Details

Time bar (total: 2.5s)

analyze121.0ms (4.8%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
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)

sample1.1s (45.4%)

Results
1.1s8255×body256valid
29.0ms328×body256invalid
0.0ms1×body1024valid

preprocess18.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
50×fma-def_binary64
7×+-commutative_binary64
5×*-commutative_binary64
5×associate-*l*_binary64
4×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
12116
23416
34216
45616
56816
69416
710916
811116
022
122
Stop Event
1×unsound
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
0
Call 2
Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (+.f64 (*.f64 y x) y) x)
Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 x (+.f64 y 1) y)
(+.f64 (+.f64 (*.f64 y x) y) x)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 x (+.f64 y 1) y)
Symmetry

(sort x y)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify12.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
48×fma-def_binary64
6×+-commutative_binary64
6×*-commutative_binary64
6×distribute-rgt-in_binary64
4×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1128
2258
3358
4458
5588
6808
71028
81098
91108
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))

eval0.0ms (0%)

Compiler

Compiled 15 to 7 computations (53.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(+.f64 (+.f64 (*.f64 x y) x) y)
Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 19 to 5 computations (73.7% saved)

series5.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite60.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
905×pow1_binary64
846×add-log-exp_binary64
846×log1p-expm1-u_binary64
846×expm1-log1p-u_binary64
828×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
114213
2224713
Stop Event
1×node limit
Counts
2 → 78
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) x)
(+.f64 (+.f64 (*.f64 x y) x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x y) x) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (-.f64 (*.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 x y) x)))))) (#(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 pow.f64 (fma.f64 x y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.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)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 y (fma.f64 x y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 x y x) 2) (-.f64 (fma.f64 x y x) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 x y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (fma.f64 x y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (fma.f64 x y x))) (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x y x))) 2) (cbrt.f64 (+.f64 y (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (fma.f64 x y x))) (sqrt.f64 (+.f64 y (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x y x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x y x) 2) (*.f64 y (-.f64 y (fma.f64 x y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x y x) 2) (*.f64 y y)) (/.f64 1 (-.f64 (fma.f64 x y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x y x) 2) (*.f64 y (-.f64 y (fma.f64 x y x)))) (+.f64 (pow.f64 (fma.f64 x y x) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 x y x) y) (-.f64 (pow.f64 (fma.f64 x y x) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x y x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (fma.f64 x y x) 2) (*.f64 y (-.f64 y (fma.f64 x y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x y x) 3) (pow.f64 y 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (fma.f64 x y x) 2) (*.f64 y (fma.f64 x y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y x) 2) (*.f64 y y)) (-.f64 (fma.f64 x y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x y x) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x y x) 2) (*.f64 y (-.f64 y (fma.f64 x y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y x) 2) (*.f64 y y))) (neg.f64 (-.f64 (fma.f64 x y x) y)))))) (#(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 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 x y x) 2)) (-.f64 y (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (+.f64 x y) (+.f64 x y))) (-.f64 (*.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (fma.f64 x y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (fma.f64 x y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (fma.f64 x y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (fma.f64 x y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 y (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (fma.f64 x y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x y x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y 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 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (+.f64 x y))))))

simplify38.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
191×fma-neg_binary64
161×fma-def_binary64
45×unsub-neg_binary64
44×cancel-sign-sub-inv_binary64
36×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023284
157284
2128280
3277280
4570280
5846280
6914280
7919280
Stop Event
1×saturated
Counts
126 → 92
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 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
x
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
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 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)))
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)))
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)))
x
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(*.f64 (+.f64 1 x) y)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))
(+.f64 x (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 x (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 x (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
Outputs
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(fma.f64 y x x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(fma.f64 y x x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(fma.f64 y x x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(fma.f64 y x x)
x
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
y
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 1 y) x y)
(fma.f64 y x (+.f64 y x))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 1 y) x y)
(fma.f64 y x (+.f64 y x))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 1 y) x y)
(fma.f64 y x (+.f64 y x))
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 1 y) x y)
(fma.f64 y x (+.f64 y x))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 1 y) x y)
(fma.f64 y x (+.f64 y x))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 1 y) x y)
(fma.f64 y x (+.f64 y x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(fma.f64 y x x)
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)))
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 1 y) x y)
(fma.f64 y x (+.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)))
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 1 y) x y)
(fma.f64 y x (+.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)))
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 1 y) x y)
(fma.f64 y x (+.f64 y x))
x
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 1 y) x y)
(fma.f64 y x (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 1 y) x y)
(fma.f64 y x (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 1 y) x y)
(fma.f64 y x (+.f64 y x))
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 1 y) x y)
(fma.f64 y x (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 1 y) x y)
(fma.f64 y x (+.f64 y x))
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 1 y) x y)
(fma.f64 y x (+.f64 y x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(+.f64 x (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 1 y) x y)
(fma.f64 y x (+.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 1 y) x y)
(fma.f64 y x (+.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 1 y) x y)
(fma.f64 y x (+.f64 y x))

eval18.0ms (0.7%)

Compiler

Compiled 1169 to 420 computations (64.1% saved)

prune14.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New87592
Fresh000
Picked011
Done000
Total87693
Error
0b
Counts
93 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶0b
(fma.f64 y x (+.f64 y x))
33.3b
y
▶25.3b
(+.f64 (*.f64 y x) y)
▶8.7b
(+.f64 x y)
✓0.0b
(+.f64 (+.f64 (*.f64 x y) x) y)
▶0.0b
(+.f64 (*.f64 (+.f64 y 1) x) y)
Compiler

Compiled 41 to 24 computations (41.5% saved)

localize5.0ms (0.2%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize5.0ms (0.2%)

Compiler

Compiled 12 to 4 computations (66.7% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 12 computations (40% saved)

series7.0ms (0.3%)

Counts
2 → 48
Calls

12 calls:

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

rewrite75.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
831×pow1_binary64
773×log1p-expm1-u_binary64
773×expm1-log1p-u_binary64
772×add-log-exp_binary64
757×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
115215
2210415
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 y 1) x) y)
(*.f64 (+.f64 y 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (+.f64 y 1) x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 y x)) 2) (fma.f64 (+.f64 y 1) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (+.f64 y 1) x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 y 1) x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 y 1) x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 y 1) x y)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1) x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1) x y)) 2) (cbrt.f64 (fma.f64 (+.f64 y 1) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 y 1) x y)) (sqrt.f64 (fma.f64 (+.f64 y 1) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y x)) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 y x)) 2) (*.f64 y (-.f64 y (+.f64 x (*.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x (*.f64 y x)) 2) (*.f64 y y)) (/.f64 1 (fma.f64 (+.f64 y 1) x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y x)) 2) (*.f64 y (-.f64 y (+.f64 x (*.f64 y x))))) (+.f64 (pow.f64 (+.f64 x (*.f64 y x)) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 y 1) x (neg.f64 y)) (-.f64 (pow.f64 (+.f64 x (*.f64 y x)) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y x)) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (+.f64 x (*.f64 y x)) 2) (*.f64 y (-.f64 y (+.f64 x (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y x)) 3) (pow.f64 y 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (+.f64 x (*.f64 y x)) 2) (*.f64 y (+.f64 x (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x (*.f64 y x)) 2) (*.f64 y y)) (fma.f64 (+.f64 y 1) x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y x)) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y x)) 2) (*.f64 y (-.f64 y (+.f64 x (*.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (*.f64 y x)) 2) (*.f64 y y))) (neg.f64 (fma.f64 (+.f64 y 1) x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (+.f64 x (*.f64 y x)) 2)) (-.f64 y (+.f64 x (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 y 1) x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 y 1) x y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1) x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 y 1) x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 y 1) x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 y 1) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 y 1) x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 y 1) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 y 1) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 y 1) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (+.f64 x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (*.f64 y x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y 1) x y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 y 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y x))) 2) (cbrt.f64 (+.f64 x (*.f64 y x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (+.f64 x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (*.f64 y x))) (sqrt.f64 (+.f64 x (*.f64 y x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 x (*.f64 y x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) x) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))))))

simplify50.0ms (2%)

Algorithm
1×egg-herbie
Rules
220×fma-neg_binary64
219×fma-def_binary64
46×distribute-rgt-in_binary64
39×cancel-sign-sub-inv_binary64
36×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018284
142284
295280
3200280
4385280
5752280
61072280
71087280
Stop Event
1×saturated
Counts
102 → 67
Calls
Call 1
Inputs
x
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(*.f64 (+.f64 1 x) y)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))
(+.f64 x (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 x (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 x (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
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 y) x)
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 (+.f64 1 y) x))
x
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) 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 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
Outputs
x
(+.f64 (*.f64 (+.f64 1 x) y) x)
(fma.f64 (+.f64 x 1) y x)
(+.f64 x (fma.f64 x y y))
(+.f64 (*.f64 (+.f64 1 x) y) x)
(fma.f64 (+.f64 x 1) y x)
(+.f64 x (fma.f64 x y y))
(+.f64 (*.f64 (+.f64 1 x) y) x)
(fma.f64 (+.f64 x 1) y x)
(+.f64 x (fma.f64 x y y))
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(fma.f64 (+.f64 x 1) y x)
(+.f64 x (fma.f64 x y y))
(+.f64 (*.f64 (+.f64 1 x) y) x)
(fma.f64 (+.f64 x 1) y x)
(+.f64 x (fma.f64 x y y))
(+.f64 (*.f64 (+.f64 1 x) y) x)
(fma.f64 (+.f64 x 1) y x)
(+.f64 x (fma.f64 x y y))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 (+.f64 x 1) y)
(fma.f64 x y y)
(+.f64 x (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(fma.f64 (+.f64 x 1) y x)
(+.f64 x (fma.f64 x y y))
(+.f64 x (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(fma.f64 (+.f64 x 1) y x)
(+.f64 x (fma.f64 x y y))
(+.f64 x (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)))
(fma.f64 (+.f64 x 1) y x)
(+.f64 x (fma.f64 x y y))
y
(+.f64 y (*.f64 (+.f64 1 y) x))
(fma.f64 (+.f64 x 1) y x)
(+.f64 x (fma.f64 x y y))
(+.f64 y (*.f64 (+.f64 1 y) x))
(fma.f64 (+.f64 x 1) y x)
(+.f64 x (fma.f64 x y y))
(+.f64 y (*.f64 (+.f64 1 y) x))
(fma.f64 (+.f64 x 1) y x)
(+.f64 x (fma.f64 x y y))
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 y (*.f64 (+.f64 1 y) x))
(fma.f64 (+.f64 x 1) y x)
(+.f64 x (fma.f64 x y y))
(+.f64 y (*.f64 (+.f64 1 y) x))
(fma.f64 (+.f64 x 1) y x)
(+.f64 x (fma.f64 x y y))
(+.f64 y (*.f64 (+.f64 1 y) x))
(fma.f64 (+.f64 x 1) y x)
(+.f64 x (fma.f64 x y y))
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 y (*.f64 (+.f64 1 y) x))
(fma.f64 (+.f64 x 1) y x)
(+.f64 x (fma.f64 x y y))
(+.f64 y (*.f64 (+.f64 1 y) x))
(fma.f64 (+.f64 x 1) y x)
(+.f64 x (fma.f64 x y y))
(+.f64 y (*.f64 (+.f64 1 y) x))
(fma.f64 (+.f64 x 1) y x)
(+.f64 x (fma.f64 x y y))
x
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)

localize11.0ms (0.4%)

Compiler

Compiled 13 to 4 computations (69.2% saved)

eval28.0ms (1.1%)

Compiler

Compiled 784 to 356 computations (54.6% saved)

prune23.0ms (0.9%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New64367
Fresh101
Picked011
Done044
Total65873
Error
0b
Counts
73 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓0b
(fma.f64 y x (+.f64 y x))
✓25.3b
(+.f64 (*.f64 y x) y)
✓8.7b
(+.f64 x y)
37.9b
x
✓0.0b
(+.f64 (+.f64 (*.f64 x y) x) y)
▶29.9b
(*.f64 (+.f64 1 y) x)
✓0.0b
(+.f64 (*.f64 (+.f64 y 1) x) y)
33.3b
y
Compiler

Compiled 51 to 31 computations (39.2% saved)

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series10.0ms (0.4%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
8.0ms
y
@-inf
(*.f64 (+.f64 1 y) x)
0.0ms
y
@0
(*.f64 (+.f64 1 y) x)
0.0ms
y
@inf
(*.f64 (+.f64 1 y) x)
0.0ms
x
@0
(*.f64 (+.f64 1 y) x)
0.0ms
x
@-inf
(*.f64 (+.f64 1 y) x)

rewrite64.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
604×pow1_binary64
560×add-log-exp_binary64
560×log1p-expm1-u_binary64
560×expm1-log1p-u_binary64
549×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11217
215207
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (+.f64 1 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) x) (+.f64 1 (-.f64 (*.f64 y y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (+.f64 1 (-.f64 (*.f64 y y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 y y))) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))))))

simplify18.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0554
11154
21654
32254
42854
54154
64554
74754
Stop Event
1×saturated
Counts
31 → 23
Calls
Call 1
Inputs
x
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
Outputs
x
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)

eval7.0ms (0.3%)

Compiler

Compiled 169 to 74 computations (56.2% saved)

prune12.0ms (0.5%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New20323
Fresh112
Picked011
Done145
Total22931
Error
0b
Counts
31 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶54.4b
(*.f64 y x)
33.3b
y
✓0b
(fma.f64 y x (+.f64 y x))
▶29.9b
(+.f64 (*.f64 y x) x)
37.9b
x
✓25.3b
(+.f64 (*.f64 y x) y)
✓8.7b
(+.f64 x y)
✓29.9b
(*.f64 (+.f64 1 y) x)
✓0.0b
(+.f64 (*.f64 (+.f64 y 1) x) y)
Compiler

Compiled 54 to 33 computations (38.9% saved)

localize6.0ms (0.3%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0.1%)

Counts
1 → 15
Calls

6 calls:

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

rewrite64.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
633×pow1_binary64
590×add-log-exp_binary64
589×log1p-expm1-u_binary64
589×expm1-log1p-u_binary64
577×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
11125
216105
Stop Event
1×node limit
Counts
1 → 40
Calls
Call 1
Inputs
(+.f64 (*.f64 y x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2) (cbrt.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x)))) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y x) x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (-.f64 (*.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) 2)) (-.f64 x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x)))))

simplify23.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
66×fma-def_binary64
53×fma-neg_binary64
20×unsub-neg_binary64
16×distribute-lft-in_binary64
16×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01293
12793
25869
313969
423669
533469
639469
Stop Event
1×saturated
Counts
55 → 45
Calls
Call 1
Inputs
x
(*.f64 y x)
(*.f64 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 y) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
Outputs
x
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)

eval17.0ms (0.7%)

Compiler

Compiled 468 to 182 computations (61.1% saved)

prune20.0ms (0.8%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New44145
Fresh112
Picked011
Done066
Total45954
Error
0b
Counts
54 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓54.4b
(*.f64 y x)
37.9b
x
33.3b
y
✓0b
(fma.f64 y x (+.f64 y x))
✓29.9b
(+.f64 (*.f64 y x) x)
✓25.3b
(+.f64 (*.f64 y x) y)
✓8.7b
(+.f64 x y)
✓29.9b
(*.f64 (+.f64 1 y) x)
✓0.0b
(+.f64 (*.f64 (+.f64 y 1) x) y)
Compiler

Compiled 54 to 33 computations (38.9% saved)

regimes55.0ms (2.2%)

Counts
13 → 1
Calls
Call 1
Inputs
x
x
x
y
y
(*.f64 y x)
(+.f64 x y)
(+.f64 (*.f64 y x) x)
(*.f64 (+.f64 1 y) x)
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 (+.f64 y 1) x) y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(fma.f64 y x (+.f64 y x))
Outputs
(fma.f64 y x (+.f64 y x))
Calls

3 calls:

18.0ms
(+.f64 (+.f64 (*.f64 x y) x) y)
16.0ms
y
16.0ms
x
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1(+.f64 (+.f64 (*.f64 x y) x) y)
Compiler

Compiled 63 to 27 computations (57.1% saved)

regimes44.0ms (1.7%)

Counts
12 → 1
Calls
Call 1
Inputs
x
x
x
y
y
(*.f64 y x)
(+.f64 x y)
(+.f64 (*.f64 y x) x)
(*.f64 (+.f64 1 y) x)
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 (+.f64 y 1) x) y)
(+.f64 (+.f64 (*.f64 x y) x) y)
Outputs
(+.f64 (*.f64 (+.f64 y 1) x) y)
Calls

3 calls:

16.0ms
(+.f64 (+.f64 (*.f64 x y) x) y)
15.0ms
y
8.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(+.f64 (+.f64 (*.f64 x y) x) y)
Compiler

Compiled 57 to 25 computations (56.1% saved)

regimes39.0ms (1.6%)

Counts
10 → 3
Calls
Call 1
Inputs
x
x
x
y
y
(*.f64 y x)
(+.f64 x y)
(+.f64 (*.f64 y x) x)
(*.f64 (+.f64 1 y) x)
(+.f64 (*.f64 y x) y)
Outputs
(+.f64 (*.f64 y x) x)
(+.f64 x y)
(+.f64 (*.f64 y x) y)
Calls

2 calls:

19.0ms
y
18.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
0.3b3y
Compiler

Compiled 34 to 13 computations (61.8% saved)

bsearch35.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
4.48726757577527e-13
0.00015119855769826104
17.0ms
-4.000993296654992e-12
-4.6529270910050755e-40
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes34.0ms (1.3%)

Counts
9 → 3
Calls
Call 1
Inputs
x
x
x
y
y
(*.f64 y x)
(+.f64 x y)
(+.f64 (*.f64 y x) x)
(*.f64 (+.f64 1 y) x)
Outputs
(*.f64 (+.f64 1 y) x)
(+.f64 x y)
(+.f64 (*.f64 y x) x)
Calls

2 calls:

20.0ms
x
12.0ms
y
Results
ErrorSegmentsBranch
0.8b3x
5.8b2y
Compiler

Compiled 29 to 12 computations (58.6% saved)

bsearch33.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
9.30757855203563e-11
30.005047279958905
17.0ms
-1.721179670456387
-0.006604921725952303
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes32.0ms (1.3%)

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

2 calls:

17.0ms
x
12.0ms
y
Results
ErrorSegmentsBranch
0.8b3x
5.8b2y
Compiler

Compiled 24 to 9 computations (62.5% saved)

bsearch35.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
9.30757855203563e-11
30.005047279958905
17.0ms
-1.721179670456387
-0.006604921725952303
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes23.0ms (0.9%)

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

2 calls:

12.0ms
y
9.0ms
x
Results
ErrorSegmentsBranch
6.7b2x
6.3b2y
Compiler

Compiled 19 to 8 computations (57.9% saved)

bsearch18.0ms (0.7%)

Algorithm
1×binary-search
Steps
TimeLeftRight
18.0ms
-207.0371675968868
-0.04661688673876113
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes40.0ms (1.6%)

Counts
6 → 3
Calls
Call 1
Inputs
x
x
x
y
y
(*.f64 y x)
Outputs
(*.f64 y x)
x
y
Calls

2 calls:

22.0ms
y
16.0ms
x
Results
ErrorSegmentsBranch
13.1b3x
13.1b3y
Compiler

Compiled 16 to 7 computations (56.3% saved)

bsearch34.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
1.3191362088722073e-115
3.2282580254435926e-106
16.0ms
-207.0371675968868
-0.04661688673876113
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes31.0ms (1.2%)

Counts
5 → 2
Calls
Call 1
Inputs
x
x
x
y
y
Outputs
x
y
Calls

2 calls:

15.0ms
y
14.0ms
x
Results
ErrorSegmentsBranch
15.1b2x
15.5b2y
Compiler

Compiled 13 to 6 computations (53.8% saved)

bsearch16.0ms (0.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
16.0ms
-1.3655412448310195e-86
-4.411100880439826e-96
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes12.0ms (0.5%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
3 → 1
Calls
Call 1
Inputs
x
x
x
Outputs
x
Calls

2 calls:

4.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
37.9b1x
37.9b1y
Compiler

Compiled 11 to 6 computations (45.5% saved)

simplify8.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
039149
149149
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 y x (+.f64 y x))
(+.f64 (*.f64 (+.f64 y 1) x) y)
(if (<=.f64 y -316991347125863936/79228162514264337593543950336) (+.f64 (*.f64 y x) x) (if (<=.f64 y 35551796473851204/79228162514264337593543950336) (+.f64 x y) (+.f64 (*.f64 y x) y)))
(if (<=.f64 x -3875752061252529/2251799813685248) (*.f64 (+.f64 1 y) x) (if (<=.f64 x 7374223461349600256/79228162514264337593543950336) (+.f64 x y) (+.f64 (*.f64 y x) x)))
(if (<=.f64 x -3875752061252529/2251799813685248) (+.f64 (*.f64 y x) x) (if (<=.f64 x 7374223461349600256/79228162514264337593543950336) (+.f64 x y) (+.f64 (*.f64 y x) x)))
(if (<=.f64 y -7284472740946737/35184372088832) (*.f64 y x) (+.f64 x y))
(if (<=.f64 y -7284472740946737/35184372088832) (*.f64 y x) (if (<=.f64 y 5852046382011831/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) x y))
(if (<=.f64 x -477884972396439/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) x y)
x
Outputs
(fma.f64 y x (+.f64 y x))
(+.f64 (*.f64 (+.f64 y 1) x) y)
(+.f64 y (*.f64 x (+.f64 y 1)))
(if (<=.f64 y -316991347125863936/79228162514264337593543950336) (+.f64 (*.f64 y x) x) (if (<=.f64 y 35551796473851204/79228162514264337593543950336) (+.f64 x y) (+.f64 (*.f64 y x) y)))
(if (<=.f64 y -619123724855203/154742504910672534362390528) (+.f64 x (*.f64 y x)) (if (<=.f64 y 8887949118462801/19807040628566084398385987584) (+.f64 y x) (+.f64 y (*.f64 y x))))
(if (<=.f64 x -3875752061252529/2251799813685248) (*.f64 (+.f64 1 y) x) (if (<=.f64 x 7374223461349600256/79228162514264337593543950336) (+.f64 x y) (+.f64 (*.f64 y x) x)))
(if (<=.f64 x -3875752061252529/2251799813685248) (*.f64 x (+.f64 y 1)) (if (<=.f64 x 7201390098974219/77371252455336267181195264) (+.f64 y x) (+.f64 x (*.f64 y x))))
(if (<=.f64 x -3875752061252529/2251799813685248) (+.f64 (*.f64 y x) x) (if (<=.f64 x 7374223461349600256/79228162514264337593543950336) (+.f64 x y) (+.f64 (*.f64 y x) x)))
(if (<=.f64 x -3875752061252529/2251799813685248) (+.f64 x (*.f64 y x)) (if (<=.f64 x 7201390098974219/77371252455336267181195264) (+.f64 y x) (+.f64 x (*.f64 y x))))
(if (<=.f64 y -7284472740946737/35184372088832) (*.f64 y x) (+.f64 x y))
(if (<=.f64 y -7284472740946737/35184372088832) (*.f64 y x) (+.f64 y x))
(if (<=.f64 y -7284472740946737/35184372088832) (*.f64 y x) (if (<=.f64 y 5852046382011831/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) x y))
(if (<=.f64 x -477884972396439/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) x y)
x
Compiler

Compiled 124 to 70 computations (43.5% saved)

soundness55.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
191×fma-neg_binary64
161×fma-def_binary64
45×unsub-neg_binary64
44×cancel-sign-sub-inv_binary64
36×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023284
157284
2128280
3277280
4570280
5846280
6914280
7919280
Stop Event
1×saturated
Compiler

Compiled 61 to 36 computations (41% saved)

end61.0ms (2.4%)

Remove

(sort x y)

Compiler

Compiled 124 to 52 computations (58.1% saved)

Profiling

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