Details

Time bar (total: 3.0s)

analyze865.0ms (28.5%)

Algorithm
1×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
0%99.9%0.1%7
0%99.9%0.1%8
1.6%97.5%0.9%9
18.7%79.2%2.1%10
21.8%74.7%3.5%11
26.5%68.8%4.6%12
42.8%49.8%7.4%13
45.7%45%9.3%14
Compiler

Compiled 13 to 8 computations (38.5% saved)

sample1.5s (48%)

Results
1.3s8256×body128valid
125.0ms1171×body128invalid

preprocess38.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
916×fma-def_binary64
686×div-sub_binary64
212×fma-neg_binary64
171×sub-neg_binary64
160×distribute-frac-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02052
13544
27744
317344
431444
566244
6131944
7271944
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) z)
(/.f64 (+.f64 z (*.f64 y (-.f64 x z))) x)
(/.f64 (+.f64 x (*.f64 z (-.f64 y x))) y)
Outputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (fma.f64 y (-.f64 z x) x) z)
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) z)
(/.f64 (fma.f64 x (-.f64 z y) y) z)
(/.f64 (+.f64 z (*.f64 y (-.f64 x z))) x)
(/.f64 (fma.f64 y (-.f64 x z) z) x)
(/.f64 (+.f64 x (*.f64 z (-.f64 y x))) y)
(/.f64 (fma.f64 z (-.f64 y x) x) y)
Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify33.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
477×fma-neg_binary64
388×div-sub_binary64
368×associate-/l*_binary64
319×fma-def_binary64
304×distribute-neg-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
11211
22511
35311
410111
517511
629911
758011
8163511
9470911
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Outputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (fma.f64 y (-.f64 z x) x) z)

eval1.0ms (0%)

Compiler

Compiled 20 to 9 computations (55% saved)

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
9.6b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶9.6b
(/.f64 (fma.f64 y (-.f64 z x) x) z)
Compiler

Compiled 22 to 12 computations (45.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 y (-.f64 z x) x)
✓9.0b
(/.f64 (fma.f64 y (-.f64 z x) x) z)

series10.0ms (0.3%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (fma.f64 y (-.f64 z x) x) z)
1.0ms
z
@0
(/.f64 (fma.f64 y (-.f64 z x) x) z)
1.0ms
x
@-inf
(/.f64 (fma.f64 y (-.f64 z x) x) z)
1.0ms
z
@-inf
(/.f64 (fma.f64 y (-.f64 z x) x) z)
1.0ms
y
@0
(/.f64 (fma.f64 y (-.f64 z x) x) z)

rewrite52.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
870×log1p-expm1-u_binary64
870×expm1-log1p-u_binary64
85×add-sqr-sqrt_binary64
84×*-un-lft-identity_binary64
84×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
115619
2225719
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 (fma.f64 y (-.f64 z x) x) z)
(fma.f64 y (-.f64 z x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 z x) x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 y (-.f64 z x) x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (*.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 2) (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (fma.f64 y (-.f64 z x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) 1) (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (fma.f64 y (-.f64 z x) x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (fma.f64 y (-.f64 z x) x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (fma.f64 y (-.f64 z x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 y (-.f64 z x) x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 z x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 z x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 z x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (cbrt.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (sqrt.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y (-.f64 z x)) (*.f64 y (-.f64 z x))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (-.f64 z x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (-.f64 z x)) (*.f64 y (-.f64 z x))) (*.f64 x x)) (-.f64 (*.f64 y (-.f64 z x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 z x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 z x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 z x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 z x) x)))))))

simplify58.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
730×div-sub_binary64
586×fma-neg_binary64
561×fma-def_binary64
231×times-frac_binary64
180×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045705
1110699
2229618
3468618
41007618
52349618
63890618
74949618
Stop Event
1×node limit
Counts
128 → 83
Calls
Call 1
Inputs
(/.f64 x z)
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
y
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
x
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (-.f64 y 1) x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x)))
Outputs
(/.f64 x z)
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 y (/.f64 z (-.f64 z x)))
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 y z))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 x (/.f64 y z)))
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 y (/.f64 z (-.f64 z x)))
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 y z))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 x (/.f64 y z)))
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (fma.f64 -1 (*.f64 x y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
y
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (fma.f64 -1 (*.f64 x y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(/.f64 (fma.f64 -1 (*.f64 x y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
x
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y (-.f64 z x) x)
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y (-.f64 z x) x)
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y (-.f64 z x) x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y (-.f64 z x) x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y (-.f64 z x) x)
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(fma.f64 y (-.f64 z x) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(fma.f64 y (-.f64 z x) x)
(*.f64 -1 (*.f64 (-.f64 y 1) x))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x)))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x)))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x)))
(fma.f64 y (-.f64 z x) x)

eval16.0ms (0.5%)

Compiler

Compiled 1010 to 312 computations (69.1% saved)

prune81.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New81283
Fresh000
Picked011
Done000
Total81384
Error
0.0b
Counts
84 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
1.6b
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
✓9.6b
(/.f64 (fma.f64 y (-.f64 z x) x) z)
▶0.1b
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
Compiler

Compiled 65 to 42 computations (35.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 (/.f64 x z) (-.f64 1 y) y)

series6.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
1.0ms
x
@0
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
1.0ms
x
@inf
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
1.0ms
x
@-inf
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
1.0ms
y
@0
(fma.f64 (/.f64 x z) (-.f64 1 y) y)

rewrite49.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
860×log1p-expm1-u_binary64
860×expm1-log1p-u_binary64
87×add-sqr-sqrt_binary64
85×*-un-lft-identity_binary64
85×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
116811
2222111
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x z) (-.f64 1 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 x z) (-.f64 1 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 x z) (-.f64 1 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)) 2) (cbrt.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)) (sqrt.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 1 y)) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 (/.f64 x z) (-.f64 1 y)) (*.f64 (/.f64 x z) (-.f64 1 y))) (-.f64 (*.f64 y y) (*.f64 (*.f64 (/.f64 x z) (-.f64 1 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) (-.f64 1 y)) (*.f64 (/.f64 x z) (-.f64 1 y))) (*.f64 y y)) (-.f64 (*.f64 (/.f64 x z) (-.f64 1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 x z) (-.f64 1 y) y)))))))

simplify45.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
630×fma-def_binary64
468×fma-neg_binary64
92×distribute-rgt-in_binary64
84×cancel-sign-sub-inv_binary64
78×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024502
159444
2138354
3323354
4702354
51336354
62090354
72390354
82533354
Stop Event
1×saturated
Counts
59 → 36
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
y
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
y
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(/.f64 x z)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z))))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y)) (/.f64 x z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y)) (/.f64 x z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y)) (/.f64 x z))
Outputs
y
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
(*.f64 (/.f64 (-.f64 1 y) z) x)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
(*.f64 (/.f64 (-.f64 1 y) z) x)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
(*.f64 (/.f64 (-.f64 1 y) z) x)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
y
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
y
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(/.f64 x z)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z))))
(*.f64 y (+.f64 1 (neg.f64 (/.f64 x z))))
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y))
(*.f64 y (+.f64 1 (neg.f64 (/.f64 x z))))
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y)) (/.f64 x z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y)) (/.f64 x z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y)) (/.f64 x z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)

eval24.0ms (0.8%)

Compiler

Compiled 433 to 224 computations (48.3% saved)

prune37.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New35136
Fresh101
Picked011
Done011
Total36339
Error
0b
Counts
39 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.6b
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
✓9.6b
(/.f64 (fma.f64 y (-.f64 z x) x) z)
✓0.1b
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
Compiler

Compiled 44 to 27 computations (38.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 1 y) z)
✓1.6b
(fma.f64 (/.f64 (-.f64 1 y) z) x y)

series8.0ms (0.3%)

Counts
2 → 48
Calls

15 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(/.f64 (-.f64 1 y) z)
1.0ms
y
@0
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
1.0ms
y
@inf
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
1.0ms
z
@-inf
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
1.0ms
x
@0
(fma.f64 (/.f64 (-.f64 1 y) z) x y)

rewrite49.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
897×log1p-expm1-u_binary64
897×expm1-log1p-u_binary64
88×add-sqr-sqrt_binary64
86×*-un-lft-identity_binary64
86×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
117018
2229218
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(/.f64 (-.f64 1 y) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (/.f64 x (/.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (/.f64 z (-.f64 1 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (/.f64 z (-.f64 1 y))) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (-.f64 1 y) z) x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y)) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y)) (sqrt.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 z (-.f64 1 y))) 3) (pow.f64 y 3)) (+.f64 (*.f64 (/.f64 x (/.f64 z (-.f64 1 y))) (/.f64 x (/.f64 z (-.f64 1 y)))) (-.f64 (*.f64 y y) (*.f64 (/.f64 x (/.f64 z (-.f64 1 y))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 x (/.f64 z (-.f64 1 y))) (/.f64 x (/.f64 z (-.f64 1 y)))) (*.f64 y y)) (-.f64 (/.f64 x (/.f64 z (-.f64 1 y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 z) (neg.f64 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 z) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 y) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) z)) 2) (cbrt.f64 (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (*.f64 (cbrt.f64 (-.f64 1 y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 y) z)) (sqrt.f64 (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 (sqrt.f64 (-.f64 1 y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 y)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) 1) (/.f64 (sqrt.f64 (-.f64 1 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 1 y) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 1 y)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 1 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 1 y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (-.f64 1 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 y) z)))))))

simplify47.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
638×fma-def_binary64
464×fma-neg_binary64
94×distribute-rgt-in_binary64
85×cancel-sign-sub-inv_binary64
79×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026599
166541
2150433
3337433
4729433
51346433
62108433
72409433
82552433
Stop Event
1×saturated
Counts
106 → 76
Calls
Call 1
Inputs
(/.f64 x z)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z))))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y)) (/.f64 x z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y)) (/.f64 x z))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y)) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
y
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
y
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
y
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(/.f64 1 z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
Outputs
(/.f64 x z)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z))))
(*.f64 y (+.f64 1 (neg.f64 (/.f64 x z))))
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 x (/.f64 y z)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y))
(*.f64 y (+.f64 1 (neg.f64 (/.f64 x z))))
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y)) (/.f64 x z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y)) (/.f64 x z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y)) (/.f64 x z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
y
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
y
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
y
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(fma.f64 y (+.f64 1 (neg.f64 (/.f64 x z))) (/.f64 x z))
(fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(/.f64 1 z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)

eval19.0ms (0.6%)

Compiler

Compiled 933 to 560 computations (40% saved)

prune86.0ms (2.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done022
Total76379
Error
0b
Counts
79 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓1.6b
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
✓9.6b
(/.f64 (fma.f64 y (-.f64 z x) x) z)
✓0.1b
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
Compiler

Compiled 33 to 20 computations (39.4% saved)

regimes23.0ms (0.8%)

Accuracy

Total -11.2b remaining (-19060%)

Threshold costs -11.2b (-19060%)

Counts
5 → 1
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(/.f64 (fma.f64 y (-.f64 z x) x) z)
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Outputs
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
Results
TimeErrorSegmentsBranch
4.0ms0.1b1x
4.0ms0.1b1y
8.0ms0.1b1z
4.0ms0.1b1(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 73 to 41 computations (43.8% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11211
21611
31811
41911
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
Outputs
(fma.f64 (/.f64 x z) (-.f64 1 y) y)

end15.0ms (0.5%)

Stop Event
1×done
Compiler

Compiled 22 to 14 computations (36.4% saved)

Profiling

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