Details

Time bar (total: 10.6s)

analyze521.0ms (4.9%)

Algorithm
1×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
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample2.2s (20.7%)

Results
1.7s8256×body256valid
510.0ms2590×body256invalid

preprocess145.0ms (1.4%)

Algorithm
2×egg-herbie
Rules
615×unsub-neg_binary64
537×associate-/l*_binary64
462×div-sub_binary64
427×fma-def_binary64
406×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03177
17677
220577
350477
4104877
5223377
6403377
7783077
044
Stop Event
1×saturated
1×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)
(fma.f64 (/.f64 (-.f64 y t) z) x 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 17 to 12 computations (29.4% saved)

simplify165.0ms (1.6%)

Algorithm
1×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
531811
654611
7103111
8200711
9300511
10365611
11369411
12372411
13372911
14372911
Stop Event
1×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)

eval1.0ms (0%)

Compiler

Compiled 21 to 10 computations (52.4% saved)

prune3.0ms (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
▶2.2b
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
▶7.3b
(fma.f64 x (/.f64 (-.f64 z t) y) t)
Compiler

Compiled 25 to 15 computations (40% saved)

localize38.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
✓5.3b
(*.f64 (/.f64 x y) (-.f64 z t))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series51.0ms (0.5%)

Counts
2 → 96
Calls

24 calls:

TimeVariablePointExpression
27.0ms
x
@inf
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
2.0ms
z
@-inf
(*.f64 (/.f64 x y) (-.f64 z t))
2.0ms
y
@inf
(*.f64 (/.f64 x y) (-.f64 z t))
2.0ms
x
@0
(*.f64 (/.f64 x y) (-.f64 z t))
1.0ms
y
@0
(*.f64 (/.f64 x y) (-.f64 z t))

rewrite403.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
562×log-prod_binary64
441×pow-prod-down_binary64
360×fma-def_binary64
296×pow2_binary64
204×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
120621
2314621
Stop Event
1×node limit
Counts
2 → 111
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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t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 z 3) (pow.f64 t 3)) (*.f64 (/.f64 y x) (fma.f64 t (+.f64 z t) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (*.f64 t t)) (*.f64 (/.f64 y x) (+.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 z t)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (-.f64 z t))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (pow.f64 z 3) (pow.f64 t 3))) (*.f64 y (fma.f64 t (+.f64 z t) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 z 3) (pow.f64 t 3))) (*.f64 (neg.f64 y) (fma.f64 t (+.f64 z t) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 z z) (*.f64 t t))) (*.f64 y (+.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 (*.f64 z z) (*.f64 t t))) (*.f64 (neg.f64 y) (+.f64 z t)))))) 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(-.f64 z t) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 x y) (-.f64 z t) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 t)) (pow.f64 (exp.f64 (-.f64 z t)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 t) (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 t)) (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 z t)))) (exp.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 z t)) (/.f64 x y)) (+.f64 1 (expm1.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 z t)))) (+.f64 1 (expm1.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 x y) (-.f64 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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)))))

simplify224.0ms (2.1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
0331062
1811056
2193948
3407948
4744948
51553948
62960948
73667948
83765948
93791948
103799948
113799948
Stop Event
1×saturated
Counts
207 → 130
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 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 (/.f64 t y) (neg.f64 x))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.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 x (/.f64 y (-.f64 z t)))
(*.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 x (/.f64 y (-.f64 z t)))
(*.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 x (/.f64 y (-.f64 z t)))
(*.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 x (/.f64 y (-.f64 z t)))
(*.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 x (/.f64 y (-.f64 z t)))
(*.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 x (/.f64 y (-.f64 z t)))
(*.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 x (/.f64 y (-.f64 z t)))
(*.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 x (/.f64 y (-.f64 z t)))
(*.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 x (/.f64 y (-.f64 z t)))
(*.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 x (/.f64 y (-.f64 z t)))
(*.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 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 (/.f64 t y) (neg.f64 x))
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(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.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 x (/.f64 y (-.f64 z t)))
(*.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 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 (/.f64 t y) (neg.f64 x))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.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 x (/.f64 y (-.f64 z t)))
(*.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 x (/.f64 y (-.f64 z t)))
(*.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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(/.f64 x (/.f64 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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
(fma.f64 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(fma.f64 x (/.f64 (neg.f64 t) y) t)
(fma.f64 t (/.f64 (neg.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)
(fma.f64 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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)
(fma.f64 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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)
(fma.f64 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 z (/.f64 x y))
(+.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)
(fma.f64 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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)
(fma.f64 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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)
(fma.f64 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 z (/.f64 x y))
(+.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)
(fma.f64 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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)
(fma.f64 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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)
(fma.f64 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(fma.f64 x (/.f64 (neg.f64 t) y) t)
(fma.f64 t (/.f64 (neg.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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(fma.f64 x (/.f64 (neg.f64 t) y) t)
(fma.f64 t (/.f64 (neg.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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 z t) y)
✓7.0b
(fma.f64 x (/.f64 (-.f64 z t) y) t)
Compiler

Compiled 24 to 7 computations (70.8% saved)

series27.0ms (0.3%)

Counts
2 → 72
Calls

21 calls:

TimeVariablePointExpression
6.0ms
z
@0
(fma.f64 x (/.f64 (-.f64 z t) y) t)
4.0ms
z
@inf
(fma.f64 x (/.f64 (-.f64 z t) y) t)
1.0ms
z
@-inf
(fma.f64 x (/.f64 (-.f64 z t) y) t)
1.0ms
t
@-inf
(fma.f64 x (/.f64 (-.f64 z t) y) t)
1.0ms
t
@0
(fma.f64 x (/.f64 (-.f64 z t) y) t)

rewrite405.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
610×prod-diff_binary64
481×log-prod_binary64
308×pow-prod-down_binary64
258×pow2_binary64
211×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
117818
2262718
Stop Event
1×node limit
Counts
2 → 214
Calls
Call 1
Inputs
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(/.f64 (-.f64 z t) y)
Outputs
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simplify173.0ms (1.6%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
035813
187807
2202636
3417636
4758636
51582636
62431636
73207636
83309636
93335636
103343636
113343636
Stop Event
1×saturated
Counts
286 → 235
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))))
(+.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))
(/.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)
(+.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)
(+.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)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (-.f64 z t) (/.f64 x y))
(+.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)
(+.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)
(+.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)
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.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)
(+.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)
(+.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)
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (/.f64 (*.f64 t x) y))
(-.f64 t (*.f64 t (/.f64 x y)))
(+.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)
(fma.f64 (/.f64 (-.f64 z t) y) x 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)
(fma.f64 (/.f64 (-.f64 z t) y) x 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)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(+.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)
(fma.f64 (/.f64 (-.f64 z t) y) x 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)
(fma.f64 (/.f64 (-.f64 z t) y) x 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)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(+.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)
(fma.f64 (/.f64 (-.f64 z t) y) x 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)
(fma.f64 (/.f64 (-.f64 z t) y) x 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)
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.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)
(+.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)
(+.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)
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (/.f64 (*.f64 t x) y))
(-.f64 t (*.f64 t (/.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)
(+.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)
(+.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)
(*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (/.f64 (*.f64 t x) y))
(-.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)
(+.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)
(+.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)
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.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)
(+.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)
(+.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)
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)
(+.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)
(+.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)
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)
(+.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)
(+.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)
(*.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 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)

eval109.0ms (1%)

Compiler

Compiled 8950 to 3047 computations (66% saved)

prune75.0ms (0.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New35312365
Fresh000
Picked101
Done101
Total35512367
Error
0b
Counts
367 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
7.0b
(+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t)
31.2b
t
15.7b
(+.f64 (/.f64 (*.f64 z x) y) t)
21.7b
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
▶26.2b
(+.f64 (*.f64 (/.f64 t y) (neg.f64 x)) t)
▶43.5b
(*.f64 z (/.f64 x y))
46.9b
(/.f64 (*.f64 z x) y)
▶21.7b
(-.f64 t (*.f64 t (/.f64 x y)))
7.3b
(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
38.9b
(/.f64 (*.f64 (-.f64 z t) x) y)
▶34.8b
(*.f64 (-.f64 z t) (/.f64 x y))
▶2.1b
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
Compiler

Compiled 257 to 168 computations (34.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
✓5.3b
(/.f64 (-.f64 z t) (/.f64 y x))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series7.0ms (0.1%)

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

rewrite82.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
645×log-prod_binary64
400×fma-def_binary64
314×pow2_binary64
297×fma-neg_binary64
217×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
121421
2354321
Stop Event
1×node limit
Counts
2 → 157
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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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)))))

simplify136.0ms (1.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
0331674
1811020
2193948
3407948
4740948
51553948
62926948
73630948
83728948
93754948
103762948
113762948
Stop Event
1×saturated
Counts
253 → 175
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))))
(+.f64 t (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y))))
(/.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 (/.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))
(/.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 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 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 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 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 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 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 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 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 x (/.f64 y (-.f64 z t)))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
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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)
(+.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)
(+.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)
(+.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)
(*.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 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)
(+.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)
(+.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)
(/.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 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)
(+.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)
(+.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)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.8b
(*.f64 z (/.f64 x y))
Compiler

Compiled 15 to 6 computations (60% saved)

series6.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite52.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
681×pow1_binary64
628×add-log-exp_binary64
628×log1p-expm1-u_binary64
628×expm1-log1p-u_binary64
613×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11257
216727
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 z (/.f64 x y))
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 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 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 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 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))))))))

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06252
19252
213252
316252
417252
Stop Event
1×saturated
Counts
58 → 23
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))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.3b
(*.f64 (-.f64 z t) (/.f64 x y))
Compiler

Compiled 21 to 7 computations (66.7% saved)

series4.0ms (0%)

Counts
1 → 48
Calls

12 calls:

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

rewrite62.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
481×log-prod_binary64
377×prod-diff_binary64
361×exp-prod_binary64
345×pow-prod-down_binary64
250×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117610
2256810
Stop Event
1×node limit
Counts
1 → 54
Calls
Call 1
Inputs
(*.f64 (-.f64 z t) (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 z t) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 x y)) (*.f64 (neg.f64 t) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) z) (*.f64 (/.f64 x y) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (-.f64 z t))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (-.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (-.f64 z t)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (-.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 z t) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 z t) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (-.f64 z t) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 z 3) (pow.f64 t 3)) (*.f64 (/.f64 y x) (fma.f64 z z (*.f64 t (+.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z t) (-.f64 z t)) (*.f64 (/.f64 y x) (+.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 z t) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 z t) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 t 3)) x) (*.f64 (fma.f64 z z (*.f64 t (+.f64 z t))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 z t) (-.f64 z t)) x) (*.f64 (+.f64 z t) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 t 3)) 1) (*.f64 (fma.f64 z z (*.f64 t (+.f64 z t))) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 z t) (-.f64 z t)) 1) (*.f64 (+.f64 z t) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 t 3)) (neg.f64 x)) (*.f64 (fma.f64 z z (*.f64 t (+.f64 z t))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 z t) (-.f64 z t)) (neg.f64 x)) (*.f64 (+.f64 z t) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (pow.f64 z 3) (pow.f64 t 3))) (*.f64 y (fma.f64 z z (*.f64 t (+.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 z 3) (pow.f64 t 3))) (*.f64 (neg.f64 y) (fma.f64 z z (*.f64 t (+.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 z t) (-.f64 z t))) (*.f64 y (+.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 z t) (-.f64 z t))) (*.f64 (neg.f64 y) (+.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 z t) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 z t) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 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(/.f64 x y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (/.f64 x y) (*.f64 (neg.f64 t) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) z (*.f64 (/.f64 x y) (neg.f64 t)))))))

simplify90.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
754×fma-def_binary64
475×fma-neg_binary64
151×cancel-sign-sub-inv_binary64
102×distribute-rgt-in_binary64
101×div-sub_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015804
129468
264468
3122468
4239468
5423468
6743468
71159468
81964468
92794468
102873468
112903468
122908468
132908468
Stop Event
1×saturated
Counts
102 → 60
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)))
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(+.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)))
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(/.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)
Outputs
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(/.f64 x (/.f64 y (neg.f64 t)))
(/.f64 (*.f64 x (neg.f64 t)) y)
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(*.f64 x (/.f64 (-.f64 z t) y))
(/.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 x (/.f64 (-.f64 z t) y))
(/.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 x (/.f64 (-.f64 z t) y))
(/.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 x (/.f64 (-.f64 z t) y))
(/.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 x (/.f64 (-.f64 z t) y))
(/.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 x (/.f64 (-.f64 z t) y))
(/.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 x (/.f64 (-.f64 z t) y))
(/.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 x (/.f64 (-.f64 z t) y))
(/.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 x (/.f64 (-.f64 z t) y))
(/.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 x (/.f64 (-.f64 z t) y))
(/.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 x (/.f64 (-.f64 z t) y))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 t (*.f64 t (/.f64 x y)))
✓3.0b
(*.f64 t (/.f64 x y))
Compiler

Compiled 22 to 7 computations (68.2% saved)

series10.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite66.0ms (0.6%)

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

simplify56.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
016582
140582
286582
3180582
4286582
5497582
6876582
71037582
81225582
91348582
101353582
Stop Event
1×saturated
Counts
132 → 67
Calls
Call 1
Inputs
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(/.f64 (*.f64 t x) y)
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
t
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
t
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
t
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
Outputs
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(/.f64 t (/.f64 y x))
(*.f64 (/.f64 t y) x)
(*.f64 t (/.f64 x y))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
t
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 (/.f64 t y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 t) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 (/.f64 t y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 t) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 (/.f64 t y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 t) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
t
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
t
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 (/.f64 t y) (neg.f64 x)) t)
✓7.5b
(*.f64 (/.f64 t y) (neg.f64 x))
Compiler

Compiled 26 to 8 computations (69.2% saved)

series5.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite81.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
953×pow1_binary64
885×add-log-exp_binary64
884×log1p-expm1-u_binary64
884×expm1-log1p-u_binary64
97×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
118215
2273315
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(*.f64 (/.f64 t y) (neg.f64 x))
(+.f64 (*.f64 (/.f64 t y) (neg.f64 x)) t)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 t (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 t (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 t (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 t x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 t) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 t)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 t (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 t (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 t (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 t (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 t (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 t (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 t (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 t (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 t (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 t (/.f64 y x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 t (/.f64 t (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 t y) x t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 t (/.f64 y x)) 2) (-.f64 (/.f64 t (/.f64 y x)) t)) (/.f64 (*.f64 t t) (-.f64 (/.f64 t (/.f64 y x)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 t y) x t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 t y) x t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 t y) x t)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 t y) x t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 t y) x t)) 2) (cbrt.f64 (fma.f64 (/.f64 t y) x t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 t y) x t)) (sqrt.f64 (fma.f64 (/.f64 t y) x t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 t (/.f64 y x)) 3) (pow.f64 t 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 t (/.f64 y x)) 2) (*.f64 t (fma.f64 (/.f64 t y) x t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 t (/.f64 y x)) 2) (*.f64 t t)) (/.f64 1 (-.f64 (/.f64 t (/.f64 y x)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 t (/.f64 y x)) 2) (*.f64 t (fma.f64 (/.f64 t y) x t))) (+.f64 (pow.f64 (/.f64 t (/.f64 y x)) 3) (pow.f64 t 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 t (/.f64 y x)) t) (-.f64 (pow.f64 (/.f64 t (/.f64 y x)) 2) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 t (/.f64 y x)) 3) (pow.f64 t 3)) (+.f64 (pow.f64 (/.f64 t (/.f64 y x)) 2) (*.f64 t (fma.f64 (/.f64 t y) x t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 t (/.f64 y x)) 3) (pow.f64 t 3)) (+.f64 (*.f64 t t) (-.f64 (pow.f64 (/.f64 t (/.f64 y x)) 2) (*.f64 t (/.f64 t (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 t (/.f64 y x)) 2) (*.f64 t t)) (-.f64 (/.f64 t (/.f64 y x)) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (/.f64 y x)) 3) (pow.f64 t 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 t (/.f64 y x)) 2) (*.f64 t (fma.f64 (/.f64 t y) x t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t (/.f64 y x)) 2) (*.f64 t t))) (neg.f64 (-.f64 (/.f64 t (/.f64 y x)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 t t) (pow.f64 (/.f64 t (/.f64 y x)) 2)) (fma.f64 (/.f64 t y) x t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 t y) x t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 t y) x t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 t y) x t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 t y) x t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 t y) x t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 t y) x t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 t y) x t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 t y) x t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 t y) x t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 t y) x t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 t y) x t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 t y) x t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 t y) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 t (/.f64 t (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 t (/.f64 y x)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 t) (/.f64 t (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 t (/.f64 y x))) 2) (cbrt.f64 (/.f64 t (/.f64 y x))) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (sqrt.f64 t) (/.f64 t (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 t (/.f64 y x))) (sqrt.f64 (/.f64 t (/.f64 y x))) t)))))

simplify85.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
343×fma-def_binary64
155×fma-neg_binary64
78×associate-*r*_binary64
68×distribute-rgt-in_binary64
65×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017714
146654
2112654
3245654
4412654
5872654
61457654
71473654
81487654
91513654
Stop Event
1×saturated
Counts
133 → 68
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1)))
(*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1)))
(*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1)))
(*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
t
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
t
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
t
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
Outputs
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
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(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
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(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
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(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
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(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
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(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
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(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
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(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
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(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
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(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
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(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
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(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
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(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
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(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
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(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
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(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
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(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
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(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (*.f64 x (/.f64 t y)))
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(-.f64 t (*.f64 (/.f64 t y) x))
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(-.f64 t (*.f64 x (/.f64 t y)))
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(-.f64 t (*.f64 (/.f64 t y) x))
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(-.f64 t (*.f64 (/.f64 t y) x))
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(-.f64 t (*.f64 (/.f64 t y) x))
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(*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1)))
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(-.f64 t (*.f64 x (/.f64 t y)))
t
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
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(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (*.f64 x (/.f64 t y)))
t
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t
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(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (+.f64 1 (neg.f64 (/.f64 x y))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (*.f64 x (/.f64 t y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (+.f64 1 (neg.f64 (/.f64 x y))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (*.f64 x (/.f64 t y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (+.f64 1 (neg.f64 (/.f64 x y))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (*.f64 x (/.f64 t y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(/.f64 (neg.f64 t) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 t) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (+.f64 1 (neg.f64 (/.f64 x y))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (*.f64 x (/.f64 t y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (+.f64 1 (neg.f64 (/.f64 x y))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (*.f64 x (/.f64 t y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 t (+.f64 1 (neg.f64 (/.f64 x y))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (*.f64 x (/.f64 t y)))

eval129.0ms (1.2%)

Compiler

Compiled 5431 to 1459 computations (73.1% saved)

prune136.0ms (1.3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New38310393
Fresh617
Picked101
Done134
Total39114405
Error
0b
Counts
405 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
55.9b
(*.f64 x (/.f64 (neg.f64 t) y))
38.9b
(/.f64 (*.f64 (-.f64 z t) x) y)
▶46.9b
(/.f64 (*.f64 z x) y)
▶15.7b
(+.f64 (/.f64 (*.f64 z x) y) t)
✓43.5b
(*.f64 z (/.f64 x y))
▶54.3b
(/.f64 (*.f64 x (neg.f64 t)) y)
▶44.3b
(*.f64 x (/.f64 z y))
21.7b
(*.f64 t (-.f64 1 (/.f64 x y)))
✓21.7b
(-.f64 t (*.f64 t (/.f64 x y)))
47.0b
(/.f64 1 (/.f64 y (*.f64 z x)))
43.5b
(/.f64 z (/.f64 y x))
▶7.0b
(+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t)
✓34.8b
(*.f64 (-.f64 z t) (/.f64 x y))
31.2b
t
Compiler

Compiled 244 to 164 computations (32.8% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t)
✓0.0b
(/.f64 y (-.f64 z t))
✓7.8b
(/.f64 x (/.f64 y (-.f64 z t)))
Compiler

Compiled 32 to 8 computations (75% saved)

series23.0ms (0.2%)

Counts
3 → 120
Calls

33 calls:

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

rewrite115.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
611×log-prod_binary64
398×pow-prod-down_binary64
359×fma-def_binary64
306×pow2_binary64
217×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0930
121128
2338128
Stop Event
1×node limit
Counts
3 → 162
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (-.f64 z t)))
(/.f64 y (-.f64 z t))
(+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t)
Outputs
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(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)))))

simplify126.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
651×associate-/r/_binary64
473×unswap-sqr_binary64
388×sub-neg_binary64
335×div-sub_binary64
334×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0711686
12091662
26331446
328391407
460971407
Stop Event
1×node limit
Counts
282 → 194
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)))
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(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
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(/.f64 (*.f64 z x) y)
(+.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 -1 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
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(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
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(*.f64 -1 (/.f64 y t))
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(/.f64 y z)
(+.f64 (/.f64 (*.f64 y t) (pow.f64 z 2)) (/.f64 y z))
(+.f64 (/.f64 (*.f64 y t) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 y (pow.f64 t 2)) (pow.f64 z 3)) (/.f64 y z)))
(+.f64 (/.f64 (*.f64 y t) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 y (pow.f64 t 3)) (pow.f64 z 4)) (+.f64 (/.f64 (*.f64 y (pow.f64 t 2)) (pow.f64 z 3)) (/.f64 y z))))
(/.f64 y z)
(+.f64 (/.f64 (*.f64 y t) (pow.f64 z 2)) (/.f64 y z))
(+.f64 (/.f64 (*.f64 y t) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 y (pow.f64 t 2)) (pow.f64 z 3)) (/.f64 y z)))
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(/.f64 y z)
(+.f64 (/.f64 (*.f64 y t) (pow.f64 z 2)) (/.f64 y z))
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(*.f64 -1 (/.f64 y t))
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(*.f64 -1 (/.f64 y t))
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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 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.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 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.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 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.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 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.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 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.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 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.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 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.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 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.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 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.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 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.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 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.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 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.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 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.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 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.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 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (/.f64 (-.f64 z t) y) x)
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(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
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(/.f64 (-.f64 z t) (/.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 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.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 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.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 z t) (/.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 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (/.f64 (-.f64 z t) y) x)
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(*.f64 (-.f64 z t) (/.f64 x y))
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(*.f64 (/.f64 (-.f64 z t) y) x)
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(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.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 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(*.f64 (/.f64 x y) (neg.f64 t))
(*.f64 t (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 t) 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) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.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) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.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) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.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 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.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 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.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 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.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 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
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(+.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) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.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) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.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) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.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))
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(/.f64 (-.f64 z t) (/.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 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.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 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (-.f64 z t) (/.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 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(*.f64 (/.f64 x y) (neg.f64 t))
(*.f64 t (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 t) 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) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.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) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.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) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(*.f64 (/.f64 x y) (neg.f64 t))
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(*.f64 x (/.f64 (neg.f64 t) y))
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(/.f64 (-.f64 z t) (/.f64 y x))
(*.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 z t) (/.f64 y x))
(*.f64 (/.f64 (-.f64 z t) y) x)
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(/.f64 (neg.f64 y) t)
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(fma.f64 -1 (/.f64 y (/.f64 (*.f64 t t) z)) (neg.f64 (/.f64 y t)))
(-.f64 (/.f64 (neg.f64 y) t) (*.f64 (/.f64 y t) (/.f64 z t)))
(*.f64 (/.f64 y t) (-.f64 -1 (/.f64 z t)))
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(fma.f64 -1 (/.f64 y (/.f64 (*.f64 t t) z)) (fma.f64 -1 (/.f64 y (/.f64 (pow.f64 t 3) (*.f64 z z))) (neg.f64 (/.f64 y t))))
(-.f64 (-.f64 (/.f64 (neg.f64 y) t) (/.f64 (*.f64 z z) (/.f64 (pow.f64 t 3) y))) (*.f64 (/.f64 y t) (/.f64 z t)))
(-.f64 (/.f64 (neg.f64 y) t) (*.f64 (/.f64 y (*.f64 t t)) (+.f64 z (*.f64 (/.f64 z t) z))))
(*.f64 (/.f64 y t) (-.f64 -1 (*.f64 (+.f64 1 (/.f64 z t)) (/.f64 z t))))
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(-.f64 (neg.f64 (fma.f64 (/.f64 y (pow.f64 t 4)) (pow.f64 z 3) (/.f64 y t))) (*.f64 (/.f64 y (*.f64 t t)) (+.f64 z (*.f64 (/.f64 z t) z))))
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(/.f64 y z)
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(*.f64 (+.f64 (/.f64 t z) 1) (/.f64 y z))
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(*.f64 (/.f64 y z) (+.f64 (/.f64 t z) (+.f64 1 (*.f64 (/.f64 t z) (/.f64 t z)))))
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(/.f64 y z)
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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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(*.f64 -1 (*.f64 t (-.f64 (/.f64 x y) 1)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (/.f64 t (/.f64 y x)))
(-.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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) 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 x (-.f64 (/.f64 z y) (/.f64 t y)) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.7b
(*.f64 x (/.f64 z y))
Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite67.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
681×pow1_binary64
628×add-log-exp_binary64
628×log1p-expm1-u_binary64
628×expm1-log1p-u_binary64
613×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11257
216727
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 x (/.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 (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 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 sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 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))))))))

simplify23.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06252
19252
213252
316252
417252
Stop Event
1×saturated
Counts
58 → 24
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))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓8.4b
(/.f64 (*.f64 z x) y)
Compiler

Compiled 15 to 6 computations (60% saved)

series5.0ms (0%)

Counts
1 → 0
Calls

9 calls:

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

rewrite74.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
712×pow1_binary64
659×add-log-exp_binary64
659×log1p-expm1-u_binary64
659×expm1-log1p-u_binary64
644×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11257
217317
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 z 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 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (cbrt.f64 (*.f64 (/.f64 z 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 (/.f64 z y) x)) (sqrt.f64 (*.f64 (/.f64 z 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 x (neg.f64 z)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 z 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 pow.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z 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 (*.f64 z x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z 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 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z y) x)))))))

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
41 → 41
Calls
Call 1
Inputs
Outputs

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.5b
(/.f64 (*.f64 x (neg.f64 t)) y)
Compiler

Compiled 19 to 7 computations (63.2% saved)

series4.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite78.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
726×pow1_binary64
672×add-log-exp_binary64
671×log1p-expm1-u_binary64
671×expm1-log1p-u_binary64
657×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11507
221717
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 (*.f64 x (neg.f64 t)) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 x y) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 t (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x t) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x t) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x y) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x t)) 2) (*.f64 (cbrt.f64 (*.f64 x t)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x y) t)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) t)) 2) (cbrt.f64 (*.f64 (/.f64 x y) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x t)) (*.f64 (sqrt.f64 (*.f64 x t)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 x y) t)) (sqrt.f64 (*.f64 (/.f64 x y) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x t)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x t)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x t)) 1) (/.f64 (sqrt.f64 (*.f64 x t)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 t (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (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 t) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x t)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 x y) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x t)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x t)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 t (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x t) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x t)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x t)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y x) t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 x y) t))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x y) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x t) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) t)))))))

simplify41.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
08324
115324
235324
369324
4114324
5162324
6202324
7238324
8275324
9394324
10445324
Stop Event
1×saturated
Counts
77 → 43
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
Outputs
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
8.4b
(/.f64 (*.f64 z x) y)
Compiler

Compiled 23 to 7 computations (69.6% saved)

eval110.0ms (1%)

Compiler

Compiled 4439 to 1453 computations (67.3% saved)

prune110.0ms (1%)

Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New3403343
Fresh156
Picked011
Done077
Total34116357
Error
0b
Counts
357 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
▶55.9b
(*.f64 x (/.f64 (neg.f64 t) y))
38.9b
(/.f64 (*.f64 (-.f64 z t) x) y)
✓46.9b
(/.f64 (*.f64 z x) y)
✓15.7b
(+.f64 (/.f64 (*.f64 z x) y) t)
✓43.5b
(*.f64 z (/.f64 x y))
✓54.3b
(/.f64 (*.f64 x (neg.f64 t)) y)
▶21.7b
(*.f64 t (-.f64 1 (/.f64 x y)))
26.2b
(+.f64 (/.f64 x (/.f64 (neg.f64 y) t)) t)
▶43.5b
(/.f64 z (/.f64 y x))
▶53.5b
(*.f64 t (neg.f64 (/.f64 x y)))
✓44.3b
(*.f64 x (/.f64 z y))
✓21.7b
(-.f64 t (*.f64 t (/.f64 x y)))
▶44.0b
(/.f64 x (/.f64 y z))
✓7.0b
(+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t)
✓34.8b
(*.f64 (-.f64 z t) (/.f64 x y))
31.2b
t
Compiler

Compiled 232 to 156 computations (32.8% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1 (/.f64 x y))
✓1.3b
(*.f64 t (-.f64 1 (/.f64 x y)))
Compiler

Compiled 23 to 11 computations (52.2% saved)

series13.0ms (0.1%)

Counts
2 → 48
Calls

15 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(*.f64 t (-.f64 1 (/.f64 x y)))
1.0ms
t
@0
(*.f64 t (-.f64 1 (/.f64 x y)))
1.0ms
y
@0
(*.f64 t (-.f64 1 (/.f64 x y)))
1.0ms
x
@0
(*.f64 t (-.f64 1 (/.f64 x y)))
1.0ms
t
@inf
(*.f64 t (-.f64 1 (/.f64 x y)))

rewrite80.0ms (0.8%)

Algorithm
1×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
0817
116717
2220017
Stop Event
1×node limit
Counts
2 → 47
Calls
Call 1
Inputs
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 t (*.f64 (/.f64 (neg.f64 x) y) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 t (*.f64 t (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (-.f64 1 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) t) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) t) (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (-.f64 1 (pow.f64 (/.f64 x y) 3))) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (-.f64 1 (pow.f64 (/.f64 x y) 2))) (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (-.f64 1 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (-.f64 1 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (-.f64 1 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (-.f64 1 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (-.f64 1 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (-.f64 1 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (-.f64 1 (/.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (-.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (-.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (-.f64 1 (/.f64 x y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (neg.f64 x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (cbrt.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (sqrt.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (-.f64 1 (pow.f64 (/.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 x y)) (-.f64 1 (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2))) (neg.f64 (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 x) y) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) (/.f64 (neg.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (neg.f64 x) y)))))))

simplify82.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
365×fma-def_binary64
218×fma-neg_binary64
74×cancel-sign-sub-inv_binary64
45×distribute-rgt-in_binary64
44×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013429
128357
257357
397357
4158357
5272357
6458357
7695357
81035357
91441357
101455357
111469357
121474357
Stop Event
1×saturated
Counts
95 → 57
Calls
Call 1
Inputs
t
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
t
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
t
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
Outputs
t
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 t) (/.f64 y x))
(/.f64 (neg.f64 x) (/.f64 y t))
(*.f64 (/.f64 x y) (neg.f64 t))
(*.f64 x (/.f64 (neg.f64 t) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 t) (/.f64 y x))
(/.f64 (neg.f64 x) (/.f64 y t))
(*.f64 (/.f64 x y) (neg.f64 t))
(*.f64 x (/.f64 (neg.f64 t) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 t) (/.f64 y x))
(/.f64 (neg.f64 x) (/.f64 y t))
(*.f64 (/.f64 x y) (neg.f64 t))
(*.f64 x (/.f64 (neg.f64 t) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
t
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
t
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 t (*.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 t (/.f64 y x))))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 x (/.f64 t y)))
(-.f64 t (*.f64 t (/.f64 x y)))
(-.f64 t (/.f64 (*.f64 t x) y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 15 to 6 computations (60% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite59.0ms (0.6%)

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

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06252
19252
213252
316252
417252
Stop Event
1×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))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.8b
(/.f64 z (/.f64 y x))
Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite81.0ms (0.8%)

Algorithm
1×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
1×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))))))))

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.0b
(*.f64 t (neg.f64 (/.f64 x y)))
Compiler

Compiled 20 to 7 computations (65% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite51.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
692×pow1_binary64
638×add-log-exp_binary64
637×log1p-expm1-u_binary64
637×expm1-log1p-u_binary64
624×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11497
220337
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 t (neg.f64 (/.f64 x y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 t (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 t (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) t) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (neg.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 t (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 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 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (/.f64 x y))))))))

simplify28.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
08324
115324
235324
369324
4114324
5162324
6202324
7238324
8275324
9394324
10445324
Stop Event
1×saturated
Counts
56 → 22
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(*.f64 -1 (/.f64 (*.f64 t x) y))
Outputs
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓7.5b
(*.f64 x (/.f64 (neg.f64 t) y))
Compiler

Compiled 19 to 7 computations (63.2% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite53.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

simplify28.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

eval37.0ms (0.3%)

Compiler

Compiled 1806 to 764 computations (57.7% saved)

prune34.0ms (0.3%)

Pruning

16 alts after pruning (3 fresh and 13 done)

PrunedKeptTotal
New1860186
Fresh033
Picked011
Done01212
Total18616202
Error
0b
Counts
202 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
✓55.9b
(*.f64 x (/.f64 (neg.f64 t) y))
38.9b
(/.f64 (*.f64 (-.f64 z t) x) y)
✓46.9b
(/.f64 (*.f64 z x) y)
✓15.7b
(+.f64 (/.f64 (*.f64 z x) y) t)
✓43.5b
(*.f64 z (/.f64 x y))
✓54.3b
(/.f64 (*.f64 x (neg.f64 t)) y)
✓21.7b
(*.f64 t (-.f64 1 (/.f64 x y)))
26.2b
(+.f64 (/.f64 x (/.f64 (neg.f64 y) t)) t)
✓43.5b
(/.f64 z (/.f64 y x))
✓53.5b
(*.f64 t (neg.f64 (/.f64 x y)))
✓44.3b
(*.f64 x (/.f64 z y))
✓21.7b
(-.f64 t (*.f64 t (/.f64 x y)))
✓44.0b
(/.f64 x (/.f64 y z))
✓7.0b
(+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t)
✓34.8b
(*.f64 (-.f64 z t) (/.f64 x y))
31.2b
t
Compiler

Compiled 160 to 107 computations (33.1% saved)

regimes108.0ms (1%)

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

7 calls:

17.0ms
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
16.0ms
x
15.0ms
t
14.0ms
y
14.0ms
z
Results
ErrorSegmentsBranch
2.1b1x
2.1b1y
2.1b1z
2.1b1t
2.1b1(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
2.1b1(/.f64 x y)
2.1b1(/.f64 x y)
Compiler

Compiled 228 to 92 computations (59.6% saved)

regimes337.0ms (3.2%)

Counts
24 → 4
Calls
Call 1
Inputs
t
t
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(/.f64 z (/.f64 y x))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 x (/.f64 (neg.f64 t) y))
(/.f64 (*.f64 x (neg.f64 t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 t (-.f64 1 (/.f64 x y)))
(/.f64 1 (/.f64 y (*.f64 z x)))
(+.f64 (/.f64 (*.f64 z x) y) t)
(-.f64 t (*.f64 t (/.f64 x y)))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 (/.f64 x (/.f64 (neg.f64 y) t)) t)
(+.f64 (*.f64 (/.f64 t y) (neg.f64 x)) t)
(+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t)
(+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t)
(*.f64 t (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
Outputs
(+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t)
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t)
(*.f64 (-.f64 z t) (/.f64 x y))
Calls

6 calls:

74.0ms
(/.f64 x y)
71.0ms
(/.f64 x y)
66.0ms
t
53.0ms
z
33.0ms
x
Results
ErrorSegmentsBranch
4.2b3x
5.4b3y
4.6b5z
3.4b3t
3.4b4(/.f64 x y)
3.4b4(/.f64 x y)
Compiler

Compiled 189 to 79 computations (58.2% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
3.878231596259791e-20
8.180841502188443e-15
0.0ms
-9.395947580154422e-132
-1.3241583667753781e-132
0.0ms
-4.6523960489266215e-61
-3.826562225860637e-66
Compiler

Compiled 20 to 14 computations (30% saved)

regimes391.0ms (3.7%)

Counts
20 → 3
Calls
Call 1
Inputs
t
t
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(/.f64 z (/.f64 y x))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 x (/.f64 (neg.f64 t) y))
(/.f64 (*.f64 x (neg.f64 t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 t (-.f64 1 (/.f64 x y)))
(/.f64 1 (/.f64 y (*.f64 z x)))
(+.f64 (/.f64 (*.f64 z x) y) t)
(-.f64 t (*.f64 t (/.f64 x y)))
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 (/.f64 x (/.f64 (neg.f64 y) t)) t)
(+.f64 (*.f64 (/.f64 t y) (neg.f64 x)) t)
Outputs
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(*.f64 (-.f64 z t) (/.f64 x y))
Calls

6 calls:

192.0ms
x
49.0ms
y
47.0ms
z
45.0ms
t
27.0ms
(/.f64 x y)
Results
ErrorSegmentsBranch
11.3b3x
12.8b5y
9.7b5z
9.5b5t
5.0b3(/.f64 x y)
5.0b3(/.f64 x y)
Compiler

Compiled 153 to 68 computations (55.6% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.878231596259791e-20
8.180841502188443e-15
0.0ms
-47604216.212057374
-1072.7522118505865
Compiler

Compiled 20 to 14 computations (30% saved)

regimes741.0ms (7%)

Counts
17 → 3
Calls
Call 1
Inputs
t
t
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(/.f64 z (/.f64 y x))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 x (/.f64 (neg.f64 t) y))
(/.f64 (*.f64 x (neg.f64 t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 t (-.f64 1 (/.f64 x y)))
(/.f64 1 (/.f64 y (*.f64 z x)))
(+.f64 (/.f64 (*.f64 z x) y) t)
(-.f64 t (*.f64 t (/.f64 x y)))
(/.f64 (*.f64 (-.f64 z t) x) y)
Outputs
(/.f64 (*.f64 (-.f64 z t) x) y)
(+.f64 (/.f64 (*.f64 z x) y) t)
(/.f64 (*.f64 (-.f64 z t) x) y)
Calls

6 calls:

453.0ms
z
169.0ms
(/.f64 x y)
42.0ms
y
27.0ms
t
25.0ms
x
Results
ErrorSegmentsBranch
14.0b2x
12.8b5y
9.7b5z
10.5b3t
7.9b3(/.f64 x y)
7.9b3(/.f64 x y)
Compiler

Compiled 130 to 59 computations (54.6% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0007123988114351888
0.013548508334964824
0.0ms
-47604216.212057374
-1072.7522118505865
Compiler

Compiled 20 to 14 computations (30% saved)

regimes178.0ms (1.7%)

Counts
14 → 3
Calls
Call 1
Inputs
t
t
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(/.f64 z (/.f64 y x))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 x (/.f64 (neg.f64 t) y))
(/.f64 (*.f64 x (neg.f64 t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 t (-.f64 1 (/.f64 x y)))
(/.f64 1 (/.f64 y (*.f64 z x)))
Outputs
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 t (-.f64 1 (/.f64 x y)))
(/.f64 (*.f64 (-.f64 z t) x) y)
Calls

6 calls:

49.0ms
t
34.0ms
x
29.0ms
z
22.0ms
y
20.0ms
(/.f64 x y)
Results
ErrorSegmentsBranch
16.7b5x
19.3b3y
17.4b3z
14.7b5t
14.3b3(/.f64 x y)
14.3b3(/.f64 x y)
Compiler

Compiled 109 to 56 computations (48.6% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.8010029307560928e+53
2.1062068275620306e+56
0.0ms
-0.07270942341233998
-0.000997078928181566
Compiler

Compiled 20 to 14 computations (30% saved)

regimes230.0ms (2.2%)

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

6 calls:

59.0ms
t
54.0ms
z
45.0ms
x
29.0ms
y
19.0ms
(/.f64 x y)
Results
ErrorSegmentsBranch
20.3b7x
23.8b3y
22.7b7z
19.3b9t
15.3b3(/.f64 x y)
15.3b3(/.f64 x y)
Compiler

Compiled 95 to 50 computations (47.4% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0007123988114351888
0.013548508334964824
0.0ms
-0.07270942341233998
-0.000997078928181566
Compiler

Compiled 20 to 14 computations (30% saved)

regimes172.0ms (1.6%)

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

6 calls:

42.0ms
t
28.0ms
y
28.0ms
(/.f64 x y)
28.0ms
(/.f64 x y)
23.0ms
z
Results
ErrorSegmentsBranch
23.5b3x
27.6b5y
25.4b3z
21.8b7t
18.4b4(/.f64 x y)
18.4b4(/.f64 x y)
Compiler

Compiled 88 to 47 computations (46.6% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.9873979293258627e+118
2.347491114151452e+119
0.0ms
0.0007123988114351888
0.013548508334964824
0.0ms
-0.07270942341233998
-0.000997078928181566
Compiler

Compiled 20 to 14 computations (30% saved)

regimes141.0ms (1.3%)

Counts
8 → 3
Calls
Call 1
Inputs
t
t
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(/.f64 z (/.f64 y x))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
Outputs
(/.f64 x (/.f64 y z))
t
(/.f64 z (/.f64 y x))
Calls

6 calls:

31.0ms
x
31.0ms
y
24.0ms
t
23.0ms
z
14.0ms
(/.f64 x y)
Results
ErrorSegmentsBranch
23.5b3x
28.6b3y
25.4b3z
22.9b5t
20.1b3(/.f64 x y)
20.1b3(/.f64 x y)
Compiler

Compiled 70 to 40 computations (42.9% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.878231596259791e-20
8.180841502188443e-15
0.0ms
-0.07270942341233998
-0.000997078928181566
Compiler

Compiled 20 to 14 computations (30% saved)

regimes99.0ms (0.9%)

Counts
5 → 3
Calls
Call 1
Inputs
t
t
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
Outputs
(*.f64 x (/.f64 z y))
t
(/.f64 x (/.f64 y z))
Calls

4 calls:

26.0ms
t
26.0ms
x
26.0ms
y
18.0ms
z
Results
ErrorSegmentsBranch
23.6b3x
28.6b3y
27.2b2z
24.2b3t
Compiler

Compiled 41 to 26 computations (36.6% saved)

bsearch368.0ms (3.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
128.0ms
7.390739593222329e+97
9.28266226049539e+103
240.0ms
-8.75371179027033e+28
-3.343869039865284e+23
Compiler

Compiled 308 to 230 computations (25.3% saved)

regimes82.0ms (0.8%)

Counts
4 → 3
Calls
Call 1
Inputs
t
t
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 z x) y)
Outputs
(/.f64 x (/.f64 y z))
t
(/.f64 x (/.f64 y z))
Calls

4 calls:

22.0ms
t
21.0ms
x
21.0ms
y
14.0ms
z
Results
ErrorSegmentsBranch
23.6b3x
28.6b3y
27.2b2z
24.2b3t
Compiler

Compiled 36 to 24 computations (33.3% saved)

bsearch332.0ms (3.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
127.0ms
7.390739593222329e+97
9.28266226049539e+103
204.0ms
-8.75371179027033e+28
-3.343869039865284e+23
Compiler

Compiled 308 to 230 computations (25.3% saved)

regimes47.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

4 calls:

26.0ms
z
6.0ms
y
6.0ms
x
6.0ms
t
Results
ErrorSegmentsBranch
31.2b1x
31.2b1y
31.2b1z
31.2b1t
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify150.0ms (1.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
069408
190408
2103408
3111408
4114408
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
(if (<=.f64 (/.f64 x y) -2894802230932905/7237005577332262213973186563042994240829374041602535252466099000494570602496) (+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t) (if (<=.f64 (/.f64 x y) -1997919072202235/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (+.f64 (/.f64 (*.f64 z x) y) t) (if (<=.f64 (/.f64 x y) 2076918743413931/41538374868278621028243970633760768) (+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t) (*.f64 (-.f64 z t) (/.f64 x y)))))
(if (<=.f64 (/.f64 x y) -40000000) (*.f64 (-.f64 z t) (/.f64 x y)) (if (<=.f64 (/.f64 x y) 2076918743413931/41538374868278621028243970633760768) (+.f64 (/.f64 (*.f64 z x) y) t) (*.f64 (-.f64 z t) (/.f64 x y))))
(if (<=.f64 (/.f64 x y) -40000000) (/.f64 (*.f64 (-.f64 z t) x) y) (if (<=.f64 (/.f64 x y) 1152921504606847/1152921504606846976) (+.f64 (/.f64 (*.f64 z x) y) t) (/.f64 (*.f64 (-.f64 z t) x) y)))
(if (<=.f64 (/.f64 x y) -3602879701896397/72057594037927936) (/.f64 (*.f64 (-.f64 z t) x) y) (if (<=.f64 (/.f64 x y) 500000000000000039145770202298121921152680149943058432) (*.f64 t (-.f64 1 (/.f64 x y))) (/.f64 (*.f64 (-.f64 z t) x) y)))
(if (<=.f64 (/.f64 x y) -3602879701896397/72057594037927936) (/.f64 (*.f64 (-.f64 z t) x) y) (if (<=.f64 (/.f64 x y) 1152921504606847/1152921504606846976) t (/.f64 (*.f64 (-.f64 z t) x) y)))
(if (<=.f64 (/.f64 x y) -3602879701896397/72057594037927936) (/.f64 x (/.f64 y z)) (if (<=.f64 (/.f64 x y) 1152921504606847/1152921504606846976) t (if (<=.f64 (/.f64 x y) 19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848) (*.f64 t (neg.f64 (/.f64 x y))) (/.f64 z (/.f64 y x)))))
(if (<=.f64 (/.f64 x y) -3602879701896397/72057594037927936) (/.f64 x (/.f64 y z)) (if (<=.f64 (/.f64 x y) 2076918743413931/41538374868278621028243970633760768) t (/.f64 z (/.f64 y x))))
(if (<=.f64 x -32000000000000000425201762304) (*.f64 x (/.f64 z y)) (if (<=.f64 x 90000000000000000172410757716120186259435961453867281003752316313944139178358988036511253059736229117952) t (/.f64 x (/.f64 y z))))
(if (<=.f64 x -32000000000000000425201762304) (/.f64 x (/.f64 y z)) (if (<=.f64 x 90000000000000000172410757716120186259435961453867281003752316313944139178358988036511253059736229117952) t (/.f64 x (/.f64 y z))))
t
Outputs
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(if (<=.f64 (/.f64 x y) -2894802230932905/7237005577332262213973186563042994240829374041602535252466099000494570602496) (+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t) (if (<=.f64 (/.f64 x y) -1997919072202235/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (+.f64 (/.f64 (*.f64 z x) y) t) (if (<=.f64 (/.f64 x y) 2076918743413931/41538374868278621028243970633760768) (+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t) (*.f64 (-.f64 z t) (/.f64 x y)))))
(if (<=.f64 (/.f64 x y) -2894802230932905/7237005577332262213973186563042994240829374041602535252466099000494570602496) (+.f64 t (/.f64 x (/.f64 y (-.f64 z t)))) (if (<=.f64 (/.f64 x y) -1997919072202235/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (+.f64 t (/.f64 (*.f64 z x) y)) (if (<=.f64 (/.f64 x y) 2076918743413931/41538374868278621028243970633760768) (+.f64 t (/.f64 x (/.f64 y (-.f64 z t)))) (*.f64 (-.f64 z t) (/.f64 x y)))))
(if (<=.f64 (/.f64 x y) -40000000) (*.f64 (-.f64 z t) (/.f64 x y)) (if (<=.f64 (/.f64 x y) 2076918743413931/41538374868278621028243970633760768) (+.f64 (/.f64 (*.f64 z x) y) t) (*.f64 (-.f64 z t) (/.f64 x y))))
(if (<=.f64 (/.f64 x y) -40000000) (*.f64 (-.f64 z t) (/.f64 x y)) (if (<=.f64 (/.f64 x y) 2076918743413931/41538374868278621028243970633760768) (+.f64 t (/.f64 (*.f64 z x) y)) (*.f64 (-.f64 z t) (/.f64 x y))))
(if (<=.f64 (/.f64 x y) -40000000) (/.f64 (*.f64 (-.f64 z t) x) y) (if (<=.f64 (/.f64 x y) 1152921504606847/1152921504606846976) (+.f64 (/.f64 (*.f64 z x) y) t) (/.f64 (*.f64 (-.f64 z t) x) y)))
(if (<=.f64 (/.f64 x y) -40000000) (/.f64 (*.f64 (-.f64 z t) x) y) (if (<=.f64 (/.f64 x y) 1152921504606847/1152921504606846976) (+.f64 t (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 (-.f64 z t) x) y)))
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t
Compiler

Compiled 326 to 159 computations (51.2% saved)

soundness0.0ms (0%)

end118.0ms (1.1%)

Compiler

Compiled 286 to 88 computations (69.2% saved)

Profiling

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