Details

Time bar (total: 2.6s)

analyze230.0ms (8.9%)

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
12.5%87.4%0.1%7
18.7%81.1%0.1%8
28.1%71.8%0.1%9
34.3%56.9%8.7%10
40.6%49.9%9.5%11
48%41.9%10.1%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.1s (44%)

Results
915.0ms8247×body64valid
137.0ms1196×body64invalid
1.0ms8×body128valid
0.0ms1×body1024valid

preprocess44.0ms (1.7%)

Algorithm
2×egg-herbie
Rules
522×fma-def_binary64
100×distribute-rgt-in_binary64
78×associate-+l+_binary64
66×associate-+r+_binary64
64×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
15340
213740
333440
469440
5107840
6114440
7115040
033
133
Stop Event
1×unsound
1×saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
0
2
Call 2
Inputs
(*.f64 (+.f64 x y) (+.f64 z 1))
(*.f64 (+.f64 y x) (+.f64 z 1))
(*.f64 (+.f64 z y) (+.f64 x 1))
(*.f64 (+.f64 x z) (+.f64 y 1))
Outputs
(*.f64 (+.f64 x y) (+.f64 z 1))
(*.f64 (+.f64 y x) (+.f64 z 1))
(*.f64 (+.f64 x y) (+.f64 z 1))
(*.f64 (+.f64 z y) (+.f64 x 1))
(*.f64 (+.f64 y z) (+.f64 x 1))
(*.f64 (+.f64 x z) (+.f64 y 1))
Symmetry

(sort x y)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify10.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
186×fma-def_binary64
33×distribute-rgt-in_binary64
26×associate-+l+_binary64
22×associate-+r+_binary64
21×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11910
25110
312010
424910
538910
641110
741310
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 z 1))
Outputs
(*.f64 (+.f64 x y) (+.f64 z 1))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.0b
(*.f64 (+.f64 x y) (+.f64 z 1))
Compiler

Compiled 30 to 21 computations (30% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 x y) (+.f64 z 1))

series5.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

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

rewrite74.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
676×prod-diff_binary64
599×unpow-prod-down_binary64
408×log-prod_binary64
352×pow-prod-down_binary64
324×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117610
2253010
Stop Event
1×node limit
Counts
1 → 74
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 z 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 x y) (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 x y) z) 1) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 z 1)) (*.f64 y (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 z 1)) (*.f64 x (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 z 1) x) (*.f64 (+.f64 z 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 z 1) y) (*.f64 (+.f64 z 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 x y) z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 x y) z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (+.f64 z 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (+.f64 z 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (+.f64 z 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 1 (pow.f64 z 3))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 (fma.f64 z z 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 1 (pow.f64 z 3))) (*.f64 (-.f64 x y) (-.f64 (fma.f64 z z 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 z z -1)) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 z z -1)) (*.f64 (-.f64 x y) (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 z 3)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (-.f64 (fma.f64 z z 1) z) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z -1) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (+.f64 z -1) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 z 3)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 (fma.f64 z z 1) z) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z -1) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 z -1) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x y) z) 2) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 (+.f64 x y) z) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x y) z) 2) (pow.f64 (+.f64 x y) 2)) (-.f64 (*.f64 (+.f64 x y) z) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 z 1)) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 z 1)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 z 3)) (+.f64 x y)) (-.f64 (fma.f64 z z 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z -1) (+.f64 x y)) (+.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3))) (-.f64 (fma.f64 z z 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (fma.f64 z z -1)) (+.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z 1) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z 1) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 z 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x y) (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x y)) (exp.f64 (*.f64 (+.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x y))) (exp.f64 (*.f64 (+.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 x y) z)) (+.f64 1 (expm1.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 z) (log.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 (+.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 z 1) (*.f64 y (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 z 1) (*.f64 x (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) z (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) 1 (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (+.f64 x y) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x y) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 x y) z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z 1) x (*.f64 (+.f64 z 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z 1) y (*.f64 (+.f64 z 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) 1) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) 1) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (fma.f64 x x (*.f64 y (-.f64 y x)))) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 1 (-.f64 x y)) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x y) z) 1 (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) 2) (cbrt.f64 (*.f64 (+.f64 x y) z)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (+.f64 z 1))))))))

simplify22.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
176×fma-def_binary64
39×associate-+l+_binary64
30×associate-+r+_binary64
23×distribute-rgt-in_binary64
12×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013438
133330
271318
3172318
4286318
5332318
6366318
7372318
Stop Event
1×saturated
Counts
110 → 84
Calls
Call 1
Inputs
(*.f64 y (+.f64 1 z))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) x)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) x)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) x)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(*.f64 y (+.f64 1 z))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(*.f64 y (+.f64 1 z))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y x)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(*.f64 (+.f64 y x) z)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(*.f64 (+.f64 y x) z)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
Outputs
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y x)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(*.f64 (+.f64 y x) z)
(*.f64 z (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(*.f64 (+.f64 y x) z)
(*.f64 z (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) (+.f64 y x))

prune156.0ms (6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New82284
Fresh000
Picked101
Done000
Total83285
Error
0b
Counts
85 → 2
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x (+.f64 z 1) (*.f64 y (+.f64 z 1)))
▶0.0b
(fma.f64 (+.f64 x y) z (+.f64 x y))
Compiler

Compiled 1174 to 476 computations (59.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (+.f64 x y) z (+.f64 x y))

series6.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(fma.f64 (+.f64 x y) z (+.f64 x y))
1.0ms
z
@inf
(fma.f64 (+.f64 x y) z (+.f64 x y))
1.0ms
x
@0
(fma.f64 (+.f64 x y) z (+.f64 x y))
1.0ms
z
@-inf
(fma.f64 (+.f64 x y) z (+.f64 x y))
0.0ms
x
@-inf
(fma.f64 (+.f64 x y) z (+.f64 x y))

rewrite41.0ms (1.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
112911
2178111
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(fma.f64 (+.f64 x y) z (+.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 x y) z) 1) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 x y) z) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 x y) z) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (+.f64 x y) z (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 x y) z (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 x y) z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 x y) z (+.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x y) z (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x y) z (+.f64 x y))) 2) (cbrt.f64 (fma.f64 (+.f64 x y) z (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 x y) z (+.f64 x y))) (sqrt.f64 (fma.f64 (+.f64 x y) z (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (*.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 x y) z)) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 (+.f64 x y) z) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 x y) z)) (pow.f64 (+.f64 x y) 2)) (-.f64 (*.f64 (+.f64 x y) z) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 x y) z (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 x y) z (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 x y) z (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 x y) z (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 x y) z (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 x y) z (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 x y) z (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 x y) z (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 x y) z (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 x y) z (+.f64 x y))))))))

simplify43.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
736×fma-def_binary64
623×fma-neg_binary64
162×distribute-rgt-in_binary64
100×distribute-lft-in_binary64
97×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031372
191345
2207318
3493318
41043318
51973318
62743318
72834318
82834318
Stop Event
1×saturated
Counts
59 → 40
Calls
Call 1
Inputs
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(*.f64 (+.f64 1 z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 y z) (+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x))))
(+.f64 (*.f64 y z) (+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x))))
(+.f64 (*.f64 y z) (+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x))))
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x))
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x))
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x))
(*.f64 y (+.f64 1 z))
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x))
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x))
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1)))
(+.f64 (*.f64 z x) (+.f64 x (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1)))))
(+.f64 (*.f64 z x) (+.f64 x (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1)))))
(+.f64 (*.f64 z x) (+.f64 x (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1)))))
(+.f64 y x)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(*.f64 (+.f64 y x) z)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(*.f64 (+.f64 y x) z)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
Outputs
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x))
(fma.f64 z x x)
(+.f64 (*.f64 y z) (+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x))))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 (*.f64 y z) (+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x))))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 (*.f64 y z) (+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x))))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1)))
(fma.f64 y z y)
(+.f64 (*.f64 z x) (+.f64 x (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1)))))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 (*.f64 z x) (+.f64 x (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1)))))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 (*.f64 z x) (+.f64 x (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1)))))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 y x)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(*.f64 (+.f64 y x) z)
(*.f64 z (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(*.f64 (+.f64 y x) z)
(*.f64 z (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(fma.f64 y z (+.f64 y (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (-.f64 z -1) (+.f64 y x))

prune41.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New39140
Fresh101
Picked011
Done000
Total40242
Error
0b
Counts
42 → 2
Alt Table
StatusErrorProgram
▶0.0b
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
✓0.0b
(fma.f64 (+.f64 x y) z (+.f64 x y))
Compiler

Compiled 483 to 158 computations (67.3% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 1 z) x)
✓0.0b
(+.f64 (*.f64 (+.f64 1 z) x) y)
✓0.0b
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))

series11.0ms (0.4%)

Counts
3 → 57
Calls

24 calls:

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

rewrite70.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
697×fma-def_binary64
548×log-prod_binary64
458×pow-prod-down_binary64
340×fma-neg_binary64
302×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01027
122427
2329325
Stop Event
1×node limit
Counts
3 → 188
Calls
Call 1
Inputs
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(+.f64 (*.f64 (+.f64 1 z) x) y)
(*.f64 (+.f64 1 z) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 y z y) (fma.f64 z x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (-.f64 (*.f64 y z) y) (fma.f64 z x x))) (/.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) 2) (-.f64 (-.f64 (*.f64 y z) y) (fma.f64 z x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 y z y) (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 y z y) (fma.f64 z x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 y z y) (fma.f64 z x x))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 y z y) (fma.f64 z x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 y z y) (fma.f64 z x x)) 2)) (cbrt.f64 (+.f64 (fma.f64 y z y) (fma.f64 z x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 y z y) (fma.f64 z x x))) (sqrt.f64 (+.f64 (fma.f64 y z y) (fma.f64 z x x))))))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 z 1)) (*.f64 (sqrt.f64 (+.f64 z 1)) x) (+.f64 y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (+.f64 y (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 z 1)) (+.f64 y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (+.f64 y (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 z x x) 3) (pow.f64 y 3)) (/.f64 1 (fma.f64 y (-.f64 y (fma.f64 z x x)) (pow.f64 (fma.f64 z x x) 2))) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 z x x) 2) (*.f64 y y)) (/.f64 1 (-.f64 (fma.f64 z x x) y)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y z (fma.f64 z x x)) 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y z (fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y (fma.f64 z x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 z x x) 2) (-.f64 (fma.f64 z x x) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 z x x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (fma.f64 z x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (fma.f64 z x x))) (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 z x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 z x x))) 2) (cbrt.f64 (+.f64 y (fma.f64 z x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (fma.f64 z x x))) (sqrt.f64 (+.f64 y (fma.f64 z x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 z x x) 3) (pow.f64 y 3)) (/.f64 1 (fma.f64 y (-.f64 y (fma.f64 z x x)) (pow.f64 (fma.f64 z x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 z x x) 2) (*.f64 y y)) (/.f64 1 (-.f64 (fma.f64 z x x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y (-.f64 y (fma.f64 z x x)) (pow.f64 (fma.f64 z x x) 2)) (+.f64 (pow.f64 (fma.f64 z x x) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 z x x) y) (-.f64 (pow.f64 (fma.f64 z x x) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 z x x) 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y (fma.f64 z x x)) (pow.f64 (fma.f64 z x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 z x x) 3) (pow.f64 y 3)) (fma.f64 y y (-.f64 (pow.f64 (fma.f64 z x x) 2) (*.f64 y (fma.f64 z x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 z x x) 2) (*.f64 y y)) (-.f64 (fma.f64 z x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 z x x) 3) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 z x x) y) (-.f64 (pow.f64 (fma.f64 z x x) 2) (*.f64 y y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 y (fma.f64 z x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 y (fma.f64 z x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (fma.f64 z x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (+.f64 1 (expm1.f64 (fma.f64 z x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (+.f64 1 (expm1.f64 (fma.f64 z x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 z x x))) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 z x x)) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 z x x))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (fma.f64 z x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (fma.f64 z x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 y (fma.f64 z x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 z x x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z 1) x y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 z 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z x x) 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 z x x)) (pow.f64 (cbrt.f64 (fma.f64 z x x)) 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z x x)) 2) (cbrt.f64 (fma.f64 z x x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 z 1)) 2) (*.f64 (cbrt.f64 (+.f64 z 1)) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (+.f64 z 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 z x x)) (sqrt.f64 (fma.f64 z x x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 z 1)) (*.f64 (sqrt.f64 (+.f64 z 1)) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 z 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 z 1) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 z 1) (sqrt.f64 x)) (sqrt.f64 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 z 1)) 2)) (cbrt.f64 (+.f64 z 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (+.f64 z 1))) (sqrt.f64 (+.f64 z 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (fma.f64 z x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (fma.f64 z x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 z x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 z 3)) x) (fma.f64 z (-.f64 z 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) x) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 z 3))) (fma.f64 z (-.f64 z 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 z z))) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z x x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z x x)))))))

simplify46.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
631×fma-def_binary64
585×fma-neg_binary64
104×distribute-rgt-in_binary64
87×associate--r+_binary64
86×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031462
190384
2211384
3573384
41293384
52243384
62579384
72602384
Stop Event
1×saturated
Counts
245 → 208
Calls
Call 1
Inputs
(*.f64 (+.f64 1 z) x)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(*.f64 y (+.f64 1 z))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1)))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1))))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1))))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1))))
(+.f64 y x)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(*.f64 (+.f64 y x) z)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) x))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) x))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) x))
(+.f64 (*.f64 y z) y)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(+.f64 y x)
(+.f64 (*.f64 z x) (+.f64 y x))
(+.f64 (*.f64 z x) (+.f64 y x))
(+.f64 (*.f64 z x) (+.f64 y x))
(*.f64 z x)
(+.f64 (*.f64 z x) (+.f64 y x))
(+.f64 (*.f64 z x) (+.f64 y x))
(+.f64 (*.f64 z x) (+.f64 y x))
(*.f64 z x)
(+.f64 (*.f64 z x) (+.f64 y x))
(+.f64 (*.f64 z x) (+.f64 y x))
(+.f64 (*.f64 z x) (+.f64 y x))
y
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
y
y
x
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(*.f64 z x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(*.f64 z x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
Outputs
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (fma.f64 z x x) (*.f64 (+.f64 1 z) y))
(*.f64 (+.f64 1 z) (+.f64 x y))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (fma.f64 z x x) (*.f64 (+.f64 1 z) y))
(*.f64 (+.f64 1 z) (+.f64 x y))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (fma.f64 z x x) (*.f64 (+.f64 1 z) y))
(*.f64 (+.f64 1 z) (+.f64 x y))
(*.f64 y (+.f64 1 z))
(*.f64 (+.f64 1 z) y)
(fma.f64 z y y)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (fma.f64 z x x) (*.f64 (+.f64 1 z) y))
(*.f64 (+.f64 1 z) (+.f64 x y))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (fma.f64 z x x) (*.f64 (+.f64 1 z) y))
(*.f64 (+.f64 1 z) (+.f64 x y))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 (fma.f64 z x x) (*.f64 (+.f64 1 z) y))
(*.f64 (+.f64 1 z) (+.f64 x y))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1)))
(*.f64 (+.f64 1 z) y)
(fma.f64 z y y)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1))))
(+.f64 (fma.f64 z x x) (*.f64 (+.f64 1 z) y))
(*.f64 (+.f64 1 z) (+.f64 x y))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1))))
(+.f64 (fma.f64 z x x) (*.f64 (+.f64 1 z) y))
(*.f64 (+.f64 1 z) (+.f64 x y))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1))))
(+.f64 (fma.f64 z x x) (*.f64 (+.f64 1 z) y))
(*.f64 (+.f64 1 z) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 (fma.f64 z x x) (*.f64 (+.f64 1 z) y))
(*.f64 (+.f64 1 z) (+.f64 x y))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 (fma.f64 z x x) (*.f64 (+.f64 1 z) y))
(*.f64 (+.f64 1 z) (+.f64 x y))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 (fma.f64 z x x) (*.f64 (+.f64 1 z) y))
(*.f64 (+.f64 1 z) (+.f64 x y))
(*.f64 (+.f64 y x) z)
(*.f64 z (+.f64 x y))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 (fma.f64 z x x) (*.f64 (+.f64 1 z) y))
(*.f64 (+.f64 1 z) (+.f64 x y))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 (fma.f64 z x x) (*.f64 (+.f64 1 z) y))
(*.f64 (+.f64 1 z) (+.f64 x y))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 (fma.f64 z x x) (*.f64 (+.f64 1 z) y))
(*.f64 (+.f64 1 z) (+.f64 x y))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(*.f64 z (+.f64 x y))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) x))
(+.f64 (fma.f64 z x x) (*.f64 (+.f64 1 z) y))
(*.f64 (+.f64 1 z) (+.f64 x y))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) x))
(+.f64 (fma.f64 z x x) (*.f64 (+.f64 1 z) y))
(*.f64 (+.f64 1 z) (+.f64 x y))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) x))
(+.f64 (fma.f64 z x x) (*.f64 (+.f64 1 z) y))
(*.f64 (+.f64 1 z) (+.f64 x y))
(+.f64 (*.f64 y z) y)
(*.f64 (+.f64 1 z) y)
(fma.f64 z y y)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(+.f64 y x)
(+.f64 x y)
(+.f64 (*.f64 z x) (+.f64 y x))
(fma.f64 z x (+.f64 x y))
(+.f64 (fma.f64 z x x) y)
(+.f64 (*.f64 z x) (+.f64 y x))
(fma.f64 z x (+.f64 x y))
(+.f64 (fma.f64 z x x) y)
(+.f64 (*.f64 z x) (+.f64 y x))
(fma.f64 z x (+.f64 x y))
(+.f64 (fma.f64 z x x) y)
(*.f64 z x)
(+.f64 (*.f64 z x) (+.f64 y x))
(fma.f64 z x (+.f64 x y))
(+.f64 (fma.f64 z x x) y)
(+.f64 (*.f64 z x) (+.f64 y x))
(fma.f64 z x (+.f64 x y))
(+.f64 (fma.f64 z x x) y)
(+.f64 (*.f64 z x) (+.f64 y x))
(fma.f64 z x (+.f64 x y))
(+.f64 (fma.f64 z x x) y)
(*.f64 z x)
(+.f64 (*.f64 z x) (+.f64 y x))
(fma.f64 z x (+.f64 x y))
(+.f64 (fma.f64 z x x) y)
(+.f64 (*.f64 z x) (+.f64 y x))
(fma.f64 z x (+.f64 x y))
(+.f64 (fma.f64 z x x) y)
(+.f64 (*.f64 z x) (+.f64 y x))
(fma.f64 z x (+.f64 x y))
(+.f64 (fma.f64 z x x) y)
y
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
y
y
x
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(*.f64 z x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(*.f64 z x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)

prune591.0ms (22.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2080208
Fresh000
Picked011
Done011
Total2082210
Error
0b
Counts
210 → 2
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
✓0.0b
(fma.f64 (+.f64 x y) z (+.f64 x y))
Compiler

Compiled 3295 to 999 computations (69.7% saved)

regimes31.0ms (1.2%)

Accuracy

Total -0.0b remaining (-700%)

Threshold costs -0.0b (-700%)

Counts
4 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(fma.f64 x (+.f64 z 1) (*.f64 y (+.f64 z 1)))
(fma.f64 (+.f64 x y) z (+.f64 x y))
(*.f64 (+.f64 x y) (+.f64 z 1))
Outputs
(fma.f64 (+.f64 x y) z (+.f64 x y))
Results
4.0ms0.0bx
4.0ms0.0by
6.0ms0.0bz
4.0ms0.0b(*.f64 (+.f64 x y) (+.f64 z 1))
4.0ms0.0b(+.f64 x y)
3.0ms0.0b(+.f64 z 1)
5.0ms0.0b(+.f64 z 1)
Compiler

Compiled 79 to 50 computations (36.7% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
1711
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 x y) z (+.f64 x y))
Outputs
(fma.f64 (+.f64 x y) z (+.f64 x y))

end16.0ms (0.6%)

Stop Event
1×done
Remove

(sort x y)

Compiler

Compiled 44 to 20 computations (54.5% saved)

Profiling

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