Details

Time bar (total: 1.8s)

analyze476.0ms (26.9%)

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)

sample854.0ms (48.3%)

Results
787.0ms8252×body128valid
52.0ms611×body128invalid
1.0ms3×body1024valid
0.0ms1×body512valid
Compiler

Compiled 22 to 16 computations (27.3% saved)

preprocess22.0ms (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)

simplify13.0ms (0.7%)

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))

prune1.0ms (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 (0.3%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts
1 → 36
Calls

9 calls:

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

rewrite41.0ms (2.3%)

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 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 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 expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (+.f64 z 1))))))))

simplify23.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
174×fma-def_binary64
24×associate-+l+_binary64
22×distribute-rgt-in_binary64
20×associate-+r+_binary64
13×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016378
141351
276318
3155318
4246318
5294318
6329318
7335318
Stop Event
1×saturated
Counts
110 → 83
Calls
Call 1
Inputs
(*.f64 y (+.f64 1 z))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(*.f64 (+.f64 1 z) x)
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(*.f64 (+.f64 1 z) x)
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(*.f64 (+.f64 1 z) x)
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(*.f64 (+.f64 1 z) y)
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(*.f64 (+.f64 1 z) y)
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y x)
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(*.f64 z (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(*.f64 z (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
Outputs
(*.f64 y (+.f64 1 z))
(+.f64 y (*.f64 y z))
(fma.f64 y z y)
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(*.f64 (+.f64 1 z) y)
(*.f64 y (+.f64 1 z))
(+.f64 y (*.f64 y z))
(fma.f64 y z y)
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(*.f64 (+.f64 1 z) y)
(*.f64 y (+.f64 1 z))
(+.f64 y (*.f64 y z))
(fma.f64 y z y)
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y x)
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(*.f64 z (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(*.f64 z (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
(+.f64 y (fma.f64 y z (fma.f64 z x x)))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 1 z) (+.f64 y x))

prune51.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New82183
Fresh000
Picked011
Done000
Total82284
Error
0b
Counts
84 → 2
Alt Table
StatusErrorProgram
▶0.0b
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
✓0.0b
(*.f64 (+.f64 x y) (+.f64 z 1))
Compiler

Compiled 1163 to 449 computations (61.4% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.1%)

Counts
1 → 15
Calls

6 calls:

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

rewrite37.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
633×pow1_binary64
590×add-log-exp_binary64
589×log1p-expm1-u_binary64
589×expm1-log1p-u_binary64
60×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
11125
216055
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(+.f64 (*.f64 z x) x)
Outputs
((#(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 (pow.f64 (*.f64 z x) 2) (-.f64 (*.f64 z x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z x x)) (cbrt.f64 (pow.f64 (fma.f64 z x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 z x x) 2)) (cbrt.f64 (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z x x)) (sqrt.f64 (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 x (-.f64 x (*.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 x (-.f64 x (*.f64 z x)))) (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 z x) x) (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 x (-.f64 x (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 x x)) (-.f64 (*.f64 z x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 x (-.f64 x (*.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z x) 2)) (-.f64 x (*.f64 z x)))))) (#(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) 3) 1/3)))) (#(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 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 log1p.f64 (expm1.f64 (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z 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 (*.f64 z x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 z x)) x)))) (#(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 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z x x)))))))

simplify9.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
12×fma-def_binary64
4×associate-*r*_binary64
4×associate-*l*_binary64
4×distribute-rgt-in_binary64
3×*-lft-identity_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0793
11293
21869
32869
44169
54569
64769
Stop Event
1×saturated
Counts
56 → 45
Calls
Call 1
Inputs
x
(*.f64 z x)
(*.f64 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)
(*.f64 (+.f64 1 z) x)
Outputs
x
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(fma.f64 x z x)
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(fma.f64 x z x)

prune32.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New45045
Fresh000
Picked011
Done011
Total45247
Error
0b
Counts
47 → 2
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 y (+.f64 (*.f64 y z) (+.f64 (*.f64 z x) x)))
✓0.0b
(*.f64 (+.f64 x y) (+.f64 z 1))
Compiler

Compiled 762 to 286 computations (62.5% saved)

regimes137.0ms (7.7%)

Accuracy

Total 0.0b remaining (65%)

Threshold costs 0.0b (65%)

Counts
30 → 1
Compiler

Compiled 303 to 131 computations (56.8% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11114
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 y (+.f64 (*.f64 y z) (fma.f64 z x x)))
Outputs
(+.f64 y (+.f64 (*.f64 y z) (fma.f64 z x x)))

end52.0ms (2.9%)

Stop Event
1×done
Compiler

Compiled 76 to 43 computations (43.4% saved)

Profiling

Loading profile data...