Details

Time bar (total: 4.6s)

analyze1.0s (22.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
6.2%93.6%0.1%7
9.4%90.5%0.1%8
14%85.8%0.1%9
25.7%74.1%0.1%10
30%69.8%0.1%11
34.1%65.7%0.1%12
53.9%45.9%0.1%13
57.8%42.1%0.1%14
Compiler

Compiled 25 to 19 computations (24% saved)

sample1.1s (24.4%)

Results
1.1s8256×body128valid
Compiler

Compiled 50 to 38 computations (24% saved)

preprocess57.0ms (1.3%)

Algorithm
egg-herbie
Rules
2164×fma-def_binary64
374×distribute-rgt-out_binary64
341×associate-/l*_binary64
257×associate-*l*_binary64
220×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042100
1109100
223392
359992
4122492
5222192
6261192
7301892
8353092
9424592
10426892
033
Stop Event
saturated
node limit
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 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
(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)
(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)
(+.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 (*.f64 x (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(+.f64 y (*.f64 (/.f64 x (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 24 to 18 computations (25% saved)

simplify24.0ms (0.5%)

Algorithm
egg-herbie
Rules
722×fma-def_binary64
94×distribute-rgt-out_binary64
88×associate-/l*_binary64
68×associate-*l*_binary64
64×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01925
13925
27423
317523
434923
560723
687823
7101023
8125623
9167123
10173523
11173623
Stop Event
saturated
Counts
1 → 2
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 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 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)

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
15.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
19.1b
(+.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)))
15.1b
(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)
Compiler

Compiled 129 to 93 computations (27.9% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
0.1b
(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)
0.3b
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
14.6b
(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

series12.0ms (0.3%)

Counts
4 → 72
Calls

18 calls:

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

rewrite83.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
285×expm1-udef_binary64
285×log1p-udef_binary64
161×add-sqr-sqrt_binary64
159×prod-diff_binary64
152×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01556
132356
2387956
Stop Event
node limit
Counts
4 → 102
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 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(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 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 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simplify80.0ms (1.8%)

Algorithm
egg-herbie
Rules
611×cancel-sign-sub-inv_binary64
508×associate-*l*_binary64
322×fma-neg_binary64
300×fma-def_binary64
183×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0961961
12801748
27671567
322871270
Stop Event
node limit
Counts
174 → 151
Calls
Call 1
Inputs
279195317918525/3350343815022304
(-.f64 279195317918525/3350343815022304 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z))
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(-.f64 (+.f64 279195317918525/3350343815022304 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) (+.f64 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3))))
692910599291889/10000000000000000
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
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692910599291889/10000000000000000
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307332350656623/625000000000000
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(*.f64 692910599291889/10000000000000000 z)
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(*.f64 692910599291889/10000000000000000 z)
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(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))
x
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(-.f64 (+.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))
(-.f64 (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))))
(-.f64 (+.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))))
(+.f64 (*.f64 307332350656623/625000000000000 (/.f64 (*.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)))))))
(+.f64 (*.f64 307332350656623/625000000000000 (/.f64 (*.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) x)))
(+.f64 (*.f64 307332350656623/625000000000000 (/.f64 (*.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) x)))
(+.f64 (*.f64 307332350656623/625000000000000 (/.f64 (*.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) x)))
x
(+.f64 (*.f64 307332350656623/625000000000000 (/.f64 (*.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) x)))
(+.f64 (*.f64 307332350656623/625000000000000 (/.f64 (*.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) x)))
(+.f64 (*.f64 307332350656623/625000000000000 (/.f64 (*.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) x)))
x
(+.f64 (*.f64 307332350656623/625000000000000 (/.f64 (*.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) x)))
(+.f64 (*.f64 307332350656623/625000000000000 (/.f64 (*.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) x)))
(+.f64 (*.f64 307332350656623/625000000000000 (/.f64 (*.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) x)))
11167812716741/40000000000000
(+.f64 11167812716741/40000000000000 (*.f64 307332350656623/625000000000000 z))
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z)))
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z)))
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2))
(+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z))
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z)))
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z)))
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2))
(+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z))
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z)))
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z)))
Outputs
279195317918525/3350343815022304
(-.f64 279195317918525/3350343815022304 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z))
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))
(+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))
(fma.f64 z -155900051080628738716045985239/56124018394291031809500087342080 279195317918525/3350343815022304)
(-.f64 (+.f64 279195317918525/3350343815022304 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z))
(+.f64 279195317918525/3350343815022304 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z)) (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.f64 279195317918525/3350343815022304 (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z) (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
(fma.f64 z -155900051080628738716045985239/56124018394291031809500087342080 (fma.f64 z (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) 279195317918525/3350343815022304))
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(-.f64 (+.f64 279195317918525/3350343815022304 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z))) (fma.f64 155900051080628738716045985239/56124018394291031809500087342080 z (*.f64 374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3))))
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(-.f64 (*.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) (fma.f64 374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3) -279195317918525/3350343815022304))
692910599291889/10000000000000000
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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))))
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(+.f64 692910599291889/10000000000000000 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 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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307332350656623/625000000000000
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(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))
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(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))
(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 z 692910599291889/10000000000000000)
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))
(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
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(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
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(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 z 692910599291889/10000000000000000)
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))
(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))
(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))
(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
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(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 307332350656623/625000000000000 (*.f64 z (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (fma.f64 692910599291889/10000000000000000 (/.f64 z (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 z y))) x)))
(+.f64 x (fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(+.f64 (*.f64 307332350656623/625000000000000 (/.f64 (*.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) (+.f64 (*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))))) x)))
(fma.f64 307332350656623/625000000000000 (/.f64 (*.f64 z y) (+.f64 104698244219447/31250000000000 (+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)))) (fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)))) (fma.f64 692910599291889/10000000000000000 (/.f64 (*.f64 (*.f64 z z) y) (+.f64 104698244219447/31250000000000 (+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)))) x)))
(fma.f64 307332350656623/625000000000000 (*.f64 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) z) (fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) (fma.f64 692910599291889/10000000000000000 (/.f64 (*.f64 z (*.f64 z y)) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)))
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 307332350656623/625000000000000 (*.f64 z (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (fma.f64 692910599291889/10000000000000000 (/.f64 z (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 z y))) x)))
(+.f64 x (fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
11167812716741/40000000000000
(+.f64 11167812716741/40000000000000 (*.f64 307332350656623/625000000000000 z))
(+.f64 11167812716741/40000000000000 (*.f64 z 307332350656623/625000000000000))
(fma.f64 z 307332350656623/625000000000000 11167812716741/40000000000000)
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z)))
(+.f64 11167812716741/40000000000000 (fma.f64 692910599291889/10000000000000000 (*.f64 z z) (*.f64 z 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (fma.f64 z 307332350656623/625000000000000 (*.f64 z (*.f64 z 692910599291889/10000000000000000))))
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z)))
(+.f64 11167812716741/40000000000000 (fma.f64 692910599291889/10000000000000000 (*.f64 z z) (*.f64 z 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (fma.f64 z 307332350656623/625000000000000 (*.f64 z (*.f64 z 692910599291889/10000000000000000))))
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2))
(*.f64 (*.f64 z z) 692910599291889/10000000000000000)
(*.f64 z (*.f64 z 692910599291889/10000000000000000))
(+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z))
(fma.f64 692910599291889/10000000000000000 (*.f64 z z) (*.f64 z 307332350656623/625000000000000))
(fma.f64 z 307332350656623/625000000000000 (*.f64 z (*.f64 z 692910599291889/10000000000000000)))
(*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z)))
(+.f64 11167812716741/40000000000000 (fma.f64 692910599291889/10000000000000000 (*.f64 z z) (*.f64 z 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (fma.f64 z 307332350656623/625000000000000 (*.f64 z (*.f64 z 692910599291889/10000000000000000))))
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z)))
(+.f64 11167812716741/40000000000000 (fma.f64 692910599291889/10000000000000000 (*.f64 z z) (*.f64 z 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (fma.f64 z 307332350656623/625000000000000 (*.f64 z (*.f64 z 692910599291889/10000000000000000))))
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2))
(*.f64 (*.f64 z z) 692910599291889/10000000000000000)
(*.f64 z (*.f64 z 692910599291889/10000000000000000))
(+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z))
(fma.f64 692910599291889/10000000000000000 (*.f64 z z) (*.f64 z 307332350656623/625000000000000))
(fma.f64 z 307332350656623/625000000000000 (*.f64 z (*.f64 z 692910599291889/10000000000000000)))
(*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z)))
(+.f64 11167812716741/40000000000000 (fma.f64 692910599291889/10000000000000000 (*.f64 z z) (*.f64 z 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (fma.f64 z 307332350656623/625000000000000 (*.f64 z (*.f64 z 692910599291889/10000000000000000))))
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (*.f64 307332350656623/625000000000000 z)))
(+.f64 11167812716741/40000000000000 (fma.f64 692910599291889/10000000000000000 (*.f64 z z) (*.f64 z 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (fma.f64 z 307332350656623/625000000000000 (*.f64 z (*.f64 z 692910599291889/10000000000000000))))
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))

prune186.0ms (4.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1456151
Fresh011
Picked101
Done000
Total1467153
Error
0.1b
Counts
153 → 7
Alt Table
StatusErrorProgram
15.1b
(+.f64 x (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y))
15.4b
(fma.f64 y (pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3) x)
13.4b
(fma.f64 y 692910599291889/10000000000000000 x)
40.7b
(pow.f64 (sqrt.f64 (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)) 2)
40.2b
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) x))
19.1b
(+.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)))
15.2b
(fma.f64 y (/.f64 (fma.f64 z (pow.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
Compiler

Compiled 3586 to 2508 computations (30.1% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(fma.f64 y 692910599291889/10000000000000000 x)

series12.0ms (0.3%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@inf
(fma.f64 y 692910599291889/10000000000000000 x)
0.0ms
x
@0
(fma.f64 y 692910599291889/10000000000000000 x)
0.0ms
y
@0
(fma.f64 y 692910599291889/10000000000000000 x)
0.0ms
y
@-inf
(fma.f64 y 692910599291889/10000000000000000 x)
0.0ms
y
@inf
(fma.f64 y 692910599291889/10000000000000000 x)

rewrite36.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
450×pow1_binary64
416×add-log-exp_binary64
416×log1p-expm1-u_binary64
416×expm1-log1p-u_binary64
408×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
11005
211065
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 y 692910599291889/10000000000000000 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 692910599291889/10000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y 692910599291889/10000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 692910599291889/10000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (*.f64 x x)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))))

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06105
19105
210105
Stop Event
saturated
Counts
45 → 25
Calls
Call 1
Inputs
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 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)
Outputs
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(*.f64 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)

prune35.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New20525
Fresh156
Picked011
Done000
Total211132
Error
0.1b
Counts
32 → 11
Alt Table
StatusErrorProgram
40.7b
(pow.f64 (sqrt.f64 (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)) 2)
41.3b
(exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
45.9b
(cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3))
40.2b
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)) (*.f64 x x)) (-.f64 (*.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))
33.0b
(expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
13.4b
(fma.f64 y 692910599291889/10000000000000000 x)
19.1b
(+.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)))
15.4b
(fma.f64 y (pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3) x)
46.2b
(/.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 692910599291889/10000000000000000) x))))
14.3b
(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))
15.2b
(fma.f64 y (/.f64 (fma.f64 z (pow.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
Compiler

Compiled 661 to 474 computations (28.3% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(fma.f64 y 692910599291889/10000000000000000 x)
0.3b
(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))
0.5b
(cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))
0.5b
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)

series15.0ms (0.3%)

Counts
3 → 40
Calls

18 calls:

TimeVariablePointExpression
3.0ms
x
@0
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)
3.0ms
y
@0
(cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))
2.0ms
y
@0
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)
1.0ms
y
@inf
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)

rewrite45.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
652×pow1_binary64
606×add-log-exp_binary64
606×log1p-expm1-u_binary64
606×expm1-log1p-u_binary64
77×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
118322
2172322
Stop Event
node limit
Counts
3 → 56
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)
(cbrt.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))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6) (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 692910599291889/10000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (*.f64 x x)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 692910599291889/10000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))))

simplify35.0ms (0.8%)

Algorithm
egg-herbie
Rules
631×associate-*r*_binary64
592×associate-*l*_binary64
400×fma-def_binary64
253×*-commutative_binary64
195×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0110939
1331929
21050908
Stop Event
node limit
Counts
96 → 92
Calls
Call 1
Inputs
(pow.f64 (pow.f64 x 2) 1/3)
(+.f64 (*.f64 230970199763963/5000000000000000 (*.f64 y (pow.f64 x 1/9))) (pow.f64 (pow.f64 x 2) 1/3))
(-.f64 (+.f64 (*.f64 230970199763963/5000000000000000 (*.f64 y (pow.f64 x 1/9))) (pow.f64 (pow.f64 x 2) 1/3)) (*.f64 53347233179004973860913465369/100000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))))
(-.f64 (+.f64 (*.f64 230970199763963/5000000000000000 (*.f64 y (pow.f64 x 1/9))) (+.f64 (*.f64 12321621104209493735777158263762572174697347/750000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) x)) (pow.f64 (pow.f64 x 2) 1/3))) (*.f64 53347233179004973860913465369/100000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))))
(*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3))
(+.f64 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 1/3) (*.f64 (pow.f64 y 1/9) x))))
(-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 1/3) (*.f64 (pow.f64 y 1/9) x)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3)) (+.f64 (*.f64 40000000000000000/56125758542643009 (/.f64 (pow.f64 x 3) y)) (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 1/3) (*.f64 (pow.f64 y 1/9) x))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9) (pow.f64 x 2)))))
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (*.f64 230970199763963/10000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))))
(-.f64 (+.f64 (pow.f64 x 1/3) (*.f64 230970199763963/10000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))) (*.f64 53347233179004973860913465369/100000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))))
(-.f64 (+.f64 (*.f64 12321621104209493735777158263762572174697347/600000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3))) (+.f64 (pow.f64 x 1/3) (*.f64 230970199763963/10000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))))) (*.f64 53347233179004973860913465369/100000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))))
(*.f64 (cbrt.f64 692910599291889/10000000000000000) (pow.f64 y 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x))) (*.f64 (cbrt.f64 692910599291889/10000000000000000) (pow.f64 y 1/3)))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x))) (*.f64 (cbrt.f64 692910599291889/10000000000000000) (pow.f64 y 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 7)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x))) (+.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (pow.f64 y 1/3)) (*.f64 5/81 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/3))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 7)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 x 2)))))
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 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)
Outputs
(pow.f64 (pow.f64 x 2) 1/3)
(cbrt.f64 (*.f64 x x))
(+.f64 (*.f64 230970199763963/5000000000000000 (*.f64 y (pow.f64 x 1/9))) (pow.f64 (pow.f64 x 2) 1/3))
(fma.f64 230970199763963/5000000000000000 (*.f64 y (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))) (cbrt.f64 (*.f64 x x)))
(fma.f64 230970199763963/5000000000000000 (*.f64 (*.f64 y (pow.f64 x 1/18)) (pow.f64 x 1/18)) (cbrt.f64 (*.f64 x x)))
(fma.f64 230970199763963/5000000000000000 (*.f64 (pow.f64 x 1/18) (*.f64 y (pow.f64 x 1/18))) (cbrt.f64 (*.f64 x x)))
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(fma.f64 (*.f64 (*.f64 x x) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 7))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)))) -1/9 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2))) (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (*.f64 x (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)))) (fma.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 y 4))) (*.f64 50000000000000000/56125758542643009 (/.f64 (pow.f64 x 3) (cbrt.f64 692910599291889/10000000000000000)))))))
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)

prune140.0ms (3.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1754179
Fresh189
Picked011
Done011
Total17614190
Error
0.0b
Counts
190 → 14
Alt Table
StatusErrorProgram
14.9b
(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) 2))
13.4b
(fma.f64 y 692910599291889/10000000000000000 x)
40.7b
(pow.f64 (sqrt.f64 (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)) 2)
41.3b
(exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
40.2b
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)) (*.f64 x x)) (-.f64 (*.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))
33.0b
(expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
37.5b
(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2)))
19.1b
(+.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)))
15.4b
(fma.f64 y (pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3) x)
46.2b
(/.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 692910599291889/10000000000000000) x))))
14.3b
(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))
43.5b
(*.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))
43.0b
(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y)) 2))
15.2b
(fma.f64 y (/.f64 (fma.f64 z (pow.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
Compiler

Compiled 4490 to 3362 computations (25.1% saved)

localize26.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2)
0.5b
(cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))
0.5b
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) 2)
0.6b
(cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))

series29.0ms (0.6%)

Counts
3 → 56
Calls

18 calls:

TimeVariablePointExpression
9.0ms
y
@inf
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2)
3.0ms
x
@-inf
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2)
2.0ms
x
@0
(cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
2.0ms
y
@0
(cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
2.0ms
y
@inf
(cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))

rewrite50.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
771×pow1_binary64
718×log1p-expm1-u_binary64
718×expm1-log1p-u_binary64
95×add-sqr-sqrt_binary64
90×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
122831
2215431
Stop Event
node limit
Counts
3 → 63
Calls
Call 1
Inputs
(cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2)
Outputs
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simplify84.0ms (1.8%)

Algorithm
egg-herbie
Rules
777×associate-/l*_binary64
330×cancel-sign-sub-inv_binary64
260×unswap-sqr_binary64
229×associate-/r/_binary64
212×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02663363
17813251
227173037
Stop Event
node limit
Counts
119 → 159
Calls
Call 1
Inputs
(pow.f64 x 1/9)
(+.f64 (pow.f64 x 1/9) (*.f64 230970199763963/30000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9))))
(-.f64 (+.f64 (pow.f64 x 1/9) (*.f64 230970199763963/30000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)))) (*.f64 53347233179004973860913465369/225000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))
(-.f64 (+.f64 (pow.f64 x 1/9) (+.f64 (*.f64 230970199763963/30000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9))) (*.f64 209467558771561393508211690483963726969854899/20250000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9))))) (*.f64 53347233179004973860913465369/225000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y)))))
(+.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) (*.f64 10000000000000000/6236195393627001 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) x) y)))
(-.f64 (+.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) (*.f64 10000000000000000/6236195393627001 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) x) y))) (*.f64 400000000000000000000000000000000/38890132987494625944605916254001 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) (pow.f64 x 2)) (pow.f64 y 2))))
(-.f64 (+.f64 (*.f64 68000000000000000000000000000000000000000000000000/727579404582466395603905418316916124343703643003 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) (*.f64 10000000000000000/6236195393627001 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) x) y)))) (*.f64 400000000000000000000000000000000/38890132987494625944605916254001 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) (pow.f64 x 2)) (pow.f64 y 2))))
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y)))))
(+.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) (*.f64 10000000000000000/6236195393627001 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) x) y)))
(-.f64 (+.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) (*.f64 10000000000000000/6236195393627001 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) x) y))) (*.f64 400000000000000000000000000000000/38890132987494625944605916254001 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) (pow.f64 x 2)) (pow.f64 y 2))))
(-.f64 (+.f64 (*.f64 68000000000000000000000000000000000000000000000000/727579404582466395603905418316916124343703643003 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) (*.f64 10000000000000000/6236195393627001 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) x) y)))) (*.f64 400000000000000000000000000000000/38890132987494625944605916254001 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) (pow.f64 x 2)) (pow.f64 y 2))))
(pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/9)
(+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/9) (*.f64 10000000000000000/6236195393627001 (*.f64 (pow.f64 (/.f64 692910599291889/10000000000000000 (pow.f64 y 8)) 1/9) x)))
(-.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/9) (*.f64 10000000000000000/6236195393627001 (*.f64 (pow.f64 (/.f64 692910599291889/10000000000000000 (pow.f64 y 8)) 1/9) x))) (*.f64 400000000000000000000000000000000/38890132987494625944605916254001 (*.f64 (pow.f64 (/.f64 692910599291889/10000000000000000 (pow.f64 y 17)) 1/9) (pow.f64 x 2))))
(-.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/9) (+.f64 (*.f64 10000000000000000/6236195393627001 (*.f64 (pow.f64 (/.f64 692910599291889/10000000000000000 (pow.f64 y 8)) 1/9) x)) (*.f64 68000000000000000000000000000000000000000000000000/727579404582466395603905418316916124343703643003 (*.f64 (pow.f64 (/.f64 692910599291889/10000000000000000 (pow.f64 y 26)) 1/9) (pow.f64 x 3))))) (*.f64 400000000000000000000000000000000/38890132987494625944605916254001 (*.f64 (pow.f64 (/.f64 692910599291889/10000000000000000 (pow.f64 y 17)) 1/9) (pow.f64 x 2))))
(pow.f64 x 1/9)
(+.f64 (pow.f64 x 1/9) (*.f64 230970199763963/30000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9))))
(-.f64 (+.f64 (pow.f64 x 1/9) (*.f64 230970199763963/30000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)))) (*.f64 53347233179004973860913465369/225000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))
(-.f64 (+.f64 (pow.f64 x 1/9) (+.f64 (*.f64 230970199763963/30000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9))) (*.f64 209467558771561393508211690483963726969854899/20250000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9))))) (*.f64 53347233179004973860913465369/225000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 (*.f64 230970199763963/30000000000000000 (/.f64 (*.f64 y (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) x)) (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 (*.f64 230970199763963/30000000000000000 (/.f64 (*.f64 y (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) x)) (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (*.f64 53347233179004973860913465369/225000000000000000000000000000000 (/.f64 (*.f64 (pow.f64 y 2) (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 230970199763963/30000000000000000 (/.f64 (*.f64 y (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) x)) (+.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 209467558771561393508211690483963726969854899/20250000000000000000000000000000000000000000000000 (/.f64 (*.f64 (pow.f64 y 3) (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))))) (*.f64 53347233179004973860913465369/225000000000000000000000000000000 (/.f64 (*.f64 (pow.f64 y 2) (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))))
(pow.f64 (pow.f64 x 2) 1/3)
(+.f64 (*.f64 230970199763963/5000000000000000 (*.f64 y (pow.f64 x 1/9))) (pow.f64 (pow.f64 x 2) 1/3))
(-.f64 (+.f64 (*.f64 230970199763963/5000000000000000 (*.f64 y (pow.f64 x 1/9))) (pow.f64 (pow.f64 x 2) 1/3)) (*.f64 53347233179004973860913465369/100000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))))
(-.f64 (+.f64 (*.f64 230970199763963/5000000000000000 (*.f64 y (pow.f64 x 1/9))) (+.f64 (*.f64 12321621104209493735777158263762572174697347/750000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) x)) (pow.f64 (pow.f64 x 2) 1/3))) (*.f64 53347233179004973860913465369/100000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))))
(*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3))
(+.f64 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 1/3) (*.f64 (pow.f64 y 1/9) x))))
(-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 1/3) (*.f64 (pow.f64 y 1/9) x)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3)) (+.f64 (*.f64 40000000000000000/56125758542643009 (/.f64 (pow.f64 x 3) y)) (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 1/3) (*.f64 (pow.f64 y 1/9) x))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9) (pow.f64 x 2)))))
(pow.f64 (pow.f64 x 2) 1/9)
(+.f64 (pow.f64 (pow.f64 x 2) 1/9) (*.f64 230970199763963/15000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))))
(-.f64 (+.f64 (pow.f64 (pow.f64 x 2) 1/9) (*.f64 230970199763963/15000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)))) (*.f64 373430632253034817026394257583/900000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9))))
(-.f64 (+.f64 (*.f64 86251347729466456150440107846338005222881429/5062500000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/9))) (+.f64 (pow.f64 (pow.f64 x 2) 1/9) (*.f64 230970199763963/15000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))))) (*.f64 373430632253034817026394257583/900000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9))))
(pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2) (*.f64 20000000000000000/6236195393627001 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2) x) y)))
(-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2) (*.f64 20000000000000000/6236195393627001 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2) x) y))) (*.f64 700000000000000000000000000000000/38890132987494625944605916254001 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2) (pow.f64 x 2)) (pow.f64 y 2))))
(-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2) (+.f64 (*.f64 20000000000000000/6236195393627001 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2) x) y)) (*.f64 112000000000000000000000000000000000000000000000000/727579404582466395603905418316916124343703643003 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2) (pow.f64 x 3)) (pow.f64 y 3))))) (*.f64 700000000000000000000000000000000/38890132987494625944605916254001 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2) (pow.f64 x 2)) (pow.f64 y 2))))
(pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2)
(+.f64 (*.f64 20000000000000000/6236195393627001 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2) x) y)) (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2))
(-.f64 (+.f64 (*.f64 20000000000000000/6236195393627001 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2) x) y)) (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2)) (*.f64 700000000000000000000000000000000/38890132987494625944605916254001 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2) (pow.f64 x 2)) (pow.f64 y 2))))
(-.f64 (+.f64 (*.f64 112000000000000000000000000000000000000000000000000/727579404582466395603905418316916124343703643003 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (*.f64 20000000000000000/6236195393627001 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2) x) y)) (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2))) (*.f64 700000000000000000000000000000000/38890132987494625944605916254001 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2) (pow.f64 x 2)) (pow.f64 y 2))))
(pow.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) 1/9)
(+.f64 (*.f64 20000000000000000/6236195393627001 (*.f64 (pow.f64 (/.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 7)) 1/9) x)) (pow.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) 1/9))
(-.f64 (+.f64 (*.f64 20000000000000000/6236195393627001 (*.f64 (pow.f64 (/.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 7)) 1/9) x)) (pow.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) 1/9)) (*.f64 700000000000000000000000000000000/38890132987494625944605916254001 (*.f64 (pow.f64 (/.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 16)) 1/9) (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 112000000000000000000000000000000000000000000000000/727579404582466395603905418316916124343703643003 (*.f64 (pow.f64 (/.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 25)) 1/9) (pow.f64 x 3))) (+.f64 (*.f64 20000000000000000/6236195393627001 (*.f64 (pow.f64 (/.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 7)) 1/9) x)) (pow.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) 1/9))) (*.f64 700000000000000000000000000000000/38890132987494625944605916254001 (*.f64 (pow.f64 (/.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 16)) 1/9) (pow.f64 x 2))))
(pow.f64 (pow.f64 x 2) 1/9)
(+.f64 (pow.f64 (pow.f64 x 2) 1/9) (*.f64 230970199763963/15000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))))
(-.f64 (+.f64 (pow.f64 (pow.f64 x 2) 1/9) (*.f64 230970199763963/15000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)))) (*.f64 373430632253034817026394257583/900000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9))))
(-.f64 (+.f64 (*.f64 86251347729466456150440107846338005222881429/5062500000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/9))) (+.f64 (pow.f64 (pow.f64 x 2) 1/9) (*.f64 230970199763963/15000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))))) (*.f64 373430632253034817026394257583/900000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9))))
(pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2) (*.f64 230970199763963/15000000000000000 (/.f64 (*.f64 y (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) x)))
(-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2) (*.f64 230970199763963/15000000000000000 (/.f64 (*.f64 y (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) x))) (*.f64 373430632253034817026394257583/900000000000000000000000000000000 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) (pow.f64 x 2))))
(-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2) (+.f64 (*.f64 230970199763963/15000000000000000 (/.f64 (*.f64 y (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) x)) (*.f64 86251347729466456150440107846338005222881429/5062500000000000000000000000000000000000000000000 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) (pow.f64 x 3))))) (*.f64 373430632253034817026394257583/900000000000000000000000000000000 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) (pow.f64 x 2))))
Outputs
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(+.f64 (pow.f64 x 1/9) (*.f64 230970199763963/30000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9))))
(+.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (*.f64 (*.f64 230970199763963/30000000000000000 y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18))))
(fma.f64 230970199763963/30000000000000000 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18))) (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))
(-.f64 (+.f64 (pow.f64 x 1/9) (*.f64 230970199763963/30000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)))) (*.f64 53347233179004973860913465369/225000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))
(+.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (-.f64 (*.f64 (*.f64 230970199763963/30000000000000000 y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18))) (*.f64 (*.f64 53347233179004973860913465369/225000000000000000000000000000000 (*.f64 y y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)))))
(fma.f64 (pow.f64 x 1/18) (pow.f64 x 1/18) (fma.f64 230970199763963/30000000000000000 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18))) (*.f64 (*.f64 -53347233179004973860913465369/225000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18))) (*.f64 y y))))
(fma.f64 (pow.f64 x 1/18) (pow.f64 x 1/18) (fma.f64 230970199763963/30000000000000000 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (*.f64 (*.f64 y y) -53347233179004973860913465369/225000000000000000000000000000000))))
(-.f64 (+.f64 (pow.f64 x 1/9) (+.f64 (*.f64 230970199763963/30000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9))) (*.f64 209467558771561393508211690483963726969854899/20250000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9))))) (*.f64 53347233179004973860913465369/225000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))
(+.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (-.f64 (fma.f64 230970199763963/30000000000000000 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18))) (*.f64 (*.f64 209467558771561393508211690483963726969854899/20250000000000000000000000000000000000000000000000 (pow.f64 y 3)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)))) (*.f64 (*.f64 53347233179004973860913465369/225000000000000000000000000000000 (*.f64 y y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)))))
(+.f64 (fma.f64 (pow.f64 x 1/18) (pow.f64 x 1/18) (fma.f64 230970199763963/30000000000000000 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18))) (*.f64 209467558771561393508211690483963726969854899/20250000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)))))) (*.f64 (*.f64 -53347233179004973860913465369/225000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18))) (*.f64 y y)))
(fma.f64 (pow.f64 x 1/18) (pow.f64 x 1/18) (+.f64 (*.f64 y (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) 230970199763963/30000000000000000)) (fma.f64 209467558771561393508211690483963726969854899/20250000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (pow.f64 y 3))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (*.f64 (*.f64 y y) -53347233179004973860913465369/225000000000000000000000000000000)))))
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y)))))
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 692910599291889/10000000000000000) (neg.f64 (log.f64 y))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 692910599291889/10000000000000000) (log.f64 y)))
(+.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) (*.f64 10000000000000000/6236195393627001 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) x) y)))
(+.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 692910599291889/10000000000000000) (neg.f64 (log.f64 y)))) (*.f64 10000000000000000/6236195393627001 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 692910599291889/10000000000000000) (neg.f64 (log.f64 y)))) (/.f64 y x))))
(fma.f64 10000000000000000/6236195393627001 (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 692910599291889/10000000000000000) (log.f64 y))) y) x) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 692910599291889/10000000000000000) (log.f64 y))))
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prune356.0ms (7.8%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New3331334
Fresh01111
Picked011
Done022
Total33315348
Error
0.0b
Counts
348 → 15
Alt Table
StatusErrorProgram
14.9b
(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) 2))
13.4b
(fma.f64 y 692910599291889/10000000000000000 x)
40.7b
(pow.f64 (sqrt.f64 (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)) 2)
41.3b
(exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
40.2b
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)) (*.f64 x x)) (-.f64 (*.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))
33.0b
(expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
37.5b
(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2)))
19.1b
(+.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)))
25.7b
(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 4)))) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) 2))
14.3b
(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))
15.4b
(fma.f64 y (pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3) x)
46.2b
(/.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 692910599291889/10000000000000000) x))))
43.5b
(*.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))
43.0b
(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y)) 2))
15.2b
(fma.f64 y (/.f64 (fma.f64 z (pow.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
Compiler

Compiled 13466 to 10445 computations (22.4% saved)

regimes751.0ms (16.4%)

Accuracy

Total 0.1b remaining (66.7%)

Threshold costs 0.1b (66.7%)

Counts
73 → 3
Compiler

Compiled 1286 to 897 computations (30.2% saved)

bsearch51.0ms (1.1%)

Algorithm
binary-search
Calls

2 calls:

33.0ms
z
17.0ms
z
Steps
ItersPointRange
155000.0
∈ [
82045.84434633756
,
205331.28617342678
]
-6500000000.0
∈ [
-1559064262809416700.0
,
-824184.1606587803
]
Compiler

Compiled 4 to 3 computations (25% saved)

simplify11.0ms (0.2%)

Algorithm
egg-herbie
Rules
11×+-commutative_binary64
10×*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049109
168109
282109
390109
496109
599109
6100109
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 z -6500000000) (+.f64 (fma.f64 692910599291889/10000000000000000 y x) (*.f64 (/.f64 y z) (-.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z)))) (if (<=.f64 z 155000) (fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (-.f64 (+.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))))))
Outputs
(if (<=.f64 z -6500000000) (+.f64 (fma.f64 692910599291889/10000000000000000 y x) (*.f64 (/.f64 y z) (-.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z)))) (if (<=.f64 z 155000) (fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (-.f64 (+.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))))))
(if (<=.f64 z -6500000000) (+.f64 (fma.f64 692910599291889/10000000000000000 y x) (*.f64 (/.f64 y z) (-.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z)))) (if (<=.f64 z 155000) (fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (+.f64 (+.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 (/.f64 y z) 751220861604756070699018739433/10000000000000000000000000000000) (+.f64 x (*.f64 692910599291889/10000000000000000 y)))) (*.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))))))
(if (<=.f64 z -6500000000) (+.f64 (fma.f64 692910599291889/10000000000000000 y x) (*.f64 (/.f64 y z) (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z)))) (if (<=.f64 z 155000) (fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (+.f64 (+.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 (/.f64 y z) 751220861604756070699018739433/10000000000000000000000000000000) (+.f64 x (*.f64 692910599291889/10000000000000000 y)))) (*.f64 (/.f64 y (pow.f64 z 2)) -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000))))

end289.0ms (6.3%)

Stop Event
fuel
Compiler

Compiled 491 to 361 computations (26.5% saved)

Profiling

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