Details

Time bar (total: 3.8s)

analyze1.2s (30.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
10.9%88.9%0.2%10
13.3%85.8%1%11
17.9%79.3%2.7%12
25.5%70.3%4.1%13
31.7%63.9%4.5%14
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.2s (32.3%)

Results
963.0ms8256×body128valid
260.0ms2271×body128invalid
Compiler

Compiled 28 to 18 computations (35.7% saved)

preprocess42.0ms (1.1%)

Algorithm
egg-herbie
Rules
505×unsub-neg_binary64
463×div-sub_binary64
427×fma-def_binary64
325×sub-neg_binary64
271×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03177
17677
220577
349077
4103477
5221177
6401177
044
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
3
Outputs
0
1
2
3
Call 2
Inputs
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
(+.f64 (*.f64 (/.f64 y x) (-.f64 z t)) t)
(+.f64 (*.f64 (/.f64 z y) (-.f64 x t)) t)
(+.f64 (*.f64 (/.f64 t y) (-.f64 z x)) x)
(+.f64 (*.f64 (/.f64 x z) (-.f64 y t)) t)
(+.f64 (*.f64 (/.f64 x t) (-.f64 z y)) y)
(+.f64 (*.f64 (/.f64 x y) (-.f64 t z)) z)
Outputs
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(+.f64 (*.f64 (/.f64 y x) (-.f64 z t)) t)
(fma.f64 (/.f64 y x) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 y x) t)
(+.f64 (*.f64 (/.f64 z y) (-.f64 x t)) t)
(fma.f64 (/.f64 z y) (-.f64 x t) t)
(fma.f64 (/.f64 (-.f64 x t) y) z t)
(+.f64 (*.f64 (/.f64 t y) (-.f64 z x)) x)
(fma.f64 (/.f64 t y) (-.f64 z x) x)
(+.f64 (*.f64 (/.f64 x z) (-.f64 y t)) t)
(fma.f64 (/.f64 x z) (-.f64 y t) t)
(+.f64 (*.f64 (/.f64 x t) (-.f64 z y)) y)
(fma.f64 (/.f64 x t) (-.f64 z y) y)
(+.f64 (*.f64 (/.f64 x y) (-.f64 t z)) z)
(fma.f64 (/.f64 x y) (-.f64 t z) z)
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify58.0ms (1.5%)

Algorithm
egg-herbie
Rules
936×fma-def_binary64
721×fma-neg_binary64
220×cancel-sign-sub-inv_binary64
144×distribute-rgt-in_binary64
107×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11611
23811
38411
417811
531611
654211
7101511
8198911
9298811
10363011
11366811
12369811
13370311
14370311
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
Outputs
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
6.5b
(fma.f64 x (/.f64 (-.f64 z t) y) t)
2.3b
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
Compiler

Compiled 71 to 40 computations (43.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
9.5b
(*.f64 (/.f64 x y) (-.f64 z t))

series13.0ms (0.3%)

Counts
2 → 96
Calls

24 calls:

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

rewrite61.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
360×fma-def_binary64
201×fma-neg_binary64
200×expm1-udef_binary64
200×log1p-udef_binary64
164×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
120621
2314021
Stop Event
node limit
Counts
2 → 103
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (-.f64 z t))
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 x y) (-.f64 z t) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 z t)) 2) (fma.f64 (/.f64 x y) (-.f64 z t) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 (/.f64 x y) (-.f64 z t) (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 x y) (-.f64 z t) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 x y) (-.f64 z t) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 x y) (-.f64 z t) t)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) (-.f64 z t) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) (-.f64 z t) t)) 2) (cbrt.f64 (fma.f64 (/.f64 x y) (-.f64 z t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 x y) (-.f64 z t) t)) (sqrt.f64 (fma.f64 (/.f64 x y) (-.f64 z t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x 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t)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) (-.f64 z t) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t 1 (*.f64 (/.f64 x y) (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 z t) (/.f64 x y) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (-.f64 z t)) 1 t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 t (*.f64 (/.f64 x y) (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 x y) (-.f64 z t)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t))) 2) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t))) 2) (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t))) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 t) 2) (*.f64 (/.f64 x y) (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 t) (*.f64 (/.f64 x y) (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 z t) 2)) (*.f64 (cbrt.f64 (-.f64 z t)) (/.f64 x y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (*.f64 (cbrt.f64 (/.f64 x y)) (-.f64 z t)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 z t))) (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 z t))) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (sqrt.f64 t) (*.f64 (/.f64 x y) (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 z t)) (*.f64 (sqrt.f64 (-.f64 z t)) (/.f64 x y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (-.f64 z t)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (-.f64 z t)) (/.f64 1 y) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 z t) (sqrt.f64 y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (/.f64 (-.f64 z t) y) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 z t) (cbrt.f64 y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (cbrt.f64 (pow.f64 (-.f64 z t) 2))) (cbrt.f64 (-.f64 z t)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (sqrt.f64 (-.f64 z t))) (sqrt.f64 (-.f64 z t)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 z t) (cbrt.f64 (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (/.f64 x y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 z t) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) t)))))

simplify90.0ms (2.4%)

Algorithm
egg-herbie
Rules
777×fma-neg_binary64
750×fma-def_binary64
218×cancel-sign-sub-inv_binary64
154×distribute-rgt-in_binary64
114×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0331062
1811056
2193948
3406948
4743948
51552948
62953948
73654948
83752948
93778948
103786948
113786948
Stop Event
saturated
Counts
199 → 121
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 -1 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
t
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(/.f64 (*.f64 (-.f64 z t) x) y)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(/.f64 (*.f64 (-.f64 z t) x) y)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
t
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
t
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(/.f64 (*.f64 z x) y)
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(/.f64 (*.f64 z x) y)
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1)))
(+.f64 (*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1))) (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1))) (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1))) (/.f64 (*.f64 z x) y))
Outputs
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (-.f64 z t) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 (/.f64 t y) (neg.f64 x))
(*.f64 t (/.f64 (neg.f64 x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 z (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 z (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 z (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 (/.f64 t y) (neg.f64 x))
(*.f64 t (/.f64 (neg.f64 x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 (/.f64 t y) (neg.f64 x))
(*.f64 t (/.f64 (neg.f64 x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
t
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
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prune64.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1192121
Fresh011
Picked011
Done000
Total1194123
Error
0b
Counts
123 → 4
Alt Table
StatusErrorProgram
6.1b
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
6.5b
(fma.f64 x (/.f64 (-.f64 z t) y) t)
2.3b
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
2.1b
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
Compiler

Compiled 1882 to 562 computations (70.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
9.6b
(/.f64 (-.f64 z t) (/.f64 y x))

series7.0ms (0.2%)

Counts
2 → 96
Calls

24 calls:

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

rewrite76.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
400×fma-def_binary64
297×fma-neg_binary64
210×expm1-udef_binary64
210×log1p-udef_binary64
118×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
121421
2353421
Stop Event
node limit
Counts
2 → 143
Calls
Call 1
Inputs
(/.f64 (-.f64 z t) (/.f64 y x))
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
Outputs
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(-.f64 (*.f64 t (/.f64 x y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z y) x (neg.f64 (-.f64 (*.f64 t (/.f64 x y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 z t) 1) (/.f64 x y) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 z t) (neg.f64 y)) (neg.f64 x) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z 1) (/.f64 x y) (neg.f64 (-.f64 (*.f64 t (/.f64 x y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z (neg.f64 y)) (neg.f64 x) (neg.f64 (-.f64 (*.f64 t (/.f64 x y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 z t) y) 1) x t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 z t) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 z t) y) (sqrt.f64 x)) (sqrt.f64 x) t)))))

simplify89.0ms (2.3%)

Algorithm
egg-herbie
Rules
777×fma-neg_binary64
725×fma-def_binary64
218×cancel-sign-sub-inv_binary64
154×distribute-rgt-in_binary64
114×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0331674
1811020
2193948
3406948
4745948
51541948
62911948
73608948
83706948
93732948
103740948
113740948
Stop Event
saturated
Counts
239 → 161
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(/.f64 (*.f64 z x) y)
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(/.f64 (*.f64 z x) y)
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
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(/.f64 (*.f64 z x) y)
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(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
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(*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1)))
(+.f64 (*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1))) (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1))) (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1))) (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
t
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
t
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
t
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(/.f64 (*.f64 (-.f64 z t) x) y)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
Outputs
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(*.f64 t (/.f64 (neg.f64 x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
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(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
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(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
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(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(*.f64 t (/.f64 (neg.f64 x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
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(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
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(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
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(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(*.f64 t (/.f64 (neg.f64 x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
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(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
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(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
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(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
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(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 t (+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x))))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 t (+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x))))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 t (+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x))))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 t (+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x))))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 t (+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x))))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(/.f64 (*.f64 (-.f64 z t) x) y)
(+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 z t)))
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 t (+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x))))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 t (+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x))))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 t (+.f64 (neg.f64 (/.f64 t (/.f64 y x))) (/.f64 z (/.f64 y x))))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)

prune99.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1610161
Fresh022
Picked011
Done011
Total1614165
Error
0b
Counts
165 → 4
Alt Table
StatusErrorProgram
6.1b
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
6.5b
(fma.f64 x (/.f64 (-.f64 z t) y) t)
2.3b
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
2.1b
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
Compiler

Compiled 2625 to 706 computations (73.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
0.0b
(*.f64 (-.f64 z t) x)
6.1b
(/.f64 (*.f64 (-.f64 z t) x) y)

series14.0ms (0.4%)

Counts
3 → 84
Calls

33 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
2.0ms
x
@inf
(*.f64 (-.f64 z t) x)
0.0ms
x
@-inf
(*.f64 (-.f64 z t) x)
0.0ms
z
@-inf
(*.f64 (-.f64 z t) x)
0.0ms
z
@0
(/.f64 (*.f64 (-.f64 z t) x) y)

rewrite59.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
347×fma-def_binary64
202×fma-neg_binary64
200×expm1-udef_binary64
200×log1p-udef_binary64
164×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0930
120530
2316628
Stop Event
node limit
Counts
3 → 133
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) x)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 z t) (/.f64 1 (/.f64 y x)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 z t) (*.f64 x (/.f64 1 y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (-.f64 z t) (/.f64 1 y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 z t) x) (/.f64 1 y) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (/.f64 y (-.f64 z t))) 1 t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 t (/.f64 x (/.f64 y (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (/.f64 y (-.f64 z t))) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x (/.f64 y (-.f64 z t)))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (-.f64 z t)))) 2) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (-.f64 z t)))) 2) (cbrt.f64 (/.f64 x (/.f64 y (-.f64 z t)))) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 z t) x)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (*.f64 (-.f64 z t) x)) (cbrt.f64 y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 z t) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 z t) (sqrt.f64 y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (-.f64 z t) x) (sqrt.f64 y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 z t) x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (-.f64 z t) x)) (sqrt.f64 y)) t)))))

simplify83.0ms (2.2%)

Algorithm
egg-herbie
Rules
841×fma-neg_binary64
308×fma-def_binary64
222×cancel-sign-sub-inv_binary64
150×distribute-rgt-in_binary64
119×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0351200
186780
2192732
3411732
4761732
51599732
62561732
73320732
83402732
93428732
103436732
113436732
Stop Event
saturated
Counts
217 → 158
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 -1 (*.f64 t x))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 t x)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 t x)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 t x)))
(*.f64 z x)
(+.f64 (*.f64 -1 (*.f64 t x)) (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 t x)) (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 t x)) (*.f64 z x))
(*.f64 z x)
(+.f64 (*.f64 -1 (*.f64 t x)) (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 t x)) (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 t x)) (*.f64 z x))
(*.f64 z x)
(+.f64 (*.f64 -1 (*.f64 t x)) (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 t x)) (*.f64 z x))
(+.f64 (*.f64 -1 (*.f64 t x)) (*.f64 z x))
(*.f64 -1 (*.f64 t x))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 t x)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 t x)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 t x)))
(*.f64 -1 (*.f64 t x))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 t x)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 t x)))
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 t x)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(/.f64 (*.f64 z x) y)
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(/.f64 (*.f64 z x) y)
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1)))
(+.f64 (*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1))) (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1))) (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1))) (/.f64 (*.f64 z x) y))
t
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
t
t
Outputs
(*.f64 -1 (/.f64 (*.f64 t x) y))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (/.f64 (neg.f64 x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (neg.f64 (*.f64 t x)) y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (neg.f64 (*.f64 t x)) y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (neg.f64 (*.f64 t x)) y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (neg.f64 (*.f64 t x)) y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
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(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
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(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (neg.f64 (*.f64 t x)) y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (neg.f64 (*.f64 t x)) y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (neg.f64 (*.f64 t x)) y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (neg.f64 (*.f64 t x)) y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (neg.f64 (*.f64 t x)) y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (neg.f64 (*.f64 t x)) y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (/.f64 (neg.f64 x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (neg.f64 (*.f64 t x)) y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (neg.f64 (*.f64 t x)) y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (neg.f64 (*.f64 t x)) y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (/.f64 (neg.f64 x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (neg.f64 (*.f64 t x)) y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (neg.f64 (*.f64 t x)) y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (neg.f64 (*.f64 t x)) y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 -1 (*.f64 t x))
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(*.f64 x (neg.f64 t))
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(fma.f64 x (/.f64 (-.f64 z t) y) t)
t
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
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(fma.f64 x (/.f64 (-.f64 z t) y) t)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
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(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
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(fma.f64 x (/.f64 (-.f64 z t) y) t)
(/.f64 (*.f64 (-.f64 z t) x) y)
(+.f64 (/.f64 (neg.f64 (*.f64 t x)) y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(+.f64 (/.f64 (neg.f64 (*.f64 t x)) y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 x (/.f64 (-.f64 z t) y))
t
t

prune77.0ms (2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1580158
Fresh011
Picked011
Done022
Total1584162
Error
0b
Counts
162 → 4
Alt Table
StatusErrorProgram
6.1b
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
6.5b
(fma.f64 x (/.f64 (-.f64 z t) y) t)
2.3b
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
2.1b
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
Compiler

Compiled 2316 to 685 computations (70.4% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 z t) y)
6.2b
(fma.f64 x (/.f64 (-.f64 z t) y) t)

series10.0ms (0.2%)

Counts
2 → 72
Calls

21 calls:

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

rewrite87.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
610×prod-diff_binary64
211×fma-def_binary64
174×expm1-udef_binary64
174×log1p-udef_binary64
169×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
117818
2262118
Stop Event
node limit
Counts
2 → 195
Calls
Call 1
Inputs
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(/.f64 (-.f64 z t) y)
Outputs
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simplify81.0ms (2.1%)

Algorithm
egg-herbie
Rules
820×fma-neg_binary64
290×fma-def_binary64
185×cancel-sign-sub-inv_binary64
159×distribute-rgt-in_binary64
118×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035813
187807
2202636
3416636
4755636
51577636
62426636
73193636
83295636
93321636
103329636
113329636
Stop Event
saturated
Counts
267 → 216
Calls
Call 1
Inputs
t
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(/.f64 (*.f64 (-.f64 z t) x) y)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(/.f64 (*.f64 z x) y)
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t 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 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
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(*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1)))
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(+.f64 (*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1))) (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1))) (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
t
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
t
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(*.f64 -1 (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(/.f64 z y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(/.f64 z y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(/.f64 z y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(*.f64 -1 (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(*.f64 -1 (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
Outputs
t
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
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(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
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(fma.f64 (/.f64 (-.f64 z t) y) x t)
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(fma.f64 (-.f64 z t) (/.f64 x y) t)
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
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(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
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(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
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(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
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(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
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(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
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(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
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(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(/.f64 (*.f64 z x) y)
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(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (/.f64 x (/.f64 y t)))
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(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y)))))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (/.f64 x (/.f64 y t)))
(-.f64 t (*.f64 t (/.f64 x y)))
(+.f64 (*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1))) (/.f64 (*.f64 z x) y))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 (*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1))) (/.f64 (*.f64 z x) y))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 (*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1))) (/.f64 (*.f64 z x) y))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
t
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
t
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(*.f64 -1 (/.f64 t y))
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(/.f64 (neg.f64 t) y)
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(-.f64 (/.f64 z y) (/.f64 t y))
(/.f64 (-.f64 z t) y)
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(-.f64 (/.f64 z y) (/.f64 t y))
(/.f64 (-.f64 z t) y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 t y))
(/.f64 (-.f64 z t) y)
(/.f64 z y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 t y))
(/.f64 (-.f64 z t) y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 t y))
(/.f64 (-.f64 z t) y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 t y))
(/.f64 (-.f64 z t) y)
(/.f64 z y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 t y))
(/.f64 (-.f64 z t) y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 t y))
(/.f64 (-.f64 z t) y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 t y))
(/.f64 (-.f64 z t) y)
(/.f64 z y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 t y))
(/.f64 (-.f64 z t) y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 t y))
(/.f64 (-.f64 z t) y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 t y))
(/.f64 (-.f64 z t) y)
(*.f64 -1 (/.f64 t y))
(neg.f64 (/.f64 t y))
(/.f64 (neg.f64 t) y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 t y))
(/.f64 (-.f64 z t) y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 t y))
(/.f64 (-.f64 z t) y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 t y))
(/.f64 (-.f64 z t) y)
(*.f64 -1 (/.f64 t y))
(neg.f64 (/.f64 t y))
(/.f64 (neg.f64 t) y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 t y))
(/.f64 (-.f64 z t) y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 t y))
(/.f64 (-.f64 z t) y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(-.f64 (/.f64 z y) (/.f64 t y))
(/.f64 (-.f64 z t) y)

prune141.0ms (3.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2160216
Fresh000
Picked011
Done033
Total2164220
Error
0b
Counts
220 → 4
Alt Table
StatusErrorProgram
6.1b
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
6.5b
(fma.f64 x (/.f64 (-.f64 z t) y) t)
2.3b
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
2.1b
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
Compiler

Compiled 7064 to 2425 computations (65.7% saved)

regimes135.0ms (3.5%)

Accuracy

Total 1.4b remaining (99.1%)

Threshold costs 0b (0%)

Counts
24 → 3
Compiler

Compiled 221 to 87 computations (60.6% saved)

bsearch46.0ms (1.2%)

Algorithm
binary-search
Calls

2 calls:

28.0ms
y
18.0ms
y
Steps
ItersPointRange
2.4e-59
∈ [
3.7900602014521806e-68
,
4.137795474625679e-55
]
-2.3e-67
∈ [
-2.377684971004894e-67
,
-1.0926757874930706e-68
]
Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02149
12649
23149
33349
43449
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y -3490733165718107/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (fma.f64 (/.f64 x y) (-.f64 z t) t) (if (<=.f64 y 2779010141695588864/115792089237316195423570985008687907853269984665640564039457584007913129639936) (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)))
Outputs
(if (<=.f64 y -3490733165718107/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (fma.f64 (/.f64 x y) (-.f64 z t) t) (if (<=.f64 y 2779010141695588864/115792089237316195423570985008687907853269984665640564039457584007913129639936) (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)))
(if (<=.f64 y -3490733165718107/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (fma.f64 (/.f64 x y) (-.f64 z t) t) (if (<=.f64 y 5427754182999197/226156424291633194186662080095093570025917938800079226639565593765455331328) (+.f64 t (/.f64 (*.f64 x (-.f64 z t)) y)) (+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))))

end65.0ms (1.7%)

Stop Event
done
Compiler

Compiled 127 to 69 computations (45.7% saved)

Profiling

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