Details

Time bar (total: 9.7s)

analyze409.0ms (4.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
3.1%96.7%0.1%8
14%84.3%1.7%9
19.5%76.5%4%10
25.4%70.6%4%11
38.8%54.2%7%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.8s (18.2%)

Results
1.6s8256×body256valid
153.0ms953×body256invalid

preprocess94.0ms (1%)

Algorithm
egg-herbie
Rules
795×div-sub_binary64
507×sub-neg_binary64
434×fma-def_binary64
430×neg-mul-1_binary64
343×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
13540
28340
320940
445140
5109940
6356540
7704440
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 (*.f64 y (-.f64 x z)) x)
(/.f64 (*.f64 z (-.f64 y x)) y)
(/.f64 (*.f64 x (-.f64 z y)) z)
Outputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 x (/.f64 y (-.f64 y z)))
(*.f64 (/.f64 x y) (-.f64 y z))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 y (-.f64 x z)) x)
(/.f64 y (/.f64 x (-.f64 x z)))
(*.f64 (/.f64 y x) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 y x))
(/.f64 (-.f64 x z) (/.f64 x y))
(-.f64 y (/.f64 z (/.f64 x y)))
(-.f64 y (*.f64 y (/.f64 z x)))
(/.f64 (*.f64 z (-.f64 y x)) y)
(/.f64 z (/.f64 y (-.f64 y x)))
(*.f64 (/.f64 z y) (-.f64 y x))
(*.f64 (-.f64 y x) (/.f64 z y))
(*.f64 z (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) (/.f64 y z))
(-.f64 z (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 x (-.f64 z y)) z)
(/.f64 x (/.f64 z (-.f64 z y)))
(*.f64 (/.f64 x z) (-.f64 z y))
(*.f64 (-.f64 z y) (/.f64 x z))
(-.f64 x (*.f64 x (/.f64 y z)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify81.0ms (0.8%)

Algorithm
egg-herbie
Rules
816×fma-def_binary64
681×fma-neg_binary64
493×associate-/l*_binary64
399×associate-*l/_binary64
383×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
22710
36010
413210
524010
643810
7125410
8601410
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 x (-.f64 y z)) y)
Outputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 x (/.f64 y (-.f64 y z)))
(*.f64 (/.f64 x y) (-.f64 y z))
(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))

eval1.0ms (0%)

Compiler

Compiled 17 to 9 computations (47.1% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
4.7b
(-.f64 x (*.f64 z (/.f64 x y)))
14.7b
(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 20 to 12 computations (40% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 21 to 6 computations (71.4% saved)

series17.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

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

rewrite121.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116017
2240817
Stop Event
node limit
Counts
2 → 59
Calls
Call 1
Inputs
(*.f64 z (/.f64 x y))
(-.f64 x (*.f64 z (/.f64 x y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 z x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (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 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 z x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 z x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 z x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 z x) y) 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 log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 z x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 z x) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 (*.f64 z x)) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (/.f64 x y)) z (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (/.f64 (neg.f64 (*.f64 z x)) y) 1 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 z x) y))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 z x) y)) 2) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z x) y))) (sqrt.f64 (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (*.f64 z x)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2) (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2)) (/.f64 1 (+.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 z x) y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y)))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 (*.f64 z x) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3)) (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2)) (+.f64 x (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2))) (neg.f64 (+.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (*.f64 z x)) y) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (*.f64 z x)) y) (/.f64 (neg.f64 (*.f64 z x)) y)) (*.f64 x (/.f64 (neg.f64 (*.f64 z x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (*.f64 z x)) y) (/.f64 (neg.f64 (*.f64 z x)) y))) (-.f64 x (/.f64 (neg.f64 (*.f64 z x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (*.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (*.f64 z x)) y))))))

simplify136.0ms (1.4%)

Algorithm
egg-herbie
Rules
380×fma-def_binary64
179×fma-neg_binary64
58×cancel-sign-sub-inv_binary64
49×associate-*r*_binary64
46×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016582
135582
266582
3116582
4224582
5410582
6803582
71079582
81271582
91390582
101404582
111409582
Stop Event
saturated
Counts
131 → 67
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)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 x (-.f64 y z))
14.0b
(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 21 to 6 computations (71.4% saved)

series22.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(*.f64 x (-.f64 y z))
2.0ms
x
@0
(/.f64 (*.f64 x (-.f64 y z)) y)
1.0ms
y
@inf
(/.f64 (*.f64 x (-.f64 y z)) y)
1.0ms
z
@inf
(/.f64 (*.f64 x (-.f64 y z)) y)
1.0ms
y
@-inf
(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite97.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115717
2238417
Stop Event
node limit
Counts
2 → 62
Calls
Call 1
Inputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (-.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 y (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (-.f64 y z) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y z) (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 y z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (-.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x y) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) (*.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))) 2) (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (*.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))) (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (-.f64 y z))) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (-.f64 y z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y z) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) 1) (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 y z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y 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 (-.f64 y z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 y z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y 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 (-.f64 y z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (-.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (-.f64 y z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x (neg.f64 z)))))) (#(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 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) x) (fma.f64 y y (*.f64 z (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (*.f64 z (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 y z))))))))

simplify119.0ms (1.2%)

Algorithm
egg-herbie
Rules
422×times-frac_binary64
390×neg-sub0_binary64
366×fma-def_binary64
357×neg-mul-1_binary64
310×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015570
134570
274570
3143570
4265570
5552570
61301570
75124570
87370570
Stop Event
node limit
Counts
134 → 73
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
Outputs
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(/.f64 (-.f64 y z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(*.f64 -1 (*.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 y z) x)

eval39.0ms (0.4%)

Compiler

Compiled 1714 to 506 computations (70.5% saved)

prune35.0ms (0.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New13010140
Fresh000
Picked101
Done101
Total13210142
Error
0b
Counts
142 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
40.2b
(*.f64 (neg.f64 z) (/.f64 x y))
41.2b
(*.f64 x (/.f64 (neg.f64 z) y))
3.9b
(*.f64 (-.f64 1 (/.f64 z y)) x)
4.0b
(pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) -1)
25.8b
x
3.9b
(-.f64 x (*.f64 x (/.f64 z y)))
36.4b
(/.f64 (*.f64 y x) y)
40.9b
(/.f64 (*.f64 x (neg.f64 z)) y)
5.7b
(-.f64 x (/.f64 1 (/.f64 y (*.f64 z x))))
4.5b
(-.f64 x (/.f64 z (/.f64 y x)))
Compiler

Compiled 182 to 119 computations (34.6% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 x (/.f64 z y)))
6.3b
(*.f64 x (/.f64 z y))
Compiler

Compiled 21 to 6 computations (71.4% saved)

series9.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite213.0ms (2.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116017
2241017
Stop Event
node limit
Counts
2 → 60
Calls
Call 1
Inputs
(*.f64 x (/.f64 z y))
(-.f64 x (*.f64 x (/.f64 z y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 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 (neg.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 z) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 x z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 x z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x z) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 (*.f64 x z)) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 x z) y)) (fma.f64 (neg.f64 (/.f64 z y)) x (/.f64 (*.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 x z) y)) (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (*.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 x z) y)) (fma.f64 (/.f64 (neg.f64 (*.f64 x z)) y) 1 (/.f64 (*.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 x z) y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 x z) y))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) 2) (/.f64 (*.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 x z) y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 x z) y))) (sqrt.f64 (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 x z) y)))))) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 x z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 x z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 (*.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (*.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 x z) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (*.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (*.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (*.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (*.f64 x z)) y))))))

simplify112.0ms (1.2%)

Algorithm
egg-herbie
Rules
380×fma-def_binary64
179×fma-neg_binary64
58×cancel-sign-sub-inv_binary64
49×associate-*r*_binary64
46×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016582
135582
266582
3116582
4224582
5410582
6803582
71079582
81271582
91390582
101404582
111409582
Stop Event
saturated
Counts
132 → 69
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)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))

localize24.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
19.5b
(/.f64 (*.f64 y x) y)
Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite97.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
621×pow1_binary64
577×add-log-exp_binary64
577×log1p-expm1-u_binary64
577×expm1-log1p-u_binary64
564×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11067
215137
Stop Event
node limit
Counts
1 → 40
Calls
Call 1
Inputs
(/.f64 (*.f64 y x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (/.f64 1 y)))))) (#(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 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) 2) (cbrt.f64 (*.f64 (/.f64 y y) x)))))) (#(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 y) x)) (sqrt.f64 (*.f64 (/.f64 y y) x)))))) (#(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 (*.f64 y (neg.f64 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 y 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 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 y (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 y (cbrt.f64 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 y) x)))))) (#(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 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.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 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y y) x)) 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 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y y) x)))))))

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
Stop Event
saturated
Counts
64 → 41
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 6 computations (64.7% saved)

series5.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite73.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

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

simplify64.0ms (0.7%)

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
60 → 26
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)))

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.6b
(*.f64 (-.f64 1 (/.f64 z y)) x)
Compiler

Compiled 22 to 10 computations (54.5% saved)

series9.0ms (0.1%)

Counts
1 → 24
Calls

9 calls:

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

rewrite121.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
904×pow1_binary64
837×add-log-exp_binary64
837×log1p-expm1-u_binary64
837×expm1-log1p-u_binary64
820×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
116710
2220010
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (/.f64 z y)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 z) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 1 (/.f64 z y)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 3)) x) (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 2)) x) (+.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 z y) 3))) (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 z y) 2))) (+.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 z y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 z y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (/.f64 z y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))))

simplify71.0ms (0.7%)

Algorithm
egg-herbie
Rules
456×fma-def_binary64
218×fma-neg_binary64
76×cancel-sign-sub-inv_binary64
61×distribute-rgt-in_binary64
56×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09228
118210
240210
379210
4142210
5280210
6494210
7715210
81113210
91645210
101659210
111673210
121678210
Stop Event
saturated
Counts
43 → 24
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
Outputs
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 x y) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 x y) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 x y) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 x y) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 x y) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 x y) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 x y) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 x y) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 x y) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 (neg.f64 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 x y) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 x y) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 x y) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 x y) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 x y) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 x y) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 x y) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 x y) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 (/.f64 x y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (/.f64 x y) x)

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 1 (/.f64 y (*.f64 z x))))
0.2b
(/.f64 1 (/.f64 y (*.f64 z x)))
7.2b
(/.f64 y (*.f64 z x))
Compiler

Compiled 31 to 11 computations (64.5% saved)

series18.0ms (0.2%)

Counts
3 → 72
Calls

27 calls:

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

rewrite171.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
608×prod-diff_binary64
535×log-prod_binary64
327×pow-prod-down_binary64
262×pow2_binary64
221×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0930
119824
2288924
Stop Event
node limit
Counts
3 → 313
Calls
Call 1
Inputs
(/.f64 y (*.f64 z x))
(/.f64 1 (/.f64 y (*.f64 z x)))
(-.f64 x (/.f64 1 (/.f64 y (*.f64 z x))))
Outputs
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simplify132.0ms (1.4%)

Algorithm
egg-herbie
Rules
380×fma-def_binary64
179×fma-neg_binary64
58×cancel-sign-sub-inv_binary64
49×associate-*r*_binary64
46×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016582
135582
266582
3116582
4224582
5410582
6803582
71079582
81271582
91390582
101404582
111409582
Stop Event
saturated
Counts
385 → 322
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)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(fma.f64 x (/.f64 (neg.f64 z) y) x)
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(fma.f64 x (/.f64 (neg.f64 z) y) x)
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(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
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(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
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x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
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(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))

eval175.0ms (1.8%)

Compiler

Compiled 9642 to 2958 computations (69.3% saved)

prune156.0ms (1.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New4775482
Fresh415
Picked101
Done134
Total4839492
Error
0b
Counts
492 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
40.9b
(/.f64 (*.f64 z x) (neg.f64 y))
25.8b
x
41.2b
(*.f64 x (/.f64 (neg.f64 z) y))
40.2b
(*.f64 (neg.f64 z) (/.f64 x y))
61.9b
(/.f64 z (/.f64 y x))
3.9b
(*.f64 (-.f64 1 (/.f64 z y)) x)
36.4b
(/.f64 (*.f64 y x) y)
3.8b
(-.f64 x (/.f64 x (/.f64 y z)))
4.5b
(-.f64 x (/.f64 z (/.f64 y x)))
Compiler

Compiled 123 to 79 computations (35.8% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 x (/.f64 y z)))
6.3b
(/.f64 x (/.f64 y z))
Compiler

Compiled 21 to 6 computations (71.4% saved)

series9.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite201.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
710×prod-diff_binary64
490×log-prod_binary64
271×pow-prod-down_binary64
234×pow2_binary64
223×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116317
2259917
Stop Event
node limit
Counts
2 → 260
Calls
Call 1
Inputs
(/.f64 x (/.f64 y z))
(-.f64 x (/.f64 x (/.f64 y z)))
Outputs
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simplify140.0ms (1.4%)

Algorithm
egg-herbie
Rules
380×fma-def_binary64
179×fma-neg_binary64
58×cancel-sign-sub-inv_binary64
49×associate-*r*_binary64
46×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016582
135582
266582
3116582
4224582
5410582
6803582
71079582
81271582
91390582
101404582
111409582
Stop Event
saturated
Counts
332 → 268
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)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
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(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
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(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
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(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
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(*.f64 -1 (/.f64 (*.f64 z x) y))
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(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
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(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
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(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
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(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
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(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
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(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(-.f64 x (/.f64 (*.f64 z x) y))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite117.0ms (1.2%)

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 z (/.f64 y x))
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 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 z 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 (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 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x 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 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 z (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 z (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(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 z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (/.f64 (neg.f64 y) x)))))) (#(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 (pow.f64 (exp.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 z 3) (pow.f64 (/.f64 y x) 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))))))))

simplify28.0ms (0.3%)

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))

localize55.0ms (0.6%)

Local error

Found 1 expressions with local error:

NewErrorProgram
6.3b
(*.f64 x (/.f64 (neg.f64 z) y))
Compiler

Compiled 18 to 6 computations (66.7% saved)

series4.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite64.0ms (0.7%)

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))))))))

simplify56.0ms (0.6%)

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)))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
7.2b
(/.f64 (*.f64 z x) (neg.f64 y))
Compiler

Compiled 17 to 6 computations (64.7% saved)

series5.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite68.0ms (0.7%)

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 z x) (neg.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 z (/.f64 y x))) 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 z (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 z (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) 2) (cbrt.f64 (/.f64 z (/.f64 y x))))))) (#(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 z (/.f64 y x))) (sqrt.f64 (/.f64 z (/.f64 y x))))))) (#(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 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 z (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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 z (/.f64 y x))))))) (#(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 *.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 (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 pow.f64 (/.f64 z (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 z (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 z (/.f64 y x))))))))

simplify56.0ms (0.6%)

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))
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(*.f64 (neg.f64 (/.f64 z y)) x)
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(/.f64 (neg.f64 (*.f64 z x)) y)
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localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite171.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
697×prod-diff_binary64
492×log-prod_binary64
280×pow-prod-down_binary64
239×fma-def_binary64
234×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116310
2260510
Stop Event
node limit
Counts
1 → 215
Calls
Call 1
Inputs
(-.f64 x (/.f64 z (/.f64 y x)))
Outputs
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y)) 3)) (/.f64 1 (fma.f64 (*.f64 x (/.f64 z y)) (fma.f64 x (/.f64 z y) x) (*.f64 x x))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 z y)) 3)) (/.f64 1 (fma.f64 (*.f64 x (/.f64 z y)) (fma.f64 x (/.f64 z y) x) (*.f64 x x))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (/.f64 z y)) 2)) (/.f64 1 (fma.f64 x (/.f64 z y) x)) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (/.f64 z y)) 2)) (/.f64 1 (fma.f64 x (/.f64 z y) x)) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (/.f64 z y)) 2)) (/.f64 1 (fma.f64 x (/.f64 z y) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (/.f64 z y)) 2)) (/.f64 1 (fma.f64 x (/.f64 z y) x)) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (/.f64 z y)) 2)) (/.f64 1 (fma.f64 x (/.f64 z y) x)) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z y) (neg.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (neg.f64 z) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (neg.f64 z) (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (neg.f64 z) (/.f64 x y))) (sqrt.f64 (*.f64 (neg.f64 z) (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 z y)))) (sqrt.f64 (*.f64 x (/.f64 z y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x (/.f64 z y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2)) (cbrt.f64 (*.f64 x (/.f64 z y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 z y)) x x)))))

simplify59.0ms (0.6%)

Algorithm
egg-herbie
Rules
380×fma-def_binary64
179×fma-neg_binary64
58×cancel-sign-sub-inv_binary64
50×associate-*r*_binary64
46×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016330
135330
266330
3116330
4224330
5410330
6804330
71078330
81273330
91392330
101406330
111411330
Stop Event
saturated
Counts
251 → 222
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
Outputs
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))

eval654.0ms (6.8%)

Compiler

Compiled 14768 to 4577 computations (69% saved)

prune356.0ms (3.7%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New6432645
Fresh101
Picked101
Done077
Total6459654
Error
0b
Counts
654 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
41.2b
(*.f64 x (/.f64 (neg.f64 z) y))
40.2b
(*.f64 (neg.f64 z) (/.f64 x y))
40.9b
(/.f64 (*.f64 z x) (neg.f64 y))
61.9b
(/.f64 z (/.f64 y x))
3.9b
(*.f64 (-.f64 1 (/.f64 z y)) x)
36.4b
(/.f64 (*.f64 y x) y)
40.4b
(neg.f64 (/.f64 z (/.f64 y x)))
25.8b
x
3.8b
(-.f64 x (/.f64 x (/.f64 y z)))
Compiler

Compiled 76 to 50 computations (34.2% saved)

localize41.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 6 computations (70% saved)

eval12.0ms (0.1%)

Compiler

Compiled 443 to 194 computations (56.2% saved)

prune15.0ms (0.2%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New42042
Fresh011
Picked011
Done077
Total42951
Error
0b
Counts
51 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
41.2b
(*.f64 x (/.f64 (neg.f64 z) y))
40.2b
(*.f64 (neg.f64 z) (/.f64 x y))
40.9b
(/.f64 (*.f64 z x) (neg.f64 y))
61.9b
(/.f64 z (/.f64 y x))
3.9b
(*.f64 (-.f64 1 (/.f64 z y)) x)
36.4b
(/.f64 (*.f64 y x) y)
40.4b
(neg.f64 (/.f64 z (/.f64 y x)))
25.8b
x
3.8b
(-.f64 x (/.f64 x (/.f64 y z)))
Compiler

Compiled 76 to 50 computations (34.2% saved)

regimes655.0ms (6.8%)

Counts
19 → 5
Calls
Call 1
Inputs
x
x
x
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 y x) y)
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 z x) (neg.f64 y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 x (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(-.f64 x (/.f64 x (/.f64 y z)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 x (-.f64 y z)) y)
(-.f64 x (/.f64 1 (/.f64 y (*.f64 z x))))
(pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) -1)
Outputs
(-.f64 x (/.f64 x (/.f64 y z)))
(/.f64 (*.f64 x (-.f64 y z)) y)
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 1 (/.f64 y (*.f64 z x))))
(*.f64 (-.f64 1 (/.f64 z y)) x)
Calls

4 calls:

233.0ms
y
206.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
180.0ms
z
29.0ms
x
Results
ErrorSegmentsBranch
2.5b2x
0.6b6y
1.6b2z
0.1b5(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 134 to 56 computations (58.2% saved)

bsearch39.0ms (0.4%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.914637594893039e+293
6.461653116919663e+303
0.0ms
377617361939355.94
141672203250125540.0
0.0ms
-2.1599399534926015e+85
-1.1700984221237303e+77
0.0ms
-inf
-1.265349326558557e+301
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes270.0ms (2.8%)

Counts
17 → 5
Calls
Call 1
Inputs
x
x
x
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 y x) y)
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 z x) (neg.f64 y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 x (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(-.f64 x (/.f64 x (/.f64 y z)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (*.f64 z (/.f64 x y)))
(/.f64 (*.f64 x (-.f64 y z)) y)
Outputs
(-.f64 x (/.f64 x (/.f64 y z)))
(/.f64 (*.f64 x (-.f64 y z)) y)
(-.f64 x (/.f64 x (/.f64 y z)))
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 (-.f64 1 (/.f64 z y)) x)
Calls

4 calls:

180.0ms
y
38.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
30.0ms
z
18.0ms
x
Results
ErrorSegmentsBranch
2.5b2x
2.0b3y
1.6b2z
0.1b5(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 116 to 48 computations (58.6% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.914637594893039e+293
6.461653116919663e+303
0.0ms
8.751828073059266e-59
9.32209086867386e-59
0.0ms
-2.1599399534926015e+85
-1.1700984221237303e+77
0.0ms
-inf
-1.265349326558557e+301
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes121.0ms (1.3%)

Counts
16 → 2
Calls
Call 1
Inputs
x
x
x
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 y x) y)
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 z x) (neg.f64 y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 x (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(-.f64 x (/.f64 x (/.f64 y z)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (*.f64 z (/.f64 x y)))
Outputs
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
Calls

3 calls:

47.0ms
z
44.0ms
x
24.0ms
y
Results
ErrorSegmentsBranch
2.5b2x
2.0b3y
1.6b2z
Compiler

Compiled 99 to 39 computations (60.6% saved)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
-1.0000879259973064e+33
-3.763091750642646e+31
Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes101.0ms (1%)

Counts
14 → 2
Calls
Call 1
Inputs
x
x
x
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 y x) y)
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 z x) (neg.f64 y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 x (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(-.f64 x (/.f64 x (/.f64 y z)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(-.f64 x (*.f64 x (/.f64 z y)))
Outputs
(neg.f64 (/.f64 z (/.f64 y x)))
(-.f64 x (/.f64 x (/.f64 y z)))
Calls

3 calls:

73.0ms
y
16.0ms
z
8.0ms
x
Results
ErrorSegmentsBranch
3.8b1x
2.8b3y
2.3b2z
Compiler

Compiled 85 to 36 computations (57.6% saved)

bsearch9.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
9.0ms
-1.2650702632328626e+156
-7.7077078500534605e+146
Compiler

Compiled 37 to 25 computations (32.4% saved)

regimes154.0ms (1.6%)

Counts
11 → 5
Calls
Call 1
Inputs
x
x
x
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 y x) y)
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 z x) (neg.f64 y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 x (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
Outputs
x
(neg.f64 (/.f64 z (/.f64 y x)))
x
(neg.f64 (/.f64 z (/.f64 y x)))
x
Calls

3 calls:

66.0ms
x
63.0ms
y
19.0ms
z
Results
ErrorSegmentsBranch
20.6b7x
16.0b5y
17.4b3z
Compiler

Compiled 64 to 27 computations (57.8% saved)

bsearch577.0ms (6%)

Algorithm
binary-search
Steps
TimeLeftRight
77.0ms
3.0132662249017747e-43
2.636793905788217e-41
289.0ms
1.1997667613948301e-116
1.0279068982849944e-97
192.0ms
1.0923386134619924e-170
1.0668333660358176e-163
18.0ms
-4.2823194274122806e+30
-9.489806493608279e+29
Compiler

Compiled 406 to 297 computations (26.8% saved)

regimes166.0ms (1.7%)

Accuracy

Total -36.4b remaining (-141%)

Threshold costs -36.4b (-141%)

Counts
5 → 1
Calls
Call 1
Inputs
x
x
x
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 y x) y)
Outputs
x
Calls

3 calls:

156.0ms
z
4.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
25.8b1x
25.8b1y
25.8b1z
Compiler

Compiled 28 to 16 computations (42.9% saved)

simplify15.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
059320
177320
297320
3108320
4114320
5115320
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (/.f64 (*.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 500000000000000) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (-.f64 x (/.f64 1 (/.f64 y (*.f64 z x)))) (*.f64 (-.f64 1 (/.f64 z y)) x)))))
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (/.f64 (*.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 5088519546561747/56539106072908298546665520023773392506479484700019806659891398441363832832) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (/.f64 (*.f64 x (-.f64 y z)) y) (*.f64 (-.f64 1 (/.f64 z y)) x)))))
(if (<=.f64 z -999999999999999945575230987042816) (-.f64 x (/.f64 z (/.f64 y x))) (-.f64 x (/.f64 x (/.f64 y z))))
(if (<=.f64 z -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (neg.f64 (/.f64 z (/.f64 y x))) (-.f64 x (/.f64 x (/.f64 y z))))
(if (<=.f64 y -4282319427412280567845647024128) x (if (<=.f64 y 5982738351088065/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (neg.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 y 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) x (if (<=.f64 y 1945901537969871/6277101735386680763835789423207666416102355444464034512896) (neg.f64 (/.f64 z (/.f64 y x))) x))))
x
Outputs
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (/.f64 (*.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 500000000000000) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (-.f64 x (/.f64 1 (/.f64 y (*.f64 z x)))) (*.f64 (-.f64 1 (/.f64 z y)) x)))))
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (/.f64 (*.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 500000000000000) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (-.f64 x (/.f64 1 (/.f64 y (*.f64 x z)))) (*.f64 x (-.f64 1 (/.f64 z y)))))))
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (/.f64 (*.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 5088519546561747/56539106072908298546665520023773392506479484700019806659891398441363832832) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (/.f64 (*.f64 x (-.f64 y z)) y) (*.f64 (-.f64 1 (/.f64 z y)) x)))))
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (/.f64 (*.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 5088519546561747/56539106072908298546665520023773392506479484700019806659891398441363832832) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (/.f64 (*.f64 x (-.f64 y z)) y) (*.f64 x (-.f64 1 (/.f64 z y)))))))
(if (<=.f64 z -999999999999999945575230987042816) (-.f64 x (/.f64 z (/.f64 y x))) (-.f64 x (/.f64 x (/.f64 y z))))
(if (<=.f64 z -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (neg.f64 (/.f64 z (/.f64 y x))) (-.f64 x (/.f64 x (/.f64 y z))))
(if (<=.f64 z -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (/.f64 (neg.f64 z) (/.f64 y x)) (-.f64 x (/.f64 x (/.f64 y z))))
(if (<=.f64 y -4282319427412280567845647024128) x (if (<=.f64 y 5982738351088065/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (neg.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 y 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) x (if (<=.f64 y 1945901537969871/6277101735386680763835789423207666416102355444464034512896) (neg.f64 (/.f64 z (/.f64 y x))) x))))
(if (<=.f64 y -4282319427412280567845647024128) x (if (<=.f64 y 5982738351088065/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (neg.f64 z) (/.f64 y x)) (if (<=.f64 y 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) x (if (<=.f64 y 1945901537969871/6277101735386680763835789423207666416102355444464034512896) (/.f64 (neg.f64 z) (/.f64 y x)) x))))
x
Compiler

Compiled 237 to 100 computations (57.8% saved)

soundness805.0ms (8.3%)

Algorithm
egg-herbie
Rules
816×fma-def_binary64
816×fma-def_binary64
816×fma-def_binary64
681×fma-neg_binary64
681×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
22710
36010
413210
524010
643810
7125410
8601410
016582
135582
266582
3116582
4224582
5410582
6803582
71079582
81271582
91390582
101404582
111409582
0710
11210
22710
36010
413210
524010
643810
7125410
8601410
0710
11210
22710
36010
413210
524010
643810
7125410
8601410
Stop Event
node limit
node limit
saturated
node limit
Compiler

Compiled 276 to 162 computations (41.3% saved)

end60.0ms (0.6%)

Compiler

Compiled 222 to 68 computations (69.4% saved)

Profiling

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