Details

Time bar (total: 12.5s)

analyze371.0ms (3%)

Algorithm
1×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)

sample1.0s (8.3%)

Results
1.0s8256×body256valid
Bogosity

preprocess114.0ms (0.9%)

Algorithm
2×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
1×saturated
1×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)

simplify41.0ms (0.3%)

Algorithm
1×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
1×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)

prune4.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New347
Fresh011
Picked000
Done000
Total358
Accurracy
76.8%
Counts
8 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.7%
(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)
▶68.5%
(+.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)))
▶76.5%
(+.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))))
▶76.3%
(+.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 Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
✓99.6%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓93.4%
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
✓71.2%
(*.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)

series10.0ms (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
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
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
@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))

rewrite128.0ms (1%)

Algorithm
1×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
1×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
(((+.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)) (2)) ((+.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)))) (2)) ((+.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)))) (2)) ((+.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)) (2)) ((-.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) (2)) ((/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (2)) ((/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) (2)) ((/.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) (2)) ((/.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))) (2)) ((/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (2)) ((/.f64 (*.f64 (sqrt.f64 y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 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simplify166.0ms (1.3%)

Algorithm
1×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
1×node limit
Counts
292 → 366
Calls
Call 1
Inputs
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(+.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)))
(log.f64 (+.f64 1 (expm1.f64 (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))
(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 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)
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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)))
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(fma.f64 279195317918525/3350343815022304 y (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
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(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)

localize31.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
✓99.8%
(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)
99.6%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓76.7%
(/.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)

series6.0ms (0%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
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 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))

rewrite124.0ms (1%)

Algorithm
1×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
1×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
(((+.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)))) (2)) ((+.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)) (2)) ((+.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)) (2)) ((-.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) (2)) ((*.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) (2)) ((*.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 1) (2)) ((*.f64 1 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) (2)) ((*.f64 (sqrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) (sqrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (2)) ((*.f64 (sqrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 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)))) (2)) ((*.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)) (2)) ((*.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)))) (2)) ((*.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)))) (2)) ((*.f64 (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) (2)) ((*.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (/.f64 1 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (2)) ((*.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))) (2)) ((*.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)))) (2)) ((*.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)))) (2)) ((*.f64 -1 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) (2)) ((*.f64 (/.f64 1 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (2)) ((*.f64 (/.f64 (sqrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) (2)) ((*.f64 (/.f64 (sqrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) (2)) ((*.f64 (/.f64 (sqrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 2)) (/.f64 (sqrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) 2) (sqrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) (/.f64 (cbrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) (sqrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) 2) (pow.f64 (cbrt.f64 (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)))) (2)) ((*.f64 (/.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) 1) (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)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) 2) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (cbrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) (2)) ((*.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (-.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)) (2)) ((*.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (+.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)))) (2)) ((*.f64 (/.f64 1 (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)) 2))) (cbrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) (2)) ((*.f64 (/.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) 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)) (2)) ((*.f64 (/.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) 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)))) (2)) ((pow.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 1) (2)) ((pow.f64 (sqrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 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simplify169.0ms (1.3%)

Algorithm
1×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
1×node limit
Counts
210 → 268
Calls
Call 1
Inputs
3350343815022304/279195317918525
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10000000000000000/692910599291889
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(*.f64 (/.f64 (/.f64 y 1) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
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(*.f64 (/.f64 (/.f64 y 1) (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 2))) (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(*.f64 (/.f64 (/.f64 y 1) -1) (neg.f64 (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(*.f64 (/.f64 (/.f64 y 1) (neg.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (neg.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) 1) (sqrt.f64 (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (sqrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) (sqrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (sqrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (sqrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(*.f64 (/.f64 (/.f64 y (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)) 1) (cbrt.f64 (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(*.f64 (/.f64 (/.f64 y (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 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(*.f64 (/.f64 (/.f64 y (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 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (cbrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(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))) 1)
(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)
(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)))
(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))))
(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))))))
(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
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(fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)
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(+.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (*.f64 z z)))
(fma.f64 155900051080628738716045985239/389750127738131234692690878125 z (fma.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (*.f64 z z) 3350343815022304/279195317918525))
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(fma.f64 155900051080628738716045985239/389750127738131234692690878125 z (fma.f64 119290279017840661005388637518195067609906756376454090785993/1519051620718896144731238710708768455317203651375836035156250 (pow.f64 z 3) (+.f64 3350343815022304/279195317918525 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (*.f64 z z)))))
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10000000000000000/692910599291889
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10000000000000000/692910599291889
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(-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)) (*.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (+.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))
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11167812716741/40000000000000
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(fma.f64 z 307332350656623/625000000000000 11167812716741/40000000000000)
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(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (*.f64 (*.f64 z z) 692910599291889/10000000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
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(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (*.f64 (*.f64 z z) 692910599291889/10000000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2))
(*.f64 (*.f64 z z) 692910599291889/10000000000000000)
(*.f64 z (*.f64 z 692910599291889/10000000000000000))
(+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))
(fma.f64 307332350656623/625000000000000 z (*.f64 (*.f64 z z) 692910599291889/10000000000000000))
(*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2))))
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(/.f64 (/.f64 (*.f64 y (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (sqrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
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(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (sqrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (sqrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (sqrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (sqrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(*.f64 (/.f64 (/.f64 y (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)) 1) (cbrt.f64 (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))
(/.f64 (*.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))) y) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2))
(*.f64 (/.f64 (/.f64 y (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 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(/.f64 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (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))) (cbrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 (/.f64 y (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)))
(*.f64 (/.f64 (/.f64 y (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 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (cbrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(*.f64 (/.f64 y (*.f64 (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2))) (cbrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(*.f64 (/.f64 (/.f64 y (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)) (cbrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(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))) 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)))
(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)
(*.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)))
(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)
(*.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)))
(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)
(*.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)))
(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)
(*.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)))
(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)))

localize43.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
✓99.3%
(*.f64 z 692910599291889/10000000000000000)
✓94.4%
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
✓69.6%
(/.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
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))
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 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
0.0ms
y
@inf
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))

rewrite126.0ms (1%)

Algorithm
1×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
1×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
(((-.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) (2)) ((*.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)))) (2)) ((*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (2)) ((*.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)))) (2)) ((*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (2)) ((*.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))) (2)) ((*.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) (2)) ((*.f64 1 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (2)) ((*.f64 (sqrt.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 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simplify136.0ms (1.1%)

Algorithm
1×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
1×node limit
Counts
196 → 224
Calls
Call 1
Inputs
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(pow.f64 (pow.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))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) -1)
(neg.f64 (/.f64 y (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(sqrt.f64 (pow.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))) 2))
(log.f64 (exp.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)))))
(log.f64 (+.f64 1 (expm1.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))))))
(cbrt.f64 (pow.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))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3)))
(expm1.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)))))
(exp.f64 (log.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)))))
(exp.f64 (*.f64 (log.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))
(log1p.f64 (expm1.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)))))
(+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000))
(+.f64 (*.f64 y 11167812716741/40000000000000) (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)))
(+.f64 (*.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) 1) (*.f64 (*.f64 y 11167812716741/40000000000000) 1))
(+.f64 (*.f64 (*.f64 y 11167812716741/40000000000000) 1) (*.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) 1)
(/.f64 y (/.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 1 y))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1)
(/.f64 1 (/.f64 1 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(/.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (/.f64 1 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (sqrt.f64 y) (/.f64 1 (*.f64 (sqrt.f64 y) (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 (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) y)))
(/.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
(/.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)))
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(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.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 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.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 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3))
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3)))
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) (pow.f64 y 3)))
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.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 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.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 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1))
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(fma.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 y 11167812716741/40000000000000))
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(fma.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y (*.f64 y 11167812716741/40000000000000))
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000))) 1)
(*.f64 692910599291889/10000000000000000 z)
(pow.f64 (*.f64 z 692910599291889/10000000000000000) 1)
(*.f64 692910599291889/10000000000000000 z)
(pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2)
(*.f64 692910599291889/10000000000000000 z)
(pow.f64 (cbrt.f64 (*.f64 z 692910599291889/10000000000000000)) 3)
(*.f64 692910599291889/10000000000000000 z)
(pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(sqrt.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 z z)))
(sqrt.f64 (*.f64 (*.f64 z z) 480125098611044764748221188321/100000000000000000000000000000000))
(sqrt.f64 (*.f64 z (*.f64 z 480125098611044764748221188321/100000000000000000000000000000000)))
(log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) z))
(*.f64 692910599291889/10000000000000000 z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z 692910599291889/10000000000000000))))
(*.f64 692910599291889/10000000000000000 z)
(cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 z)
(exp.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 z)
(exp.f64 (*.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)) 1))
(*.f64 692910599291889/10000000000000000 z)
(log1p.f64 (expm1.f64 (*.f64 z 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 z)
(+.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 (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))

localize27.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.8%
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
✓99.7%
(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)
99.6%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓77.5%
(/.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)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
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
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
z
@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)

rewrite104.0ms (0.8%)

Algorithm
1×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
1×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
(((-.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) (2)) ((*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (2)) ((*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1) (2)) ((*.f64 1 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (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)) (*.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)))) (2)) ((*.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)))) (2)) ((*.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 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6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 2) (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) (2)) ((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) (2)) ((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)) (2)) ((log.f64 (exp.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 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692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))) (2)) ((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)) (2)) ((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))) (2)))

simplify118.0ms (0.9%)

Algorithm
1×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
1×node limit
Counts
116 → 147
Calls
Call 1
Inputs
279195317918525/3350343815022304
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692910599291889/10000000000000000
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692910599291889/10000000000000000
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x
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x
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x
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(/.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))))
(+.f64 279195317918525/3350343815022304 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)))))
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(+.f64 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z) (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)))))
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692910599291889/10000000000000000
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(-.f64 (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))
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692910599291889/10000000000000000
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(-.f64 (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))
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(+.f64 692910599291889/10000000000000000 (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))))
(-.f64 (+.f64 692910599291889/10000000000000000 (+.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
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(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
(fma.f64 279195317918525/3350343815022304 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x))
(+.f64 x (*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304)))
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(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 (*.f64 z z) y) (fma.f64 279195317918525/3350343815022304 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)))
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z (*.f64 z y)) (fma.f64 279195317918525/3350343815022304 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)))
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z (*.f64 z y)) (+.f64 x (*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))))
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(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 (*.f64 z z) y) (fma.f64 279195317918525/3350343815022304 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) (fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 (pow.f64 z 3) y) x))))
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z (*.f64 z y)) (fma.f64 279195317918525/3350343815022304 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) (fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 (pow.f64 z 3) y) x))))
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z (*.f64 z y)) (+.f64 (fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 (pow.f64 z 3) y) x) (*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))))
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(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)
(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))))
(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)
(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))
(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)
(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)))
(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)
(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)))
(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)
(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))
(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)
(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)))
(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)

eval575.0ms (4.6%)

Compiler

Compiled 30150 to 20937 computations (30.6% saved)

prune288.0ms (2.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1109151124
Fresh000
Picked101
Done213
Total1112161128
Accurracy
100.0%
Counts
1128 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.6%
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
▶66.7%
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
80.1%
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
63.6%
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
78.0%
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
68.1%
(+.f64 x (/.f64 (fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 11167812716741/40000000000000 y (*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
73.6%
(+.f64 x (/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
✓68.5%
(+.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)))
64.7%
(+.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)))
73.8%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
74.3%
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
▶76.5%
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
▶78.2%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
▶80.2%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
▶76.3%
(+.f64 x (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
51.1%
x
Compiler

Compiled 482 to 353 computations (26.8% saved)

localize6.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(/.f64 y 3350343815022304/279195317918525)
Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 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)

rewrite63.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1020×add-sqr-sqrt
988×*-un-lft-identity
944×pow1
938×add-cube-cbrt
930×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11087
212597
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(/.f64 y 3350343815022304/279195317918525)
Outputs
(((-.f64 (+.f64 1 (*.f64 y 279195317918525/3350343815022304)) 1) (2)) ((*.f64 y 279195317918525/3350343815022304) (2)) ((*.f64 (*.f64 y 279195317918525/3350343815022304) 1) (2)) ((*.f64 1 (*.f64 y 279195317918525/3350343815022304)) (2)) ((*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 279195317918525/3350343815022304)) (2)) ((*.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))) (2)) ((*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 279195317918525/3350343815022304)) (2)) ((*.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304))) (2)) ((*.f64 279195317918525/3350343815022304 y) (2)) ((*.f64 (neg.f64 y) -279195317918525/3350343815022304) (2)) ((pow.f64 (*.f64 y 279195317918525/3350343815022304) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3) (2)) ((pow.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3) 1/3) (2)) ((pow.f64 (/.f64 3350343815022304/279195317918525 y) -1) (2)) ((neg.f64 (/.f64 y -3350343815022304/279195317918525)) (2)) ((sqrt.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) (2)) ((log.f64 (pow.f64 (exp.f64 y) 279195317918525/3350343815022304)) (2)) ((cbrt.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) (2)) ((exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304))) (2)) ((log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))) (2)))

simplify41.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1414×distribute-rgt-in
1414×distribute-lft-in
1304×associate-*r*
1016×associate-*l*
842×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057255
1132255
2500249
33246249
Stop Event
1×node limit
Counts
35 → 25
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 (+.f64 1 (*.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 (pow.f64 (cbrt.f64 y) 2) (*.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 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3) 1/3)
(pow.f64 (/.f64 3350343815022304/279195317918525 y) -1)
(neg.f64 (/.f64 y -3350343815022304/279195317918525))
(sqrt.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))
(log.f64 (pow.f64 (exp.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)))
(log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))
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 (+.f64 1 (*.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 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 279195317918525/3350343815022304))
(*.f64 279195317918525/3350343815022304 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 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3) 1/3)
(*.f64 279195317918525/3350343815022304 y)
(pow.f64 (/.f64 3350343815022304/279195317918525 y) -1)
(*.f64 279195317918525/3350343815022304 y)
(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)))
(fabs.f64 (*.f64 279195317918525/3350343815022304 y))
(log.f64 (pow.f64 (exp.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)
(log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 279195317918525/3350343815022304 y)

localize7.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓99.9%
(/.f64 y 10000000000000000/692910599291889)
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 10000000000000000/692910599291889)
0.0ms
y
@0
(/.f64 y 10000000000000000/692910599291889)
0.0ms
y
@-inf
(/.f64 y 10000000000000000/692910599291889)
0.0ms
x
@0
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
0.0ms
y
@inf
(+.f64 x (/.f64 y 10000000000000000/692910599291889))

rewrite82.0ms (0.7%)

Algorithm
1×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
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(/.f64 y 10000000000000000/692910599291889)
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000))) 1) (2)) ((*.f64 y 692910599291889/10000000000000000) (2)) ((*.f64 (*.f64 y 692910599291889/10000000000000000) 1) (2)) ((*.f64 1 (*.f64 y 692910599291889/10000000000000000)) (2)) ((*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 692910599291889/10000000000000000)) (2)) ((*.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000))) (2)) ((*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) (2)) ((*.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000))) (2)) ((*.f64 692910599291889/10000000000000000 y) (2)) ((*.f64 (neg.f64 y) -692910599291889/10000000000000000) (2)) ((pow.f64 (*.f64 y 692910599291889/10000000000000000) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 3) (2)) ((pow.f64 (/.f64 10000000000000000/692910599291889 y) -1) (2)) ((pow.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3) (2)) ((neg.f64 (/.f64 y -10000000000000000/692910599291889)) (2)) ((sqrt.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (2)) ((log.f64 (exp.f64 (*.f64 y 692910599291889/10000000000000000))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))) (2)) ((cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (2)) ((expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000))) (2)) ((exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 1) (2)) ((-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 692910599291889/10000000000000000))) (/.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 x (*.f64 y 692910599291889/10000000000000000)))) (2)) ((*.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1) (2)) ((*.f64 1 (fma.f64 y 692910599291889/10000000000000000 x)) (2)) ((*.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (2)) ((*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (2)) ((*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 x (*.f64 y 692910599291889/10000000000000000)))) (2)) ((*.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))))) (2)) ((/.f64 1 (/.f64 (-.f64 x (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)))) (2)) ((/.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)))) (2)) ((/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 x (*.f64 y 692910599291889/10000000000000000))) (2)) ((/.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)))) (2)) ((/.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)))) (2)) ((/.f64 (-.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) (2)) ((/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))) (neg.f64 (-.f64 x (*.f64 y 692910599291889/10000000000000000)))) (2)) ((/.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))))) (2)) ((pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1) (2)) ((pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (2)) ((pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3) (2)) ((pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2)) (2)) ((log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) (2)) ((cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3)) (2)) ((expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (2)) ((exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (2)) ((exp.f64 (*.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1)) (2)) ((log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (2)) ((fma.f64 y 692910599291889/10000000000000000 x) (2)) ((fma.f64 1 (*.f64 y 692910599291889/10000000000000000) x) (2)) ((fma.f64 1 x (*.f64 y 692910599291889/10000000000000000)) (2)) ((fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 692910599291889/10000000000000000)) (2)) ((fma.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) x) (2)) ((fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y 692910599291889/10000000000000000)) (2)) ((fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) x) (2)))

simplify73.0ms (0.6%)

Algorithm
1×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
1×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)
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(/.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))))
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(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))
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(/.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)))))
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(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3)
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(pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3) 1/3)
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(sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2))
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(fma.f64 692910599291889/10000000000000000 y x)
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(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))
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(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)

localize14.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)
✓100.0%
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
✓99.9%
(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
✓99.7%
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
Compiler

Compiled 32 to 22 computations (31.3% saved)

series8.0ms (0.1%)

Counts
4 → 51
Calls

21 calls:

TimeVariablePointExpression
3.0ms
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))
0.0ms
x
@0
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))

rewrite123.0ms (1%)

Algorithm
1×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
01152
124852
2334452
Stop Event
1×node limit
Counts
4 → 220
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)))
(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)
Outputs
(((-.f64 (exp.f64 (log1p.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))) 1) (2)) ((*.f64 y (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (2)) ((*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 1) (2)) ((*.f64 1 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (2)) ((*.f64 (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))) (2)) ((*.f64 (sqrt.f64 y) (/.f64 (*.f64 (sqrt.f64 y) 1) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (2)) ((*.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)) (2)) ((*.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)))) (2)) ((*.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (*.f64 (cbrt.f64 y) 1) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (2)) ((*.f64 (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) y) (2)) ((*.f64 (neg.f64 y) (/.f64 -1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (2)) ((*.f64 (/.f64 y 1) (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (2)) ((*.f64 (/.f64 1 (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (/.f64 y (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)) (/.f64 y (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))) (2)) ((*.f64 (/.f64 y (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) -11224803678858206361900017468416/77950025547626246938538175625)) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525)) (2)) ((*.f64 (/.f64 y (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125))) (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))) (2)) ((*.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) -11224803678858206361900017468416/77950025547626246938538175625)) (*.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525))) (2)) ((*.f64 (/.f64 1 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125))) (*.f64 y (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625))))) (2)) ((*.f64 (/.f64 -1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (neg.f64 y)) (2)) ((*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (fma.f64 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z 3350343815022304/279195317918525)))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)) (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))) (2)) ((*.f64 (/.f64 (/.f64 y 1) 1) (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (cbrt.f64 y)) (2)) ((*.f64 (/.f64 y (neg.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) -11224803678858206361900017468416/77950025547626246938538175625))) (neg.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 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155900051080628738716045985239/389750127738131234692690878125 z))) (2)) ((*.f64 (/.f64 1 (/.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) (2)) ((*.f64 (/.f64 (neg.f64 y) (neg.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) -11224803678858206361900017468416/77950025547626246938538175625))) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525)) (2)) ((*.f64 (/.f64 (neg.f64 y) (neg.f64 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125)))) (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))) (2)) ((*.f64 (/.f64 (/.f64 y 1) (neg.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) -11224803678858206361900017468416/77950025547626246938538175625))) (neg.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525))) (2)) ((*.f64 (/.f64 (/.f64 y 1) (neg.f64 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125)))) (neg.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625))))) (2)) ((*.f64 (/.f64 (/.f64 y 1) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z))) (2)) ((*.f64 (/.f64 (/.f64 y (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (sqrt.f64 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625))))) (2)) ((*.f64 (/.f64 (/.f64 y (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (sqrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) -11224803678858206361900017468416/77950025547626246938538175625))) (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525))) (2)) ((*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)) (cbrt.f64 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625))))) (2)) ((*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)) (cbrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) -11224803678858206361900017468416/77950025547626246938538175625))) (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525))) (2)) ((pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 1) (2)) ((pow.f64 (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 3) (2)) ((pow.f64 (/.f64 (fma.f64 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11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625))))) (2)) ((/.f64 (/.f64 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625))))) (2)) ((pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 1) (2)) ((pow.f64 (sqrt.f64 (fma.f64 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155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (2)) ((exp.f64 (log.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (2)) ((exp.f64 (*.f64 (log.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 1)) (2)) ((log1p.f64 (expm1.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (2)) ((fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) (2)) ((fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) (2)) ((fma.f64 1 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525) (2)) ((fma.f64 (sqrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) (sqrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 3350343815022304/279195317918525) (2)) ((fma.f64 (pow.f64 (cbrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 2) (cbrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 3350343815022304/279195317918525) (2)))

simplify229.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
942×+-commutative
754×associate-/l*
676×associate-*r*
660×associate-+r+
594×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060310713
116249981
275369981
Stop Event
1×node limit
Counts
271 → 355
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))))))
(*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))
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(+.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))))
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(*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))
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(+.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))))
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(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x)
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x
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x)
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x)
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x)
x
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x)
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x
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(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
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(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x)
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x)
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
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(+.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (+.f64 (*.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (*.f64 y (pow.f64 z 3))) x))))
x
(+.f64 (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)) x)
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(+.f64 (*.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)) x)))
x
(+.f64 (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)) x)
(+.f64 (*.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)) x))
(+.f64 (*.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)) x)))
3350343815022304/279195317918525
(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))) 1)
(*.f64 y (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 1)
(*.f64 1 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(*.f64 (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(*.f64 (sqrt.f64 y) (/.f64 (*.f64 (sqrt.f64 y) 1) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(*.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))
(*.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))))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (*.f64 (cbrt.f64 y) 1) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
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(/.f64 (*.f64 (sqrt.f64 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125))) (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (sqrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) -11224803678858206361900017468416/77950025547626246938538175625)) (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125))) (pow.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)) (cbrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) -11224803678858206361900017468416/77950025547626246938538175625)) (pow.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)) (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)) 125996217628908723539813148455085995022717487031805945557549056/6076206482875584578924954842835073821268814605503344140625) (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525))) (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) 11224803678858206361900017468416/77950025547626246938538175625))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) 3) 1414282807163193834660448409062029194989921721778260046273197845336475556622027639018850615296/473640450572804041657586118293877766105652046073605499602920140357027538328720947265625) (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525))) (+.f64 (*.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)) (+.f64 125996217628908723539813148455085995022717487031805945557549056/6076206482875584578924954842835073821268814605503344140625 (*.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) 11224803678858206361900017468416/77950025547626246938538175625))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125) (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125)) 1414282807163193834660448409062029194989921721778260046273197845336475556622027639018850615296/473640450572804041657586118293877766105652046073605499602920140357027538328720947265625) (/.f64 1 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625))))) (-.f64 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125) 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125))
(/.f64 (*.f64 (+.f64 53186865049840098259938222970806115461722948879942341415769468734600039246198185845061582779217441820142670951254478135655930310659978297344/10307970770349475286782784835426429795982047368738994631913927892330579290876786594699370727032688162988171101565629047393798828125 (pow.f64 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625))))) (+.f64 (*.f64 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125) (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125)) (-.f64 1414282807163193834660448409062029194989921721778260046273197845336475556622027639018850615296/473640450572804041657586118293877766105652046073605499602920140357027538328720947265625 (*.f64 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125) 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) -11224803678858206361900017468416/77950025547626246938538175625) 1) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) -11224803678858206361900017468416/77950025547626246938538175625) (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525))) (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525)))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) -11224803678858206361900017468416/77950025547626246938538175625) (*.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525)) (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525)))) (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525)))
(/.f64 (/.f64 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125)) 1) (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625))))
(/.f64 (/.f64 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125)) (sqrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))))
(/.f64 (/.f64 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))))
(pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 1)
(pow.f64 (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)
(pow.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3)
(pow.f64 (pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 2))
(log.f64 (exp.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(cbrt.f64 (pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 3))
(expm1.f64 (log1p.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(exp.f64 (log.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(exp.f64 (*.f64 (log.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 1))
(log1p.f64 (expm1.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(fma.f64 1 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)
(fma.f64 (sqrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) (sqrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 3350343815022304/279195317918525)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 2) (cbrt.f64 (*.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 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) (*.f64 279195317918525/3350343815022304 y))
(+.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 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) (*.f64 279195317918525/3350343815022304 y)))
(+.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 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (*.f64 y (pow.f64 z 3))))))
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(/.f64 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125)) (-.f64 (fma.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 11224803678858206361900017468416/77950025547626246938538175625) (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))
(/.f64 (fma.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125) (+.f64 (fma.f64 z (*.f64 z 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) 11224803678858206361900017468416/77950025547626246938538175625) (*.f64 z -522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))
(/.f64 (/.f64 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))))
(/.f64 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125)) (-.f64 (fma.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 11224803678858206361900017468416/77950025547626246938538175625) (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))
(/.f64 (fma.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125) (+.f64 (fma.f64 z (*.f64 z 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) 11224803678858206361900017468416/77950025547626246938538175625) (*.f64 z -522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))
(pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))) 3071148497103779/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(pow.f64 (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)
(+.f64 (exp.f64 (log1p.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))) 3071148497103779/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(pow.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3)
(+.f64 (exp.f64 (log1p.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))) 3071148497103779/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(pow.f64 (pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 3) 1/3)
(+.f64 (exp.f64 (log1p.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))) 3071148497103779/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(sqrt.f64 (pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 2))
(sqrt.f64 (pow.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 2))
(fabs.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))
(log.f64 (exp.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))) 3071148497103779/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))) 3071148497103779/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(cbrt.f64 (pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 3))
(+.f64 (exp.f64 (log1p.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))) 3071148497103779/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(expm1.f64 (log1p.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))) 3071148497103779/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(exp.f64 (log.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))) 3071148497103779/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(exp.f64 (*.f64 (log.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 1))
(+.f64 (exp.f64 (log1p.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))) 3071148497103779/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(log1p.f64 (expm1.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))) 3071148497103779/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)
(+.f64 (exp.f64 (log1p.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))) 3071148497103779/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(+.f64 (exp.f64 (log1p.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))) 3071148497103779/279195317918525)
(fma.f64 1 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)
(+.f64 (exp.f64 (log1p.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))) 3071148497103779/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(fma.f64 (sqrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) (sqrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 3350343815022304/279195317918525)
(+.f64 (exp.f64 (log1p.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))) 3071148497103779/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 2) (cbrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 3350343815022304/279195317918525)
(+.f64 (exp.f64 (log1p.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125))) 3071148497103779/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)

localize15.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(*.f64 279195317918525/3350343815022304 y)
✓99.6%
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
Compiler

Compiled 37 to 19 computations (48.6% saved)

series3.0ms (0%)

Counts
2 → 0
Calls

9 calls:

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

rewrite101.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1668×add-sqr-sqrt
1640×*-un-lft-identity
1532×add-cube-cbrt
1514×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
118220
2206120
Stop Event
1×node limit
Counts
2 → 26
Calls
Call 1
Inputs
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(*.f64 279195317918525/3350343815022304 y)
Outputs
(((-.f64 (exp.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) 1) (2)) ((pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2)) (2)) ((log.f64 (pow.f64 (pow.f64 (exp.f64 z) y) -155900051080628738716045985239/56124018394291031809500087342080)) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) (2)) ((exp.f64 (log.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1) (2)) ((pow.f64 (*.f64 y 279195317918525/3350343815022304) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3) (2)) ((pow.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3) 1/3) (2)) ((sqrt.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y))) (2)) ((log.f64 (pow.f64 (exp.f64 279195317918525/3350343815022304) y)) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))) (2)) ((cbrt.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) (2)) ((exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))) (2)))

simplify60.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1044×distribute-lft-in
992×distribute-rgt-in
720×fma-def
692×associate-+r+
662×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067260
1155260
2530260
31994260
46682260
Stop Event
1×node limit
Counts
26 → 28
Calls
Call 1
Inputs
(-.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 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) y) -155900051080628738716045985239/56124018394291031809500087342080))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 3))
(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)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) 1)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 1)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 2)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 3)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(pow.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 3) 1/3)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) y) -155900051080628738716045985239/56124018394291031809500087342080))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 3))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(exp.f64 (log.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 1))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1)
(*.f64 y 279195317918525/3350343815022304)
(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(*.f64 y 279195317918525/3350343815022304)
(pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)
(*.f64 y 279195317918525/3350343815022304)
(pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3)
(*.f64 y 279195317918525/3350343815022304)
(pow.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3) 1/3)
(*.f64 y 279195317918525/3350343815022304)
(sqrt.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)))
(*.f64 y 279195317918525/3350343815022304)
(log.f64 (pow.f64 (exp.f64 279195317918525/3350343815022304) y))
(*.f64 y 279195317918525/3350343815022304)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))))
(*.f64 y 279195317918525/3350343815022304)
(cbrt.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3))
(*.f64 y 279195317918525/3350343815022304)
(expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 y 279195317918525/3350343815022304)
(exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 y 279195317918525/3350343815022304)
(exp.f64 (*.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)) 1))
(*.f64 y 279195317918525/3350343815022304)
(log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 y 279195317918525/3350343815022304)

localize40.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
99.6%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓93.4%
(/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
✓71.2%
(*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
Compiler

Compiled 91 to 64 computations (29.7% saved)

series5.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite147.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1484×associate-/r*
1134×associate-/l*
420×add-sqr-sqrt
398×pow1
398×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01889
141289
2547689
Stop Event
1×node limit
Counts
3 → 226
Calls
Call 1
Inputs
(*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
Outputs
(((+.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) -11167812716741/40000000000000) (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (*.f64 z (neg.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (2)) ((+.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (*.f64 z (neg.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) -11167812716741/40000000000000)) (2)) ((+.f64 (*.f64 -11167812716741/40000000000000 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (*.f64 (*.f64 z (neg.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))) (2)) ((+.f64 (*.f64 (*.f64 z (neg.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (*.f64 -11167812716741/40000000000000 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))) (2)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) 1) (2)) ((/.f64 y (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (2)) ((/.f64 y (/.f64 (*.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)))) (2)) ((/.f64 y (/.f64 (*.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (-.f64 -1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)))) (2)) ((/.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (/.f64 1 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (2)) ((/.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) y)) (2)) ((/.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 1) (2)) ((/.f64 1 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (2)) ((/.f64 1 (/.f64 (*.f64 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) y) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)))) (2)) ((/.f64 1 (/.f64 (*.f64 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) y) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (-.f64 -1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)))) (2)) ((/.f64 (sqrt.f64 y) (/.f64 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (sqrt.f64 y))) (2)) ((/.f64 (sqrt.f64 y) (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (*.f64 (sqrt.f64 y) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (2)) ((/.f64 (sqrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (/.f64 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) y) (sqrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (2)) ((/.f64 (cbrt.f64 y) (/.f64 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (pow.f64 (cbrt.f64 y) 2))) (2)) ((/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (cbrt.f64 y))) (2)) ((/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (*.f64 (cbrt.f64 y) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (2)) ((/.f64 (cbrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (/.f64 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) y) (pow.f64 (cbrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 2))) (2)) ((/.f64 (pow.f64 (cbrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 2) (/.f64 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) y) (cbrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (2)) ((/.f64 (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (2)) ((/.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) (*.f64 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) y) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (2)) ((/.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) (/.f64 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) y) (/.f64 1 (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (2)) ((/.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) (/.f64 (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))) (2)) ((/.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) (/.f64 (*.f64 (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) y)) (2)) ((/.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) (/.f64 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simplify198.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1502×associate-/l*
852×associate-/r*
846×associate-/l/
764×associate-*r*
754×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075618940
1217418870
Stop Event
1×node limit
Counts
286 → 400
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)))
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(/.f64 (/.f64 (neg.f64 (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 2))) (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(pow.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 3) (pow.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 3) (pow.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(exp.f64 (log.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))) 1)
(*.f64 y (/.f64 1 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 1)
(*.f64 1 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(*.f64 (sqrt.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (sqrt.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(*.f64 (cbrt.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) 2) (cbrt.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(*.f64 (/.f64 1 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) y)
(*.f64 (neg.f64 y) (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (/.f64 y (sqrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 2)) (/.f64 y (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(*.f64 (/.f64 y (-.f64 10961722342634967150292985809/976562500000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2))) (+.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(*.f64 (/.f64 y (-.f64 -1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))) (+.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) (+.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 2)) (cbrt.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(pow.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 1)
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) 2)
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) 3)
(pow.f64 (pow.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 3) 1/3)
(pow.f64 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) y) -1)
(neg.f64 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 2))
(log.f64 (exp.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))))
(cbrt.f64 (pow.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(exp.f64 (log.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) 1))
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000))
(+.f64 (*.f64 z 6012459259764103/1000000000000000) (*.f64 z z))
(+.f64 (*.f64 (*.f64 z z) 1) (*.f64 (*.f64 z 6012459259764103/1000000000000000) 1))
(+.f64 (*.f64 (*.f64 z 6012459259764103/1000000000000000) 1) (*.f64 (*.f64 z z) 1))
(-.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))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 z 6012459259764103/1000000000000000) (*.f64 z 6012459259764103/1000000000000000))) (-.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 z z) 3) (pow.f64 (*.f64 z 6012459259764103/1000000000000000) 3)) (+.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 (*.f64 (*.f64 z 6012459259764103/1000000000000000) (*.f64 z 6012459259764103/1000000000000000)) (*.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (/.f64 (*.f64 z (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)) 1) (+.f64 z -6012459259764103/1000000000000000))
(/.f64 (/.f64 (*.f64 z (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)) (sqrt.f64 (+.f64 z -6012459259764103/1000000000000000))) (sqrt.f64 (+.f64 z -6012459259764103/1000000000000000)))
(/.f64 (/.f64 (*.f64 z (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)) (*.f64 (cbrt.f64 (+.f64 z -6012459259764103/1000000000000000)) (cbrt.f64 (+.f64 z -6012459259764103/1000000000000000)))) (cbrt.f64 (+.f64 z -6012459259764103/1000000000000000)))
(/.f64 (/.f64 (*.f64 z (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) 1) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))
(/.f64 (/.f64 (*.f64 z (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) (sqrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))) (sqrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (/.f64 (*.f64 z (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) (*.f64 (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))) (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (/.f64 (*.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) z) 1) (+.f64 z -6012459259764103/1000000000000000))
(/.f64 (/.f64 (*.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) z) (sqrt.f64 (+.f64 z -6012459259764103/1000000000000000))) (sqrt.f64 (+.f64 z -6012459259764103/1000000000000000)))
(/.f64 (/.f64 (*.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) z) (*.f64 (cbrt.f64 (+.f64 z -6012459259764103/1000000000000000)) (cbrt.f64 (+.f64 z -6012459259764103/1000000000000000)))) (cbrt.f64 (+.f64 z -6012459259764103/1000000000000000)))
(/.f64 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) 1) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))
(/.f64 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (sqrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))) (sqrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (*.f64 (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))) (cbrt.f64 (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 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))))
(fma.f64 z z (*.f64 z 6012459259764103/1000000000000000))
Outputs
(/.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 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(*.f64 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
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(/.f64 (/.f64 (*.f64 z (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) (sqrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))) (sqrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (+.f64 (*.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000) (pow.f64 z 4)) (*.f64 (sqrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) (sqrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))))
(/.f64 (+.f64 (pow.f64 z 4) (*.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (*.f64 (sqrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) (sqrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))))
(/.f64 (/.f64 (*.f64 z (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) (*.f64 (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))) (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000) (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))) (/.f64 z (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))) (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 z 4) (*.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))) (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))) (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (/.f64 (*.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) z) 1) (+.f64 z -6012459259764103/1000000000000000))
(*.f64 (/.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) (+.f64 z -6012459259764103/1000000000000000)) z)
(*.f64 z (/.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) (+.f64 z -6012459259764103/1000000000000000)))
(/.f64 (/.f64 (*.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) z) (sqrt.f64 (+.f64 z -6012459259764103/1000000000000000))) (sqrt.f64 (+.f64 z -6012459259764103/1000000000000000)))
(/.f64 (*.f64 z (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)) (*.f64 (sqrt.f64 (+.f64 z -6012459259764103/1000000000000000)) (sqrt.f64 (+.f64 z -6012459259764103/1000000000000000))))
(/.f64 z (/.f64 (*.f64 (sqrt.f64 (+.f64 z -6012459259764103/1000000000000000)) (sqrt.f64 (+.f64 z -6012459259764103/1000000000000000))) (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)))
(/.f64 (/.f64 (*.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) z) (*.f64 (cbrt.f64 (+.f64 z -6012459259764103/1000000000000000)) (cbrt.f64 (+.f64 z -6012459259764103/1000000000000000)))) (cbrt.f64 (+.f64 z -6012459259764103/1000000000000000)))
(/.f64 (/.f64 z (/.f64 (*.f64 (cbrt.f64 (+.f64 z -6012459259764103/1000000000000000)) (cbrt.f64 (+.f64 z -6012459259764103/1000000000000000))) (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000))) (cbrt.f64 (+.f64 z -6012459259764103/1000000000000000)))
(/.f64 (/.f64 z (cbrt.f64 (+.f64 z -6012459259764103/1000000000000000))) (/.f64 (cbrt.f64 (+.f64 z -6012459259764103/1000000000000000)) (/.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) (cbrt.f64 (+.f64 z -6012459259764103/1000000000000000)))))
(/.f64 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) 1) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))
(/.f64 (+.f64 (*.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000) (pow.f64 z 4)) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))
(*.f64 z (/.f64 (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (sqrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))) (sqrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (+.f64 (*.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000) (pow.f64 z 4)) (*.f64 (sqrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) (sqrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))))
(/.f64 (+.f64 (pow.f64 z 4) (*.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (*.f64 (sqrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) (sqrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))))
(/.f64 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (*.f64 (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))) (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000) (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))) (/.f64 z (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))) (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 z 4) (*.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))) (cbrt.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))) (cbrt.f64 (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)
(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))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 z 6012459259764103/1000000000000000)))
(*.f64 (+.f64 z 6012459259764103/1000000000000000) (log.f64 (exp.f64 z)))
(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))
(fma.f64 z z (*.f64 z 6012459259764103/1000000000000000))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))

eval461.0ms (3.7%)

Compiler

Compiled 24220 to 17082 computations (29.5% saved)

prune491.0ms (3.9%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New9173920
Fresh1910
Picked101
Done235
Total92115936
Accurracy
100.0%
Counts
936 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.6%
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
27.0%
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
✓66.7%
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
▶80.1%
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
63.6%
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
▶78.0%
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
68.1%
(+.f64 x (/.f64 (fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 11167812716741/40000000000000 y (*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
73.6%
(+.f64 x (/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
▶73.8%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
▶74.3%
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
✓78.2%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓80.2%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
68.5%
(+.f64 x (/.f64 1 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))))
▶76.3%
(+.f64 x (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)))))
51.1%
x
Compiler

Compiled 422 to 311 computations (26.3% saved)

localize6.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.f64 279195317918525/3350343815022304 y)
Compiler

Compiled 14 to 9 computations (35.7% saved)

localize5.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓99.2%
(*.f64 692910599291889/10000000000000000 y)
Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0%)

Counts
2 → 6
Calls

9 calls:

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

rewrite72.0ms (0.6%)

Algorithm
1×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
1×node limit
Counts
2 → 50
Calls
Call 1
Inputs
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
Outputs
(((-.f64 (exp.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y))) 1) (2)) ((pow.f64 (*.f64 692910599291889/10000000000000000 y) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) (2)) ((pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) 1/3) (2)) ((sqrt.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))) (2)) ((log.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000)) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 692910599291889/10000000000000000 y)))) (2)) ((cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) (2)) ((expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y))) (2)) ((exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 y))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x))) 1) (2)) ((-.f64 (/.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) (2)) ((*.f64 (fma.f64 692910599291889/10000000000000000 y x) 1) (2)) ((*.f64 1 (fma.f64 692910599291889/10000000000000000 y x)) (2)) ((*.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x))) (2)) ((*.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))) (2)) ((*.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) (2)) ((*.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)))))) (2)) ((/.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)))) (2)) ((/.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)))) (2)) ((/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) (2)) ((/.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))))) (2)) ((/.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))))) (2)) ((/.f64 (-.f64 (*.f64 x x) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))) (-.f64 x (*.f64 692910599291889/10000000000000000 y))) (2)) ((/.f64 (neg.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) (2)) ((/.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)))))) (2)) ((pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 1) (2)) ((pow.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2) (2)) ((pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 3) (2)) ((pow.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 2)) (2)) ((log.f64 (exp.f64 (fma.f64 692910599291889/10000000000000000 y x))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x)))) (2)) ((cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3)) (2)) ((expm1.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x))) (2)) ((exp.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x))) (2)) ((exp.f64 (*.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)) 1)) (2)) ((log1p.f64 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x))) (2)) ((fma.f64 692910599291889/10000000000000000 y x) (2)) ((fma.f64 y 692910599291889/10000000000000000 x) (2)) ((fma.f64 1 (*.f64 692910599291889/10000000000000000 y) x) (2)) ((fma.f64 1 x (*.f64 692910599291889/10000000000000000 y)) (2)) ((fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 692910599291889/10000000000000000 y)) (2)) ((fma.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) x) (2)) ((fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 692910599291889/10000000000000000 y)) (2)) ((fma.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) x) (2)))

simplify61.0ms (0.5%)

Algorithm
1×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
1×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))))
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(/.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)))))
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(/.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))
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(/.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))))
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(/.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)

localize14.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
✓99.8%
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
✓99.4%
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
Compiler

Compiled 32 to 22 computations (31.3% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

12 calls:

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

rewrite127.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1466×associate-*r/
1082×associate-/r*
940×associate-*l/
912×*-commutative
714×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0939
120539
2271039
Stop Event
1×node limit
Counts
3 → 176
Calls
Call 1
Inputs
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
Outputs
(((+.f64 (*.f64 (/.f64 y (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 (/.f64 -6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 z) z))) 10000000000000000/692910599291889) (*.f64 (/.f64 y (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 (/.f64 -6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 z) z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) (2)) ((+.f64 (*.f64 (/.f64 y (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 (/.f64 -6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 z) z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) (*.f64 (/.f64 y (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 (/.f64 -6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 z) z))) 10000000000000000/692910599291889)) (2)) ((+.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 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))) (2)) ((+.f64 (*.f64 (/.f64 y (-.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 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simplify202.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
668×associate-*r*
630×distribute-lft-neg-in
598×distribute-rgt-neg-in
568×+-commutative
562×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04487458
112647214
258347176
Stop Event
1×node limit
Counts
212 → 279
Calls
Call 1
Inputs
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(pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 3)
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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)))
(/.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 (-.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 3)) (fma.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 100000000000000000000000000000000/480125098611044764748221188321))
(/.f64 (/.f64 (-.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 3)) (*.f64 (cbrt.f64 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))) (cbrt.f64 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))) (cbrt.f64 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(/.f64 (-.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/.f64 15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3))) (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))
(/.f64 (-.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 3)) (fma.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 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))))
(expm1.f64 (log.f64 (+.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 10692910599291889/692910599291889)))
(expm1.f64 (log.f64 (-.f64 10692910599291889/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(exp.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(-.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))

localize29.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
✓99.7%
(+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
✓99.1%
(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))
✓94.9%
(/.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)

series7.0ms (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
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))))
1.0ms
z
@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))))

rewrite200.0ms (1.6%)

Algorithm
1×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
01388
130680
2437380
Stop Event
1×node limit
Counts
4 → 265
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 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
Outputs
(((+.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))))) (2)) ((+.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 (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) (2)) ((+.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 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) (pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 2) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) (2)) ((+.f64 (*.f64 (/.f64 y (-.f64 (/.f64 126038177378157777536992880577915871121606103787480159157226253675678225955122762089879577600/12297610077491763478716591460487554509824512177309163162196099596778412212082614955911129 (pow.f64 z 4)) (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2))) (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2))) (*.f64 (/.f64 y (-.f64 (/.f64 126038177378157777536992880577915871121606103787480159157226253675678225955122762089879577600/12297610077491763478716591460487554509824512177309163162196099596778412212082614955911129 (pow.f64 z 4)) (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2))) (neg.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) (2)) ((+.f64 (*.f64 (/.f64 y (-.f64 (/.f64 126038177378157777536992880577915871121606103787480159157226253675678225955122762089879577600/12297610077491763478716591460487554509824512177309163162196099596778412212082614955911129 (pow.f64 z 4)) (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2))) (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2))) (*.f64 (/.f64 y (-.f64 (/.f64 126038177378157777536992880577915871121606103787480159157226253675678225955122762089879577600/12297610077491763478716591460487554509824512177309163162196099596778412212082614955911129 (pow.f64 z 4)) (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2))) (*.f64 -1 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) (2)) ((+.f64 (*.f64 (/.f64 y (-.f64 (/.f64 126038177378157777536992880577915871121606103787480159157226253675678225955122762089879577600/12297610077491763478716591460487554509824512177309163162196099596778412212082614955911129 (pow.f64 z 4)) (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2))) (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2))) (*.f64 (/.f64 y (-.f64 (/.f64 126038177378157777536992880577915871121606103787480159157226253675678225955122762089879577600/12297610077491763478716591460487554509824512177309163162196099596778412212082614955911129 (pow.f64 z 4)) (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))) (2)) ((+.f64 (*.f64 (/.f64 y (-.f64 (/.f64 126038177378157777536992880577915871121606103787480159157226253675678225955122762089879577600/12297610077491763478716591460487554509824512177309163162196099596778412212082614955911129 (pow.f64 z 4)) (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2))) (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2))) (*.f64 (/.f64 y (-.f64 (/.f64 126038177378157777536992880577915871121606103787480159157226253675678225955122762089879577600/12297610077491763478716591460487554509824512177309163162196099596778412212082614955911129 (pow.f64 z 4)) (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 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simplify337.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1062×*-commutative
1032×associate-*l*
898×associate-/r*
714×distribute-lft-in
678×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076320377
1241820071
Stop Event
1×node limit
Counts
313 → 436
Calls
Call 1
Inputs
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(exp.f64 (*.f64 (log.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(fma.f64 1 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(fma.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2)))
(fma.f64 (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2)))
(fma.f64 (/.f64 (sqrt.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123) z) (/.f64 (sqrt.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123) z) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 2) (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2)))
(fma.f64 (cbrt.f64 (/.f64 126038177378157777536992880577915871121606103787480159157226253675678225955122762089879577600/12297610077491763478716591460487554509824512177309163162196099596778412212082614955911129 (pow.f64 z 4))) (cbrt.f64 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2))) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 1)
(*.f64 -2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))
(*.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 1)
(*.f64 1 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(*.f64 (sqrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (sqrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(*.f64 (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (pow.f64 (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2) (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(*.f64 (/.f64 1 z) -2504069538682520235663395798110/160041699537014921582740396107)
(*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 (sqrt.f64 z)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 (cbrt.f64 z)))
(*.f64 (/.f64 1 (neg.f64 z)) 2504069538682520235663395798110/160041699537014921582740396107)
(pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 1)
(pow.f64 (sqrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2)
(pow.f64 (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 3)
(pow.f64 (*.f64 z -160041699537014921582740396107/2504069538682520235663395798110) -1)
(pow.f64 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3) 1/3)
(sqrt.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)))
(log.f64 (exp.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(cbrt.f64 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3))
(expm1.f64 (log1p.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(exp.f64 (log.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(exp.f64 (*.f64 (log.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 1))
(log1p.f64 (expm1.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
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 10000000000000000/692910599291889 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.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 10000000000000000/692910599291889 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.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 10000000000000000/692910599291889 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.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 10000000000000000/692910599291889 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.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 10000000000000000/692910599291889 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.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 10000000000000000/692910599291889 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.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 10000000000000000/692910599291889 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.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 10000000000000000/692910599291889 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.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 10000000000000000/692910599291889 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.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 10000000000000000/692910599291889 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.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 10000000000000000/692910599291889 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.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 10000000000000000/692910599291889 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.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 19241279543223150768091811438746488995929822366238790960709178718454374994344579265920417/12603817737815777753699288057791587112160610378748015915722625367567822595512276208987957760 (*.f64 y (pow.f64 z 3)) (*.f64 (*.f64 z z) (*.f64 y 110894589937885443621994424373863149572276123/11226672587109583001949750908131634462275825760)))
(+.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)))))
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(fma.f64 (/.f64 (sqrt.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123) z) (/.f64 (sqrt.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123) z) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123) z) 2) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (pow.f64 (/.f64 (sqrt.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123) z) 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 2) (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2)))
(fma.f64 (cbrt.f64 (/.f64 126038177378157777536992880577915871121606103787480159157226253675678225955122762089879577600/12297610077491763478716591460487554509824512177309163162196099596778412212082614955911129 (pow.f64 z 4))) (cbrt.f64 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2))) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 1)
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 -2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 1)
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 1 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 (sqrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (sqrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (pow.f64 (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2))
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2) (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 (/.f64 1 z) -2504069538682520235663395798110/160041699537014921582740396107)
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (neg.f64 z)))
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 (sqrt.f64 z)))
(/.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 (cbrt.f64 z)))
(/.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 (cbrt.f64 z)) (cbrt.f64 (*.f64 z z)))
(*.f64 (/.f64 1 (neg.f64 z)) 2504069538682520235663395798110/160041699537014921582740396107)
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 1)
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(pow.f64 (sqrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2)
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(pow.f64 (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 3)
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(pow.f64 (*.f64 z -160041699537014921582740396107/2504069538682520235663395798110) -1)
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(pow.f64 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3) 1/3)
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(sqrt.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)))
(log.f64 (exp.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(cbrt.f64 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3))
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(expm1.f64 (log1p.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(exp.f64 (log.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(exp.f64 (*.f64 (log.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 1))
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
(log1p.f64 (expm1.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)

localize38.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
99.3%
(*.f64 z 692910599291889/10000000000000000)
93.4%
(/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
✓71.2%
(*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000))))
Compiler

Compiled 99 to 71 computations (28.3% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite132.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1622×associate-/r*
442×add-sqr-sqrt
420×pow1
420×*-un-lft-identity
418×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01851
143051
2594251
Stop Event
1×node limit
Counts
1 → 120
Calls
Call 1
Inputs
(*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000))))
Outputs
(((+.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) -11167812716741/40000000000000) (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (*.f64 z (neg.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (2)) ((+.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (*.f64 z (neg.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) -11167812716741/40000000000000)) (2)) ((+.f64 (*.f64 -11167812716741/40000000000000 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (*.f64 (*.f64 z (neg.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))) (2)) ((+.f64 (*.f64 (*.f64 z (neg.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (*.f64 -11167812716741/40000000000000 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))) (2)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) 1) (2)) ((/.f64 y (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (2)) ((/.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) y)) (2)) ((/.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 1) (2)) ((/.f64 1 (/.f64 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) y) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (2)) ((/.f64 (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (2)) ((/.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) (*.f64 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) y) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (2)) ((/.f64 (-.f64 -1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) (*.f64 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) y) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))) (2)) ((/.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2))) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (2)) ((/.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3))) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (2)) ((/.f64 (*.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (neg.f64 y)) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (2)) ((/.f64 (*.f64 y (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2))) (*.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (2)) ((/.f64 (*.f64 y (-.f64 -1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3))) (*.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))) (2)) ((/.f64 (*.f64 (neg.f64 y) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (2)) ((/.f64 (*.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 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simplify655.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
944×associate-+l+
840×associate-/l/
794×associate-/l*
762×+-commutative
526×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044210124
112949554
258079554
Stop Event
1×node limit
Counts
144 → 195
Calls
Call 1
Inputs
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(/.f64 (/.f64 (/.f64 (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (pow.f64 (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (cbrt.f64 (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))) (cbrt.f64 (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(/.f64 (/.f64 (/.f64 (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (pow.f64 (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
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(/.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(/.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 -1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(/.f64 (/.f64 (*.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) y) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(/.f64 (/.f64 (*.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) 1) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) y))
(/.f64 (/.f64 (*.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) (neg.f64 y)) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(/.f64 (/.f64 (*.f64 (-.f64 -1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) y) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(/.f64 (/.f64 (*.f64 (-.f64 -1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) 1) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) y))
(/.f64 (/.f64 (*.f64 (-.f64 -1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) (neg.f64 y)) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (+.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(/.f64 (/.f64 (neg.f64 (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 1) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(/.f64 (/.f64 (neg.f64 (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (sqrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (neg.f64 (sqrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(/.f64 (/.f64 (neg.f64 (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (pow.f64 (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 2)) (neg.f64 (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(/.f64 (/.f64 (neg.f64 (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (sqrt.f64 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (sqrt.f64 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (/.f64 (neg.f64 (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (*.f64 (cbrt.f64 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (cbrt.f64 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))) (cbrt.f64 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (/.f64 (neg.f64 (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) -1) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(/.f64 (/.f64 (neg.f64 (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (neg.f64 (sqrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))) (sqrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (/.f64 (neg.f64 (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 2))) (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(pow.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 3) (pow.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 3) (pow.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(exp.f64 (log.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
Outputs
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(/.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 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
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(/.f64 (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(*.f64 y (/.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(/.f64 (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(*.f64 y (/.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))

eval639.0ms (5.1%)

Compiler

Compiled 33048 to 24032 computations (27.3% saved)

prune324.0ms (2.6%)

Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New113611137
Fresh077
Picked011
Done167
Total1137151152
Accurracy
100.0%
Counts
1152 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶32.6%
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
▶27.0%
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
✓66.7%
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
✓80.1%
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
▶63.6%
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
68.1%
(+.f64 x (/.f64 (fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 11167812716741/40000000000000 y (*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
▶73.6%
(+.f64 x (/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
✓73.8%
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
✓74.3%
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
✓78.2%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓80.2%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
68.5%
(+.f64 x (/.f64 1 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))))
✓76.3%
(+.f64 x (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)))))
▶30.0%
(*.f64 692910599291889/10000000000000000 y)
51.1%
x
Compiler

Compiled 356 to 263 computations (26.1% saved)

localize38.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y))
99.6%
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓99.2%
(*.f64 y 11167812716741/40000000000000)
✓69.6%
(/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Compiler

Compiled 98 to 62 computations (36.7% saved)

series12.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
8.0ms
y
@-inf
(/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
1.0ms
y
@inf
(/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
1.0ms
y
@0
(/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
0.0ms
z
@-inf
(*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y))
0.0ms
z
@-inf
(/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

rewrite113.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1210×associate-/r*
934×associate-/l*
430×add-sqr-sqrt
408×pow1
408×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01977
142475
2552775
Stop Event
1×node limit
Counts
3 → 65
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(*.f64 y 11167812716741/40000000000000)
(*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))) 1) (2)) ((*.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (2)) ((*.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 1) (2)) ((*.f64 1 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (2)) ((*.f64 (sqrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (sqrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))) (2)) ((*.f64 (sqrt.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (*.f64 (sqrt.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (2)) ((*.f64 (cbrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (cbrt.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 2))) (2)) ((*.f64 (cbrt.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 2)) (cbrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))) (2)) ((*.f64 (cbrt.f64 (pow.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 2)) (*.f64 (cbrt.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (2)) ((*.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (2)) ((*.f64 (neg.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (/.f64 -1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (2)) ((*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 y (/.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 y (/.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (2)) ((*.f64 (/.f64 y (/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) -10961722342634967150292985809/976562500000000000000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) -104698244219447/31250000000000)) (2)) ((*.f64 (/.f64 y (/.f64 (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3)) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (-.f64 (+.f64 10961722342634967150292985809/976562500000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2)) (*.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (2)) ((*.f64 (/.f64 (sqrt.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 1) (/.f64 (sqrt.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (2)) ((*.f64 (/.f64 (sqrt.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 (sqrt.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (2)) ((*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 2)) 1) (/.f64 (cbrt.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (2)) ((*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 2)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 (cbrt.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (2)) ((*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 2)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (cbrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))) (2)) ((pow.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 1) (2)) ((pow.f64 (sqrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) 3) (2)) ((pow.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 3) 1/3) (2)) ((pow.f64 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) -1) (2)) ((neg.f64 (/.f64 y (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (2)) ((sqrt.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 2)) (2)) ((log.f64 (exp.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))))) (2)) ((cbrt.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 3)) (2)) ((cbrt.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 3) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3))) (2)) ((expm1.f64 (log1p.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))) (2)) ((exp.f64 (log.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))) (2)))
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simplify102.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1340×associate-/l*
956×associate-+l+
908×associate-*r/
732×associate-*l/
654×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03015191
18414381
233154381
Stop Event
1×node limit
Counts
125 → 145
Calls
Call 1
Inputs
(*.f64 279195317918525/3350343815022304 y)
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(*.f64 11167812716741/40000000000000 y)
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(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 307332350656623/625000000000000 (*.f64 y z))
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(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)))
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(*.f64 (sqrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (sqrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))))
(*.f64 (sqrt.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (*.f64 (sqrt.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (cbrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (cbrt.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 2)) (cbrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 2)) (*.f64 (cbrt.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(*.f64 (neg.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (/.f64 -1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 y (/.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 y (/.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(*.f64 (/.f64 y (/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) -10961722342634967150292985809/976562500000000000000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) -104698244219447/31250000000000))
(*.f64 (/.f64 y (/.f64 (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3)) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (-.f64 (+.f64 10961722342634967150292985809/976562500000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2)) (*.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 1) (/.f64 (sqrt.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 (sqrt.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 2)) 1) (/.f64 (cbrt.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 2)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 (cbrt.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 2)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (cbrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))))
(pow.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 1)
(pow.f64 (sqrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) 2)
(pow.f64 (cbrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) 3)
(pow.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 3) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) -1)
(neg.f64 (/.f64 y (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(sqrt.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 2))
(log.f64 (exp.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))))
(cbrt.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 3) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))))
(exp.f64 (log.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 11167812716741/40000000000000))) 1)
(pow.f64 (*.f64 y 11167812716741/40000000000000) 1)
(pow.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) 3)
(pow.f64 (*.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 y 3)) 1/3)
(sqrt.f64 (*.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 y y)))
(log.f64 (pow.f64 (exp.f64 11167812716741/40000000000000) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 11167812716741/40000000000000))))
(cbrt.f64 (*.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y 11167812716741/40000000000000)))
(exp.f64 (log.f64 (*.f64 y 11167812716741/40000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 y 11167812716741/40000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 y 11167812716741/40000000000000)))
(+.f64 (*.f64 (*.f64 z y) (*.f64 z 692910599291889/10000000000000000)) (*.f64 (*.f64 z y) 307332350656623/625000000000000))
(+.f64 (*.f64 (*.f64 z y) 307332350656623/625000000000000) (*.f64 (*.f64 z y) (*.f64 z 692910599291889/10000000000000000)))
(+.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) (*.f64 z y)) (*.f64 307332350656623/625000000000000 (*.f64 z y)))
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 z y)) (*.f64 (*.f64 z 692910599291889/10000000000000000) (*.f64 z y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) 1)
(pow.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 1)
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 3)
(pow.f64 (pow.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 3))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(exp.f64 (log.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
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 279195317918525/3350343815022304 y (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.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 279195317918525/3350343815022304 y (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.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 279195317918525/3350343815022304 y (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))))
(*.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)))
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(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (log.f64 (pow.f64 (exp.f64 y) z)))
(*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z (log.f64 (exp.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))))
(*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 3))
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))))
(*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))))
(*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(exp.f64 (log.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))))
(*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) 1))
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))))
(*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 y (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))))
(*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))

localize8.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.2%
(*.f64 692910599291889/10000000000000000 y)
Compiler

Compiled 8 to 6 computations (25% saved)

localize11.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)
99.9%
(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
99.7%
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
Compiler

Compiled 22 to 16 computations (27.3% saved)

localize15.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
✓99.6%
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
99.2%
(*.f64 692910599291889/10000000000000000 y)
Compiler

Compiled 37 to 19 computations (48.6% saved)

series4.0ms (0%)

Counts
2 → 18
Calls

15 calls:

TimeVariablePointExpression
0.0ms
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
z
@inf
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))

rewrite108.0ms (0.9%)

Algorithm
1×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
01236
127336
2378536
Stop Event
1×node limit
Counts
2 → 147
Calls
Call 1
Inputs
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))) 1) (2)) ((/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) (2)) ((/.f64 y (/.f64 z 751220861604756070699018739433/10000000000000000000000000000000)) (2)) ((/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 1) (2)) ((/.f64 1 (/.f64 z (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y))) (2)) ((/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) z) (2)) ((/.f64 (neg.f64 y) (/.f64 (neg.f64 z) 751220861604756070699018739433/10000000000000000000000000000000)) (2)) ((/.f64 (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (/.f64 z (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)))) (2)) ((/.f64 (*.f64 (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y))) (/.f64 z (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)))) (2)) ((/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (sqrt.f64 y)) (/.f64 z (sqrt.f64 y))) (2)) ((/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y))) (2)) ((/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) (neg.f64 z)) (2)) ((/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) (neg.f64 z)) (2)) ((/.f64 (/.f64 y 10000000000000000000000000000000/751220861604756070699018739433) z) (2)) ((/.f64 (/.f64 y (/.f64 (sqrt.f64 z) 751220861604756070699018739433/10000000000000000000000000000000)) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 z) 2) y)) (cbrt.f64 z)) (2)) ((/.f64 (neg.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (neg.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) (2)) ((/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 1 y)) (2)) ((/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y))) (2)) ((/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 z y)) (cbrt.f64 (/.f64 z y)))) (cbrt.f64 (/.f64 z y))) (2)) ((/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 (sqrt.f64 y))) (/.f64 z (sqrt.f64 y))) (2)) ((/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (/.f64 z (cbrt.f64 y))) (2)) ((/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 (sqrt.f64 z) 1)) (/.f64 (sqrt.f64 z) y)) (2)) ((/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 (sqrt.f64 z) (sqrt.f64 y))) (/.f64 (sqrt.f64 z) (sqrt.f64 y))) (2)) ((/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) 2))) (/.f64 (sqrt.f64 z) (cbrt.f64 y))) (2)) ((/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)) (/.f64 (cbrt.f64 z) y)) (2)) ((/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 y))) (/.f64 (cbrt.f64 z) (sqrt.f64 y))) (2)) ((/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 y) 2))) (/.f64 (cbrt.f64 z) (cbrt.f64 y))) (2)) ((/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) 1) (neg.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) (2)) ((/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) (2)) ((/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) (2)) ((/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) (2)) ((/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) -1) z) (2)) ((/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) 1) (neg.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) (2)) ((/.f64 (/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) (2)) ((/.f64 (/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) (2)) ((/.f64 (/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) (2)) ((/.f64 (/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) -1) z) (2)) ((/.f64 (/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) (2)) ((/.f64 (/.f64 (/.f64 y 10000000000000000000000000000000/751220861604756070699018739433) 1) z) (2)) ((/.f64 (/.f64 (/.f64 y 10000000000000000000000000000000/751220861604756070699018739433) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) (2)) ((/.f64 (/.f64 (/.f64 y (/.f64 (sqrt.f64 z) 751220861604756070699018739433/10000000000000000000000000000000)) 1) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 (/.f64 y (/.f64 (sqrt.f64 z) 751220861604756070699018739433/10000000000000000000000000000000)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) (2)) ((/.f64 (/.f64 (/.f64 y (/.f64 (sqrt.f64 z) 751220861604756070699018739433/10000000000000000000000000000000)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) (2)) ((/.f64 (/.f64 (/.f64 y (/.f64 (sqrt.f64 z) 751220861604756070699018739433/10000000000000000000000000000000)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z))) (2)) ((/.f64 (/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 z) 2) y)) 1) (cbrt.f64 z)) (2)) ((/.f64 (/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 z) 2) y)) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z))) (2)) ((/.f64 (/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 z) 2) y)) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z))) (2)) ((/.f64 (/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 z) 2) y)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z))) (2)) ((/.f64 (/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 z) 2) y)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) 1) (neg.f64 z)) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) -1) z) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) (2)) ((/.f64 (/.f64 (neg.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) (2)) ((pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) 3) (2)) ((pow.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 751220861604756070699018739433/10000000000000000000000000000000) (/.f64 y z))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))) (2)) ((cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (2)) ((expm1.f64 (log1p.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))) (2)) ((exp.f64 (log.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))) (-.f64 1 (+.f64 (*.f64 y 692910599291889/10000000000000000) x))) (2)) ((-.f64 (exp.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))) 1) (2)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000))) (-.f64 1 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) (2)) ((-.f64 (exp.f64 (log1p.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) (-.f64 1 (*.f64 y 692910599291889/10000000000000000))) (2)) ((-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 y 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))) (2)) ((-.f64 (/.f64 (pow.f64 (/.f64 y z) 2) (/.f64 (-.f64 (*.f64 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simplify136.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1372×associate-/r/
612×+-commutative
560×associate-/l*
474×associate-+r+
456×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04396875
112246423
251296385
Stop Event
1×node limit
Counts
165 → 233
Calls
Call 1
Inputs
x
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x
x
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Outputs
x
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(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
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x
x
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(/.f64 (*.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3)) 1) (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y 692910599291889/10000000000000000)))))
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3)) (fma.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (+.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y -692910599291889/10000000000000000)) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))
(pow.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 1)
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) 2)
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) 3)
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 3) 1/3)
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 2))
(fabs.f64 (fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x))
(log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 3))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) 1))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 1 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 1 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 2) (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (cbrt.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 (cbrt.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))

localize35.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(*.f64 (+.f64 6012459259764103/1000000000000000 z) z)
✓99.3%
(*.f64 692910599291889/10000000000000000 z)
✓94.4%
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))
✓69.6%
(/.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
4 → 36
Calls

18 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
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
@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)))

rewrite121.0ms (1%)

Algorithm
1×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
018106
141886
2572586
Stop Event
1×node limit
Counts
4 → 124
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 692910599291889/10000000000000000 z)
(*.f64 (+.f64 6012459259764103/1000000000000000 z) z)
Outputs
(((-.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) (2)) ((*.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)))) (2)) ((*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (2)) ((*.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)))) (2)) ((*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (2)) ((*.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))) (2)) ((*.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) (2)) ((*.f64 1 (*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (2)) ((*.f64 (sqrt.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)))) (sqrt.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))))) (2)) ((*.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) (*.f64 (sqrt.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)))) (2)) ((*.f64 (cbrt.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)))) (pow.f64 (cbrt.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)))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.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)))) 2) (cbrt.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))))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) 2) (*.f64 (cbrt.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)))) (2)) ((*.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) (2)) ((*.f64 (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (neg.f64 y)) (/.f64 1 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (2)) ((*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 y (/.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))) (2)) ((*.f64 (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 y (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (2)) ((*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 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(((-.f64 (exp.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 z))) 1) (2)) ((pow.f64 (*.f64 692910599291889/10000000000000000 z) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 z)) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 z)) 3) (2)) ((pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)) 1/3) (2)) ((sqrt.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 z z))) (2)) ((log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) z)) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 692910599291889/10000000000000000 z)))) (2)) ((cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (2)) ((expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 z))) (2)) ((exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 z))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 692910599291889/10000000000000000 z)) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 z))) (2)))
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simplify120.0ms (1%)

Algorithm
1×egg-herbie
Rules
1458×associate-/r*
1018×associate-+l+
792×+-commutative
584×associate-+r+
550×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04296296
111625796
250165796
Stop Event
1×node limit
Counts
160 → 221
Calls
Call 1
Inputs
(*.f64 279195317918525/3350343815022304 y)
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(*.f64 692910599291889/10000000000000000 y)
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(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.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))))
(*.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 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.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)
(*.f64 1 (*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
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(*.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) (*.f64 (sqrt.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))))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 692910599291889/10000000000000000 z))))
(cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 z)))
(exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 z)))
(exp.f64 (*.f64 (log.f64 (*.f64 692910599291889/10000000000000000 z)) 1))
(log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 z)))
(+.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)))))
(-.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)))
(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 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)
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(fma.f64 -1 (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z) (*.f64 y 692910599291889/10000000000000000))
(-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 y (/.f64 z -751220861604756070699018739433/10000000000000000000000000000000)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 692910599291889/10000000000000000 y))) (+.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 -1 (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z) (fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (*.f64 y 692910599291889/10000000000000000))) (fma.f64 -6012459259764103/1000000000000000 (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) (*.f64 z z)) (*.f64 (/.f64 y (*.f64 z z)) 72546523146905574025723165383/312500000000000000000000000000)))
(-.f64 (-.f64 (fma.f64 y 692910599291889/10000000000000000 (*.f64 (/.f64 y z) (/.f64 11167812716741/40000000000000 z))) (/.f64 y (/.f64 z -751220861604756070699018739433/10000000000000000000000000000000))) (fma.f64 (/.f64 y (*.f64 z z)) 72546523146905574025723165383/312500000000000000000000000000 (/.f64 (*.f64 y 4516684825483483349725552750007781576003973599/10000000000000000000000000000000000000000000000) (*.f64 z z))))
(-.f64 (fma.f64 y 692910599291889/10000000000000000 (*.f64 (/.f64 y z) (/.f64 11167812716741/40000000000000 z))) (+.f64 (/.f64 y (/.f64 z -751220861604756070699018739433/10000000000000000000000000000000)) (fma.f64 (/.f64 y (*.f64 z z)) 72546523146905574025723165383/312500000000000000000000000000 (/.f64 (*.f64 y 4516684825483483349725552750007781576003973599/10000000000000000000000000000000000000000000000) (*.f64 z z)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (+.f64 (*.f64 104698244219447/31250000000000 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow.f64 z 3))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 (*.f64 -6012459259764103/1000000000000000 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y))) (*.f64 72546523146905574025723165383/312500000000000000000000000000 y))) (pow.f64 z 3))) (*.f64 692910599291889/10000000000000000 y))))) (+.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)))))
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(*.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 (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z (+.f64 z -6012459259764103/1000000000000000)))) z)
(/.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 (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z (+.f64 z -6012459259764103/1000000000000000)))) z)
(/.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 (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z (+.f64 z -6012459259764103/1000000000000000)))) z)
(/.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))

eval384.0ms (3.1%)

Compiler

Compiled 21389 to 14208 computations (33.6% saved)

prune189.0ms (1.5%)

Pruning

16 alts after pruning (9 fresh and 7 done)

PrunedKeptTotal
New8768884
Fresh213
Picked011
Done5611
Total88316899
Accurracy
100.0%
Counts
899 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.6%
(/.f64 (fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 11167812716741/40000000000000 y (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z)))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
32.8%
(/.f64 (+.f64 (*.f64 z (*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
✓32.6%
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
✓27.0%
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
31.1%
(/.f64 y 3350343815022304/279195317918525)
25.4%
(-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 y (/.f64 z -751220861604756070699018739433/10000000000000000000000000000000)))
26.7%
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
73.6%
(+.f64 x (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
✓74.3%
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
✓78.2%
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓80.2%
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
✓76.3%
(+.f64 x (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)))))
25.4%
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
31.0%
(*.f64 279195317918525/3350343815022304 y)
✓30.0%
(*.f64 692910599291889/10000000000000000 y)
51.1%
x
Compiler

Compiled 221 to 166 computations (24.9% saved)

regimes210.0ms (1.7%)

Counts
31 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(+.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 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 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 y (/.f64 z -751220861604756070699018739433/10000000000000000000000000000000)))
(+.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 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(/.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 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)))))
(+.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 (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(/.f64 (+.f64 (*.f64 z (*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 x (/.f64 1 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))))
(+.f64 x (/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.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 307332350656623/625000000000000 (*.f64 y z) (fma.f64 11167812716741/40000000000000 y (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z)))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 x (/.f64 (fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 11167812716741/40000000000000 y (*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))))) (+.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 10000000000000000/692910599291889))
Calls

5 calls:

66.0ms
x
44.0ms
z
38.0ms
y
26.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
25.0ms
(+.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
AccuracySegmentsBranch
87.4%5x
85.1%3y
99.8%3z
99.8%2(+.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)))
99.8%2(/.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 471 to 318 computations (32.5% saved)

bsearch39.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
54613.27170326316
51868393179837.28
18.0ms
-3.242010884780266e+25
-2.9201509288644753e+21
Results
33.0ms272×body256valid
Compiler

Compiled 540 to 397 computations (26.5% saved)

regimes203.0ms (1.6%)

Counts
30 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(+.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 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 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 y (/.f64 z -751220861604756070699018739433/10000000000000000000000000000000)))
(+.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 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(/.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 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)))))
(+.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 (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(/.f64 (+.f64 (*.f64 z (*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 x (/.f64 1 (/.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (*.f64 y (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))))
(+.f64 x (/.f64 (+.f64 (*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.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 307332350656623/625000000000000 (*.f64 y z) (fma.f64 11167812716741/40000000000000 y (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z)))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 x (/.f64 (fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 11167812716741/40000000000000 y (*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))))) (+.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 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
Calls

5 calls:

66.0ms
x
39.0ms
z
37.0ms
y
25.0ms
(+.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)))
25.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Results
AccuracySegmentsBranch
87.2%5x
85.1%3y
99.8%3z
99.6%2(+.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)))
99.6%2(/.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 454 to 307 computations (32.4% saved)

bsearch41.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
54613.27170326316
51868393179837.28
20.0ms
-7.190671208731531e+31
-3.242010884780266e+25
Results
35.0ms288×body256valid
Compiler

Compiled 678 to 509 computations (24.9% saved)

regimes143.0ms (1.1%)

Counts
20 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(+.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 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 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 y (/.f64 z -751220861604756070699018739433/10000000000000000000000000000000)))
(+.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 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(/.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 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)))))
(+.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 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 10000000000000000/692910599291889))
Calls

5 calls:

46.0ms
x
28.0ms
z
28.0ms
y
18.0ms
(+.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)))
18.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
Results
AccuracySegmentsBranch
86.9%5x
85.1%3y
99.8%3z
99.4%2(+.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)))
99.4%2(/.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 239 to 166 computations (30.5% saved)

bsearch142.0ms (1.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
20.0ms
54613.27170326316
51868393179837.28
121.0ms
-7.190671208731531e+31
-3.242010884780266e+25
Results
138.0ms160×body256valid
Compiler

Compiled 370 to 283 computations (23.5% saved)

regimes103.0ms (0.8%)

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

3 calls:

44.0ms
x
27.0ms
y
27.0ms
z
Results
AccuracySegmentsBranch
86.9%5x
85.1%3y
99.8%3z
Compiler

Compiled 172 to 116 computations (32.6% saved)

bsearch86.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
79.0ms
54613.27170326316
51868393179837.28
7.0ms
-3.242010884780266e+25
-2.9201509288644753e+21
Results
82.0ms192×body256valid
Compiler

Compiled 438 to 335 computations (23.5% saved)

regimes72.0ms (0.6%)

Counts
18 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(+.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 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 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 y (/.f64 z -751220861604756070699018739433/10000000000000000000000000000000)))
(+.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 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(/.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 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(+.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:

33.0ms
z
25.0ms
x
10.0ms
y
Results
AccuracySegmentsBranch
82.1%3x
80.2%1y
99.1%3z
Compiler

Compiled 151 to 101 computations (33.1% saved)

bsearch26.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.47952463863716266
0.8791965676727733
17.0ms
-208.25682519028112
-0.003944088475072766
Results
23.0ms192×body256valid
Compiler

Compiled 414 to 311 computations (24.9% saved)

regimes132.0ms (1.1%)

Counts
16 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(+.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 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 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(-.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 y (/.f64 z -751220861604756070699018739433/10000000000000000000000000000000)))
(+.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))
Outputs
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.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:

66.0ms
y
31.0ms
x
31.0ms
z
Results
AccuracySegmentsBranch
82.1%3x
80.2%1y
98.8%3z
Compiler

Compiled 117 to 77 computations (34.2% saved)

bsearch27.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.47952463863716266
0.8791965676727733
18.0ms
-208.25682519028112
-0.003944088475072766
Results
24.0ms192×body256valid
Compiler

Compiled 342 to 263 computations (23.1% saved)

regimes46.0ms (0.4%)

Counts
11 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(+.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 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:

19.0ms
z
18.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
82.1%3x
80.2%1y
98.5%3z
Compiler

Compiled 68 to 46 computations (32.4% saved)

bsearch28.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
0.47952463863716266
0.8791965676727733
19.0ms
-208.25682519028112
-0.003944088475072766
Results
25.0ms192×body256valid
Compiler

Compiled 294 to 227 computations (22.8% saved)

regimes43.0ms (0.3%)

Counts
10 → 3
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(+.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 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:

17.0ms
z
17.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
82.1%3x
80.2%1y
98.1%3z
Compiler

Compiled 59 to 40 computations (32.2% saved)

bsearch27.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.47952463863716266
0.8791965676727733
18.0ms
-208.25682519028112
-0.003944088475072766
Results
24.0ms192×body256valid
Compiler

Compiled 246 to 191 computations (22.4% saved)

regimes15.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
Outputs
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
Calls

3 calls:

5.0ms
y
4.0ms
x
4.0ms
z
Results
AccuracySegmentsBranch
80.2%1x
80.2%1y
80.2%1z
Compiler

Compiled 30 to 21 computations (30% saved)

regimes81.0ms (0.6%)

Counts
4 → 7
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
Outputs
x
(*.f64 692910599291889/10000000000000000 y)
x
(/.f64 y 3350343815022304/279195317918525)
x
(*.f64 692910599291889/10000000000000000 y)
x
Calls

3 calls:

34.0ms
z
25.0ms
x
21.0ms
y
Results
AccuracySegmentsBranch
67.4%7x
66.7%6y
63.5%10z
Compiler

Compiled 25 to 18 computations (28% saved)

bsearch96.0ms (0.8%)

Algorithm
6×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
6.333899851248064e+57
5.5191531259438516e+60
11.0ms
3484055414534044000.0
12662885292297904000.0
15.0ms
3.085114826221421e-16
5.529113310885612e-15
17.0ms
-8.807986167127975e-103
-6.207689937566032e-107
20.0ms
-4.955415387585908e-79
-1.0642180861867158e-84
15.0ms
-9.457349601560944e-62
-5.102976412436679e-63
Results
88.0ms704×body256valid
Compiler

Compiled 558 to 463 computations (17% saved)

regimes72.0ms (0.6%)

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

3 calls:

31.0ms
z
22.0ms
x
19.0ms
y
Results
AccuracySegmentsBranch
67.3%7x
66.7%6y
63.4%10z
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch149.0ms (1.2%)

Algorithm
6×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
63.0ms
6.333899851248064e+57
5.5191531259438516e+60
10.0ms
3484055414534044000.0
12662885292297904000.0
16.0ms
3.085114826221421e-16
5.529113310885612e-15
21.0ms
-8.807986167127975e-103
-6.207689937566032e-107
20.0ms
-4.955415387585908e-79
-1.0642180861867158e-84
17.0ms
-9.457349601560944e-62
-5.102976412436679e-63
Results
138.0ms704×body256valid
Compiler

Compiled 558 to 463 computations (17% saved)

regimes110.0ms (0.9%)

Accuracy

Total -39.4b remaining (-175.8%)

Threshold costs -39.4b (-175.8%)

Counts
2 → 7
Calls
Call 1
Inputs
x
(*.f64 692910599291889/10000000000000000 y)
Outputs
x
(*.f64 692910599291889/10000000000000000 y)
x
(*.f64 692910599291889/10000000000000000 y)
x
(*.f64 692910599291889/10000000000000000 y)
x
Calls

3 calls:

80.0ms
z
20.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
65.0%7x
64.2%3y
55.0%4z
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch156.0ms (1.2%)

Algorithm
6×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
6.333899851248064e+57
5.5191531259438516e+60
11.0ms
3484055414534044000.0
12662885292297904000.0
68.0ms
6.618413233533012e-71
9.39801467767428e-66
20.0ms
-1.2878534397229857e-192
-6.989375143703574e-196
23.0ms
-4.955415387585908e-79
-1.0642180861867158e-84
16.0ms
-9.457349601560944e-62
-5.102976412436679e-63
Results
98.0ms736×body256valid
Compiler

Compiled 582 to 483 computations (17% saved)

simplify41.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
56×+-commutative
40×*-commutative
30×if-if-or-not
16×not-or
16×if-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156919
1223919
2251919
3278919
4303919
5317919
6325919
7331919
8335919
9336919
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 z -3000000000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 50000000000000) (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 10000000000000000/692910599291889))))
(if (<=.f64 z -33000000000000001056964608) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 45000000000000) (+.f64 x (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -50000000000000002683081102196736) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 280000000000) (+.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 10000000000000000/692910599291889))))
(if (<=.f64 z -20000000000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 50000000000000) (+.f64 x (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000))))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) (if (<=.f64 z 7746191359077253/9007199254740992) (+.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 -11/2) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 7746191359077253/9007199254740992) (+.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 -11/2) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 7746191359077253/9007199254740992) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 7746191359077253/9007199254740992) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(if (<=.f64 x -853966658125207/14474011154664524427946373126085988481658748083205070504932198000989141204992) x (if (<=.f64 x -6493400589199567/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 x -8263199609878107/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) x (if (<=.f64 x 3143773488566009/10141204801825835211973625643008) (/.f64 y 3350343815022304/279195317918525) (if (<=.f64 x 6500000000000000000) x (if (<=.f64 x 8399999999999999639524097571160565592948201083192892981248) (*.f64 692910599291889/10000000000000000 y) x))))))
(if (<=.f64 x -1794777383178401/28948022309329048855892746252171976963317496166410141009864396001978282409984) x (if (<=.f64 x -3203980553881365/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 x -3305279843951243/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) x (if (<=.f64 x 3143773488566009/10141204801825835211973625643008) (*.f64 279195317918525/3350343815022304 y) (if (<=.f64 x 11500000000000000000) x (if (<=.f64 x 8500000000000000149610025186925362049119657682471384776704) (*.f64 692910599291889/10000000000000000 y) x))))))
(if (<=.f64 x -6854891682849119/926336713898529563388567880069503262826159877325124512315660672063305037119488) x (if (<=.f64 x -5072969210312161/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 x -3236216423804175/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) x (if (<=.f64 x 2144706457017205/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 x 11500000000000000000) x (if (<=.f64 x 37500000000000000332092093493338021664708515177839028338688) (*.f64 692910599291889/10000000000000000 y) x))))))
x
Outputs
(if (<=.f64 z -3000000000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 50000000000000) (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 10000000000000000/692910599291889))))
(if (or (<=.f64 z -3000000000000000000000) (not (<=.f64 z 50000000000000))) (+.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))
(if (<=.f64 z -33000000000000001056964608) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 45000000000000) (+.f64 x (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (or (<=.f64 z -33000000000000001056964608) (not (<=.f64 z 45000000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 (+.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) (*.f64 z y)) (*.f64 y 11167812716741/40000000000000)) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(if (<=.f64 z -50000000000000002683081102196736) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 280000000000) (+.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 10000000000000000/692910599291889))))
(if (or (<=.f64 z -50000000000000002683081102196736) (not (<=.f64 z 280000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(if (<=.f64 z -20000000000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 50000000000000) (+.f64 x (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000))))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (or (<=.f64 z -20000000000000000000000) (not (<=.f64 z 50000000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (-.f64 -11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)))))))
(if (or (<=.f64 z -20000000000000000000000) (not (<=.f64 z 50000000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (*.f64 (/.f64 y (+.f64 -104698244219447/31250000000000 (*.f64 z (-.f64 -6012459259764103/1000000000000000 z)))) (+.f64 -11167812716741/40000000000000 (*.f64 z (+.f64 -307332350656623/625000000000000 (*.f64 z -692910599291889/10000000000000000)))))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) (if (<=.f64 z 7746191359077253/9007199254740992) (+.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 (or (<=.f64 z -11/2) (not (<=.f64 z 7746191359077253/9007199254740992))) (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 7746191359077253/9007199254740992) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (or (<=.f64 z -11/2) (not (<=.f64 z 7746191359077253/9007199254740992))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))))
(if (or (<=.f64 z -11/2) (not (<=.f64 z 7746191359077253/9007199254740992))) (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 7746191359077253/9007199254740992) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (or (<=.f64 z -11/2) (not (<=.f64 z 7746191359077253/9007199254740992))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 7746191359077253/9007199254740992) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (or (<=.f64 z -11/2) (not (<=.f64 z 7746191359077253/9007199254740992))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 y 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(if (<=.f64 x -853966658125207/14474011154664524427946373126085988481658748083205070504932198000989141204992) x (if (<=.f64 x -6493400589199567/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 x -8263199609878107/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) x (if (<=.f64 x 3143773488566009/10141204801825835211973625643008) (/.f64 y 3350343815022304/279195317918525) (if (<=.f64 x 6500000000000000000) x (if (<=.f64 x 8399999999999999639524097571160565592948201083192892981248) (*.f64 692910599291889/10000000000000000 y) x))))))
(if (<=.f64 x -853966658125207/14474011154664524427946373126085988481658748083205070504932198000989141204992) x (if (<=.f64 x -6493400589199567/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (*.f64 y 692910599291889/10000000000000000) (if (<=.f64 x -8263199609878107/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) x (if (<=.f64 x 3143773488566009/10141204801825835211973625643008) (/.f64 y 3350343815022304/279195317918525) (if (<=.f64 x 6500000000000000000) x (if (<=.f64 x 8399999999999999639524097571160565592948201083192892981248) (*.f64 y 692910599291889/10000000000000000) x))))))
(if (<=.f64 x -1794777383178401/28948022309329048855892746252171976963317496166410141009864396001978282409984) x (if (<=.f64 x -3203980553881365/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 x -3305279843951243/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) x (if (<=.f64 x 3143773488566009/10141204801825835211973625643008) (*.f64 279195317918525/3350343815022304 y) (if (<=.f64 x 11500000000000000000) x (if (<=.f64 x 8500000000000000149610025186925362049119657682471384776704) (*.f64 692910599291889/10000000000000000 y) x))))))
(if (<=.f64 x -1794777383178401/28948022309329048855892746252171976963317496166410141009864396001978282409984) x (if (<=.f64 x -3203980553881365/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (*.f64 y 692910599291889/10000000000000000) (if (<=.f64 x -3305279843951243/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) x (if (<=.f64 x 3143773488566009/10141204801825835211973625643008) (*.f64 y 279195317918525/3350343815022304) (if (<=.f64 x 11500000000000000000) x (if (<=.f64 x 8500000000000000149610025186925362049119657682471384776704) (*.f64 y 692910599291889/10000000000000000) x))))))
(if (<=.f64 x -6854891682849119/926336713898529563388567880069503262826159877325124512315660672063305037119488) x (if (<=.f64 x -5072969210312161/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 x -3236216423804175/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) x (if (<=.f64 x 2144706457017205/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 x 11500000000000000000) x (if (<=.f64 x 37500000000000000332092093493338021664708515177839028338688) (*.f64 692910599291889/10000000000000000 y) x))))))
(if (<=.f64 x -6854891682849119/926336713898529563388567880069503262826159877325124512315660672063305037119488) x (if (<=.f64 x -5072969210312161/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (*.f64 y 692910599291889/10000000000000000) (if (<=.f64 x -3236216423804175/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) x (if (<=.f64 x 2144706457017205/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 y 692910599291889/10000000000000000) (if (<=.f64 x 11500000000000000000) x (if (<=.f64 x 37500000000000000332092093493338021664708515177839028338688) (*.f64 y 692910599291889/10000000000000000) x))))))
x
Compiler

Compiled 396 to 282 computations (28.8% saved)

soundness121.0ms (1%)

Algorithm
2×egg-herbie
Rules
1044×fma-def
1044×fma-def
212×*-commutative
212×*-commutative
114×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
Stop Event
1×saturated
1×saturated
Compiler

Compiled 301 to 211 computations (29.9% saved)

end215.0ms (1.7%)

Compiler

Compiled 360 to 246 computations (31.7% saved)

Profiling

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