Details

Time bar (total: 13.1s)

analyze490.0ms (3.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
6.3%6.2%93.6%0.1%0%0%0%7
9.4%9.4%90.5%0.1%0%0%0%8
14.1%14%85.8%0.1%0%0%0%9
25.8%25.7%74.1%0.1%0%0%0%10
30.1%30%69.8%0.1%0%0%0%11
34.2%34.1%65.7%0.1%0%0%0%12
Compiler

Compiled 25 to 19 computations (24% saved)

sample1.6s (12.4%)

Results
1.6s8256×body256valid
Bogosity

preprocess100.0ms (0.8%)

Algorithm
egg-herbie
Rules
3970×fma-def
788×*-commutative
450×associate-*r*
418×associate-/l*
372×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043196
1111196
2233180
3483180
41003180
51762180
62104180
72403180
82765180
93059180
103066180
114504180
124504180
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 y (/.f64 (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))
Outputs
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 y (/.f64 (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 y (/.f64 x (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 y (/.f64 x (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(fma.f64 (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(fma.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(+.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+.f64 z (/.f64 y (/.f64 (fma.f64 (+.f64 x 6012459259764103/1000000000000000) x 104698244219447/31250000000000) (fma.f64 (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) x 11167812716741/40000000000000))))
(+.f64 z (*.f64 (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) z)
(fma.f64 (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)
(fma.f64 y (/.f64 (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)
(+.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))
(+.f64 x (/.f64 z (/.f64 (fma.f64 (+.f64 y 6012459259764103/1000000000000000) y 104698244219447/31250000000000) (fma.f64 (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) y 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 z (/.f64 (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify39.0ms (0.3%)

Algorithm
egg-herbie
Rules
1044×fma-def
212×*-commutative
114×associate-*r*
110×associate-/l*
98×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02049
14149
27745
315545
430045
549745
670345
780845
898945
9114245
10120245
11120345
Stop Event
saturated
Counts
1 → 7
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Outputs
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

eval2.0ms (0%)

Compiler

Compiled 128 to 86 computations (32.8% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New347
Fresh011
Picked000
Done000
Total358
Error
16.1b
Counts
8 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
16.2b
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)
19.5b
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
16.3b
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
17.0b
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
Compiler

Compiled 86 to 62 computations (27.9% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
0.3b
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
3.6b
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
18.4b
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
Compiler

Compiled 73 to 50 computations (31.5% saved)

series11.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
y
@0
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
1.0ms
y
@0
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
1.0ms
z
@inf
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
1.0ms
y
@inf
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
1.0ms
z
@-inf
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))

rewrite126.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1668×associate-*r/
1298×associate-*l/
934×associate-/r*
344×add-sqr-sqrt
324×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01690
134490
2417490
Stop Event
node limit
Counts
4 → 220
Calls
Call 1
Inputs
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000) (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000) (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 z (fma.f64 z 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simplify279.0ms (2.1%)

Algorithm
egg-herbie
Rules
1122×associate-*l*
1072×associate-*r*
1018×times-frac
708×associate-/r*
644×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067613594
1174513250
Stop Event
node limit
Counts
292 → 366
Calls
Call 1
Inputs
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 (cbrt.f64 y) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (cbrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)
(pow.f64 (sqrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2)
(pow.f64 (cbrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)
(pow.f64 (pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) -1)
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(cbrt.f64 (pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
(expm1.f64 (log1p.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (log.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(log1p.f64 (expm1.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
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(+.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) 1) 307332350656623/625000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 1)
(*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 1)
(*.f64 1 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))
(*.f64 (sqrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (sqrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) (*.f64 z 692910599291889/10000000000000000)) 94453173760125479739253764129/390625000000000000000000000000) 1) (-.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000))
(/.f64 (*.f64 (+.f64 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000 (pow.f64 (*.f64 z 692910599291889/10000000000000000) 3)) 1) (+.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) (*.f64 z 692910599291889/10000000000000000)) (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000))))
(pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 1)
(pow.f64 (sqrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)
(pow.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))
(log.f64 (exp.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(exp.f64 (log.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 1))
(+.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)
(+.f64 (*.f64 z (*.f64 z 692910599291889/10000000000000000)) (+.f64 (*.f64 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(+.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) z) (+.f64 (*.f64 307332350656623/625000000000000 z) 11167812716741/40000000000000))
(+.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 1) 11167812716741/40000000000000)
(+.f64 (+.f64 11167812716741/40000000000000 (*.f64 z (*.f64 z 692910599291889/10000000000000000))) (*.f64 z 307332350656623/625000000000000))
(+.f64 (+.f64 11167812716741/40000000000000 (*.f64 (*.f64 z 692910599291889/10000000000000000) z)) (*.f64 307332350656623/625000000000000 z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1)
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(*.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (-.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 124720040876201995101661081/1600000000000000000000000000) (-.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000))
(/.f64 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) (+.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 124720040876201995101661081/1600000000000000000000000000)) (-.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000))
(/.f64 (*.f64 1 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3))) (+.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 124720040876201995101661081/1600000000000000000000000000) 1) (-.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000))
(/.f64 (*.f64 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) 1) (+.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2))
(log.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
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(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
Outputs
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(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
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(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
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(pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3)
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) 1/3)
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2))
(log.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3))
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
0.1b
(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)
0.3b
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
16.1b
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
Compiler

Compiled 79 to 55 computations (30.4% saved)

series5.0ms (0%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
1.0ms
y
@0
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
0.0ms
y
@inf
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
0.0ms
z
@0
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
0.0ms
z
@-inf
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))

rewrite139.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1610×associate-/l*
752×distribute-lft-in
720×associate-/r/
388×associate-/l/
352×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01697
135097
2440597
Stop Event
node limit
Counts
3 → 162
Calls
Call 1
Inputs
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 104698244219447/31250000000000) (*.f64 (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (*.f64 (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 104698244219447/31250000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (*.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)) (*.f64 (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 104698244219447/31250000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 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104698244219447/31250000000000)) (*.f64 (sqrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) 2) (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (/.f64 1 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) 1) (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (sqrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 2)) (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 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simplify173.0ms (1.3%)

Algorithm
egg-herbie
Rules
882×+-commutative
862×associate-*r*
782×associate-+r+
640×associate-*l*
630×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05199338
114988844
270858844
Stop Event
node limit
Counts
210 → 268
Calls
Call 1
Inputs
3350343815022304/279195317918525
(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)
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10000000000000000/692910599291889
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10000000000000000/692910599291889
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11167812716741/40000000000000
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(pow.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (*.f64 y (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) -1)
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(sqrt.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
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(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))))
Outputs
3350343815022304/279195317918525
(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)
(fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)
(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) (+.f64 3350343815022304/279195317918525 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow.f64 z 2))))
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(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(neg.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (+.f64 (*.f64 z (neg.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) -11167812716741/40000000000000))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (neg.f64 y) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 2))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 2))
(fabs.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 3))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 3)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(exp.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) 1))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
0.6b
(*.f64 z 692910599291889/10000000000000000)
4.6b
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
18.6b
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Compiler

Compiled 101 to 73 computations (27.7% saved)

series6.0ms (0%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
1.0ms
y
@inf
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
0.0ms
z
@-inf
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
0.0ms
z
@inf
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
0.0ms
z
@-inf
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

rewrite131.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1724×associate-/l*
430×add-sqr-sqrt
408×pow1
408×*-un-lft-identity
406×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01886
142286
2570286
Stop Event
node limit
Counts
4 → 124
Calls
Call 1
Inputs
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (*.f64 y (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) 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104698244219447/31250000000000)))) 2) (cbrt.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2) (*.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 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simplify137.0ms (1%)

Algorithm
egg-herbie
Rules
1324×associate-/r*
1016×associate-+l+
720×+-commutative
634×associate-+r+
544×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04457014
111936710
250506710
Stop Event
node limit
Counts
196 → 224
Calls
Call 1
Inputs
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(/.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2) (/.f64 1 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (*.f64 (cbrt.f64 y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) y))
(/.f64 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) (/.f64 (+.f64 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) y))
(/.f64 (*.f64 y (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(/.f64 (*.f64 y (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(/.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 y)))
(/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (*.f64 y (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3))) (+.f64 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (*.f64 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) y) (+.f64 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (*.f64 z (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y))) (*.f64 (*.f64 y 11167812716741/40000000000000) (*.f64 y 11167812716741/40000000000000))) (-.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) 3) (pow.f64 (*.f64 y 11167812716741/40000000000000) 3)) (-.f64 (+.f64 (*.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y))) (*.f64 (*.f64 y 11167812716741/40000000000000) (*.f64 y 11167812716741/40000000000000))) (*.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000))))
(pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(fma.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 y 11167812716741/40000000000000))
(fma.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y (*.f64 y 11167812716741/40000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000))) 1)
(pow.f64 (*.f64 z 692910599291889/10000000000000000) 1)
(pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 z 692910599291889/10000000000000000)) 3)
(pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)) 1/3)
(sqrt.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 z z)))
(log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z 692910599291889/10000000000000000))))
(cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000)))
(exp.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 z 692910599291889/10000000000000000)))
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000))
(+.f64 (*.f64 z 6012459259764103/1000000000000000) (*.f64 z z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 1)
(/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000)))
(/.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) (/.f64 (+.f64 z -6012459259764103/1000000000000000) z))
(/.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))) z))
(/.f64 (*.f64 z (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)) (+.f64 z -6012459259764103/1000000000000000))
(/.f64 (*.f64 z (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))
(/.f64 (*.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) z) (+.f64 z -6012459259764103/1000000000000000))
(/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))
(pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 z 6012459259764103/1000000000000000)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
Outputs
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(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
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(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000)))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(/.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) (/.f64 (+.f64 z -6012459259764103/1000000000000000) z))
(/.f64 z (/.f64 (+.f64 z -6012459259764103/1000000000000000) (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)))
(*.f64 z (/.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) (+.f64 z -6012459259764103/1000000000000000)))
(/.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))) z))
(/.f64 (*.f64 z (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))
(/.f64 (fma.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 4)) (fma.f64 z z (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z -6012459259764103/1000000000000000))))
(/.f64 (*.f64 z (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)) (+.f64 z -6012459259764103/1000000000000000))
(/.f64 z (/.f64 (+.f64 z -6012459259764103/1000000000000000) (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)))
(*.f64 z (/.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) (+.f64 z -6012459259764103/1000000000000000)))
(/.f64 (*.f64 z (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))
(/.f64 (*.f64 z (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))
(/.f64 (fma.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 4)) (fma.f64 z z (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z -6012459259764103/1000000000000000))))
(/.f64 (*.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) z) (+.f64 z -6012459259764103/1000000000000000))
(/.f64 z (/.f64 (+.f64 z -6012459259764103/1000000000000000) (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)))
(*.f64 z (/.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) (+.f64 z -6012459259764103/1000000000000000)))
(/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))
(/.f64 (*.f64 z (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))
(/.f64 (fma.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 4)) (fma.f64 z z (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z -6012459259764103/1000000000000000))))
(pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 2)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1/3)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2))
(fabs.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))
(log.f64 (pow.f64 (exp.f64 (+.f64 z 6012459259764103/1000000000000000)) z))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 1))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
0.2b
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)
0.3b
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
15.6b
(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
Compiler

Compiled 62 to 43 computations (30.6% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
y
@inf
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)
1.0ms
y
@0
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)
1.0ms
x
@0
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)
0.0ms
y
@-inf
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)
0.0ms
x
@-inf
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)

rewrite105.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1218×associate-*r/
1058×associate-*l/
752×associate-/r*
540×associate-/l*
364×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01782
136282
2433182
Stop Event
node limit
Counts
2 → 68
Calls
Call 1
Inputs
(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2))))) (#(struct:change 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(-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (-.f64 (*.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 10961722342634967150292985809/976562500000000000000000000)) (-.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 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simplify114.0ms (0.9%)

Algorithm
egg-herbie
Rules
1156×distribute-lft-in
1100×distribute-rgt-in
972×associate-*r/
844×*-commutative
758×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02576670
16846592
225405368
Stop Event
node limit
Counts
116 → 147
Calls
Call 1
Inputs
279195317918525/3350343815022304
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(*.f64 (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2))) (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(*.f64 (/.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1) (-.f64 (*.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 10961722342634967150292985809/976562500000000000000000000)) (-.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))
(*.f64 (/.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 10961722342634967150292985809/976562500000000000000000000) (*.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))
(pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) -1)
(neg.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(+.f64 x (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(+.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))) 1)
(-.f64 (+.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 1)
(*.f64 1 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 2) (cbrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)) (-.f64 (+.f64 (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (*.f64 x x))) (-.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3))) (-.f64 (+.f64 (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (*.f64 x x)) 1) (-.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)))
(pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 1)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)))
(exp.f64 (log.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)))
Outputs
279195317918525/3350343815022304
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304)
(+.f64 279195317918525/3350343815022304 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))))
(+.f64 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z))))
(+.f64 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (*.f64 z (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))
(+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))
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(fma.f64 (+.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) z)) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x)
(fma.f64 y (+.f64 (*.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

eval596.0ms (4.6%)

Compiler

Compiled 30150 to 20937 computations (30.6% saved)

prune289.0ms (2.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1109151124
Fresh000
Picked101
Done303
Total1113151128
Error
0.0b
Counts
1128 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
42.5b
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
16.4b
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
20.7b
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
12.8b
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
22.8b
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
13.7b
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
19.4b
(+.f64 x (/.f64 (fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z) (*.f64 y 11167812716741/40000000000000))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
21.7b
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 z z) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
16.5b
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
16.3b
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
15.3b
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
13.6b
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
12.8b
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
39.8b
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
31.7b
x
Compiler

Compiled 494 to 367 computations (25.7% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
0.1b
(/.f64 y 3350343815022304/279195317918525)
Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(/.f64 y 3350343815022304/279195317918525)
0.0ms
y
@0
(/.f64 y 3350343815022304/279195317918525)
0.0ms
y
@-inf
(/.f64 y 3350343815022304/279195317918525)
0.0ms
x
@0
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
0.0ms
y
@inf
(+.f64 x (/.f64 y 3350343815022304/279195317918525))

rewrite73.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1718×add-sqr-sqrt
1682×*-un-lft-identity
1592×add-cube-cbrt
1578×add-cbrt-cube
156×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0720
115816
2209016
Stop Event
node limit
Counts
2 → 61
Calls
Call 1
Inputs
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 279195317918525/3350343815022304)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 279195317918525/3350343815022304) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/3350343815022304 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) -279195317918525/3350343815022304)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3350343815022304/279195317918525 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y -3350343815022304/279195317918525))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 279195317918525/3350343815022304))) (/.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (-.f64 x (*.f64 y 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 279195317918525/3350343815022304 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2) (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) (/.f64 1 (-.f64 x (*.f64 y 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y 279195317918525/3350343815022304)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (+.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 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279195317918525/3350343815022304 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 279195317918525/3350343815022304 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 279195317918525/3350343815022304 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 279195317918525/3350343815022304 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 279195317918525/3350343815022304 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 279195317918525/3350343815022304 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 279195317918525/3350343815022304) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) x)))))

simplify67.0ms (0.5%)

Algorithm
egg-herbie
Rules
1328×associate-+l+
798×associate-*r/
572×associate-*l/
562×+-commutative
484×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01381343
13061269
211881225
348991225
Stop Event
node limit
Counts
97 → 76
Calls
Call 1
Inputs
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1)
(*.f64 y 279195317918525/3350343815022304)
(*.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(*.f64 1 (*.f64 y 279195317918525/3350343815022304))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 279195317918525/3350343815022304))
(*.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) 279195317918525/3350343815022304))
(*.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 279195317918525/3350343815022304 y)
(*.f64 (neg.f64 y) -279195317918525/3350343815022304)
(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)
(pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3)
(pow.f64 (/.f64 3350343815022304/279195317918525 y) -1)
(pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 1/3)
(neg.f64 (/.f64 y -3350343815022304/279195317918525))
(sqrt.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))
(log.f64 (exp.f64 (*.f64 y 279195317918525/3350343815022304)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))))
(cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))
(expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))
(exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)))
(exp.f64 (*.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)) 1))
(log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 279195317918525/3350343815022304))) (/.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (-.f64 x (*.f64 y 279195317918525/3350343815022304))))
(*.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1)
(*.f64 1 (fma.f64 y 279195317918525/3350343815022304 x))
(*.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(*.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2) (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) (/.f64 1 (-.f64 x (*.f64 y 279195317918525/3350343815022304))))
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 y 279195317918525/3350343815022304)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 y 279195317918525/3350343815022304)))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (+.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 279195317918525/3350343815022304) x))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))) (neg.f64 (-.f64 x (*.f64 y 279195317918525/3350343815022304))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))))
(pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1)
(pow.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 3)
(pow.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 2))
(log.f64 (exp.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 279195317918525/3350343815022304 x))))
(cbrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(exp.f64 (log.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(fma.f64 y 279195317918525/3350343815022304 x)
(fma.f64 1 (*.f64 y 279195317918525/3350343815022304) x)
(fma.f64 1 x (*.f64 y 279195317918525/3350343815022304))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 279195317918525/3350343815022304))
(fma.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y 279195317918525/3350343815022304))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) x)
Outputs
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 279195317918525/3350343815022304)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 1 (*.f64 y 279195317918525/3350343815022304))
(*.f64 279195317918525/3350343815022304 y)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 279195317918525/3350343815022304))
(*.f64 279195317918525/3350343815022304 y)
(*.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 279195317918525/3350343815022304 y)
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) 279195317918525/3350343815022304))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 279195317918525/3350343815022304 (cbrt.f64 y)))
(*.f64 279195317918525/3350343815022304 (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2))
(*.f64 279195317918525/3350343815022304 y)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 (neg.f64 y) -279195317918525/3350343815022304)
(*.f64 279195317918525/3350343815022304 y)
(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(*.f64 279195317918525/3350343815022304 y)
(pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)
(*.f64 279195317918525/3350343815022304 y)
(pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3)
(*.f64 279195317918525/3350343815022304 y)
(pow.f64 (/.f64 3350343815022304/279195317918525 y) -1)
(*.f64 279195317918525/3350343815022304 y)
(pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 1/3)
(cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))
(neg.f64 (/.f64 y -3350343815022304/279195317918525))
(*.f64 279195317918525/3350343815022304 y)
(sqrt.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))
(sqrt.f64 (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))
(log.f64 (exp.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 279195317918525/3350343815022304 y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))))
(*.f64 279195317918525/3350343815022304 y)
(cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))
(expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 279195317918525/3350343815022304 y)
(exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 279195317918525/3350343815022304 y)
(exp.f64 (*.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)) 1))
(*.f64 279195317918525/3350343815022304 y)
(log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 279195317918525/3350343815022304 y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x))) 1)
(fma.f64 279195317918525/3350343815022304 y x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 279195317918525/3350343815022304))) (/.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (-.f64 x (*.f64 y 279195317918525/3350343815022304))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))
(/.f64 (fma.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416 (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x))
(/.f64 (fma.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x))
(*.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1)
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 1 (fma.f64 y 279195317918525/3350343815022304 x))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2) (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) (/.f64 1 (-.f64 x (*.f64 y 279195317918525/3350343815022304))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))
(/.f64 (fma.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416 (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x))
(/.f64 (fma.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x))
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x (fma.f64 y -279195317918525/3350343815022304 x))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 y 279195317918525/3350343815022304)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))
(/.f64 (fma.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416 (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x))
(/.f64 (fma.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x (fma.f64 y -279195317918525/3350343815022304 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 y 279195317918525/3350343815022304)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))
(/.f64 (fma.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416 (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x))
(/.f64 (fma.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x (fma.f64 y -279195317918525/3350343815022304 x))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (+.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 279195317918525/3350343815022304) x))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x (fma.f64 y -279195317918525/3350343815022304 x))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))
(/.f64 (fma.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416 (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x))
(/.f64 (fma.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))) (neg.f64 (-.f64 x (*.f64 y 279195317918525/3350343815022304))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))
(/.f64 (fma.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416 (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x))
(/.f64 (fma.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x (fma.f64 y -279195317918525/3350343815022304 x))))
(pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1)
(fma.f64 279195317918525/3350343815022304 y x)
(pow.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2)
(fma.f64 279195317918525/3350343815022304 y x)
(pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 3)
(fma.f64 279195317918525/3350343815022304 y x)
(pow.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3) 1/3)
(fma.f64 279195317918525/3350343815022304 y x)
(sqrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 2))
(fma.f64 279195317918525/3350343815022304 y x)
(log.f64 (exp.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(fma.f64 279195317918525/3350343815022304 y x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 279195317918525/3350343815022304 x))))
(fma.f64 279195317918525/3350343815022304 y x)
(cbrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3))
(fma.f64 279195317918525/3350343815022304 y x)
(expm1.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(fma.f64 279195317918525/3350343815022304 y x)
(exp.f64 (log.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(fma.f64 279195317918525/3350343815022304 y x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 1))
(fma.f64 279195317918525/3350343815022304 y x)
(log1p.f64 (expm1.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 y 279195317918525/3350343815022304 x)
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 1 (*.f64 y 279195317918525/3350343815022304) x)
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 1 x (*.f64 y 279195317918525/3350343815022304))
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 279195317918525/3350343815022304))
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) x)
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y 279195317918525/3350343815022304))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) x)
(fma.f64 279195317918525/3350343815022304 y x)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
0.1b
(/.f64 y 10000000000000000/692910599291889)
Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
0.0ms
y
@inf
(/.f64 y 10000000000000000/692910599291889)
0.0ms
y
@0
(/.f64 y 10000000000000000/692910599291889)
0.0ms
y
@-inf
(/.f64 y 10000000000000000/692910599291889)
0.0ms
y
@inf
(+.f64 x (/.f64 y 10000000000000000/692910599291889))

rewrite81.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1718×add-sqr-sqrt
1682×*-un-lft-identity
1592×add-cube-cbrt
1578×add-cbrt-cube
156×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0720
115816
2209016
Stop Event
node limit
Counts
2 → 61
Calls
Call 1
Inputs
(/.f64 y 10000000000000000/692910599291889)
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Outputs
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692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) x)))))

simplify69.0ms (0.5%)

Algorithm
egg-herbie
Rules
1328×associate-+l+
798×associate-*r/
572×associate-*l/
562×+-commutative
484×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01381343
13061269
211881225
348991225
Stop Event
node limit
Counts
97 → 76
Calls
Call 1
Inputs
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000))) 1)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(*.f64 1 (*.f64 y 692910599291889/10000000000000000))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 692910599291889/10000000000000000))
(*.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000))
(*.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 (neg.f64 y) -692910599291889/10000000000000000)
(pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(pow.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 3)
(pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)
(pow.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)
(neg.f64 (/.f64 y -10000000000000000/692910599291889))
(sqrt.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))
(log.f64 (exp.f64 (*.f64 y 692910599291889/10000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 692910599291889/10000000000000000))))
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000)))
(exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 692910599291889/10000000000000000))) (/.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 x (*.f64 y 692910599291889/10000000000000000))))
(*.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)
(*.f64 1 (fma.f64 y 692910599291889/10000000000000000 x))
(*.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 x (*.f64 y 692910599291889/10000000000000000))))
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 x (*.f64 y 692910599291889/10000000000000000)))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 692910599291889/10000000000000000) x))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))) (neg.f64 (-.f64 x (*.f64 y 692910599291889/10000000000000000))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))
(pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)
(pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3)
(pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2))
(log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x))))
(cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(fma.f64 y 692910599291889/10000000000000000 x)
(fma.f64 1 (*.f64 y 692910599291889/10000000000000000) x)
(fma.f64 1 x (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) x)
Outputs
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000))) 1)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 1 (*.f64 y 692910599291889/10000000000000000))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 692910599291889/10000000000000000))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 692910599291889/10000000000000000 (cbrt.f64 y)))
(*.f64 692910599291889/10000000000000000 (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 (neg.f64 y) -692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 3)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(neg.f64 (/.f64 y -10000000000000000/692910599291889))
(*.f64 692910599291889/10000000000000000 y)
(sqrt.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))
(sqrt.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)))
(log.f64 (exp.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 692910599291889/10000000000000000))))
(*.f64 692910599291889/10000000000000000 y)
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 y)
(exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 y)
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(*.f64 692910599291889/10000000000000000 y)
(log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 1)
(fma.f64 692910599291889/10000000000000000 y x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 692910599291889/10000000000000000))) (/.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 x (*.f64 y 692910599291889/10000000000000000))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))
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(/.f64 (fma.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000 (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x))
(/.f64 (fma.f64 y (*.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x))
(*.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)
(fma.f64 692910599291889/10000000000000000 y x)
(*.f64 1 (fma.f64 y 692910599291889/10000000000000000 x))
(fma.f64 692910599291889/10000000000000000 y x)
(*.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(fma.f64 692910599291889/10000000000000000 y x)
(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))
(fma.f64 692910599291889/10000000000000000 y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(fma.f64 692910599291889/10000000000000000 y x)
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 x (*.f64 y 692910599291889/10000000000000000))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))
(/.f64 (fma.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000 (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x))
(/.f64 (fma.f64 y (*.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x))
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x (fma.f64 y -692910599291889/10000000000000000 x))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))
(/.f64 (fma.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000 (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x))
(/.f64 (fma.f64 y (*.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x (fma.f64 y -692910599291889/10000000000000000 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 x (*.f64 y 692910599291889/10000000000000000)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))
(/.f64 (fma.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000 (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x))
(/.f64 (fma.f64 y (*.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x (fma.f64 y -692910599291889/10000000000000000 x))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 692910599291889/10000000000000000) x))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x (fma.f64 y -692910599291889/10000000000000000 x))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))
(/.f64 (fma.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000 (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x))
(/.f64 (fma.f64 y (*.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))) (neg.f64 (-.f64 x (*.f64 y 692910599291889/10000000000000000))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))
(/.f64 (fma.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000 (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x))
(/.f64 (fma.f64 y (*.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x (fma.f64 y -692910599291889/10000000000000000 x))))
(pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)
(fma.f64 692910599291889/10000000000000000 y x)
(pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)
(fma.f64 692910599291889/10000000000000000 y x)
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3)
(fma.f64 692910599291889/10000000000000000 y x)
(pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3) 1/3)
(fma.f64 692910599291889/10000000000000000 y x)
(sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2))
(fma.f64 692910599291889/10000000000000000 y x)
(log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(fma.f64 692910599291889/10000000000000000 y x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x))))
(fma.f64 692910599291889/10000000000000000 y x)
(cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3))
(fma.f64 692910599291889/10000000000000000 y x)
(expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(fma.f64 692910599291889/10000000000000000 y x)
(exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(fma.f64 692910599291889/10000000000000000 y x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1))
(fma.f64 692910599291889/10000000000000000 y x)
(log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 1 (*.f64 y 692910599291889/10000000000000000) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 1 x (*.f64 y 692910599291889/10000000000000000))
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) x)
(fma.f64 692910599291889/10000000000000000 y x)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
0.1b
(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
0.1b
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
Compiler

Compiled 32 to 22 computations (31.3% saved)

series6.0ms (0%)

Counts
3 → 48
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
1.0ms
y
@0
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
1.0ms
y
@inf
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
1.0ms
y
@-inf
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
0.0ms
z
@inf
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))

rewrite100.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1764×associate-*r/
1262×associate-*l/
916×associate-/r*
686×associate-/l*
418×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01143
124843
2334443
Stop Event
node limit
Counts
3 → 144
Calls
Call 1
Inputs
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (/.f64 (*.f64 (sqrt.f64 y) 1) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 2) (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (*.f64 (cbrt.f64 y) 1) (fma.f64 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simplify151.0ms (1.2%)

Algorithm
egg-herbie
Rules
1680×associate-/r/
722×+-commutative
618×distribute-lft-neg-in
520×associate-/l*
482×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04417672
112007462
251437384
Stop Event
node limit
Counts
192 → 267
Calls
Call 1
Inputs
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(+.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))
(+.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (*.f64 y (pow.f64 z 3))))))
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(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))))
(pow.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))
(exp.f64 (log.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))
(fma.f64 y (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)
(fma.f64 1 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)
(fma.f64 1 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(fma.f64 (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 2) (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
Outputs
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(fma.f64 279195317918525/3350343815022304 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(fma.f64 279195317918525/3350343815022304 y (*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
(+.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))
(fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (*.f64 z z)) (fma.f64 279195317918525/3350343815022304 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))
(fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (*.f64 z z)) (fma.f64 279195317918525/3350343815022304 y (*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (*.f64 z z)) (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(+.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (*.f64 y (pow.f64 z 3))))))
(fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (*.f64 z z)) (fma.f64 279195317918525/3350343815022304 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) (*.f64 (*.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 y) (pow.f64 z 3)))))
(fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (*.f64 z z)) (fma.f64 279195317918525/3350343815022304 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) (*.f64 (pow.f64 z 3) (*.f64 y -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000)))))
(fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (*.f64 z z)) (fma.f64 279195317918525/3350343815022304 y (*.f64 y (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (pow.f64 z 3))))))
(*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))
(/.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 z y))
(+.f64 (*.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))
(fma.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (*.f64 z z)) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))
(fma.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z) (*.f64 (/.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 z) (/.f64 y z)))
(*.f64 (/.f64 y z) (+.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 z)))
(+.f64 (*.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))))
(fma.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (*.f64 z z)) (fma.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3)) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))))
(fma.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (*.f64 z z)) (fma.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3)) (/.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 z y))))
(+.f64 (/.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 z y)) (*.f64 (/.f64 y (*.f64 z z)) (+.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 z))))
(+.f64 (*.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 -39873908040342567067046441719054932589933590970022151679778966822883997618868713910090756831459948364488144600000000000000/590724563338983643962372834531741920535364530494984699021859876952259105769148219366939901641144597718544886593668641 (/.f64 y (pow.f64 z 4))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))))
(fma.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (*.f64 z z)) (fma.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3)) (fma.f64 -39873908040342567067046441719054932589933590970022151679778966822883997618868713910090756831459948364488144600000000000000/590724563338983643962372834531741920535364530494984699021859876952259105769148219366939901641144597718544886593668641 (/.f64 y (pow.f64 z 4)) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))))
(fma.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (*.f64 z z)) (fma.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3)) (fma.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z) (/.f64 -39873908040342567067046441719054932589933590970022151679778966822883997618868713910090756831459948364488144600000000000000/590724563338983643962372834531741920535364530494984699021859876952259105769148219366939901641144597718544886593668641 (/.f64 (pow.f64 z 4) y)))))
(+.f64 (*.f64 (/.f64 y z) (+.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 z))) (fma.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3)) (*.f64 (/.f64 -39873908040342567067046441719054932589933590970022151679778966822883997618868713910090756831459948364488144600000000000000/590724563338983643962372834531741920535364530494984699021859876952259105769148219366939901641144597718544886593668641 (pow.f64 z 4)) y)))
(*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))
(/.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 z y))
(+.f64 (*.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))
(fma.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (*.f64 z z)) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))
(fma.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z) (*.f64 (/.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 z) (/.f64 y z)))
(*.f64 (/.f64 y z) (+.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 z)))
(+.f64 (*.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))))
(fma.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (*.f64 z z)) (fma.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3)) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))))
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(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) x))))
(pow.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x) 1)
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) 2)
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) 3)
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(pow.f64 (pow.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x) 3) 1/3)
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x) 2))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 2))
(fabs.f64 (+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))))
(log.f64 (exp.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))))
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x) 3))
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(exp.f64 (log.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) 1))
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(fma.f64 y (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(fma.f64 1 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(fma.f64 1 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(fma.f64 (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) x)
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 2) (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) x)
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)
0.0b
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
0.2b
(*.f64 279195317918525/3350343815022304 y)
0.5b
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
Compiler

Compiled 37 to 19 computations (48.6% saved)

series5.0ms (0%)

Counts
4 → 27
Calls

27 calls:

TimeVariablePointExpression
1.0ms
y
@0
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
0.0ms
z
@inf
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
0.0ms
z
@0
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
0.0ms
y
@inf
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
0.0ms
x
@0
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))

rewrite130.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1170×associate-*r/
1022×distribute-rgt-in
982×distribute-lft-in
902×associate-*l/
278×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01258
126758
2357658
Stop Event
node limit
Counts
4 → 204
Calls
Call 1
Inputs
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))))))
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exp.f64 (*.f64 (log.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y z) -155900051080628738716045985239/56124018394291031809500087342080 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 2) (cbrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 y) z x)))))

simplify156.0ms (1.2%)

Algorithm
egg-herbie
Rules
864×associate-/l*
790×associate-*r*
690×associate-*l*
616×fma-def
470×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053313147
1154311811
Stop Event
node limit
Counts
231 → 310
Calls
Call 1
Inputs
x
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x)
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x)
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x)
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x)
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x)
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x)
(*.f64 -1 (*.f64 y (-.f64 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304)))
(+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304))) x)
(+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304))) x)
(+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304))) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
x
x
x
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
x
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
x
x
(-.f64 (exp.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) 1)
(pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 1)
(pow.f64 (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 2)
(pow.f64 (cbrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) 1/3)
(sqrt.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2))
(log.f64 (pow.f64 (exp.f64 -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 y z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000))
(expm1.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))
(exp.f64 (log.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 1))
(log1p.f64 (expm1.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1)
(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)
(pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3)
(pow.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3) 1/3)
(sqrt.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)))
(log.f64 (pow.f64 (exp.f64 279195317918525/3350343815022304) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))))
(cbrt.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3))
(expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))
(exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)))
(exp.f64 (*.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)) 1))
(log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) (-.f64 1 (+.f64 (*.f64 y 279195317918525/3350343815022304) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) (-.f64 1 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))) (-.f64 1 (*.f64 y 279195317918525/3350343815022304)))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 y 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))
(-.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (/.f64 (-.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x) 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400)) (-.f64 (/.f64 x (/.f64 (-.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x) x)) (*.f64 y 279195317918525/3350343815022304)))
(-.f64 (/.f64 77950025547626246938538175625/11224803678858206361900017468416 (/.f64 (-.f64 (*.f64 y 279195317918525/3350343815022304) (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)) (*.f64 y y))) (/.f64 (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 2) (-.f64 (*.f64 y 279195317918525/3350343815022304) (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))))
(-.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) (exp.f64 (log1p.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))) 1)
(-.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) (/.f64 (pow.f64 (*.f64 y z) 2) (/.f64 (-.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x) 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400))) (/.f64 x (/.f64 (-.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x) x)))
(-.f64 (+.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))) 1)
(-.f64 (+.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) (exp.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))) 1)
(-.f64 (+.f64 (*.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 1) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (fma.f64 y 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)) 1)
(*.f64 1 (fma.f64 y 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))
(*.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))))
(*.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))) (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))) 2) (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))))
(*.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 2)) (/.f64 1 (-.f64 (*.f64 y 279195317918525/3350343815022304) (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))))
(*.f64 (+.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3) (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 3)) (/.f64 1 (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) (-.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) (*.f64 y 279195317918525/3350343815022304))))))
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(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))))
(pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 2))
(log.f64 (exp.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))))
(cbrt.f64 (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))
(exp.f64 (log.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)
(fma.f64 (*.f64 y z) -155900051080628738716045985239/56124018394291031809500087342080 x)
(fma.f64 1 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)
(fma.f64 1 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(fma.f64 (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 2) (cbrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) x)
(fma.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 y) z x)
Outputs
x
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x)
(fma.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y x)
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x)
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x)
(fma.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y x)
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x)
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x)
(fma.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y x)
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x)
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y)
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x)
(fma.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y x)
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x)
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x)
(fma.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y x)
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x)
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x)
(fma.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y x)
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x)
(*.f64 -1 (*.f64 y (-.f64 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304)))
(neg.f64 (*.f64 y (fma.f64 155900051080628738716045985239/56124018394291031809500087342080 z -279195317918525/3350343815022304)))
(*.f64 (fma.f64 z 155900051080628738716045985239/56124018394291031809500087342080 -279195317918525/3350343815022304) (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304))) x)
(fma.f64 -1 (*.f64 y (fma.f64 155900051080628738716045985239/56124018394291031809500087342080 z -279195317918525/3350343815022304)) x)
(-.f64 x (*.f64 y (fma.f64 z 155900051080628738716045985239/56124018394291031809500087342080 -279195317918525/3350343815022304)))
(+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304))) x)
(fma.f64 -1 (*.f64 y (fma.f64 155900051080628738716045985239/56124018394291031809500087342080 z -279195317918525/3350343815022304)) x)
(-.f64 x (*.f64 y (fma.f64 z 155900051080628738716045985239/56124018394291031809500087342080 -279195317918525/3350343815022304)))
(+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304))) x)
(fma.f64 -1 (*.f64 y (fma.f64 155900051080628738716045985239/56124018394291031809500087342080 z -279195317918525/3350343815022304)) x)
(-.f64 x (*.f64 y (fma.f64 z 155900051080628738716045985239/56124018394291031809500087342080 -279195317918525/3350343815022304)))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y)
x
x
x
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))
x
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))
x
x
(-.f64 (exp.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) 1)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))
(pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 1)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))
(pow.f64 (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 2)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))
(pow.f64 (cbrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 3)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))
(pow.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z y) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000))
(sqrt.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2))
(sqrt.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y)) 2))
(fabs.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y)))
(log.f64 (pow.f64 (exp.f64 -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 y z)))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z y) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000))
(expm1.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))
(exp.f64 (log.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))
(exp.f64 (*.f64 (log.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 1))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))
(log1p.f64 (expm1.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1)
(*.f64 279195317918525/3350343815022304 y)
(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(*.f64 279195317918525/3350343815022304 y)
(pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)
(*.f64 279195317918525/3350343815022304 y)
(pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3)
(*.f64 279195317918525/3350343815022304 y)
(pow.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3) 1/3)
(*.f64 279195317918525/3350343815022304 y)
(sqrt.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)))
(sqrt.f64 (*.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 y) y))
(sqrt.f64 (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))
(log.f64 (pow.f64 (exp.f64 279195317918525/3350343815022304) y))
(*.f64 279195317918525/3350343815022304 y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))))
(*.f64 279195317918525/3350343815022304 y)
(cbrt.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3))
(*.f64 279195317918525/3350343815022304 y)
(expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 279195317918525/3350343815022304 y)
(exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 279195317918525/3350343815022304 y)
(exp.f64 (*.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)) 1))
(*.f64 279195317918525/3350343815022304 y)
(log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 279195317918525/3350343815022304 y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) (-.f64 1 (+.f64 (*.f64 y 279195317918525/3350343815022304) x)))
(fma.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y x)
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))) 1)
(fma.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y x)
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(/.f64 (fma.f64 (pow.f64 (*.f64 z y) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000 (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))) (*.f64 (pow.f64 (*.f64 z y) 2) 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400)))
(pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 1)
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(pow.f64 (sqrt.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)) 2)
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(pow.f64 (cbrt.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)) 3)
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(pow.f64 (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 3) 1/3)
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(sqrt.f64 (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 2))
(sqrt.f64 (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) 2))
(fabs.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x))
(log.f64 (exp.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))))
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(cbrt.f64 (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 3))
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(expm1.f64 (log1p.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(exp.f64 (log.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)) 1))
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(log1p.f64 (expm1.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(fma.f64 (*.f64 y z) -155900051080628738716045985239/56124018394291031809500087342080 x)
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(fma.f64 1 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(fma.f64 1 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(fma.f64 (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) x)
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 2) (cbrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) x)
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)
(fma.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 y) z x)
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)

localize47.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
0.6b
(*.f64 692910599291889/10000000000000000 z)
0.6b
(*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
15.7b
(/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
Compiler

Compiled 132 to 100 computations (24.2% saved)

series6.0ms (0%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
4.0ms
z
@inf
(/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
0.0ms
z
@inf
(/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
0.0ms
z
@inf
(*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
0.0ms
z
@0
(/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
0.0ms
z
@-inf
(/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))

rewrite126.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1722×associate-/l*
1070×associate-/r/
396×add-sqr-sqrt
372×add-exp-log
372×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018100
140284
2519484
Stop Event
node limit
Counts
4 → 146
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(*.f64 692910599291889/10000000000000000 z)
(/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 z (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (*.f64 z (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (/.f64 z (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 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simplify151.0ms (1.2%)

Algorithm
egg-herbie
Rules
1732×associate-/r*
686×associate-/l/
668×+-commutative
602×associate-*r*
592×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04587344
112657036
250167036
Stop Event
node limit
Counts
182 → 262
Calls
Call 1
Inputs
(*.f64 307332350656623/2093964884388940 z)
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692910599291889/10000000000000000
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692910599291889/10000000000000000
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279195317918525/3350343815022304
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(/.f64 11167812716741/40000000000000 (pow.f64 z 2))
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31250000000000/104698244219447
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(*.f64 (/.f64 -1 (neg.f64 (-.f64 10961722342634967150292985809/976562500000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2)))) (-.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3)))) (+.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) (-.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (cbrt.f64 (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3)))) (cbrt.f64 (+.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) (-.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (cbrt.f64 (-.f64 10961722342634967150292985809/976562500000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2)))) (cbrt.f64 (-.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(*.f64 (/.f64 (-.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (-.f64 120159356717022632160008572058759684584348189384275384481/953674316406250000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2)))) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) 10961722342634967150292985809/976562500000000000000000000))
(*.f64 (/.f64 (-.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (-.f64 1317153505201632002983659886812818418247552329467851711691541453205491934550951830129/931322574615478515625000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) 3))) (+.f64 (+.f64 120159356717022632160008572058759684584348189384275384481/953674316406250000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2))) (*.f64 10961722342634967150292985809/976562500000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2))))
(*.f64 (/.f64 (+.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) (-.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) (-.f64 1317153505201632002983659886812818418247552329467851711691541453205491934550951830129/931322574615478515625000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3)))) (-.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3)))
(*.f64 (/.f64 (+.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) (-.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) (+.f64 1511661623960665629622844305993286168976594265130368666398495313802642364356591595113217828703041101907236650028337355014853367/28421709430404007434844970703125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 3))) (-.f64 (+.f64 1317153505201632002983659886812818418247552329467851711691541453205491934550951830129/931322574615478515625000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))) (*.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))))
(pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -1)
(pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)
(pow.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
Outputs
(*.f64 307332350656623/2093964884388940 z)
(+.f64 (*.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (pow.f64 z 2)) (*.f64 307332350656623/2093964884388940 z))
(fma.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (*.f64 z z) (*.f64 307332350656623/2093964884388940 z))
(fma.f64 307332350656623/2093964884388940 z (*.f64 z (*.f64 z -1702730191236670109104688273403/7015502299286378976187510917760)))
(+.f64 (*.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (pow.f64 z 2)) (+.f64 (*.f64 9207926865002136307543746230715810412149052509/23504344737688872479899142880247075897909719040 (pow.f64 z 3)) (*.f64 307332350656623/2093964884388940 z)))
(fma.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (*.f64 z z) (fma.f64 9207926865002136307543746230715810412149052509/23504344737688872479899142880247075897909719040 (pow.f64 z 3) (*.f64 307332350656623/2093964884388940 z)))
(+.f64 (*.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (pow.f64 z 2)) (+.f64 (*.f64 -49657553577851219442980585697004482616647839217168558300284427/78747636018067952212383217784428746889198429394878715973468160 (pow.f64 z 4)) (+.f64 (*.f64 9207926865002136307543746230715810412149052509/23504344737688872479899142880247075897909719040 (pow.f64 z 3)) (*.f64 307332350656623/2093964884388940 z))))
(fma.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (*.f64 z z) (fma.f64 -49657553577851219442980585697004482616647839217168558300284427/78747636018067952212383217784428746889198429394878715973468160 (pow.f64 z 4) (fma.f64 9207926865002136307543746230715810412149052509/23504344737688872479899142880247075897909719040 (pow.f64 z 3) (*.f64 307332350656623/2093964884388940 z))))
692910599291889/10000000000000000
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(-.f64 (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 6838173566184461718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 692910599291889/10000000000000000 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 6838173566184461718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (+.f64 692910599291889/10000000000000000 (/.f64 -6838173566184461718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))))
(-.f64 (+.f64 692910599291889/10000000000000000 (+.f64 (*.f64 38597391810486664391914000649665904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) (*.f64 6838173566184461718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (+.f64 692910599291889/10000000000000000 (/.f64 38597391810486664391914000649665904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (/.f64 6838173566184461718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))
(+.f64 692910599291889/10000000000000000 (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (-.f64 (/.f64 38597391810486664391914000649665904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 6838173566184461718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))))
692910599291889/10000000000000000
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(-.f64 (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 6838173566184461718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 692910599291889/10000000000000000 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 6838173566184461718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (+.f64 692910599291889/10000000000000000 (/.f64 -6838173566184461718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))))
(-.f64 (+.f64 692910599291889/10000000000000000 (+.f64 (*.f64 38597391810486664391914000649665904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) (*.f64 6838173566184461718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (+.f64 692910599291889/10000000000000000 (/.f64 38597391810486664391914000649665904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (/.f64 6838173566184461718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))
(+.f64 692910599291889/10000000000000000 (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (-.f64 (/.f64 38597391810486664391914000649665904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 6838173566184461718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))))
279195317918525/3350343815022304
(+.f64 279195317918525/3350343815022304 (*.f64 -1678650474502018223880473708075/11224803678858206361900017468416 z))
(+.f64 279195317918525/3350343815022304 (*.f64 z -1678650474502018223880473708075/11224803678858206361900017468416))
(fma.f64 z -1678650474502018223880473708075/11224803678858206361900017468416 279195317918525/3350343815022304)
(+.f64 279195317918525/3350343815022304 (+.f64 (*.f64 -1678650474502018223880473708075/11224803678858206361900017468416 z) (*.f64 9157417282755548667831574904743338418186231725/37606951580302195967838628608395321436655550464 (pow.f64 z 2))))
(+.f64 279195317918525/3350343815022304 (fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 z (*.f64 (*.f64 z z) 9157417282755548667831574904743338418186231725/37606951580302195967838628608395321436655550464)))
(+.f64 (fma.f64 z -1678650474502018223880473708075/11224803678858206361900017468416 279195317918525/3350343815022304) (*.f64 z (*.f64 z 9157417282755548667831574904743338418186231725/37606951580302195967838628608395321436655550464)))
(+.f64 279195317918525/3350343815022304 (+.f64 (*.f64 -1678650474502018223880473708075/11224803678858206361900017468416 z) (+.f64 (*.f64 -49434542102395337057955907590727616078723417236647145994767675/125996217628908723539813148455085995022717487031805945557549056 (pow.f64 z 3)) (*.f64 9157417282755548667831574904743338418186231725/37606951580302195967838628608395321436655550464 (pow.f64 z 2)))))
(+.f64 279195317918525/3350343815022304 (fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 z (fma.f64 -49434542102395337057955907590727616078723417236647145994767675/125996217628908723539813148455085995022717487031805945557549056 (pow.f64 z 3) (*.f64 (*.f64 z z) 9157417282755548667831574904743338418186231725/37606951580302195967838628608395321436655550464))))
(+.f64 (fma.f64 z -1678650474502018223880473708075/11224803678858206361900017468416 279195317918525/3350343815022304) (fma.f64 (*.f64 z z) 9157417282755548667831574904743338418186231725/37606951580302195967838628608395321436655550464 (*.f64 (pow.f64 z 3) -49434542102395337057955907590727616078723417236647145994767675/125996217628908723539813148455085995022717487031805945557549056)))
(/.f64 11167812716741/40000000000000 (pow.f64 z 2))
(/.f64 11167812716741/40000000000000 (*.f64 z z))
(-.f64 (*.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 67146018980080728955218948323/40000000000000000000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (/.f64 11167812716741/40000000000000 (*.f64 z z)) (/.f64 67146018980080728955218948323/40000000000000000000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 11167812716741/40000000000000 (*.f64 z z)) (/.f64 -67146018980080728955218948323/40000000000000000000000000000 (pow.f64 z 3)))
(-.f64 (+.f64 (*.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 67146018980080728955218948323/40000000000000000000000000000 (/.f64 1 (pow.f64 z 3))))
(+.f64 (/.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (pow.f64 z 4)) (-.f64 (/.f64 11167812716741/40000000000000 (*.f64 z z)) (/.f64 67146018980080728955218948323/40000000000000000000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 11167812716741/40000000000000 (*.f64 z z)) (+.f64 (/.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (pow.f64 z 4)) (/.f64 -67146018980080728955218948323/40000000000000000000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (*.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 67146018980080728955218948323/40000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 1977381684095813482318236303629104643148936689465885839790707/40000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 5)))))
(-.f64 (+.f64 (/.f64 11167812716741/40000000000000 (*.f64 z z)) (/.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (pow.f64 z 4))) (+.f64 (/.f64 67146018980080728955218948323/40000000000000000000000000000 (pow.f64 z 3)) (/.f64 1977381684095813482318236303629104643148936689465885839790707/40000000000000000000000000000000000000000000000000000000000 (pow.f64 z 5))))
(+.f64 (+.f64 (/.f64 11167812716741/40000000000000 (*.f64 z z)) (/.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (pow.f64 z 4))) (-.f64 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 (pow.f64 z 3)) (/.f64 1977381684095813482318236303629104643148936689465885839790707/40000000000000000000000000000000000000000000000000000000000 (pow.f64 z 5))))
(/.f64 11167812716741/40000000000000 (pow.f64 z 2))
(/.f64 11167812716741/40000000000000 (*.f64 z z))
(-.f64 (*.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 67146018980080728955218948323/40000000000000000000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (/.f64 11167812716741/40000000000000 (*.f64 z z)) (/.f64 67146018980080728955218948323/40000000000000000000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 11167812716741/40000000000000 (*.f64 z z)) (/.f64 -67146018980080728955218948323/40000000000000000000000000000 (pow.f64 z 3)))
(-.f64 (+.f64 (*.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (*.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 67146018980080728955218948323/40000000000000000000000000000 (/.f64 1 (pow.f64 z 3))))
(+.f64 (/.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (pow.f64 z 4)) (-.f64 (/.f64 11167812716741/40000000000000 (*.f64 z z)) (/.f64 67146018980080728955218948323/40000000000000000000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 11167812716741/40000000000000 (*.f64 z z)) (+.f64 (/.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (pow.f64 z 4)) (/.f64 -67146018980080728955218948323/40000000000000000000000000000 (pow.f64 z 3))))
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(*.f64 (/.f64 (-.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (-.f64 1317153505201632002983659886812818418247552329467851711691541453205491934550951830129/931322574615478515625000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 6))) (fma.f64 10961722342634967150292985809/976562500000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (+.f64 120159356717022632160008572058759684584348189384275384481/953674316406250000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 4))))
(*.f64 (/.f64 (+.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) (-.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) (-.f64 1317153505201632002983659886812818418247552329467851711691541453205491934550951830129/931322574615478515625000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3)))) (-.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3)))
(*.f64 (/.f64 (+.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) -104698244219447/31250000000000)))) (-.f64 1317153505201632002983659886812818418247552329467851711691541453205491934550951830129/931322574615478515625000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 6))) (-.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3)))
(*.f64 (/.f64 (fma.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) -104698244219447/31250000000000) 10961722342634967150292985809/976562500000000000000000000) (-.f64 1317153505201632002983659886812818418247552329467851711691541453205491934550951830129/931322574615478515625000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 6))) (-.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3)))
(*.f64 (/.f64 (+.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) (-.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) (+.f64 1511661623960665629622844305993286168976594265130368666398495313802642364356591595113217828703041101907236650028337355014853367/28421709430404007434844970703125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 3))) (-.f64 (+.f64 1317153505201632002983659886812818418247552329467851711691541453205491934550951830129/931322574615478515625000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))) (*.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))))
(*.f64 (/.f64 (+.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) -104698244219447/31250000000000)))) (+.f64 1511661623960665629622844305993286168976594265130368666398495313802642364356591595113217828703041101907236650028337355014853367/28421709430404007434844970703125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 3))) (+.f64 1317153505201632002983659886812818418247552329467851711691541453205491934550951830129/931322574615478515625000000000000000000000000000000000000000000000000000000000000 (-.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 6) (*.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3)))))
(/.f64 (*.f64 (fma.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) -104698244219447/31250000000000) 10961722342634967150292985809/976562500000000000000000000) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 6) (-.f64 1317153505201632002983659886812818418247552329467851711691541453205491934550951830129/931322574615478515625000000000000000000000000000000000000000000000000000000000000 (*.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))))) (+.f64 1511661623960665629622844305993286168976594265130368666398495313802642364356591595113217828703041101907236650028337355014853367/28421709430404007434844970703125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 3)))
(pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -1)
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -1/2) 2)
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3)
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(exp.f64 (neg.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

eval507.0ms (3.9%)

Compiler

Compiled 27666 to 18428 computations (33.4% saved)

prune227.0ms (1.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New9883991
Fresh01010
Picked101
Done224
Total991151006
Error
0.0b
Counts
1006 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
42.5b
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
46.3b
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
16.4b
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
12.8b
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
22.8b
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
13.7b
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
19.4b
(+.f64 x (/.f64 (fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z) (*.f64 y 11167812716741/40000000000000))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
21.7b
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 z z) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
16.5b
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
16.3b
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
13.6b
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
12.8b
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
39.6b
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) y)
46.6b
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
31.7b
x
Compiler

Compiled 462 to 345 computations (25.3% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
0.2b
(*.f64 279195317918525/3350343815022304 y)
Compiler

Compiled 14 to 9 computations (35.7% saved)

series0.0ms (0%)

Counts
1 → 6
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
0.0ms
y
@inf
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
0.0ms
y
@-inf
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
0.0ms
x
@inf
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
0.0ms
x
@-inf
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)

rewrite64.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1612×add-sqr-sqrt
1588×*-un-lft-identity
1490×add-cube-cbrt
1476×add-cbrt-cube
154×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11529
219519
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
Outputs
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#<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 279195317918525/3350343815022304 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 279195317918525/3350343815022304 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 279195317918525/3350343815022304 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) x)))))

simplify56.0ms (0.4%)

Algorithm
egg-herbie
Rules
1148×associate-*r*
952×associate-*l*
934×associate-/r*
678×associate-+r+
482×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
096861
1232831
2812763
34220763
Stop Event
node limit
Counts
43 → 44
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
x
x
(-.f64 (exp.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x))) 1)
(-.f64 (/.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))
(*.f64 (fma.f64 279195317918525/3350343815022304 y x) 1)
(*.f64 1 (fma.f64 279195317918525/3350343815022304 y x))
(*.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(*.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2) (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(*.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))
(*.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y))))))
(/.f64 1 (/.f64 (-.f64 (*.f64 279195317918525/3350343815022304 y) x) (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))) (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))))
(/.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 279195317918525/3350343815022304 (*.f64 y x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y))) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))
(/.f64 (neg.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))
(/.f64 (neg.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y))))))
(pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 1)
(pow.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 3)
(pow.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 2))
(log.f64 (exp.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 279195317918525/3350343815022304 y x))))
(cbrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(exp.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 y 279195317918525/3350343815022304 x)
(fma.f64 1 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 1 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 279195317918525/3350343815022304 y))
(fma.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 279195317918525/3350343815022304 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) x)
Outputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
x
x
(-.f64 (exp.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x))) 1)
(fma.f64 279195317918525/3350343815022304 y x)
(-.f64 (/.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))
(/.f64 (-.f64 (*.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 y) y) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (fma.f64 x x (*.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416))) (fma.f64 y -279195317918525/3350343815022304 x))
(*.f64 (fma.f64 279195317918525/3350343815022304 y x) 1)
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 1 (fma.f64 279195317918525/3350343815022304 y x))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2) (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))
(/.f64 (-.f64 (*.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 y) y) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (fma.f64 x x (*.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416))) (fma.f64 y -279195317918525/3350343815022304 x))
(*.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y))))))
(/.f64 (*.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -279195317918525/3350343815022304 y)))))
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -279195317918525/3350343815022304)) (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y))))
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -279195317918525/3350343815022304 x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(/.f64 1 (/.f64 (-.f64 (*.f64 279195317918525/3350343815022304 y) x) (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 y) y) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (fma.f64 x x (*.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416))) (fma.f64 y -279195317918525/3350343815022304 x))
(/.f64 1 (/.f64 (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))) (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3))))
(/.f64 (*.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -279195317918525/3350343815022304 y)))))
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -279195317918525/3350343815022304)) (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y))))
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -279195317918525/3350343815022304 x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(/.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (-.f64 (*.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 y) y) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (fma.f64 x x (*.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416))) (fma.f64 y -279195317918525/3350343815022304 x))
(/.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))))
(/.f64 (*.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -279195317918525/3350343815022304 y)))))
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -279195317918525/3350343815022304)) (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y))))
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -279195317918525/3350343815022304 x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(/.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 279195317918525/3350343815022304 (*.f64 y x)))))
(/.f64 (*.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -279195317918525/3350343815022304 y)))))
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -279195317918525/3350343815022304)) (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y))))
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -279195317918525/3350343815022304 x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y))) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))
(/.f64 (-.f64 (*.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 y) y) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (fma.f64 x x (*.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416))) (fma.f64 y -279195317918525/3350343815022304 x))
(/.f64 (neg.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))
(/.f64 (-.f64 (*.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 y) y) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (fma.f64 x x (*.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416))) (fma.f64 y -279195317918525/3350343815022304 x))
(/.f64 (neg.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y))))))
(/.f64 (*.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -279195317918525/3350343815022304 y)))))
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -279195317918525/3350343815022304)) (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y))))
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -279195317918525/3350343815022304 x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 1)
(fma.f64 279195317918525/3350343815022304 y x)
(pow.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2)
(fma.f64 279195317918525/3350343815022304 y x)
(pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 3)
(fma.f64 279195317918525/3350343815022304 y x)
(pow.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3) 1/3)
(fma.f64 279195317918525/3350343815022304 y x)
(sqrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 2))
(fma.f64 279195317918525/3350343815022304 y x)
(log.f64 (exp.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(fma.f64 279195317918525/3350343815022304 y x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 279195317918525/3350343815022304 y x))))
(fma.f64 279195317918525/3350343815022304 y x)
(cbrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3))
(fma.f64 279195317918525/3350343815022304 y x)
(expm1.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(fma.f64 279195317918525/3350343815022304 y x)
(exp.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(fma.f64 279195317918525/3350343815022304 y x)
(exp.f64 (*.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x)) 1))
(fma.f64 279195317918525/3350343815022304 y x)
(log1p.f64 (expm1.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 y 279195317918525/3350343815022304 x)
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 1 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 1 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 279195317918525/3350343815022304 y))
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) x)
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 279195317918525/3350343815022304 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) x)
(fma.f64 279195317918525/3350343815022304 y x)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
0.5b
(*.f64 692910599291889/10000000000000000 y)
Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0%)

Counts
2 → 6
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 692910599291889/10000000000000000 y)
0.0ms
y
@inf
(*.f64 692910599291889/10000000000000000 y)
0.0ms
y
@inf
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
0.0ms
y
@-inf
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
0.0ms
y
@-inf
(*.f64 692910599291889/10000000000000000 y)

rewrite72.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1612×add-sqr-sqrt
1588×*-un-lft-identity
1490×add-cube-cbrt
1476×add-cbrt-cube
154×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
115216
2195116
Stop Event
node limit
Counts
2 → 50
Calls
Call 1
Inputs
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 692910599291889/10000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 692910599291889/10000000000000000 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))) (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 692910599291889/10000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 692910599291889/10000000000000000 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 692910599291889/10000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 692910599291889/10000000000000000 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) x)))))

simplify61.0ms (0.5%)

Algorithm
egg-herbie
Rules
1282×associate-*r*
1226×associate-+r+
1068×associate-*l*
906×associate-+l+
458×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0117982
1274952
2974884
35306884
Stop Event
node limit
Counts
56 → 59
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
x
x
(-.f64 (exp.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y))) 1)
(pow.f64 (*.f64 692910599291889/10000000000000000 y) 1)
(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)
(pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) 1/3)
(sqrt.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))
(log.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 692910599291889/10000000000000000 y))))
(cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y)))
(exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)) 1))
(log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x))) 1)
(-.f64 (/.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(*.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)
(*.f64 1 (fma.f64 692910599291889/10000000000000000 y x))
(*.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(*.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(*.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(*.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))
(/.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))) (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))
(/.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))))
(/.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 692910599291889/10000000000000000 (*.f64 y x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))
(/.f64 (neg.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(/.f64 (neg.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))
(pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)
(pow.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 3)
(pow.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 2))
(log.f64 (exp.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x))))
(cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(exp.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(fma.f64 1 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 1 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 692910599291889/10000000000000000 y))
(fma.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 692910599291889/10000000000000000 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) x)
Outputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
x
x
(-.f64 (exp.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y))) 1)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (*.f64 692910599291889/10000000000000000 y) 1)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) 1/3)
(cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)))
(sqrt.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))
(sqrt.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)))
(log.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000))
(*.f64 692910599291889/10000000000000000 y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 692910599291889/10000000000000000 y))))
(*.f64 692910599291889/10000000000000000 y)
(cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y)))
(*.f64 692910599291889/10000000000000000 y)
(exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)))
(*.f64 692910599291889/10000000000000000 y)
(exp.f64 (*.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)) 1))
(*.f64 692910599291889/10000000000000000 y)
(log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 y)))
(*.f64 692910599291889/10000000000000000 y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x))) 1)
(fma.f64 692910599291889/10000000000000000 y x)
(-.f64 (/.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 y -692910599291889/10000000000000000 x))
(*.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)
(fma.f64 692910599291889/10000000000000000 y x)
(*.f64 1 (fma.f64 692910599291889/10000000000000000 y x))
(fma.f64 692910599291889/10000000000000000 y x)
(*.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(fma.f64 692910599291889/10000000000000000 y x)
(*.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2))
(fma.f64 692910599291889/10000000000000000 y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(fma.f64 692910599291889/10000000000000000 y x)
(*.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 y -692910599291889/10000000000000000 x))
(*.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))
(/.f64 (*.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -692910599291889/10000000000000000 y)))))
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -692910599291889/10000000000000000)) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))))
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))))
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))
(/.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 y -692910599291889/10000000000000000 x))
(/.f64 1 (/.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))) (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3))))
(/.f64 (*.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -692910599291889/10000000000000000 y)))))
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -692910599291889/10000000000000000)) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))))
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))))
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))
(/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 y -692910599291889/10000000000000000 x))
(/.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))))
(/.f64 (*.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -692910599291889/10000000000000000 y)))))
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -692910599291889/10000000000000000)) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))))
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))))
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))
(/.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 692910599291889/10000000000000000 (*.f64 y x)))))
(/.f64 (*.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -692910599291889/10000000000000000 y)))))
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -692910599291889/10000000000000000)) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))))
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))))
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))
(/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 y -692910599291889/10000000000000000 x))
(/.f64 (neg.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 y -692910599291889/10000000000000000 x))
(/.f64 (neg.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))
(/.f64 (*.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -692910599291889/10000000000000000 y)))))
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -692910599291889/10000000000000000)) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))))
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))))
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))
(pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)
(fma.f64 692910599291889/10000000000000000 y x)
(pow.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2)
(fma.f64 692910599291889/10000000000000000 y x)
(pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 3)
(fma.f64 692910599291889/10000000000000000 y x)
(pow.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3) 1/3)
(fma.f64 692910599291889/10000000000000000 y x)
(sqrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 2))
(fma.f64 692910599291889/10000000000000000 y x)
(log.f64 (exp.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(fma.f64 692910599291889/10000000000000000 y x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x))))
(fma.f64 692910599291889/10000000000000000 y x)
(cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))
(fma.f64 692910599291889/10000000000000000 y x)
(expm1.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(fma.f64 692910599291889/10000000000000000 y x)
(exp.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(fma.f64 692910599291889/10000000000000000 y x)
(exp.f64 (*.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)) 1))
(fma.f64 692910599291889/10000000000000000 y x)
(log1p.f64 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 1 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 1 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) x)
(fma.f64 692910599291889/10000000000000000 y x)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
0.1b
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
Compiler

Compiled 22 to 16 computations (27.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)
0.0b
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
0.2b
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
0.5b
(*.f64 692910599291889/10000000000000000 y)
Compiler

Compiled 37 to 19 computations (48.6% saved)

series4.0ms (0%)

Counts
3 → 27
Calls

24 calls:

TimeVariablePointExpression
1.0ms
y
@0
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
0.0ms
x
@0
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
0.0ms
y
@inf
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
0.0ms
y
@-inf
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
0.0ms
y
@inf
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))

rewrite123.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1166×associate-/r*
1068×distribute-rgt-in
1034×distribute-lft-in
786×associate-/l*
286×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
127351
2378551
Stop Event
node limit
Counts
3 → 209
Calls
Call 1
Inputs
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)
Outputs
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simplify145.0ms (1.1%)

Algorithm
egg-herbie
Rules
796×associate-/l*
734×associate-*r*
608×associate-*l*
564×associate-/l/
560×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05919736
117069134
Stop Event
node limit
Counts
236 → 316
Calls
Call 1
Inputs
x
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
x
x
x
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(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
x
x
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
x
x
(-.f64 (exp.f64 (log1p.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))) 1)
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(/.f64 1 (/.f64 z (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)))
(/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) z)
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) 751220861604756070699018739433/10000000000000000000000000000000))
(/.f64 (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (/.f64 z (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y))) (/.f64 z (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y))))
(/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))
(/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) (neg.f64 z))
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(/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 z y)) (cbrt.f64 (/.f64 z y)))) (cbrt.f64 (/.f64 z y)))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x x)))) (/.f64 (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x) (cbrt.f64 (-.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 x 3)))) (/.f64 (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 x 3)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2)) (-.f64 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))) (-.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x) (+.f64 (*.f64 x x) (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) 3) (pow.f64 (*.f64 x x) 3)) (*.f64 (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x) (+.f64 (*.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x x))))))
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(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (cbrt.f64 (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))) (cbrt.f64 (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))) (-.f64 (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))))))
(pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 3)
(pow.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2))
(log.f64 (exp.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(cbrt.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(exp.f64 (log.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(fma.f64 (/.f64 y z) 751220861604756070699018739433/10000000000000000000000000000000 x)
(fma.f64 1 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)
(fma.f64 1 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(fma.f64 (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) 2) (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) x)
Outputs
x
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x x)) 1) (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x x)) (sqrt.f64 (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))) (sqrt.f64 (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (cbrt.f64 (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))) (cbrt.f64 (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))) (-.f64 (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x x)) (*.f64 (-.f64 (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) (sqrt.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y z) 2) 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000) (*.f64 x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) (-.f64 (sqrt.f64 (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (+.f64 x (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)) (*.f64 (pow.f64 (/.f64 y z) 2) 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (+.f64 x (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)) (*.f64 (pow.f64 (/.f64 y z) 2) 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (*.f64 x (+.f64 x (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)) (*.f64 (pow.f64 (/.f64 y z) 2) 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000)))
(pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 1)
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(pow.f64 (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 2)
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(pow.f64 (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 3)
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(pow.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3) 1/3)
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(sqrt.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2))
(fabs.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(log.f64 (exp.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(cbrt.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(expm1.f64 (log1p.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(exp.f64 (log.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 1))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(log1p.f64 (expm1.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(fma.f64 (/.f64 y z) 751220861604756070699018739433/10000000000000000000000000000000 x)
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(fma.f64 1 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(fma.f64 1 x (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(fma.f64 (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) x)
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) 2) (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) x)
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (+.f64 6012459259764103/1000000000000000 z) z)
0.6b
(*.f64 692910599291889/10000000000000000 z)
4.6b
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))
18.6b
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
Compiler

Compiled 79 to 58 computations (26.6% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

15 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
0.0ms
z
@-inf
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
0.0ms
y
@0
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
0.0ms
z
@0
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
0.0ms
y
@inf
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))

rewrite119.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1724×associate-/l*
428×add-sqr-sqrt
406×pow1
406×*-un-lft-identity
404×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01899
141879
2572579
Stop Event
node limit
Counts
3 → 111
Calls
Call 1
Inputs
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))
(*.f64 (+.f64 6012459259764103/1000000000000000 z) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (*.f64 y (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) 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simplify121.0ms (0.9%)

Algorithm
egg-herbie
Rules
1456×associate-/r*
1010×associate-+l+
780×+-commutative
578×associate-+r+
540×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04016175
111065675
248955675
Stop Event
node limit
Counts
147 → 203
Calls
Call 1
Inputs
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(/.f64 (*.f64 y (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 2))) (-.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))))
(/.f64 (*.f64 y (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 3))) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) (-.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (*.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 2)) y) (-.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))))
(/.f64 (*.f64 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 3)) y) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) (-.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (-.f64 (*.f64 (*.f64 y 11167812716741/40000000000000) (*.f64 y 11167812716741/40000000000000)) (*.f64 (*.f64 z (*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) y)) (*.f64 z (*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) y)))) (-.f64 (*.f64 y 11167812716741/40000000000000) (*.f64 z (*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 y 11167812716741/40000000000000) 3) (pow.f64 (*.f64 z (*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) y)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 y 11167812716741/40000000000000) (*.f64 y 11167812716741/40000000000000)) (*.f64 (*.f64 z (*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) y)) (*.f64 z (*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) y)))) (*.f64 (*.f64 y 11167812716741/40000000000000) (*.f64 z (*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) y)))))
(pow.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))))
(fma.f64 y 11167812716741/40000000000000 (*.f64 z (*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) y)))
(fma.f64 11167812716741/40000000000000 y (*.f64 z (*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) y)))
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000))
(+.f64 (*.f64 z 6012459259764103/1000000000000000) (*.f64 z z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 1)
(/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000)))
(/.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) (/.f64 (-.f64 6012459259764103/1000000000000000 z) z))
(/.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z (-.f64 z 6012459259764103/1000000000000000))) z))
(/.f64 (*.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z))) (-.f64 6012459259764103/1000000000000000 z))
(/.f64 (*.f64 z (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z (-.f64 z 6012459259764103/1000000000000000))))
(/.f64 (*.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) z) (-.f64 6012459259764103/1000000000000000 z))
(/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z (-.f64 z 6012459259764103/1000000000000000))))
(pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 z 6012459259764103/1000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
Outputs
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))
(fma.f64 279195317918525/3350343815022304 y (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080)))
(fma.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 (-.f64 (*.f64 692910599291889/33503438150223040 y) (+.f64 (*.f64 272651677654809570312500000/10961722342634967150292985809 y) (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))) (pow.f64 z 2)) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
(fma.f64 (-.f64 (*.f64 y 692910599291889/33503438150223040) (fma.f64 272651677654809570312500000/10961722342634967150292985809 y (*.f64 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 6012459259764103/3350343815022304))) (*.f64 z z) (fma.f64 279195317918525/3350343815022304 y (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
(fma.f64 (-.f64 (*.f64 y -14702013702633488474276834617/3507751149643189488093755458880) (*.f64 y -937342705717422912365644116959149763360075617/188034757901510979839193143041976607183277752320)) (*.f64 z z) (fma.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 279195317918525/3350343815022304 y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 692910599291889/33503438150223040 y) (+.f64 (*.f64 272651677654809570312500000/10961722342634967150292985809 y) (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))) (*.f64 31250000000000/104698244219447 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))) (pow.f64 z 3))) (+.f64 (*.f64 (-.f64 (*.f64 692910599291889/33503438150223040 y) (+.f64 (*.f64 272651677654809570312500000/10961722342634967150292985809 y) (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))) (pow.f64 z 2)) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))))
(fma.f64 -1 (*.f64 (fma.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 y 692910599291889/33503438150223040) (fma.f64 272651677654809570312500000/10961722342634967150292985809 y (*.f64 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 6012459259764103/3350343815022304))) (*.f64 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 31250000000000/104698244219447)) (pow.f64 z 3)) (fma.f64 (-.f64 (*.f64 y 692910599291889/33503438150223040) (fma.f64 272651677654809570312500000/10961722342634967150292985809 y (*.f64 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 6012459259764103/3350343815022304))) (*.f64 z z) (fma.f64 279195317918525/3350343815022304 y (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080)))))
(fma.f64 (neg.f64 (fma.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 y -14702013702633488474276834617/3507751149643189488093755458880) (*.f64 y -937342705717422912365644116959149763360075617/188034757901510979839193143041976607183277752320)) (*.f64 y -951538397708915641577429109124755859375/1147673082894964476557575335949564252827623))) (pow.f64 z 3) (fma.f64 (-.f64 (*.f64 y -14702013702633488474276834617/3507751149643189488093755458880) (*.f64 y -937342705717422912365644116959149763360075617/188034757901510979839193143041976607183277752320)) (*.f64 z z) (fma.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 279195317918525/3350343815022304 y))))
(-.f64 (fma.f64 (-.f64 (*.f64 y -14702013702633488474276834617/3507751149643189488093755458880) (*.f64 y -937342705717422912365644116959149763360075617/188034757901510979839193143041976607183277752320)) (*.f64 z z) (fma.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 279195317918525/3350343815022304 y))) (*.f64 (fma.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 y -14702013702633488474276834617/3507751149643189488093755458880) (*.f64 y -937342705717422912365644116959149763360075617/188034757901510979839193143041976607183277752320)) (*.f64 y -951538397708915641577429109124755859375/1147673082894964476557575335949564252827623)) (pow.f64 z 3)))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(-.f64 (+.f64 (*.f64 307332350656623/625000000000000 (/.f64 y z)) (*.f64 692910599291889/10000000000000000 y)) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 (fma.f64 307332350656623/625000000000000 (/.f64 y z) (*.f64 y 692910599291889/10000000000000000)) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
(fma.f64 307332350656623/625000000000000 (/.f64 y z) (fma.f64 y 692910599291889/10000000000000000 (*.f64 (/.f64 y z) -4166096748901211929300981260567/10000000000000000000000000000000)))
(-.f64 (+.f64 (*.f64 307332350656623/625000000000000 (/.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 692910599291889/10000000000000000 y))) (+.f64 (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (*.f64 6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow.f64 z 2))) (*.f64 72546523146905574025723165383/312500000000000000000000000000 (/.f64 y (pow.f64 z 2))))))
(-.f64 (fma.f64 307332350656623/625000000000000 (/.f64 y z) (fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (*.f64 y 692910599291889/10000000000000000))) (fma.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z) (fma.f64 6012459259764103/1000000000000000 (/.f64 (*.f64 y 751220861604756070699018739433/10000000000000000000000000000000) (*.f64 z z)) (*.f64 (/.f64 y (*.f64 z z)) 72546523146905574025723165383/312500000000000000000000000000))))
(-.f64 (fma.f64 307332350656623/625000000000000 (/.f64 y z) (fma.f64 y 692910599291889/10000000000000000 (*.f64 (/.f64 y z) (/.f64 11167812716741/40000000000000 z)))) (fma.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000 (fma.f64 (/.f64 y (*.f64 z z)) 72546523146905574025723165383/312500000000000000000000000000 (/.f64 (*.f64 y 4516684825483483349725552750007781576003973599/10000000000000000000000000000000000000000000000) (*.f64 z z)))))
(-.f64 (+.f64 (*.f64 307332350656623/625000000000000 (/.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -1 (/.f64 (+.f64 (*.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 (*.f64 72546523146905574025723165383/312500000000000000000000000000 y) (*.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)))))) (*.f64 104698244219447/31250000000000 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)))) (pow.f64 z 3)))))) (+.f64 (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (*.f64 6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow.f64 z 2))) (*.f64 72546523146905574025723165383/312500000000000000000000000000 (/.f64 y (pow.f64 z 2))))))
(-.f64 (fma.f64 307332350656623/625000000000000 (/.f64 y z) (fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 692910599291889/10000000000000000 y (neg.f64 (/.f64 (fma.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 72546523146905574025723165383/312500000000000000000000000000 y (*.f64 6012459259764103/1000000000000000 (*.f64 y 751220861604756070699018739433/10000000000000000000000000000000)))) (*.f64 (*.f64 y 751220861604756070699018739433/10000000000000000000000000000000) 104698244219447/31250000000000)) (pow.f64 z 3)))))) (fma.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z) (fma.f64 6012459259764103/1000000000000000 (/.f64 (*.f64 y 751220861604756070699018739433/10000000000000000000000000000000) (*.f64 z z)) (*.f64 (/.f64 y (*.f64 z z)) 72546523146905574025723165383/312500000000000000000000000000))))
(-.f64 (fma.f64 307332350656623/625000000000000 (/.f64 y z) (-.f64 (fma.f64 y 692910599291889/10000000000000000 (*.f64 (/.f64 y z) (/.f64 11167812716741/40000000000000 z))) (/.f64 (fma.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 y 14702013702633488474276834617/312500000000000000000000000000) (*.f64 y 4516684825483483349725552750007781576003973599/10000000000000000000000000000000000000000000000)) (*.f64 y 78651505231038147067106019988416220964353551/312500000000000000000000000000000000000000000)) (pow.f64 z 3)))) (fma.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000 (fma.f64 (/.f64 y (*.f64 z z)) 72546523146905574025723165383/312500000000000000000000000000 (/.f64 (*.f64 y 4516684825483483349725552750007781576003973599/10000000000000000000000000000000000000000000000) (*.f64 z z)))))
(-.f64 (-.f64 (fma.f64 307332350656623/625000000000000 (/.f64 y z) (fma.f64 y 692910599291889/10000000000000000 (*.f64 (/.f64 y z) (/.f64 11167812716741/40000000000000 z)))) (/.f64 (fma.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 y 14702013702633488474276834617/312500000000000000000000000000) (*.f64 y 4516684825483483349725552750007781576003973599/10000000000000000000000000000000000000000000000)) (*.f64 y 78651505231038147067106019988416220964353551/312500000000000000000000000000000000000000000)) (pow.f64 z 3))) (fma.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000 (fma.f64 (/.f64 y (*.f64 z z)) 72546523146905574025723165383/312500000000000000000000000000 (/.f64 (*.f64 y 4516684825483483349725552750007781576003973599/10000000000000000000000000000000000000000000000) (*.f64 z z)))))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (*.f64 692910599291889/10000000000000000 y))
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(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(+.f64 (*.f64 z 6012459259764103/1000000000000000) (*.f64 z z))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 1)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000)))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(/.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) (/.f64 (-.f64 6012459259764103/1000000000000000 z) z))
(*.f64 (/.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) (-.f64 6012459259764103/1000000000000000 z)) z)
(*.f64 z (/.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) (-.f64 6012459259764103/1000000000000000 z)))
(/.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z (-.f64 z 6012459259764103/1000000000000000))) z))
(/.f64 (*.f64 z (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z (+.f64 z -6012459259764103/1000000000000000))))
(/.f64 (fma.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 4)) (fma.f64 z (+.f64 z -6012459259764103/1000000000000000) 36149666350323105395943207394609/1000000000000000000000000000000))
(/.f64 (*.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z))) (-.f64 6012459259764103/1000000000000000 z))
(*.f64 (/.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) (-.f64 6012459259764103/1000000000000000 z)) z)
(*.f64 z (/.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) (-.f64 6012459259764103/1000000000000000 z)))
(/.f64 (*.f64 z (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z (-.f64 z 6012459259764103/1000000000000000))))
(/.f64 (*.f64 z (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z (+.f64 z -6012459259764103/1000000000000000))))
(/.f64 (fma.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 4)) (fma.f64 z (+.f64 z -6012459259764103/1000000000000000) 36149666350323105395943207394609/1000000000000000000000000000000))
(/.f64 (*.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) z) (-.f64 6012459259764103/1000000000000000 z))
(*.f64 (/.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) (-.f64 6012459259764103/1000000000000000 z)) z)
(*.f64 z (/.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) (-.f64 6012459259764103/1000000000000000 z)))
(/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z (-.f64 z 6012459259764103/1000000000000000))))
(/.f64 (*.f64 z (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z (+.f64 z -6012459259764103/1000000000000000))))
(/.f64 (fma.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 4)) (fma.f64 z (+.f64 z -6012459259764103/1000000000000000) 36149666350323105395943207394609/1000000000000000000000000000000))
(pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 2)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1/3)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2))
(fabs.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 z 6012459259764103/1000000000000000)))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 1))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))

eval796.0ms (6.1%)

Compiler

Compiled 17919 to 11368 computations (36.6% saved)

prune173.0ms (1.3%)

Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New7864790
Fresh178
Picked011
Done246
Total78916805
Error
0.0b
Counts
805 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
42.3b
(/.f64 (fma.f64 y 11167812716741/40000000000000 (*.f64 z (*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) y))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
42.5b
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
46.3b
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
16.4b
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
13.7b
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
21.7b
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 z z) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
16.5b
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
16.3b
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
13.6b
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
12.8b
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
39.6b
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) y)
46.6b
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
47.8b
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
44.7b
(*.f64 y 692910599291889/10000000000000000)
43.8b
(*.f64 279195317918525/3350343815022304 y)
31.7b
x
Compiler

Compiled 410 to 312 computations (23.9% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
0.1b
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
0.6b
(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))
2.9b
(/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
Compiler

Compiled 64 to 39 computations (39.1% saved)

series9.0ms (0.1%)

Counts
4 → 48
Calls

15 calls:

TimeVariablePointExpression
2.0ms
y
@0
(/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
1.0ms
z
@-inf
(/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
1.0ms
z
@inf
(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))
1.0ms
y
@inf
(/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
1.0ms
y
@-inf
(/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))

rewrite174.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1270×distribute-lft-in
1078×associate-/l*
1050×associate-/r/
644×associate-/l/
316×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01370
130666
2437366
Stop Event
node limit
Counts
4 → 200
Calls
Call 1
Inputs
(/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) (*.f64 (/.f64 y (-.f64 (/.f64 126038177378157777536992880577915871121606103787480159157226253675678225955122762089879577600/12297610077491763478716591460487554509824512177309163162196099596778412212082614955911129 (pow.f64 z 4)) (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2))) (fma.f64 (neg.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 1 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (fma.f64 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simplify251.0ms (1.9%)

Algorithm
egg-herbie
Rules
1176×associate-*r*
860×*-commutative
754×associate-*l*
678×fma-def
568×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065212336
1196511710
Stop Event
node limit
Counts
248 → 311
Calls
Call 1
Inputs
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(cbrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 3))
(expm1.f64 (log.f64 (+.f64 10692910599291889/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(exp.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(exp.f64 (*.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 1))
(log1p.f64 (expm1.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(fma.f64 -2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z) 10000000000000000/692910599291889)
(fma.f64 1 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 10000000000000000/692910599291889)
(fma.f64 (sqrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (sqrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 10000000000000000/692910599291889)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2) (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 10000000000000000/692910599291889)
Outputs
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(*.f64 110894589937885443621994424373863149572276123/11226672587109583001949750908131634462275825760 (*.f64 y (pow.f64 z 2)))
(*.f64 110894589937885443621994424373863149572276123/11226672587109583001949750908131634462275825760 (*.f64 y (*.f64 z z)))
(*.f64 (*.f64 z z) (*.f64 y 110894589937885443621994424373863149572276123/11226672587109583001949750908131634462275825760))
(+.f64 (*.f64 19241279543223150768091811438746488995929822366238790960709178718454374994344579265920417/12603817737815777753699288057791587112160610378748015915722625367567822595512276208987957760 (*.f64 y (pow.f64 z 3))) (*.f64 110894589937885443621994424373863149572276123/11226672587109583001949750908131634462275825760 (*.f64 y (pow.f64 z 2))))
(fma.f64 19241279543223150768091811438746488995929822366238790960709178718454374994344579265920417/12603817737815777753699288057791587112160610378748015915722625367567822595512276208987957760 (*.f64 y (pow.f64 z 3)) (*.f64 110894589937885443621994424373863149572276123/11226672587109583001949750908131634462275825760 (*.f64 y (*.f64 z z))))
(fma.f64 110894589937885443621994424373863149572276123/11226672587109583001949750908131634462275825760 (*.f64 y (*.f64 z z)) (*.f64 (pow.f64 z 3) (*.f64 y 19241279543223150768091811438746488995929822366238790960709178718454374994344579265920417/12603817737815777753699288057791587112160610378748015915722625367567822595512276208987957760)))
(+.f64 (*.f64 19241279543223150768091811438746488995929822366238790960709178718454374994344579265920417/12603817737815777753699288057791587112160610378748015915722625367567822595512276208987957760 (*.f64 y (pow.f64 z 3))) (+.f64 (*.f64 110894589937885443621994424373863149572276123/11226672587109583001949750908131634462275825760 (*.f64 y (pow.f64 z 2))) (*.f64 -1 (*.f64 (pow.f64 z 4) (+.f64 (*.f64 -3338547341830021541645726258268852939809338089990610424003033040540950561982098783121956956103774386847599433129740939244834164572243/14149893509006190954727760653364082725709427618657692920768911168326995722846570243587625048823206142591152451574352163889034739999989760 y) (*.f64 6932718219968570462529845752172679398780951324761910243199241618202442641015625000000/4923366303834288185038784397574838715687738429198443717079150534206180701371982894135921 y))))))
(fma.f64 19241279543223150768091811438746488995929822366238790960709178718454374994344579265920417/12603817737815777753699288057791587112160610378748015915722625367567822595512276208987957760 (*.f64 y (pow.f64 z 3)) (fma.f64 110894589937885443621994424373863149572276123/11226672587109583001949750908131634462275825760 (*.f64 y (*.f64 z z)) (neg.f64 (*.f64 (pow.f64 z 4) (*.f64 y 16586280202304709744748544327959696745814729907724332341344282060651891119671154278954247624405777352246869560350781796755165835427757/14149893509006190954727760653364082725709427618657692920768911168326995722846570243587625048823206142591152451574352163889034739999989760)))))
(-.f64 (fma.f64 110894589937885443621994424373863149572276123/11226672587109583001949750908131634462275825760 (*.f64 y (*.f64 z z)) (*.f64 (pow.f64 z 3) (*.f64 y 19241279543223150768091811438746488995929822366238790960709178718454374994344579265920417/12603817737815777753699288057791587112160610378748015915722625367567822595512276208987957760))) (*.f64 y (*.f64 16586280202304709744748544327959696745814729907724332341344282060651891119671154278954247624405777352246869560350781796755165835427757/14149893509006190954727760653364082725709427618657692920768911168326995722846570243587625048823206142591152451574352163889034739999989760 (pow.f64 z 4))))
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(/.f64 (-.f64 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/110678490697425871308449323144387990588420609595782468459764896371005709908743534603200161 (pow.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) 3)) (*.f64 (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (+.f64 10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 (+.f64 (*.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z))) (/.f64 627036425455768970685241515145891528384819349665000387957210000000000000000000000000000000000/12297610077491763478716591460487554509824512177309163162196099596778412212082614955911129 (*.f64 z z))))))
(/.f64 (/.f64 (+.f64 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/110678490697425871308449323144387990588420609595782468459764896371005709908743534603200161 (/.f64 -246534845204788139253147594254430968308551244151050897465456804162707889926125573627657100536838389171431967577559624553156419854341615482224460865092793619283814777407144590361000000/16803468179780775216885921295796359872061317221194245805326762852066607351889310309205964427004314445680118554586096926030424169762141806681622926973858003506099309833171783849 (pow.f64 (*.f64 z z) 3))) (+.f64 10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 (*.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) (+.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) 100000000000000000000000000000000/480125098611044764748221188321)))) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 (neg.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)))) (neg.f64 (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(/.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z))) (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 -6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z))) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 (neg.f64 (+.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3))) (neg.f64 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (-.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) (/.f64 -25040695386825202356633957981100000000000000000/110894589937885443621994424373863149572276123 z)))))
(*.f64 (+.f64 (/.f64 -15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3)) 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369) (/.f64 1 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (-.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) (/.f64 -25040695386825202356633957981100000000000000000/110894589937885443621994424373863149572276123 z)))))
(/.f64 (+.f64 (/.f64 -15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3)) 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369) (+.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) (+.f64 (/.f64 25040695386825202356633957981100000000000000000/110894589937885443621994424373863149572276123 z) 100000000000000000000000000000000/480125098611044764748221188321)))
(pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 1)
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(pow.f64 (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 2)
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 3)
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(pow.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 3) 1/3)
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(sqrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2))
(fabs.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(log.f64 (exp.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(cbrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 3))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(expm1.f64 (log.f64 (+.f64 10692910599291889/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(exp.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(exp.f64 (*.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 1))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(log1p.f64 (expm1.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(fma.f64 -2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z) 10000000000000000/692910599291889)
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(fma.f64 1 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 10000000000000000/692910599291889)
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(fma.f64 (sqrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (sqrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 10000000000000000/692910599291889)
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2) (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 10000000000000000/692910599291889)
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 279195317918525/3350343815022304 y)
Compiler

Compiled 8 to 6 computations (25% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
0.2b
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
0.4b
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

series11.0ms (0.1%)

Counts
3 → 36
Calls

12 calls:

TimeVariablePointExpression
6.0ms
y
@0
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
4.0ms
y
@inf
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
0.0ms
z
@0
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
0.0ms
z
@-inf
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
0.0ms
z
@inf
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))

rewrite128.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1220×associate-*r/
916×*-commutative
804×associate-*l/
682×unswap-sqr
536×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0939
120439
2263839
Stop Event
node limit
Counts
3 → 152
Calls
Call 1
Inputs
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
Outputs
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(/.f64 (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (/.f64 (+.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z)) (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 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simplify212.0ms (1.6%)

Algorithm
egg-herbie
Rules
1338×associate-/l/
970×associate-/r/
560×distribute-lft-neg-in
556×associate-*l*
540×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04037126
111136826
248726688
Stop Event
node limit
Counts
188 → 248
Calls
Call 1
Inputs
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(pow.f64 (sqrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 2)
(pow.f64 (cbrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 3)
(pow.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3) 1/3)
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
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(exp.f64 (log.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(log1p.f64 (expm1.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (pow.f64 z -1) 692910599291889/10000000000000000)
(fma.f64 1 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)
(fma.f64 (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 692910599291889/10000000000000000)
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(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))
(pow.f64 (cbrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 3)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))
(pow.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3) 1/3)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))
(neg.f64 (/.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z))) (+.f64 -692910599291889/10000000000000000 (neg.f64 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))))
(/.f64 (+.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z)) -480125098611044764748221188321/100000000000000000000000000000000) (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) -692910599291889/10000000000000000))
(/.f64 (+.f64 (/.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 z) z) -480125098611044764748221188321/100000000000000000000000000000000) (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) -692910599291889/10000000000000000))
(neg.f64 (/.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 -480125098611044764748221188321/100000000000000000000000000000000 (neg.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) -692910599291889/10000000000000000))))))
(/.f64 (+.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 -423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (-.f64 -480125098611044764748221188321/100000000000000000000000000000000 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) -692910599291889/10000000000000000))))
(/.f64 (+.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 -423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) -480125098611044764748221188321/100000000000000000000000000000000))
(sqrt.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2))
(fabs.f64 (-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
(log.f64 (exp.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))
(cbrt.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))
(expm1.f64 (log.f64 (+.f64 10692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))
(exp.f64 (log.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))
(log1p.f64 (expm1.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (pow.f64 z -1) 692910599291889/10000000000000000)
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(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))
(fma.f64 1 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))
(fma.f64 (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 692910599291889/10000000000000000)
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(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2) (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 692910599291889/10000000000000000)
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(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
0.0b
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
0.1b
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
0.2b
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
Compiler

Compiled 32 to 22 computations (31.3% saved)

series5.0ms (0%)

Counts
4 → 72
Calls

21 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
1.0ms
y
@0
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
1.0ms
y
@-inf
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
1.0ms
x
@0
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
0.0ms
z
@0
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))

rewrite136.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1412×associate-/r*
870×associate-/l*
704×distribute-rgt-in
674×distribute-lft-in
572×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01164
125464
2351564
Stop Event
node limit
Counts
4 → 214
Calls
Call 1
Inputs
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
Outputs
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10000000000000000/692910599291889))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (-.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 3))) 100000000000000000000000000000000/480125098611044764748221188321) (*.f64 (/.f64 y (-.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 3))) (+.f64 (pow.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 2) (/.f64 25040695386825202356633957981100000000000000000/110894589937885443621994424373863149572276123 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (-.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 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simplify181.0ms (1.4%)

Algorithm
egg-herbie
Rules
906×associate-*r*
752×associate-*l*
606×*-commutative
554×fma-def
546×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058810516
1178010314
Stop Event
node limit
Counts
286 → 345
Calls
Call 1
Inputs
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(fma.f64 (sqrt.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) (sqrt.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) 2) (cbrt.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
Outputs
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(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
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(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
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(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
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(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
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(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
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(*.f64 (*.f64 -160041699537014921582740396107/2504069538682520235663395798110 y) z)
(*.f64 y (*.f64 z -160041699537014921582740396107/2504069538682520235663395798110))
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(fma.f64 -160041699537014921582740396107/2504069538682520235663395798110 (*.f64 y z) (*.f64 (*.f64 z z) (*.f64 y -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721)))
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(*.f64 692910599291889/10000000000000000 y)
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10000000000000000/692910599291889
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x
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) x)))
(+.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) x)
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(exp.f64 (log.f64 (+.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) x)))
(+.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) x)
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) x)) 1))
(+.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) x)
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) x)))
(+.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) x)
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(fma.f64 y (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) x)
(+.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) x)
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(fma.f64 1 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) x)
(+.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) x)
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(fma.f64 1 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) x)
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(fma.f64 (sqrt.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) (sqrt.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) x)
(+.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) x)
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) x)
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) 2) (cbrt.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) x)
(+.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) x)
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) x)
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))

localize59.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
0.6b
(*.f64 692910599291889/10000000000000000 z)
0.6b
(*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
15.7b
(/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
Compiler

Compiled 164 to 123 computations (25% saved)

eval615.0ms (4.7%)

Compiler

Compiled 32955 to 24104 computations (26.9% saved)

prune287.0ms (2.2%)

Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New117931182
Fresh156
Picked101
Done099
Total1181171198
Error
0b
Counts
1198 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
42.3b
(/.f64 (fma.f64 y 11167812716741/40000000000000 (*.f64 z (*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) y))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
42.5b
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
46.3b
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
16.6b
(/.f64 1 (/.f64 1 (+.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) x)))
21.0b
(+.f64 (*.f64 (+.f64 (*.f64 307332350656623/2093964884388940 z) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
13.7b
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
16.5b
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
16.3b
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
13.6b
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
12.8b
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
16.5b
(+.f64 x (*.f64 (/.f64 y (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
39.6b
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) y)
46.6b
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
47.8b
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
44.7b
(*.f64 y 692910599291889/10000000000000000)
43.8b
(*.f64 279195317918525/3350343815022304 y)
31.7b
x
Compiler

Compiled 234 to 180 computations (23.1% saved)

regimes230.0ms (1.8%)

Counts
29 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) x)))
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(+.f64 x (*.f64 (/.f64 y (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (*.f64 (+.f64 (*.f64 307332350656623/2093964884388940 z) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) y)
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 z z) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(/.f64 (fma.f64 y 11167812716741/40000000000000 (*.f64 z (*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) y))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 x (/.f64 (fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z) (*.f64 y 11167812716741/40000000000000))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)
Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
Calls

5 calls:

72.0ms
x
60.0ms
y
40.0ms
z
24.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
23.0ms
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Results
ErrorSegmentsBranch
7.5b6x
8.1b5y
0.1b3z
0.2b2(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
0.2b2(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Compiler

Compiled 463 to 324 computations (30% saved)

bsearch34.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
1.407804740584584
241.90841945492747
18.0ms
-1.2379788724525479e+20
-4193403056624964.0
Results
29.0ms240×body256valid
Compiler

Compiled 550 to 402 computations (26.9% saved)

regimes220.0ms (1.7%)

Counts
28 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) x)))
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(+.f64 x (*.f64 (/.f64 y (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (*.f64 (+.f64 (*.f64 307332350656623/2093964884388940 z) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) y)
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 z z) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(/.f64 (fma.f64 y 11167812716741/40000000000000 (*.f64 z (*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) y))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 x (/.f64 (fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z) (*.f64 y 11167812716741/40000000000000))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
Calls

5 calls:

69.0ms
x
57.0ms
y
37.0ms
z
23.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
23.0ms
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Results
ErrorSegmentsBranch
7.6b6x
8.1b5y
0.1b3z
0.3b2(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
0.3b2(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Compiler

Compiled 446 to 313 computations (29.8% saved)

bsearch21.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
1.407804740584584
241.90841945492747
5.0ms
-1.2379788724525479e+20
-4193403056624964.0
Results
17.0ms144×body256valid
Compiler

Compiled 379 to 279 computations (26.4% saved)

regimes210.0ms (1.6%)

Counts
26 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) x)))
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(+.f64 x (*.f64 (/.f64 y (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (*.f64 (+.f64 (*.f64 307332350656623/2093964884388940 z) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) y)
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 z z) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(/.f64 (fma.f64 y 11167812716741/40000000000000 (*.f64 z (*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) y))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 x (/.f64 (fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z) (*.f64 y 11167812716741/40000000000000))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 x (/.f64 (fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z) (*.f64 y 11167812716741/40000000000000))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
Calls

5 calls:

65.0ms
x
55.0ms
y
36.0ms
z
22.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
22.0ms
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Results
ErrorSegmentsBranch
7.6b6x
8.3b5y
0.2b3z
0.4b2(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
0.4b2(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Compiler

Compiled 410 to 289 computations (29.5% saved)

bsearch26.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
1.407804740584584
241.90841945492747
9.0ms
-6.853911890084455e+50
-3.82154273242522e+50
Results
22.0ms176×body256valid
Compiler

Compiled 518 to 369 computations (28.8% saved)

regimes202.0ms (1.5%)

Counts
25 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) x)))
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(+.f64 x (*.f64 (/.f64 y (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (*.f64 (+.f64 (*.f64 307332350656623/2093964884388940 z) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 -11167812716741/40000000000000 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) y)
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 z z) 480125098611044764748221188321/100000000000000000000000000000000)) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(/.f64 (fma.f64 y 11167812716741/40000000000000 (*.f64 z (*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) y))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
Calls

5 calls:

64.0ms
x
52.0ms
y
33.0ms
z
22.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
21.0ms
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Results
ErrorSegmentsBranch
7.6b6x
8.3b5y
0.2b3z
0.4b2(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
0.4b2(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Compiler

Compiled 385 to 275 computations (28.6% saved)

bsearch35.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
1.407804740584584
241.90841945492747
19.0ms
-1.2379788724525479e+20
-4193403056624964.0
Results
30.0ms240×body256valid
Compiler

Compiled 610 to 462 computations (24.3% saved)

regimes184.0ms (1.4%)

Counts
19 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) x)))
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(+.f64 x (*.f64 (/.f64 y (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (*.f64 (+.f64 (*.f64 307332350656623/2093964884388940 z) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
Calls

3 calls:

134.0ms
x
27.0ms
z
17.0ms
y
Results
ErrorSegmentsBranch
8.1b4x
10.9b2y
0.3b3z
Compiler

Compiled 188 to 131 computations (30.3% saved)

bsearch34.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
1.407804740584584
241.90841945492747
18.0ms
-1.2379788724525479e+20
-4193403056624964.0
Results
30.0ms240×body256valid
Compiler

Compiled 430 to 327 computations (24% saved)

regimes71.0ms (0.5%)

Counts
15 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) x)))
Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
Calls

3 calls:

29.0ms
x
23.0ms
z
15.0ms
y
Results
ErrorSegmentsBranch
8.9b4x
10.9b2y
0.3b3z
Compiler

Compiled 116 to 79 computations (31.9% saved)

bsearch34.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
1.407804740584584
241.90841945492747
18.0ms
-1.2379788724525479e+20
-4193403056624964.0
Results
31.0ms240×body256valid
Compiler

Compiled 388 to 299 computations (22.9% saved)

regimes105.0ms (0.8%)

Counts
11 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Calls

3 calls:

72.0ms
x
18.0ms
z
13.0ms
y
Results
ErrorSegmentsBranch
8.9b4x
10.9b2y
0.4b3z
Compiler

Compiled 72 to 49 computations (31.9% saved)

bsearch91.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
73.0ms
1.407804740584584
241.90841945492747
18.0ms
-1.2379788724525479e+20
-4193403056624964.0
Results
88.0ms240×body256valid
Compiler

Compiled 360 to 278 computations (22.8% saved)

regimes111.0ms (0.8%)

Counts
10 → 3
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Calls

3 calls:

74.0ms
x
24.0ms
z
11.0ms
y
Results
ErrorSegmentsBranch
8.9b4x
10.9b2y
0.6b3z
Compiler

Compiled 63 to 43 computations (31.7% saved)

bsearch92.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
75.0ms
1.407804740584584
241.90841945492747
17.0ms
-1.2379788724525479e+20
-4193403056624964.0
Results
89.0ms240×body256valid
Compiler

Compiled 300 to 233 computations (22.3% saved)

regimes60.0ms (0.5%)

Counts
4 → 2
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
Outputs
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(*.f64 y 692910599291889/10000000000000000)
Calls

3 calls:

43.0ms
z
12.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
11.8b3x
12.8b1y
11.7b2z
Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
2.774356588634116e+68
4.7326371626638303e+70
Results
14.0ms112×body256valid
Compiler

Compiled 142 to 114 computations (19.7% saved)

regimes103.0ms (0.8%)

Counts
3 → 7
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
Outputs
x
(*.f64 y 692910599291889/10000000000000000)
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 279195317918525/3350343815022304 y)
x
Calls

3 calls:

57.0ms
z
26.0ms
x
19.0ms
y
Results
ErrorSegmentsBranch
20.2b7x
20.9b5y
22.6b10z
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch227.0ms (1.7%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
5.992645623456202e-73
8.843287100293037e-65
65.0ms
2.7654017045765914e-163
1.4144695801539714e-157
23.0ms
2.7419053352802337e-307
1.0743164316159271e-296
21.0ms
-2.650538936247705e-112
-1.0921543018251826e-119
68.0ms
-3.1504216671594357e-81
-9.325461431532526e-91
29.0ms
-1.7194413147008866e-59
-1.6522969292576e-74
Results
170.0ms896×body256valid
Compiler

Compiled 740 to 621 computations (16.1% saved)

regimes43.0ms (0.3%)

Accuracy

Total -40.8b remaining (-193.9%)

Threshold costs -40.8b (-193.9%)

Counts
2 → 5
Calls
Call 1
Inputs
x
(*.f64 279195317918525/3350343815022304 y)
Outputs
(*.f64 279195317918525/3350343815022304 y)
x
(*.f64 279195317918525/3350343815022304 y)
x
(*.f64 279195317918525/3350343815022304 y)
Calls

3 calls:

17.0ms
y
14.0ms
z
11.0ms
x
Results
ErrorSegmentsBranch
22.7b3x
21.1b5y
27.5b5z
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch61.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
9.796384681750744e+26
3.511947450494941e+32
11.0ms
1.2792467934043342e-54
3.806785984603839e-54
18.0ms
7.312534280403027e-98
4.389998324862862e-96
11.0ms
-13236.15968873148
-5491.005246941332
Results
56.0ms416×body256valid
Compiler

Compiled 342 to 283 computations (17.3% saved)

simplify65.0ms (0.5%)

Algorithm
egg-herbie
Rules
34×+-commutative
22×*-commutative
10×if-if-or-not
not-or
not-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131990
1170990
2180990
3188990
4193990
5197990
6198990
7199990
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 z -12000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 240) (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))))
(if (<=.f64 z -500000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 240) (+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))))
(if (<=.f64 z -400000000000000030519079364367548013179859883786240) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 240) (+.f64 x (/.f64 (fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z) (*.f64 y 11167812716741/40000000000000))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))))
(if (<=.f64 z -4200000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 240) (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))))
(if (<=.f64 z -4200000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 6980579422424269/1125899906842624) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))))
(if (<=.f64 z -4200000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 13/2) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (<=.f64 z -4200000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 6980579422424269/1125899906842624) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -4200000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 6) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z 36999999999999998852424293951859553771992285281148353307325970293719040) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (*.f64 y 692910599291889/10000000000000000))
(if (<=.f64 x -331999078261233/474284397516047136454946754595585670566993857190463750305618264096412179005177856) x (if (<=.f64 x -1640438043587259/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (*.f64 y 692910599291889/10000000000000000) (if (<=.f64 x -3282840917839045/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) x (if (<=.f64 x 5790774916858023/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (*.f64 279195317918525/3350343815022304 y) (if (<=.f64 x 2127041452668699/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (*.f64 y 692910599291889/10000000000000000) (if (<=.f64 x 4351578318585633/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408) (*.f64 279195317918525/3350343815022304 y) x))))))
(if (<=.f64 y -13000) (*.f64 279195317918525/3350343815022304 y) (if (<=.f64 y 5170551350234871/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) x (if (<=.f64 y 8972270250827733/6901746346790563787434755862277025452451108972170386555162524223799296) (*.f64 279195317918525/3350343815022304 y) (if (<=.f64 y 11199999999999999321987872718848) x (*.f64 279195317918525/3350343815022304 y)))))
x
Outputs
(if (<=.f64 z -12000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 240) (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))))
(if (<=.f64 z -500000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 240) (+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))))
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x
Compiler

Compiled 418 to 292 computations (30.1% saved)

soundness266.0ms (2%)

Algorithm
egg-herbie
Rules
1044×fma-def
1044×fma-def
1044×fma-def
882×+-commutative
862×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02049
14149
27745
315545
430045
549745
670345
780845
898945
9114245
10120245
11120345
02049
14149
27745
315545
430045
549745
670345
780845
898945
9114245
10120245
11120345
02049
14149
27745
315545
430045
549745
670345
780845
898945
9114245
10120245
11120345
05199338
114988844
270858844
Stop Event
node limit
saturated
saturated
saturated
Compiler

Compiled 591 to 424 computations (28.3% saved)

end174.0ms (1.3%)

Compiler

Compiled 385 to 255 computations (33.8% saved)

Profiling

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