Details

Time bar (total: 2.1s)

analyze543.0ms (25.9%)

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
53.2%32.1%14.7%13
57.4%27.4%15.1%14
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.0s (48.7%)

Results
927.0ms8255×body128valid
78.0ms654×body128invalid
0.0ms1×body1024valid

preprocess24.0ms (1.2%)

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)

simplify9.0ms (0.5%)

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))

eval0.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

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
Click to see full alt table
StatusErrorProgram
▶0.0b
(*.f64 (+.f64 x y) (+.f64 z 1))
Compiler

Compiled 20 to 14 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
@inf
(*.f64 (+.f64 x y) (+.f64 z 1))
1.0ms
x
@0
(*.f64 (+.f64 x y) (+.f64 z 1))
0.0ms
y
@inf
(*.f64 (+.f64 x y) (+.f64 z 1))
0.0ms
x
@-inf
(*.f64 (+.f64 x y) (+.f64 z 1))

rewrite44.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
676×prod-diff_binary64
324×fma-def_binary64
172×fma-neg_binary64
154×log1p-udef_binary64
153×expm1-udef_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 (*.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 (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)) (fma.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 /.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)) 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 cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 z 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 z 1) 3) (pow.f64 (+.f64 x y) 3)))))) (#(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 (*.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) (cbrt.f64 (*.f64 (+.f64 x y) z))) (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 (sqrt.f64 z) (sqrt.f64 (+.f64 x y))) (*.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 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 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 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))))))))

simplify25.0ms (1.2%)

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))

eval18.0ms (0.8%)

Compiler

Compiled 1134 to 428 computations (62.3% saved)

prune107.0ms (5.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 48 to 28 computations (41.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

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

rewrite38.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
733×pow1_binary64
680×add-log-exp_binary64
680×log1p-expm1-u_binary64
680×expm1-log1p-u_binary64
70×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0611
112910
2179210
Stop Event
1×node limit
Counts
1 → 26
Calls
Call 1
Inputs
(fma.f64 z (+.f64 x y) (+.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x y) (*.f64 z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (+.f64 x y)) 1) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 z (+.f64 x y)) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 z (+.f64 x y)) y) x)))) (#(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 x y) (+.f64 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 x y) (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 z 1))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 2)) (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z 1))) (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z 1) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (*.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y))) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 z (+.f64 x y)) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y))) (pow.f64 (+.f64 x y) 2)) (-.f64 (*.f64 z (+.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)) 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 (exp.f64 (*.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 cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x y) (+.f64 z 1))))))) (#(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))))))))

simplify47.0ms (2.2%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
031345
191345
2207318
3496318
41046318
51977318
62756318
72847318
82847318
Stop Event
1×saturated
Counts
62 → 42
Calls
Call 1
Inputs
(+.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))
(+.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)))))
Outputs
(+.f64 y x)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(*.f64 (+.f64 y x) z)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(*.f64 (+.f64 y x) z)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(fma.f64 x z x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x))
(fma.f64 z x x)
(fma.f64 x z x)
(+.f64 (*.f64 y z) (+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x))))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 (*.f64 y z) (+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x))))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 (*.f64 y z) (+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x))))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(*.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)))))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 (*.f64 z x) (+.f64 x (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1)))))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))
(+.f64 (*.f64 z x) (+.f64 x (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1)))))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 z 1))

eval11.0ms (0.5%)

Compiler

Compiled 445 to 209 computations (53% saved)

prune35.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New42042
Fresh011
Picked011
Done000
Total42244
Error
0b
Counts
44 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(fma.f64 (+.f64 z 1) y (*.f64 (+.f64 z 1) x))
✓0.0b
(fma.f64 z (+.f64 x y) (+.f64 x y))
Compiler

Compiled 37 to 23 computations (37.8% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite35.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
595×pow1_binary64
552×log1p-expm1-u_binary64
552×expm1-log1p-u_binary64
551×add-log-exp_binary64
62×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11227
215197
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (+.f64 z 1) x)
Outputs
((#(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 (*.f64 z x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 z 3)) x) (fma.f64 z z (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z -1) x) (+.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 z 3))) (fma.f64 z z (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 z z -1)) (+.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 z 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 z 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (log1p.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 z x))))))))

simplify10.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
14×fma-def_binary64
4×associate-*r*_binary64
4×associate-*l*_binary64
3×*-lft-identity_binary64
3×*-rgt-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08114
116114
223114
329114
442114
546114
648114
Stop Event
1×saturated
Counts
46 → 27
Calls
Call 1
Inputs
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)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
Outputs
x
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(fma.f64 x z x)

eval7.0ms (0.3%)

Compiler

Compiled 335 to 177 computations (47.2% saved)

prune22.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New27027
Fresh000
Picked011
Done011
Total27229
Error
0b
Counts
29 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(fma.f64 (+.f64 z 1) y (*.f64 (+.f64 z 1) x))
✓0.0b
(fma.f64 z (+.f64 x y) (+.f64 x y))
Compiler

Compiled 24 to 14 computations (41.7% saved)

regimes30.0ms (1.4%)

Accuracy

Total -0.0b remaining (-100%)

Threshold costs -0.0b (-100%)

Counts
3 → 1
Calls
Call 1
Inputs
(fma.f64 (+.f64 z 1) y (*.f64 (+.f64 z 1) x))
(fma.f64 z (+.f64 x y) (+.f64 x y))
(*.f64 (+.f64 x y) (+.f64 z 1))
Outputs
(fma.f64 (+.f64 z 1) y (*.f64 (+.f64 z 1) x))
Results
TimeErrorSegmentsBranch
4.0ms0.0b1x
4.0ms0.0b1y
5.0ms0.0b1z
4.0ms0.0b1(*.f64 (+.f64 x y) (+.f64 z 1))
4.0ms0.0b1(+.f64 x y)
4.0ms0.0b1(+.f64 x y)
5.0ms0.0b1(+.f64 z 1)
Compiler

Compiled 68 to 43 computations (36.8% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11214
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 z 1) y (*.f64 (+.f64 z 1) x))
Outputs
(fma.f64 (+.f64 z 1) y (*.f64 (+.f64 z 1) x))

end36.0ms (1.7%)

Stop Event
1×done
Compiler

Compiled 52 to 36 computations (30.8% saved)

Profiling

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