Details

Time bar (total: 4.3s)

analyze49.0ms (1.1%)

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%74.9%0.1%0%25%0%4
16.7%12.5%62.4%0.1%0%25%0%5
30%18.7%43.7%0.1%0%37.5%0%6
45%28.1%34.3%0.1%0%37.5%0%7
58.3%32.8%23.4%0.1%0%43.7%0%8
66.7%36.7%18.3%0.1%1.2%43.7%0%9
76.2%39.4%12.3%0.1%1.4%46.8%0%10
81.5%41.6%9.5%0.1%2%46.8%0%11
87.2%43%6.3%0.1%2.2%48.4%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample902.0ms (21.1%)

Results
845.0ms8256×body256valid
24.0ms268×body256invalid
18.0ms175×body256infinite
Bogosity

preprocess44.0ms (1%)

Algorithm
2×egg-herbie
Rules
258×fma-neg_binary64
254×fma-def_binary64
74×cancel-sign-sub-inv_binary64
60×sub-neg_binary64
40×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
12620
26520
313020
428520
559220
698320
7114620
8120620
9121820
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 1 y) (*.f64 x (sqrt.f64 y)))
Outputs
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(+.f64 (-.f64 1 y) (*.f64 x (sqrt.f64 y)))
(fma.f64 x (sqrt.f64 y) (-.f64 1 y))
(-.f64 (fma.f64 x (sqrt.f64 y) 1) y)
Compiler

Compiled 12 to 9 computations (25% saved)

simplify23.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
151×fma-def_binary64
131×fma-neg_binary64
46×cancel-sign-sub-inv_binary64
37×sub-neg_binary64
30×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
11610
23710
37210
415010
531210
651110
763510
871710
973110
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
Outputs
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)

eval1.0ms (0%)

Compiler

Compiled 17 to 10 computations (41.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 7 computations (30% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
✓0.2b
(*.f64 y (sqrt.f64 x))
Compiler

Compiled 22 to 10 computations (54.5% saved)

series8.0ms (0.2%)

Counts
2 → 15
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 y (sqrt.f64 x))
1.0ms
x
@-inf
(*.f64 y (sqrt.f64 x))
1.0ms
y
@0
(*.f64 y (sqrt.f64 x))
1.0ms
y
@inf
(*.f64 y (sqrt.f64 x))
1.0ms
x
@inf
(*.f64 y (sqrt.f64 x))

rewrite62.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
969×pow1_binary64
903×add-log-exp_binary64
903×log1p-expm1-u_binary64
903×expm1-log1p-u_binary64
90×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0818
117416
2242516
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 x))
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 x (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 y (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y))) (/.f64 1 (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))) (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 y (sqrt.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 y (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 y (sqrt.f64 x)) 3)) (+.f64 (*.f64 x (*.f64 y y)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 y (sqrt.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))) (neg.f64 (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) 3)) (+.f64 1 (+.f64 (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 x (*.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))))) (+.f64 1 (-.f64 x (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) y (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 y (sqrt.f64 x)))))))

simplify30.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
190×fma-def_binary64
155×fma-neg_binary64
55×cancel-sign-sub-inv_binary64
34×distribute-rgt-in_binary64
33×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011113
121113
232113
354113
488113
5147113
6283113
7436113
8595113
9733113
10825113
11831113
Stop Event
1×saturated
Counts
67 → 57
Calls
Call 1
Inputs
1
(*.f64 -1 x)
(*.f64 -1 x)
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
Outputs
1
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))

eval15.0ms (0.3%)

Compiler

Compiled 799 to 397 computations (50.3% saved)

prune15.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New49857
Fresh000
Picked011
Done000
Total49958
Error
0.0b
Counts
58 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶42.3b
(*.f64 y (sqrt.f64 x))
✓0.1b
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
▶43.4b
(neg.f64 x)
▶0.1b
(fma.f64 (sqrt.f64 x) y (-.f64 1 x))
0.4b
(+.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3))
▶21.5b
(-.f64 1 x)
27.1b
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
41.8b
1
▶20.1b
(+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 x (*.f64 y y))))
Compiler

Compiled 155 to 110 computations (29% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 (sqrt.f64 x) y (-.f64 1 x))
Compiler

Compiled 17 to 9 computations (47.1% saved)

series3.0ms (0.1%)

Counts
1 → 15
Calls

6 calls:

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

rewrite48.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
700×pow1_binary64
649×add-log-exp_binary64
649×log1p-expm1-u_binary64
649×expm1-log1p-u_binary64
634×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114310
2172910
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (*.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 x) y) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (sqrt.f64 x) y) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (sqrt.f64 x) y (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sqrt.f64 x) y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 x) y (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 x) y (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 1 x))) 2) (cbrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 1 x))) (sqrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 x) y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 x) y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 x) y (-.f64 1 x))))))))

simplify30.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
190×fma-def_binary64
155×fma-neg_binary64
55×cancel-sign-sub-inv_binary64
34×distribute-rgt-in_binary64
33×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011113
121113
232113
354113
488113
5147113
6283113
7436113
8595113
9733113
10825113
11831113
Stop Event
1×saturated
Counts
38 → 30
Calls
Call 1
Inputs
1
(*.f64 -1 x)
(*.f64 -1 x)
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
Outputs
1
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))

localize2.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 y (sqrt.f64 x))
Compiler

Compiled 10 to 4 computations (60% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 x (*.f64 y y))))
✓6.9b
(*.f64 x (*.f64 y y))
✓24.4b
(sqrt.f64 (*.f64 x (*.f64 y y)))
Compiler

Compiled 32 to 11 computations (65.6% saved)

series8.0ms (0.2%)

Counts
3 → 51
Calls

18 calls:

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

rewrite78.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
506×fma-def_binary64
464×log-prod_binary64
348×pow-prod-down_binary64
337×exp-prod_binary64
252×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0931
119723
2281423
Stop Event
1×node limit
Counts
3 → 134
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x (*.f64 y y)))
(*.f64 x (*.f64 y y))
(+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 x (*.f64 y y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 y y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (sqrt.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (sqrt.f64 x))))) (sqrt.f64 (log.f64 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y y))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y y))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 y y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 y y)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 y y))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y y))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) 1) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 x (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 y (sqrt.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3/2) (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y))) (/.f64 1 (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2)) (fma.f64 (pow.f64 x 3/2) (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3/2) (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3/2) (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3)) (fma.f64 x (*.f64 y y) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3/2) (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))) (neg.f64 (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) 3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) 2) (-.f64 x (*.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) 2)) (+.f64 1 (-.f64 x (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)) (pow.f64 (-.f64 1 x) 2)) (fma.f64 (pow.f64 x 3/2) (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))) (sqrt.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 x)))) (exp.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)) (+.f64 1 (expm1.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (pow.f64 (exp.f64 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 1 x)) (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) 1 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) 1 (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (*.f64 y y))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) y (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (fma.f64 x x x))) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y) (-.f64 1 x))))))

simplify98.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
630×fma-neg_binary64
612×fma-def_binary64
405×distribute-rgt-neg-in_binary64
386×neg-sub0_binary64
381×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017353
140353
284353
3195353
4483353
51192353
62489353
75107353
86689353
97537353
Stop Event
1×node limit
Counts
185 → 144
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
1
(*.f64 -1 x)
(*.f64 -1 x)
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 x))) 1) x)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 x))) 1) x)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 x))) 1) x)
Outputs
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
1
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 (fma.f64 y (sqrt.f64 x) x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 (fma.f64 y (sqrt.f64 x) x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 (fma.f64 y (sqrt.f64 x) x))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 (fma.f64 y (sqrt.f64 x) x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 (fma.f64 y (sqrt.f64 x) x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 (fma.f64 y (sqrt.f64 x) x))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 x))) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 (fma.f64 y (sqrt.f64 x) x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 x))) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 (fma.f64 y (sqrt.f64 x) x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 x))) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 (fma.f64 y (sqrt.f64 x) x))

eval45.0ms (1.1%)

Compiler

Compiled 2387 to 1201 computations (49.7% saved)

prune30.0ms (0.7%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New1824186
Fresh213
Picked101
Done055
Total18510195
Error
0.0b
Counts
195 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
41.8b
1
▶32.6b
(+.f64 (-.f64 1 x) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)))
✓42.3b
(*.f64 y (sqrt.f64 x))
✓0.1b
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
✓43.4b
(neg.f64 x)
✓0.1b
(fma.f64 (sqrt.f64 x) y (-.f64 1 x))
▶18.6b
(+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 y (*.f64 y x))))
✓21.5b
(-.f64 1 x)
▶27.1b
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
▶42.6b
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
Compiler

Compiled 93 to 66 computations (29% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 y (*.f64 y x))))
✓0.1b
(*.f64 y (*.f64 y x))
✓24.4b
(sqrt.f64 (*.f64 y (*.f64 y x)))
Compiler

Compiled 32 to 11 computations (65.6% saved)

series5.0ms (0.1%)

Counts
3 → 51
Calls

18 calls:

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

rewrite75.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
505×fma-def_binary64
485×log-prod_binary64
359×pow-prod-down_binary64
352×exp-prod_binary64
254×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0931
119625
2278423
Stop Event
1×node limit
Counts
3 → 135
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 y x))
(+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 y (*.f64 y x))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (*.f64 y x)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (*.f64 y x))))) (sqrt.f64 (log.f64 (*.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y x))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) 1) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 x (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))) (/.f64 (*.f64 y (*.f64 y x)) (-.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 y (sqrt.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> 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(log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) 1 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) 1 (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (*.f64 y x))) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 y (*.f64 y x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (fma.f64 x x x))) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 y (sqrt.f64 x)))))))

simplify103.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
630×fma-neg_binary64
612×fma-def_binary64
405×distribute-rgt-neg-in_binary64
386×neg-sub0_binary64
381×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017353
140353
284353
3195353
4483353
51192353
62489353
75107353
86689353
97537353
Stop Event
1×node limit
Counts
186 → 145
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
1
(*.f64 -1 x)
(*.f64 -1 x)
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 x))) 1) x)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 x))) 1) x)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 x))) 1) x)
Outputs
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
1
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 (fma.f64 y (sqrt.f64 x) x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 (fma.f64 y (sqrt.f64 x) x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 (fma.f64 y (sqrt.f64 x) x))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 (fma.f64 y (sqrt.f64 x) x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 (fma.f64 y (sqrt.f64 x) x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 (fma.f64 y (sqrt.f64 x) x))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 x))) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 (fma.f64 y (sqrt.f64 x) x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 x))) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 (fma.f64 y (sqrt.f64 x) x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 x))) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 (fma.f64 y (sqrt.f64 x) x))

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (-.f64 1 x) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)))
✓0.2b
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y))
✓9.1b
(sqrt.f64 (*.f64 x y))
Compiler

Compiled 35 to 12 computations (65.7% saved)

series10.0ms (0.2%)

Counts
3 → 27
Calls

18 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(sqrt.f64 (*.f64 x y))
1.0ms
y
@-inf
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y))
1.0ms
x
@0
(sqrt.f64 (*.f64 x y))
1.0ms
x
@-inf
(sqrt.f64 (*.f64 x y))
1.0ms
y
@0
(sqrt.f64 (*.f64 x y))

rewrite91.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
520×log-prod_binary64
430×fma-def_binary64
424×pow-prod-down_binary64
272×pow2_binary64
197×pow-to-exp_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01030
121624
2293522
Stop Event
1×node limit
Counts
3 → 129
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x y))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y))
(+.f64 (-.f64 1 x) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x y) 1/6) (cbrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x y) 1/4) (pow.f64 (*.f64 x y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 1) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 y)) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (pow.f64 y 1/4)) (pow.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x y) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x y) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x y) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x y)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 x y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 y y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 x) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) y)) 3) 1/3))))))
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simplify99.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
861×fma-neg_binary64
627×fma-def_binary64
446×cube-prod_binary64
399×distribute-rgt-neg-in_binary64
345×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019185
144185
2113185
3288185
41063185
52462185
63708185
74460185
85531185
97234185
Stop Event
1×unsound
Counts
156 → 138
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
1
(*.f64 -1 x)
(*.f64 -1 x)
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))) x)
Outputs
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
1
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))

localize47.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 y (sqrt.f64 x))
✓4.4b
(-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
6.9b
(*.f64 x (*.f64 y y))
✓22.2b
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
Compiler

Compiled 73 to 30 computations (58.9% saved)

series16.0ms (0.4%)

Counts
2 → 39
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
3.0ms
x
@-inf
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
2.0ms
x
@inf
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
1.0ms
y
@0
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
1.0ms
y
@inf
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))

rewrite143.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
874×fma-def_binary64
395×fma-neg_binary64
293×expm1-udef_binary64
291×log1p-udef_binary64
240×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01546
134844
2518544
Stop Event
1×node limit
Counts
2 → 163
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
(-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
Outputs
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(*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (*.f64 y y) (neg.f64 x)))) (hypot.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (*.f64 y y) (neg.f64 x)))) (fma.f64 (*.f64 (*.f64 y y) (neg.f64 x)) 1 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (*.f64 y y) (neg.f64 x)))) (hypot.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (*.f64 y y) (neg.f64 x)))) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (*.f64 y y) (neg.f64 x)))) (hypot.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (*.f64 y y) (neg.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))) (cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 y 4))) (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (*.f64 y y) (neg.f64 x)))) (hypot.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (*.f64 y y) (neg.f64 x)))) (fma.f64 (neg.f64 y) (*.f64 x y) (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)) (*.f64 (*.f64 y y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)) (*.f64 (*.f64 (*.f64 y y) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (-.f64 1 x) 6) (pow.f64 (*.f64 x (*.f64 y y)) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 x (*.f64 y y) (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 1 x) 4))) (fma.f64 (*.f64 (*.f64 y y) (neg.f64 x)) 1 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (-.f64 1 x) 6) (pow.f64 (*.f64 x (*.f64 y y)) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 x (*.f64 y y) (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 1 x) 4))) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (-.f64 1 x) 6) (pow.f64 (*.f64 x (*.f64 y y)) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 x (*.f64 y y) (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 1 x) 4))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))) (cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 y 4))) (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (-.f64 1 x) 6) (pow.f64 (*.f64 x (*.f64 y y)) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 x (*.f64 y y) (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 1 x) 4))) (fma.f64 (neg.f64 y) (*.f64 x y) (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (*.f64 y y) (pow.f64 (-.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (-.f64 1 x) 4) (*.f64 (*.f64 x x) (pow.f64 y 4))) (/.f64 1 (fma.f64 x (*.f64 y y) (pow.f64 (-.f64 1 x) 2))) (fma.f64 (*.f64 (*.f64 y y) (neg.f64 x)) 1 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 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fma.f64 (*.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (*.f64 (*.f64 (*.f64 y y) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 y y) (neg.f64 x))) (cbrt.f64 (*.f64 (*.f64 y y) (neg.f64 x)))) (cbrt.f64 (*.f64 (*.f64 y y) (neg.f64 x))) (pow.f64 (-.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) (neg.f64 x))) (sqrt.f64 (*.f64 (*.f64 y y) (neg.f64 x))) (pow.f64 (-.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 y (sqrt.f64 x))) (*.f64 y (sqrt.f64 x)) (pow.f64 (-.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 y y)) x (pow.f64 (-.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) (-.f64 1 (fma.f64 y (sqrt.f64 x) x)) (fma.f64 (*.f64 (*.f64 y y) (neg.f64 x)) 1 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) (-.f64 1 (fma.f64 y (sqrt.f64 x) x)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) (-.f64 1 (fma.f64 y (sqrt.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))) (cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 y 4))) (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) (-.f64 1 (fma.f64 y (sqrt.f64 x) x)) (fma.f64 (neg.f64 y) (*.f64 x y) (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 y 4)))) (cbrt.f64 (*.f64 x (*.f64 y y))) (pow.f64 (-.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 x y)) y (pow.f64 (-.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) (*.f64 y y) (pow.f64 (-.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (-.f64 1 x)) (*.f64 (*.f64 y y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (-.f64 1 x)) (*.f64 (*.f64 (*.f64 y y) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) y) y (pow.f64 (-.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) (pow.f64 (-.f64 1 x) 2))))))

simplify75.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
497×unsub-neg_binary64
409×fma-def_binary64
296×difference-of-squares_binary64
289×sub-neg_binary64
258×distribute-rgt-out--_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030496
186424
2218360
3627360
42504360
55601360
Stop Event
1×node limit
Counts
202 → 184
Calls
Call 1
Inputs
1
(*.f64 -1 x)
(*.f64 -1 x)
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
1
(+.f64 1 (*.f64 -1 (*.f64 x (+.f64 2 (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (-.f64 2 (*.f64 -1 (pow.f64 y 2))) x)))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (-.f64 2 (*.f64 -1 (pow.f64 y 2))) x))))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (-.f64 2 (*.f64 -1 (pow.f64 y 2))) x))))
(pow.f64 (-.f64 1 x) 2)
(+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
Outputs
1
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
1
(+.f64 1 (*.f64 -1 (*.f64 x (+.f64 2 (pow.f64 y 2)))))
(+.f64 1 (*.f64 (neg.f64 x) (+.f64 2 (*.f64 y y))))
(-.f64 1 (*.f64 x (fma.f64 y y 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 2 (*.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 2 (*.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2))
(fma.f64 -1 (*.f64 x (+.f64 2 (*.f64 y y))) (*.f64 x x))
(*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2))))
(*.f64 x (-.f64 x (fma.f64 y y 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 2 (*.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 2 (pow.f64 y 2)))) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 2 (*.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (-.f64 2 (*.f64 -1 (pow.f64 y 2))) x)))
(fma.f64 -1 (*.f64 x (+.f64 2 (*.f64 y y))) (*.f64 x x))
(*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2))))
(*.f64 x (-.f64 x (fma.f64 y y 2)))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (-.f64 2 (*.f64 -1 (pow.f64 y 2))) x))))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 2 (*.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (-.f64 2 (*.f64 -1 (pow.f64 y 2))) x))))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 2 (*.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(pow.f64 (-.f64 1 x) 2)
(+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 2 (*.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 2 (*.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 2 (*.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 (neg.f64 (*.f64 y y)) x)
(neg.f64 (*.f64 y (*.f64 y x)))
(*.f64 x (*.f64 y (neg.f64 y)))
(+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 2 (*.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 2 (*.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 2 (*.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 (neg.f64 (*.f64 y y)) x)
(neg.f64 (*.f64 y (*.f64 y x)))
(*.f64 x (*.f64 y (neg.f64 y)))
(+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 2 (*.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 2 (*.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)
(+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 2 (*.f64 y y))) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x (neg.f64 (fma.f64 y y 2)))))
(fma.f64 x (-.f64 x (fma.f64 y y 2)) 1)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 y (sqrt.f64 x))
✓0.7b
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
✓3.1b
(cbrt.f64 (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 23 to 8 computations (65.2% saved)

series79.0ms (1.9%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
28.0ms
x
@0
(cbrt.f64 (*.f64 y (sqrt.f64 x)))
19.0ms
x
@-inf
(cbrt.f64 (*.f64 y (sqrt.f64 x)))
15.0ms
x
@inf
(cbrt.f64 (*.f64 y (sqrt.f64 x)))
4.0ms
y
@inf
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
3.0ms
y
@-inf
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)

rewrite81.0ms (1.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
116714
2166314
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 y (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 1/6) (pow.f64 (*.f64 y (sqrt.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) 1/3) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (cbrt.f64 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 1/6) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 1/6) (cbrt.f64 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))) 3) (cbrt.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 1) (cbrt.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) (pow.f64 (*.f64 y (sqrt.f64 x)) 1/6)) (pow.f64 (*.f64 y (sqrt.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))))))

simplify201.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
2082×unswap-sqr_binary64
1101×sqr-pow_binary64
523×fma-def_binary64
375×*-commutative_binary64
368×pow-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028252
173220
2153216
3361216
41253216
52261216
62387216
72628216
82886216
93183216
104020216
114389216
124771216
135222216
145721216
155944216
166080216
176164216
186254216
196278216
206671216
Stop Event
1×node limit
Counts
76 → 59
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3))
(*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x)))
Outputs
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 x 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 x 1/6))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (*.f64 y (sqrt.f64 -1))))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (*.f64 y (sqrt.f64 -1))))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (*.f64 y (sqrt.f64 -1))))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (*.f64 y (sqrt.f64 -1))))
(*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (*.f64 1 (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 y -1))
(*.f64 y (neg.f64 (sqrt.f64 x)))
(neg.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (*.f64 1 (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 y -1))
(*.f64 y (neg.f64 (sqrt.f64 x)))
(neg.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (*.f64 1 (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 y -1))
(*.f64 y (neg.f64 (sqrt.f64 x)))
(neg.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (*.f64 1 (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 y -1))
(*.f64 y (neg.f64 (sqrt.f64 x)))
(neg.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 y))

eval185.0ms (4.3%)

Compiler

Compiled 11346 to 5204 computations (54.1% saved)

prune93.0ms (2.2%)

Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New5784582
Fresh101
Picked011
Done178
Total58012592
Error
0.0b
Counts
592 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
▶42.4b
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y))
41.8b
1
✓42.3b
(*.f64 y (sqrt.f64 x))
✓0.1b
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
✓43.4b
(neg.f64 x)
✓0.1b
(fma.f64 (sqrt.f64 x) y (-.f64 1 x))
▶32.6b
(+.f64 (-.f64 1 x) (*.f64 (pow.f64 (pow.f64 (*.f64 x y) 1/4) 2) (sqrt.f64 y)))
▶56.7b
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
✓32.6b
(+.f64 (-.f64 1 x) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)))
✓18.6b
(+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 y (*.f64 y x))))
✓21.5b
(-.f64 1 x)
✓42.6b
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
Compiler

Compiled 115 to 82 computations (28.7% saved)

localize27.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 x 1/4)
✓0.3b
(*.f64 (pow.f64 x 1/4) y)
✓0.3b
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y))
Compiler

Compiled 22 to 14 computations (36.4% saved)

series87.0ms (2%)

Counts
3 → 40
Calls

15 calls:

TimeVariablePointExpression
53.0ms
y
@0
(*.f64 (pow.f64 x 1/4) y)
16.0ms
x
@-inf
(*.f64 (pow.f64 x 1/4) y)
11.0ms
x
@0
(*.f64 (pow.f64 x 1/4) y)
1.0ms
x
@inf
(*.f64 (pow.f64 x 1/4) y)
1.0ms
x
@0
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y))

rewrite64.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
641×pow1_binary64
593×add-log-exp_binary64
593×log1p-expm1-u_binary64
593×expm1-log1p-u_binary64
579×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0724
114717
2169817
Stop Event
1×node limit
Counts
3 → 37
Calls
Call 1
Inputs
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y))
(*.f64 (pow.f64 x 1/4) y)
(pow.f64 x 1/4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 1/4) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 1/4) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 1/4) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 1/4) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 x 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 1/4) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 1/4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 1/4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 1/4) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 1/4)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/8) (pow.f64 x 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/4) (pow.f64 (cbrt.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/4) (pow.f64 (sqrt.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 1/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 x)))))))

simplify60.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
677×fma-def_binary64
644×div-sub_binary64
610×fma-neg_binary64
411×times-frac_binary64
232×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
019308
146304
294292
3208272
4588256
51747256
65619256
Stop Event
1×node limit
Counts
77 → 43
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
Outputs
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(*.f64 (pow.f64 (*.f64 1 x) 1/4) y)
(*.f64 y (pow.f64 x 1/4))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4))
(pow.f64 (exp.f64 1/4) (log.f64 x))
(pow.f64 x 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4))
(pow.f64 (exp.f64 1/4) (log.f64 x))
(pow.f64 x 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4))
(pow.f64 (exp.f64 1/4) (log.f64 x))
(pow.f64 x 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) -1/4) (pow.f64 -1 1/4))
(pow.f64 (exp.f64 1/4) (log.f64 x))
(pow.f64 x 1/4)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (-.f64 1 x) (*.f64 (pow.f64 (pow.f64 (*.f64 x y) 1/4) 2) (sqrt.f64 y)))
✓0.2b
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) 1/4) 2) (sqrt.f64 y))
✓0.3b
(pow.f64 (pow.f64 (*.f64 x y) 1/4) 2)
✓10.6b
(pow.f64 (*.f64 x y) 1/4)
Compiler

Compiled 51 to 28 computations (45.1% saved)

series98.0ms (2.3%)

Counts
4 → 75
Calls

24 calls:

TimeVariablePointExpression
22.0ms
x
@-inf
(pow.f64 (*.f64 x y) 1/4)
17.0ms
y
@-inf
(pow.f64 (*.f64 x y) 1/4)
14.0ms
x
@0
(pow.f64 (*.f64 x y) 1/4)
12.0ms
y
@0
(pow.f64 (*.f64 x y) 1/4)
10.0ms
y
@inf
(pow.f64 (*.f64 x y) 1/4)

rewrite85.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
607×log-prod_binary64
417×fma-def_binary64
337×pow2_binary64
234×pow-unpow_binary64
225×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01344
128937
2365837
Stop Event
1×node limit
Counts
4 → 130
Calls
Call 1
Inputs
(pow.f64 (*.f64 x y) 1/4)
(pow.f64 (pow.f64 (*.f64 x y) 1/4) 2)
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) 1/4) 2) (sqrt.f64 y))
(+.f64 (-.f64 1 x) (*.f64 (pow.f64 (pow.f64 (*.f64 x y) 1/4) 2) (sqrt.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 x y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x y) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x y) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x y) 1/12) (pow.f64 (*.f64 x y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x y) 1/6) (pow.f64 (*.f64 x y) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (pow.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x y) 1/8) (pow.f64 (*.f64 x y) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (*.f64 x y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (*.f64 x y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x y) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x y) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x y))) 1))))))
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simplify91.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
672×fma-neg_binary64
400×fma-def_binary64
302×exp-sum_binary64
287×associate-*l*_binary64
274×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
057881
1164881
2425737
31218497
44690493
Stop Event
1×node limit
Counts
205 → 152
Calls
Call 1
Inputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 y)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 y)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 y)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 y)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 x)))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 y))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 y))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 y))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 y))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 x))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 x))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 x))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 x))))) 2)
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
1
(*.f64 -1 x)
(*.f64 -1 x)
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))) x)
Outputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 y)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 y)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 y)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 y)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 x)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 x)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 x)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 x)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x)))
(*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 y x) 1/4)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 y))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 y))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 y))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 y))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 x))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 x))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 x))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 x))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 y) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (*.f64 y x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
1
(*.f64 -1 x)
(neg.f64 x)
x
(*.f64 -1 x)
(neg.f64 x)
x
(-.f64 1 x)
(+.f64 x 1)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 x (fma.f64 y (sqrt.f64 x) 1))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 x (fma.f64 y (sqrt.f64 x) 1))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 x (fma.f64 y (sqrt.f64 x) 1))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 x (fma.f64 y (sqrt.f64 x) 1))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 x (fma.f64 y (sqrt.f64 x) 1))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 x (fma.f64 y (sqrt.f64 x) 1))
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 x (fma.f64 y (sqrt.f64 x) 1))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 x (fma.f64 y (sqrt.f64 x) 1))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 x)))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 x (fma.f64 y (sqrt.f64 x) 1))

localize29.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (*.f64 y (sqrt.f64 x)))
0.2b
(*.f64 y (sqrt.f64 x))
✓6.9b
(*.f64 x (*.f64 y (neg.f64 y)))
✓12.6b
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
Compiler

Compiled 52 to 14 computations (73.1% saved)

series29.0ms (0.7%)

Counts
3 → 53
Calls

18 calls:

TimeVariablePointExpression
8.0ms
y
@-inf
(+.f64 x (*.f64 y (sqrt.f64 x)))
3.0ms
x
@inf
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
3.0ms
x
@-inf
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
2.0ms
x
@0
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
2.0ms
y
@0
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))

rewrite142.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
646×log-prod_binary64
535×fma-def_binary64
306×pow2_binary64
264×fma-neg_binary64
211×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01241
126733
2415833
Stop Event
1×node limit
Counts
3 → 252
Calls
Call 1
Inputs
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
(*.f64 x (*.f64 y (neg.f64 y)))
(+.f64 x (*.f64 y (sqrt.f64 x)))
Outputs
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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (*.f64 x (/.f64 1 (-.f64 1 (fma.f64 y (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 y y)) (/.f64 1 (-.f64 1 (fma.f64 y (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 y y)) (/.f64 1 (neg.f64 (-.f64 1 (fma.f64 y (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (-.f64 1 (fma.f64 y (sqrt.f64 x) x))) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (*.f64 y (sqrt.f64 x)) (/.f64 1 (-.f64 1 (fma.f64 y (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (-.f64 1 (fma.f64 y (sqrt.f64 x) x))) (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (fma.f64 y (sqrt.f64 x) x))) (*.f64 y y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 1 (fma.f64 y (sqrt.f64 x) x))) (*.f64 y y))) 2))))) (#(struct:change 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simplify88.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
486×times-frac_binary64
416×distribute-rgt-neg-in_binary64
366×distribute-lft-neg-in_binary64
314×div-sub_binary64
294×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061741
1204695
2752667
34615663
Stop Event
1×node limit
Counts
305 → 273
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(pow.f64 y 2)
(pow.f64 y 2)
(*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) x) (-.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) x) (-.f64 1 x))) (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) x) (-.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 2)) (pow.f64 (-.f64 1 x) 3))) (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) x) (-.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 2)) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 5) (pow.f64 (-.f64 1 x) 4)) (sqrt.f64 (pow.f64 x 5)))) (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3)))))))
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 -1 (-.f64 x 1)))
(+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (*.f64 -1 (-.f64 x 1)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))) (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))))
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 -1 (-.f64 x 1)))
(+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (*.f64 -1 (-.f64 x 1)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))) (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
x
x
x
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
Outputs
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(pow.f64 y 2)
(*.f64 y y)
(pow.f64 y 2)
(*.f64 y y)
(*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) x) (-.f64 1 x)))
(/.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (-.f64 1 x))
(/.f64 (*.f64 (*.f64 y y) (neg.f64 x)) (-.f64 1 x))
(*.f64 (/.f64 y (/.f64 (-.f64 1 x) y)) (neg.f64 x))
(/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) x) (-.f64 1 x))) (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3)))))
(fma.f64 -1 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 1 x)) (neg.f64 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3)))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 x)) (-.f64 1 x)) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3))))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (pow.f64 x 3/2) (*.f64 x (/.f64 y (/.f64 (-.f64 1 x) y)))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x))) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 3/2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) x) (-.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 2)) (pow.f64 (-.f64 1 x) 3))) (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3))))))
(fma.f64 -1 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 1 x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (*.f64 x x)) (pow.f64 (-.f64 1 x) 3)) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3))))))
(-.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (neg.f64 (sqrt.f64 (pow.f64 x 3)))) (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 (-.f64 1 x) 3)) (*.f64 x x))) (*.f64 (/.f64 (*.f64 y y) (-.f64 1 x)) x))
(neg.f64 (fma.f64 (/.f64 y (/.f64 (-.f64 1 x) y)) x (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (pow.f64 x 3/2) (/.f64 (*.f64 x (pow.f64 y 4)) (/.f64 (pow.f64 (-.f64 1 x) 3) x)))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x))) (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (pow.f64 x 3/2) (*.f64 (*.f64 x x) (/.f64 (pow.f64 y 4) (pow.f64 (-.f64 1 x) 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) x) (-.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 2)) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 5) (pow.f64 (-.f64 1 x) 4)) (sqrt.f64 (pow.f64 x 5)))) (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3)))))))
(fma.f64 -1 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 1 x)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 y 4) (*.f64 x x)) (pow.f64 (-.f64 1 x) 3)) (*.f64 -1 (+.f64 (*.f64 (/.f64 (pow.f64 y 5) (pow.f64 (-.f64 1 x) 4)) (sqrt.f64 (pow.f64 x 5))) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3)))))))
(-.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y 5) (pow.f64 (-.f64 1 x) 4)) (sqrt.f64 (pow.f64 x 5)) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (pow.f64 x 3))))) (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 (-.f64 1 x) 3)) (*.f64 x x))) (*.f64 (/.f64 (*.f64 y y) (-.f64 1 x)) x))
(-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y 5) (pow.f64 (-.f64 1 x) 4)) (pow.f64 x 5/2) (/.f64 (pow.f64 x 3/2) (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 y 3))))) (fma.f64 (/.f64 y (/.f64 (-.f64 1 x) y)) x (/.f64 (*.f64 x (pow.f64 y 4)) (/.f64 (pow.f64 (-.f64 1 x) 3) x))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 1 (/.f64 1 x))) (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 (-.f64 1 x) 3)) (*.f64 x x) (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 2)) (pow.f64 x 3/2) (/.f64 (pow.f64 y 5) (/.f64 (pow.f64 (-.f64 1 x) 4) (pow.f64 x 5/2))))))
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 -1 (-.f64 x 1)))
(fma.f64 y (sqrt.f64 x) (neg.f64 (+.f64 x -1)))
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x))))))
(fma.f64 y (sqrt.f64 x) (fma.f64 -1 (+.f64 x -1) (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)) y) (sqrt.f64 (/.f64 1 x))))))
(fma.f64 y (sqrt.f64 x) (fma.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 1 x))) (sqrt.f64 (/.f64 1 x)) (-.f64 1 x)))
(fma.f64 y (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) y) (-.f64 1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (*.f64 -1 (-.f64 x 1)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))) (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 y (sqrt.f64 x) (fma.f64 -1 (+.f64 x -1) (fma.f64 -1 (/.f64 (+.f64 x -1) (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 (-.f64 1 x) 2))) (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)) y) (sqrt.f64 (/.f64 1 x)))))))
(+.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) (fma.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 1 x))) (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 y (*.f64 y x)))))
(+.f64 (fma.f64 y (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) y) (-.f64 1 x))) (/.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 y (*.f64 y x))))
(fma.f64 y (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) y) (+.f64 (-.f64 1 x) (/.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (*.f64 y y) x)))))
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 -1 (-.f64 x 1)))
(fma.f64 y (sqrt.f64 x) (neg.f64 (+.f64 x -1)))
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x))))))
(fma.f64 y (sqrt.f64 x) (fma.f64 -1 (+.f64 x -1) (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)) y) (sqrt.f64 (/.f64 1 x))))))
(fma.f64 y (sqrt.f64 x) (fma.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 1 x))) (sqrt.f64 (/.f64 1 x)) (-.f64 1 x)))
(fma.f64 y (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) y) (-.f64 1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (*.f64 -1 (-.f64 x 1)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))) (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 y (sqrt.f64 x) (fma.f64 -1 (+.f64 x -1) (fma.f64 -1 (/.f64 (+.f64 x -1) (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 (-.f64 1 x) 2))) (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)) y) (sqrt.f64 (/.f64 1 x)))))))
(+.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) (fma.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 1 x))) (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 y (*.f64 y x)))))
(+.f64 (fma.f64 y (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) y) (-.f64 1 x))) (/.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 y (*.f64 y x))))
(fma.f64 y (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) y) (+.f64 (-.f64 1 x) (/.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (*.f64 y y) x)))))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 y (*.f64 x (neg.f64 y)))
x
x
x
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(fma.f64 y (sqrt.f64 x) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(fma.f64 y (sqrt.f64 x) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(fma.f64 y (sqrt.f64 x) x)
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(fma.f64 y (sqrt.f64 x) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(fma.f64 y (sqrt.f64 x) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(fma.f64 y (sqrt.f64 x) x)
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(fma.f64 y (sqrt.f64 x) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(fma.f64 y (sqrt.f64 x) x)
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(fma.f64 y (sqrt.f64 x) x)

eval203.0ms (4.8%)

Compiler

Compiled 9815 to 3890 computations (60.4% saved)

prune79.0ms (1.9%)

Pruning

17 alts after pruning (6 fresh and 11 done)

PrunedKeptTotal
New4916497
Fresh101
Picked011
Done01010
Total49217509
Error
0b
Counts
509 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
41.8b
1
✓0.1b
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
✓42.3b
(*.f64 y (sqrt.f64 x))
✓18.6b
(+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 y (*.f64 y x))))
62.2b
(*.f64 y y)
✓21.5b
(-.f64 1 x)
62.2b
(*.f64 y (*.f64 x (neg.f64 y)))
✓43.4b
(neg.f64 x)
✓0.1b
(fma.f64 (sqrt.f64 x) y (-.f64 1 x))
✓32.6b
(+.f64 (-.f64 1 x) (*.f64 (pow.f64 (pow.f64 (*.f64 x y) 1/4) 2) (sqrt.f64 y)))
✓56.7b
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
41.8b
(+.f64 x 1)
✓42.4b
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y))
61.9b
x
✓32.6b
(+.f64 (-.f64 1 x) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)))
42.4b
(*.f64 (pow.f64 x 1/4) (*.f64 (*.f64 (pow.f64 x 1/8) (pow.f64 x 1/8)) y))
✓42.6b
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
Compiler

Compiled 151 to 107 computations (29.1% saved)

regimes43.0ms (1%)

Counts
23 → 1
Calls
Call 1
Inputs
1
x
1
1
1
(neg.f64 x)
(*.f64 y y)
(+.f64 x 1)
(-.f64 1 x)
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 y (sqrt.f64 x))
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 y (*.f64 y x))))
(+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 x (*.f64 y y))))
(/.f64 (*.f64 x (*.f64 y (neg.f64 y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 x) y (-.f64 1 x))
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y))
(+.f64 (-.f64 1 x) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y))) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
(+.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3))
(*.f64 (pow.f64 x 1/4) (*.f64 (*.f64 (pow.f64 x 1/8) (pow.f64 x 1/8)) y))
(+.f64 (-.f64 1 x) (*.f64 (pow.f64 (pow.f64 (*.f64 x y) 1/4) 2) (sqrt.f64 y)))
Outputs
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
Calls

3 calls:

13.0ms
x
13.0ms
y
12.0ms
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 179 to 97 computations (45.8% saved)

regimes62.0ms (1.4%)

Counts
11 → 3
Calls
Call 1
Inputs
1
x
1
1
1
(neg.f64 x)
(*.f64 y y)
(+.f64 x 1)
(-.f64 1 x)
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 y (sqrt.f64 x))
Outputs
(*.f64 y (sqrt.f64 x))
(-.f64 1 x)
(*.f64 y (sqrt.f64 x))
Calls

2 calls:

39.0ms
x
20.0ms
y
Results
ErrorSegmentsBranch
19.8b3x
4.3b3y
Compiler

Compiled 34 to 21 computations (38.2% saved)

bsearch40.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
3.123782730633012e+77
1.7252338462286399e+84
20.0ms
-2.605166461012369e+45
-1.5641183739573603e+44
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes16.0ms (0.4%)

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

2 calls:

7.0ms
y
6.0ms
x
Results
ErrorSegmentsBranch
21.5b1x
21.5b1y
Compiler

Compiled 30 to 19 computations (36.7% saved)

regimes49.0ms (1.1%)

Counts
8 → 2
Calls
Call 1
Inputs
1
x
1
1
1
(neg.f64 x)
(*.f64 y y)
(+.f64 x 1)
Outputs
1
(neg.f64 x)
Calls

2 calls:

34.0ms
y
12.0ms
x
Results
ErrorSegmentsBranch
22.5b2x
37.4b7y
Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch19.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
19.0ms
0.6303804121821789
21.0369133977723
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes12.0ms (0.3%)

Accuracy

Total -20.3b remaining (-48.4%)

Threshold costs -20.3b (-48.4%)

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

2 calls:

5.0ms
y
5.0ms
x
Results
ErrorSegmentsBranch
41.8b1x
41.8b1y
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×+-commutative_binary64
2×*-commutative_binary64
2×sub-neg_binary64
1×neg-sub0_binary64
1×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01955
12755
23055
33155
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 y -2605166461012369103338405048516748583272185856) (*.f64 y (sqrt.f64 x)) (if (<=.f64 y 312378273063301194376861275072977315078731093290828190504931025691247051276288) (-.f64 1 x) (*.f64 y (sqrt.f64 x))))
(-.f64 1 x)
(if (<=.f64 x 5677961978810641/9007199254740992) 1 (neg.f64 x))
1
Outputs
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 y -2605166461012369103338405048516748583272185856) (*.f64 y (sqrt.f64 x)) (if (<=.f64 y 312378273063301194376861275072977315078731093290828190504931025691247051276288) (-.f64 1 x) (*.f64 y (sqrt.f64 x))))
(-.f64 1 x)
(if (<=.f64 x 5677961978810641/9007199254740992) 1 (neg.f64 x))
1
Compiler

Compiled 48 to 33 computations (31.3% saved)

soundness0.0ms (0%)

end53.0ms (1.2%)

Compiler

Compiled 40 to 23 computations (42.5% saved)

Profiling

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