Details

Time bar (total: 4.7s)

analyze90.0ms (1.9%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%74.9%25.1%4
12.5%62.4%25.1%5
18.7%43.7%37.6%6
28.1%34.3%37.6%7
32.8%23.4%43.8%8
36.7%18.3%45%9
39.4%12.3%48.3%10
41.6%9.5%49%11
43%6.3%50.7%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.2s (24.6%)

Results
1.1s8255×body256valid
48.0ms454×body256invalid
0.0ms1×body512valid

preprocess44.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
262×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
559320
697720
7114520
8120520
9121720
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)

simplify14.0ms (0.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
11610
23710
37210
415010
531210
650210
762610
870810
972210
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)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series15.0ms (0.3%)

Counts
2 → 15
Calls

12 calls:

TimeVariablePointExpression
1.0ms
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))

rewrite54.0ms (1.1%)

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
2242016
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 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 expm1.f64 (log1p.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 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)))))) (#(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 expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))))

simplify22.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
011113
121113
232113
354113
488113
5148113
6284113
7438113
8614113
9752113
10844113
11850113
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))

eval16.0ms (0.3%)

Compiler

Compiled 799 to 397 computations (50.3% saved)

prune20.0ms (0.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New451257
Fresh000
Picked011
Done000
Total451358
Error
0.0b
Counts
58 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
0.8b
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 3)
0.8b
(*.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))))
▶0.4b
(+.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3))
▶27.3b
(/.f64 (-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))
▶44.7b
(*.f64 y (sqrt.f64 x))
✓0.1b
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
▶40.1b
(neg.f64 x)
▶19.0b
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 1 x))
41.7b
1
30.6b
(/.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))))
21.3b
(+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 x (*.f64 y y))))
30.6b
(/.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))))))
18.6b
(-.f64 1 x)
Compiler

Compiled 379 to 240 computations (36.7% saved)

localize16.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
4.0b
(cbrt.f64 (*.f64 y (sqrt.f64 x)))
0.7b
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
0.2b
(*.f64 y (sqrt.f64 x))
0.0b
(+.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3))
✓0.0b
(+.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3))
0.2b
(*.f64 y (sqrt.f64 x))
✓0.7b
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
✓4.0b
(cbrt.f64 (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 38 to 16 computations (57.9% saved)

series56.0ms (1.2%)

Counts
3 → 39
Calls

18 calls:

TimeVariablePointExpression
26.0ms
x
@0
(cbrt.f64 (*.f64 y (sqrt.f64 x)))
8.0ms
x
@inf
(cbrt.f64 (*.f64 y (sqrt.f64 x)))
5.0ms
y
@inf
(cbrt.f64 (*.f64 y (sqrt.f64 x)))
3.0ms
y
@0
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
2.0ms
x
@-inf
(cbrt.f64 (*.f64 y (sqrt.f64 x)))

rewrite71.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
495×fma-def_binary64
479×log-prod_binary64
353×pow-prod-down_binary64
345×exp-prod_binary64
268×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01126
124324
2294324
Stop Event
1×node limit
Counts
3 → 158
Calls
Call 1
Inputs
(cbrt.f64 (*.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))
Outputs
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(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 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 (*.f64 y (sqrt.f64 x)) 1 (-.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 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 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 y) (*.f64 (pow.f64 x 1/6) (cbrt.f64 (*.f64 x (*.f64 y y)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (sqrt.f64 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (pow.f64 x 1/6) y) (-.f64 1 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 (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 y) (pow.f64 (*.f64 y x) 1/2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 1/6) (pow.f64 (*.f64 y (sqrt.f64 x)) 5/6) (-.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 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 1) 1)) (*.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 (pow.f64 (*.f64 y (sqrt.f64 x)) 5/6) (pow.f64 (*.f64 y (sqrt.f64 x)) 1/6) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x 1/6) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x y) 1/2) (sqrt.f64 y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 1) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) (cbrt.f64 y)) (pow.f64 x 1/6) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) (-.f64 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 expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))))

simplify81.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
642×fma-def_binary64
508×unswap-sqr_binary64
477×fma-neg_binary64
442×cube-prod_binary64
402×sqr-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035315
1100295
2221295
3519295
41608295
53572295
65226295
75834295
86374295
97007295
Stop Event
1×node limit
Counts
197 → 170
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)))
(+.f64 (*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x))) 1)
(+.f64 1 (+.f64 (*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x))) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x))) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x))) (*.f64 -1 x)))
(*.f64 -1 x)
(+.f64 (*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x))) (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x))) (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x))) (+.f64 1 (*.f64 -1 x)))
(*.f64 -1 x)
(+.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x))) (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x))) (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x))) (+.f64 1 (*.f64 -1 x)))
(-.f64 1 x)
(-.f64 1 x)
(-.f64 1 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 (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 (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 (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 (cbrt.f64 y) (pow.f64 x 1/6))
(*.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 y (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (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 y (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x))) 1)
(+.f64 1 (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) 1)
(+.f64 1 (+.f64 (*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x))) (*.f64 -1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 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 1 1/6) (*.f64 y (sqrt.f64 x))) (*.f64 -1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 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 1 1/6) (*.f64 y (sqrt.f64 x))) (*.f64 -1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x))) (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 (*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x))) (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 (*.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 x))) (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x))) (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x))) (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(+.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 x))) (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 1 x)
(-.f64 1 x)
(-.f64 1 x)

localize4.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 10 to 4 computations (60% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize26.0ms (0.5%)

Local error

Found 8 expressions with local error:

NewErrorProgram
9.0b
(*.f64 x (*.f64 y y))
5.6b
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
0.2b
(*.f64 y (sqrt.f64 x))
0.0b
(pow.f64 (-.f64 1 x) 2)
0.2b
(*.f64 y (sqrt.f64 x))
✓5.6b
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
✓9.0b
(*.f64 x (*.f64 y y))
✓21.0b
(/.f64 (-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))
Compiler

Compiled 67 to 31 computations (53.7% saved)

series23.0ms (0.5%)

Counts
3 → 63
Calls

18 calls:

TimeVariablePointExpression
10.0ms
x
@0
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
2.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))
2.0ms
x
@0
(/.f64 (-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))
1.0ms
y
@0
(/.f64 (-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))

rewrite105.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
809×fma-def_binary64
787×log-prod_binary64
457×fma-neg_binary64
262×expm1-udef_binary64
262×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01453
132233
2470733
Stop Event
1×node limit
Counts
3 → 245
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))
(*.f64 x (*.f64 y y))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
Outputs
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simplify58.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
387×div-sub_binary64
361×sub-neg_binary64
344×fma-def_binary64
243×associate-/l*_binary64
236×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
097843
1321807
21050786
35436784
Stop Event
1×node limit
Counts
308 → 279
Calls
Call 1
Inputs
1
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 x 1)))
(+.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 x 1) 2)) (sqrt.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 x 1))))
(+.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 x 1) 2)) (sqrt.f64 x)) (+.f64 (*.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) x) (pow.f64 (-.f64 x 1) 3))) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 x 1)))))
(+.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 x 1) 2)) (sqrt.f64 x)) (+.f64 (*.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) x) (pow.f64 (-.f64 x 1) 3))) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 x 1))) (*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 (*.f64 x (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 x 1) 3)))) (-.f64 x 1)) (sqrt.f64 x))))))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 y (sqrt.f64 x)) 1)) (+.f64 x (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (-.f64 1 x) 2))) (*.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (sqrt.f64 (/.f64 1 x))))) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x))))))) (+.f64 x (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (sqrt.f64 (/.f64 1 x))))) y)))) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (-.f64 1 x) 2)) (*.f64 -1 (*.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (sqrt.f64 (/.f64 1 x))))) (-.f64 x 1)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (sqrt.f64 (/.f64 1 x))))) y))))) 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 (*.f64 (+.f64 2 (pow.f64 y 2)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x)) 1)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x)) 1)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) 2) x)) (*.f64 -1 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) 2) x)) (*.f64 -1 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) 2) x)) (*.f64 -1 (pow.f64 x 2))) 1)
(*.f64 -1 (pow.f64 (-.f64 1 x) 2))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(*.f64 (pow.f64 y 2) x)
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(*.f64 (pow.f64 y 2) x)
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
Outputs
1
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 x 1)))
(/.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)) (+.f64 x -1))
(/.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)) (+.f64 -1 x))
(+.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 x 1) 2)) (sqrt.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 x 1))))
(fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) y) (pow.f64 (+.f64 x -1) 2)) (sqrt.f64 x) (/.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)) (+.f64 x -1)))
(-.f64 (*.f64 (*.f64 (/.f64 y (pow.f64 (+.f64 -1 x) 2)) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 -1 x)))
(-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 y (pow.f64 (+.f64 -1 x) 2))) (sqrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 -1 x)))
(-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 y (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 -1 x)))
(+.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 x 1) 2)) (sqrt.f64 x)) (+.f64 (*.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) x) (pow.f64 (-.f64 x 1) 3))) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 x 1)))))
(fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) y) (pow.f64 (+.f64 x -1) 2)) (sqrt.f64 x) (fma.f64 (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 (*.f64 x (pow.f64 (-.f64 1 x) 2)) (pow.f64 (+.f64 x -1) 3))) (*.f64 y y) (/.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)) (+.f64 x -1))))
(fma.f64 (*.f64 (/.f64 y (pow.f64 (+.f64 -1 x) 2)) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 x) (-.f64 (*.f64 (-.f64 (/.f64 x (+.f64 -1 x)) (*.f64 (/.f64 x (pow.f64 (+.f64 -1 x) 3)) (pow.f64 (-.f64 1 x) 2))) (*.f64 y y)) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 -1 x))))
(-.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 y (pow.f64 (+.f64 -1 x) 2))) (sqrt.f64 x) (*.f64 (-.f64 (/.f64 x (+.f64 -1 x)) (*.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 x (pow.f64 (+.f64 -1 x) 3)))) (*.f64 y y))) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 -1 x)))
(-.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 y (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 x) (*.f64 (-.f64 (/.f64 x (+.f64 -1 x)) (*.f64 x (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 3)))) (*.f64 y y))) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 -1 x)))
(+.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 x 1) 2)) (sqrt.f64 x)) (+.f64 (*.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) x) (pow.f64 (-.f64 x 1) 3))) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 x 1))) (*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 (*.f64 x (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 x 1) 3)))) (-.f64 x 1)) (sqrt.f64 x))))))
(fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) y) (pow.f64 (+.f64 x -1) 2)) (sqrt.f64 x) (fma.f64 (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 (*.f64 x (pow.f64 (-.f64 1 x) 2)) (pow.f64 (+.f64 x -1) 3))) (*.f64 y y) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 x -1)) (*.f64 (sqrt.f64 x) (/.f64 (pow.f64 y 3) (/.f64 (+.f64 x -1) (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 (*.f64 x (pow.f64 (-.f64 1 x) 2)) (pow.f64 (+.f64 x -1) 3))))))))))
(fma.f64 (*.f64 (/.f64 y (pow.f64 (+.f64 -1 x) 2)) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 x) (-.f64 (-.f64 (*.f64 (-.f64 (/.f64 x (+.f64 -1 x)) (*.f64 (/.f64 x (pow.f64 (+.f64 -1 x) 3)) (pow.f64 (-.f64 1 x) 2))) (*.f64 y y)) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 -1 x))) (*.f64 (sqrt.f64 x) (*.f64 (/.f64 (pow.f64 y 3) (+.f64 -1 x)) (-.f64 (/.f64 x (+.f64 -1 x)) (*.f64 (/.f64 x (pow.f64 (+.f64 -1 x) 3)) (pow.f64 (-.f64 1 x) 2)))))))
(fma.f64 y (*.f64 y (-.f64 (/.f64 x (+.f64 -1 x)) (*.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 x (pow.f64 (+.f64 -1 x) 3))))) (-.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (/.f64 (pow.f64 y 3) (+.f64 -1 x)) (neg.f64 (-.f64 (/.f64 x (+.f64 -1 x)) (*.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 x (pow.f64 (+.f64 -1 x) 3)))))) (*.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 y (pow.f64 (+.f64 -1 x) 2))))) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 -1 x))))
(fma.f64 y (*.f64 y (-.f64 (/.f64 x (+.f64 -1 x)) (*.f64 x (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 3))))) (-.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (/.f64 (pow.f64 y 3) (+.f64 -1 x)) (-.f64 (*.f64 x (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 3))) (/.f64 x (+.f64 -1 x)))) (*.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 y (pow.f64 (-.f64 1 x) 2))))) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.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 -1 (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 y (sqrt.f64 x)) 1)) (+.f64 x (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (-.f64 1 x) 2))) (*.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (sqrt.f64 (/.f64 1 x))))) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x))))))) (+.f64 x (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 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)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (sqrt.f64 (/.f64 1 x))))) y)))) 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)) (+.f64 1 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (-.f64 1 x) 2)) (*.f64 -1 (*.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (sqrt.f64 (/.f64 1 x))))) (-.f64 x 1)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (sqrt.f64 (/.f64 1 x))))) y))))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
-1
(-.f64 (*.f64 (+.f64 2 (pow.f64 y 2)) x) 1)
(fma.f64 (+.f64 2 (*.f64 y y)) x -1)
(fma.f64 x (fma.f64 y y 2) -1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 (+.f64 2 (*.f64 y y)) x -1))
(fma.f64 -1 (*.f64 x x) (fma.f64 x (fma.f64 y y 2) -1))
(+.f64 -1 (*.f64 x (-.f64 (fma.f64 y y 2) x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 (+.f64 2 (*.f64 y y)) x -1))
(fma.f64 -1 (*.f64 x x) (fma.f64 x (fma.f64 y y 2) -1))
(+.f64 -1 (*.f64 x (-.f64 (fma.f64 y y 2) x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x))
(fma.f64 -1 (*.f64 x x) (*.f64 x (+.f64 2 (*.f64 y y))))
(fma.f64 x (fma.f64 y y 2) (*.f64 x (neg.f64 x)))
(*.f64 x (-.f64 (fma.f64 y y 2) x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 (+.f64 2 (*.f64 y y)) x -1))
(fma.f64 -1 (*.f64 x x) (fma.f64 x (fma.f64 y y 2) -1))
(+.f64 -1 (*.f64 x (-.f64 (fma.f64 y y 2) x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 (+.f64 2 (*.f64 y y)) x -1))
(fma.f64 -1 (*.f64 x x) (fma.f64 x (fma.f64 y y 2) -1))
(+.f64 -1 (*.f64 x (-.f64 (fma.f64 y y 2) x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) 2) x)) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 x (+.f64 2 (*.f64 y y))))
(fma.f64 x (fma.f64 y y 2) (*.f64 x (neg.f64 x)))
(*.f64 x (-.f64 (fma.f64 y y 2) x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) 2) x)) (*.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 (+.f64 2 (*.f64 y y)) x -1))
(fma.f64 -1 (*.f64 x x) (fma.f64 x (fma.f64 y y 2) -1))
(+.f64 -1 (*.f64 x (-.f64 (fma.f64 y y 2) x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) 2) x)) (*.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 (+.f64 2 (*.f64 y y)) x -1))
(fma.f64 -1 (*.f64 x x) (fma.f64 x (fma.f64 y y 2) -1))
(+.f64 -1 (*.f64 x (-.f64 (fma.f64 y y 2) x)))
(*.f64 -1 (pow.f64 (-.f64 1 x) 2))
(neg.f64 (pow.f64 (-.f64 1 x) 2))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(fma.f64 -1 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(fma.f64 -1 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(fma.f64 -1 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(fma.f64 -1 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(fma.f64 -1 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(fma.f64 -1 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(fma.f64 -1 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(fma.f64 -1 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(fma.f64 -1 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))

localize19.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
9.0b
(*.f64 x (*.f64 y y))
4.0b
(cbrt.f64 (*.f64 y (sqrt.f64 x)))
0.2b
(*.f64 y (sqrt.f64 x))
0.1b
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 1 x))
0.2b
(*.f64 y (sqrt.f64 x))
4.0b
(cbrt.f64 (*.f64 y (sqrt.f64 x)))
9.0b
(*.f64 x (*.f64 y y))
✓28.9b
(cbrt.f64 (*.f64 x (*.f64 y y)))
Compiler

Compiled 48 to 14 computations (70.8% saved)

series5.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

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

rewrite37.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
532×pow1_binary64
507×add-sqr-sqrt_binary64
492×add-log-exp_binary64
492×log1p-expm1-u_binary64
492×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11199
214099
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 x (*.f64 y y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 y 4))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 1/3) (pow.f64 (*.f64 y (sqrt.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x y) 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 y y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))))))))

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
22 → 22
Calls
Call 1
Inputs
Outputs

eval281.0ms (5.9%)

Compiler

Compiled 12321 to 6218 computations (49.5% saved)

prune155.0ms (3.3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New5689577
Fresh527
Picked101
Done235
Total57614590
Error
0b
Counts
590 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓44.7b
(*.f64 y (sqrt.f64 x))
▶45.0b
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
▶22.6b
(/.f64 (fma.f64 y (*.f64 x y) (neg.f64 (pow.f64 (-.f64 1 x) 2))) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))
▶33.5b
(+.f64 (-.f64 1 x) (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 y x) 1/2)))
✓0.1b
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
✓40.1b
(neg.f64 x)
61.2b
(sqrt.f64 (*.f64 x (*.f64 y y)))
0.3b
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (-.f64 1 x))
41.7b
1
19.0b
(+.f64 (-.f64 1 x) (*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (*.f64 y y)))))
49.0b
(/.f64 (*.f64 x (-.f64 (fma.f64 y y 2) x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))
▶0.1b
(+.f64 (-.f64 1 x) (*.f64 (*.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4)))
0.8b
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 3)
▶18.6b
(-.f64 1 x)
Compiler

Compiled 293 to 205 computations (30% saved)

localize30.0ms (0.6%)

Local error

Found 6 expressions with local error:

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

Compiled 39 to 26 computations (33.3% saved)

series77.0ms (1.6%)

Counts
3 → 51
Calls

18 calls:

TimeVariablePointExpression
36.0ms
x
@-inf
(*.f64 y (pow.f64 x 1/4))
24.0ms
y
@0
(*.f64 y (pow.f64 x 1/4))
9.0ms
x
@0
(*.f64 y (pow.f64 x 1/4))
1.0ms
y
@0
(*.f64 (*.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4))
1.0ms
x
@inf
(*.f64 y (pow.f64 x 1/4))

rewrite66.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
510×log-prod_binary64
443×fma-def_binary64
357×pow-prod-down_binary64
282×pow2_binary64
194×pow-to-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01039
122323
2300123
Stop Event
1×node limit
Counts
3 → 116
Calls
Call 1
Inputs
(*.f64 (*.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4))
(*.f64 y (pow.f64 x 1/4))
(+.f64 (-.f64 1 x) (*.f64 (*.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4)))
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 (exp.f64 (*.f64 y (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 y (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (*.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 pow.f64 (*.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) x) 1/2)))) (#(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 (*.f64 (pow.f64 x 1/4) (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.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 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 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 (*.f64 3 (log.f64 (*.f64 y (sqrt.f64 x)))) 1/3))))) (#(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 expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x 1/4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x 1/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 x 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (pow.f64 x 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y (sqrt.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/4) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 1/12) (cbrt.f64 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 log.f64 (+.f64 1 (expm1.f64 (*.f64 y (pow.f64 x 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/4) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (pow.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 1/4 (log.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 1/4 (log.f64 x) (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/4) (pow.f64 y 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 1/12) (cbrt.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) (pow.f64 x 1/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 1/4 (log.f64 x) (log.f64 y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (pow.f64 x 1/4))))))))
((#(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 (*.f64 y y) x) (-.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 y 3) (pow.f64 x 3/2) (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 (*.f64 y y) x)) (/.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 y 3) (pow.f64 x 3/2) (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 (*.f64 y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 y 3) (pow.f64 x 3/2) (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 y 3) (pow.f64 x 3/2) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (*.f64 y y) x (-.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 (*.f64 y y) x)) (-.f64 1 (+.f64 x (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 y 3) (pow.f64 x 3/2) (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 (*.f64 y y) x))) (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 (*.f64 y y) x) (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 (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 y 3) (pow.f64 x 3/2) (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 (*.f64 y y) x))) -1)))) (#(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 (exp.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 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))) (exp.f64 (*.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 fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 y (pow.f64 x 1/4)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4) (-.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 (sqrt.f64 x)) (*.f64 (pow.f64 x 1/12) (*.f64 y (pow.f64 x 1/4))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (sqrt.f64 x)) (-.f64 1 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 (sqrt.f64 x)))) (*.f64 (*.f64 (pow.f64 x 1/12) (cbrt.f64 y)) (pow.f64 x 1/4)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 (*.f64 y y) x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 y y) x)) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (pow.f64 (*.f64 y x) 1/2) (-.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 (*.f64 (sqrt.f64 y) (pow.f64 x 1/8)) (*.f64 (*.f64 (sqrt.f64 y) (pow.f64 x 1/8)) (pow.f64 x 1/4)) (-.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 (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 (fma.f64 x (+.f64 x 1) 1)) (*.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 (pow.f64 x 1/8) (*.f64 (pow.f64 x 1/8) (*.f64 y (pow.f64 x 1/4))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 1/4) (cbrt.f64 (*.f64 y (*.f64 y (sqrt.f64 x))))) (*.f64 (pow.f64 x 1/12) (cbrt.f64 y)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 1/4) (*.f64 (sqrt.f64 y) (pow.f64 x 1/8))) (*.f64 (sqrt.f64 y) (pow.f64 x 1/8)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (pow.f64 x 1/4)) (cbrt.f64 (sqrt.f64 x))) (pow.f64 x 1/12) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/8)) (pow.f64 x 1/8) (-.f64 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 (log1p.f64 (fma.f64 -1 x (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (fma.f64 -1 x (*.f64 y (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (fma.f64 -1 x (*.f64 y (sqrt.f64 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 (log1p.f64 (fma.f64 -1 x (*.f64 y (sqrt.f64 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))))

simplify57.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
774×fma-neg_binary64
694×div-sub_binary64
411×times-frac_binary64
302×fma-def_binary64
232×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023353
157353
2123353
3265353
4686353
51872353
65599353
Stop Event
1×node limit
Counts
167 → 125
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 (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)
(*.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)
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
(*.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 (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))
(*.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))
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))

localize5.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize22.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
12.5b
(pow.f64 (*.f64 y x) 1/2)
0.2b
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 y x) 1/2))
✓0.2b
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 y x) 1/2))
✓12.5b
(pow.f64 (*.f64 y x) 1/2)
Compiler

Compiled 39 to 19 computations (51.3% saved)

series8.0ms (0.2%)

Counts
2 → 12
Calls

12 calls:

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

rewrite65.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
116612
2186312
Stop Event
1×node limit
Counts
2 → 34
Calls
Call 1
Inputs
(pow.f64 (*.f64 y x) 1/2)
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 y x) 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y x)) 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 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/4) (*.f64 (pow.f64 y 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y x) 1/4) (pow.f64 (*.f64 y x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 y x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y x))))))))
((#(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 (*.f64 y (*.f64 y x)) 1/2)))) (#(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 (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 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) 3/2) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3/2) (pow.f64 (*.f64 y x) 3/2)))))) (#(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 expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))))))

simplify46.0ms (1%)

Algorithm
1×egg-herbie
Rules
899×fma-def_binary64
446×cube-prod_binary64
393×distribute-rgt-neg-in_binary64
388×fma-neg_binary64
335×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01272
12572
26672
317172
470972
5152272
6250972
7365572
8474572
9650272
Stop Event
1×unsound
Counts
46 → 36
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)))
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))

localize12.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
4.0b
(cbrt.f64 (*.f64 y (sqrt.f64 x)))
0.7b
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
0.2b
(*.f64 y (sqrt.f64 x))
0.2b
(*.f64 y (sqrt.f64 x))
0.7b
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
4.0b
(cbrt.f64 (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 23 to 8 computations (65.2% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize48.0ms (1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
21.0b
(/.f64 (fma.f64 y (*.f64 x y) (neg.f64 (pow.f64 (-.f64 1 x) 2))) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))
4.5b
(fma.f64 y (*.f64 x y) (neg.f64 (pow.f64 (-.f64 1 x) 2)))
0.2b
(*.f64 y (sqrt.f64 x))
0.0b
(pow.f64 (-.f64 1 x) 2)
✓0.0b
(pow.f64 (-.f64 1 x) 2)
0.2b
(*.f64 y (sqrt.f64 x))
✓4.5b
(fma.f64 y (*.f64 x y) (neg.f64 (pow.f64 (-.f64 1 x) 2)))
✓21.0b
(/.f64 (fma.f64 y (*.f64 x y) (neg.f64 (pow.f64 (-.f64 1 x) 2))) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))
Compiler

Compiled 68 to 37 computations (45.6% saved)

series8.0ms (0.2%)

Counts
3 → 51
Calls

15 calls:

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

rewrite108.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
678×log-prod_binary64
541×fma-def_binary64
353×pow2_binary64
280×fma-neg_binary64
246×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01453
130931
2421431
Stop Event
1×node limit
Counts
3 → 174
Calls
Call 1
Inputs
(/.f64 (fma.f64 y (*.f64 x y) (neg.f64 (pow.f64 (-.f64 1 x) 2))) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))
(fma.f64 y (*.f64 x y) (neg.f64 (pow.f64 (-.f64 1 x) 2)))
(pow.f64 (-.f64 1 x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) 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 (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 (fma.f64 y (*.f64 y x) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) -1))))))) (#(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 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y x) (pow.f64 (-.f64 1 x) 2))) 2) (*.f64 (cbrt.f64 (fma.f64 y (*.f64 y x) (pow.f64 (-.f64 1 x) 2))) (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(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 (hypot.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) (*.f64 (hypot.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 y (*.f64 y x) (pow.f64 (-.f64 1 x) 2))) (/.f64 1 (neg.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (fma.f64 y (*.f64 y x) (pow.f64 (-.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y x) (pow.f64 (-.f64 1 x) 2))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y (*.f64 y x) (pow.f64 (-.f64 1 x) 2))) (+.f64 x (fma.f64 y (sqrt.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) 1) (/.f64 (hypot.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) (+.f64 x (fma.f64 y (sqrt.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) 2)) (/.f64 (fma.f64 y (*.f64 y x) (pow.f64 (-.f64 1 x) 2)) (cbrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y x) (pow.f64 (-.f64 1 x) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) 2)) (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) 2)) (/.f64 (hypot.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) (cbrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))) (/.f64 (fma.f64 y (*.f64 y x) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y x) (pow.f64 (-.f64 1 x) 2))) 2) (sqrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))) (/.f64 (cbrt.f64 (fma.f64 y (*.f64 y x) (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y (*.f64 y x) (pow.f64 (-.f64 1 x) 2)) (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3) (pow.f64 (-.f64 1 x) 3))) (fma.f64 (-.f64 1 x) (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) (*.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y (*.f64 y x) (pow.f64 (-.f64 1 x) 2)) (fma.f64 y (*.f64 y x) (pow.f64 (-.f64 1 x) 2))) (-.f64 (fma.f64 y (sqrt.f64 x) 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 (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 1 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 y (*.f64 y x) (pow.f64 (-.f64 1 x) 2)) 3) (pow.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 y (*.f64 y x) (pow.f64 (-.f64 1 x) 2)) (neg.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(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 (pow.f64 (exp.f64 (sqrt.f64 x)) y) (exp.f64 (-.f64 1 x))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 -1) (-.f64 1 x) (*.f64 (neg.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 -1) (-.f64 1 x) (*.f64 (-.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (*.f64 (neg.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (*.f64 (-.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 x) 2)))))))

simplify54.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
387×div-sub_binary64
359×fma-def_binary64
356×sub-neg_binary64
243×associate-/l*_binary64
235×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0102773
1331727
21073694
35467692
Stop Event
1×node limit
Counts
225 → 214
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 x 1)))
(+.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 x 1) 2)) (sqrt.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 x 1))))
(+.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 x 1) 2)) (sqrt.f64 x)) (+.f64 (*.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) x) (pow.f64 (-.f64 x 1) 3))) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 x 1)))))
(+.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 x 1) 2)) (sqrt.f64 x)) (+.f64 (*.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) x) (pow.f64 (-.f64 x 1) 3))) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 x 1))) (*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 (*.f64 x (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 x 1) 3)))) (-.f64 x 1)) (sqrt.f64 x))))))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 y (sqrt.f64 x)) 1)) (+.f64 x (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (-.f64 1 x) 2))) (*.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (sqrt.f64 (/.f64 1 x))))) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x))))))) (+.f64 x (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (sqrt.f64 (/.f64 1 x))))) y)))) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (-.f64 1 x) 2)) (*.f64 -1 (*.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (sqrt.f64 (/.f64 1 x))))) (-.f64 x 1)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (sqrt.f64 (/.f64 1 x))))) y))))) x)
1
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 (pow.f64 (-.f64 1 x) 2))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(*.f64 (pow.f64 y 2) x)
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(*.f64 (pow.f64 y 2) x)
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
-1
(-.f64 (*.f64 (+.f64 2 (pow.f64 y 2)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x)) 1)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x)) 1)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) 2) x)) (*.f64 -1 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) 2) x)) (*.f64 -1 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) 2) x)) (*.f64 -1 (pow.f64 x 2))) 1)
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -2 x) (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -2 x) (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
Outputs
(*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 x 1)))
(/.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)) (+.f64 x -1))
(/.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)) (+.f64 -1 x))
(+.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 x 1) 2)) (sqrt.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 x 1))))
(fma.f64 (/.f64 y (/.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 x) (/.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)) (+.f64 x -1)))
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) y) (/.f64 (pow.f64 (+.f64 -1 x) 2) (sqrt.f64 x))) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 -1 x)))
(-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 y (pow.f64 (+.f64 -1 x) 2))) (sqrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 -1 x)))
(-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 y (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 -1 x)))
(+.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 x 1) 2)) (sqrt.f64 x)) (+.f64 (*.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) x) (pow.f64 (-.f64 x 1) 3))) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 x 1)))))
(fma.f64 (/.f64 y (/.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 x) (fma.f64 (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 x (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (-.f64 1 x) 2)))) (*.f64 y y) (/.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)) (+.f64 x -1))))
(-.f64 (fma.f64 (*.f64 (/.f64 y (pow.f64 (+.f64 -1 x) 2)) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 x) (*.f64 (-.f64 (/.f64 x (+.f64 -1 x)) (/.f64 x (/.f64 (pow.f64 (+.f64 -1 x) 3) (pow.f64 (-.f64 1 x) 2)))) (*.f64 y y))) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 -1 x)))
(fma.f64 y (*.f64 y (-.f64 (/.f64 x (+.f64 -1 x)) (*.f64 x (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 3))))) (-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 y (pow.f64 (+.f64 -1 x) 2))) (sqrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 -1 x))))
(fma.f64 (-.f64 (/.f64 x (+.f64 -1 x)) (*.f64 x (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 3)))) (*.f64 y y) (-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 y (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 -1 x))))
(+.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 x 1) 2)) (sqrt.f64 x)) (+.f64 (*.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) x) (pow.f64 (-.f64 x 1) 3))) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 x 1))) (*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 (*.f64 x (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 x 1) 3)))) (-.f64 x 1)) (sqrt.f64 x))))))
(fma.f64 (/.f64 y (/.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 x) (fma.f64 (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 x (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (-.f64 1 x) 2)))) (*.f64 y y) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 x -1)) (*.f64 (sqrt.f64 x) (/.f64 (*.f64 (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 x (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (-.f64 1 x) 2)))) (pow.f64 y 3)) (+.f64 x -1)))))))
(fma.f64 (*.f64 (/.f64 y (pow.f64 (+.f64 -1 x) 2)) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 x) (-.f64 (-.f64 (*.f64 (-.f64 (/.f64 x (+.f64 -1 x)) (/.f64 x (/.f64 (pow.f64 (+.f64 -1 x) 3) (pow.f64 (-.f64 1 x) 2)))) (*.f64 y y)) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 -1 x))) (*.f64 (sqrt.f64 x) (*.f64 (/.f64 (pow.f64 y 3) (+.f64 -1 x)) (-.f64 (/.f64 x (+.f64 -1 x)) (/.f64 x (/.f64 (pow.f64 (+.f64 -1 x) 3) (pow.f64 (-.f64 1 x) 2))))))))
(fma.f64 y (*.f64 y (-.f64 (/.f64 x (+.f64 -1 x)) (*.f64 x (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 3))))) (-.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 y 3) (+.f64 -1 x))) (-.f64 (/.f64 x (+.f64 -1 x)) (*.f64 x (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 3))))) (*.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 y (pow.f64 (+.f64 -1 x) 2))))) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 -1 x))))
(fma.f64 y (*.f64 y (-.f64 (/.f64 x (+.f64 -1 x)) (*.f64 x (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 3))))) (-.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (/.f64 (pow.f64 y 3) (+.f64 -1 x)) (-.f64 (*.f64 x (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 3))) (/.f64 x (+.f64 -1 x)))) (*.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 y (pow.f64 (-.f64 1 x) 2))))) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.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)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 y (sqrt.f64 x)) 1)) (+.f64 x (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (-.f64 1 x) 2))) (*.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (sqrt.f64 (/.f64 1 x))))) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x))))))) (+.f64 x (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (fma.f64 y (sqrt.f64 x) 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)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (sqrt.f64 (/.f64 1 x))))) y)))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (-.f64 1 x) 2)) (*.f64 -1 (*.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (sqrt.f64 (/.f64 1 x))))) (-.f64 x 1)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (sqrt.f64 (/.f64 1 x))))) y))))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
1
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 (pow.f64 (-.f64 1 x) 2))
(neg.f64 (pow.f64 (-.f64 1 x) 2))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(fma.f64 -1 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(fma.f64 -1 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(fma.f64 -1 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(fma.f64 -1 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(fma.f64 -1 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(fma.f64 -1 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
(*.f64 (pow.f64 y 2) x)
(*.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(fma.f64 -1 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(fma.f64 -1 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
(+.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 y 2) x))
(fma.f64 -1 (pow.f64 (-.f64 1 x) 2) (*.f64 x (*.f64 y y)))
(-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))
-1
(-.f64 (*.f64 (+.f64 2 (pow.f64 y 2)) x) 1)
(fma.f64 (+.f64 2 (*.f64 y y)) x -1)
(fma.f64 x (fma.f64 y y 2) -1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 (+.f64 2 (*.f64 y y)) x -1))
(fma.f64 -1 (*.f64 x x) (fma.f64 x (fma.f64 y y 2) -1))
(+.f64 -1 (*.f64 x (-.f64 (fma.f64 y y 2) x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 (+.f64 2 (*.f64 y y)) x -1))
(fma.f64 -1 (*.f64 x x) (fma.f64 x (fma.f64 y y 2) -1))
(+.f64 -1 (*.f64 x (-.f64 (fma.f64 y y 2) x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x))
(fma.f64 -1 (*.f64 x x) (*.f64 x (+.f64 2 (*.f64 y y))))
(-.f64 (*.f64 x (fma.f64 y y 2)) (*.f64 x x))
(*.f64 x (-.f64 (fma.f64 y y 2) x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 (+.f64 2 (*.f64 y y)) x -1))
(fma.f64 -1 (*.f64 x x) (fma.f64 x (fma.f64 y y 2) -1))
(+.f64 -1 (*.f64 x (-.f64 (fma.f64 y y 2) x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (+.f64 2 (pow.f64 y 2)) x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 (+.f64 2 (*.f64 y y)) x -1))
(fma.f64 -1 (*.f64 x x) (fma.f64 x (fma.f64 y y 2) -1))
(+.f64 -1 (*.f64 x (-.f64 (fma.f64 y y 2) x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) 2) x)) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 -1 (*.f64 x x) (*.f64 x (+.f64 2 (*.f64 y y))))
(-.f64 (*.f64 x (fma.f64 y y 2)) (*.f64 x x))
(*.f64 x (-.f64 (fma.f64 y y 2) x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) 2) x)) (*.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 (+.f64 2 (*.f64 y y)) x -1))
(fma.f64 -1 (*.f64 x x) (fma.f64 x (fma.f64 y y 2) -1))
(+.f64 -1 (*.f64 x (-.f64 (fma.f64 y y 2) x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) 2) x)) (*.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 (+.f64 2 (*.f64 y y)) x -1))
(fma.f64 -1 (*.f64 x x) (fma.f64 x (fma.f64 y y 2) -1))
(+.f64 -1 (*.f64 x (-.f64 (fma.f64 y y 2) x)))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 1)
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -2 x) (pow.f64 x 2))
(fma.f64 -2 x (*.f64 x x))
(*.f64 x (+.f64 x -2))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 1)
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -2 x) (pow.f64 x 2))
(fma.f64 -2 x (*.f64 x x))
(*.f64 x (+.f64 x -2))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 1)
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 1)

eval230.0ms (4.9%)

Compiler

Compiled 8482 to 4588 computations (45.9% saved)

prune89.0ms (1.9%)

Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New4767483
Fresh426
Picked101
Done257
Total48314497
Error
0b
Counts
497 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓44.7b
(*.f64 y (sqrt.f64 x))
✓45.0b
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
✓0.1b
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
✓40.1b
(neg.f64 x)
▶61.2b
(sqrt.f64 (*.f64 x (*.f64 y y)))
▶0.3b
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (-.f64 1 x))
▶0.8b
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 3)
59.3b
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (*.f64 y y))))
▶59.5b
(/.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))
19.3b
(+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 y (*.f64 y x))))
55.1b
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 y x) 1/2))
▶44.8b
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y))
41.7b
1
✓18.6b
(-.f64 1 x)
Compiler

Compiled 229 to 158 computations (31% saved)

localize16.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 (sqrt.f64 x))
0.6b
(cbrt.f64 x)
0.2b
(*.f64 y (cbrt.f64 x))
0.1b
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (-.f64 1 x))
✓0.1b
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (-.f64 1 x))
✓0.2b
(*.f64 y (cbrt.f64 x))
✓0.6b
(cbrt.f64 x)
✓0.6b
(cbrt.f64 (sqrt.f64 x))
Compiler

Compiled 30 to 12 computations (60% saved)

series15.0ms (0.3%)

Counts
4 → 42
Calls

18 calls:

TimeVariablePointExpression
3.0ms
y
@0
(*.f64 y (cbrt.f64 x))
2.0ms
y
@0
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (-.f64 1 x))
2.0ms
x
@-inf
(cbrt.f64 (sqrt.f64 x))
1.0ms
x
@-inf
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (-.f64 1 x))
1.0ms
x
@-inf
(*.f64 y (cbrt.f64 x))

rewrite67.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
918×pow1_binary64
851×add-log-exp_binary64
851×log1p-expm1-u_binary64
851×expm1-log1p-u_binary64
829×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01031
119825
2234325
Stop Event
1×node limit
Counts
4 → 79
Calls
Call 1
Inputs
(cbrt.f64 (sqrt.f64 x))
(cbrt.f64 x)
(*.f64 y (cbrt.f64 x))
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 1/6)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 (sqrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 1/4) 1/3) (pow.f64 (pow.f64 x 1/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (pow.f64 (sqrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/6) (*.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 1/6) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (sqrt.f64 x)) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))) 1)))) (#(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 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) 2)) (cbrt.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))) (sqrt.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) (-.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 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) (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 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))))))))

simplify97.0ms (2%)

Algorithm
1×egg-herbie
Rules
926×fma-def_binary64
569×fma-neg_binary64
538×sqr-pow_binary64
478×distribute-rgt-neg-in_binary64
320×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023281
155281
2106281
3230281
4757281
51451281
61676281
71960281
82316281
92865281
103816281
115140281
126362281
137699281
Stop Event
1×node limit
Counts
121 → 90
Calls
Call 1
Inputs
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(-.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 x))
(*.f64 -1 x)
(+.f64 1 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 1 (*.f64 -1 x))
Outputs
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 (cbrt.f64 x) y)
(-.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 x))
(-.f64 1 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
24.6b
(sqrt.f64 (*.f64 x (*.f64 y y)))
9.0b
(*.f64 x (*.f64 y y))
9.0b
(*.f64 x (*.f64 y y))
✓24.6b
(sqrt.f64 (*.f64 x (*.f64 y y)))
Compiler

Compiled 18 to 5 computations (72.2% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite42.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
537×pow1_binary64
511×add-sqr-sqrt_binary64
496×add-log-exp_binary64
496×log1p-expm1-u_binary64
496×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069
11216
214446
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x (*.f64 y y)))
Outputs
((#(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 (*.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 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (*.f64 y y))))))) (#(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 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.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 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 y 4)))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 y 4))) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x y) 1/2) (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 (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 fabs.f64 (*.f64 y (sqrt.f64 x)))))) (#(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 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 expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))))))

simplify13.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
38×fma-def_binary64
9×sub-neg_binary64
6×+-commutative_binary64
4×*-commutative_binary64
4×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0780
11280
22580
32980
43380
55180
67380
78480
89680
912180
Stop Event
1×saturated
Counts
36 → 26
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)))
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)))
(neg.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(neg.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(neg.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(*.f64 -1 (*.f64 y (sqrt.f64 x)))
(neg.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 y))

localize17.0ms (0.4%)

Local error

Found 6 expressions with local error:

NewErrorProgram
13.5b
(/.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))
9.0b
(*.f64 x (*.f64 y y))
0.2b
(*.f64 y (sqrt.f64 x))
0.2b
(*.f64 y (sqrt.f64 x))
9.0b
(*.f64 x (*.f64 y y))
✓13.5b
(/.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))
Compiler

Compiled 44 to 16 computations (63.6% saved)

series7.0ms (0.1%)

Counts
1 → 15
Calls

6 calls:

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

rewrite55.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
651×log-prod_binary64
544×fma-def_binary64
338×fma-neg_binary64
316×pow2_binary64
241×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01121
124619
2363219
Stop Event
1×node limit
Counts
1 → 55
Calls
Call 1
Inputs
(/.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 y y) (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (*.f64 x (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 y y)) (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (*.f64 y (sqrt.f64 x)) (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y))) 2) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))) (/.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (*.f64 y y))) (/.f64 1 (neg.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x y) (*.f64 y (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 y y) (+.f64 x (fma.f64 y (sqrt.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) 1) (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) (+.f64 x (fma.f64 y (sqrt.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (sqrt.f64 x)) 1) (/.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x (fma.f64 y (sqrt.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) 1) (/.f64 y (+.f64 x (fma.f64 y (sqrt.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)) 2))) (/.f64 (*.f64 y y) (cbrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)) 2))) (/.f64 x (cbrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)) 2))) (/.f64 (*.f64 x (*.f64 y y)) (cbrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 2) (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)) 2))) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (sqrt.f64 x)) (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)) 2))) (/.f64 (*.f64 y (sqrt.f64 x)) (cbrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)) 2))) (/.f64 y (cbrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))) (/.f64 (*.f64 y y) (sqrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) (sqrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))) (/.f64 x (sqrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))) (/.f64 (*.f64 x (*.f64 y y)) (sqrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) 2) (sqrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 y y))) (sqrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))) (/.f64 y (sqrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3) (pow.f64 (-.f64 1 x) 3))) (fma.f64 (-.f64 1 x) (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 1 x) 2))) (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)) (*.f64 x (*.f64 y y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y y)) 3) (pow.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)) (*.f64 x (*.f64 y y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (neg.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y y)) 3) (pow.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) -1))) (*.f64 y y))))))))

simplify34.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
687×associate-*l/_binary64
674×fma-neg_binary64
454×associate-/r/_binary64
431×cancel-sign-sub-inv_binary64
356×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059427
1180415
2576391
32892349
Stop Event
1×node limit
Counts
70 → 74
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(pow.f64 y 2)
(pow.f64 y 2)
(/.f64 (*.f64 (pow.f64 y 2) x) (-.f64 x 1))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 x 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 y 2) x) (-.f64 x 1)))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 x 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 2)) (pow.f64 (-.f64 x 1) 3)) (/.f64 (*.f64 (pow.f64 y 2) x) (-.f64 x 1))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 x 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 2)) (pow.f64 (-.f64 x 1) 3)) (+.f64 (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 5) (pow.f64 (-.f64 x 1) 4)) (sqrt.f64 (pow.f64 x 5)))) (/.f64 (*.f64 (pow.f64 y 2) x) (-.f64 x 1)))))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x 1) 2) (-.f64 1 x)) (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x))))))) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x 1) 2) (-.f64 1 x)) (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x))))))) x)
Outputs
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 x (*.f64 y y)))
(*.f64 x (neg.f64 (*.f64 y y)))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 (*.f64 y x) (neg.f64 y))
(pow.f64 y 2)
(*.f64 y y)
(pow.f64 y 2)
(*.f64 y y)
(/.f64 (*.f64 (pow.f64 y 2) x) (-.f64 x 1))
(/.f64 (*.f64 x (*.f64 y y)) (+.f64 x -1))
(*.f64 (/.f64 (*.f64 y y) (+.f64 -1 x)) x)
(*.f64 x (/.f64 y (/.f64 (+.f64 -1 x) y)))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 x 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 y 2) x) (-.f64 x 1)))
(fma.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 x -1) 2)) (sqrt.f64 (pow.f64 x 3))) (/.f64 (*.f64 x (*.f64 y y)) (+.f64 x -1)))
(fma.f64 (neg.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 -1 x) 2))) (sqrt.f64 (pow.f64 x 3)) (*.f64 (/.f64 (*.f64 y y) (+.f64 -1 x)) x))
(-.f64 (*.f64 x (/.f64 y (/.f64 (+.f64 -1 x) y))) (/.f64 (pow.f64 x 3/2) (/.f64 (pow.f64 (+.f64 -1 x) 2) (pow.f64 y 3))))
(*.f64 (/.f64 y (/.f64 (+.f64 -1 x) y)) (-.f64 x (*.f64 (pow.f64 x 3/2) (/.f64 y (+.f64 -1 x)))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 x 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 2)) (pow.f64 (-.f64 x 1) 3)) (/.f64 (*.f64 (pow.f64 y 2) x) (-.f64 x 1))))
(fma.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 x -1) 2)) (sqrt.f64 (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (*.f64 y y)) (+.f64 x -1)) (/.f64 (*.f64 (pow.f64 y 4) (*.f64 x x)) (pow.f64 (+.f64 x -1) 3))))
(+.f64 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (+.f64 -1 x) 3) (*.f64 x x))) (fma.f64 (neg.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 -1 x) 2))) (sqrt.f64 (pow.f64 x 3)) (*.f64 (/.f64 (*.f64 y y) (+.f64 -1 x)) x)))
(-.f64 (fma.f64 (/.f64 y (/.f64 (+.f64 -1 x) y)) x (*.f64 (*.f64 x x) (/.f64 (pow.f64 y 4) (pow.f64 (+.f64 -1 x) 3)))) (/.f64 (pow.f64 x 3/2) (/.f64 (pow.f64 (+.f64 -1 x) 2) (pow.f64 y 3))))
(fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 (+.f64 -1 x) 3)) (*.f64 x x) (*.f64 (/.f64 y (/.f64 (+.f64 -1 x) y)) (-.f64 x (*.f64 (pow.f64 x 3/2) (/.f64 y (+.f64 -1 x))))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 x 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 2)) (pow.f64 (-.f64 x 1) 3)) (+.f64 (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 5) (pow.f64 (-.f64 x 1) 4)) (sqrt.f64 (pow.f64 x 5)))) (/.f64 (*.f64 (pow.f64 y 2) x) (-.f64 x 1)))))
(fma.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 x -1) 2)) (sqrt.f64 (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (*.f64 x x)) (pow.f64 (+.f64 x -1) 3)) (fma.f64 -1 (*.f64 (/.f64 (pow.f64 y 5) (pow.f64 (+.f64 x -1) 4)) (sqrt.f64 (pow.f64 x 5))) (/.f64 (*.f64 x (*.f64 y y)) (+.f64 x -1)))))
(+.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 -1 x)) x) (*.f64 (/.f64 (pow.f64 y 5) (pow.f64 (+.f64 -1 x) 4)) (sqrt.f64 (pow.f64 x 5)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 -1 x) 2))) (sqrt.f64 (pow.f64 x 3)) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (+.f64 -1 x) 3) (*.f64 x x)))))
(-.f64 (-.f64 (fma.f64 (/.f64 y (/.f64 (+.f64 -1 x) y)) x (*.f64 (*.f64 x x) (/.f64 (pow.f64 y 4) (pow.f64 (+.f64 -1 x) 3)))) (/.f64 (pow.f64 y 5) (/.f64 (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))))
(-.f64 (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 (+.f64 -1 x) 3)) (*.f64 x x) (*.f64 (/.f64 y (/.f64 (+.f64 -1 x) y)) (-.f64 x (*.f64 (pow.f64 x 3/2) (/.f64 y (+.f64 -1 x)))))) (/.f64 (pow.f64 y 5) (/.f64 (pow.f64 (+.f64 -1 x) 4) (pow.f64 x 5/2))))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))) x)
(-.f64 (+.f64 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 (*.f64 (/.f64 (+.f64 x -1) (/.f64 y (-.f64 1 x))) (sqrt.f64 (/.f64 1 x))))) x)
(-.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) (*.f64 (/.f64 (+.f64 -1 x) (/.f64 y (-.f64 1 x))) (sqrt.f64 (/.f64 1 x)))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 x)) 1)) x)
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (+.f64 -1 x) 2) y) (fma.f64 y (sqrt.f64 x) 1)) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x 1) 2) (-.f64 1 x)) (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x))))))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) (+.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 y y)) (/.f64 (-.f64 1 x) x))) (neg.f64 (*.f64 (/.f64 (+.f64 x -1) (/.f64 y (-.f64 1 x))) (sqrt.f64 (/.f64 1 x)))))) x)
(+.f64 (fma.f64 y (sqrt.f64 x) 1) (-.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 -1 x) 2) (*.f64 y y)) (/.f64 (-.f64 1 x) x)) (*.f64 (/.f64 (+.f64 -1 x) (/.f64 y (-.f64 1 x))) (sqrt.f64 (/.f64 1 x)))) x))
(-.f64 (fma.f64 y (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 x)) (fma.f64 (/.f64 (pow.f64 (+.f64 -1 x) 2) (*.f64 y y)) (+.f64 (/.f64 1 x) -1) 1))) x)
(+.f64 1 (-.f64 (fma.f64 y (sqrt.f64 x) (*.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 -1 x) 2)) y) (-.f64 (/.f64 (+.f64 -1 x) (*.f64 y x)) (sqrt.f64 (/.f64 1 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)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x)))))) x)
(-.f64 (+.f64 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 (*.f64 (/.f64 (+.f64 x -1) (/.f64 y (-.f64 1 x))) (sqrt.f64 (/.f64 1 x))))) x)
(-.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) (*.f64 (/.f64 (+.f64 -1 x) (/.f64 y (-.f64 1 x))) (sqrt.f64 (/.f64 1 x)))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 x)) 1)) x)
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (+.f64 -1 x) 2) y) (fma.f64 y (sqrt.f64 x) 1)) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x 1) 2) (-.f64 1 x)) (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) y) (sqrt.f64 (/.f64 1 x))))))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) (+.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 y y)) (/.f64 (-.f64 1 x) x))) (neg.f64 (*.f64 (/.f64 (+.f64 x -1) (/.f64 y (-.f64 1 x))) (sqrt.f64 (/.f64 1 x)))))) x)
(+.f64 (fma.f64 y (sqrt.f64 x) 1) (-.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 -1 x) 2) (*.f64 y y)) (/.f64 (-.f64 1 x) x)) (*.f64 (/.f64 (+.f64 -1 x) (/.f64 y (-.f64 1 x))) (sqrt.f64 (/.f64 1 x)))) x))
(-.f64 (fma.f64 y (sqrt.f64 x) (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 x)) (fma.f64 (/.f64 (pow.f64 (+.f64 -1 x) 2) (*.f64 y y)) (+.f64 (/.f64 1 x) -1) 1))) x)
(+.f64 1 (-.f64 (fma.f64 y (sqrt.f64 x) (*.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 -1 x) 2)) y) (-.f64 (/.f64 (+.f64 -1 x) (*.f64 y x)) (sqrt.f64 (/.f64 1 x))))) x))

localize35.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y))
0.2b
(*.f64 (pow.f64 x 1/4) y)
✓0.2b
(*.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)

series4.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y))
0.0ms
x
@inf
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y))
0.0ms
x
@-inf
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y))
0.0ms
y
@inf
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y))
0.0ms
y
@-inf
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y))

rewrite42.0ms (0.9%)

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
0720
114713
2168413
Stop Event
1×node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y))
(*.f64 (pow.f64 x 1/4) y)
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 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 expm1.f64 (log1p.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 (*.f64 y 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 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 expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 1/4) y)))))))

simplify41.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
681×fma-def_binary64
652×div-sub_binary64
596×fma-neg_binary64
411×times-frac_binary64
232×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019240
146240
296240
3211240
4586240
51689240
65218240
Stop Event
1×node limit
Counts
58 → 26
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)
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))

localize20.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 3)
0.3b
(cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))
0.1b
(fma.f64 y (sqrt.f64 x) 1)
0.0b
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
✓0.0b
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
✓0.1b
(fma.f64 y (sqrt.f64 x) 1)
✓0.3b
(cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))
✓0.5b
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 3)
Compiler

Compiled 38 to 20 computations (47.4% saved)

series52.0ms (1.1%)

Counts
4 → 38
Calls

24 calls:

TimeVariablePointExpression
23.0ms
y
@inf
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 3)
7.0ms
x
@-inf
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 3)
6.0ms
y
@0
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 3)
5.0ms
x
@inf
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 3)
2.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 3)

rewrite69.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
904×pow1_binary64
848×add-log-exp_binary64
847×log1p-expm1-u_binary64
847×expm1-log1p-u_binary64
826×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01039
121139
2232739
Stop Event
1×node limit
Counts
4 → 131
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 3)
(cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))
(fma.f64 y (sqrt.f64 x) 1)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (sqrt.f64 x) 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (fma.f64 y (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 y (sqrt.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))) (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (+.f64 x (fma.f64 y (sqrt.f64 x) 1))) (/.f64 (*.f64 x x) (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))) (#(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 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 2) (*.f64 (cbrt.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 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 1/6) (*.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 1/6) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2)))))) (#(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 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 2) 3) (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 1/6) 3) (pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2) 1) (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2) (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 1/6)) (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1)))) (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) 1)) (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x)) (+.f64 x (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) 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simplify64.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
781×times-frac_binary64
764×fma-def_binary64
373×*-commutative_binary64
324×fma-neg_binary64
246×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0106999
1352908
21266885
34368882
46316882
Stop Event
1×node limit
Counts
169 → 114
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (-.f64 1 x))
(+.f64 (*.f64 y (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) (sqrt.f64 x))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) (sqrt.f64 x))))) (*.f64 (pow.f64 1 1/3) (-.f64 1 x)))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 (*.f64 1 (-.f64 1 x)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) x)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) x)))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/9) x)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/9) x))))) (+.f64 (*.f64 y (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) (sqrt.f64 x))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) (sqrt.f64 x))))) (*.f64 (pow.f64 1 1/3) (-.f64 1 x))))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) x)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) x))) (sqrt.f64 x)))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (-.f64 1 x)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3))))))) (*.f64 -2/27 (*.f64 (pow.f64 1 1/9) (*.f64 (/.f64 1 (-.f64 1 x)) (sqrt.f64 (pow.f64 x 3))))))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3)))))))))) (pow.f64 y 3)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 (*.f64 1 (-.f64 1 x)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) x)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) x)))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/9) x)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/9) x))))) (+.f64 (*.f64 y (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) (sqrt.f64 x))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) (sqrt.f64 x))))) (*.f64 (pow.f64 1 1/3) (-.f64 1 x)))))
1
(pow.f64 (-.f64 1 x) 1/3)
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (*.f64 y (sqrt.f64 x)))))
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9) (*.f64 (pow.f64 y 2) x))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (*.f64 y (sqrt.f64 x))))))
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9) (*.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (*.f64 y (sqrt.f64 x)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3))))) (pow.f64 y 3)))))))
1
1
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
1
(-.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 x)
(*.f64 -1 x)
Outputs
(*.f64 (pow.f64 1 1/3) (-.f64 1 x))
(-.f64 1 x)
(+.f64 (*.f64 y (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) (sqrt.f64 x))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) (sqrt.f64 x))))) (*.f64 (pow.f64 1 1/3) (-.f64 1 x)))
(fma.f64 y (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18)) (sqrt.f64 x)) 1) (-.f64 1 x))
(fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18)) (sqrt.f64 x)) (-.f64 1 x))
(-.f64 (fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18)) (sqrt.f64 x)) 1) x)
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 (*.f64 1 (-.f64 1 x)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) x)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) x)))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/9) x)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/9) x))))) (+.f64 (*.f64 y (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) (sqrt.f64 x))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) (sqrt.f64 x))))) (*.f64 (pow.f64 1 1/3) (-.f64 1 x))))
(fma.f64 (*.f64 y y) (fma.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18))) -1/9) (*.f64 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18))) 1/9)) (fma.f64 y (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18)) (sqrt.f64 x)) 1) (-.f64 1 x)))
(fma.f64 (*.f64 y y) (fma.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18)) -1/9)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18)) (*.f64 x 1/9))) (fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18)) (sqrt.f64 x)) (-.f64 1 x)))
(fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18)) (sqrt.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18)) (*.f64 x -1/9)) (*.f64 x (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18))))) (-.f64 1 x)))
(fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18)) (sqrt.f64 x)) (fma.f64 (*.f64 y y) (*.f64 x (+.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) -1/9))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18))))) (-.f64 1 x)))
(fma.f64 y (*.f64 y (*.f64 x (+.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18)) -1/9)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18)))))) (-.f64 (fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18)) (sqrt.f64 x)) 1) x))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) x)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) x))) (sqrt.f64 x)))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (-.f64 1 x)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3))))))) (*.f64 -2/27 (*.f64 (pow.f64 1 1/9) (*.f64 (/.f64 1 (-.f64 1 x)) (sqrt.f64 (pow.f64 x 3))))))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3)))))))))) (pow.f64 y 3)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 (*.f64 1 (-.f64 1 x)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) x)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) x)))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/9) x)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/9) x))))) (+.f64 (*.f64 y (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) (sqrt.f64 x))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/9) (sqrt.f64 x))))) (*.f64 (pow.f64 1 1/3) (-.f64 1 x)))))
(fma.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18))) -1/9))) (+.f64 (*.f64 -2/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 (pow.f64 x 3)))) (fma.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) (+.f64 (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 (pow.f64 x 3)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 (pow.f64 x 3))) 1/27))) (*.f64 -2/27 (*.f64 (/.f64 1 (-.f64 1 x)) (sqrt.f64 (pow.f64 x 3))))) (*.f64 -1/3 (+.f64 (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 (pow.f64 x 3)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 (pow.f64 x 3))) 1/27)))))) (pow.f64 y 3) (fma.f64 (*.f64 y y) (fma.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18))) -1/9) (*.f64 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18))) 1/9)) (fma.f64 y (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18)) (sqrt.f64 x)) 1) (-.f64 1 x))))
(fma.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) x)) (*.f64 -1/9 (sqrt.f64 x)))) (fma.f64 -2/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 (pow.f64 x 3))) (fma.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 -2/27 (/.f64 (sqrt.f64 (pow.f64 x 3)) (-.f64 1 x)) (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 (pow.f64 x 3))) -5/27) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (-.f64 1 x)))))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 (pow.f64 x 3))) -5/27) -1/3)))) (pow.f64 y 3) (fma.f64 (*.f64 y y) (fma.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18)) -1/9)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18)) (*.f64 x 1/9))) (fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18)) (sqrt.f64 x)) (-.f64 1 x))))
(fma.f64 y (*.f64 y (fma.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18)) (*.f64 x -1/9)) (*.f64 x (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18)))))) (fma.f64 (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18)) (*.f64 x -1/9)) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)))) (fma.f64 -2/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (pow.f64 x 3/2)) (+.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 (pow.f64 x 3/2) (/.f64 -2/27 (-.f64 1 x)))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (pow.f64 x 3/2)) -5/27) (+.f64 -1/3 (*.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (-.f64 1 x)))))))))) (pow.f64 y 3) (-.f64 (fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18)) (sqrt.f64 x)) 1) x)))
(fma.f64 y (*.f64 y (*.f64 x (+.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) -1/9))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18)))))) (fma.f64 (fma.f64 1/3 (*.f64 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) -1/9))) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)))) (+.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (*.f64 (pow.f64 x 3/2) -5/27)) (+.f64 -1/3 (*.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (-.f64 1 x))))))) (*.f64 -2/27 (+.f64 (*.f64 (pow.f64 x 3/2) (/.f64 (cbrt.f64 (-.f64 1 x)) (-.f64 1 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (pow.f64 x 3/2)))))) (pow.f64 y 3) (-.f64 (fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18)) (sqrt.f64 x)) 1) x)))
(fma.f64 y (*.f64 y (*.f64 x (+.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18)) -1/9)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/18)))))) (fma.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (*.f64 (*.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 4)) 1/18)) -1/9)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)))) (+.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (*.f64 (pow.f64 x 3/2) -5/27)) (+.f64 -1/3 (*.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (-.f64 1 x))))))) (*.f64 -2/27 (+.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (-.f64 1 x) (pow.f64 x 3/2))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (pow.f64 x 3/2)))))) (pow.f64 y 3) (-.f64 (fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 x) 4) 1/18)) (sqrt.f64 x)) 1) x)))
1
(pow.f64 (-.f64 1 x) 1/3)
(cbrt.f64 (-.f64 1 x))
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (*.f64 y (sqrt.f64 x)))))
(+.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (*.f64 y (sqrt.f64 x)))))
(fma.f64 1/3 (*.f64 y (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)))) (cbrt.f64 (-.f64 1 x)))
(fma.f64 1/3 (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)))) (cbrt.f64 (-.f64 1 x)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18))) (cbrt.f64 (-.f64 1 x)))
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9) (*.f64 (pow.f64 y 2) x))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (*.f64 y (sqrt.f64 x))))))
(+.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)) (*.f64 x (*.f64 y y))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (*.f64 y (sqrt.f64 x))))))
(+.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 -1/9 (*.f64 x (*.f64 (*.f64 y y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (*.f64 (*.f64 y (sqrt.f64 x)) 1/3))))
(fma.f64 1/3 (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)) (*.f64 -1/9 (*.f64 x (*.f64 y y))) (cbrt.f64 (-.f64 1 x))))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (*.f64 y (sqrt.f64 x))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)) (*.f64 -1/9 (*.f64 x (*.f64 y y))) (cbrt.f64 (-.f64 1 x))))
(+.f64 (pow.f64 (-.f64 1 x) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/9) (*.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/9) (*.f64 y (sqrt.f64 x)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/3) (sqrt.f64 (pow.f64 x 3))))) (pow.f64 y 3)))))))
(+.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)) (*.f64 x (*.f64 y y))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (*.f64 y (sqrt.f64 x))) (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)))) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 (pow.f64 x 3)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 (pow.f64 x 3))) 1/27)) (pow.f64 y 3))))))
(+.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 -1/9 (*.f64 x (*.f64 (*.f64 y y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)))) (fma.f64 1/3 (*.f64 y (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)))) (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 (pow.f64 x 3))) -5/27) (pow.f64 y 3)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) -1/3)))))
(+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (*.f64 -1/3 (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (pow.f64 x 3/2)) -5/27) (pow.f64 y 3)))) (fma.f64 1/3 (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)) (*.f64 -1/9 (*.f64 x (*.f64 y y))) (cbrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (*.f64 -1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (*.f64 (pow.f64 x 3/2) -5/27)) (pow.f64 y 3)))) (fma.f64 1/3 (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)) (*.f64 -1/9 (*.f64 x (*.f64 y y))) (cbrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) (*.f64 (pow.f64 x 3/2) -5/27)) (*.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2))) -1/3))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 2)) 1/18)) (*.f64 y (sqrt.f64 x))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 7)) 1/18)) (*.f64 -1/9 (*.f64 x (*.f64 y y))) (cbrt.f64 (-.f64 1 x)))))
1
1
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(fma.f64 y (sqrt.f64 x) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(fma.f64 y (sqrt.f64 x) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(fma.f64 y (sqrt.f64 x) 1)
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(fma.f64 y (sqrt.f64 x) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(fma.f64 y (sqrt.f64 x) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(fma.f64 y (sqrt.f64 x) 1)
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(fma.f64 y (sqrt.f64 x) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(fma.f64 y (sqrt.f64 x) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(fma.f64 y (sqrt.f64 x) 1)
1
(-.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 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)

eval261.0ms (5.5%)

Compiler

Compiled 6543 to 3669 computations (43.9% saved)

prune185.0ms (3.9%)

Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New3726378
Fresh224
Picked101
Done099
Total37517392
Error
0b
Counts
392 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
62.8b
(*.f64 x (/.f64 y (/.f64 (+.f64 -1 x) y)))
22.4b
(pow.f64 (cbrt.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x)) 3)
62.3b
(*.f64 y y)
✓59.5b
(/.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))
✓44.7b
(*.f64 y (sqrt.f64 x))
✓45.0b
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
✓0.1b
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
✓40.1b
(neg.f64 x)
✓61.2b
(sqrt.f64 (*.f64 x (*.f64 y y)))
✓0.3b
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (-.f64 1 x))
59.3b
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (*.f64 y y))))
19.3b
(+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 y (*.f64 y x))))
62.3b
(*.f64 (*.f64 y x) (neg.f64 y))
41.7b
1
✓44.8b
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y))
55.1b
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y))
✓18.6b
(-.f64 1 x)
Compiler

Compiled 155 to 106 computations (31.6% saved)

regimes39.0ms (0.8%)

Counts
17 → 1
Calls
Call 1
Inputs
1
(neg.f64 x)
(-.f64 1 x)
(*.f64 y y)
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 x (/.f64 y (/.f64 (+.f64 -1 x) y)))
(*.f64 y (sqrt.f64 x))
(sqrt.f64 (*.f64 x (*.f64 y y)))
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 y (*.f64 y x))))
(/.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y))
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) y))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x)) 3)
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (*.f64 y y))))
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (-.f64 1 x))
Outputs
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
Calls

3 calls:

11.0ms
x
11.0ms
y
8.0ms
(+.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 139 to 67 computations (51.8% saved)

regimes38.0ms (0.8%)

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

2 calls:

19.0ms
y
16.0ms
x
Results
ErrorSegmentsBranch
17.2b3x
4.0b3y
Compiler

Compiled 42 to 23 computations (45.2% saved)

bsearch43.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
9.734310951690607e+98
1.1452913080784038e+99
21.0ms
-9.138400315719318e+71
-1.0179940289169682e+67
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes20.0ms (0.4%)

Counts
6 → 1
Calls
Call 1
Inputs
1
(neg.f64 x)
(-.f64 1 x)
(*.f64 y y)
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 x (/.f64 y (/.f64 (+.f64 -1 x) y)))
Outputs
(-.f64 1 x)
Calls

2 calls:

12.0ms
x
6.0ms
y
Results
ErrorSegmentsBranch
18.6b1x
18.6b1y
Compiler

Compiled 32 to 19 computations (40.6% saved)

regimes40.0ms (0.9%)

Accuracy

Total -44.0b remaining (-231.7%)

Threshold costs -44.0b (-231.7%)

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

2 calls:

31.0ms
y
8.0ms
x
Results
ErrorSegmentsBranch
19.0b2x
32.4b8y
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch22.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
21.0ms
0.032864545335528544
167645.17044315787
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify3.0ms (0.1%)

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×saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 y -913840031571931810516959983987038396053255011108540149678917679616884736) (*.f64 y (sqrt.f64 x)) (if (<=.f64 y 973431095169060739505834231593312058521018030862061727347754386027100278135390596123011343563358208) (-.f64 1 x) (*.f64 y (sqrt.f64 x))))
(-.f64 1 x)
(if (<=.f64 x 606243856903320064/18446744073709551616) 1 (neg.f64 x))
1
Outputs
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 y -913840031571931810516959983987038396053255011108540149678917679616884736) (*.f64 y (sqrt.f64 x)) (if (<=.f64 y 973431095169060739505834231593312058521018030862061727347754386027100278135390596123011343563358208) (-.f64 1 x) (*.f64 y (sqrt.f64 x))))
(-.f64 1 x)
(if (<=.f64 x 606243856903320064/18446744073709551616) 1 (neg.f64 x))
(if (<=.f64 x 1184070033014297/36028797018963968) 1 (neg.f64 x))
1

end37.0ms (0.8%)

Stop Event
1×fuel
Compiler

Compiled 88 to 56 computations (36.4% saved)

Profiling

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