Details

Time bar (total: 3.3s)

analyze99.0ms (3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.6%34.3%0.1%0%0%0%8
76.6%76.5%23.4%0.1%0%0%0%9
82%82%18%0.1%0%0%0%10
87.9%87.8%12.1%0.1%0%0%0%11
90.8%90.7%9.2%0.1%0%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample1.1s (34.7%)

Results
960.0ms7691×body256valid
68.0ms228×body1024valid
66.0ms181×body2048valid
31.0ms156×body512valid
Bogosity

preprocess77.0ms (2.3%)

Algorithm
2×egg-herbie
Rules
446×fma-neg_binary64
114×fma-def_binary64
90×cancel-sign-sub-inv_binary64
62×sub-neg_binary64
52×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
12020
24020
37420
415720
532620
662216
799216
8129016
9135016
10135416
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 y (/.f64 (-.f64 y x) 2))
Outputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(fma.f64 y -1/2 (*.f64 x 3/2))
(fma.f64 1/2 (-.f64 x y) x)
(fma.f64 (-.f64 x y) 1/2 x)
(+.f64 y (/.f64 (-.f64 y x) 2))
(+.f64 y (*.f64 -1/2 (-.f64 x y)))
(fma.f64 x -1/2 (*.f64 y 3/2))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify44.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
254×fma-neg_binary64
112×fma-def_binary64
91×cancel-sign-sub-inv_binary64
45×sub-neg_binary64
40×distribute-rgt-in_binary64
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
0710
11310
22410
34310
48710
517010
632410
75048
87488
99888
1010468
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))
Outputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(fma.f64 y -1/2 (*.f64 x 3/2))

eval1.0ms (0%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(fma.f64 y -1/2 (*.f64 x 3/2))
▶0.1b
(+.f64 x (/.f64 (-.f64 x y) 2))
Compiler

Compiled 17 to 12 computations (29.4% saved)

localize12.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (/.f64 (-.f64 x y) 2))
Compiler

Compiled 20 to 9 computations (55% saved)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 x (/.f64 (-.f64 x y) 2))
1.0ms
y
@-inf
(+.f64 x (/.f64 (-.f64 x y) 2))
1.0ms
x
@0
(+.f64 x (/.f64 (-.f64 x y) 2))
1.0ms
x
@-inf
(+.f64 x (/.f64 (-.f64 x y) 2))
1.0ms
y
@inf
(+.f64 x (/.f64 (-.f64 x y) 2))

rewrite94.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
550×unpow-prod-down_binary64
395×log-prod_binary64
344×fma-def_binary64
289×exp-prod_binary64
259×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11718
225568
Stop Event
1×node limit
Counts
1 → 74
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) (-.f64 (*.f64 y 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 x y) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 x (*.f64 (-.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 x 1/2)) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 x y) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (pow.f64 (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 x y) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 x y) 1/2 x) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 x y) 2) 1/4 (-.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 x y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 (-.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (*.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 x y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (neg.f64 (-.f64 (*.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x y) 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 x y) 1/2) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 x y) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (neg.f64 (-.f64 (*.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) 2) (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 x y)) -1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (-.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))))))

simplify18.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
15×fma-def_binary64
5×+-commutative_binary64
3×*-commutative_binary64
3×associate-+l+_binary64
2×associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014168
132168
246168
Stop Event
1×saturated
Counts
98 → 81
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 1/2 x) x)
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
Outputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 1/2 x) x)
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))

localize13.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 y -1/2 (*.f64 x 3/2))
Compiler

Compiled 15 to 10 computations (33.3% saved)

series5.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
(fma.f64 y -1/2 (*.f64 x 3/2))
1.0ms
y
@-inf
(fma.f64 y -1/2 (*.f64 x 3/2))
1.0ms
x
@0
(fma.f64 y -1/2 (*.f64 x 3/2))
1.0ms
x
@inf
(fma.f64 y -1/2 (*.f64 x 3/2))
1.0ms
x
@-inf
(fma.f64 y -1/2 (*.f64 x 3/2))

rewrite53.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
618×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
562×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11418
215308
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 y -1/2 (*.f64 x 3/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3/2) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/2) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y -1/2) 1) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y -1/2 (*.f64 x 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y -1/2 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2) (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y -1/2) 3) (pow.f64 (*.f64 x 3/2) 3)) (+.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (-.f64 (*.f64 9/4 (*.f64 x x)) (*.f64 (*.f64 y -1/2) (*.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))))))

simplify11.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
2×*-commutative_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08168
112168
215168
Stop Event
1×saturated
Counts
45 → 25
Calls
Call 1
Inputs
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
Outputs
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))

eval28.0ms (0.9%)

Compiler

Compiled 1382 to 816 computations (41% saved)

prune20.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1015106
Fresh000
Picked101
Done101
Total1035108
Error
0b
Counts
108 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
▶0b
(fma.f64 3/2 x (*.f64 -1/2 y))
▶32.5b
(*.f64 3/2 x)
▶30.4b
(*.f64 -1/2 y)
▶34.3b
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))
Compiler

Compiled 100 to 76 computations (24% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 3/2 x (*.f64 -1/2 y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(fma.f64 3/2 x (*.f64 -1/2 y))
0.0ms
x
@0
(fma.f64 3/2 x (*.f64 -1/2 y))
0.0ms
x
@-inf
(fma.f64 3/2 x (*.f64 -1/2 y))
0.0ms
y
@inf
(fma.f64 3/2 x (*.f64 -1/2 y))
0.0ms
y
@-inf
(fma.f64 3/2 x (*.f64 -1/2 y))

rewrite51.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
618×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
562×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11418
215318
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 3/2 x (*.f64 -1/2 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 y) (*.f64 3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/2 x) (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3/2 x) 1) (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 3/2 x (*.f64 -1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3/2 x (*.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) (pow.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 2) (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3/2 x) 3) (pow.f64 (*.f64 -1/2 y) 3)) (+.f64 (*.f64 (*.f64 3/2 x) (*.f64 3/2 x)) (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 (*.f64 3/2 x) (*.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 3/2 x) (*.f64 3/2 x)) (*.f64 (*.f64 y y) 1/4)) (-.f64 (*.f64 3/2 x) (*.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))))))

simplify11.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
2×*-commutative_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08168
112168
215168
Stop Event
1×saturated
Counts
45 → 24
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
Outputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
0.0ms
y
@0
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
0.0ms
y
@-inf
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
0.0ms
x
@inf
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
0.0ms
x
@-inf
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))

rewrite57.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
862×pow1_binary64
805×add-log-exp_binary64
805×log1p-expm1-u_binary64
805×expm1-log1p-u_binary64
790×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
11728
221858
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y -1/2 (*.f64 x 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 y y) 1/4) (+.f64 (*.f64 y -1/2) (*.f64 -3/2 x))) (/.f64 (*.f64 (*.f64 x x) 9/4) (+.f64 (*.f64 y -1/2) (*.f64 -3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y -1/2 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2) (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/8) (*.f64 (pow.f64 x 3) 27/8)) (/.f64 1 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 (*.f64 x 3/2) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 (*.f64 x x) 9/4)) (/.f64 1 (+.f64 (*.f64 y -1/2) (*.f64 -3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 (*.f64 x 3/2) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2)))) (+.f64 (*.f64 (pow.f64 y 3) -1/8) (*.f64 (pow.f64 x 3) 27/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 y -1/2) (*.f64 -3/2 x)) (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 (*.f64 x x) 9/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/8) (*.f64 (pow.f64 x 3) 27/8)) (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 (*.f64 x 3/2) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/8) (*.f64 (pow.f64 x 3) 27/8)) (+.f64 (*.f64 (*.f64 x x) 9/4) (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 (*.f64 y -1/2) (*.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 (*.f64 x x) 9/4)) (+.f64 (*.f64 y -1/2) (*.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/8) (*.f64 (pow.f64 x 3) 27/8))) (neg.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 (*.f64 x 3/2) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 (*.f64 x x) 9/4))) (neg.f64 (+.f64 (*.f64 y -1/2) (*.f64 -3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 9/4) (*.f64 (*.f64 y y) 1/4)) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1/2 (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 y (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3/2 (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/2 x (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y -1/2) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 3/2) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 2) (cbrt.f64 (*.f64 x 3/2)) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/2)) 2) (cbrt.f64 (*.f64 y -1/2)) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3/2)) (sqrt.f64 (*.f64 x 3/2)) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y -1/2)) (sqrt.f64 (*.f64 y -1/2)) (*.f64 x 3/2))))))

simplify11.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
2×*-commutative_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08168
112168
215168
Stop Event
1×saturated
Counts
61 → 41
Calls
Call 1
Inputs
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
Outputs
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))

localize25.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 y -1/2) (*.f64 x 3/2))
✓0.1b
(*.f64 9/4 (*.f64 x x))
✓4.3b
(-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x)))
✓32.1b
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))
Compiler

Compiled 69 to 44 computations (36.2% saved)

series10.0ms (0.3%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))
1.0ms
y
@0
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))
1.0ms
y
@inf
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))
1.0ms
y
@-inf
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))

rewrite110.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
849×log-prod_binary64
463×fma-neg_binary64
275×expm1-udef_binary64
275×log1p-udef_binary64
218×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01461
134137
2497037
Stop Event
1×node limit
Counts
4 → 279
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))
(-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x)))
(*.f64 9/4 (*.f64 x x))
(-.f64 (*.f64 y -1/2) (*.f64 x 3/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/2) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3/2) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (/.f64 (fma.f64 y -1/2 (*.f64 x -3/2)) (*.f64 1/4 y))) (neg.f64 (*.f64 9/4 (/.f64 (*.f64 x x) (fma.f64 y -1/2 (*.f64 x -3/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y -1/2 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))) (cbrt.f64 (exp.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (/.f64 (fma.f64 y -1/2 (*.f64 x -3/2)) (*.f64 1/4 y))) (*.f64 9/4 (/.f64 (*.f64 x x) (fma.f64 y -1/2 (*.f64 x -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (*.f64 1/4 y) (*.f64 (*.f64 -9/4 x) x)) (/.f64 1 (fma.f64 y -1/2 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y -1/2 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2) (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 y (*.f64 1/4 y) (*.f64 (*.f64 -9/4 x) x)) 2)) (*.f64 (cbrt.f64 (fma.f64 y (*.f64 1/4 y) (*.f64 (*.f64 -9/4 x) x))) (/.f64 1 (fma.f64 y -1/2 (*.f64 x -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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y -1/2)) 2)) (*.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 y -1/2) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/2)) 2)) (neg.f64 (-.f64 (*.f64 x 3/2) (fma.f64 -3/2 x (*.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (*.f64 y -1/2))) (sqrt.f64 -1/2) (*.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (*.f64 y -1/2))) (sqrt.f64 -1/2) (neg.f64 (-.f64 (*.f64 x 3/2) (fma.f64 -3/2 x (*.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 (-.f64 (*.f64 x 3/2) (fma.f64 -3/2 x (*.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (*.f64 x 3/2) (fma.f64 -3/2 x (*.f64 x 3/2)))))))))

simplify211.0ms (6.4%)

Algorithm
1×egg-herbie
Rules
1046×sqr-pow_binary64
746×fabs-mul_binary64
706×cube-prod_binary64
484×unswap-sqr_binary64
364×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021714
141714
271714
3137714
4332714
51034714
61450714
72259714
82436714
92696714
103007714
113472714
124078714
134787714
145664714
156352714
166812714
177248714
187408714
197478714
Stop Event
1×node limit
Counts
363 → 295
Calls
Call 1
Inputs
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -9/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(*.f64 1/4 (pow.f64 y 2))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(*.f64 1/4 (pow.f64 y 2))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(*.f64 1/4 (pow.f64 y 2))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(*.f64 -9/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(*.f64 -9/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 -3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(*.f64 -3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(*.f64 -3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
Outputs
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 -9/4 (*.f64 x x))
(*.f64 x (*.f64 x -9/4))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(fma.f64 1/4 (*.f64 y y) (*.f64 -9/4 (*.f64 x x)))
(fma.f64 -9/4 (*.f64 x x) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 y (*.f64 y 1/4)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(fma.f64 1/4 (*.f64 y y) (*.f64 -9/4 (*.f64 x x)))
(fma.f64 -9/4 (*.f64 x x) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 y (*.f64 y 1/4)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(fma.f64 1/4 (*.f64 y y) (*.f64 -9/4 (*.f64 x x)))
(fma.f64 -9/4 (*.f64 x x) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 y (*.f64 y 1/4)))
(*.f64 1/4 (pow.f64 y 2))
(*.f64 1/4 (*.f64 y y))
(*.f64 y (*.f64 y 1/4))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(fma.f64 1/4 (*.f64 y y) (*.f64 -9/4 (*.f64 x x)))
(fma.f64 -9/4 (*.f64 x x) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 y (*.f64 y 1/4)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(fma.f64 1/4 (*.f64 y y) (*.f64 -9/4 (*.f64 x x)))
(fma.f64 -9/4 (*.f64 x x) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 y (*.f64 y 1/4)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(fma.f64 1/4 (*.f64 y y) (*.f64 -9/4 (*.f64 x x)))
(fma.f64 -9/4 (*.f64 x x) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 y (*.f64 y 1/4)))
(*.f64 1/4 (pow.f64 y 2))
(*.f64 1/4 (*.f64 y y))
(*.f64 y (*.f64 y 1/4))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(fma.f64 1/4 (*.f64 y y) (*.f64 -9/4 (*.f64 x x)))
(fma.f64 -9/4 (*.f64 x x) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 y (*.f64 y 1/4)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(fma.f64 1/4 (*.f64 y y) (*.f64 -9/4 (*.f64 x x)))
(fma.f64 -9/4 (*.f64 x x) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 y (*.f64 y 1/4)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(fma.f64 1/4 (*.f64 y y) (*.f64 -9/4 (*.f64 x x)))
(fma.f64 -9/4 (*.f64 x x) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 y (*.f64 y 1/4)))
(*.f64 1/4 (pow.f64 y 2))
(*.f64 1/4 (*.f64 y y))
(*.f64 y (*.f64 y 1/4))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(fma.f64 1/4 (*.f64 y y) (*.f64 -9/4 (*.f64 x x)))
(fma.f64 -9/4 (*.f64 x x) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 y (*.f64 y 1/4)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(fma.f64 1/4 (*.f64 y y) (*.f64 -9/4 (*.f64 x x)))
(fma.f64 -9/4 (*.f64 x x) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 y (*.f64 y 1/4)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(fma.f64 1/4 (*.f64 y y) (*.f64 -9/4 (*.f64 x x)))
(fma.f64 -9/4 (*.f64 x x) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 y (*.f64 y 1/4)))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 -9/4 (*.f64 x x))
(*.f64 x (*.f64 x -9/4))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(fma.f64 1/4 (*.f64 y y) (*.f64 -9/4 (*.f64 x x)))
(fma.f64 -9/4 (*.f64 x x) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 y (*.f64 y 1/4)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(fma.f64 1/4 (*.f64 y y) (*.f64 -9/4 (*.f64 x x)))
(fma.f64 -9/4 (*.f64 x x) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 y (*.f64 y 1/4)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(fma.f64 1/4 (*.f64 y y) (*.f64 -9/4 (*.f64 x x)))
(fma.f64 -9/4 (*.f64 x x) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 y (*.f64 y 1/4)))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 -9/4 (*.f64 x x))
(*.f64 x (*.f64 x -9/4))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(fma.f64 1/4 (*.f64 y y) (*.f64 -9/4 (*.f64 x x)))
(fma.f64 -9/4 (*.f64 x x) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 y (*.f64 y 1/4)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(fma.f64 1/4 (*.f64 y y) (*.f64 -9/4 (*.f64 x x)))
(fma.f64 -9/4 (*.f64 x x) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 y (*.f64 y 1/4)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 -9/4 (pow.f64 x 2)))
(fma.f64 1/4 (*.f64 y y) (*.f64 -9/4 (*.f64 x x)))
(fma.f64 -9/4 (*.f64 x x) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 1/4 (*.f64 y y)))
(fma.f64 x (*.f64 x -9/4) (*.f64 y (*.f64 y 1/4)))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9/4)
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9/4)
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9/4)
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9/4)
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9/4)
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9/4)
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9/4)
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9/4)
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9/4)
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9/4)
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9/4)
(*.f64 x (*.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) 9/4)
(*.f64 x (*.f64 x 9/4))
(*.f64 -3/2 x)
(*.f64 x -3/2)
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(fma.f64 -1/2 y (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(fma.f64 -1/2 y (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(fma.f64 -1/2 y (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(fma.f64 -1/2 y (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(fma.f64 -1/2 y (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(fma.f64 -1/2 y (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(fma.f64 -1/2 y (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(fma.f64 -1/2 y (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(fma.f64 -1/2 y (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(fma.f64 -1/2 y (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(fma.f64 -1/2 y (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(fma.f64 -1/2 y (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(*.f64 -3/2 x)
(*.f64 x -3/2)
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(fma.f64 -1/2 y (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(fma.f64 -1/2 y (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(fma.f64 -1/2 y (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(*.f64 -3/2 x)
(*.f64 x -3/2)
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(fma.f64 -1/2 y (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(fma.f64 -1/2 y (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 -3/2 x))
(fma.f64 -1/2 y (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))

eval190.0ms (5.7%)

Compiler

Compiled 8641 to 6044 computations (30.1% saved)

prune55.0ms (1.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3582360
Fresh000
Picked101
Done044
Total3596365
Error
0b
Counts
365 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶48.6b
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (*.f64 x -3/2))
✓0.1b
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
▶48.3b
(/.f64 (*.f64 x (*.f64 x -9/4)) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))
✓0b
(fma.f64 3/2 x (*.f64 -1/2 y))
✓32.5b
(*.f64 3/2 x)
✓30.4b
(*.f64 -1/2 y)
Compiler

Compiled 61 to 46 computations (24.6% saved)

localize16.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 y -1/2) (*.f64 x 3/2))
✓0.1b
(*.f64 x (*.f64 x -9/4))
✓18.8b
(/.f64 (*.f64 x (*.f64 x -9/4)) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))
Compiler

Compiled 41 to 28 computations (31.7% saved)

series6.0ms (0.2%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 (*.f64 x (*.f64 x -9/4)) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))
1.0ms
y
@inf
(/.f64 (*.f64 x (*.f64 x -9/4)) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))
1.0ms
x
@inf
(/.f64 (*.f64 x (*.f64 x -9/4)) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))
1.0ms
y
@-inf
(/.f64 (*.f64 x (*.f64 x -9/4)) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))
0.0ms
x
@inf
(*.f64 x (*.f64 x -9/4))

rewrite73.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
699×log-prod_binary64
394×fma-def_binary64
340×pow2_binary64
238×pow1/3_binary64
236×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01226
127424
2370324
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(/.f64 (*.f64 x (*.f64 x -9/4)) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))
(*.f64 x (*.f64 x -9/4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (fma.f64 y -1/2 (*.f64 x -3/2))) (*.f64 x -9/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (fma.f64 y -1/2 (*.f64 x -3/2))) (*.f64 x -9/4)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (fma.f64 y -1/2 (*.f64 x -3/2))) (*.f64 x -9/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (fma.f64 y -1/2 (*.f64 x -3/2))) (*.f64 x -9/4))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (fma.f64 y -1/2 (*.f64 x -3/2))) (*.f64 x -9/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (fma.f64 y -1/2 (*.f64 x -3/2))) (*.f64 x -9/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 -4/9 (/.f64 (fma.f64 y -1/2 (*.f64 x -3/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x -9/4) (/.f64 1 (fma.f64 y -1/2 (*.f64 x -3/2)))))))) 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x -9/4)) (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 (*.f64 x x) 9/4))) (fma.f64 y -1/2 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (fma.f64 y -1/2 (*.f64 x -3/2))) (*.f64 x -9/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y -1/2 (*.f64 x -3/2))) (*.f64 x -9/4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y -1/2 (*.f64 x -3/2))) (*.f64 x -9/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 y -1/2 (*.f64 x -3/2))) (*.f64 x -9/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (sqrt.f64 -9/4)) (sqrt.f64 (fma.f64 y -1/2 (*.f64 x -3/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y -1/2 (*.f64 x -3/2)) (*.f64 x (*.f64 x -9/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x -9/4)) 3) (pow.f64 (fma.f64 y -1/2 (*.f64 x -3/2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 y -1/2 (*.f64 x -3/2)) (*.f64 x (*.f64 x -9/4))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x -9/4)) (neg.f64 (fma.f64 y -1/2 (*.f64 x -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y -1/2 (*.f64 x -3/2))) (*.f64 x -9/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x (fma.f64 y -1/2 (*.f64 x -3/2))) (*.f64 x -9/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (fma.f64 y -1/2 (*.f64 x -3/2))) (*.f64 x -9/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y -1/2 (*.f64 x -3/2))) (*.f64 x -9/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x -9/4)) 3) (pow.f64 (fma.f64 y -1/2 (*.f64 x -3/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x (fma.f64 y -1/2 (*.f64 x -3/2))) (*.f64 x -9/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x (fma.f64 y -1/2 (*.f64 x -3/2))) (*.f64 x -9/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 y -1/2 (*.f64 x -3/2))) (*.f64 x -9/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 y -1/2 (*.f64 x -3/2))) (*.f64 x -9/4))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x -9/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -9/4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -9/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -9/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -9/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -9/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -9/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/16) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -9/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -9/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -9/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x -9/4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x -9/4) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -9/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -9/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -9/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x -9/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x -9/4) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -9/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -9/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -9/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -9/4))) 1))))))

simplify75.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
608×distribute-lft-out_binary64
566×fma-def_binary64
556×associate-/r*_binary64
464×distribute-rgt-out_binary64
443×associate-*r*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
049621
1127621
2341621
31178573
45742546
56904543
Stop Event
1×node limit
Counts
112 → 94
Calls
Call 1
Inputs
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (*.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x)))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 3/2 x) (*.f64 -1/18 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x)))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 3/2 x) (*.f64 -1/18 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x)))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 3/2 x) (*.f64 -1/18 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (*.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (*.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 -9/4 (pow.f64 x 2))
Outputs
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(*.f64 9/2 (/.f64 (*.f64 x x) y))
(*.f64 9/2 (*.f64 (/.f64 x y) x))
(*.f64 9/2 (/.f64 x (/.f64 y x)))
(+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 9/2 (/.f64 (*.f64 x x) y)))
(fma.f64 9/2 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 -27/2 y) (/.f64 (pow.f64 x 3) y)))
(fma.f64 9/2 (*.f64 (/.f64 x y) x) (*.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 9/2 (*.f64 -27/2 (/.f64 x y))))
(+.f64 (*.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 9/2 (/.f64 (*.f64 x x) y))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 9/2 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 -27/2 y) (/.f64 (pow.f64 x 3) y))))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 9/2 (*.f64 (/.f64 x y) x) (*.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 9/2 (*.f64 -27/2 (/.f64 x y)))))
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 9/2 (*.f64 (/.f64 x y) (+.f64 -27/2 (*.f64 81/2 (/.f64 x y))))))
(+.f64 (*.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 9/2 (/.f64 (*.f64 x x) y)))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 9/2 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -243/2 (pow.f64 x 5)) (pow.f64 y 4)))))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 9/2 (*.f64 (/.f64 x y) x) (*.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 9/2 (*.f64 -27/2 (/.f64 x y))))))
(fma.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 9/2 (*.f64 (/.f64 x y) (+.f64 -27/2 (*.f64 81/2 (/.f64 x y)))))))
(*.f64 3/2 x)
(*.f64 x 3/2)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 y -1/2 (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x)))
(fma.f64 -1/2 y (fma.f64 1/6 (/.f64 (*.f64 y y) x) (*.f64 x 3/2)))
(fma.f64 y -1/2 (fma.f64 1/6 (/.f64 (*.f64 y y) x) (*.f64 x 3/2)))
(fma.f64 x 3/2 (fma.f64 y -1/2 (/.f64 (*.f64 y (*.f64 y 1/6)) x)))
(fma.f64 x 3/2 (fma.f64 1/6 (*.f64 y (/.f64 y x)) (*.f64 y -1/2)))
(fma.f64 x 3/2 (*.f64 y (+.f64 -1/2 (/.f64 1/6 (/.f64 x y)))))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 3/2 x) (*.f64 -1/18 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(fma.f64 -1/2 y (fma.f64 1/6 (/.f64 (*.f64 y y) x) (fma.f64 3/2 x (*.f64 -1/18 (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(fma.f64 y -1/2 (fma.f64 1/6 (/.f64 (*.f64 y y) x) (fma.f64 x 3/2 (*.f64 (/.f64 -1/18 x) (/.f64 (pow.f64 y 3) x)))))
(fma.f64 y -1/2 (fma.f64 (/.f64 -1/18 x) (/.f64 (pow.f64 y 3) x) (fma.f64 x 3/2 (/.f64 (*.f64 y (*.f64 y 1/6)) x))))
(fma.f64 x 3/2 (fma.f64 y -1/2 (*.f64 (*.f64 y (/.f64 y x)) (+.f64 1/6 (*.f64 -1/18 (/.f64 y x))))))
(fma.f64 x 3/2 (*.f64 y (+.f64 -1/2 (*.f64 (/.f64 y x) (+.f64 1/6 (*.f64 -1/18 (/.f64 y x)))))))
(*.f64 3/2 x)
(*.f64 x 3/2)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 y -1/2 (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x)))
(fma.f64 -1/2 y (fma.f64 1/6 (/.f64 (*.f64 y y) x) (*.f64 x 3/2)))
(fma.f64 y -1/2 (fma.f64 1/6 (/.f64 (*.f64 y y) x) (*.f64 x 3/2)))
(fma.f64 x 3/2 (fma.f64 y -1/2 (/.f64 (*.f64 y (*.f64 y 1/6)) x)))
(fma.f64 x 3/2 (fma.f64 1/6 (*.f64 y (/.f64 y x)) (*.f64 y -1/2)))
(fma.f64 x 3/2 (*.f64 y (+.f64 -1/2 (/.f64 1/6 (/.f64 x y)))))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 3/2 x) (*.f64 -1/18 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(fma.f64 -1/2 y (fma.f64 1/6 (/.f64 (*.f64 y y) x) (fma.f64 3/2 x (*.f64 -1/18 (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(fma.f64 y -1/2 (fma.f64 1/6 (/.f64 (*.f64 y y) x) (fma.f64 x 3/2 (*.f64 (/.f64 -1/18 x) (/.f64 (pow.f64 y 3) x)))))
(fma.f64 y -1/2 (fma.f64 (/.f64 -1/18 x) (/.f64 (pow.f64 y 3) x) (fma.f64 x 3/2 (/.f64 (*.f64 y (*.f64 y 1/6)) x))))
(fma.f64 x 3/2 (fma.f64 y -1/2 (*.f64 (*.f64 y (/.f64 y x)) (+.f64 1/6 (*.f64 -1/18 (/.f64 y x))))))
(fma.f64 x 3/2 (*.f64 y (+.f64 -1/2 (*.f64 (/.f64 y x) (+.f64 1/6 (*.f64 -1/18 (/.f64 y x)))))))
(*.f64 3/2 x)
(*.f64 x 3/2)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 y -1/2 (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x)))
(fma.f64 -1/2 y (fma.f64 1/6 (/.f64 (*.f64 y y) x) (*.f64 x 3/2)))
(fma.f64 y -1/2 (fma.f64 1/6 (/.f64 (*.f64 y y) x) (*.f64 x 3/2)))
(fma.f64 x 3/2 (fma.f64 y -1/2 (/.f64 (*.f64 y (*.f64 y 1/6)) x)))
(fma.f64 x 3/2 (fma.f64 1/6 (*.f64 y (/.f64 y x)) (*.f64 y -1/2)))
(fma.f64 x 3/2 (*.f64 y (+.f64 -1/2 (/.f64 1/6 (/.f64 x y)))))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 3/2 x) (*.f64 -1/18 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(fma.f64 -1/2 y (fma.f64 1/6 (/.f64 (*.f64 y y) x) (fma.f64 3/2 x (*.f64 -1/18 (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(fma.f64 y -1/2 (fma.f64 1/6 (/.f64 (*.f64 y y) x) (fma.f64 x 3/2 (*.f64 (/.f64 -1/18 x) (/.f64 (pow.f64 y 3) x)))))
(fma.f64 y -1/2 (fma.f64 (/.f64 -1/18 x) (/.f64 (pow.f64 y 3) x) (fma.f64 x 3/2 (/.f64 (*.f64 y (*.f64 y 1/6)) x))))
(fma.f64 x 3/2 (fma.f64 y -1/2 (*.f64 (*.f64 y (/.f64 y x)) (+.f64 1/6 (*.f64 -1/18 (/.f64 y x))))))
(fma.f64 x 3/2 (*.f64 y (+.f64 -1/2 (*.f64 (/.f64 y x) (+.f64 1/6 (*.f64 -1/18 (/.f64 y x)))))))
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(*.f64 9/2 (/.f64 (*.f64 x x) y))
(*.f64 9/2 (*.f64 (/.f64 x y) x))
(*.f64 9/2 (/.f64 x (/.f64 y x)))
(+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 9/2 (/.f64 (*.f64 x x) y)))
(fma.f64 9/2 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 -27/2 y) (/.f64 (pow.f64 x 3) y)))
(fma.f64 9/2 (*.f64 (/.f64 x y) x) (*.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 9/2 (*.f64 -27/2 (/.f64 x y))))
(+.f64 (*.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 9/2 (/.f64 (*.f64 x x) y))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 9/2 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 -27/2 y) (/.f64 (pow.f64 x 3) y))))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 9/2 (*.f64 (/.f64 x y) x) (*.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 9/2 (*.f64 -27/2 (/.f64 x y)))))
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 9/2 (*.f64 (/.f64 x y) (+.f64 -27/2 (*.f64 81/2 (/.f64 x y))))))
(+.f64 (*.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 9/2 (/.f64 (*.f64 x x) y)))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 9/2 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -243/2 (pow.f64 x 5)) (pow.f64 y 4)))))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 9/2 (*.f64 (/.f64 x y) x) (*.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 9/2 (*.f64 -27/2 (/.f64 x y))))))
(fma.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 9/2 (*.f64 (/.f64 x y) (+.f64 -27/2 (*.f64 81/2 (/.f64 x y)))))))
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(*.f64 9/2 (/.f64 (*.f64 x x) y))
(*.f64 9/2 (*.f64 (/.f64 x y) x))
(*.f64 9/2 (/.f64 x (/.f64 y x)))
(+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 9/2 (/.f64 (*.f64 x x) y)))
(fma.f64 9/2 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 -27/2 y) (/.f64 (pow.f64 x 3) y)))
(fma.f64 9/2 (*.f64 (/.f64 x y) x) (*.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y))))
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 9/2 (*.f64 -27/2 (/.f64 x y))))
(+.f64 (*.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 9/2 (/.f64 (*.f64 x x) y))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 9/2 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 -27/2 y) (/.f64 (pow.f64 x 3) y))))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 9/2 (*.f64 (/.f64 x y) x) (*.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 9/2 (*.f64 -27/2 (/.f64 x y)))))
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 9/2 (*.f64 (/.f64 x y) (+.f64 -27/2 (*.f64 81/2 (/.f64 x y))))))
(+.f64 (*.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 9/2 (/.f64 (*.f64 x x) y)))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 9/2 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -243/2 (pow.f64 x 5)) (pow.f64 y 4)))))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 9/2 (*.f64 (/.f64 x y) x) (*.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 9/2 (*.f64 -27/2 (/.f64 x y))))))
(fma.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 9/2 (*.f64 (/.f64 x y) (+.f64 -27/2 (*.f64 81/2 (/.f64 x y)))))))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -9/4)
(*.f64 x (*.f64 x -9/4))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -9/4)
(*.f64 x (*.f64 x -9/4))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -9/4)
(*.f64 x (*.f64 x -9/4))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -9/4)
(*.f64 x (*.f64 x -9/4))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -9/4)
(*.f64 x (*.f64 x -9/4))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -9/4)
(*.f64 x (*.f64 x -9/4))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -9/4)
(*.f64 x (*.f64 x -9/4))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -9/4)
(*.f64 x (*.f64 x -9/4))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -9/4)
(*.f64 x (*.f64 x -9/4))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -9/4)
(*.f64 x (*.f64 x -9/4))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -9/4)
(*.f64 x (*.f64 x -9/4))
(*.f64 -9/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -9/4)
(*.f64 x (*.f64 x -9/4))

localize22.0ms (0.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 9/4 (*.f64 x x))
4.3b
(-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x)))
✓19.4b
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (*.f64 x -3/2))
Compiler

Compiled 58 to 36 computations (37.9% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (*.f64 x -3/2))
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (*.f64 x -3/2))
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (*.f64 x -3/2))
1.0ms
y
@inf
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (*.f64 x -3/2))
0.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (*.f64 x -3/2))

rewrite75.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
774×log-prod_binary64
458×fma-def_binary64
263×fma-neg_binary64
235×expm1-udef_binary64
235×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01322
130220
2441019
Stop Event
1×node limit
Counts
1 → 81
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (*.f64 x -3/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 y y) x) -1/6) (neg.f64 (*.f64 -3/2 (/.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (hypot.f64 (*.f64 y -1/2) (*.f64 x -3/2)) 2) (/.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 (*.f64 y -1/2) (*.f64 x -3/2)) 2)) (/.f64 -2/3 x))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 (*.f64 y -1/2) (*.f64 x -3/2)) 2)) (/.f64 -2/3 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 (*.f64 y -1/2) (*.f64 x -3/2)) 2)) (/.f64 -2/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 (*.f64 y -1/2) (*.f64 x -3/2)) 2)) (/.f64 -2/3 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 (*.f64 y -1/2) (*.f64 x -3/2)) 2)) (/.f64 -2/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (*.f64 y y) x) -1/6) (*.f64 -3/2 (/.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 (*.f64 y -1/2) (*.f64 x -3/2)) 2) (/.f64 -2/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 (*.f64 y -1/2) (*.f64 x -3/2)) 2) (/.f64 -2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 (*.f64 y -1/2) (*.f64 x -3/2)) 2) (/.f64 -2/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (hypot.f64 (*.f64 y -1/2) (*.f64 x -3/2)) 2) (/.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 (*.f64 y -1/2) (*.f64 x -3/2)) 2) (/.f64 -2/3 x))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 (*.f64 y -1/2) (*.f64 x -3/2)) 2) (/.f64 -2/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 (*.f64 y -1/2) (*.f64 x -3/2)) 2) (/.f64 -2/3 x))) 2) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 (*.f64 y -1/2) (*.f64 x 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x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 y -1/2) (sqrt.f64 (*.f64 x -3/2))) (/.f64 (*.f64 y -1/2) (sqrt.f64 (*.f64 x -3/2))) (neg.f64 (*.f64 -3/2 (/.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 y y) (sqrt.f64 (*.f64 x -3/2))) (/.f64 1/4 (sqrt.f64 (*.f64 x -3/2))) (neg.f64 (*.f64 -3/2 (/.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y -1/2) 4)) (sqrt.f64 (*.f64 x -3/2))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/2)) 2) (sqrt.f64 (*.f64 x -3/2))) (neg.f64 (*.f64 -3/2 (/.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 y (*.f64 y -1/2)) (sqrt.f64 (*.f64 x -3/2))) (/.f64 -1/2 (sqrt.f64 (*.f64 x -3/2))) (neg.f64 (*.f64 -3/2 (/.f64 (*.f64 x x) x))))))))

simplify134.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
725×associate-/l/_binary64
518×associate-*l*_binary64
491×*-commutative_binary64
470×sqr-pow_binary64
454×associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011294
122294
240294
371294
4176294
5615294
62666294
73803294
84013294
94232294
104460294
114800294
126392294
137065294
147862294
Stop Event
1×node limit
Counts
105 → 86
Calls
Call 1
Inputs
(*.f64 3/2 x)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(*.f64 -1/6 (/.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(*.f64 -1/6 (/.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(*.f64 -1/6 (/.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
Outputs
(*.f64 3/2 x)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 (/.f64 y x) y)))
(fma.f64 3/2 x (*.f64 -1/6 (/.f64 (*.f64 y y) x)))
(fma.f64 3/2 x (*.f64 (*.f64 y y) (/.f64 -1/6 x)))
(fma.f64 3/2 x (*.f64 (*.f64 -1/6 y) (/.f64 y x)))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 y (/.f64 y x))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 (/.f64 y x) y)))
(fma.f64 3/2 x (*.f64 -1/6 (/.f64 (*.f64 y y) x)))
(fma.f64 3/2 x (*.f64 (*.f64 y y) (/.f64 -1/6 x)))
(fma.f64 3/2 x (*.f64 (*.f64 -1/6 y) (/.f64 y x)))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 y (/.f64 y x))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 (/.f64 y x) y)))
(fma.f64 3/2 x (*.f64 -1/6 (/.f64 (*.f64 y y) x)))
(fma.f64 3/2 x (*.f64 (*.f64 y y) (/.f64 -1/6 x)))
(fma.f64 3/2 x (*.f64 (*.f64 -1/6 y) (/.f64 y x)))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 y (/.f64 y x))))
(*.f64 -1/6 (/.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (/.f64 (*.f64 y y) x))
(*.f64 -1/6 (/.f64 y (/.f64 x y)))
(*.f64 -1/6 (*.f64 (/.f64 y x) y))
(*.f64 (*.f64 y y) (/.f64 -1/6 x))
(*.f64 (*.f64 -1/6 y) (/.f64 y x))
(*.f64 -1/6 (*.f64 y (/.f64 y x)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 (/.f64 y x) y)))
(fma.f64 3/2 x (*.f64 -1/6 (/.f64 (*.f64 y y) x)))
(fma.f64 3/2 x (*.f64 (*.f64 y y) (/.f64 -1/6 x)))
(fma.f64 3/2 x (*.f64 (*.f64 -1/6 y) (/.f64 y x)))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 y (/.f64 y x))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 (/.f64 y x) y)))
(fma.f64 3/2 x (*.f64 -1/6 (/.f64 (*.f64 y y) x)))
(fma.f64 3/2 x (*.f64 (*.f64 y y) (/.f64 -1/6 x)))
(fma.f64 3/2 x (*.f64 (*.f64 -1/6 y) (/.f64 y x)))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 y (/.f64 y x))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 (/.f64 y x) y)))
(fma.f64 3/2 x (*.f64 -1/6 (/.f64 (*.f64 y y) x)))
(fma.f64 3/2 x (*.f64 (*.f64 y y) (/.f64 -1/6 x)))
(fma.f64 3/2 x (*.f64 (*.f64 -1/6 y) (/.f64 y x)))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 y (/.f64 y x))))
(*.f64 -1/6 (/.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (/.f64 (*.f64 y y) x))
(*.f64 -1/6 (/.f64 y (/.f64 x y)))
(*.f64 -1/6 (*.f64 (/.f64 y x) y))
(*.f64 (*.f64 y y) (/.f64 -1/6 x))
(*.f64 (*.f64 -1/6 y) (/.f64 y x))
(*.f64 -1/6 (*.f64 y (/.f64 y x)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 (/.f64 y x) y)))
(fma.f64 3/2 x (*.f64 -1/6 (/.f64 (*.f64 y y) x)))
(fma.f64 3/2 x (*.f64 (*.f64 y y) (/.f64 -1/6 x)))
(fma.f64 3/2 x (*.f64 (*.f64 -1/6 y) (/.f64 y x)))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 y (/.f64 y x))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 (/.f64 y x) y)))
(fma.f64 3/2 x (*.f64 -1/6 (/.f64 (*.f64 y y) x)))
(fma.f64 3/2 x (*.f64 (*.f64 y y) (/.f64 -1/6 x)))
(fma.f64 3/2 x (*.f64 (*.f64 -1/6 y) (/.f64 y x)))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 y (/.f64 y x))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 (/.f64 y x) y)))
(fma.f64 3/2 x (*.f64 -1/6 (/.f64 (*.f64 y y) x)))
(fma.f64 3/2 x (*.f64 (*.f64 y y) (/.f64 -1/6 x)))
(fma.f64 3/2 x (*.f64 (*.f64 -1/6 y) (/.f64 y x)))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 y (/.f64 y x))))
(*.f64 -1/6 (/.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (/.f64 (*.f64 y y) x))
(*.f64 -1/6 (/.f64 y (/.f64 x y)))
(*.f64 -1/6 (*.f64 (/.f64 y x) y))
(*.f64 (*.f64 y y) (/.f64 -1/6 x))
(*.f64 (*.f64 -1/6 y) (/.f64 y x))
(*.f64 -1/6 (*.f64 y (/.f64 y x)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 (/.f64 y x) y)))
(fma.f64 3/2 x (*.f64 -1/6 (/.f64 (*.f64 y y) x)))
(fma.f64 3/2 x (*.f64 (*.f64 y y) (/.f64 -1/6 x)))
(fma.f64 3/2 x (*.f64 (*.f64 -1/6 y) (/.f64 y x)))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 y (/.f64 y x))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 (/.f64 y x) y)))
(fma.f64 3/2 x (*.f64 -1/6 (/.f64 (*.f64 y y) x)))
(fma.f64 3/2 x (*.f64 (*.f64 y y) (/.f64 -1/6 x)))
(fma.f64 3/2 x (*.f64 (*.f64 -1/6 y) (/.f64 y x)))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 y (/.f64 y x))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 (/.f64 y x) y)))
(fma.f64 3/2 x (*.f64 -1/6 (/.f64 (*.f64 y y) x)))
(fma.f64 3/2 x (*.f64 (*.f64 y y) (/.f64 -1/6 x)))
(fma.f64 3/2 x (*.f64 (*.f64 -1/6 y) (/.f64 y x)))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 y (/.f64 y x))))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 (/.f64 y x) y)))
(fma.f64 3/2 x (*.f64 -1/6 (/.f64 (*.f64 y y) x)))
(fma.f64 3/2 x (*.f64 (*.f64 y y) (/.f64 -1/6 x)))
(fma.f64 3/2 x (*.f64 (*.f64 -1/6 y) (/.f64 y x)))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 y (/.f64 y x))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 (/.f64 y x) y)))
(fma.f64 3/2 x (*.f64 -1/6 (/.f64 (*.f64 y y) x)))
(fma.f64 3/2 x (*.f64 (*.f64 y y) (/.f64 -1/6 x)))
(fma.f64 3/2 x (*.f64 (*.f64 -1/6 y) (/.f64 y x)))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 y (/.f64 y x))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 (/.f64 y x) y)))
(fma.f64 3/2 x (*.f64 -1/6 (/.f64 (*.f64 y y) x)))
(fma.f64 3/2 x (*.f64 (*.f64 y y) (/.f64 -1/6 x)))
(fma.f64 3/2 x (*.f64 (*.f64 -1/6 y) (/.f64 y x)))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 y (/.f64 y x))))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 (/.f64 y x) y)))
(fma.f64 3/2 x (*.f64 -1/6 (/.f64 (*.f64 y y) x)))
(fma.f64 3/2 x (*.f64 (*.f64 y y) (/.f64 -1/6 x)))
(fma.f64 3/2 x (*.f64 (*.f64 -1/6 y) (/.f64 y x)))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 y (/.f64 y x))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 (/.f64 y x) y)))
(fma.f64 3/2 x (*.f64 -1/6 (/.f64 (*.f64 y y) x)))
(fma.f64 3/2 x (*.f64 (*.f64 y y) (/.f64 -1/6 x)))
(fma.f64 3/2 x (*.f64 (*.f64 -1/6 y) (/.f64 y x)))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 y (/.f64 y x))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (*.f64 3/2 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 (/.f64 y x) y)))
(fma.f64 3/2 x (*.f64 -1/6 (/.f64 (*.f64 y y) x)))
(fma.f64 3/2 x (*.f64 (*.f64 y y) (/.f64 -1/6 x)))
(fma.f64 3/2 x (*.f64 (*.f64 -1/6 y) (/.f64 y x)))
(fma.f64 3/2 x (*.f64 -1/6 (*.f64 y (/.f64 y x))))

eval166.0ms (5%)

Compiler

Compiled 8265 to 5806 computations (29.8% saved)

prune56.0ms (1.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New3921393
Fresh000
Picked011
Done145
Total3936399
Error
0b
Counts
399 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓48.6b
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (*.f64 x -3/2))
✓0.1b
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
▶48.2b
(/.f64 (*.f64 x (*.f64 x -9/4)) (*.f64 x -3/2))
✓0b
(fma.f64 3/2 x (*.f64 -1/2 y))
✓32.5b
(*.f64 3/2 x)
✓30.4b
(*.f64 -1/2 y)
Compiler

Compiled 57 to 43 computations (24.6% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (*.f64 x -9/4))
✓31.3b
(/.f64 (*.f64 x (*.f64 x -9/4)) (*.f64 x -3/2))
Compiler

Compiled 25 to 17 computations (32% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (*.f64 x (*.f64 x -9/4)) (*.f64 x -3/2))
0.0ms
x
@inf
(/.f64 (*.f64 x (*.f64 x -9/4)) (*.f64 x -3/2))
0.0ms
x
@-inf
(/.f64 (*.f64 x (*.f64 x -9/4)) (*.f64 x -3/2))

rewrite60.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
959×pow1_binary64
907×add-log-exp_binary64
907×log1p-expm1-u_binary64
907×expm1-log1p-u_binary64
105×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
11754
225104
Stop Event
1×node limit
Counts
1 → 69
Calls
Call 1
Inputs
(/.f64 (*.f64 x (*.f64 x -9/4)) (*.f64 x -3/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x -9/4) (/.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -9/4) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -9/4) (*.f64 x (/.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x -9/4)) (/.f64 -2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 -9/4 (/.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 3/2)) (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 2) (cbrt.f64 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -9/4))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -9/4))) (/.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x -3/2)) 2) (neg.f64 (cbrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3/2)) (sqrt.f64 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 -9/4)) (*.f64 (*.f64 x (sqrt.f64 -9/4)) (/.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x -3/2)) (neg.f64 (sqrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x -3/2) 2) (/.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/3 x) (*.f64 x (*.f64 x -9/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -9/4) 1) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -9/4) 1) (/.f64 x (*.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x -9/4)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 x -9/4) (*.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -9/4) x) (/.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -3/2) (/.f64 (*.f64 x -9/4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) x) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -9/4))) 2) x) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x -9/4))) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 -9/4)) x) (/.f64 (*.f64 x (sqrt.f64 -9/4)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 -9/4)) -3/2) (/.f64 (*.f64 x (sqrt.f64 -9/4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/3 (/.f64 (*.f64 x -9/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) -3/2) (/.f64 -9/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -9/4))) 2) -3/2) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x -9/4))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x -3/2)) (*.f64 x -9/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 -9/4 (*.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -9/4))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x -9/4))) (*.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 -9/4)) 1) (/.f64 (*.f64 x (sqrt.f64 -9/4)) (*.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x -3/2)) 2)) (/.f64 (*.f64 x -9/4) (cbrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -9/4) (pow.f64 (cbrt.f64 (*.f64 x -3/2)) 2)) (/.f64 x (cbrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x -3/2)) 2)) (/.f64 (*.f64 x (*.f64 x -9/4)) (cbrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x -3/2)) 2)) (/.f64 -9/4 (cbrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -9/4))) 2) (pow.f64 (cbrt.f64 (*.f64 x -3/2)) 2)) (cbrt.f64 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 -9/4)) (pow.f64 (cbrt.f64 (*.f64 x -3/2)) 2)) (/.f64 (*.f64 x (sqrt.f64 -9/4)) (cbrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (*.f64 x -3/2))) (/.f64 (*.f64 x -9/4) (sqrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -9/4) (sqrt.f64 (*.f64 x -3/2))) (/.f64 x (sqrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x -3/2))) (/.f64 (*.f64 x (*.f64 x -9/4)) (sqrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -3/2))) (/.f64 -9/4 (sqrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -9/4))) 2) (sqrt.f64 (*.f64 x -3/2))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x -9/4))) (sqrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 x -3/2))) (sqrt.f64 (*.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -3/2)) 2)) (cbrt.f64 (*.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 3/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2/3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x -9/4)) (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 x x) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 (exp.f64 -3/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x -9/4)) 3) (pow.f64 (*.f64 x -3/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 3/2)))))))

simplify10.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
1548
Stop Event
1×saturated
Counts
81 → 69
Calls
Call 1
Inputs
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
Outputs
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)

eval25.0ms (0.7%)

Compiler

Compiled 1008 to 755 computations (25.1% saved)

prune17.0ms (0.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New86692
Fresh000
Picked101
Done145
Total881098
Error
0b
Counts
98 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
32.6b
(*.f64 (/.f64 (*.f64 x -9/4) x) (/.f64 x -3/2))
32.6b
(*.f64 (*.f64 x -9/4) -2/3)
✓30.4b
(*.f64 -1/2 y)
48.2b
(*.f64 (/.f64 (*.f64 x x) -3/2) (/.f64 -9/4 x))
48.2b
(*.f64 (/.f64 (*.f64 x x) x) 3/2)
32.6b
(pow.f64 (/.f64 2/3 x) -1)
✓0b
(fma.f64 3/2 x (*.f64 -1/2 y))
✓32.5b
(*.f64 3/2 x)
32.7b
(*.f64 (/.f64 x (*.f64 x -3/2)) (*.f64 x -9/4))
Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes33.0ms (1%)

Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 3/2 x)
(*.f64 -1/2 y)
(*.f64 (*.f64 x -9/4) -2/3)
(*.f64 (/.f64 (*.f64 x x) x) 3/2)
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
(+.f64 x (/.f64 (-.f64 x y) 2))
(*.f64 (/.f64 (*.f64 x -9/4) x) (/.f64 x -3/2))
(*.f64 (/.f64 (*.f64 x x) -3/2) (/.f64 -9/4 x))
(*.f64 (/.f64 x (*.f64 x -3/2)) (*.f64 x -9/4))
(/.f64 (*.f64 x (*.f64 x -9/4)) (*.f64 x -3/2))
(/.f64 (*.f64 x (*.f64 x -9/4)) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (*.f64 x -3/2))
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))
(pow.f64 (/.f64 2/3 x) -1)
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 y -1/2 (*.f64 x 3/2))
Outputs
(fma.f64 3/2 x (*.f64 -1/2 y))
Calls

3 calls:

9.0ms
(+.f64 x (/.f64 (-.f64 x y) 2))
9.0ms
y
9.0ms
x
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1(+.f64 x (/.f64 (-.f64 x y) 2))
Compiler

Compiled 153 to 102 computations (33.3% saved)

regimes31.0ms (0.9%)

Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 3/2 x)
(*.f64 -1/2 y)
(*.f64 (*.f64 x -9/4) -2/3)
(*.f64 (/.f64 (*.f64 x x) x) 3/2)
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
(+.f64 x (/.f64 (-.f64 x y) 2))
(*.f64 (/.f64 (*.f64 x -9/4) x) (/.f64 x -3/2))
(*.f64 (/.f64 (*.f64 x x) -3/2) (/.f64 -9/4 x))
(*.f64 (/.f64 x (*.f64 x -3/2)) (*.f64 x -9/4))
(/.f64 (*.f64 x (*.f64 x -9/4)) (*.f64 x -3/2))
(/.f64 (*.f64 x (*.f64 x -9/4)) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (*.f64 x -3/2))
(/.f64 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 9/4 (*.f64 x x))) (-.f64 (*.f64 y -1/2) (*.f64 x 3/2)))
(pow.f64 (/.f64 2/3 x) -1)
Outputs
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
Calls

3 calls:

9.0ms
y
8.0ms
(+.f64 x (/.f64 (-.f64 x y) 2))
8.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1(+.f64 x (/.f64 (-.f64 x y) 2))
Compiler

Compiled 141 to 94 computations (33.3% saved)

regimes25.0ms (0.7%)

Accuracy

Total -48.6b remaining (-350.8%)

Threshold costs -48.6b (-350.8%)

Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 3/2 x)
(*.f64 -1/2 y)
(*.f64 (*.f64 x -9/4) -2/3)
(*.f64 (/.f64 (*.f64 x x) x) 3/2)
Outputs
(*.f64 3/2 x)
(*.f64 -1/2 y)
(*.f64 3/2 x)
Calls

2 calls:

12.0ms
x
11.0ms
y
Results
ErrorSegmentsBranch
13.9b3x
14.2b3y
Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch32.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
128903.20277625337
5.084411201161055e+21
16.0ms
-1.143189810419369e-11
-1.2866612082958661e-13
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01846
12046
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
(if (<=.f64 x -442250137131625/38685626227668133590597632) (*.f64 3/2 x) (if (<=.f64 x 4429080322189317/34359738368) (*.f64 -1/2 y) (*.f64 3/2 x)))
(*.f64 3/2 x)
Outputs
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(if (<=.f64 x -442250137131625/38685626227668133590597632) (*.f64 3/2 x) (if (<=.f64 x 4429080322189317/34359738368) (*.f64 -1/2 y) (*.f64 3/2 x)))
(*.f64 3/2 x)
Compiler

Compiled 41 to 31 computations (24.4% saved)

soundness16.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
15×fma-def_binary64
5×+-commutative_binary64
3×*-commutative_binary64
3×associate-+l+_binary64
2×associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014168
132168
246168
Stop Event
1×saturated
Compiler

Compiled 70 to 54 computations (22.9% saved)

end32.0ms (1%)

Compiler

Compiled 35 to 25 computations (28.6% saved)

Profiling

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