Details

Time bar (total: 3.1s)

analyze57.0ms (1.9%)

Algorithm
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
25%74.9%0.1%5
37.5%62.4%0.1%6
50%48.4%1.7%7
59.3%38.2%2.4%8
67.1%27.7%5.2%9
72.6%21.3%6.1%10
76.9%14.7%8.4%11
79.8%11.2%9%12
Compiler

Compiled 10 to 6 computations (40% saved)

sample877.0ms (28.2%)

Results
839.0ms8256×body256valid
24.0ms308×body256invalid

preprocess38.0ms (1.2%)

Algorithm
egg-herbie
Rules
247×fma-neg_binary64
169×fma-def_binary64
59×cancel-sign-sub-inv_binary64
37×sub-neg_binary64
34×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
12720
24620
38218
415216
528416
653416
779016
893216
995216
1095316
022
122
Stop Event
unsound
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
0
Call 2
Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(-.f64 (+.f64 y x) (*.f64 y x))
Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(+.f64 x (-.f64 y (*.f64 x y)))
(-.f64 x (-.f64 (*.f64 x y) y))
(fma.f64 (fma.f64 x -1 1) y x)
(fma.f64 x (-.f64 1 y) y)
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 x y)))
(-.f64 x (-.f64 (*.f64 x y) y))
(fma.f64 (fma.f64 x -1 1) y x)
(fma.f64 x (-.f64 1 y) y)
Symmetry

(sort x y)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify28.0ms (0.9%)

Algorithm
egg-herbie
Rules
249×fma-neg_binary64
179×fma-def_binary64
55×cancel-sign-sub-inv_binary64
39×sub-neg_binary64
37×associate--r+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0610
11510
23510
3699
41368
52658
65098
77778
89528
99818
109828
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(+.f64 x (-.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 y) (+.f64 x y))
(fma.f64 (fma.f64 -1 y 1) x y)
(fma.f64 x (-.f64 1 y) y)

eval1.0ms (0%)

Compiler

Compiled 15 to 8 computations (46.7% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x (-.f64 1 y) y)
0.0b
(-.f64 (+.f64 x y) (*.f64 x y))
Compiler

Compiled 17 to 10 computations (41.2% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 5 computations (70.6% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite199.0ms (6.4%)

Algorithm
batch-egg-rewrite
Rules
917×pow1_binary64
857×add-log-exp_binary64
857×log1p-expm1-u_binary64
857×expm1-log1p-u_binary64
840×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
114410
2233110
Stop Event
node limit
Counts
1 → 47
Calls
Call 1
Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 y (*.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (-.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (+.f64 x (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x y) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x y) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (-.f64 x (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (-.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 2) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) (sqrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x y) (+.f64 y (+.f64 x (*.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 y (+.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x y) (+.f64 y (+.f64 x (*.f64 x y))))) (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (+.f64 x (*.f64 x y))) (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x y) (+.f64 y (+.f64 x (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 y (+.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x y) (+.f64 y (+.f64 x (*.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 y (+.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y (*.f64 x y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y))) (*.f64 x (-.f64 y (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (+.f64 x y) (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y)))) (-.f64 x (-.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (+.f64 x y) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 y (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x y) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 x (neg.f64 y)))))))

simplify48.0ms (1.6%)

Algorithm
egg-herbie
Rules
252×fma-def_binary64
185×fma-neg_binary64
41×cancel-sign-sub-inv_binary64
33×sub-neg_binary64
32×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019210
145174
286174
3166174
4243174
5349174
6521174
7788174
8919174
9957174
10961174
Stop Event
saturated
Counts
71 → 60
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(*.f64 (-.f64 1 y) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(+.f64 y (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 y (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 y (*.f64 (+.f64 1 (*.f64 -1 y)) x))
x
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
Outputs
y
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 y (-.f64 1 x) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 y (-.f64 1 x) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(+.f64 y (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 y (-.f64 1 x) x)
x
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 y (-.f64 1 x) x)
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(fma.f64 x (neg.f64 y) y)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 y (-.f64 1 x) x)
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(fma.f64 x (neg.f64 y) y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 y (-.f64 1 x) x)

localize6.0ms (0.2%)

Compiler

Compiled 14 to 8 computations (42.9% saved)

eval273.0ms (8.8%)

Compiler

Compiled 809 to 243 computations (70% saved)

prune10.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New56460
Fresh000
Picked101
Done011
Total57562
Error
0b
Counts
62 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
36.8b
x
0.0b
(-.f64 (+.f64 x y) (*.f64 x y))
26.1b
(*.f64 y (-.f64 1 x))
32.1b
(-.f64 x (*.f64 y x))
31.5b
y
Compiler

Compiled 29 to 18 computations (37.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite61.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
617×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
561×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11227
215107
Stop Event
node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 y (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) y) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 1 x))))))))

simplify44.0ms (1.4%)

Algorithm
egg-herbie
Rules
133×fma-def_binary64
90×fma-neg_binary64
22×cancel-sign-sub-inv_binary64
21×associate-*r*_binary64
17×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0794
11376
23076
34676
46476
512876
625376
735976
845776
953376
Stop Event
saturated
Counts
29 → 22
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
Outputs
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (neg.f64 (*.f64 y x)))
(-.f64 y (*.f64 y x))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (-.f64 1 x))

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 y x))
Compiler

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite53.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
651×pow1_binary64
606×add-log-exp_binary64
606×log1p-expm1-u_binary64
606×expm1-log1p-u_binary64
593×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11137
216547
Stop Event
node limit
Counts
1 → 40
Calls
Call 1
Inputs
(-.f64 x (*.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) 2) (cbrt.f64 (-.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 x y))) (sqrt.f64 (-.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 x y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2)) (+.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 x (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 x (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 y)))))))

simplify311.0ms (10%)

Algorithm
egg-herbie
Rules
145×fma-def_binary64
71×fma-neg_binary64
21×cancel-sign-sub-inv_binary64
20×associate-*r*_binary64
18×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014160
127160
249160
388160
4136160
5223160
6371160
7451160
8519160
9525160
Stop Event
saturated
Counts
64 → 48
Calls
Call 1
Inputs
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
x
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 -1 (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
Outputs
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
x
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 y (neg.f64 x) x)

eval16.0ms (0.5%)

Compiler

Compiled 716 to 277 computations (61.3% saved)

prune12.0ms (0.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New67370
Fresh112
Picked011
Done022
Total68775
Error
0b
Counts
75 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
32.1b
(-.f64 x (*.f64 y x))
26.1b
(+.f64 y (*.f64 (neg.f64 x) y))
57.3b
(*.f64 y (neg.f64 x))
0.0b
(-.f64 (+.f64 x y) (*.f64 x y))
36.8b
x
26.1b
(*.f64 y (-.f64 1 x))
31.5b
y
Compiler

Compiled 43 to 27 computations (37.2% saved)

localize5.0ms (0.2%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 5 computations (68.8% saved)

series5.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

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

rewrite80.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
637×pow1_binary64
594×add-log-exp_binary64
592×log1p-expm1-u_binary64
592×expm1-log1p-u_binary64
581×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069
11365
220635
Stop Event
node limit
Counts
1 → 44
Calls
Call 1
Inputs
(+.f64 y (*.f64 (neg.f64 x) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 y (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (fma.f64 y x y)) (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y x y) 2) (/.f64 1 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) 2) (cbrt.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 y (*.f64 y x))) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y x y) (pow.f64 (fma.f64 y x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 y x y) 2) (fma.f64 y x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 y y) (*.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 y x y) 2)) (neg.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (-.f64 (*.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))))))

simplify42.0ms (1.3%)

Algorithm
egg-herbie
Rules
145×fma-def_binary64
57×fma-neg_binary64
37×associate-*r*_binary64
34×associate-*l*_binary64
29×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014202
138160
274160
3138160
4205160
5399160
6540160
7544160
Stop Event
saturated
Counts
68 → 50
Calls
Call 1
Inputs
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(*.f64 -1 (*.f64 y (-.f64 x 1)))
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
Outputs
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))

eval19.0ms (0.6%)

Compiler

Compiled 503 to 198 computations (60.6% saved)

prune48.0ms (1.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New49150
Fresh022
Picked101
Done044
Total50757
Error
0b
Counts
57 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
26.1b
(-.f64 y (*.f64 y x))
57.3b
(*.f64 y (neg.f64 x))
0.0b
(-.f64 (+.f64 x y) (*.f64 x y))
36.8b
x
26.1b
(*.f64 y (-.f64 1 x))
32.1b
(-.f64 x (*.f64 y x))
31.5b
y
Compiler

Compiled 42 to 26 computations (38.1% saved)

localize27.0ms (0.9%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 y (*.f64 y x))
Compiler

Compiled 12 to 4 computations (66.7% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite193.0ms (6.2%)

Algorithm
batch-egg-rewrite
Rules
649×pow1_binary64
604×add-log-exp_binary64
604×log1p-expm1-u_binary64
604×expm1-log1p-u_binary64
591×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11137
216507
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(-.f64 y (*.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 x) y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 y) x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 2) (cbrt.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y (*.f64 y x))) (sqrt.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x)))) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (*.f64 y x)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2)) (+.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2))) (neg.f64 (+.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 y (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 y (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 y (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 y (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 y (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 y (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))))))

simplify27.0ms (0.9%)

Algorithm
egg-herbie
Rules
124×fma-def_binary64
69×fma-neg_binary64
20×cancel-sign-sub-inv_binary64
18×associate-*r*_binary64
18×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013160
133160
251160
388160
4122160
5201160
6341160
7419160
8489160
9495160
Stop Event
saturated
Counts
62 → 44
Calls
Call 1
Inputs
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (-.f64 1 x))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
Outputs
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))

eval8.0ms (0.3%)

Compiler

Compiled 523 to 160 computations (69.4% saved)

prune12.0ms (0.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New43144
Fresh112
Picked011
Done044
Total44751
Error
0b
Counts
51 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
26.1b
(-.f64 y (*.f64 y x))
57.3b
(*.f64 y (neg.f64 x))
0.0b
(-.f64 (+.f64 x y) (*.f64 x y))
36.8b
x
26.1b
(*.f64 y (-.f64 1 x))
31.5b
y
32.1b
(-.f64 x (*.f64 y x))
Compiler

Compiled 42 to 26 computations (38.1% saved)

regimes31.0ms (1%)

Counts
11 → 1
Calls
Call 1
Inputs
y
x
x
y
(*.f64 y (neg.f64 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 x (*.f64 y x))
(+.f64 y (*.f64 (neg.f64 x) y))
(-.f64 (+.f64 x y) (*.f64 x y))
(fma.f64 x (-.f64 1 y) y)
Outputs
(fma.f64 x (-.f64 1 y) y)
Calls

3 calls:

13.0ms
y
9.0ms
x
7.0ms
(-.f64 (+.f64 x y) (*.f64 x y))
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1(-.f64 (+.f64 x y) (*.f64 x y))
Compiler

Compiled 59 to 27 computations (54.2% saved)

regimes25.0ms (0.8%)

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

3 calls:

8.0ms
y
7.0ms
x
7.0ms
(-.f64 (+.f64 x y) (*.f64 x y))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(-.f64 (+.f64 x y) (*.f64 x y))
Compiler

Compiled 53 to 24 computations (54.7% saved)

regimes58.0ms (1.9%)

Counts
9 → 2
Calls
Call 1
Inputs
y
x
x
y
(*.f64 y (neg.f64 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
(-.f64 x (*.f64 y x))
(+.f64 y (*.f64 (neg.f64 x) y))
Outputs
(-.f64 x (*.f64 y x))
(-.f64 y (*.f64 y x))
Calls

2 calls:

30.0ms
x
25.0ms
y
Results
ErrorSegmentsBranch
8.6b4x
5.3b2y
Compiler

Compiled 37 to 16 computations (56.8% saved)

bsearch17.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
1.2377191191417515e-141
7.712219307708418e-133
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes65.0ms (2.1%)

Counts
7 → 2
Calls
Call 1
Inputs
y
x
x
y
(*.f64 y (neg.f64 x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 1 x))
Outputs
x
(-.f64 y (*.f64 y x))
Calls

2 calls:

49.0ms
x
14.0ms
y
Results
ErrorSegmentsBranch
11.7b4x
5.8b2y
Compiler

Compiled 26 to 13 computations (50% saved)

bsearch62.0ms (2%)

Algorithm
binary-search
Steps
TimeLeftRight
62.0ms
1.2377191191417515e-141
7.712219307708418e-133
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes109.0ms (3.5%)

Accuracy

Total -51.8b remaining (-485.3%)

Threshold costs -51.8b (-485.3%)

Counts
5 → 2
Calls
Call 1
Inputs
y
x
x
y
(*.f64 y (neg.f64 x))
Outputs
x
y
Calls

2 calls:

90.0ms
x
18.0ms
y
Results
ErrorSegmentsBranch
12.1b5x
10.7b2y
Compiler

Compiled 16 to 8 computations (50% saved)

bsearch16.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
1.2377191191417515e-141
7.712219307708418e-133
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
cancel-sign-sub-inv_binary64
*-commutative_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861
13661
25261
35861
46161
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 x (-.f64 1 y) y)
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 y 8496691312983215/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) (-.f64 x (*.f64 y x)) (-.f64 y (*.f64 y x)))
(if (<=.f64 y 8496691312983215/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) x (-.f64 y (*.f64 y x)))
(if (<=.f64 y 8496691312983215/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) x y)
y
Outputs
(fma.f64 x (-.f64 1 y) y)
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 y 8496691312983215/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) (-.f64 x (*.f64 y x)) (-.f64 y (*.f64 y x)))
(if (<=.f64 y 8496691312983215/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) (-.f64 x (*.f64 x y)) (-.f64 y (*.f64 x y)))
(if (<=.f64 y 8496691312983215/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) x (-.f64 y (*.f64 y x)))
(if (<=.f64 y 8496691312983215/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) x (-.f64 y (*.f64 x y)))
(if (<=.f64 y 8496691312983215/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) x y)
y
Compiler

Compiled 56 to 32 computations (42.9% saved)

soundness89.0ms (2.9%)

Algorithm
egg-herbie
Rules
249×fma-neg_binary64
179×fma-def_binary64
55×cancel-sign-sub-inv_binary64
39×sub-neg_binary64
37×associate--r+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0610
11510
23510
3699
41368
52658
65098
77778
89528
99818
109828
Stop Event
saturated
Compiler

Compiled 124 to 77 computations (37.9% saved)

end88.0ms (2.8%)

Compiler

Compiled 62 to 29 computations (53.2% saved)

Profiling

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