Details

Time bar (total: 6.3s)

analyze267.0ms (4.2%)

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
Compiler

Compiled 13 to 8 computations (38.5% saved)

sample1.4s (23%)

Results
1.2s8256×body256valid
275.0ms1726×body256invalid

preprocess78.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
916×fma-def_binary64
686×div-sub_binary64
541×sub-neg_binary64
398×unsub-neg_binary64
233×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02052
13544
27744
317744
431844
567244
6132944
7274144
8579744
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 15 to 10 computations (33.3% saved)

simplify133.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
2060×fma-neg_binary64
385×div-sub_binary64
376×associate-/l*_binary64
327×distribute-neg-frac_binary64
317×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
11211
22511
35311
410111
517511
629911
758011
8165011
9488411
10629811
11683811
12723411
13743011
14761011
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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
9.6b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶9.6b
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 12 to 7 computations (41.7% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 y (-.f64 z x))
✓9.0b
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 30 to 7 computations (76.7% saved)

series10.0ms (0.2%)

Counts
2 → 60
Calls

18 calls:

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

rewrite68.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
506×log-prod_binary64
380×fma-def_binary64
377×exp-prod_binary64
375×pow-prod-down_binary64
266×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0820
118418
2285618
Stop Event
1×node limit
Counts
2 → 80
Calls
Call 1
Inputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(*.f64 y (-.f64 z x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 y (-.f64 z x) x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))))) (#(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 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) (cbrt.f64 (pow.f64 (/.f64 z (fma.f64 y (-.f64 z x) x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 z (fma.f64 y (-.f64 z x) x)) -2)) (cbrt.f64 (/.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 (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 (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 (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 (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 (pow.f64 z -1/2) (/.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 z (fma.f64 y (-.f64 z x) x)) -2) 1/2)))) (#(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 pow.f64 (exp.f64 1) (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 z (fma.f64 y (-.f64 z x) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))) 2)) (cbrt.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))))))) (#(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 z (fma.f64 y (-.f64 z x) x)) -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 expm1.f64 (log1p.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(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 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 exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (fma.f64 y (-.f64 z x) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) y) (fma.f64 x (+.f64 x z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z (*.f64 (neg.f64 x) x)) y) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 z z (*.f64 (neg.f64 x) x))) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (-.f64 z x)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (-.f64 z x))))) (sqrt.f64 (log.f64 (*.f64 y (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (-.f64 z x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 z x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (-.f64 z x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (-.f64 z x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 (neg.f64 x) y))))))

simplify91.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
946×fma-neg_binary64
724×div-sub_binary64
504×fma-def_binary64
442×unsub-neg_binary64
356×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040678
194591
2199510
3411510
4907510
52176510
63602510
75489510
Stop Event
1×node limit
Counts
140 → 100
Calls
Call 1
Inputs
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)))
(/.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)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
Outputs
y
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(/.f64 x z)
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 y (/.f64 z (-.f64 z x)))
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 y (/.f64 (-.f64 z x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 (neg.f64 y) z) x y)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 y (/.f64 z (-.f64 z x)))
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 y (/.f64 (-.f64 z x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 (neg.f64 y) z) x y)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(*.f64 y (-.f64 z x))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(*.f64 y (-.f64 z x))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(*.f64 y (-.f64 z x))

eval18.0ms (0.3%)

Compiler

Compiled 1339 to 444 computations (66.8% saved)

prune19.0ms (0.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New919100
Fresh000
Picked101
Done000
Total929101
Error
0b
Counts
101 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.6b
(/.f64 (+.f64 x (*.f64 x (neg.f64 y))) z)
31.2b
y
▶32.3b
(/.f64 (*.f64 y (-.f64 z x)) z)
▶0.1b
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
▶40.0b
(/.f64 x z)
2.6b
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
31.3b
(*.f64 (-.f64 1 y) (/.f64 x z))
17.6b
(/.f64 (+.f64 x (*.f64 y z)) z)
▶4.9b
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
Compiler

Compiled 186 to 121 computations (34.9% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
✓0.0b
(-.f64 1 (/.f64 x z))
✓0.1b
(*.f64 (-.f64 1 (/.f64 x z)) y)
Compiler

Compiled 33 to 14 computations (57.6% saved)

series10.0ms (0.2%)

Counts
3 → 81
Calls

24 calls:

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

rewrite85.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
500×log-prod_binary64
378×exp-prod_binary64
335×pow-prod-down_binary64
320×fma-def_binary64
270×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
119731
2279531
Stop Event
1×node limit
Counts
3 → 171
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (/.f64 x z)) y)
(-.f64 1 (/.f64 x z))
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
Outputs
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(2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 z) (*.f64 (-.f64 1 (/.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x z) 1 (*.f64 (-.f64 1 (/.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (-.f64 1 (/.f64 x z)) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) 1 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x z)) y)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x z)) y)) 2) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 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((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x z))) 2)) (cbrt.f64 (-.f64 1 (/.f64 x z))) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (-.f64 1 (/.f64 x z)))) (sqrt.f64 (-.f64 1 (/.f64 x z))) (/.f64 x z))))))

simplify91.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
506×fma-neg_binary64
342×fma-def_binary64
117×distribute-rgt-in_binary64
111×cancel-sign-sub-inv_binary64
97×unsub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036806
189759
2203759
3441726
4941678
51809678
62453678
72532678
82538678
92538678
Stop Event
1×saturated
Counts
252 → 193
Calls
Call 1
Inputs
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
1
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(*.f64 -1 (/.f64 x z))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(*.f64 -1 (/.f64 x z))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(*.f64 -1 (/.f64 x z))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
1
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
1
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(+.f64 1 (*.f64 -1 (/.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 y z)) (/.f64 1 z)) x)
(+.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 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x))
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x)))
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x)))
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x)))
(/.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 y (*.f64 -1 (/.f64 (+.f64 (*.f64 y x) (*.f64 -1 x)) z)))
(+.f64 y (*.f64 -1 (/.f64 (+.f64 (*.f64 y x) (*.f64 -1 x)) z)))
(+.f64 y (*.f64 -1 (/.f64 (+.f64 (*.f64 y x) (*.f64 -1 x)) z)))
(/.f64 x z)
(*.f64 (-.f64 1 (/.f64 x z)) y)
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(*.f64 (-.f64 1 (/.f64 x z)) y)
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
Outputs
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(/.f64 (neg.f64 (*.f64 y x)) z)
(/.f64 (*.f64 y (neg.f64 x)) z)
(*.f64 (/.f64 y z) (neg.f64 x))
(/.f64 x (/.f64 z (neg.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(/.f64 (neg.f64 (*.f64 y x)) z)
(/.f64 (*.f64 y (neg.f64 x)) z)
(*.f64 (/.f64 y z) (neg.f64 x))
(/.f64 x (/.f64 z (neg.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(/.f64 (neg.f64 (*.f64 y x)) z)
(/.f64 (*.f64 y (neg.f64 x)) z)
(*.f64 (/.f64 y z) (neg.f64 x))
(/.f64 x (/.f64 z (neg.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
1
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(-.f64 1 (/.f64 x z))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(-.f64 1 (/.f64 x z))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(-.f64 1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(-.f64 1 (/.f64 x z))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(-.f64 1 (/.f64 x z))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(-.f64 1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(-.f64 1 (/.f64 x z))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(-.f64 1 (/.f64 x z))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(-.f64 1 (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(-.f64 1 (/.f64 x z))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(-.f64 1 (/.f64 x z))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(-.f64 1 (/.f64 x z))
1
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(-.f64 1 (/.f64 x z))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(-.f64 1 (/.f64 x z))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(-.f64 1 (/.f64 x z))
1
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(-.f64 1 (/.f64 x z))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(-.f64 1 (/.f64 x z))
(+.f64 1 (*.f64 -1 (/.f64 x z)))
(-.f64 1 (/.f64 x z))
y
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x)
(*.f64 x (fma.f64 -1 (/.f64 y z) (/.f64 1 z)))
(*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)))
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 x (/.f64 (-.f64 1 y) z))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x))
(*.f64 x (fma.f64 -1 (/.f64 y z) (/.f64 1 z)))
(*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)))
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 x (/.f64 (-.f64 1 y) z))
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(*.f64 x (fma.f64 -1 (/.f64 y z) (/.f64 1 z)))
(*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)))
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 x (/.f64 (-.f64 1 y) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
y
(+.f64 y (*.f64 -1 (/.f64 (+.f64 (*.f64 y x) (*.f64 -1 x)) z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 y (*.f64 -1 (/.f64 (+.f64 (*.f64 y x) (*.f64 -1 x)) z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 y (*.f64 -1 (/.f64 (+.f64 (*.f64 y x) (*.f64 -1 x)) z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(/.f64 x z)
(*.f64 (-.f64 1 (/.f64 x z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(*.f64 (-.f64 1 (/.f64 x z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (/.f64 y (/.f64 z x)))
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)

localize4.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (-.f64 z x))
✓11.7b
(/.f64 (*.f64 y (-.f64 z x)) z)
Compiler

Compiled 21 to 6 computations (71.4% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

9 calls:

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

rewrite65.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
985×pow1_binary64
918×add-log-exp_binary64
918×log1p-expm1-u_binary64
918×expm1-log1p-u_binary64
85×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115710
2238410
Stop Event
1×node limit
Counts
1 → 42
Calls
Call 1
Inputs
(/.f64 (*.f64 y (-.f64 z x)) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y z) (-.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 z (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (-.f64 z x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 z x) (*.f64 y (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (-.f64 z x)) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y z) (-.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y z) (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 2) (*.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y z) (-.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) (-.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) (-.f64 z x))) 2) (cbrt.f64 (*.f64 (/.f64 y z) (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (*.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y z) (-.f64 z x))) (sqrt.f64 (*.f64 (/.f64 y z) (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 (-.f64 z x))) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (-.f64 z x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 z x) 1) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) (-.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 1) (/.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 z x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 z x) (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (*.f64 y (-.f64 z x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 (/.f64 y z) (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (-.f64 z x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 z x) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (*.f64 y (-.f64 z x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y z) (-.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y z) (-.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) (-.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y z) (-.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 z (-.f64 z x)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y (-.f64 z x)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y z) (-.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y z) (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y z) (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y z) (-.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y z) (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y z) (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y z) (-.f64 z x))))))))

simplify47.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
367×fma-def_binary64
198×fma-neg_binary64
77×cancel-sign-sub-inv_binary64
57×distribute-rgt-in_binary64
55×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09228
118210
240210
379210
4139210
5274210
6466210
7715210
81108210
91514210
101528210
111542210
121547210
Stop Event
1×saturated
Counts
66 → 47
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
Outputs
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 y) (/.f64 z x))
(/.f64 (*.f64 y (neg.f64 x)) z)
(*.f64 (/.f64 x z) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(fma.f64 (neg.f64 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(fma.f64 (neg.f64 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(fma.f64 (neg.f64 y) (/.f64 x z) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(fma.f64 (neg.f64 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(fma.f64 (neg.f64 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(fma.f64 (neg.f64 y) (/.f64 x z) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(fma.f64 (neg.f64 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(fma.f64 (neg.f64 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(fma.f64 (neg.f64 y) (/.f64 x z) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(fma.f64 (neg.f64 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(fma.f64 (neg.f64 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(fma.f64 (neg.f64 y) (/.f64 x z) y)
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 y) (/.f64 z x))
(/.f64 (*.f64 y (neg.f64 x)) z)
(*.f64 (/.f64 x z) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(fma.f64 (neg.f64 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(fma.f64 (neg.f64 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(fma.f64 (neg.f64 y) (/.f64 x z) y)
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 y) (/.f64 z x))
(/.f64 (*.f64 y (neg.f64 x)) z)
(*.f64 (/.f64 x z) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(fma.f64 (neg.f64 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(fma.f64 (neg.f64 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 (/.f64 x z) y))
(-.f64 y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (neg.f64 y) y)
(fma.f64 (neg.f64 y) (/.f64 x z) y)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.4b
(/.f64 (+.f64 x (*.f64 x (neg.f64 y))) z)
Compiler

Compiled 26 to 7 computations (73.1% saved)

series10.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
z
@0
(/.f64 (+.f64 x (*.f64 x (neg.f64 y))) z)
2.0ms
x
@inf
(/.f64 (+.f64 x (*.f64 x (neg.f64 y))) z)
1.0ms
x
@0
(/.f64 (+.f64 x (*.f64 x (neg.f64 y))) z)
1.0ms
y
@0
(/.f64 (+.f64 x (*.f64 x (neg.f64 y))) z)
1.0ms
z
@-inf
(/.f64 (+.f64 x (*.f64 x (neg.f64 y))) z)

rewrite56.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
911×pow1_binary64
846×add-log-exp_binary64
845×log1p-expm1-u_binary64
845×expm1-log1p-u_binary64
96×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
11798
227178
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (+.f64 x (*.f64 x (neg.f64 y))) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x y x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x y x) z)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x y x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x y x) z)) 2) (cbrt.f64 (/.f64 (fma.f64 x y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (*.f64 (cbrt.f64 (fma.f64 x y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x y x) z)) (sqrt.f64 (/.f64 (fma.f64 x y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y x)) (*.f64 (sqrt.f64 (fma.f64 x y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x y x)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x y x)) 1) (/.f64 (sqrt.f64 (fma.f64 x y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (fma.f64 x y x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (fma.f64 x y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (fma.f64 x y x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (fma.f64 x y x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (fma.f64 x y x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x y x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x y x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x y x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (fma.f64 x y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x y x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x y x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x y x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x y x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x y x) z)))))))

simplify57.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
970×fma-def_binary64
275×fma-neg_binary64
127×distribute-rgt-in_binary64
116×distribute-lft-in_binary64
95×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024418
151352
2113352
3248352
4516352
51208352
62482352
72630352
82803352
Stop Event
1×saturated
Counts
68 → 41
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (+.f64 (*.f64 -1 (*.f64 y x)) x) z)
(/.f64 (+.f64 (*.f64 -1 (*.f64 y x)) x) z)
(/.f64 (+.f64 (*.f64 -1 (*.f64 y x)) x) z)
(/.f64 (+.f64 (*.f64 -1 (*.f64 y x)) x) z)
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
Outputs
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 y) (/.f64 z x))
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (/.f64 (neg.f64 x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 y) (/.f64 z x))
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (/.f64 (neg.f64 x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (+.f64 (*.f64 -1 (*.f64 y x)) x) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (+.f64 (*.f64 -1 (*.f64 y x)) x) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (+.f64 (*.f64 -1 (*.f64 y x)) x) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (+.f64 (*.f64 -1 (*.f64 y x)) x) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
✓0.0b
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
✓4.6b
(*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x)
Compiler

Compiled 52 to 28 computations (46.2% saved)

series11.0ms (0.2%)

Counts
3 → 66
Calls

24 calls:

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

rewrite90.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
594×log-prod_binary64
481×fma-def_binary64
313×pow2_binary64
276×fma-neg_binary64
216×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01240
126037
2377537
Stop Event
1×node limit
Counts
3 → 174
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
Outputs
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((#(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 y z) (/.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 y z) 2) (/.f64 (fma.f64 -1 y -1) z)) (/.f64 (pow.f64 z -2) (/.f64 (fma.f64 -1 y -1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 y z) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 y z) (/.f64 1 z))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 2)) (cbrt.f64 (+.f64 (/.f64 y z) (/.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 z -1/2) (sqrt.f64 (/.f64 y z))) (hypot.f64 (pow.f64 z -1/2) (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify85.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
830×fma-def_binary64
479×fma-neg_binary64
112×distribute-rgt-in_binary64
86×unsub-neg_binary64
81×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037801
196713
2216587
3463587
4930587
51878587
62642587
72723587
82724587
Stop Event
1×saturated
Counts
240 → 197
Calls
Call 1
Inputs
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(/.f64 1 z)
(*.f64 -1 (/.f64 y z))
(*.f64 -1 (/.f64 y z))
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(*.f64 -1 (/.f64 (-.f64 y 1) z))
(*.f64 -1 (/.f64 (-.f64 y 1) z))
(*.f64 -1 (/.f64 (-.f64 y 1) z))
(*.f64 -1 (/.f64 (-.f64 y 1) 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))
(/.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))
y
(+.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))
y
(+.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)))
y
(*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x)
(*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x)
Outputs
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(*.f64 y (/.f64 (neg.f64 x) z))
(*.f64 x (neg.f64 (/.f64 y z)))
(*.f64 (/.f64 x z) (neg.f64 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(*.f64 y (/.f64 (neg.f64 x) z))
(*.f64 x (neg.f64 (/.f64 y z)))
(*.f64 (/.f64 x z) (neg.f64 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 1 z)
(*.f64 -1 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(neg.f64 (/.f64 y z))
(*.f64 -1 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(neg.f64 (/.f64 y z))
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (+.f64 1 (neg.f64 y)) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (+.f64 1 (neg.f64 y)) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (+.f64 1 (neg.f64 y)) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (+.f64 1 (neg.f64 y)) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (+.f64 1 (neg.f64 y)) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (+.f64 1 (neg.f64 y)) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (+.f64 1 (neg.f64 y)) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (+.f64 1 (neg.f64 y)) z)
(/.f64 (-.f64 1 y) z)
(*.f64 -1 (/.f64 (-.f64 y 1) z))
(/.f64 (+.f64 1 (neg.f64 y)) z)
(/.f64 (-.f64 1 y) z)
(*.f64 -1 (/.f64 (-.f64 y 1) z))
(/.f64 (+.f64 1 (neg.f64 y)) z)
(/.f64 (-.f64 1 y) z)
(*.f64 -1 (/.f64 (-.f64 y 1) z))
(/.f64 (+.f64 1 (neg.f64 y)) z)
(/.f64 (-.f64 1 y) z)
(*.f64 -1 (/.f64 (-.f64 y 1) z))
(/.f64 (+.f64 1 (neg.f64 y)) z)
(/.f64 (-.f64 1 y) z)
(/.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 (/.f64 (-.f64 1 y) z) x 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 (/.f64 (-.f64 1 y) z) x 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 (/.f64 (-.f64 1 y) z) x 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 (/.f64 x z) 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 (/.f64 (-.f64 1 y) z) x 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 (/.f64 (-.f64 1 y) z) x 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 (/.f64 (-.f64 1 y) z) x 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 (/.f64 x z) 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 (/.f64 (-.f64 1 y) z) x 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 (/.f64 (-.f64 1 y) z) x 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 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.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 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.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 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.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 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
y
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.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 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.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 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.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 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
y
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) 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 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) 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 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) 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 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
y
(*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (/.f64 x z) (-.f64 1 y))

eval134.0ms (2.1%)

Compiler

Compiled 8077 to 3690 computations (54.3% saved)

prune132.0ms (2.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New50610516
Fresh224
Picked101
Done314
Total51213525
Error
0b
Counts
525 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
33.6b
(+.f64 (/.f64 x (/.f64 z (neg.f64 y))) (/.f64 x z))
✓40.0b
(/.f64 x z)
▶4.9b
(+.f64 (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x) y)
17.6b
(/.f64 (+.f64 x (*.f64 y z)) z)
▶22.7b
(-.f64 y (*.f64 (/.f64 x z) y))
▶9.2b
(+.f64 (/.f64 x z) y)
25.2b
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
55.1b
(/.f64 (*.f64 x (neg.f64 y)) z)
▶33.8b
(*.f64 x (/.f64 (-.f64 1 y) z))
39.6b
(/.f64 (*.f64 y z) z)
31.2b
y
▶53.8b
(*.f64 (neg.f64 y) (/.f64 x z))
31.3b
(*.f64 (-.f64 1 y) (/.f64 x z))
Compiler

Compiled 236 to 153 computations (35.2% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x) y)
✓0.0b
(-.f64 (/.f64 1 z) (/.f64 y z))
✓4.6b
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
Compiler

Compiled 40 to 19 computations (52.5% saved)

series9.0ms (0.1%)

Counts
3 → 84
Calls

24 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
1.0ms
z
@-inf
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
1.0ms
z
@inf
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
1.0ms
x
@0
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
0.0ms
x
@-inf
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)

rewrite98.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
583×log-prod_binary64
460×fma-def_binary64
309×pow2_binary64
258×fma-neg_binary64
211×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
122828
2350628
Stop Event
1×node limit
Counts
3 → 225
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
(-.f64 (/.f64 1 z) (/.f64 y z))
(+.f64 (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x) y)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 z) (/.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 z) (*.f64 (/.f64 (neg.f64 y) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 y) z) (fma.f64 (/.f64 (neg.f64 y) z) 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 y) z) (fma.f64 (neg.f64 (/.f64 1 z)) y (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 y) z) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 y) z) (+.f64 (/.f64 (neg.f64 y) z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 y) z) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 y) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 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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 log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (pow.f64 (exp.f64 x) (/.f64 (-.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1 y) z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1 y) z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1 y) z) x))) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 1 y) z)) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1 y) z) x))) (+.f64 1 (expm1.f64 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 expm1.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 1 y) z) x y)))))) (#(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 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 fma.f64 1 y (*.f64 (/.f64 (-.f64 1 y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 (-.f64 1 y) z) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 (/.f64 (-.f64 1 y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 y) z) x y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 (-.f64 1 y) z) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 1 y) z) x) 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 (-.f64 1 y) z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y)) (*.f64 (/.f64 (-.f64 1 y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (*.f64 (/.f64 (-.f64 1 y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 y) z) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 y) z) x)) 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 y) z) x)) 2) (cbrt.f64 (*.f64 (/.f64 (-.f64 1 y) z) x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) z)) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 y) z)) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 1 y) z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (/.f64 (-.f64 1 y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 y) z) x)) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 y) z) x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 1 y) z)) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 y) z)) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 1 y) z) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 1 y) z) (sqrt.f64 x)) (sqrt.f64 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) z)) 2)) (cbrt.f64 (/.f64 (-.f64 1 y) z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 (-.f64 1 y) z))) (sqrt.f64 (/.f64 (-.f64 1 y) z)) y)))))

simplify83.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
705×fma-def_binary64
487×fma-neg_binary64
101×distribute-rgt-in_binary64
86×cancel-sign-sub-inv_binary64
72×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037807
189749
2182749
3381749
4728749
51377749
62284749
72590749
82605749
Stop Event
1×saturated
Counts
309 → 247
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) 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))
(/.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 (*.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 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))
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 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))
Outputs
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(*.f64 (neg.f64 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(*.f64 (neg.f64 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (-.f64 1 y) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (-.f64 1 y) z)
(/.f64 (+.f64 1 (*.f64 -1 y)) z)
(/.f64 (-.f64 1 y) z)
(/.f64 1 z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(/.f64 (-.f64 1 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(/.f64 (-.f64 1 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(/.f64 (-.f64 1 y) z)
(*.f64 -1 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(/.f64 (-.f64 1 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(/.f64 (-.f64 1 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(/.f64 (-.f64 1 y) z)
(*.f64 -1 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(/.f64 (-.f64 1 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(/.f64 (-.f64 1 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(/.f64 (-.f64 1 y) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
y
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (/.f64 (*.f64 (-.f64 1 y) x) z))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
y
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(/.f64 x z)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) 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 y (/.f64 x z)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z)))) (/.f64 x z))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) 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 y (/.f64 x z)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y)) (/.f64 x z))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y)) (/.f64 x z))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 x z) 1) y)) (/.f64 x z))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
y
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (/.f64 (-.f64 1 y) (/.f64 z x)))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 x z) y)
Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite55.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
806×pow1_binary64
750×add-log-exp_binary64
750×log1p-expm1-u_binary64
750×expm1-log1p-u_binary64
733×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11347
219847
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(+.f64 (/.f64 x z) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 x z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x z) 2) (-.f64 (/.f64 x z) y)) (/.f64 (*.f64 y y) (-.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x z) y)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 x z) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 x z) y) 2)) (cbrt.f64 (+.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 x z) y)) (sqrt.f64 (+.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 y (-.f64 y (/.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 y y)) (/.f64 1 (-.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 y (-.f64 y (/.f64 x z)))) (+.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 x z) y) (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 y (-.f64 y (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 (/.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 y y)) (-.f64 (/.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x z) 2) (*.f64 y (-.f64 y (/.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 y y))) (neg.f64 (-.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2)) (-.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 x z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 x z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 z -1) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (/.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) y)))))

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06210
17210
Stop Event
1×saturated
Counts
70 → 37
Calls
Call 1
Inputs
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
Outputs
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.9b
(*.f64 (neg.f64 y) (/.f64 x z))
Compiler

Compiled 17 to 6 computations (64.7% saved)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@0
(*.f64 (neg.f64 y) (/.f64 x z))
1.0ms
z
@inf
(*.f64 (neg.f64 y) (/.f64 x z))
1.0ms
z
@0
(*.f64 (neg.f64 y) (/.f64 x z))
1.0ms
x
@0
(*.f64 (neg.f64 y) (/.f64 x z))
0.0ms
x
@inf
(*.f64 (neg.f64 y) (/.f64 x z))

rewrite50.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
713×pow1_binary64
658×add-log-exp_binary64
657×log1p-expm1-u_binary64
657×expm1-log1p-u_binary64
643×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11507
220837
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 (neg.f64 y) (/.f64 x z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) y) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 x z))))))))

simplify29.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
145×fma-def_binary64
46×fma-neg_binary64
24×sub-neg_binary64
18×div-sub_binary64
14×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08324
115324
235324
369324
4114324
5162324
6202324
7238324
8275324
9394324
10445324
Stop Event
1×saturated
Counts
60 → 26
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
Outputs
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 1 y) z)
✓4.6b
(*.f64 x (/.f64 (-.f64 1 y) z))
Compiler

Compiled 22 to 13 computations (40.9% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 x (/.f64 (-.f64 1 y) z))
1.0ms
z
@0
(*.f64 x (/.f64 (-.f64 1 y) z))
1.0ms
z
@inf
(*.f64 x (/.f64 (-.f64 1 y) z))
1.0ms
z
@-inf
(*.f64 x (/.f64 (-.f64 1 y) z))
0.0ms
z
@inf
(/.f64 (-.f64 1 y) z)

rewrite59.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
981×pow1_binary64
912×add-log-exp_binary64
912×log1p-expm1-u_binary64
912×expm1-log1p-u_binary64
88×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117117
2235117
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (-.f64 1 y) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 1 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (-.f64 1 y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1 y)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1 y)) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1 y)) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 y)) x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (-.f64 1 y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (-.f64 1 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 1 y) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 1 y) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 1 y) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 1 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (-.f64 1 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 1 y) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 y) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 y) z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (-.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (-.f64 1 y) z))))))))
((#(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 (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 (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 (sqrt.f64 (-.f64 1 y)) (*.f64 (sqrt.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 (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 1 (cbrt.f64 (*.f64 z z))) (/.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) 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 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (cbrt.f64 (*.f64 z z))) (cbrt.f64 (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) (cbrt.f64 (*.f64 z z))) (/.f64 (sqrt.f64 (-.f64 1 y)) (cbrt.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 expm1.f64 (log1p.f64 (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 y) z)))))))

simplify61.0ms (1%)

Algorithm
1×egg-herbie
Rules
659×fma-def_binary64
277×fma-neg_binary64
89×cancel-sign-sub-inv_binary64
87×distribute-rgt-in_binary64
75×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018467
139458
276431
3134431
4284431
5524431
61167431
71818431
82205431
92264431
Stop Event
1×saturated
Counts
105 → 68
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.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 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 y) (/.f64 z x))
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 x z) (neg.f64 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 y) (/.f64 z x))
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 x z) (neg.f64 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 1 z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(fma.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))
(fma.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))
(fma.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))
(fma.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))
(fma.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))
(fma.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))
(fma.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))
(fma.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))
(fma.f64 -1 (/.f64 y z) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 y (*.f64 (/.f64 x z) y))
✓2.9b
(*.f64 (/.f64 x z) y)
Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (/.f64 x z) y)
0.0ms
y
@inf
(-.f64 y (*.f64 (/.f64 x z) y))
0.0ms
z
@-inf
(-.f64 y (*.f64 (/.f64 x z) y))
0.0ms
z
@0
(-.f64 y (*.f64 (/.f64 x z) y))
0.0ms
x
@0
(-.f64 y (*.f64 (/.f64 x z) y))

rewrite64.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
969×pow1_binary64
901×add-log-exp_binary64
901×log1p-expm1-u_binary64
901×expm1-log1p-u_binary64
87×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116017
2241617
Stop Event
1×node limit
Counts
2 → 63
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
(-.f64 y (*.f64 (/.f64 x z) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) y) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x z) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (/.f64 x z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 (/.f64 x z) (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 (/.f64 x z) y)) (fma.f64 (neg.f64 y) (/.f64 x z) (*.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 (/.f64 x z) y)) (fma.f64 (/.f64 (neg.f64 x) z) y (*.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 (/.f64 x z) y)) (fma.f64 (*.f64 (/.f64 x z) (neg.f64 y)) 1 (*.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 (/.f64 x z) y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 x z) y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) y)) 2) (*.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 (/.f64 x z) y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x z) y))) (sqrt.f64 (*.f64 (/.f64 x z) y)) (*.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x z) (neg.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 1 (/.f64 (neg.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y (*.f64 (/.f64 x z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 y (*.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 y (*.f64 (/.f64 x z) y))) (pow.f64 (cbrt.f64 (-.f64 y (*.f64 (/.f64 x z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 (/.f64 x z) y))) 2) (cbrt.f64 (-.f64 y (*.f64 (/.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y (*.f64 (/.f64 x z) y))) (sqrt.f64 (-.f64 y (*.f64 (/.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 (/.f64 x z) y) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 (/.f64 x z) y) 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(2) ((x pow.f64 (pow.f64 (-.f64 y (*.f64 (/.f64 x z) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 y (*.f64 (/.f64 x z) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 y (*.f64 (/.f64 x z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 y (*.f64 (/.f64 x z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 y (*.f64 (/.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 y (*.f64 (/.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 y (*.f64 (/.f64 x z) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 y (*.f64 (/.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 y (*.f64 (/.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 y (*.f64 (/.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (/.f64 x z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (/.f64 x z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (/.f64 x z) (neg.f64 y)))))))

simplify59.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
388×fma-def_binary64
153×fma-neg_binary64
54×cancel-sign-sub-inv_binary64
51×associate-*r*_binary64
51×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016582
141582
286582
3180582
4286582
5497582
6876582
71038582
81227582
91350582
101355582
Stop Event
1×saturated
Counts
135 → 72
Calls
Call 1
Inputs
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(*.f64 (-.f64 1 (/.f64 x z)) y)
(*.f64 (-.f64 1 (/.f64 x z)) y)
(*.f64 (-.f64 1 (/.f64 x z)) y)
(*.f64 (-.f64 1 (/.f64 x z)) y)
(*.f64 (-.f64 1 (/.f64 x z)) y)
(*.f64 (-.f64 1 (/.f64 x z)) y)
(*.f64 (-.f64 1 (/.f64 x z)) y)
(*.f64 (-.f64 1 (/.f64 x z)) y)
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z))))
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z))))
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z))))
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z))))
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
Outputs
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 x z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(*.f64 (-.f64 1 (/.f64 x z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(*.f64 (-.f64 1 (/.f64 x z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(*.f64 (-.f64 1 (/.f64 x z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(*.f64 (-.f64 1 (/.f64 x z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(*.f64 (-.f64 1 (/.f64 x z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(*.f64 (-.f64 1 (/.f64 x z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(*.f64 (-.f64 1 (/.f64 x z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z))))
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z))))
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z))))
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(*.f64 y (+.f64 1 (*.f64 -1 (/.f64 x z))))
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 (*.f64 y x) z))
(/.f64 (neg.f64 y) (/.f64 z x))
(*.f64 (/.f64 x z) (neg.f64 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 (*.f64 y x) z))
(/.f64 (neg.f64 y) (/.f64 z x))
(*.f64 (/.f64 x z) (neg.f64 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 (*.f64 y x) z))
(/.f64 (neg.f64 y) (/.f64 z x))
(*.f64 (/.f64 x z) (neg.f64 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 y (-.f64 1 (/.f64 x z)))
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 y (/.f64 x z)))
(-.f64 y (/.f64 (*.f64 y x) z))

eval116.0ms (1.8%)

Compiler

Compiled 6639 to 3219 computations (51.5% saved)

prune83.0ms (1.3%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New4446450
Fresh347
Picked101
Done145
Total44914463
Error
0b
Counts
463 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
33.8b
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
✓33.8b
(*.f64 x (/.f64 (-.f64 1 y) z))
▶33.6b
(/.f64 x (/.f64 z (-.f64 1 y)))
▶17.6b
(/.f64 (+.f64 x (*.f64 y z)) z)
25.2b
(-.f64 y (/.f64 (*.f64 y x) z))
✓9.2b
(+.f64 (/.f64 x z) y)
▶40.1b
(*.f64 x (/.f64 1 z))
▶31.3b
(*.f64 (-.f64 1 y) (/.f64 x z))
✓40.0b
(/.f64 x z)
39.6b
(/.f64 (*.f64 y z) z)
55.1b
(/.f64 (*.f64 y x) (neg.f64 z))
▶56.2b
(*.f64 x (/.f64 (neg.f64 y) z))
31.2b
y
✓53.8b
(*.f64 (neg.f64 y) (/.f64 x z))
Compiler

Compiled 209 to 139 computations (33.5% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓8.5b
(/.f64 (+.f64 x (*.f64 y z)) z)
Compiler

Compiled 21 to 6 computations (71.4% saved)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite59.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
918×pow1_binary64
853×add-log-exp_binary64
853×log1p-expm1-u_binary64
853×expm1-log1p-u_binary64
834×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11548
222628
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (+.f64 x (*.f64 y z)) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 y z x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y z x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y z x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 y z x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (*.f64 (cbrt.f64 (fma.f64 y z x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 y z x) z)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y z x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y z x) z)) 2) (cbrt.f64 (/.f64 (fma.f64 y z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y z x)) (*.f64 (sqrt.f64 (fma.f64 y z x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 y z x) z)) (sqrt.f64 (/.f64 (fma.f64 y z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 y z x)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (fma.f64 y z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y z x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y z x)) 1) (/.f64 (sqrt.f64 (fma.f64 y z x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (fma.f64 y z x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (fma.f64 y z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (fma.f64 y z x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (fma.f64 y z x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (fma.f64 y z x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y z x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 y z x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 y z x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 y z x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (fma.f64 y z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 y z x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 y z x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 y z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 y z x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 y z x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 y z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 y z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 y z x) z)))))))

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06210
17210
Stop Event
1×saturated
Counts
67 → 34
Calls
Call 1
Inputs
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
Outputs
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 x (/.f64 1 z))
Compiler

Compiled 14 to 9 computations (35.7% saved)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
(*.f64 x (/.f64 1 z))
0.0ms
x
@-inf
(*.f64 x (/.f64 1 z))
0.0ms
z
@-inf
(*.f64 x (/.f64 1 z))
0.0ms
x
@inf
(*.f64 x (/.f64 1 z))
0.0ms
z
@0
(*.f64 x (/.f64 1 z))

rewrite47.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
537×pow1_binary64
514×add-sqr-sqrt_binary64
495×add-log-exp_binary64
495×log1p-expm1-u_binary64
495×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064
11204
214244
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 x (/.f64 1 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 z (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 z (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x z)))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0496
Stop Event
1×saturated
Counts
45 → 21
Calls
Call 1
Inputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
Outputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓6.7b
(*.f64 x (/.f64 (neg.f64 y) z))
Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 x (/.f64 (neg.f64 y) z))
0.0ms
z
@-inf
(*.f64 x (/.f64 (neg.f64 y) z))
0.0ms
y
@inf
(*.f64 x (/.f64 (neg.f64 y) z))
0.0ms
z
@inf
(*.f64 x (/.f64 (neg.f64 y) z))
0.0ms
x
@inf
(*.f64 x (/.f64 (neg.f64 y) z))

rewrite54.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
695×pow1_binary64
641×add-log-exp_binary64
640×log1p-expm1-u_binary64
640×expm1-log1p-u_binary64
626×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11507
221507
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 x (/.f64 (neg.f64 y) z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x y) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 y z))))))))

simplify29.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
145×fma-def_binary64
46×fma-neg_binary64
24×sub-neg_binary64
18×div-sub_binary64
14×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08324
115324
235324
369324
4114324
5162324
6202324
7238324
8275324
9394324
10445324
Stop Event
1×saturated
Counts
57 → 23
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
Outputs
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.8b
(*.f64 (-.f64 1 y) (/.f64 x z))
Compiler

Compiled 20 to 10 computations (50% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 (-.f64 1 y) (/.f64 x z))
0.0ms
z
@-inf
(*.f64 (-.f64 1 y) (/.f64 x z))
0.0ms
y
@inf
(*.f64 (-.f64 1 y) (/.f64 x z))
0.0ms
y
@-inf
(*.f64 (-.f64 1 y) (/.f64 x z))
0.0ms
x
@-inf
(*.f64 (-.f64 1 y) (/.f64 x z))

rewrite60.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
953×pow1_binary64
885×add-log-exp_binary64
885×log1p-expm1-u_binary64
885×expm1-log1p-u_binary64
867×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
116910
2229410
Stop Event
1×node limit
Counts
1 → 40
Calls
Call 1
Inputs
(*.f64 (-.f64 1 y) (/.f64 x z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (*.f64 (neg.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (*.f64 (/.f64 x z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 1 y) (/.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 y) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 y 3)) (*.f64 (/.f64 z x) (+.f64 1 (fma.f64 y y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 y y)) (*.f64 (/.f64 z x) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 y) x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 y) x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) 1) (*.f64 (+.f64 1 (fma.f64 y y y)) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) 1) (*.f64 (+.f64 1 y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) x) (*.f64 (+.f64 1 (fma.f64 y y y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (*.f64 (+.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) (neg.f64 x)) (*.f64 (+.f64 1 (fma.f64 y y y)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) (neg.f64 x)) (*.f64 (+.f64 1 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))) (*.f64 z (+.f64 1 (fma.f64 y y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 1 (pow.f64 y 3))) (*.f64 (neg.f64 z) (+.f64 1 (fma.f64 y y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 y y))) (*.f64 z (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 1 (*.f64 y y))) (*.f64 (neg.f64 z) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 y) x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 y) x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 y) x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 x z)) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) (/.f64 x z)) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 1 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 y) (neg.f64 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) (-.f64 1 (*.f64 y y))) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 y)) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 (/.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (-.f64 1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 y) (/.f64 x z))))))))

simplify57.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
708×fma-def_binary64
259×fma-neg_binary64
92×cancel-sign-sub-inv_binary64
85×distribute-rgt-in_binary64
73×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
014484
129451
262451
3120352
4271352
5510352
61138352
71657352
82234352
92299352
Stop Event
1×saturated
Counts
76 → 45
Calls
Call 1
Inputs
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
Outputs
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 y) (/.f64 z x))
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 (neg.f64 (/.f64 x z)) y)
(*.f64 y (/.f64 (neg.f64 x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 y) (/.f64 z x))
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 (neg.f64 (/.f64 x z)) y)
(*.f64 y (/.f64 (neg.f64 x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 z (-.f64 1 y))
✓4.1b
(/.f64 x (/.f64 z (-.f64 1 y)))
Compiler

Compiled 22 to 13 computations (40.9% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

15 calls:

TimeVariablePointExpression
1.0ms
z
@0
(/.f64 z (-.f64 1 y))
1.0ms
y
@inf
(/.f64 z (-.f64 1 y))
1.0ms
z
@-inf
(/.f64 z (-.f64 1 y))
0.0ms
z
@inf
(/.f64 z (-.f64 1 y))
0.0ms
y
@0
(/.f64 z (-.f64 1 y))

rewrite68.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
478×log-prod_binary64
377×exp-prod_binary64
304×prod-exp_binary64
256×pow-prod-down_binary64
238×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117517
2251817
Stop Event
1×node limit
Counts
2 → 133
Calls
Call 1
Inputs
(/.f64 x (/.f64 z (-.f64 1 y)))
(/.f64 z (-.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (*.f64 (neg.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x z) 1) (*.f64 (/.f64 x z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 1 y) z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 1 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 1 y) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 1 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 y) (/.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (-.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))) 2) (cbrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))) (sqrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 z) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 y) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -1) (/.f64 x (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 1 y))) -2) (/.f64 x (cbrt.f64 (/.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 z (-.f64 1 y))) 2)) (cbrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 z (-.f64 1 y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 z (-.f64 1 y)) -1/2) (/.f64 x (sqrt.f64 (/.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 z (-.f64 1 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) 1) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (-.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 z)) (neg.f64 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) (cbrt.f64 (pow.f64 (-.f64 1 y) 2))) (cbrt.f64 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 x (-.f64 1 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (-.f64 1 y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 z (*.f64 x (-.f64 1 y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 y) (/.f64 x z)))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 y) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 y) (/.f64 x z))))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 y) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 z) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 y) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (-.f64 1 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 y) (/.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1 y) (/.f64 x z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x (-.f64 1 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 y) (/.f64 x z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 z (-.f64 1 y))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (/.f64 z (-.f64 1 y))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 (-.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (log.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (-.f64 1 y) z)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 x z)) (*.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 z -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x z) (*.f64 (neg.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x z) 1 (*.f64 (/.f64 x z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (/.f64 x z)) (*.f64 (neg.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (*.f64 (neg.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) z) (*.f64 (neg.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) z) (*.f64 (neg.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 x (cbrt.f64 z)) (*.f64 (neg.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1/2) (/.f64 x (sqrt.f64 z)) (*.f64 (neg.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 z z))) (/.f64 (cbrt.f64 x) (cbrt.f64 z)) (*.f64 (neg.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 z z))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (*.f64 (neg.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (*.f64 (neg.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 (neg.f64 y) (/.f64 x z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 z (-.f64 1 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 z (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 z (-.f64 1 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 z (-.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 z (-.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 z (-.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 1 y))) 2) (cbrt.f64 (/.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 1 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 z (-.f64 1 y))) (sqrt.f64 (/.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (neg.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 z z)) 1) (/.f64 (cbrt.f64 z) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) -2) (/.f64 z (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 (pow.f64 (-.f64 1 y) 2))) (cbrt.f64 (/.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 (-.f64 1 y) 2))) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 y) -1/2) (/.f64 z (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (sqrt.f64 (-.f64 1 y))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (-.f64 1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 z (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 z (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 y) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 1 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 y) z) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 z (-.f64 1 y)))) 2)) (cbrt.f64 (log.f64 (/.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 z (-.f64 1 y))))) (sqrt.f64 (log.f64 (/.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (neg.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (-.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 z (-.f64 1 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 z (-.f64 1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 z (-.f64 1 y)))) 2))))) (#(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 exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z (-.f64 1 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 z) 1) (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 z) (*.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 z) 1) (*.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (neg.f64 (log1p.f64 (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (*.f64 (log.f64 z) 1)))))))

simplify60.0ms (1%)

Algorithm
1×egg-herbie
Rules
570×fma-def_binary64
439×distribute-lft-out_binary64
386×sub-neg_binary64
382×associate-*r/_binary64
317×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041561
1122543
2347530
31106511
44336505
Stop Event
1×node limit
Counts
181 → 153
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
z
(+.f64 (*.f64 y z) z)
(+.f64 (*.f64 y z) (+.f64 z (*.f64 (pow.f64 y 2) z)))
(+.f64 (*.f64 y z) (+.f64 (*.f64 (pow.f64 y 3) z) (+.f64 z (*.f64 (pow.f64 y 2) z))))
(*.f64 -1 (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 z (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 z (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 4))) (*.f64 -1 (/.f64 z (pow.f64 y 2))))))
(*.f64 -1 (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 z (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 z (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 4))) (*.f64 -1 (/.f64 z (pow.f64 y 2))))))
Outputs
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (*.f64 (neg.f64 y) x) z)
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (/.f64 (neg.f64 x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (*.f64 (neg.f64 y) x) z)
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (/.f64 (neg.f64 x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
z
(+.f64 (*.f64 y z) z)
(fma.f64 y z z)
(+.f64 (*.f64 y z) (+.f64 z (*.f64 (pow.f64 y 2) z)))
(fma.f64 y z (*.f64 (+.f64 (*.f64 y y) 1) z))
(*.f64 z (+.f64 y (fma.f64 y y 1)))
(+.f64 z (*.f64 y (fma.f64 y z z)))
(fma.f64 y (fma.f64 y z z) z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 (pow.f64 y 3) z) (+.f64 z (*.f64 (pow.f64 y 2) z))))
(fma.f64 y z (fma.f64 (pow.f64 y 3) z (*.f64 (+.f64 (*.f64 y y) 1) z)))
(fma.f64 y z (*.f64 z (+.f64 (pow.f64 y 3) (fma.f64 y y 1))))
(*.f64 z (+.f64 y (+.f64 (pow.f64 y 3) (fma.f64 y y 1))))
(*.f64 (fma.f64 y y 1) (fma.f64 y z z))
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 z (pow.f64 y 2))))
(*.f64 -1 (+.f64 (/.f64 z y) (/.f64 z (*.f64 y y))))
(-.f64 (/.f64 (neg.f64 z) y) (/.f64 z (*.f64 y y)))
(*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 z (pow.f64 y 2)))))
(fma.f64 -1 (/.f64 z (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 z y) (/.f64 z (*.f64 y y)))))
(-.f64 (-.f64 (/.f64 (neg.f64 z) (pow.f64 y 3)) (/.f64 z y)) (/.f64 z (*.f64 y y)))
(-.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1 y))) (/.f64 z (pow.f64 y 3)))
(fma.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1 y)) (/.f64 (neg.f64 z) (pow.f64 y 3)))
(+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 4))) (*.f64 -1 (/.f64 z (pow.f64 y 2))))))
(fma.f64 -1 (/.f64 z (pow.f64 y 3)) (fma.f64 -1 (/.f64 z y) (*.f64 -1 (+.f64 (/.f64 z (pow.f64 y 4)) (/.f64 z (*.f64 y y))))))
(-.f64 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) y) y) (/.f64 z (pow.f64 y 4))) (/.f64 z y)) (/.f64 z (pow.f64 y 3)))
(-.f64 (-.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1 y))) (/.f64 z (pow.f64 y 3))) (/.f64 z (pow.f64 y 4)))
(*.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (+.f64 (/.f64 z y) (/.f64 z (*.f64 y y))))
(*.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3))) (+.f64 z (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 z (pow.f64 y 2))))
(*.f64 -1 (+.f64 (/.f64 z y) (/.f64 z (*.f64 y y))))
(-.f64 (/.f64 (neg.f64 z) y) (/.f64 z (*.f64 y y)))
(*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 z (pow.f64 y 2)))))
(fma.f64 -1 (/.f64 z (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 z y) (/.f64 z (*.f64 y y)))))
(-.f64 (-.f64 (/.f64 (neg.f64 z) (pow.f64 y 3)) (/.f64 z y)) (/.f64 z (*.f64 y y)))
(-.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1 y))) (/.f64 z (pow.f64 y 3)))
(fma.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1 y)) (/.f64 (neg.f64 z) (pow.f64 y 3)))
(+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1 (/.f64 z (pow.f64 y 4))) (*.f64 -1 (/.f64 z (pow.f64 y 2))))))
(fma.f64 -1 (/.f64 z (pow.f64 y 3)) (fma.f64 -1 (/.f64 z y) (*.f64 -1 (+.f64 (/.f64 z (pow.f64 y 4)) (/.f64 z (*.f64 y y))))))
(-.f64 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) y) y) (/.f64 z (pow.f64 y 4))) (/.f64 z y)) (/.f64 z (pow.f64 y 3)))
(-.f64 (-.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1 y))) (/.f64 z (pow.f64 y 3))) (/.f64 z (pow.f64 y 4)))
(*.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (+.f64 (/.f64 z y) (/.f64 z (*.f64 y y))))
(*.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3))) (+.f64 z (/.f64 z y)))

eval60.0ms (1%)

Compiler

Compiled 3116 to 1606 computations (48.5% saved)

prune47.0ms (0.7%)

Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New2742276
Fresh145
Picked011
Done178
Total27614290
Error
0b
Counts
290 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓33.6b
(/.f64 x (/.f64 z (-.f64 1 y)))
40.1b
(/.f64 1 (/.f64 z x))
✓17.6b
(/.f64 (+.f64 x (*.f64 y z)) z)
40.0b
(/.f64 x (+.f64 (*.f64 y z) z))
✓56.2b
(*.f64 x (/.f64 (neg.f64 y) z))
25.2b
(-.f64 y (/.f64 (*.f64 y x) z))
✓9.2b
(+.f64 (/.f64 x z) y)
✓40.0b
(/.f64 x z)
✓33.8b
(*.f64 x (/.f64 (-.f64 1 y) z))
39.6b
(/.f64 (*.f64 y z) z)
55.1b
(/.f64 (*.f64 y x) (neg.f64 z))
31.2b
y
✓53.8b
(*.f64 (neg.f64 y) (/.f64 x z))
✓40.1b
(*.f64 x (/.f64 1 z))
Compiler

Compiled 119 to 79 computations (33.6% saved)

regimes217.0ms (3.4%)

Counts
28 → 1
Calls
Call 1
Inputs
y
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 x (/.f64 1 z))
(+.f64 (/.f64 x z) y)
(/.f64 (*.f64 y z) z)
(/.f64 (*.f64 y x) (neg.f64 z))
(*.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 x (neg.f64 y)) z)
(*.f64 (neg.f64 y) (/.f64 x z))
(/.f64 x (+.f64 (*.f64 y z) z))
(/.f64 x (/.f64 z (-.f64 1 y)))
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (*.f64 (/.f64 x z) y))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (+.f64 x (*.f64 y z)) z)
(/.f64 (+.f64 x (*.f64 x (neg.f64 y))) z)
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(+.f64 (/.f64 x (/.f64 z (neg.f64 y))) (/.f64 x z))
(+.f64 (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x) y)
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
Outputs
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
Calls

4 calls:

100.0ms
x
81.0ms
y
15.0ms
z
14.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 229 to 101 computations (55.9% saved)

regimes145.0ms (2.3%)

Counts
25 → 3
Calls
Call 1
Inputs
y
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 x (/.f64 1 z))
(+.f64 (/.f64 x z) y)
(/.f64 (*.f64 y z) z)
(/.f64 (*.f64 y x) (neg.f64 z))
(*.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 x (neg.f64 y)) z)
(*.f64 (neg.f64 y) (/.f64 x z))
(/.f64 x (+.f64 (*.f64 y z) z))
(/.f64 x (/.f64 z (-.f64 1 y)))
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (*.f64 (/.f64 x z) y))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (+.f64 x (*.f64 y z)) z)
(/.f64 (+.f64 x (*.f64 x (neg.f64 y))) z)
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(+.f64 (/.f64 x (/.f64 z (neg.f64 y))) (/.f64 x z))
(+.f64 (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x) y)
Outputs
(+.f64 (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x) y)
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(+.f64 (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x) y)
Calls

4 calls:

38.0ms
x
37.0ms
z
34.0ms
y
31.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
ErrorSegmentsBranch
2.9b3x
0.1b3y
0.1b3z
0.1b3(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 194 to 83 computations (57.2% saved)

bsearch37.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
1.20916269802911e+70
1.545119566659888e+75
18.0ms
-6.005291817151364e+54
-3.8546024153154845e+52
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes136.0ms (2.2%)

Counts
24 → 3
Calls
Call 1
Inputs
y
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 x (/.f64 1 z))
(+.f64 (/.f64 x z) y)
(/.f64 (*.f64 y z) z)
(/.f64 (*.f64 y x) (neg.f64 z))
(*.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 x (neg.f64 y)) z)
(*.f64 (neg.f64 y) (/.f64 x z))
(/.f64 x (+.f64 (*.f64 y z) z))
(/.f64 x (/.f64 z (-.f64 1 y)))
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (*.f64 (/.f64 x z) y))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (+.f64 x (*.f64 y z)) z)
(/.f64 (+.f64 x (*.f64 x (neg.f64 y))) z)
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(+.f64 (/.f64 x (/.f64 z (neg.f64 y))) (/.f64 x z))
Outputs
(-.f64 y (*.f64 (/.f64 x z) y))
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(-.f64 y (*.f64 (/.f64 x z) y))
Calls

4 calls:

35.0ms
y
33.0ms
z
32.0ms
x
30.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
ErrorSegmentsBranch
7.8b2x
0.1b3y
1.7b3z
0.1b3(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 183 to 78 computations (57.4% saved)

bsearch38.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
15128520545107.725
8.290186509718628e+26
20.0ms
-243236694156413570.0
-938382183795.7367
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes93.0ms (1.5%)

Counts
22 → 3
Calls
Call 1
Inputs
y
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 x (/.f64 1 z))
(+.f64 (/.f64 x z) y)
(/.f64 (*.f64 y z) z)
(/.f64 (*.f64 y x) (neg.f64 z))
(*.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 x (neg.f64 y)) z)
(*.f64 (neg.f64 y) (/.f64 x z))
(/.f64 x (+.f64 (*.f64 y z) z))
(/.f64 x (/.f64 z (-.f64 1 y)))
(-.f64 y (/.f64 (*.f64 y x) z))
(-.f64 y (*.f64 (/.f64 x z) y))
(*.f64 x (/.f64 (-.f64 1 y) z))
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (-.f64 1 y) (/.f64 x z))
(/.f64 (+.f64 x (*.f64 y z)) z)
(/.f64 (+.f64 x (*.f64 x (neg.f64 y))) z)
(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
Outputs
(-.f64 y (*.f64 (/.f64 x z) y))
(+.f64 (/.f64 x z) y)
(-.f64 y (*.f64 (/.f64 x z) y))
Calls

3 calls:

44.0ms
z
32.0ms
y
12.0ms
x
Results
ErrorSegmentsBranch
9.2b1x
1.0b3y
6.5b3z
Compiler

Compiled 152 to 66 computations (56.6% saved)

bsearch36.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
0.19423617745010208
2114275791409.612
18.0ms
-3761.5671114663146
-9.251279337457347e-5
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes56.0ms (0.9%)

Counts
13 → 3
Calls
Call 1
Inputs
y
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 x (/.f64 1 z))
(+.f64 (/.f64 x z) y)
(/.f64 (*.f64 y z) z)
(/.f64 (*.f64 y x) (neg.f64 z))
(*.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 x (neg.f64 y)) z)
(*.f64 (neg.f64 y) (/.f64 x z))
(/.f64 x (+.f64 (*.f64 y z) z))
(/.f64 x (/.f64 z (-.f64 1 y)))
(-.f64 y (/.f64 (*.f64 y x) z))
Outputs
(-.f64 y (/.f64 (*.f64 y x) z))
(+.f64 (/.f64 x z) y)
(-.f64 y (/.f64 (*.f64 y x) z))
Calls

3 calls:

24.0ms
y
21.0ms
z
8.0ms
x
Results
ErrorSegmentsBranch
9.2b1x
3.5b3y
7.8b3z
Compiler

Compiled 84 to 39 computations (53.6% saved)

bsearch315.0ms (5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
295.0ms
0.19423617745010208
2114275791409.612
19.0ms
-3761.5671114663146
-9.251279337457347e-5
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes260.0ms (4.1%)

Counts
12 → 3
Calls
Call 1
Inputs
y
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 x (/.f64 1 z))
(+.f64 (/.f64 x z) y)
(/.f64 (*.f64 y z) z)
(/.f64 (*.f64 y x) (neg.f64 z))
(*.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 x (neg.f64 y)) z)
(*.f64 (neg.f64 y) (/.f64 x z))
(/.f64 x (+.f64 (*.f64 y z) z))
(/.f64 x (/.f64 z (-.f64 1 y)))
Outputs
(+.f64 (/.f64 x z) y)
(/.f64 (*.f64 y x) (neg.f64 z))
(+.f64 (/.f64 x z) y)
Calls

3 calls:

228.0ms
z
21.0ms
y
8.0ms
x
Results
ErrorSegmentsBranch
9.2b1x
7.9b3y
8.0b3z
Compiler

Compiled 77 to 37 computations (51.9% saved)

bsearch44.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
-6.665180761575833e+28
-2.336297960033366e+24
24.0ms
-2.308640521629641e+57
-1.875187995170035e+56
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes18.0ms (0.3%)

Counts
6 → 1
Calls
Call 1
Inputs
y
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 x (/.f64 1 z))
(+.f64 (/.f64 x z) y)
(/.f64 (*.f64 y z) z)
Outputs
(+.f64 (/.f64 x z) y)
Calls

3 calls:

6.0ms
x
5.0ms
z
5.0ms
y
Results
ErrorSegmentsBranch
9.2b1x
9.2b1y
9.2b1z
Compiler

Compiled 39 to 22 computations (43.6% saved)

regimes60.0ms (0.9%)

Accuracy

Total -43.2b remaining (-230.7%)

Threshold costs -43.2b (-230.7%)

Counts
4 → 7
Calls
Call 1
Inputs
y
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 x (/.f64 1 z))
Outputs
y
(/.f64 x z)
y
(/.f64 x z)
y
(/.f64 x z)
y
Calls

3 calls:

26.0ms
y
17.0ms
z
15.0ms
x
Results
ErrorSegmentsBranch
21.8b3x
18.7b7y
22.9b3z
Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch99.0ms (1.6%)

Algorithm
6×binary-search
Steps
TimeLeftRight
21.0ms
1.5242836850062348e-8
2.2811164699921885e-5
19.0ms
4.10643591293946e-63
5.2000543715929125e-61
0.0ms
3.6680259657783913e-125
3.7704465453698117e-125
19.0ms
-2.550606052139158e-154
-6.833408590233269e-156
19.0ms
-7.058985555465626e-63
-4.612251427472282e-63
21.0ms
-6.613427832500346e-31
-4.509802651228669e-34
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify63.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
071291
197291
2123291
3142291
4151291
5153291
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(if (<=.f64 z -6005291817151363727992022827249585657650973629285924864) (+.f64 (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x) y) (if (<=.f64 z 12091626980291099709132914380758352163827396902259728073507114793828352) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (+.f64 (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x) y)))
(if (<=.f64 y -243236694156413568) (-.f64 y (*.f64 (/.f64 x z) y)) (if (<=.f64 y 7745802519095155/512) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))))
(if (<=.f64 y -2067943388858497/549755813888) (-.f64 y (*.f64 (/.f64 x z) y)) (if (<=.f64 y 3583025055277667328/18446744073709551616) (+.f64 (/.f64 x z) y) (-.f64 y (*.f64 (/.f64 x z) y))))
(if (<=.f64 y -2067943388858497/549755813888) (-.f64 y (/.f64 (*.f64 y x) z)) (if (<=.f64 y 3583025055277667328/18446744073709551616) (+.f64 (/.f64 x z) y) (-.f64 y (/.f64 (*.f64 y x) z))))
(if (<=.f64 y -2308640521629641058737133404249662749404010496919366270976) (+.f64 (/.f64 x z) y) (if (<=.f64 y -66651807615758332808252096512) (/.f64 (*.f64 y x) (neg.f64 z)) (+.f64 (/.f64 x z) y)))
(+.f64 (/.f64 x z) y)
(if (<=.f64 y -966553560556902016/1461501637330902918203684832716283019655932542976) y (if (<=.f64 y -3269498741453607/463168356949264781694283940034751631413079938662562256157830336031652518559744) (/.f64 x z) (if (<=.f64 y -1925178280259119/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) y (if (<=.f64 y 1762461797511165/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (/.f64 x z) (if (<=.f64 y 7607884698854495/1852673427797059126777135760139006525652319754650249024631321344126610074238976) y (if (<=.f64 y 287929047378339/18889465931478580854784) (/.f64 x z) y))))))
y
Outputs
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(if (<=.f64 z -6005291817151363727992022827249585657650973629285924864) (+.f64 (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x) y) (if (<=.f64 z 12091626980291099709132914380758352163827396902259728073507114793828352) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (+.f64 (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x) y)))
(if (<=.f64 z -6005291817151363727992022827249585657650973629285924864) (+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)))) (if (<=.f64 z 12091626980291099709132914380758352163827396902259728073507114793828352) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))))
(if (<=.f64 y -243236694156413568) (-.f64 y (*.f64 (/.f64 x z) y)) (if (<=.f64 y 7745802519095155/512) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))))
(if (<=.f64 y -2067943388858497/549755813888) (-.f64 y (*.f64 (/.f64 x z) y)) (if (<=.f64 y 3583025055277667328/18446744073709551616) (+.f64 (/.f64 x z) y) (-.f64 y (*.f64 (/.f64 x z) y))))
(if (<=.f64 y -2067943388858497/549755813888) (-.f64 y (*.f64 (/.f64 x z) y)) (if (<=.f64 y 3499047905544597/18014398509481984) (+.f64 (/.f64 x z) y) (-.f64 y (*.f64 (/.f64 x z) y))))
(if (<=.f64 y -2067943388858497/549755813888) (-.f64 y (/.f64 (*.f64 y x) z)) (if (<=.f64 y 3583025055277667328/18446744073709551616) (+.f64 (/.f64 x z) y) (-.f64 y (/.f64 (*.f64 y x) z))))
(if (<=.f64 y -2067943388858497/549755813888) (-.f64 y (/.f64 (*.f64 x y) z)) (if (<=.f64 y 3499047905544597/18014398509481984) (+.f64 (/.f64 x z) y) (-.f64 y (/.f64 (*.f64 x y) z))))
(if (<=.f64 y -2308640521629641058737133404249662749404010496919366270976) (+.f64 (/.f64 x z) y) (if (<=.f64 y -66651807615758332808252096512) (/.f64 (*.f64 y x) (neg.f64 z)) (+.f64 (/.f64 x z) y)))
(if (<=.f64 y -2308640521629641058737133404249662749404010496919366270976) (+.f64 (/.f64 x z) y) (if (<=.f64 y -66651807615758332808252096512) (/.f64 (*.f64 x y) (neg.f64 z)) (+.f64 (/.f64 x z) y)))
(+.f64 (/.f64 x z) y)
(if (<=.f64 y -966553560556902016/1461501637330902918203684832716283019655932542976) y (if (<=.f64 y -3269498741453607/463168356949264781694283940034751631413079938662562256157830336031652518559744) (/.f64 x z) (if (<=.f64 y -1925178280259119/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) y (if (<=.f64 y 1762461797511165/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (/.f64 x z) (if (<=.f64 y 7607884698854495/1852673427797059126777135760139006525652319754650249024631321344126610074238976) y (if (<=.f64 y 287929047378339/18889465931478580854784) (/.f64 x z) y))))))
(if (<=.f64 y -7551199691850797/11417981541647679048466287755595961091061972992) y (if (<=.f64 y -3269498741453607/463168356949264781694283940034751631413079938662562256157830336031652518559744) (/.f64 x z) (if (<=.f64 y -1925178280259119/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) y (if (<=.f64 y 1762461797511165/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (/.f64 x z) (if (<=.f64 y 7607884698854495/1852673427797059126777135760139006525652319754650249024631321344126610074238976) y (if (<=.f64 y 287929047378339/18889465931478580854784) (/.f64 x z) y))))))
y
Compiler

Compiled 229 to 119 computations (48% saved)

soundness0.0ms (0%)

end145.0ms (2.3%)

Compiler

Compiled 205 to 79 computations (61.5% saved)

Profiling

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