Details

Time bar (total: 5.8s)

analyze232.0ms (4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
6.2%93.6%0.1%6
15.6%84.3%0.1%7
23.4%76.5%0.1%8
32.8%67.1%0.1%9
43.3%56.6%0.1%10
50.5%49.3%0.1%11
58.7%41.2%0.1%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.2s (20.4%)

Results
1.2s8254×body256valid
0.0msbody1024valid
0.0msbody512valid

preprocess149.0ms (2.6%)

Algorithm
egg-herbie
Rules
1362×fma-neg_binary64
623×div-sub_binary64
600×distribute-rgt-in_binary64
383×sub-neg_binary64
280×times-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02152
13452
25452
38152
413052
518552
624852
731452
837152
954652
1098852
11265652
12556152
13650752
14674252
15681652
16686452
17688652
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
(/.f64 (+.f64 y x) (-.f64 1 (/.f64 x z)))
(/.f64 (+.f64 z y) (-.f64 1 (/.f64 y x)))
(/.f64 (+.f64 x z) (-.f64 1 (/.f64 z y)))
Outputs
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
(/.f64 (+.f64 y x) (-.f64 1 (/.f64 x z)))
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 x z)))
(/.f64 (+.f64 z y) (-.f64 1 (/.f64 y x)))
(/.f64 (+.f64 y z) (-.f64 1 (/.f64 y x)))
(/.f64 (+.f64 x z) (-.f64 1 (/.f64 z y)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify87.0ms (1.5%)

Algorithm
egg-herbie
Rules
1668×fma-neg_binary64
875×div-sub_binary64
645×fma-def_binary64
358×distribute-rgt-in_binary64
316×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11413
22013
32813
44313
55913
67913
710013
811713
916413
1022913
1131413
1256013
13137613
14289113
15473813
16649313
17737313
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
Outputs
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
7.4b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
7.4b
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (/.f64 y z))
7.4b
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
Compiler

Compiled 27 to 11 computations (59.3% saved)

series10.0ms (0.2%)

Counts
2 → 60
Calls

15 calls:

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

rewrite100.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
816×prod-diff_binary64
531×log-prod_binary64
284×pow2_binary64
248×fma-def_binary64
195×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
120320
2302120
Stop Event
node limit
Counts
2 → 87
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
(-.f64 1 (/.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 y z)))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (-.f64 1 (/.f64 y z)))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (-.f64 1 (pow.f64 (/.f64 y z) 3))) (fma.f64 (/.f64 y z) (+.f64 1 (/.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (-.f64 1 (pow.f64 (/.f64 y z) 2))) (+.f64 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 1 (/.f64 y z)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 1 (/.f64 y z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (neg.f64 y) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 y z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) 2) (cbrt.f64 (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 y z))) (sqrt.f64 (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 y z) 3)) (/.f64 1 (fma.f64 (/.f64 y z) (+.f64 1 (/.f64 y z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 y z) 2)) (/.f64 1 (+.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 y z) (+.f64 1 (/.f64 y z)) 1) (-.f64 1 (pow.f64 (/.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 y z)) (-.f64 1 (pow.f64 (/.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 y z) 3)) (fma.f64 (/.f64 y z) (+.f64 1 (/.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 y z) 2)) (+.f64 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y z) 3))) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 1 (/.f64 y z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y z) 2))) (neg.f64 (+.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 y) z) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (neg.f64 y) z) 2) (/.f64 (neg.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (neg.f64 y) z) 2)) (-.f64 1 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 y z) (+.f64 1 (/.f64 y z)) 1) (-.f64 1 (pow.f64 (/.f64 y z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (/.f64 y z)) (-.f64 1 (pow.f64 (/.f64 y z) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (neg.f64 (/.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (neg.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (neg.f64 (cbrt.f64 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y z)) (neg.f64 (sqrt.f64 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) (/.f64 1 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 y) z)) 2) (cbrt.f64 (/.f64 (neg.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 y) z)) (sqrt.f64 (/.f64 (neg.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 y z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) 1)))))

simplify79.0ms (1.4%)

Algorithm
egg-herbie
Rules
660×fma-def_binary64
491×times-frac_binary64
434×sub-neg_binary64
406×unsub-neg_binary64
364×div-sub_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01171157
13791111
21335950
36742940
Stop Event
node limit
Counts
147 → 131
Calls
Call 1
Inputs
(/.f64 y (-.f64 1 (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(/.f64 x (-.f64 1 (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(/.f64 x (-.f64 1 (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
x
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x)
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (*.f64 -1 (/.f64 x z)))) z) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x))
(+.f64 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 1 (*.f64 -1 (/.f64 x z)))) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (*.f64 -1 (/.f64 x z)))) z) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x)))
(*.f64 -1 z)
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) (/.f64 (pow.f64 z 2) y))
(-.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) z) (pow.f64 y 2)))) (/.f64 (pow.f64 z 2) y))
(-.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) (pow.f64 z 2)) (pow.f64 y 3)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) z) (pow.f64 y 2))))) (/.f64 (pow.f64 z 2) y))
(*.f64 -1 z)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (*.f64 -1 z))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) z) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) (pow.f64 z 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) z) (pow.f64 y 2))))))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) (pow.f64 z 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) (pow.f64 z 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 1 (pow.f64 y 3))) (pow.f64 z 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)))))
(+.f64 y x)
(+.f64 (/.f64 (*.f64 y (+.f64 y x)) z) (+.f64 y x))
(+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y x)) (pow.f64 z 2)) x)))
(+.f64 (/.f64 (*.f64 (+.f64 y x) (pow.f64 y 2)) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 y x)) (pow.f64 z 3)) (+.f64 y x))))
(+.f64 y x)
(+.f64 (/.f64 (*.f64 y (+.f64 y x)) z) (+.f64 y x))
(+.f64 (/.f64 (*.f64 (+.f64 y x) (pow.f64 y 2)) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 y x)))
(+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 y (+.f64 (/.f64 (*.f64 (+.f64 y x) (pow.f64 y 3)) (pow.f64 z 3)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y x)) (pow.f64 z 2)) x))))
1
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
1
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
1
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
Outputs
(/.f64 y (-.f64 1 (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
(/.f64 x (-.f64 1 (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
(/.f64 x (-.f64 1 (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
x
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(fma.f64 y (-.f64 1 (neg.f64 (/.f64 x z))) x)
(fma.f64 y (+.f64 1 (/.f64 x z)) x)
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(+.f64 (fma.f64 y (-.f64 1 (neg.f64 (/.f64 x z))) x) (/.f64 (*.f64 y y) (/.f64 z (-.f64 1 (neg.f64 (/.f64 x z))))))
(+.f64 (fma.f64 y (+.f64 1 (/.f64 x z)) x) (*.f64 (/.f64 y (/.f64 z y)) (+.f64 1 (/.f64 x z))))
(+.f64 x (*.f64 (+.f64 1 (/.f64 x z)) (+.f64 y (/.f64 (*.f64 y y) z))))
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(+.f64 (+.f64 (fma.f64 y (-.f64 1 (neg.f64 (/.f64 x z))) x) (/.f64 (*.f64 y y) (/.f64 z (-.f64 1 (neg.f64 (/.f64 x z)))))) (/.f64 (pow.f64 y 3) (/.f64 (*.f64 z z) (-.f64 1 (neg.f64 (/.f64 x z))))))
(+.f64 (*.f64 (/.f64 y (/.f64 z y)) (+.f64 1 (/.f64 x z))) (+.f64 (fma.f64 y (+.f64 1 (/.f64 x z)) x) (*.f64 (/.f64 (pow.f64 y 3) (*.f64 z z)) (+.f64 1 (/.f64 x z)))))
(+.f64 x (fma.f64 (/.f64 (pow.f64 y 3) (*.f64 z z)) (+.f64 1 (/.f64 x z)) (*.f64 (+.f64 1 (/.f64 x z)) (+.f64 y (/.f64 (*.f64 y y) z)))))
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) (/.f64 (pow.f64 z 2) y))
(-.f64 (*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) (/.f64 (*.f64 z z) y))
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(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y))
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(-.f64 (fma.f64 -1 z (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (*.f64 y y) z)))) (/.f64 (*.f64 z z) y))
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(-.f64 (*.f64 (+.f64 (/.f64 z y) 1) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)) z)
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(-.f64 (fma.f64 -1 z (fma.f64 -1 (/.f64 z (/.f64 y x)) (+.f64 (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (*.f64 y y) z)) (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (pow.f64 y 3) (*.f64 z z)))))) (/.f64 (*.f64 z z) y))
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(-.f64 (*.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (*.f64 y y)) (+.f64 z (*.f64 (/.f64 z y) z))) (+.f64 z (/.f64 (*.f64 z (+.f64 x z)) y)))
(*.f64 -1 z)
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(-.f64 (*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) (/.f64 (*.f64 z z) y))
(-.f64 (-.f64 (neg.f64 z) (*.f64 (/.f64 z y) x)) (/.f64 z (/.f64 y z)))
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y))
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(-.f64 (fma.f64 -1 z (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (*.f64 y y) z)))) (/.f64 (*.f64 z z) y))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 z x (*.f64 z z))) (/.f64 y (/.f64 z y))) (*.f64 (/.f64 z y) x)) z) (/.f64 z (/.f64 y z)))
(-.f64 (*.f64 (+.f64 (/.f64 z y) 1) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)) z)
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(-.f64 (fma.f64 -1 z (fma.f64 -1 (/.f64 z (/.f64 y x)) (+.f64 (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (*.f64 y y) z)) (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (pow.f64 y 3) (*.f64 z z)))))) (/.f64 (*.f64 z z) y))
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(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)))
(*.f64 -1 (+.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))) (/.f64 (+.f64 y x) (/.f64 y z))))
(neg.f64 (fma.f64 (*.f64 z z) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (*.f64 (/.f64 (+.f64 y x) y) z)))
(*.f64 z (-.f64 (*.f64 z (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 -1 y))) (/.f64 (+.f64 y x) y)))
(*.f64 z (-.f64 (*.f64 z (-.f64 (/.f64 -1 y) (/.f64 x (*.f64 y y)))) (/.f64 (+.f64 y x) y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) (pow.f64 z 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))))
(fma.f64 -1 (*.f64 (*.f64 z z) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))) (*.f64 -1 (+.f64 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) (pow.f64 z 3)) (/.f64 (+.f64 y x) (/.f64 y z)))))
(-.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) (pow.f64 z 3) (*.f64 (/.f64 (+.f64 y x) y) z))) (*.f64 z (*.f64 z (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))))
(fma.f64 (pow.f64 z 3) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) (*.f64 z (-.f64 (*.f64 z (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 -1 y))) (/.f64 (+.f64 y x) y))))
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(+.f64 y x)
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(*.f64 (+.f64 (/.f64 y z) 1) (+.f64 y x))
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(+.f64 y x)
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(+.f64 y (+.f64 x (*.f64 (/.f64 (+.f64 y x) z) (+.f64 (/.f64 (*.f64 y y) z) y))))
(+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 y (+.f64 (/.f64 (*.f64 (+.f64 y x) (pow.f64 y 3)) (pow.f64 z 3)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y x)) (pow.f64 z 2)) x))))
(+.f64 (+.f64 (/.f64 (*.f64 y y) (/.f64 (*.f64 z z) (+.f64 y x))) (/.f64 y (/.f64 z (+.f64 y x)))) (+.f64 (+.f64 y x) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 z 3) (+.f64 y x)))))
(+.f64 (*.f64 (/.f64 (+.f64 y x) z) y) (+.f64 (+.f64 (+.f64 y x) (/.f64 (+.f64 y x) (*.f64 (/.f64 z y) (/.f64 z y)))) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 z 3) (+.f64 y x)))))
(+.f64 (*.f64 (+.f64 (/.f64 y z) 1) (+.f64 y x)) (*.f64 (/.f64 (/.f64 (+.f64 y x) z) z) (+.f64 (*.f64 y y) (/.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y z) 3) 1) (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) z) (+.f64 (/.f64 (*.f64 y y) z) y)))
1
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(-.f64 1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(-.f64 1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(-.f64 1 (/.f64 y z))
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(-.f64 1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(-.f64 1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(-.f64 1 (/.f64 y z))
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(-.f64 1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(-.f64 1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(-.f64 1 (/.f64 y z))
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(-.f64 1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(-.f64 1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(-.f64 1 (/.f64 y z))
1
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(-.f64 1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(-.f64 1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(-.f64 1 (/.f64 y z))
1
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(-.f64 1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(-.f64 1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) 1)
(-.f64 1 (/.f64 y z))

eval37.0ms (0.6%)

Compiler

Compiled 2275 to 1112 computations (51.1% saved)

prune60.0ms (1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New12011131
Fresh000
Picked011
Done000
Total12012132
Error
0b
Counts
132 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
7.4b
(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y))
27.3b
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
37.7b
(+.f64 y x)
46.0b
x
39.1b
(neg.f64 z)
35.7b
(/.f64 x (-.f64 1 (/.f64 y z)))
18.4b
(/.f64 (+.f64 x y) (*.f64 (-.f64 1 (pow.f64 (/.f64 y z) 2)) (/.f64 1 (+.f64 1 (/.f64 y z)))))
33.5b
(/.f64 (+.f64 x y) (/.f64 (neg.f64 y) z))
7.4b
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
34.5b
(/.f64 y (-.f64 1 (/.f64 y z)))
29.2b
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y))
31.9b
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
Compiler

Compiled 244 to 165 computations (32.4% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (/.f64 y z))
0.5b
(/.f64 1 (-.f64 1 (/.f64 y z)))
6.7b
(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y))
Compiler

Compiled 36 to 17 computations (52.8% saved)

series6.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

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

rewrite80.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
591×log-prod_binary64
411×pow-prod-down_binary64
310×pow2_binary64
295×fma-def_binary64
216×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
123023
2345423
Stop Event
node limit
Counts
2 → 108
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y))
(/.f64 1 (-.f64 1 (/.f64 y z)))
Outputs
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(/.f64 y z)))) (/.f64 x (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (-.f64 1 (/.f64 y z)))) (sqrt.f64 (/.f64 x (-.f64 1 (/.f64 y z)))) (/.f64 y (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -2))) (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 y z)))) (/.f64 y (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (-.f64 1 (/.f64 y z)) -1/2)) (pow.f64 (-.f64 1 (/.f64 y z)) -1/2) (/.f64 y (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (/.f64 y (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 y (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (/.f64 x (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 x (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -2))) (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 y z)))) (/.f64 x (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (-.f64 1 (/.f64 y z)) -1/2)) (pow.f64 (-.f64 1 (/.f64 y z)) -1/2) (/.f64 x (-.f64 1 (/.f64 y z))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 y z)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 y z)))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -1/2) (pow.f64 (-.f64 1 (/.f64 y z)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) -2) (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 y z) 3))) (fma.f64 (/.f64 y z) (+.f64 1 (/.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 y z) 2))) (+.f64 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y z)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y z)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 y z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 y z))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 1 (/.f64 y z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 y) z))) 1))))))

simplify109.0ms (1.9%)

Algorithm
egg-herbie
Rules
763×fma-def_binary64
619×times-frac_binary64
436×div-sub_binary64
383×associate-/l*_binary64
302×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01331490
14241426
215161169
377391160
Stop Event
node limit
Counts
168 → 160
Calls
Call 1
Inputs
x
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x)
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (*.f64 -1 (/.f64 x z)))) z) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x))
(+.f64 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 1 (*.f64 -1 (/.f64 x z)))) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (*.f64 -1 (/.f64 x z)))) z) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x)))
(*.f64 -1 z)
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) (/.f64 (pow.f64 z 2) y))
(-.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) z) (pow.f64 y 2)))) (/.f64 (pow.f64 z 2) y))
(-.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) (pow.f64 z 2)) (pow.f64 y 3)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) z) (pow.f64 y 2))))) (/.f64 (pow.f64 z 2) y))
(*.f64 -1 z)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (*.f64 -1 z))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) z) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) (pow.f64 z 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) z) (pow.f64 y 2))))))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) (pow.f64 z 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) (pow.f64 z 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 1 (pow.f64 y 3))) (pow.f64 z 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y)))))
(+.f64 y x)
(+.f64 (/.f64 (*.f64 y (+.f64 y x)) z) (+.f64 y x))
(+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 y (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y x)) (pow.f64 z 2)) x)))
(+.f64 (/.f64 (*.f64 (+.f64 y x) (pow.f64 y 2)) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 y x)) (pow.f64 z 3)) (+.f64 y x))))
(+.f64 y x)
(+.f64 (/.f64 (*.f64 y (+.f64 y x)) z) (+.f64 y x))
(+.f64 (/.f64 (*.f64 (+.f64 y x) (pow.f64 y 2)) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 y x)))
(+.f64 (/.f64 (*.f64 (+.f64 y x) y) z) (+.f64 y (+.f64 (/.f64 (*.f64 (+.f64 y x) (pow.f64 y 3)) (pow.f64 z 3)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y x)) (pow.f64 z 2)) x))))
(/.f64 y (-.f64 1 (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(/.f64 x (-.f64 1 (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(/.f64 x (-.f64 1 (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
1
(+.f64 1 (/.f64 y z))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z))))
(*.f64 -1 (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))))
(*.f64 -1 (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))))
(*.f64 -1 (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))))
1
(+.f64 1 (/.f64 y z))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z))))
1
(+.f64 1 (/.f64 y z))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z))))
Outputs
x
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x)
(fma.f64 y (-.f64 1 (neg.f64 (/.f64 x z))) x)
(fma.f64 y (+.f64 1 (/.f64 x z)) x)
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (*.f64 -1 (/.f64 x z)))) z) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x))
(+.f64 (fma.f64 y (-.f64 1 (neg.f64 (/.f64 x z))) x) (/.f64 (*.f64 y y) (/.f64 z (-.f64 1 (neg.f64 (/.f64 x z))))))
(+.f64 (fma.f64 y (+.f64 1 (/.f64 x z)) x) (*.f64 (/.f64 (*.f64 y y) z) (+.f64 1 (/.f64 x z))))
(+.f64 x (*.f64 (+.f64 1 (/.f64 x z)) (+.f64 y (*.f64 (/.f64 y z) y))))
(+.f64 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 1 (*.f64 -1 (/.f64 x z)))) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (*.f64 -1 (/.f64 x z)))) z) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (/.f64 x z)))) x)))
(+.f64 (+.f64 (fma.f64 y (-.f64 1 (neg.f64 (/.f64 x z))) x) (/.f64 (*.f64 y y) (/.f64 z (-.f64 1 (neg.f64 (/.f64 x z)))))) (/.f64 (pow.f64 y 3) (/.f64 (*.f64 z z) (-.f64 1 (neg.f64 (/.f64 x z))))))
(+.f64 (fma.f64 y (+.f64 1 (/.f64 x z)) x) (+.f64 (*.f64 (/.f64 (*.f64 y y) z) (+.f64 1 (/.f64 x z))) (*.f64 (/.f64 (pow.f64 y 3) (*.f64 z z)) (+.f64 1 (/.f64 x z)))))
(+.f64 (fma.f64 y (+.f64 1 (/.f64 x z)) x) (*.f64 (+.f64 1 (/.f64 x z)) (+.f64 (/.f64 (pow.f64 y 3) (*.f64 z z)) (*.f64 (/.f64 y z) y))))
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y))) (/.f64 (pow.f64 z 2) y))
(-.f64 (*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) (/.f64 (*.f64 z z) y))
(-.f64 (-.f64 (neg.f64 z) (*.f64 (/.f64 z y) x)) (/.f64 z (/.f64 y z)))
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y))
(-.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) z) (pow.f64 y 2)))) (/.f64 (pow.f64 z 2) y))
(-.f64 (fma.f64 -1 z (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (*.f64 y y) z)))) (/.f64 (*.f64 z z) y))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 x z (*.f64 z z))) (/.f64 (*.f64 y y) z)) (*.f64 (/.f64 z y) x)) z) (/.f64 z (/.f64 y z)))
(-.f64 (*.f64 (+.f64 (/.f64 z y) 1) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)) z)
(-.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) (pow.f64 z 2)) (pow.f64 y 3)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 z x)) (pow.f64 z 2)) z) (pow.f64 y 2))))) (/.f64 (pow.f64 z 2) y))
(-.f64 (fma.f64 -1 z (fma.f64 -1 (/.f64 z (/.f64 y x)) (+.f64 (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (*.f64 y y) z)) (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (pow.f64 y 3) (*.f64 z z)))))) (/.f64 (*.f64 z z) y))
(-.f64 (+.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (-.f64 (-.f64 (neg.f64 z) (*.f64 (/.f64 (fma.f64 x z (*.f64 z z)) (*.f64 y y)) z)) (*.f64 (/.f64 (fma.f64 x z (*.f64 z z)) (pow.f64 y 3)) (*.f64 z z)))) (/.f64 z (/.f64 y z)))
(-.f64 (*.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (*.f64 (+.f64 (/.f64 z y) 1) (/.f64 z y))) (+.f64 z (/.f64 (*.f64 z (+.f64 x z)) y)))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (*.f64 -1 z))
(-.f64 (*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x)))) (/.f64 (*.f64 z z) y))
(-.f64 (-.f64 (neg.f64 z) (*.f64 (/.f64 z y) x)) (/.f64 z (/.f64 y z)))
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) y)) (+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 z x) (*.f64 -1 (pow.f64 z 2))) z) (pow.f64 y 2)))))
(-.f64 (fma.f64 -1 z (fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (*.f64 z z)) (/.f64 (*.f64 y y) z)))) (/.f64 (*.f64 z z) y))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 x z (*.f64 z z))) (/.f64 (*.f64 y y) z)) (*.f64 (/.f64 z y) x)) z) (/.f64 z (/.f64 y z)))
(-.f64 (*.f64 (+.f64 (/.f64 z y) 1) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)) z)
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(*.f64 (+.f64 1 (/.f64 y z)) (+.f64 x y))
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(+.f64 y (+.f64 (+.f64 (+.f64 x (*.f64 (/.f64 (*.f64 y y) z) (/.f64 (+.f64 x y) z))) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 x y))) (*.f64 (/.f64 y z) (+.f64 x y))))
(+.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 y z) 3)) (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 (+.f64 1 (/.f64 y z)) (/.f64 y z))))
(/.f64 y (-.f64 1 (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
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(/.f64 x (-.f64 1 (/.f64 y z)))
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(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
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(/.f64 x (-.f64 1 (/.f64 y z)))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 1 (/.f64 y z))) (/.f64 y (-.f64 1 (/.f64 y z))))
(+.f64 (/.f64 y (-.f64 1 (/.f64 y z))) (/.f64 x (-.f64 1 (/.f64 y z))))
1
(+.f64 1 (/.f64 y z))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z)))
(+.f64 (+.f64 1 (/.f64 (*.f64 y y) (*.f64 z z))) (/.f64 y z))
(+.f64 (/.f64 y z) (+.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 y z)) (/.f64 y z)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z))))
(+.f64 (+.f64 (+.f64 1 (/.f64 (*.f64 y y) (*.f64 z z))) (/.f64 y z)) (/.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (+.f64 (/.f64 y z) (+.f64 1 (*.f64 (/.f64 y z) (/.f64 y z)))) (/.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 y z)) (/.f64 y z))) (pow.f64 (/.f64 y z) 3))
(*.f64 -1 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (/.f64 z y)))
(neg.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (/.f64 z y))))
(*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 -1 (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))
(-.f64 (neg.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (/.f64 z y)))) (/.f64 (pow.f64 z 3) (pow.f64 y 3)))
(-.f64 (*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y))) (pow.f64 (/.f64 z y) 3))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))))
(fma.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 y 4)) (fma.f64 -1 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 -1 (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 3) (pow.f64 y 3))))))
(-.f64 (-.f64 (neg.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (/.f64 z y)))) (/.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 (pow.f64 z 4) (pow.f64 y 4)))
(-.f64 (*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y))) (+.f64 (pow.f64 (/.f64 z y) 3) (/.f64 (pow.f64 z 4) (pow.f64 y 4))))
(-.f64 (*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y))) (+.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 (/.f64 z y) 4)))
(*.f64 -1 (/.f64 z y))
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(*.f64 -1 (+.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (/.f64 z y)))
(neg.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (/.f64 z y))))
(*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 -1 (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))
(-.f64 (neg.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (/.f64 z y)))) (/.f64 (pow.f64 z 3) (pow.f64 y 3)))
(-.f64 (*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y))) (pow.f64 (/.f64 z y) 3))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))))
(fma.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 y 4)) (fma.f64 -1 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 -1 (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 3) (pow.f64 y 3))))))
(-.f64 (-.f64 (neg.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (/.f64 z y)))) (/.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 (pow.f64 z 4) (pow.f64 y 4)))
(-.f64 (*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y))) (+.f64 (pow.f64 (/.f64 z y) 3) (/.f64 (pow.f64 z 4) (pow.f64 y 4))))
(-.f64 (*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y))) (+.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 (/.f64 z y) 4)))
(*.f64 -1 (/.f64 z y))
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(*.f64 -1 (+.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (/.f64 z y)))
(neg.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (/.f64 z y))))
(*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 -1 (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))
(-.f64 (neg.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (/.f64 z y)))) (/.f64 (pow.f64 z 3) (pow.f64 y 3)))
(-.f64 (*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y))) (pow.f64 (/.f64 z y) 3))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))))
(fma.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 y 4)) (fma.f64 -1 (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 -1 (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 3) (pow.f64 y 3))))))
(-.f64 (-.f64 (neg.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (/.f64 z y)))) (/.f64 (pow.f64 z 3) (pow.f64 y 3))) (/.f64 (pow.f64 z 4) (pow.f64 y 4)))
(-.f64 (*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y))) (+.f64 (pow.f64 (/.f64 z y) 3) (/.f64 (pow.f64 z 4) (pow.f64 y 4))))
(-.f64 (*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y))) (+.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 (/.f64 z y) 4)))
1
(+.f64 1 (/.f64 y z))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z)))
(+.f64 (+.f64 1 (/.f64 (*.f64 y y) (*.f64 z z))) (/.f64 y z))
(+.f64 (/.f64 y z) (+.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 y z)) (/.f64 y z)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z))))
(+.f64 (+.f64 (+.f64 1 (/.f64 (*.f64 y y) (*.f64 z z))) (/.f64 y z)) (/.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (+.f64 (/.f64 y z) (+.f64 1 (*.f64 (/.f64 y z) (/.f64 y z)))) (/.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 y z)) (/.f64 y z))) (pow.f64 (/.f64 y z) 3))
1
(+.f64 1 (/.f64 y z))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z)))
(+.f64 (+.f64 1 (/.f64 (*.f64 y y) (*.f64 z z))) (/.f64 y z))
(+.f64 (/.f64 y z) (+.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 y z)) (/.f64 y z)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 y z))))
(+.f64 (+.f64 (+.f64 1 (/.f64 (*.f64 y y) (*.f64 z z))) (/.f64 y z)) (/.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (+.f64 (/.f64 y z) (+.f64 1 (*.f64 (/.f64 y z) (/.f64 y z)))) (/.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 y z)) (/.f64 y z))) (pow.f64 (/.f64 y z) 3))

localize4.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (/.f64 y z))
3.5b
(/.f64 x (-.f64 1 (/.f64 y z)))
Compiler

Compiled 22 to 10 computations (54.5% saved)

series7.0ms (0.1%)

Counts
1 → 24
Calls

9 calls:

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

rewrite96.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
449×log-prod_binary64
361×prod-diff_binary64
350×exp-prod_binary64
279×prod-exp_binary64
237×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117310
2240710
Stop Event
node limit
Counts
1 → 54
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 (/.f64 y z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 (/.f64 y z))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 (/.f64 y z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 1 (/.f64 y z)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y z)) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y z)) x) -2)) (cbrt.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 1 (/.f64 y z)))) (sqrt.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) -2) (/.f64 x (cbrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) 2)) (cbrt.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (/.f64 y z)) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (/.f64 y z)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 (/.f64 y z) 3))) (fma.f64 (/.f64 y z) (+.f64 1 (/.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 (/.f64 y z) 2))) (+.f64 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y z)) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y z)) x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (/.f64 y z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (/.f64 y z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (/.f64 y z)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (/.f64 y z)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 (/.f64 y z)) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (-.f64 1 (/.f64 y z))))) 2)) (cbrt.f64 (log.f64 (/.f64 x (-.f64 1 (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))) (sqrt.f64 (log.f64 (/.f64 x (-.f64 1 (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y z)) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y z)) x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (/.f64 y z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 1 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 (/.f64 y z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y z)) x) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 1 (/.f64 y z))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (-.f64 1 (/.f64 y z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 y z)) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 (/.f64 y z)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log1p.f64 (/.f64 (neg.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (*.f64 (log1p.f64 (/.f64 (neg.f64 y) z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log1p.f64 (/.f64 (neg.f64 y) z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log1p.f64 (/.f64 (neg.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 y) z))) (*.f64 (log.f64 x) 1)))))))

simplify69.0ms (1.2%)

Algorithm
egg-herbie
Rules
744×distribute-rgt-neg-in_binary64
627×distribute-lft-neg-in_binary64
530×distribute-rgt-out--_binary64
445×associate-/l/_binary64
426×associate-/r/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
043624
1133606
2452528
32264435
45223396
Stop Event
node limit
Counts
78 → 69
Calls
Call 1
Inputs
x
(+.f64 (/.f64 (*.f64 y x) z) x)
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) x))
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 z 3)) x)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 4) x) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3))))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 4) x) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3))))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 4) x) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3))))))
x
(+.f64 (/.f64 (*.f64 y x) z) x)
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) x))
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 z 3)) x)))
x
(+.f64 (/.f64 (*.f64 y x) z) x)
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) x))
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 z 3)) x)))
Outputs
x
(+.f64 (/.f64 (*.f64 y x) z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 x (/.f64 z y)))
(fma.f64 (/.f64 y z) x x)
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) x))
(+.f64 (/.f64 (*.f64 x y) z) (+.f64 x (/.f64 (*.f64 x (*.f64 y y)) (*.f64 z z))))
(+.f64 (+.f64 x (/.f64 x (/.f64 z y))) (*.f64 (/.f64 x z) (/.f64 (*.f64 y y) z)))
(fma.f64 (/.f64 x z) (/.f64 y (/.f64 z y)) (fma.f64 (/.f64 y z) x x))
(+.f64 x (*.f64 (/.f64 y z) (fma.f64 (/.f64 y z) x x)))
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 z 3)) x)))
(+.f64 (/.f64 (*.f64 x y) z) (+.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 z z)) (+.f64 x (/.f64 (*.f64 x (pow.f64 y 3)) (pow.f64 z 3)))))
(+.f64 (+.f64 (+.f64 x (/.f64 x (/.f64 z y))) (*.f64 (/.f64 x z) (/.f64 (*.f64 y y) z))) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) x))
(fma.f64 (/.f64 x z) (/.f64 y (/.f64 z y)) (fma.f64 (/.f64 y z) x (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) x x)))
(+.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) x x) (*.f64 (/.f64 y z) (fma.f64 (/.f64 y z) x x)))
(*.f64 (+.f64 1 (/.f64 y (*.f64 z (/.f64 z y)))) (fma.f64 (/.f64 y z) x x))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(/.f64 z (/.f64 y (neg.f64 x)))
(*.f64 x (neg.f64 (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))))
(fma.f64 -1 (/.f64 z (/.f64 y x)) (neg.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y y) x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (*.f64 (/.f64 x y) (/.f64 (*.f64 z z) y)))
(neg.f64 (*.f64 x (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (/.f64 z y)))))
(*.f64 (/.f64 (*.f64 x z) y) (-.f64 -1 (/.f64 z y)))
(*.f64 x (*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 z (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y y) x)) (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 y 3) x)))))
(-.f64 (-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (*.f64 (/.f64 x y) (/.f64 (*.f64 z z) y))) (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 z 3))))
(neg.f64 (fma.f64 (/.f64 z y) x (*.f64 x (+.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (/.f64 (pow.f64 z 3) (pow.f64 y 3))))))
(neg.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 z y) 3) (*.f64 (+.f64 (/.f64 z y) 1) (/.f64 z y)))))
(*.f64 x (neg.f64 (+.f64 (pow.f64 (/.f64 z y) 3) (*.f64 (/.f64 z y) (+.f64 (/.f64 z y) 1)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 4) x) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3))))))
(fma.f64 -1 (/.f64 z (/.f64 y x)) (fma.f64 -1 (/.f64 (pow.f64 z 4) (/.f64 (pow.f64 y 4) x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y y) x)) (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 y 3) x))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 z z)) (/.f64 y (/.f64 x y))) (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 z 3)))) (*.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 4)) x)) (*.f64 (/.f64 z y) x))
(-.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (/.f64 (pow.f64 z 3) (pow.f64 y 3))))) (*.f64 x (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 4) (pow.f64 y 4)))))
(-.f64 (*.f64 (/.f64 (*.f64 x z) y) (-.f64 -1 (/.f64 z y))) (*.f64 x (+.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 4)) (pow.f64 (/.f64 z y) 3))))
(*.f64 (*.f64 x (*.f64 (/.f64 z y) (+.f64 (/.f64 z y) 1))) (-.f64 -1 (*.f64 (/.f64 z y) (/.f64 z y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(/.f64 z (/.f64 y (neg.f64 x)))
(*.f64 x (neg.f64 (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))))
(fma.f64 -1 (/.f64 z (/.f64 y x)) (neg.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y y) x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (*.f64 (/.f64 x y) (/.f64 (*.f64 z z) y)))
(neg.f64 (*.f64 x (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (/.f64 z y)))))
(*.f64 (/.f64 (*.f64 x z) y) (-.f64 -1 (/.f64 z y)))
(*.f64 x (*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 z (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y y) x)) (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 y 3) x)))))
(-.f64 (-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (*.f64 (/.f64 x y) (/.f64 (*.f64 z z) y))) (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 z 3))))
(neg.f64 (fma.f64 (/.f64 z y) x (*.f64 x (+.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (/.f64 (pow.f64 z 3) (pow.f64 y 3))))))
(neg.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 z y) 3) (*.f64 (+.f64 (/.f64 z y) 1) (/.f64 z y)))))
(*.f64 x (neg.f64 (+.f64 (pow.f64 (/.f64 z y) 3) (*.f64 (/.f64 z y) (+.f64 (/.f64 z y) 1)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 4) x) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3))))))
(fma.f64 -1 (/.f64 z (/.f64 y x)) (fma.f64 -1 (/.f64 (pow.f64 z 4) (/.f64 (pow.f64 y 4) x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y y) x)) (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 y 3) x))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 z z)) (/.f64 y (/.f64 x y))) (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 z 3)))) (*.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 4)) x)) (*.f64 (/.f64 z y) x))
(-.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (/.f64 (pow.f64 z 3) (pow.f64 y 3))))) (*.f64 x (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 4) (pow.f64 y 4)))))
(-.f64 (*.f64 (/.f64 (*.f64 x z) y) (-.f64 -1 (/.f64 z y))) (*.f64 x (+.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 4)) (pow.f64 (/.f64 z y) 3))))
(*.f64 (*.f64 x (*.f64 (/.f64 z y) (+.f64 (/.f64 z y) 1))) (-.f64 -1 (*.f64 (/.f64 z y) (/.f64 z y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(/.f64 z (/.f64 y (neg.f64 x)))
(*.f64 x (neg.f64 (/.f64 z y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))))
(fma.f64 -1 (/.f64 z (/.f64 y x)) (neg.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y y) x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (*.f64 (/.f64 x y) (/.f64 (*.f64 z z) y)))
(neg.f64 (*.f64 x (+.f64 (/.f64 z y) (*.f64 (/.f64 z y) (/.f64 z y)))))
(*.f64 (/.f64 (*.f64 x z) y) (-.f64 -1 (/.f64 z y)))
(*.f64 x (*.f64 (/.f64 z y) (-.f64 -1 (/.f64 z y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 z (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y y) x)) (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 y 3) x)))))
(-.f64 (-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (*.f64 (/.f64 x y) (/.f64 (*.f64 z z) y))) (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 z 3))))
(neg.f64 (fma.f64 (/.f64 z y) x (*.f64 x (+.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (/.f64 (pow.f64 z 3) (pow.f64 y 3))))))
(neg.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 z y) 3) (*.f64 (+.f64 (/.f64 z y) 1) (/.f64 z y)))))
(*.f64 x (neg.f64 (+.f64 (pow.f64 (/.f64 z y) 3) (*.f64 (/.f64 z y) (+.f64 (/.f64 z y) 1)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 4) x) (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) x) (pow.f64 y 3))))))
(fma.f64 -1 (/.f64 z (/.f64 y x)) (fma.f64 -1 (/.f64 (pow.f64 z 4) (/.f64 (pow.f64 y 4) x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y y) x)) (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 y 3) x))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 z z)) (/.f64 y (/.f64 x y))) (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 z 3)))) (*.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 4)) x)) (*.f64 (/.f64 z y) x))
(-.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (/.f64 (pow.f64 z 3) (pow.f64 y 3))))) (*.f64 x (+.f64 (/.f64 z y) (/.f64 (pow.f64 z 4) (pow.f64 y 4)))))
(-.f64 (*.f64 (/.f64 (*.f64 x z) y) (-.f64 -1 (/.f64 z y))) (*.f64 x (+.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 4)) (pow.f64 (/.f64 z y) 3))))
(*.f64 (*.f64 x (*.f64 (/.f64 z y) (+.f64 (/.f64 z y) 1))) (-.f64 -1 (*.f64 (/.f64 z y) (/.f64 z y))))
x
(+.f64 (/.f64 (*.f64 y x) z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 x (/.f64 z y)))
(fma.f64 (/.f64 y z) x x)
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) x))
(+.f64 (/.f64 (*.f64 x y) z) (+.f64 x (/.f64 (*.f64 x (*.f64 y y)) (*.f64 z z))))
(+.f64 (+.f64 x (/.f64 x (/.f64 z y))) (*.f64 (/.f64 x z) (/.f64 (*.f64 y y) z)))
(fma.f64 (/.f64 x z) (/.f64 y (/.f64 z y)) (fma.f64 (/.f64 y z) x x))
(+.f64 x (*.f64 (/.f64 y z) (fma.f64 (/.f64 y z) x x)))
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 z 3)) x)))
(+.f64 (/.f64 (*.f64 x y) z) (+.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 z z)) (+.f64 x (/.f64 (*.f64 x (pow.f64 y 3)) (pow.f64 z 3)))))
(+.f64 (+.f64 (+.f64 x (/.f64 x (/.f64 z y))) (*.f64 (/.f64 x z) (/.f64 (*.f64 y y) z))) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) x))
(fma.f64 (/.f64 x z) (/.f64 y (/.f64 z y)) (fma.f64 (/.f64 y z) x (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) x x)))
(+.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) x x) (*.f64 (/.f64 y z) (fma.f64 (/.f64 y z) x x)))
(*.f64 (+.f64 1 (/.f64 y (*.f64 z (/.f64 z y)))) (fma.f64 (/.f64 y z) x x))
x
(+.f64 (/.f64 (*.f64 y x) z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 x (/.f64 z y)))
(fma.f64 (/.f64 y z) x x)
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) x))
(+.f64 (/.f64 (*.f64 x y) z) (+.f64 x (/.f64 (*.f64 x (*.f64 y y)) (*.f64 z z))))
(+.f64 (+.f64 x (/.f64 x (/.f64 z y))) (*.f64 (/.f64 x z) (/.f64 (*.f64 y y) z)))
(fma.f64 (/.f64 x z) (/.f64 y (/.f64 z y)) (fma.f64 (/.f64 y z) x x))
(+.f64 x (*.f64 (/.f64 y z) (fma.f64 (/.f64 y z) x x)))
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 z 3)) x)))
(+.f64 (/.f64 (*.f64 x y) z) (+.f64 (/.f64 (*.f64 x (*.f64 y y)) (*.f64 z z)) (+.f64 x (/.f64 (*.f64 x (pow.f64 y 3)) (pow.f64 z 3)))))
(+.f64 (+.f64 (+.f64 x (/.f64 x (/.f64 z y))) (*.f64 (/.f64 x z) (/.f64 (*.f64 y y) z))) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) x))
(fma.f64 (/.f64 x z) (/.f64 y (/.f64 z y)) (fma.f64 (/.f64 y z) x (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) x x)))
(+.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) x x) (*.f64 (/.f64 y z) (fma.f64 (/.f64 y z) x x)))
(*.f64 (+.f64 1 (/.f64 y (*.f64 z (/.f64 z y)))) (fma.f64 (/.f64 y z) x x))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 y x) y)
2.2b
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
Compiler

Compiled 24 to 7 computations (70.8% saved)

series9.0ms (0.2%)

Counts
2 → 60
Calls

15 calls:

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

rewrite126.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
979×pow1_binary64
911×add-log-exp_binary64
910×log1p-expm1-u_binary64
910×expm1-log1p-u_binary64
97×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
118117
2273817
Stop Event
node limit
Counts
2 → 58
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(/.f64 (+.f64 y x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 y x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) (/.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y x) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (+.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 y x) z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 y x) z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 y x) z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 y x)) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 (+.f64 y x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y x) (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y x) (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 (+.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y x) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 (+.f64 y x) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 y x) (/.f64 y z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 y x) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) y)) 2) (cbrt.f64 (/.f64 (+.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (*.f64 (cbrt.f64 (+.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 y x) y)) (sqrt.f64 (/.f64 (+.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 y x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y x)) 1) (/.f64 (sqrt.f64 (+.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 y x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 y x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 y x) y)))))))

simplify148.0ms (2.6%)

Algorithm
egg-herbie
Rules
874×fma-neg_binary64
865×fma-def_binary64
493×times-frac_binary64
442×div-sub_binary64
344×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017567
141537
289477
3199477
4434477
5852477
62006477
74756477
86892477
97571477
107812477
117946477
127958477
137958477
Stop Event
node limit
Counts
118 → 69
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(/.f64 x y)
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(/.f64 x y)
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(/.f64 x y)
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
(+.f64 1 (/.f64 x y))
Outputs
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 z (neg.f64 x)) y)
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 z (/.f64 x (neg.f64 y)))
(*.f64 x (/.f64 z (neg.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 z (neg.f64 x)) y)
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 z (/.f64 x (neg.f64 y)))
(*.f64 x (/.f64 z (neg.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 z (neg.f64 x)) y)
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 z (/.f64 x (neg.f64 y)))
(*.f64 x (/.f64 z (neg.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (+.f64 z (/.f64 z (/.f64 y x))))
(-.f64 (/.f64 (neg.f64 z) (/.f64 y x)) z)
(neg.f64 (fma.f64 (/.f64 z y) x z))
(*.f64 z (-.f64 -1 (/.f64 x y)))
(neg.f64 (fma.f64 z (/.f64 x y) z))
(/.f64 x y)
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
1
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
1
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
1
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(/.f64 x y)
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(/.f64 x y)
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 y x) z)
9.9b
(/.f64 (*.f64 (+.f64 y x) z) y)
Compiler

Compiled 31 to 9 computations (71% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

18 calls:

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

rewrite82.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
974×pow1_binary64
908×add-log-exp_binary64
908×log1p-expm1-u_binary64
908×expm1-log1p-u_binary64
84×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115617
2237517
Stop Event
node limit
Counts
2 → 64
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 y x) z) y)
(*.f64 (+.f64 y x) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 y x) y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y x) (/.f64 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y x) (*.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (+.f64 y x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y x) z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 y x) y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 y x) y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 y x) y) z)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 y x) y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 y x) y) z)) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 y x) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) (*.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 y x) y) z)) (sqrt.f64 (*.f64 (/.f64 (+.f64 y x) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y x) (neg.f64 z)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (+.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y x) 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 (+.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y x) y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 y x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (+.f64 y x) z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 y x) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y x) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (+.f64 y x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (+.f64 y x) z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 y x) y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 y x) y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 y x) y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (+.f64 y x) z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 y x) z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 y x) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 y x) y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 y x) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 y x) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 y x) y) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 3)) z) (fma.f64 y y (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) z) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y y (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (+.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y x) z)))))))

simplify77.0ms (1.3%)

Algorithm
egg-herbie
Rules
87×times-frac_binary64
52×associate-/l*_binary64
49×fma-def_binary64
27×associate-/r*_binary64
25×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
09372
116354
227318
333318
439318
544318
650318
760318
8100318
9121318
10193318
11301318
12369318
13389318
14417318
15417318
Stop Event
saturated
Counts
112 → 74
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
z
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
z
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
z
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 z (/.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x z)
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 z (/.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x z)
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 z (/.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x z)
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
z
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 z (/.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x z)
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 z (/.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x z)
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 z (/.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x z)
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
z
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 z (/.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x z)
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 z (/.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x z)
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 z (/.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x z)
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
z
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 z (/.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x z)
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 z (/.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x z)
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 z (/.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x z)
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 z (/.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x z)
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 z (/.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x z)
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 z (/.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x z)
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 z (/.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x z)
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 z (/.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x z)
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
(+.f64 (/.f64 (*.f64 z x) y) z)
(+.f64 z (/.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x z)
(fma.f64 x (/.f64 z y) z)
(fma.f64 z (/.f64 x y) z)
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))

eval475.0ms (8.2%)

Compiler

Compiled 7177 to 3458 computations (51.8% saved)

prune121.0ms (2.1%)

Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New46410474
Fresh606
Picked101
Done055
Total47115486
Error
0b
Counts
486 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
7.4b
(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y))
27.3b
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
27.9b
(*.f64 -1 (+.f64 (/.f64 (*.f64 z x) y) z))
51.0b
(*.f64 (/.f64 x y) (neg.f64 z))
39.1b
(neg.f64 z)
35.7b
(/.f64 x (-.f64 1 (/.f64 y z)))
37.7b
(+.f64 y x)
29.2b
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y))
34.5b
(/.f64 y (-.f64 1 (/.f64 y z)))
51.8b
(/.f64 x (/.f64 (neg.f64 y) z))
32.9b
(*.f64 (/.f64 (neg.f64 z) y) (+.f64 x y))
50.4b
(*.f64 -1 (/.f64 (*.f64 z x) y))
51.7b
(*.f64 x (/.f64 z (neg.f64 y)))
46.0b
x
7.4b
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
Compiler

Compiled 234 to 157 computations (32.9% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 (*.f64 z x) y) z)
5.4b
(/.f64 (*.f64 z x) y)
Compiler

Compiled 31 to 9 computations (71% saved)

series10.0ms (0.2%)

Counts
2 → 18
Calls

18 calls:

TimeVariablePointExpression
3.0ms
z
@-inf
(/.f64 (*.f64 z x) y)
1.0ms
z
@0
(/.f64 (*.f64 z x) y)
1.0ms
x
@0
(/.f64 (*.f64 z x) y)
1.0ms
y
@0
(/.f64 (*.f64 z x) y)
1.0ms
y
@inf
(/.f64 (*.f64 z x) y)

rewrite74.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
967×pow1_binary64
901×add-log-exp_binary64
901×log1p-expm1-u_binary64
901×expm1-log1p-u_binary64
84×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115617
2237417
Stop Event
node limit
Counts
2 → 76
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) 2) (cbrt.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (/.f64 y z))) (sqrt.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 y z)) 1)))) (#(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 pow.f64 (pow.f64 (/.f64 x (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y z) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 z x) (neg.f64 y)))))) (#(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 (exp.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 y z)) 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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 z (/.f64 x (/.f64 y z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x (/.f64 y z)) 2) (-.f64 (/.f64 x (/.f64 y z)) z)) (/.f64 (*.f64 z z) (-.f64 (/.f64 x (/.f64 y z)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z (/.f64 x (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 z (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 z (/.f64 x (/.f64 y z)))) (pow.f64 (cbrt.f64 (+.f64 z (/.f64 x (/.f64 y z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 z (/.f64 x (/.f64 y z)))) 2) (cbrt.f64 (+.f64 z (/.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 z (/.f64 x (/.f64 y z)))) (sqrt.f64 (+.f64 z (/.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 y z)) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (/.f64 y z)) 2) (*.f64 z (-.f64 z (/.f64 x (/.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 y z)) 2) (*.f64 z z)) (/.f64 1 (-.f64 (/.f64 x (/.f64 y z)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 y z)) 2) (*.f64 z (-.f64 z (/.f64 x (/.f64 y z))))) (+.f64 (pow.f64 (/.f64 x (/.f64 y z)) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 x (/.f64 y z)) z) (-.f64 (pow.f64 (/.f64 x (/.f64 y z)) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 y z)) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (/.f64 x (/.f64 y z)) 2) (*.f64 z (-.f64 z (/.f64 x (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 y z)) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (/.f64 x (/.f64 y z)) 2) (/.f64 z (/.f64 (/.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 y z)) 2) (*.f64 z z)) (-.f64 (/.f64 x (/.f64 y z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 y z)) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 y z)) 2) (*.f64 z (-.f64 z (/.f64 x (/.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (/.f64 y z)) 2) (*.f64 z z))) (neg.f64 (-.f64 (/.f64 x (/.f64 y z)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (/.f64 x (/.f64 y z)) 2)) (-.f64 z (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z (/.f64 x (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 z (/.f64 x (/.f64 y z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 z (/.f64 x (/.f64 y z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 z (/.f64 x (/.f64 y z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 z (/.f64 x (/.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 z (/.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 z (/.f64 x (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 z (/.f64 x (/.f64 y z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 z (/.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 z (/.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 z (/.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z x) (/.f64 1 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (/.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (/.f64 y z)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) 2) (cbrt.f64 (/.f64 x (/.f64 y z))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (/.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (/.f64 y z))) (sqrt.f64 (/.f64 x (/.f64 y z))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (/.f64 x (/.f64 y z)))))))

simplify38.0ms (0.6%)

Algorithm
egg-herbie
Rules
145×fma-neg_binary64
129×fma-def_binary64
51×associate-/l*_binary64
47×associate-*l*_binary64
44×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015144
134144
277120
3175120
4383120
5721120
6960120
71039120
81053120
91058120
Stop Event
saturated
Counts
94 → 82
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (/.f64 x y)) z)
(*.f64 (+.f64 1 (/.f64 x y)) z)
(*.f64 (+.f64 1 (/.f64 x y)) z)
(*.f64 (+.f64 1 (/.f64 x y)) z)
(*.f64 (+.f64 1 (/.f64 x y)) z)
(*.f64 (+.f64 1 (/.f64 x y)) z)
(*.f64 (+.f64 1 (/.f64 x y)) z)
(*.f64 (+.f64 1 (/.f64 x y)) z)
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (/.f64 x y)) 1)))
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (/.f64 x y)) 1)))
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (/.f64 x y)) 1)))
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (/.f64 x y)) 1)))
z
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
z
z
Outputs
(*.f64 (+.f64 1 (/.f64 x y)) z)
(fma.f64 (/.f64 x y) z z)
(fma.f64 x (/.f64 z y) z)
(*.f64 (+.f64 1 (/.f64 x y)) z)
(fma.f64 (/.f64 x y) z z)
(fma.f64 x (/.f64 z y) z)
(*.f64 (+.f64 1 (/.f64 x y)) z)
(fma.f64 (/.f64 x y) z z)
(fma.f64 x (/.f64 z y) z)
(*.f64 (+.f64 1 (/.f64 x y)) z)
(fma.f64 (/.f64 x y) z z)
(fma.f64 x (/.f64 z y) z)
(*.f64 (+.f64 1 (/.f64 x y)) z)
(fma.f64 (/.f64 x y) z z)
(fma.f64 x (/.f64 z y) z)
(*.f64 (+.f64 1 (/.f64 x y)) z)
(fma.f64 (/.f64 x y) z z)
(fma.f64 x (/.f64 z y) z)
(*.f64 (+.f64 1 (/.f64 x y)) z)
(fma.f64 (/.f64 x y) z z)
(fma.f64 x (/.f64 z y) z)
(*.f64 (+.f64 1 (/.f64 x y)) z)
(fma.f64 (/.f64 x y) z z)
(fma.f64 x (/.f64 z y) z)
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (/.f64 x y)) 1)))
(*.f64 (+.f64 1 (/.f64 x y)) z)
(fma.f64 (/.f64 x y) z z)
(fma.f64 x (/.f64 z y) z)
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (/.f64 x y)) 1)))
(*.f64 (+.f64 1 (/.f64 x y)) z)
(fma.f64 (/.f64 x y) z z)
(fma.f64 x (/.f64 z y) z)
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (/.f64 x y)) 1)))
(*.f64 (+.f64 1 (/.f64 x y)) z)
(fma.f64 (/.f64 x y) z z)
(fma.f64 x (/.f64 z y) z)
(*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (/.f64 x y)) 1)))
(*.f64 (+.f64 1 (/.f64 x y)) z)
(fma.f64 (/.f64 x y) z z)
(fma.f64 x (/.f64 z y) z)
z
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 x y) z)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 x y) z)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 x y) z)
(*.f64 x (/.f64 z y))
z
z

localize3.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
5.0b
(*.f64 (/.f64 x y) (neg.f64 z))
Compiler

Compiled 17 to 6 computations (64.7% saved)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite54.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
715×pow1_binary64
660×add-log-exp_binary64
659×log1p-expm1-u_binary64
659×expm1-log1p-u_binary64
645×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11507
220887
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (neg.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 x y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) z)))))))

simplify43.0ms (0.8%)

Algorithm
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
saturated
Counts
61 → 27
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
Outputs
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
5.4b
(/.f64 (*.f64 z x) y)
Compiler

Compiled 22 to 8 computations (63.6% saved)

localize19.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
7.9b
(*.f64 (/.f64 (neg.f64 z) y) (+.f64 x y))
Compiler

Compiled 23 to 7 computations (69.6% saved)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite177.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
759×prod-diff_binary64
472×log-prod_binary64
378×pow-prod-down_binary64
266×egg-rr
231×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
118710
2308410
Stop Event
node limit
Counts
1 → 266
Calls
Call 1
Inputs
(*.f64 (/.f64 (neg.f64 z) y) (+.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z y) (+.f64 y x)) (fma.f64 (/.f64 z y) y (*.f64 y (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z y) (+.f64 y x)) (fma.f64 (neg.f64 y) (/.f64 z y) (*.f64 y (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z y) (+.f64 y x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (/.f64 z y)))) (sqrt.f64 (*.f64 y (/.f64 z y))) (*.f64 y (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 z y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x z) y) (*.f64 y (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 z y)) (/.f64 (*.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x z) y) 1) (*.f64 (*.f64 y (/.f64 z y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (*.f64 (/.f64 1 y) x) (neg.f64 (*.f64 (*.f64 (/.f64 1 y) y) z))) (fma.f64 (neg.f64 (*.f64 (/.f64 1 y) y)) z (*.f64 (*.f64 (/.f64 1 y) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 z y) x (neg.f64 (*.f64 (*.f64 (/.f64 1 y) y) z))) (fma.f64 (neg.f64 (*.f64 (/.f64 1 y) y)) z (*.f64 (*.f64 (/.f64 1 y) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 z y) (neg.f64 (*.f64 (*.f64 (/.f64 1 y) y) z))) (fma.f64 (neg.f64 (*.f64 (/.f64 1 y) y)) z (*.f64 (*.f64 (/.f64 1 y) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 (*.f64 x z) y) (neg.f64 (*.f64 (*.f64 (/.f64 1 y) y) z))) (fma.f64 (neg.f64 (*.f64 (/.f64 1 y) y)) z (*.f64 (*.f64 (/.f64 1 y) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 (/.f64 y z) -2)) (*.f64 (cbrt.f64 (/.f64 z y)) x) (neg.f64 (*.f64 (*.f64 (/.f64 1 y) y) z))) (fma.f64 (neg.f64 (*.f64 (/.f64 1 y) y)) z (*.f64 (*.f64 (/.f64 1 y) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 z y)) (neg.f64 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y (*.f64 z (+.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 z y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) (+.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z y)) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z y) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z y) (+.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 (*.f64 x z) y)) (exp.f64 (*.f64 y (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y (/.f64 z y))) (exp.f64 (/.f64 (*.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) (+.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) (+.f64 y x))))))) (#(struct:change #<rule 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(*.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 y z) -2)) (*.f64 (cbrt.f64 (/.f64 z y)) x) (*.f64 y (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 y z) -2)) (*.f64 (cbrt.f64 (/.f64 z y)) y) (/.f64 (*.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 z y)) (*.f64 y (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 z y)) (/.f64 (*.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 z y)) (*.f64 (sqrt.f64 (/.f64 z y)) x) (*.f64 y (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 z y)) (*.f64 (sqrt.f64 (/.f64 z y)) y) (/.f64 (*.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)) (*.f64 y (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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z) y))))))

simplify111.0ms (1.9%)

Algorithm
egg-herbie
Rules
865×fma-def_binary64
518×fma-neg_binary64
493×times-frac_binary64
440×div-sub_binary64
360×distribute-rgt-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
014396
135396
284396
3195396
4432396
5854336
61984336
74863336
86991336
97670336
107911336
Stop Event
node limit
Counts
302 → 273
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
Outputs
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 (neg.f64 z) y) x)
(*.f64 (/.f64 x y) (neg.f64 z))
(/.f64 x (/.f64 y (neg.f64 z)))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 (neg.f64 z) y) x)
(*.f64 (/.f64 x y) (neg.f64 z))
(/.f64 x (/.f64 y (neg.f64 z)))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 (neg.f64 z) y) x)
(*.f64 (/.f64 x y) (neg.f64 z))
(/.f64 x (/.f64 y (neg.f64 z)))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(neg.f64 (/.f64 (+.f64 y x) (/.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) y)
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
(*.f64 (+.f64 y x) (/.f64 (neg.f64 z) y))
(neg.f64 (fma.f64 x (/.f64 z y) z))

eval118.0ms (2%)

Compiler

Compiled 11074 to 3128 computations (71.8% saved)

prune72.0ms (1.2%)

Pruning

16 alts after pruning (7 fresh and 9 done)

PrunedKeptTotal
New4203423
Fresh145
Picked011
Done189
Total42216438
Error
0b
Counts
438 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
7.4b
(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y))
27.3b
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
50.4b
(/.f64 (*.f64 x z) (neg.f64 y))
27.9b
(*.f64 -1 (+.f64 (/.f64 (*.f64 z x) y) z))
51.0b
(*.f64 (/.f64 x y) (neg.f64 z))
39.1b
(neg.f64 z)
35.7b
(/.f64 x (-.f64 1 (/.f64 y z)))
29.2b
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y))
61.9b
(/.f64 x (/.f64 y z))
37.7b
(+.f64 y x)
34.5b
(/.f64 y (-.f64 1 (/.f64 y z)))
51.8b
(/.f64 x (/.f64 (neg.f64 y) z))
32.9b
(*.f64 (/.f64 (neg.f64 z) y) (+.f64 x y))
51.7b
(*.f64 x (/.f64 (neg.f64 z) y))
46.0b
x
7.4b
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
Compiler

Compiled 210 to 140 computations (33.3% saved)

localize20.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y))
6.6b
(/.f64 (*.f64 z (+.f64 x z)) y)
Compiler

Compiled 33 to 8 computations (75.8% saved)

series9.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

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

rewrite82.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
535×log-prod_binary64
358×pow-prod-down_binary64
353×fma-def_binary64
256×pow2_binary64
205×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0925
121323
2358721
Stop Event
node limit
Counts
2 → 175
Calls
Call 1
Inputs
(/.f64 (*.f64 z (+.f64 x z)) y)
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 z y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 z y) (+.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 z y) (+.f64 z x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 z y) (+.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 z y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (/.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (+.f64 z x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z x) (*.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (+.f64 z x)) (/.f64 1 y))))) (#(struct:change #<rule 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(+.f64 z x))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) (+.f64 z x)) 2)) (neg.f64 (cbrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (+.f64 z x))) (*.f64 (sqrt.f64 (*.f64 z (+.f64 z x))) (/.f64 1 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (/.f64 z y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (*.f64 (/.f64 z y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) (sqrt.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) (fma.f64 (neg.f64 (/.f64 1 y)) (*.f64 z (+.f64 z x)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) (sqrt.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) (+.f64 z x)) 2)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) (sqrt.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z)) (+.f64 (*.f64 (/.f64 z y) (+.f64 z x)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x))) (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 (/.f64 z y) (+.f64 z x)) 3)) (/.f64 1 (fma.f64 z z (*.f64 (*.f64 (/.f64 z y) (+.f64 z x)) (fma.f64 (/.f64 z y) (+.f64 z x) z)))) (fma.f64 (neg.f64 (/.f64 1 y)) (*.f64 z (+.f64 z x)) (*.f64 (/.f64 z y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 (/.f64 z y) (+.f64 z 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(2) ((x fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (/.f64 z y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z 1) (/.f64 (+.f64 z x) y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 z x) 1) (/.f64 z y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z y) (+.f64 z x) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 z x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 z (+.f64 z x))) y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 z (+.f64 z x))) 1) (/.f64 (sqrt.f64 (*.f64 z (+.f64 z x))) y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 z x) (cbrt.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 z (+.f64 z x)) (cbrt.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 z x))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 z y) (+.f64 z x))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 z (+.f64 z x))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 z (+.f64 z x))) (cbrt.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (+.f64 z x) (sqrt.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 z x) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (*.f64 z (+.f64 z x)) (sqrt.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 z x))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z (+.f64 z x))) (sqrt.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (/.f64 z y) (+.f64 z x)))) (-.f64 (sqrt.f64 z) (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 (/.f64 z y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (/.f64 z y) (+.f64 z x)))))))

simplify95.0ms (1.6%)

Algorithm
egg-herbie
Rules
596×fma-neg_binary64
379×div-sub_binary64
307×distribute-rgt-out--_binary64
298×distribute-rgt-neg-in_binary64
289×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0331194
11041113
2246769
3578767
41886767
54560767
66971767
Stop Event
node limit
Counts
247 → 199
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(/.f64 (pow.f64 z 2) y)
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(/.f64 (pow.f64 z 2) y)
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(/.f64 (pow.f64 z 2) y)
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(/.f64 (*.f64 z (+.f64 z x)) y)
(/.f64 (*.f64 z (+.f64 z x)) y)
(/.f64 (*.f64 z (+.f64 z x)) y)
(/.f64 (*.f64 z (+.f64 z x)) y)
(/.f64 (*.f64 z (+.f64 z x)) y)
(/.f64 (*.f64 z (+.f64 z x)) y)
(/.f64 (*.f64 z (+.f64 z x)) y)
(/.f64 (*.f64 z (+.f64 z x)) y)
(/.f64 (*.f64 z (+.f64 z x)) y)
(/.f64 (*.f64 z (+.f64 z x)) y)
(/.f64 (*.f64 z (+.f64 z x)) y)
(/.f64 (*.f64 z (+.f64 z x)) y)
(*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y)))
(*.f64 -1 (/.f64 (pow.f64 z 2) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 x y)) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y)))
(*.f64 -1 (/.f64 (pow.f64 z 2) y))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 x y))) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 x y))) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 x y))) z)) (*.f64 -1 (/.f64 (pow.f64 z 2) y)))
(*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (*.f64 -1 (+.f64 z (/.f64 (pow.f64 z 2) y))))
(*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)))
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (pow.f64 z 2) y))
(+.f64 (/.f64 (*.f64 z x) y) (/.f64 (*.f64 z z) y))
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(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z))
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z))
(*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y))
(neg.f64 (/.f64 (*.f64 z (+.f64 z x)) y))
(/.f64 (neg.f64 z) (/.f64 y (+.f64 z x)))
(*.f64 (/.f64 (neg.f64 z) y) (+.f64 z x))
(*.f64 (+.f64 z x) (neg.f64 (/.f64 z y)))
(*.f64 (/.f64 z y) (-.f64 (neg.f64 x) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)))
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y)))
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z))))
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z))
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)))
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y)))
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z))))
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z))
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)))
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y)))
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z))))
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z))
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)))
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y)))
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z))))
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z))
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)))
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y)))
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z))))
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z))
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)))
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y)))
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z))))
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z))
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)))
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y)))
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z))))
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z))
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)))
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y)))
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z))))
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z))
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z))
(+.f64 (*.f64 -1 z) (*.f64 -1 (/.f64 (*.f64 z (+.f64 z x)) y)))
(*.f64 -1 (+.f64 (*.f64 z (+.f64 1 (/.f64 x y))) (/.f64 (*.f64 z z) y)))
(neg.f64 (fma.f64 z (+.f64 1 (/.f64 x y)) (/.f64 z (/.f64 y z))))
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 z x) z))
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.7b
(/.f64 x (/.f64 y z))
Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite57.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
780×pow1_binary64
724×add-log-exp_binary64
724×log1p-expm1-u_binary64
724×expm1-log1p-u_binary64
707×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11317
219157
Stop Event
node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 x (/.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (cbrt.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 x (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y z))) (/.f64 x (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 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 pow.f64 (*.f64 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 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 expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 z y))))))))

simplify14.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06252
19252
213252
316252
417252
Stop Event
saturated
Counts
77 → 42
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.4b
(*.f64 x (/.f64 (neg.f64 z) y))
Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite52.0ms (0.9%)

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

simplify29.0ms (0.5%)

Algorithm
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
saturated
Counts
57 → 23
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
Outputs
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.7b
(/.f64 x (/.f64 (neg.f64 y) z))
Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite51.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
779×pow1_binary64
723×add-log-exp_binary64
722×log1p-expm1-u_binary64
722×expm1-log1p-u_binary64
706×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11567
224287
Stop Event
node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 x (/.f64 (neg.f64 y) z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(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 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 x (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y z))) (/.f64 x (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(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 pow.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 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 expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 x y))))))))

simplify29.0ms (0.5%)

Algorithm
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
saturated
Counts
77 → 43
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
Outputs
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
5.4b
(/.f64 (*.f64 x z) (neg.f64 y))
Compiler

Compiled 17 to 6 computations (64.7% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite56.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
731×pow1_binary64
677×add-log-exp_binary64
676×log1p-expm1-u_binary64
676×expm1-log1p-u_binary64
662×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11487
221737
Stop Event
node limit
Counts
1 → 46
Calls
Call 1
Inputs
(/.f64 (*.f64 x z) (neg.f64 y))
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 1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) 2) (cbrt.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 (cbrt.f64 (*.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (/.f64 y z))) (sqrt.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x z)) (*.f64 (sqrt.f64 (*.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x z)) 1) (/.f64 (sqrt.f64 (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z -1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) -1) (/.f64 (cbrt.f64 (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x z)) -1) (/.f64 (sqrt.f64 (*.f64 x z)) y))))) (#(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 pow.f64 (/.f64 y (*.f64 x z)) -1)))) (#(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 (exp.f64 (/.f64 x (/.f64 y z))))))) (#(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 (*.f64 x z) 3) (pow.f64 y 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))))))))

simplify28.0ms (0.5%)

Algorithm
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
saturated
Counts
82 → 48
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
Outputs
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))

eval64.0ms (1.1%)

Compiler

Compiled 4993 to 1279 computations (74.4% saved)

prune55.0ms (1%)

Pruning

15 alts after pruning (4 fresh and 11 done)

PrunedKeptTotal
New3532355
Fresh022
Picked011
Done31013
Total35615371
Error
0b
Counts
371 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
7.4b
(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y))
27.3b
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
50.4b
(/.f64 (*.f64 x z) (neg.f64 y))
51.0b
(*.f64 (/.f64 x y) (neg.f64 z))
39.1b
(neg.f64 z)
35.7b
(/.f64 x (-.f64 1 (/.f64 y z)))
37.7b
(+.f64 y x)
61.9b
(/.f64 x (/.f64 y z))
39.3b
(*.f64 z (-.f64 -1 (/.f64 z y)))
46.0b
x
34.5b
(/.f64 y (-.f64 1 (/.f64 y z)))
51.8b
(/.f64 x (/.f64 (neg.f64 y) z))
51.7b
(*.f64 x (/.f64 (neg.f64 z) y))
27.3b
(-.f64 (neg.f64 z) (*.f64 z (/.f64 x y)))
7.4b
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
Compiler

Compiled 137 to 93 computations (32.1% saved)

regimes127.0ms (2.2%)

Counts
27 → 3
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (*.f64 (-.f64 1 (pow.f64 (/.f64 y z) 2)) (/.f64 1 (+.f64 1 (/.f64 y z)))))
(*.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (+.f64 x y))
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y))
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y))
(*.f64 -1 (+.f64 (/.f64 (*.f64 z x) y) z))
(*.f64 -1 (/.f64 (*.f64 (+.f64 y x) z) y))
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
(-.f64 (neg.f64 z) (*.f64 z (/.f64 x y)))
(*.f64 (/.f64 (neg.f64 z) y) (+.f64 x y))
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(/.f64 (+.f64 x y) (/.f64 (neg.f64 y) z))
(*.f64 z (-.f64 -1 (/.f64 z y)))
(/.f64 y (-.f64 1 (/.f64 y z)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 x (-.f64 1 (/.f64 y z)))
(/.f64 y (-.f64 1 (/.f64 y z)))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(/.f64 x (/.f64 (neg.f64 y) z))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 x (/.f64 y z))
(+.f64 y x)
(+.f64 y x)
(neg.f64 z)
x
x
Outputs
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
(*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z))
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
Calls

4 calls:

37.0ms
z
36.0ms
y
34.0ms
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
13.0ms
x
Results
ErrorSegmentsBranch
7.4b1x
3.8b3y
2.6b3z
0.1b3(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
Compiler

Compiled 216 to 88 computations (59.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
3.913897349581129e-303
0.0ms
-1.7730367914214615e-269
-0.0
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes170.0ms (2.9%)

Counts
16 → 7
Calls
Call 1
Inputs
(*.f64 z (-.f64 -1 (/.f64 z y)))
(/.f64 y (-.f64 1 (/.f64 y z)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 x (-.f64 1 (/.f64 y z)))
(/.f64 y (-.f64 1 (/.f64 y z)))
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(/.f64 x (/.f64 (neg.f64 y) z))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 x (/.f64 y z))
(+.f64 y x)
(+.f64 y x)
(neg.f64 z)
x
x
Outputs
(*.f64 z (-.f64 -1 (/.f64 z y)))
(/.f64 y (-.f64 1 (/.f64 y z)))
(/.f64 x (-.f64 1 (/.f64 y z)))
(/.f64 y (-.f64 1 (/.f64 y z)))
(/.f64 x (-.f64 1 (/.f64 y z)))
(/.f64 y (-.f64 1 (/.f64 y z)))
(*.f64 z (-.f64 -1 (/.f64 z y)))
Calls

3 calls:

77.0ms
z
64.0ms
y
25.0ms
x
Results
ErrorSegmentsBranch
18.4b3x
16.2b7y
19.9b9z
Compiler

Compiled 95 to 44 computations (53.7% saved)

bsearch118.0ms (2%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
3.050105478505392e+148
6.001398779696432e+148
19.0ms
6.06431774746257e+32
5.640598741350941e+35
20.0ms
-5.916054728508837e-25
-4.303176533475682e-26
20.0ms
-2.1513733263623225
-0.0010879578385482843
20.0ms
-3.275429441814307e+36
-6.64009888888035e+32
20.0ms
-6.8643516062222595e+245
-4.330604881180307e+238
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes294.0ms (5.1%)

Counts
11 → 4
Calls
Call 1
Inputs
(/.f64 (*.f64 x z) (neg.f64 y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(/.f64 x (/.f64 (neg.f64 y) z))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 x (/.f64 y z))
(+.f64 y x)
(+.f64 y x)
(neg.f64 z)
x
x
Outputs
(neg.f64 z)
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 y x)
(neg.f64 z)
Calls

3 calls:

208.0ms
x
59.0ms
z
25.0ms
y
Results
ErrorSegmentsBranch
26.8b8x
21.1b4y
22.8b9z
Compiler

Compiled 60 to 27 computations (55% saved)

bsearch82.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
7.2380304525131926e+81
7.502993279942596e+81
19.0ms
-3.1460248843520124e-103
-1.7496588866009985e-103
43.0ms
-3.275429441814307e+36
-6.64009888888035e+32
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
x
x
Outputs
x
Calls

3 calls:

3.0ms
z
3.0ms
x
3.0ms
y
Results
ErrorSegmentsBranch
46.0b1x
46.0b1y
46.0b1z
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify13.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
053219
167219
287219
3108219
4123219
5132219
6134219
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 0) (*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))
(if (<=.f64 y -686435160622225949964592882937197899787627721407316383146590643060323538597041234983549945288387450587434051220346603121351365084409158048873616824657227959643797273418418267541100969005703236234286750614650430536569395557022052186447516813754368) (*.f64 z (-.f64 -1 (/.f64 z y))) (if (<=.f64 y -3275429441814307233024614998036447232) (/.f64 y (-.f64 1 (/.f64 y z))) (if (<=.f64 y -2422231027735045/1125899906842624) (/.f64 x (-.f64 1 (/.f64 y z))) (if (<=.f64 y -6442013138722551/10889035741470030830827987437816582766592) (/.f64 y (-.f64 1 (/.f64 y z))) (if (<=.f64 y 606431774746256973406693561991168) (/.f64 x (-.f64 1 (/.f64 y z))) (if (<=.f64 y 30501054785053919414150717026629336353913801314023274525199082549583386639487832521258305468142965286408959508890640202502353123950970354945004404736) (/.f64 y (-.f64 1 (/.f64 y z))) (*.f64 z (-.f64 -1 (/.f64 z y)))))))))
(if (<=.f64 y -3275429441814307233024614998036447232) (neg.f64 z) (if (<=.f64 y -793342028718395/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (*.f64 x (/.f64 (neg.f64 z) y)) (if (<=.f64 y 7238030452513192567192546666199524516908328897466785481005898954973064238561492992) (+.f64 y x) (neg.f64 z))))
x
x
Outputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 0) (*.f64 (/.f64 (+.f64 y x) y) (neg.f64 z)) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) -1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))) 0) (*.f64 (/.f64 (+.f64 x y) y) (neg.f64 z)) (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))))
(if (<=.f64 y -686435160622225949964592882937197899787627721407316383146590643060323538597041234983549945288387450587434051220346603121351365084409158048873616824657227959643797273418418267541100969005703236234286750614650430536569395557022052186447516813754368) (*.f64 z (-.f64 -1 (/.f64 z y))) (if (<=.f64 y -3275429441814307233024614998036447232) (/.f64 y (-.f64 1 (/.f64 y z))) (if (<=.f64 y -2422231027735045/1125899906842624) (/.f64 x (-.f64 1 (/.f64 y z))) (if (<=.f64 y -6442013138722551/10889035741470030830827987437816582766592) (/.f64 y (-.f64 1 (/.f64 y z))) (if (<=.f64 y 606431774746256973406693561991168) (/.f64 x (-.f64 1 (/.f64 y z))) (if (<=.f64 y 30501054785053919414150717026629336353913801314023274525199082549583386639487832521258305468142965286408959508890640202502353123950970354945004404736) (/.f64 y (-.f64 1 (/.f64 y z))) (*.f64 z (-.f64 -1 (/.f64 z y)))))))))
(if (<=.f64 y -3275429441814307233024614998036447232) (neg.f64 z) (if (<=.f64 y -793342028718395/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (*.f64 x (/.f64 (neg.f64 z) y)) (if (<=.f64 y 7238030452513192567192546666199524516908328897466785481005898954973064238561492992) (+.f64 y x) (neg.f64 z))))
(if (<=.f64 y -3275429441814307233024614998036447232) (neg.f64 z) (if (<=.f64 y -793342028718395/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (*.f64 x (/.f64 (neg.f64 z) y)) (if (<=.f64 y 7238030452513192567192546666199524516908328897466785481005898954973064238561492992) (+.f64 x y) (neg.f64 z))))
x
x
Compiler

Compiled 161 to 89 computations (44.7% saved)

soundness79.0ms (1.4%)

Algorithm
egg-herbie
Rules
660×fma-def_binary64
491×times-frac_binary64
434×sub-neg_binary64
406×unsub-neg_binary64
364×div-sub_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01171157
13791111
21335950
36742940
Stop Event
node limit
Compiler

Compiled 45 to 29 computations (35.6% saved)

end60.0ms (1%)

Compiler

Compiled 152 to 77 computations (49.3% saved)

Profiling

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