
49.0ms
-13980679.245335814
-8.891360039341824e-10
Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes19.0ms (0.2%)

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

1 calls:

17.0ms
t
Results
ErrorSegmentsBranch
0.4b3t
Compiler

Compiled 23 to 20 computations (13% saved)

bsearch106.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
57.0ms
1.3495707030503094e-5
27.989725222556036
49.0ms
-13980679.245335814
-8.891360039341824e-10
Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes15.0ms (0.1%)

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

1 calls:

13.0ms
t
Results
ErrorSegmentsBranch
0.9b3t
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch97.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
46.0ms
1.3495707030503094e-5
27.989725222556036
50.0ms
-13980679.245335814
-8.891360039341824e-10
Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes5.0ms (0%)

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:

4.0ms
t
Results
ErrorSegmentsBranch
27.1b1t
Compiler

Compiled 5 to 4 computations (20% saved)

simplify18.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
17×+-commutative_binary64
7×*-commutative_binary64
5×sub-neg_binary64
2×distribute-neg-frac_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063442
190442
298442
3105442
4108442
5109442
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(if (<=.f64 t -60046560134583280/4294967296) (/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 8))))) (if (<=.f64 t 7966459317934505/590295810358705651712) (/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))))
(if (<=.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) 1844674407370955264/18446744073709551616) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t)))) (/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4)))))
(if (<=.f64 t -60046560134583280/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t 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 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t 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 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(if (<=.f64 t -60046560134583280/4294967296) (/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 8))))) (if (<=.f64 t 7966459317934505/590295810358705651712) (/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))))
(if (<=.f64 t -3752910008411455/268435456) (/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (+.f64 4 (*.f64 (/.f64 1 t) (+.f64 (/.f64 12 t) -8))))) (if (<=.f64 t 7966459317934505/590295810358705651712) (/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))))
(if (<=.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) 1844674407370955264/18446744073709551616) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t)))) (/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4)))))
(if (<=.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) 3602879701896397/36028797018963968) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t)))) (/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (*.f64 2 t))) (+.f64 2 (*.f64 t (*.f64 t 4)))))
(if (<=.f64 t -60046560134583280/4294967296) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))))
(if (<=.f64 t -3752910008411455/268435456) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 7966459317934505/590295810358705651712) (/.f64 (+.f64 1 (*.f64 t (*.f64 t 4))) (+.f64 2 (*.f64 t (*.f64 t 4)))) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t 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 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t 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 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t 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 311 to 251 computations (19.3% saved)

soundness0.0ms (0%)

end189.0ms (1.7%)

Compiler

Compiled 303 to 240 computations (20.8% saved)

Profiling

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