Details

Time bar (total: 4.8s)

analyze250.0ms (5.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
18.8%18.7%81.1%0.1%0%0%0%8
28.1%28.1%71.8%0.1%0%0%0%9
37.6%34.3%56.9%0.1%8.6%0%0%10
44.8%40.6%49.9%0.1%9.4%0%0%11
53.4%48%41.9%0.1%9.9%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.6s (32.6%)

Results
1.3s8251×body256valid
216.0ms1226×body256infinite
1.0msbody1024valid
0.0msbody512valid
Bogosity

preprocess29.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
15340
213740
333640
470640
5109040
6115640
7116240
033
133
Stop Event
unsound
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 z 1) (+.f64 x y))
(*.f64 (+.f64 y x) (+.f64 z 1))
(*.f64 (+.f64 z 1) (+.f64 x y))
(*.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 13 to 10 computations (23.1% saved)

simplify11.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11910
25110
312010
424610
538610
640810
741010
Stop Event
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)

prune1.0ms (0%)

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 10 to 7 computations (30% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 10 computations (50% saved)

series5.0ms (0.1%)

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

rewrite79.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
676×prod-diff_binary64
600×unpow-prod-down_binary64
408×log-prod_binary64
324×fma-def_binary64
231×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117610
2254610
Stop Event
node limit
Counts
1 → 76
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 y (-.f64 y x) (*.f64 x 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 y (-.f64 y x) (*.f64 x 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 y (-.f64 y x) (*.f64 x 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 y (-.f64 y x) (*.f64 x 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 y (-.f64 y x) (*.f64 x 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 y (-.f64 y x) (*.f64 x 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 expm1.f64 (log1p.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 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 y (-.f64 y x) (*.f64 x 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 (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))))))

simplify23.0ms (0.5%)

Algorithm
egg-herbie
Rules
176×fma-def_binary64
37×associate-+l+_binary64
25×associate-+r+_binary64
20×distribute-rgt-in_binary64
15×distribute-rgt-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013438
133330
271318
3164318
4279318
5325318
6359318
7365318
Stop Event
saturated
Counts
112 → 86
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))
(+.f64 y (*.f64 y 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))
(+.f64 y (*.f64 y 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))
(+.f64 y (*.f64 y 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))

eval19.0ms (0.4%)

Compiler

Compiled 1162 to 452 computations (61.1% saved)

prune72.0ms (1.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New81586
Fresh000
Picked101
Done000
Total82587
Error
0b
Counts
87 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
36.8b
(*.f64 (+.f64 y x) z)
31.0b
(*.f64 y (+.f64 1 z))
0.0b
(+.f64 (*.f64 (+.f64 z 1) y) (*.f64 (+.f64 z 1) x))
26.0b
(+.f64 y x)
32.4b
(*.f64 (+.f64 1 z) x)
Compiler

Compiled 88 to 62 computations (29.5% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 31 to 19 computations (38.7% saved)

series7.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

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

rewrite92.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
481×log-prod_binary64
456×fma-def_binary64
378×pow-prod-down_binary64
350×exp-prod_binary64
255×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0917
119417
2270715
Stop Event
node limit
Counts
2 → 126
Calls
Call 1
Inputs
(*.f64 (+.f64 z 1) y)
(+.f64 (*.f64 (+.f64 z 1) y) (*.f64 (+.f64 z 1) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 z y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 z y y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z y y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 z 3)) y) (-.f64 (fma.f64 z z 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z -1) y) (+.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (pow.f64 z 3))) (-.f64 (fma.f64 z z 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 z z -1)) (+.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z y y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 z y y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z y y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z y y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z y y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z y y))) 2)) (cbrt.f64 (log.f64 (fma.f64 z y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z y y)))) (sqrt.f64 (log.f64 (fma.f64 z y y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z y y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z y y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z y y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z y y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z y y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z y y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 z y y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z y y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z y y)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y z))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 z 1) (+.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 z y y) 2) (*.f64 (+.f64 z 1) (-.f64 y x))) (/.f64 (pow.f64 (fma.f64 z x x) 2) (*.f64 (+.f64 z 1) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 z 1) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z 1) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z 1) (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 z 1) (+.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 z 1) (+.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 z 1) (+.f64 y x))) 2) (cbrt.f64 (*.f64 (+.f64 z 1) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 z 1)) 2) (*.f64 (cbrt.f64 (+.f64 z 1)) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 z x x) 2) (pow.f64 (fma.f64 z y y) 2)) (-.f64 (fma.f64 z x x) (fma.f64 z y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 z 3)) (+.f64 y x)) (-.f64 (fma.f64 z z 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z -1) (+.f64 y x)) (+.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 z 1) (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 (log1p.f64 z) (log.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 z 1) (+.f64 y x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 z 1) (+.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 z 1) (+.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 z 1) (+.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 z x x) (-.f64 (fma.f64 z x x) (fma.f64 z y y)) (pow.f64 (fma.f64 z y y) 2)) (+.f64 (pow.f64 (fma.f64 z y y) 3) (pow.f64 (fma.f64 z x x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 z 1) (-.f64 y x)) (-.f64 (pow.f64 (fma.f64 z y y) 2) (pow.f64 (fma.f64 z x x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 z) (log.f64 (+.f64 y x)))) 2)) (cbrt.f64 (+.f64 (log1p.f64 z) (log.f64 (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 z) (log.f64 (+.f64 y x))))) (sqrt.f64 (+.f64 (log1p.f64 z) (log.f64 (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 z 1) (+.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 z 1)) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 z 1) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 z y y))) (exp.f64 (fma.f64 z x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 z y 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 y 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 (fma.f64 z y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 z x x)) (+.f64 1 (expm1.f64 (fma.f64 z y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 z x x))) (+.f64 1 (expm1.f64 (fma.f64 z y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 z 1) (+.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 z 1) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 z 1) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 z) (log.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 (+.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 z) (log.f64 (+.f64 y x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (+.f64 (log1p.f64 z) (log.f64 (+.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (+.f64 (log1p.f64 z) (log.f64 (+.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 (+.f64 y x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 z y y) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 z x x) (fma.f64 z y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z 1) y (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z 1) x (fma.f64 z y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 z 1) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z y y) 1 (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 z 1) (fma.f64 z y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z x x) 1 (fma.f64 z y 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) (fma.f64 z y 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)) (fma.f64 z y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 z 1)) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 z y y)) (pow.f64 (cbrt.f64 (fma.f64 z y y)) 2) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z y y)) 2) (cbrt.f64 (fma.f64 z y y)) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 z 1)) (fma.f64 z y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 z 1)) 2) (*.f64 (cbrt.f64 (+.f64 z 1)) x) (fma.f64 z y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 z 1)) 2) (*.f64 (cbrt.f64 (+.f64 z 1)) y) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 z x x)) (sqrt.f64 (fma.f64 z x x)) (fma.f64 z y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 z 1)) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 z y y)) (sqrt.f64 (fma.f64 z y 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)) (fma.f64 z y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 z 1)) (*.f64 (sqrt.f64 (+.f64 z 1)) x) (fma.f64 z y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 z 1)) (*.f64 (sqrt.f64 (+.f64 z 1)) y) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 z 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 z y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 z 1) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z y 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)) (fma.f64 z y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (+.f64 z 1))) (sqrt.f64 (+.f64 z 1)) (fma.f64 z y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 z 1) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 z 1) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 z 1)) 2)) (cbrt.f64 (+.f64 z 1)) (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (+.f64 z 1))) (sqrt.f64 (+.f64 z 1)) (fma.f64 z x x))))))

simplify76.0ms (1.6%)

Algorithm
egg-herbie
Rules
681×fma-def_binary64
674×fma-neg_binary64
132×distribute-rgt-in_binary64
95×associate--r+_binary64
94×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023465
163465
2142432
3450432
41020432
52170432
62936432
72981432
82981432
Stop Event
saturated
Counts
186 → 138
Calls
Call 1
Inputs
y
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) y)
(*.f64 y z)
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) y)
(*.f64 y z)
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) y)
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.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 -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 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 (+.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)))
Outputs
y
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(*.f64 y z)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(*.f64 y z)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(+.f64 y x)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) 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))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(*.f64 z (+.f64 y x))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z)) x))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 z 1) x)
(fma.f64 z x x)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 y (+.f64 1 z))
(fma.f64 y z y)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 z 1) x)
(fma.f64 z x x)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 z 1) x)
(fma.f64 z x x)
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z)))
(+.f64 y (fma.f64 (+.f64 y x) z x))
(+.f64 y (fma.f64 z (+.f64 y x) x))
(*.f64 (+.f64 z 1) (+.f64 y x))

localize3.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite66.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
643×pow1_binary64
598×add-log-exp_binary64
598×log1p-expm1-u_binary64
598×expm1-log1p-u_binary64
585×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11267
216667
Stop Event
node limit
Counts
1 → 26
Calls
Call 1
Inputs
(*.f64 y (+.f64 1 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 y (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 y (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 z 3)) y) (+.f64 1 (fma.f64 z z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) y) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 z z))) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 z) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y z))))))

simplify9.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0554
1854
21254
31654
42254
52854
64154
74554
84754
Stop Event
saturated
Counts
38 → 29
Calls
Call 1
Inputs
y
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) y)
(*.f64 y z)
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) y)
(*.f64 y z)
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) y)
Outputs
y
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(*.f64 y z)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(*.f64 y z)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)

localize6.0ms (0.1%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

9 calls:

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

rewrite134.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
715×pow1_binary64
663×add-log-exp_binary64
663×log1p-expm1-u_binary64
663×expm1-log1p-u_binary64
648×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
217767
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (+.f64 y x) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 y x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 3)) z) (fma.f64 y y (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) z) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y y (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (+.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y x) z)))))))

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
fma-def_binary64
+-commutative_binary64
distribute-rgt-out_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07168
111150
218150
320150
Stop Event
saturated
Counts
45 → 26
Calls
Call 1
Inputs
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
Outputs
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 y z) (*.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))

eval59.0ms (1.2%)

Compiler

Compiled 2474 to 1065 computations (57% saved)

prune61.0ms (1.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1894193
Fresh000
Picked011
Done134
Total1908198
Error
0b
Counts
198 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
36.8b
(*.f64 (+.f64 y x) z)
31.0b
(*.f64 y (+.f64 1 z))
32.4b
(*.f64 (+.f64 1 z) x)
48.2b
(*.f64 z y)
51.0b
(*.f64 z x)
45.2b
y
26.0b
(+.f64 y x)
36.8b
(+.f64 (*.f64 z y) (*.f64 z x))
Compiler

Compiled 56 to 38 computations (32.1% saved)

localize3.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize3.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series7.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite58.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
836×pow1_binary64
774×add-log-exp_binary64
774×log1p-expm1-u_binary64
774×expm1-log1p-u_binary64
757×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11517
221067
Stop Event
node limit
Counts
1 → 41
Calls
Call 1
Inputs
(+.f64 (*.f64 z y) (*.f64 z x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (+.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 z y) 2) (*.f64 z (-.f64 y x))) (/.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) 2) (cbrt.f64 (*.f64 z (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 z x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z y) 2) (pow.f64 (*.f64 z x) 2)) (/.f64 1 (*.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y)))) (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 z x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z (-.f64 y x)) (-.f64 (pow.f64 (*.f64 z y) 2) (pow.f64 (*.f64 z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 z x) 3)) (+.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 z x) 3)) (+.f64 (pow.f64 (*.f64 z x) 2) (-.f64 (pow.f64 (*.f64 z y) 2) (*.f64 z (*.f64 y (*.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z y) 2) (pow.f64 (*.f64 z x) 2)) (*.f64 z (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (*.f64 z x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) 2) (pow.f64 (*.f64 z x) 2))) (neg.f64 (*.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (pow.f64 (*.f64 z y) 2)) (-.f64 (*.f64 z x) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 z x)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (cbrt.f64 (*.f64 z y)) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 z x))))))

simplify26.0ms (0.5%)

Algorithm
egg-herbie
Rules
90×fma-neg_binary64
85×fma-def_binary64
42×cancel-sign-sub-inv_binary64
38×distribute-rgt-in_binary64
34×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015234
134234
280234
3210234
4434234
5567234
6677234
7682234
Stop Event
saturated
Counts
77 → 46
Calls
Call 1
Inputs
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 z x)
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
Outputs
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(*.f64 (+.f64 y x) z)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(*.f64 (+.f64 y x) z)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(*.f64 (+.f64 y x) z)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 y)) z))
(*.f64 (+.f64 y x) z)
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (*.f64 y z) (*.f64 z x))
(*.f64 (+.f64 y x) z)

eval9.0ms (0.2%)

Compiler

Compiled 563 to 192 computations (65.9% saved)

prune10.0ms (0.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New46046
Fresh011
Picked011
Done066
Total46854
Error
0b
Counts
54 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
36.8b
(*.f64 (+.f64 y x) z)
31.0b
(*.f64 y (+.f64 1 z))
32.4b
(*.f64 (+.f64 1 z) x)
48.2b
(*.f64 z y)
51.0b
(*.f64 z x)
45.2b
y
26.0b
(+.f64 y x)
36.8b
(+.f64 (*.f64 z y) (*.f64 z x))
Compiler

Compiled 56 to 38 computations (32.1% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune54.0ms (1.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done077
Total088
Error
0b
Counts
8 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
36.8b
(*.f64 (+.f64 y x) z)
31.0b
(*.f64 y (+.f64 1 z))
32.4b
(*.f64 (+.f64 1 z) x)
48.2b
(*.f64 z y)
51.0b
(*.f64 z x)
45.2b
y
26.0b
(+.f64 y x)
36.8b
(+.f64 (*.f64 z y) (*.f64 z x))
Compiler

Compiled 56 to 38 computations (32.1% saved)

regimes44.0ms (0.9%)

Counts
10 → 1
Calls
Call 1
Inputs
y
(*.f64 z y)
(*.f64 z x)
(+.f64 y x)
(*.f64 (+.f64 y x) z)
(*.f64 y (+.f64 1 z))
(*.f64 (+.f64 1 z) x)
(+.f64 (*.f64 z y) (*.f64 z x))
(*.f64 (+.f64 x y) (+.f64 z 1))
(+.f64 (*.f64 (+.f64 z 1) y) (*.f64 (+.f64 z 1) x))
Outputs
(*.f64 (+.f64 x y) (+.f64 z 1))
Calls

6 calls:

10.0ms
(*.f64 (+.f64 x y) (+.f64 z 1))
8.0ms
x
7.0ms
(+.f64 x y)
6.0ms
y
6.0ms
z
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(*.f64 (+.f64 x y) (+.f64 z 1))
0.0b1(+.f64 x y)
0.0b1(+.f64 z 1)
Compiler

Compiled 87 to 50 computations (42.5% saved)

regimes134.0ms (2.8%)

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

3 calls:

106.0ms
y
16.0ms
z
10.0ms
x
Results
ErrorSegmentsBranch
9.9b2x
10.7b6y
1.0b3z
Compiler

Compiled 47 to 23 computations (51.1% saved)

bsearch32.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
15.0ms
3.03601651907226e-5
83.00436879759283
16.0ms
-74.02233883969043
-6.1027197920724675e-16
Compiler

Compiled 16 to 12 computations (25% saved)

regimes105.0ms (2.2%)

Counts
4 → 8
Calls
Call 1
Inputs
y
(*.f64 z y)
(*.f64 z x)
(+.f64 y x)
Outputs
(*.f64 z y)
(*.f64 z x)
(*.f64 z y)
(*.f64 z x)
(+.f64 y x)
(*.f64 z y)
(*.f64 z x)
(*.f64 z y)
Calls

3 calls:

65.0ms
z
24.0ms
x
15.0ms
y
Results
ErrorSegmentsBranch
21.7b5x
24.5b3y
9.0b8z
Compiler

Compiled 25 to 15 computations (40% saved)

bsearch622.0ms (12.9%)

Algorithm
binary-search
Steps
TimeLeftRight
62.0ms
1.1262363423531213e+169
8.612958621598471e+181
88.0ms
6.327560015191897e+110
4.4848990282517114e+111
29.0ms
3.03601651907226e-5
83.00436879759283
101.0ms
-74.02233883969043
-6.1027197920724675e-16
206.0ms
-9.542243659165921e+44
-4.8098867020598466e+39
30.0ms
-8.463385811636158e+62
-4.869556256686405e+62
106.0ms
-7.820917980234738e+116
-2.286446715403474e+115
Compiler

Compiled 520 to 372 computations (28.5% saved)

regimes135.0ms (2.8%)

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

3 calls:

65.0ms
z
36.0ms
x
32.0ms
y
Results
ErrorSegmentsBranch
35.8b4x
34.2b3y
28.2b8z
Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch546.0ms (11.3%)

Algorithm
binary-search
Steps
TimeLeftRight
94.0ms
1.1262363423531213e+169
8.612958621598471e+181
58.0ms
6.327560015191897e+110
4.4848990282517114e+111
28.0ms
3.03601651907226e-5
83.00436879759283
48.0ms
-74.02233883969043
-6.1027197920724675e-16
204.0ms
-9.542243659165921e+44
-4.8098867020598466e+39
62.0ms
-8.463385811636158e+62
-4.869556256686405e+62
51.0ms
-7.820917980234738e+116
-2.286446715403474e+115
Compiler

Compiled 520 to 372 computations (28.5% saved)

regimes137.0ms (2.8%)

Accuracy

Total -30.7b remaining (-97.5%)

Threshold costs -30.7b (-97.5%)

Counts
2 → 3
Calls
Call 1
Inputs
y
(*.f64 z y)
Outputs
(*.f64 z y)
y
(*.f64 z y)
Calls

3 calls:

38.0ms
x
21.0ms
z
21.0ms
y
Results
ErrorSegmentsBranch
41.4b3x
40.8b2y
31.5b3z
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch83.0ms (1.7%)

Algorithm
binary-search
Steps
TimeLeftRight
31.0ms
3.03601651907226e-5
83.00436879759283
52.0ms
-74.02233883969043
-6.1027197920724675e-16
Compiler

Compiled 16 to 12 computations (25% saved)

simplify96.0ms (2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
043207
152207
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 z 1))
(if (<=.f64 z -2604429512621269/35184372088832) (*.f64 (+.f64 y x) z) (if (<=.f64 z 4480369578470441/147573952589676412928) (+.f64 y x) (*.f64 (+.f64 y x) z)))
(if (<=.f64 z -759999999999999976829144661866609908483797427778064843710314746836034690872884631922140909145421288657705941090697216) (*.f64 z y) (if (<=.f64 z -500000000000000028928979971363484913696689344587520219086323712) (*.f64 z x) (if (<=.f64 z -8200000000000000089526335121011955789201408) (*.f64 z y) (if (<=.f64 z -2604429512621269/35184372088832) (*.f64 z x) (if (<=.f64 z 4480369578470441/147573952589676412928) (+.f64 y x) (if (<=.f64 z 649999999999999965257892729814336235478875078438095525033555907790333788869217442855626262051329290507330256896) (*.f64 z y) (if (<=.f64 z 11499999999999999658389688410250366828965708682881503947764649350050850490906737064000588914650571417524089195612265112282198447682304436302522610685473189927236958945280) (*.f64 z x) (*.f64 z y))))))))
(if (<=.f64 z -759999999999999976829144661866609908483797427778064843710314746836034690872884631922140909145421288657705941090697216) (*.f64 z y) (if (<=.f64 z -500000000000000028928979971363484913696689344587520219086323712) (*.f64 z x) (if (<=.f64 z -8200000000000000089526335121011955789201408) (*.f64 z y) (if (<=.f64 z -2604429512621269/35184372088832) (*.f64 z x) (if (<=.f64 z 4480369578470441/147573952589676412928) y (if (<=.f64 z 649999999999999965257892729814336235478875078438095525033555907790333788869217442855626262051329290507330256896) (*.f64 z y) (if (<=.f64 z 11499999999999999658389688410250366828965708682881503947764649350050850490906737064000588914650571417524089195612265112282198447682304436302522610685473189927236958945280) (*.f64 z x) (*.f64 z y))))))))
(if (<=.f64 z -2604429512621269/35184372088832) (*.f64 z y) (if (<=.f64 z 4480369578470441/147573952589676412928) y (*.f64 z y)))
y
Outputs
(*.f64 (+.f64 x y) (+.f64 z 1))
(*.f64 (+.f64 z 1) (+.f64 x y))
(if (<=.f64 z -2604429512621269/35184372088832) (*.f64 (+.f64 y x) z) (if (<=.f64 z 4480369578470441/147573952589676412928) (+.f64 y x) (*.f64 (+.f64 y x) z)))
(if (<=.f64 z -2604429512621269/35184372088832) (*.f64 z (+.f64 x y)) (if (<=.f64 z 4480369578470441/147573952589676412928) (+.f64 x y) (*.f64 z (+.f64 x y))))
(if (<=.f64 z -759999999999999976829144661866609908483797427778064843710314746836034690872884631922140909145421288657705941090697216) (*.f64 z y) (if (<=.f64 z -500000000000000028928979971363484913696689344587520219086323712) (*.f64 z x) (if (<=.f64 z -8200000000000000089526335121011955789201408) (*.f64 z y) (if (<=.f64 z -2604429512621269/35184372088832) (*.f64 z x) (if (<=.f64 z 4480369578470441/147573952589676412928) (+.f64 y x) (if (<=.f64 z 649999999999999965257892729814336235478875078438095525033555907790333788869217442855626262051329290507330256896) (*.f64 z y) (if (<=.f64 z 11499999999999999658389688410250366828965708682881503947764649350050850490906737064000588914650571417524089195612265112282198447682304436302522610685473189927236958945280) (*.f64 z x) (*.f64 z y))))))))
(if (<=.f64 z -759999999999999976829144661866609908483797427778064843710314746836034690872884631922140909145421288657705941090697216) (*.f64 y z) (if (<=.f64 z -500000000000000028928979971363484913696689344587520219086323712) (*.f64 x z) (if (<=.f64 z -8200000000000000089526335121011955789201408) (*.f64 y z) (if (<=.f64 z -2604429512621269/35184372088832) (*.f64 x z) (if (<=.f64 z 4480369578470441/147573952589676412928) (+.f64 x y) (if (<=.f64 z 649999999999999965257892729814336235478875078438095525033555907790333788869217442855626262051329290507330256896) (*.f64 y z) (if (<=.f64 z 11499999999999999658389688410250366828965708682881503947764649350050850490906737064000588914650571417524089195612265112282198447682304436302522610685473189927236958945280) (*.f64 x z) (*.f64 y z))))))))
(if (<=.f64 z -759999999999999976829144661866609908483797427778064843710314746836034690872884631922140909145421288657705941090697216) (*.f64 z y) (if (<=.f64 z -500000000000000028928979971363484913696689344587520219086323712) (*.f64 z x) (if (<=.f64 z -8200000000000000089526335121011955789201408) (*.f64 z y) (if (<=.f64 z -2604429512621269/35184372088832) (*.f64 z x) (if (<=.f64 z 4480369578470441/147573952589676412928) y (if (<=.f64 z 649999999999999965257892729814336235478875078438095525033555907790333788869217442855626262051329290507330256896) (*.f64 z y) (if (<=.f64 z 11499999999999999658389688410250366828965708682881503947764649350050850490906737064000588914650571417524089195612265112282198447682304436302522610685473189927236958945280) (*.f64 z x) (*.f64 z y))))))))
(if (<=.f64 z -759999999999999976829144661866609908483797427778064843710314746836034690872884631922140909145421288657705941090697216) (*.f64 y z) (if (<=.f64 z -500000000000000028928979971363484913696689344587520219086323712) (*.f64 x z) (if (<=.f64 z -8200000000000000089526335121011955789201408) (*.f64 y z) (if (<=.f64 z -2604429512621269/35184372088832) (*.f64 x z) (if (<=.f64 z 4480369578470441/147573952589676412928) y (if (<=.f64 z 649999999999999965257892729814336235478875078438095525033555907790333788869217442855626262051329290507330256896) (*.f64 y z) (if (<=.f64 z 11499999999999999658389688410250366828965708682881503947764649350050850490906737064000588914650571417524089195612265112282198447682304436302522610685473189927236958945280) (*.f64 x z) (*.f64 y z))))))))
(if (<=.f64 z -2604429512621269/35184372088832) (*.f64 z y) (if (<=.f64 z 4480369578470441/147573952589676412928) y (*.f64 z y)))
(if (<=.f64 z -2604429512621269/35184372088832) (*.f64 y z) (if (<=.f64 z 4480369578470441/147573952589676412928) y (*.f64 y z)))
y
Compiler

Compiled 164 to 84 computations (48.8% saved)

soundness0.0ms (0%)

end87.0ms (1.8%)

Remove

(sort x y)

Compiler

Compiled 169 to 78 computations (53.8% saved)

Profiling

Loading profile data...