Details

Time bar (total: 2.9s)

analyze753.0ms (26.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
3.1%96.7%0.1%8
14%84.3%1.7%9
19.5%76.5%4%10
25.4%70.6%4%11
38.8%54.2%7%12
44.4%46.6%9%13
48.8%42.2%9%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.0s (36.3%)

Results
930.0ms8256×body128valid
104.0ms767×body128invalid

preprocess38.0ms (1.3%)

Algorithm
2×egg-herbie
Rules
786×div-sub_binary64
434×fma-def_binary64
235×distribute-neg-frac_binary64
235×times-frac_binary64
201×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
13540
28340
320940
444940
5110040
6356240
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 (*.f64 y (-.f64 x z)) x)
(/.f64 (*.f64 z (-.f64 y x)) y)
(/.f64 (*.f64 x (-.f64 z y)) z)
Outputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 x (/.f64 y (-.f64 y z)))
(*.f64 (/.f64 x y) (-.f64 y z))
(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(/.f64 (*.f64 y (-.f64 x z)) x)
(/.f64 y (/.f64 x (-.f64 x z)))
(*.f64 (/.f64 y x) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 y x))
(/.f64 (-.f64 x z) (/.f64 x y))
(fma.f64 z (/.f64 (neg.f64 y) x) y)
(/.f64 (*.f64 z (-.f64 y x)) y)
(/.f64 z (/.f64 y (-.f64 y x)))
(*.f64 (/.f64 z y) (-.f64 y x))
(*.f64 (-.f64 y x) (/.f64 z y))
(*.f64 z (/.f64 (-.f64 y x) y))
(*.f64 z (-.f64 1 (/.f64 x y)))
(/.f64 (*.f64 x (-.f64 z y)) z)
(/.f64 x (/.f64 z (-.f64 z y)))
(*.f64 (/.f64 x z) (-.f64 z y))
(*.f64 (-.f64 z y) (/.f64 x z))
(*.f64 x (-.f64 1 (/.f64 y z)))
(-.f64 x (/.f64 x (/.f64 z y)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify20.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
816×fma-def_binary64
463×associate-/l*_binary64
368×associate-*l/_binary64
316×associate-/r*_binary64
286×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
22710
36210
413410
524210
644310
7126510
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 x (-.f64 y z)) y)
Outputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 x (/.f64 y (-.f64 y z)))
(*.f64 (/.f64 x y) (-.f64 y z))
(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 x (/.f64 (-.f64 y z) y))
(-.f64 x (/.f64 z (/.f64 y x)))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶4.6b
(-.f64 x (/.f64 z (/.f64 y x)))
10.1b
(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 57 to 33 computations (42.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 z (/.f64 y x)))
✓5.6b
(/.f64 z (/.f64 y x))

series11.0ms (0.4%)

Counts
2 → 72
Calls

18 calls:

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

rewrite82.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
697×prod-diff_binary64
239×fma-def_binary64
201×egg-rr
158×expm1-udef_binary64
158×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116317
2259917
Stop Event
1×node limit
Counts
2 → 243
Calls
Call 1
Inputs
(/.f64 z (/.f64 y x))
(-.f64 x (/.f64 z (/.f64 y x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (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 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 1 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 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 (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 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)))) (#(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 (/.f64 z y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify55.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
380×fma-def_binary64
179×fma-neg_binary64
55×cancel-sign-sub-inv_binary64
47×associate-*r*_binary64
44×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016582
135582
266582
3116582
4224582
5410582
6777582
71053582
81243582
91362582
101376582
111381582
Stop Event
1×saturated
Counts
315 → 252
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
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(*.f64 x (/.f64 z y))
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(*.f64 (-.f64 1 (/.f64 z y)) x)
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(*.f64 (-.f64 1 (/.f64 z y)) x)
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(*.f64 (-.f64 1 (/.f64 z y)) x)
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(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
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x
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x
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(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))

prune166.0ms (5.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2493252
Fresh011
Picked101
Done000
Total2504254
Error
0b
Counts
254 → 4
Alt Table
StatusErrorProgram
10.1b
(/.f64 (*.f64 x (-.f64 y z)) y)
7.1b
(fma.f64 x (-.f64 1 (/.f64 z y)) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))
4.7b
(-.f64 x (*.f64 z (/.f64 x y)))
▶3.6b
(*.f64 (-.f64 1 (/.f64 z y)) x)
Compiler

Compiled 6828 to 2275 computations (66.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1 (/.f64 z y))
✓3.4b
(*.f64 (-.f64 1 (/.f64 z y)) x)

series7.0ms (0.2%)

Counts
2 → 48
Calls

15 calls:

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

rewrite50.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
837×log1p-expm1-u_binary64
837×expm1-log1p-u_binary64
86×add-sqr-sqrt_binary64
84×*-un-lft-identity_binary64
84×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116717
2219917
Stop Event
1×node limit
Counts
2 → 51
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (/.f64 z y)) x)
(-.f64 1 (/.f64 z y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 z) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 z y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 3)) x) (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 2)) x) (+.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 z y) 3))) (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 z y) 2))) (+.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 z y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (/.f64 z y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 z y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (/.f64 z y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (neg.f64 z) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 z y))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 z y))) 2) (cbrt.f64 (-.f64 1 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 z y))) (sqrt.f64 (-.f64 1 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 z y) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 z y) 2)) (/.f64 1 (+.f64 1 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2))) (-.f64 1 (pow.f64 (/.f64 z y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 z y)) (-.f64 1 (pow.f64 (/.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 z y) 3)) (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 z y) 2)) (+.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 z y) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 z y) 2))) (neg.f64 (+.f64 1 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 z) y) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 z) y) (/.f64 (neg.f64 z) y)) (/.f64 (neg.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 z) y) (/.f64 (neg.f64 z) y))) (-.f64 1 (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 z y))))))))

simplify45.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
380×fma-def_binary64
217×fma-neg_binary64
72×cancel-sign-sub-inv_binary64
46×distribute-rgt-in_binary64
42×distribute-lft-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013411
129357
253357
390357
4147357
5282357
6494357
7709357
81025357
91439357
101453357
111467357
121472357
Stop Event
1×saturated
Counts
99 → 61
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
1
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
1
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
1
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
Outputs
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(/.f64 (*.f64 z (neg.f64 x)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(/.f64 (*.f64 z (neg.f64 x)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(/.f64 (*.f64 z (neg.f64 x)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 (/.f64 x y) z))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
1
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
1
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
1
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (neg.f64 (/.f64 z y)))
(-.f64 1 (/.f64 z y))

prune61.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New61061
Fresh033
Picked011
Done000
Total61465
Error
0b
Counts
65 → 4
Alt Table
StatusErrorProgram
10.1b
(/.f64 (*.f64 x (-.f64 y z)) y)
7.1b
(fma.f64 x (-.f64 1 (/.f64 z y)) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))
▶4.7b
(-.f64 x (*.f64 z (/.f64 x y)))
✓3.6b
(*.f64 (-.f64 1 (/.f64 z y)) x)
Compiler

Compiled 810 to 438 computations (45.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 z (/.f64 x y)))
✓5.7b
(*.f64 z (/.f64 x y))

series5.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

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

rewrite51.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
899×log1p-expm1-u_binary64
899×expm1-log1p-u_binary64
87×add-sqr-sqrt_binary64
86×*-un-lft-identity_binary64
86×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116017
2240217
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(*.f64 z (/.f64 x y))
(-.f64 x (*.f64 z (/.f64 x y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 z x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 z x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 z x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 z x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 z x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 z x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 z x) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (*.f64 (neg.f64 z) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (*.f64 (neg.f64 z) x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (/.f64 x y)) z (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (/.f64 (*.f64 (neg.f64 z) x) y) 1 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 z x) y))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 z x) y)) 2) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z x) y))) (sqrt.f64 (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (neg.f64 z) x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2) (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2)) (/.f64 1 (+.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 z x) y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y)))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 (*.f64 z x) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3)) (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2)) (+.f64 x (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2))) (neg.f64 (+.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 (neg.f64 z) x) y) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 z) x) y) (/.f64 (*.f64 (neg.f64 z) x) y)) (*.f64 x (/.f64 (*.f64 (neg.f64 z) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (neg.f64 z) x) y) (/.f64 (*.f64 (neg.f64 z) x) y))) (-.f64 x (/.f64 (*.f64 (neg.f64 z) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (*.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (*.f64 (neg.f64 z) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (*.f64 (neg.f64 z) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (*.f64 (neg.f64 z) x) y))))))

simplify50.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
380×fma-def_binary64
179×fma-neg_binary64
55×cancel-sign-sub-inv_binary64
47×associate-*r*_binary64
44×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016582
135582
266582
3116582
4224582
5410582
6777582
71053582
81243582
91362582
101376582
111381582
Stop Event
1×saturated
Counts
133 → 68
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))

prune32.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh022
Picked011
Done011
Total68472
Error
0b
Counts
72 → 4
Alt Table
StatusErrorProgram
10.1b
(/.f64 (*.f64 x (-.f64 y z)) y)
▶7.1b
(fma.f64 x (-.f64 1 (/.f64 z y)) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))
✓4.7b
(-.f64 x (*.f64 z (/.f64 x y)))
✓3.6b
(*.f64 (-.f64 1 (/.f64 z y)) x)
Compiler

Compiled 992 to 297 computations (70.1% saved)

localize27.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (/.f64 z y))
✓3.4b
(fma.f64 x (-.f64 1 (/.f64 z y)) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))
5.7b
(*.f64 z (/.f64 x y))
✓48.6b
(fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y)))

series13.0ms (0.4%)

Counts
2 → 72
Calls

18 calls:

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

rewrite53.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
238×fma-def_binary64
217×expm1-udef_binary64
216×log1p-udef_binary64
178×log-pow_binary64
165×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01242
125836
2356436
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y)))
(fma.f64 x (-.f64 1 (/.f64 z y)) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 z y)) (*.f64 x (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 z y)) (*.f64 x (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))) 2) (cbrt.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))) (sqrt.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) (pow.f64 (*.f64 x (/.f64 z y)) 3)) (+.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2) (-.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2) (pow.f64 (*.f64 x (/.f64 z y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2) (pow.f64 (*.f64 x (/.f64 z y)) 2)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 z) (/.f64 x y)) (pow.f64 (exp.f64 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 z y)))) (pow.f64 (exp.f64 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 z) (/.f64 x y)) (+.f64 1 (expm1.f64 (*.f64 x (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 z y)))) (+.f64 1 (expm1.f64 (*.f64 x (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 z y)))) (pow.f64 (exp.f64 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 z) (/.f64 x y)) (+.f64 1 (expm1.f64 (*.f64 x (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 z y)))) (+.f64 1 (expm1.f64 (*.f64 x (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))) (*.f64 x (-.f64 1 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 1) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 x (/.f64 z y))) (*.f64 x (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))) 2) (cbrt.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))) (sqrt.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 3) (pow.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))) 3)) (fma.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (*.f64 x (-.f64 1 (/.f64 z y))) (-.f64 (pow.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))) 2) (*.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (*.f64 x (-.f64 1 (/.f64 z y))) (neg.f64 (pow.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))) 2))) (-.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))) (exp.f64 (*.f64 x (-.f64 1 (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))) (exp.f64 (*.f64 x (-.f64 1 (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (+.f64 1 (expm1.f64 (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1 (/.f64 z y)) (*.f64 z (+.f64 (/.f64 x y) (/.f64 x y))))))))))

simplify44.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
595×div-sub_binary64
252×cancel-sign-sub-inv_binary64
247×associate--r+_binary64
233×fma-neg_binary64
219×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051690
1156474
2490366
31650366
44503366
Stop Event
1×node limit
Counts
129 → 76
Calls
Call 1
Inputs
(*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x))
(*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x))
(*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x))
(*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x))
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y)
(*.f64 -1 (/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y))
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)
(*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z))
(*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z))
(*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z))
(*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (-.f64 1 (/.f64 z y))) (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y)))) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (-.f64 1 (/.f64 z y))) (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y)))) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (-.f64 1 (/.f64 z y))) (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y)))) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (-.f64 1 (/.f64 z y))) (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y)))) x))
x
(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (/.f64 x y)) z) x)
(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (/.f64 x y)) z) x)
(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (/.f64 x y)) z) x)
(*.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (/.f64 x y)) z)
(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (/.f64 x y)) z) x)
(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (/.f64 x y)) z) x)
(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (/.f64 x y)) z) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 x y)) (*.f64 -1 (/.f64 x y))) z))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 x y)) (*.f64 -1 (/.f64 x y))) z)) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 x y)) (*.f64 -1 (/.f64 x y))) z)) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 x y)) (*.f64 -1 (/.f64 x y))) z)) x)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -2 (*.f64 z x))) y)
(+.f64 (*.f64 -2 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 z x) y) x))
(+.f64 (*.f64 -2 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 z x) y) x))
(+.f64 (*.f64 -2 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 z x) y) x))
x
(+.f64 (*.f64 -2 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 z x) y) x))
(+.f64 (*.f64 -2 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 z x) y) x))
(+.f64 (*.f64 -2 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 z x) y) x))
x
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 2 (*.f64 z x))) y)) x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 2 (*.f64 z x))) y)) x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 2 (*.f64 z x))) y)) x)
Outputs
(*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x))
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x))
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x))
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x))
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
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(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
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(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 -1 (/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y))
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 -1 (/.f64 (+.f64 (*.f64 z x) (*.f64 -1 (*.f64 z x))) y))
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)
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(*.f64 x 0)
0
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(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z))
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z))
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z))
(*.f64 (*.f64 0 (/.f64 z y)) x)
(*.f64 x 0)
0
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
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(fma.f64 z (/.f64 (neg.f64 x) y) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (-.f64 1 (/.f64 z y))) (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y)))) x))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (-.f64 1 (/.f64 z y))) (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y)))) x))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (-.f64 1 (/.f64 z y))) (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y)))) x))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (-.f64 1 (/.f64 z y))) (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y)))) x))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
x
(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (/.f64 x y)) z) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (/.f64 x y)) z) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (/.f64 x y)) z) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(*.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (/.f64 x y)) z)
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (/.f64 x y)) z) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (/.f64 x y)) z) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (/.f64 x y)) z) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 x y)) (*.f64 -1 (/.f64 x y))) z))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 x y)) (*.f64 -1 (/.f64 x y))) z)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 x y)) (*.f64 -1 (/.f64 x y))) z)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 x y)) (*.f64 -1 (/.f64 x y))) z)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(/.f64 (+.f64 (*.f64 z x) (*.f64 -2 (*.f64 z x))) y)
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -2 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 z x) y) x))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(+.f64 (*.f64 -2 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 z x) y) x))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(+.f64 (*.f64 -2 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 z x) y) x))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
x
(+.f64 (*.f64 -2 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 z x) y) x))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(+.f64 (*.f64 -2 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 z x) y) x))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(+.f64 (*.f64 -2 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 (*.f64 z x) y) x))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
x
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 2 (*.f64 z x))) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 2 (*.f64 z x))) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 z x)) (*.f64 2 (*.f64 z x))) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 (neg.f64 x) y) x)

prune108.0ms (3.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1330133
Fresh011
Picked011
Done022
Total1334137
Error
0b
Counts
137 → 4
Alt Table
StatusErrorProgram
10.1b
(/.f64 (*.f64 x (-.f64 y z)) y)
✓7.1b
(fma.f64 x (-.f64 1 (/.f64 z y)) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))
✓4.7b
(-.f64 x (*.f64 z (/.f64 x y)))
✓3.6b
(*.f64 (-.f64 1 (/.f64 z y)) x)
Compiler

Compiled 2902 to 924 computations (68.2% saved)

regimes74.0ms (2.6%)

Accuracy

Total -18.9b remaining (-869.6%)

Threshold costs -18.9b (-869.6%)

Counts
15 → 3
Compiler

Compiled 150 to 61 computations (59.3% saved)

bsearch33.0ms (1.1%)

Algorithm
2×binary-search
Calls

2 calls:

17.0ms
x
16.0ms
x
Steps
ItersPointRange
6.005781062679642e-122
∈ [
6.005781062679642e-122
, 
1.748790753776587e-121
]
-2.5475090785488885e-183
∈ [
-2.5475090785488885e-183
, 
-9.97782781640105e-186
]
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01742
12542
24242
35342
46042
56242
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -6093725443677351/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 x 5587499834875885/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (-.f64 x (*.f64 z (/.f64 x y))) (-.f64 x (/.f64 x (/.f64 y z)))))
Outputs
(if (<=.f64 x -6093725443677351/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 x 5587499834875885/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (-.f64 x (*.f64 z (/.f64 x y))) (-.f64 x (/.f64 x (/.f64 y z)))))

end43.0ms (1.5%)

Stop Event
1×fuel
Compiler

Compiled 103 to 42 computations (59.2% saved)

Profiling

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