Details

Time bar (total: 5.7s)

analyze72.0ms (1.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
50%46.8%3.2%7
59.3%37.5%3.2%8
67.1%25.8%7.1%9
72.6%20.3%7.1%10
76.9%13.5%9.7%11
79.8%10.5%9.7%12
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.1s (19.5%)

Results
1.1s8256×body256valid
30.0ms280×body256invalid

preprocess131.0ms (2.3%)

Algorithm
2×egg-herbie
Rules
1297×fma-neg_binary64
334×cancel-sign-sub-inv_binary64
295×fma-def_binary64
254×sub-neg_binary64
198×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01632
14428
210624
324524
455522
5121022
6225622
7346722
8385722
9387522
10387522
11453322
12453322
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 y (-.f64 x 1)) (*.f64 x 1/2)) 918938533204673/1000000000000000)
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (-.f64 y 1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (-.f64 (*.f64 y (-.f64 x 1)) (*.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1)) (*.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1) (*.f64 x -1/2)))
(fma.f64 y (+.f64 x -1) (fma.f64 x -1/2 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1/2) (-.f64 918938533204673/1000000000000000 y))
(-.f64 918938533204673/1000000000000000 (fma.f64 x (-.f64 1/2 y) y))
Compiler

Compiled 15 to 12 computations (20% saved)

simplify58.0ms (1%)

Algorithm
1×egg-herbie
Rules
706×fma-neg_binary64
571×fma-def_binary64
225×cancel-sign-sub-inv_binary64
113×sub-neg_binary64
83×associate--r+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01116
12714
26212
313112
427011
557611
6109811
7182411
8260611
9277711
10280411
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (*.f64 y 1/2))) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))

eval1.0ms (0%)

Compiler

Compiled 21 to 15 computations (28.6% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
▶0.0b
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
Compiler

Compiled 23 to 17 computations (26.1% saved)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (-.f64 y 1))
✓0.0b
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Compiler

Compiled 38 to 26 computations (31.6% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@0
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
1.0ms
x
@0
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
1.0ms
x
@inf
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
1.0ms
y
@inf
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
1.0ms
x
@-inf
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)

rewrite84.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
614×fma-def_binary64
552×log-prod_binary64
402×fma-neg_binary64
321×pow2_binary64
221×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01123
126121
2350919
Stop Event
1×node limit
Counts
2 → 117
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(*.f64 x (-.f64 y 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 -918938533204673/1000000000000000))) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 -918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1))) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) 1)))) 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918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 y -1)) 1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 y -1)) 1 (fma.f64 y -1/2 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 1 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 1 (+.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) 1 (fma.f64 y -1/2 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))) 2) (fma.f64 y 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1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2)) (fma.f64 y -1/2 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2)) (cbrt.f64 (*.f64 x (+.f64 y -1))) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2)) (cbrt.f64 (*.f64 x (+.f64 y -1))) (fma.f64 y -1/2 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))) (fma.f64 y -1/2 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y -1)) (*.f64 (sqrt.f64 (+.f64 y -1)) x) (neg.f64 (fma.f64 y 1/2 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(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)))) (fma.f64 y -1/2 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y y) 1/4)) (/.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y y) 1/4)) (/.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))) (+.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (/.f64 1 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 -918938533204673/1000000000000000))) (fma.f64 y -1/2 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (+.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (fma.f64 y -1/2 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (fma.f64 y -1/2 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 y -1/2 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y -1/2 918938533204673/1000000000000000))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (-.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1) x) (-.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (-.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 y y -1)) (-.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 -1 x))))))

simplify82.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
830×fma-neg_binary64
671×fma-def_binary64
150×cancel-sign-sub-inv_binary64
142×sub-neg_binary64
80×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030451
182449
2199393
3473393
41247393
52111393
62665393
72851393
82928393
92932393
Stop Event
1×saturated
Counts
165 → 135
Calls
Call 1
Inputs
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y))
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y))
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x)))
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 -1 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
Outputs
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(fma.f64 y -1/2 918938533204673/1000000000000000)
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y))
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 y -1) x (*.f64 y -1/2)))
(fma.f64 y (-.f64 x 1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y))
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 y -1) x (*.f64 y -1/2)))
(fma.f64 y (-.f64 x 1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y))
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 y -1) x (*.f64 y -1/2)))
(fma.f64 y (-.f64 x 1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y))
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 y -1) x (*.f64 y -1/2)))
(fma.f64 y (-.f64 x 1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y))
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 y -1) x (*.f64 y -1/2)))
(fma.f64 y (-.f64 x 1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
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(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
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(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
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(+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 y -1) x (*.f64 y -1/2)))
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(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y))
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(+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 y -1) x (*.f64 y -1/2)))
(fma.f64 y (-.f64 x 1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y))
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(+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 y -1) x (*.f64 y -1/2)))
(fma.f64 y (-.f64 x 1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
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(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
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(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
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(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
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(fma.f64 y (-.f64 x 1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
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(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
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(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
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(fma.f64 y (-.f64 x 1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
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(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
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(-.f64 (*.f64 y x) x)
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(-.f64 (*.f64 y x) x)
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(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
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(-.f64 (*.f64 y x) x)
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(-.f64 (*.f64 y x) x)
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(-.f64 (*.f64 y x) x)
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(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
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(-.f64 (*.f64 y x) x)
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(-.f64 (*.f64 y x) x)
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(*.f64 (+.f64 y -1) x)
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localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
Compiler

Compiled 23 to 14 computations (39.1% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
1.0ms
y
@0
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
1.0ms
x
@-inf
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
0.0ms
x
@0
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
0.0ms
x
@inf
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))

rewrite107.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
466×unpow-prod-down_binary64
383×log-prod_binary64
302×exp-prod_binary64
262×prod-exp_binary64
245×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
118411
2239011
Stop Event
1×node limit
Counts
1 → 59
Calls
Call 1
Inputs
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
Outputs
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775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3))) (neg.f64 (fma.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 844448027808355901771309036929/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 2))) (neg.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (pow.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)) 2) (*.f64 918938533204673/1000000000000000 (neg.f64 (fma.f64 y (-.f64 1/2 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)) 2)) (-.f64 918938533204673/1000000000000000 (neg.f64 (fma.f64 y (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))) 2)) (cbrt.f64 (log.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))) (sqrt.f64 (log.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x)) 2) (neg.f64 (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (-.f64 1/2 x) x)) (neg.f64 (sqrt.f64 (fma.f64 y (-.f64 1/2 x) x))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x))) 2) (cbrt.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x))) (sqrt.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (fma.f64 y (-.f64 1/2 x) x) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x)) 2)) (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (fma.f64 y (-.f64 1/2 x) x))) (sqrt.f64 (fma.f64 y (-.f64 1/2 x) x)) 918938533204673/1000000000000000)))))

simplify75.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
695×fma-neg_binary64
631×fma-def_binary64
149×sub-neg_binary64
126×distribute-rgt-in_binary64
121×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030277
180241
2175239
3484235
41127235
52067235
62560235
72864235
82972235
92979235
Stop Event
1×saturated
Counts
83 → 73
Calls
Call 1
Inputs
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(*.f64 y (-.f64 x 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(*.f64 -1 (*.f64 y (-.f64 1/2 x)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y))
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (-.f64 1 y) x))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (-.f64 1 y) x))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (-.f64 1 y) x))) (*.f64 1/2 y))
Outputs
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 -1 (*.f64 y (-.f64 1/2 x)))
(*.f64 y (+.f64 x -1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))
(fma.f64 y -1/2 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(neg.f64 (*.f64 x (-.f64 1 y)))
(*.f64 (-.f64 1 y) (neg.f64 x))
(*.f64 x (-.f64 y 1))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(neg.f64 (*.f64 x (-.f64 1 y)))
(*.f64 (-.f64 1 y) (neg.f64 x))
(*.f64 x (-.f64 y 1))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (-.f64 1 y) x))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (-.f64 1 y) x))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (-.f64 1 y) x))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)

eval108.0ms (1.9%)

Compiler

Compiled 3505 to 2546 computations (27.4% saved)

prune64.0ms (1.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2026208
Fresh000
Picked101
Done101
Total2046210
Error
0b
Counts
210 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶23.9b
(pow.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 2)
34.2b
(-.f64 (*.f64 y x) x)
▶34.2b
(*.f64 (-.f64 y 1) x)
▶28.7b
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
▶37.6b
(*.f64 y (-.f64 x 1/2))
▶26.0b
(-.f64 918938533204673/1000000000000000 x)
Compiler

Compiled 92 to 68 computations (26.1% saved)

localize20.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
✓0.0b
(sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))
✓0.4b
(pow.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 2)
Compiler

Compiled 44 to 29 computations (34.1% saved)

series17.0ms (0.3%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(pow.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 2)
2.0ms
x
@0
(pow.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 2)
2.0ms
y
@-inf
(pow.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 2)
2.0ms
y
@inf
(pow.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 2)
2.0ms
x
@-inf
(pow.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 2)

rewrite72.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
592×unpow-prod-down_binary64
441×log-prod_binary64
282×pow2_binary64
254×pow-prod-down_binary64
197×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
124824
2280124
Stop Event
1×node limit
Counts
2 → 105
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 2)
(sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (*.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) 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3))) (sqrt.f64 (fma.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 844448027808355901771309036929/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))) 1) 1))))))

simplify58.0ms (1%)

Algorithm
1×egg-herbie
Rules
671×associate-*r*_binary64
608×associate-*l*_binary64
575×fma-def_binary64
330×distribute-lft-in_binary64
330×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0116516
1346482
21201448
37411448
Stop Event
1×node limit
Counts
121 → 131
Calls
Call 1
Inputs
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 x 1/2) 2) (-.f64 918938533204673/1000000000000000 x))) (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 x 1/2) 2) (-.f64 918938533204673/1000000000000000 x))))))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 x 1/2) 2) (-.f64 918938533204673/1000000000000000 x))) (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 x 1/2) 2) (-.f64 918938533204673/1000000000000000 x))))) (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (-.f64 x 1/2) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2))) (*.f64 -1/8 (/.f64 (pow.f64 (-.f64 x 1/2) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)))) (pow.f64 y 3))))) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 y)) 2) (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))) (*.f64 1/4 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 y)) 2) (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))) (pow.f64 x 2)))) (*.f64 1/2 y))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 y)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) 2))) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 y)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) 2)))) (pow.f64 x 3)) (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 y)) 2) (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))) (*.f64 1/4 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 y)) 2) (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))) (pow.f64 x 2))))) (*.f64 1/2 y))
(sqrt.f64 (-.f64 918938533204673/1000000000000000 x))
(+.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (*.f64 1/2 (*.f64 (*.f64 y (-.f64 x 1/2)) (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))))
(+.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (+.f64 (*.f64 1/2 (*.f64 (*.f64 y (-.f64 x 1/2)) (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))) (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x 1/2) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)))))))
(+.f64 (*.f64 1/16 (*.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x 1/2) 3)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 5))))) (+.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (+.f64 (*.f64 1/2 (*.f64 (*.f64 y (-.f64 x 1/2)) (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))) (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x 1/2) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3))))))))
(sqrt.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))))) (sqrt.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))))) (+.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))) (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 y)) 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) 3)))))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))))) (+.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))) (+.f64 (*.f64 -1/16 (*.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 y)) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) 5))))) (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 y)) 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) 3))))))))
Outputs
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 x 1/2) 2) (-.f64 918938533204673/1000000000000000 x))) (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 x 1/2) 2) (-.f64 918938533204673/1000000000000000 x))))))) x)
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 x 1/2) 2) (-.f64 918938533204673/1000000000000000 x))) (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 x 1/2) 2) (-.f64 918938533204673/1000000000000000 x))))) (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (-.f64 x 1/2) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2))) (*.f64 -1/8 (/.f64 (pow.f64 (-.f64 x 1/2) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)))) (pow.f64 y 3))))) x)
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))
(fma.f64 y -1/2 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 y)))) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 (neg.f64 (-.f64 1 y)) x (*.f64 y -1/2)))
(-.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) (fma.f64 x (neg.f64 y) x))
(-.f64 (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 y)) 2) (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))) (*.f64 1/4 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 y)) 2) (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))) (pow.f64 x 2)))) (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 y)))) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 (neg.f64 (-.f64 1 y)) x (*.f64 y -1/2)))
(-.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) (fma.f64 x (neg.f64 y) x))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 y)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) 2))) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 y)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) 2)))) (pow.f64 x 3)) (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 y)) 2) (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))) (*.f64 1/4 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 y)) 2) (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))) (pow.f64 x 2))))) (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 y)))) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 (neg.f64 (-.f64 1 y)) x (*.f64 y -1/2)))
(-.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) (fma.f64 x (neg.f64 y) x))
(sqrt.f64 (-.f64 918938533204673/1000000000000000 x))
(+.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (*.f64 1/2 (*.f64 (*.f64 y (-.f64 x 1/2)) (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))))
(+.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (*.f64 1/2 (*.f64 y (*.f64 (+.f64 x -1/2) (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)))))))
(fma.f64 1/2 (*.f64 (+.f64 x -1/2) (*.f64 y (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x))) (+.f64 -1/4 (*.f64 1/2 x))) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(+.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (+.f64 (*.f64 1/2 (*.f64 (*.f64 y (-.f64 x 1/2)) (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))) (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x 1/2) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)))))))
(+.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (fma.f64 1/2 (*.f64 y (*.f64 (+.f64 x -1/2) (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)))))))
(+.f64 (fma.f64 1/2 (*.f64 (+.f64 x -1/2) (*.f64 y (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3))) (*.f64 -1/8 (*.f64 y (*.f64 y (pow.f64 (+.f64 x -1/2) 2))))))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x))) (+.f64 -1/4 (*.f64 1/2 x))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3))) (*.f64 y (*.f64 (*.f64 y (pow.f64 (+.f64 x -1/2) 2)) -1/8)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))))
(+.f64 (*.f64 1/16 (*.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x 1/2) 3)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 5))))) (+.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (+.f64 (*.f64 1/2 (*.f64 (*.f64 y (-.f64 x 1/2)) (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))) (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x 1/2) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3))))))))
(fma.f64 1/16 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (+.f64 x -1/2) 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 5))))) (+.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (fma.f64 1/2 (*.f64 y (*.f64 (+.f64 x -1/2) (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3))))))))
(+.f64 (fma.f64 1/2 (*.f64 (+.f64 x -1/2) (*.f64 y (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3))) (*.f64 -1/8 (*.f64 y (*.f64 y (pow.f64 (+.f64 x -1/2) 2)))))) (fma.f64 (*.f64 (*.f64 1/16 (pow.f64 y 3)) (pow.f64 (+.f64 x -1/2) 3)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 5))) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))))
(fma.f64 (pow.f64 y 3) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 5))) (*.f64 (pow.f64 (+.f64 x -1/2) 3) 1/16)) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 x))) (+.f64 -1/4 (*.f64 1/2 x))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3))) (*.f64 y (*.f64 (*.f64 y (pow.f64 (+.f64 x -1/2) 2)) -1/8)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))))
(sqrt.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))
(sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)))
(sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))
(sqrt.f64 (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))))) (sqrt.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))
(fma.f64 -1/2 (*.f64 (+.f64 1 (neg.f64 y)) (*.f64 x (sqrt.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)))))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))))
(fma.f64 -1/2 (*.f64 (-.f64 1 y) (*.f64 x (sqrt.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))))
(fma.f64 (-.f64 1 y) (*.f64 -1/2 (*.f64 x (sqrt.f64 (/.f64 1 (fma.f64 y -1/2 918938533204673/1000000000000000))))) (sqrt.f64 (fma.f64 y -1/2 918938533204673/1000000000000000)))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))))) (+.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))) (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 y)) 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) 3)))))))
(+.f64 (fma.f64 -1/2 (*.f64 (+.f64 1 (neg.f64 y)) (*.f64 x (sqrt.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)))))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)))) (*.f64 (*.f64 -1/8 (*.f64 (pow.f64 (+.f64 1 (neg.f64 y)) 2) (*.f64 x x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) 3)))))
(fma.f64 -1/2 (*.f64 (-.f64 1 y) (*.f64 x (sqrt.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))))) (fma.f64 -1/8 (*.f64 (pow.f64 (-.f64 1 y) 2) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) 3))))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))))
(fma.f64 (pow.f64 (-.f64 1 y) 2) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) 3))) (*.f64 -1/8 (*.f64 x x))) (fma.f64 (-.f64 1 y) (*.f64 -1/2 (*.f64 x (sqrt.f64 (/.f64 1 (fma.f64 y -1/2 918938533204673/1000000000000000))))) (sqrt.f64 (fma.f64 y -1/2 918938533204673/1000000000000000))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) (sqrt.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))))) (+.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))) (+.f64 (*.f64 -1/16 (*.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 y)) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) 5))))) (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 y)) 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) 3))))))))
(+.f64 (fma.f64 -1/2 (*.f64 (+.f64 1 (neg.f64 y)) (*.f64 x (sqrt.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)))))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)))) (fma.f64 -1/16 (*.f64 (pow.f64 (+.f64 1 (neg.f64 y)) 3) (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) 5))))) (*.f64 (*.f64 -1/8 (*.f64 (pow.f64 (+.f64 1 (neg.f64 y)) 2) (*.f64 x x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) 3))))))
(+.f64 (fma.f64 -1/2 (*.f64 (-.f64 1 y) (*.f64 x (sqrt.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))) (fma.f64 -1/8 (*.f64 (pow.f64 (-.f64 1 y) 2) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) 3))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) 5))) (*.f64 -1/16 (*.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3))))))
(fma.f64 (-.f64 1 y) (*.f64 -1/2 (*.f64 x (sqrt.f64 (/.f64 1 (fma.f64 y -1/2 918938533204673/1000000000000000))))) (fma.f64 (pow.f64 (-.f64 1 y) 2) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) 3))) (*.f64 -1/8 (*.f64 x x))) (fma.f64 (*.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 x 3)) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) 5)))) (sqrt.f64 (fma.f64 y -1/2 918938533204673/1000000000000000)))))

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.1%)

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite44.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
599×pow1_binary64
556×add-log-exp_binary64
555×log1p-expm1-u_binary64
555×expm1-log1p-u_binary64
545×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11247
215437
Stop Event
1×node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 (-.f64 y 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 y -1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 y -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y -1) x)))))))

simplify18.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
125×fma-def_binary64
76×fma-neg_binary64
29×cancel-sign-sub-inv_binary64
16×distribute-rgt-neg-in_binary64
15×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0774
11474
22374
32874
44374
57174
615474
729974
844374
947774
1047974
Stop Event
1×saturated
Counts
29 → 22
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))

localize47.0ms (0.8%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
y
@0
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
0.0ms
y
@-inf
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
0.0ms
y
@inf
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))

rewrite63.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11377
216737
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (*.f64 (*.f64 y -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))) (sqrt.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3))) (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 918938533204673/2000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 918938533204673/2000000000000000 y))) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 918938533204673/2000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 1/4 (*.f64 y y))) (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3)))) (neg.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 918938533204673/2000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 1/4 (*.f64 y y)))) (neg.f64 (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y -1/2) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2))) (-.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))))))

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0754
1954
21054
Stop Event
1×saturated
Counts
40 → 33
Calls
Call 1
Inputs
918938533204673/1000000000000000
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(*.f64 -1/2 y)
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
Outputs
918938533204673/1000000000000000
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(*.f64 -1/2 y)
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(*.f64 -1/2 y)
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)

eval203.0ms (3.5%)

Compiler

Compiled 4676 to 3572 computations (23.6% saved)

prune44.0ms (0.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New2545259
Fresh011
Picked011
Done134
Total25510265
Error
0b
Counts
265 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.7b
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
▶45.5b
(*.f64 -1/2 y)
▶42.3b
(neg.f64 x)
▶34.2b
(-.f64 (*.f64 y x) x)
✓34.2b
(*.f64 (-.f64 y 1) x)
▶39.4b
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 918938533204673/2000000000000000 y))))
46.5b
918938533204673/1000000000000000
✓37.6b
(*.f64 y (-.f64 x 1/2))
▶54.4b
(*.f64 y x)
✓26.0b
(-.f64 918938533204673/1000000000000000 x)
Compiler

Compiled 113 to 85 computations (24.8% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite47.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
628×pow1_binary64
584×add-log-exp_binary64
584×log1p-expm1-u_binary64
584×expm1-log1p-u_binary64
571×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11117
215727
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(-.f64 (*.f64 y x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2) (cbrt.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))) (neg.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 y x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 y x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 x))))))

simplify21.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
85×fma-def_binary64
53×fma-neg_binary64
21×associate-*l*_binary64
17×cancel-sign-sub-inv_binary64
17×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014158
132158
266158
3136158
4278158
5390158
6448158
7452158
Stop Event
1×saturated
Counts
62 → 46
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))

localize3.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize58.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 918938533204673/2000000000000000 y)
✓0.0b
(+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 918938533204673/2000000000000000 y))
✓0.0b
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 918938533204673/2000000000000000 y)))
✓14.4b
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 918938533204673/2000000000000000 y))))
Compiler

Compiled 74 to 51 computations (31.1% saved)

series5.0ms (0.1%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 918938533204673/2000000000000000 y))))
1.0ms
y
@0
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 918938533204673/2000000000000000 y))))
1.0ms
y
@-inf
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 918938533204673/2000000000000000 y))))
0.0ms
y
@inf
(*.f64 918938533204673/2000000000000000 y)
0.0ms
y
@-inf
(*.f64 918938533204673/2000000000000000 y)

rewrite162.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
819×log-prod_binary64
549×fma-def_binary64
310×expm1-udef_binary64
310×log1p-udef_binary64
277×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01755
140152
2528240
Stop Event
1×node limit
Counts
4 → 196
Calls
Call 1
Inputs
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 918938533204673/2000000000000000 y))))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 918938533204673/2000000000000000 y)))
(+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 918938533204673/2000000000000000 y))
(*.f64 918938533204673/2000000000000000 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) (neg.f64 (/.f64 (*.f64 1/8 (pow.f64 y 3)) (fma.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 y (fma.f64 y 1/4 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simplify185.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
1208×sqr-pow_binary64
564×cube-prod_binary64
536×unswap-sqr_binary64
534×fabs-mul_binary64
502×pow-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025317
163285
294274
3159234
4327234
51034234
62369234
72557234
82808234
93095234
103474234
113984234
124589234
135298234
145771234
156092234
166364234
176532234
186622234
197299234
Stop Event
1×node limit
Counts
232 → 214
Calls
Call 1
Inputs
120447111424202899456/131072000000000000000
(+.f64 120447111424202899456/131072000000000000000 (*.f64 -131072/262144 y))
(+.f64 120447111424202899456/131072000000000000000 (+.f64 (*.f64 0/268435456 (pow.f64 y 2)) (*.f64 -131072/262144 y)))
(+.f64 (*.f64 0/16384 (pow.f64 y 3)) (+.f64 120447111424202899456/131072000000000000000 (+.f64 (*.f64 0/268435456 (pow.f64 y 2)) (*.f64 -131072/262144 y))))
(*.f64 -1/2 y)
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
844448027808355901771309036929/1000000000000000000000000000000
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y)))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y)))
(*.f64 1/4 (pow.f64 y 2))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y)))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y)))
(*.f64 1/4 (pow.f64 y 2))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y)))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y)))
(*.f64 918938533204673/2000000000000000 y)
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(*.f64 1/4 (pow.f64 y 2))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(*.f64 1/4 (pow.f64 y 2))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
Outputs
120447111424202899456/131072000000000000000
918938533204673/1000000000000000
(+.f64 120447111424202899456/131072000000000000000 (*.f64 -131072/262144 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(+.f64 120447111424202899456/131072000000000000000 (+.f64 (*.f64 0/268435456 (pow.f64 y 2)) (*.f64 -131072/262144 y)))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(+.f64 (*.f64 0/16384 (pow.f64 y 3)) (+.f64 120447111424202899456/131072000000000000000 (+.f64 (*.f64 0/268435456 (pow.f64 y 2)) (*.f64 -131072/262144 y))))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(*.f64 -1/2 y)
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(*.f64 -1/2 y)
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
844448027808355901771309036929/1000000000000000000000000000000
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y)))
(fma.f64 1/4 (*.f64 y y) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000)))
(fma.f64 (*.f64 y y) 1/4 (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y (*.f64 y 1/4) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y)))
(fma.f64 1/4 (*.f64 y y) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000)))
(fma.f64 (*.f64 y y) 1/4 (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y (*.f64 y 1/4) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)
(*.f64 1/4 (pow.f64 y 2))
(*.f64 (*.f64 y y) 1/4)
(*.f64 y (*.f64 y 1/4))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(fma.f64 1/4 (*.f64 y y) (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 (*.f64 y (*.f64 y 1/4)))
(*.f64 y (+.f64 918938533204673/2000000000000000 (*.f64 y 1/4)))
(*.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y)))
(fma.f64 1/4 (*.f64 y y) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000)))
(fma.f64 (*.f64 y y) 1/4 (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y (*.f64 y 1/4) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y)))
(fma.f64 1/4 (*.f64 y y) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000)))
(fma.f64 (*.f64 y y) 1/4 (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y (*.f64 y 1/4) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)
(*.f64 1/4 (pow.f64 y 2))
(*.f64 (*.f64 y y) 1/4)
(*.f64 y (*.f64 y 1/4))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(fma.f64 1/4 (*.f64 y y) (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 (*.f64 y (*.f64 y 1/4)))
(*.f64 y (+.f64 918938533204673/2000000000000000 (*.f64 y 1/4)))
(*.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y)))
(fma.f64 1/4 (*.f64 y y) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000)))
(fma.f64 (*.f64 y y) 1/4 (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y (*.f64 y 1/4) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y)))
(fma.f64 1/4 (*.f64 y y) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000)))
(fma.f64 (*.f64 y y) 1/4 (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y (*.f64 y 1/4) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 y 918938533204673/2000000000000000)
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(fma.f64 1/4 (*.f64 y y) (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 (*.f64 y (*.f64 y 1/4)))
(*.f64 y (+.f64 918938533204673/2000000000000000 (*.f64 y 1/4)))
(*.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(fma.f64 1/4 (*.f64 y y) (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 (*.f64 y (*.f64 y 1/4)))
(*.f64 y (+.f64 918938533204673/2000000000000000 (*.f64 y 1/4)))
(*.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(fma.f64 1/4 (*.f64 y y) (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 (*.f64 y (*.f64 y 1/4)))
(*.f64 y (+.f64 918938533204673/2000000000000000 (*.f64 y 1/4)))
(*.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000))
(*.f64 1/4 (pow.f64 y 2))
(*.f64 (*.f64 y y) 1/4)
(*.f64 y (*.f64 y 1/4))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(fma.f64 1/4 (*.f64 y y) (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 (*.f64 y (*.f64 y 1/4)))
(*.f64 y (+.f64 918938533204673/2000000000000000 (*.f64 y 1/4)))
(*.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(fma.f64 1/4 (*.f64 y y) (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 (*.f64 y (*.f64 y 1/4)))
(*.f64 y (+.f64 918938533204673/2000000000000000 (*.f64 y 1/4)))
(*.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(fma.f64 1/4 (*.f64 y y) (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 (*.f64 y (*.f64 y 1/4)))
(*.f64 y (+.f64 918938533204673/2000000000000000 (*.f64 y 1/4)))
(*.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000))
(*.f64 1/4 (pow.f64 y 2))
(*.f64 (*.f64 y y) 1/4)
(*.f64 y (*.f64 y 1/4))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(fma.f64 1/4 (*.f64 y y) (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 (*.f64 y (*.f64 y 1/4)))
(*.f64 y (+.f64 918938533204673/2000000000000000 (*.f64 y 1/4)))
(*.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(fma.f64 1/4 (*.f64 y y) (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 (*.f64 y (*.f64 y 1/4)))
(*.f64 y (+.f64 918938533204673/2000000000000000 (*.f64 y 1/4)))
(*.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 918938533204673/2000000000000000 y))
(fma.f64 1/4 (*.f64 y y) (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 (*.f64 y (*.f64 y 1/4)))
(*.f64 y (+.f64 918938533204673/2000000000000000 (*.f64 y 1/4)))
(*.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000))

eval131.0ms (2.3%)

Compiler

Compiled 5337 to 4067 computations (23.8% saved)

prune45.0ms (0.8%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New2582260
Fresh101
Picked101
Done088
Total26010270
Error
0b
Counts
270 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.7b
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓45.5b
(*.f64 -1/2 y)
✓42.3b
(neg.f64 x)
✓34.2b
(-.f64 (*.f64 y x) x)
✓34.2b
(*.f64 (-.f64 y 1) x)
▶46.7b
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000)))
46.5b
918938533204673/1000000000000000
✓37.6b
(*.f64 y (-.f64 x 1/2))
✓54.4b
(*.f64 y x)
✓26.0b
(-.f64 918938533204673/1000000000000000 x)
Compiler

Compiled 65 to 50 computations (23.1% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 y 918938533204673/2000000000000000)
✓0.0b
(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3)))
✓0.0b
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000))
✓4.6b
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000)))
Compiler

Compiled 44 to 36 computations (18.2% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000)))
1.0ms
y
@0
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000)))
0.0ms
y
@inf
(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3)))
0.0ms
y
@-inf
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000)))
0.0ms
y
@0
(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3)))

rewrite295.0ms (5.1%)

Algorithm
1×batch-egg-rewrite
Rules
632×log-prod_binary64
533×prod-diff_binary64
247×expm1-udef_binary64
247×log1p-udef_binary64
245×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01340
130636
2385332
Stop Event
1×node limit
Counts
4 → 256
Calls
Call 1
Inputs
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000)))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000))
(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3)))
(*.f64 y 918938533204673/2000000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/8 (/.f64 (pow.f64 y 3) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))))) (sqrt.f64 (*.f64 1/8 (/.f64 (pow.f64 y 3) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)))) (*.f64 1/8 (/.f64 (pow.f64 y 3) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)) (fma.f64 (neg.f64 (/.f64 (pow.f64 y 3) (sqrt.f64 (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)))) (/.f64 1/8 (sqrt.f64 (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))) (*.f64 1/8 (/.f64 (pow.f64 y 3) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)) (fma.f64 (neg.f64 (/.f64 1/8 (sqrt.f64 (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)))) (/.f64 (pow.f64 y 3) (sqrt.f64 (fma.f64 y 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844448027808355901771309036929/1000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)) (neg.f64 (*.f64 1/8 (/.f64 (pow.f64 y 3) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (fma.f64 y 918938533204673/2000000000000000 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775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 y 3/2)) (neg.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 y 3/2))) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/8 (pow.f64 y 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) -1/8)) (cbrt.f64 (*.f64 (pow.f64 y 3) -1/8))) (cbrt.f64 (*.f64 (pow.f64 y 3) -1/8)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (pow.f64 y 3) -1/8)) (sqrt.f64 (*.f64 (pow.f64 y 3) -1/8)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 1/8 (pow.f64 y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 y 3)) 1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (*.f64 y (cbrt.f64 1/8)) 2)) (*.f64 y (cbrt.f64 1/8)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 y 3/2))) (*.f64 (sqrt.f64 1/8) (pow.f64 y 3/2)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/8 y) (*.f64 y y) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/8 (*.f64 y y)) y 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/8 (pow.f64 y 3/2)) (pow.f64 y 3/2) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y 918938533204673/2000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 918938533204673/2000000000000000) y)) (cbrt.f64 (pow.f64 (exp.f64 918938533204673/2000000000000000) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 918938533204673/2000000000000000) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 918938533204673/2000000000000000) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 918938533204673/2000000000000000) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y 918938533204673/2000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 918938533204673/2000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 918938533204673/2000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 918938533204673/2000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 775995832041789488711238455368417219672369217/8000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y 918938533204673/2000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 918938533204673/2000000000000000) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y 918938533204673/2000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 775995832041789488711238455368417219672369217/8000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 918938533204673/2000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 918938533204673/2000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 918938533204673/2000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y 918938533204673/2000000000000000)) 1))))))

simplify121.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
770×fma-neg_binary64
656×fma-def_binary64
437×distribute-rgt-neg-in_binary64
339×distribute-lft-neg-in_binary64
335×associate-/l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037372
188322
2205320
3561298
41378295
52456295
63998295
77878295
Stop Event
1×node limit
Counts
304 → 280
Calls
Call 1
Inputs
120447111424202899456/131072000000000000000
(+.f64 120447111424202899456/131072000000000000000 (*.f64 -131072/262144 y))
(+.f64 (*.f64 4000000000000000/14703016531274768 (pow.f64 y 2)) (+.f64 120447111424202899456/131072000000000000000 (*.f64 -131072/262144 y)))
(+.f64 (*.f64 4000000000000000/14703016531274768 (pow.f64 y 2)) (+.f64 (*.f64 -250000000000000000000000000000/844448027808355901771309036929 (pow.f64 y 3)) (+.f64 120447111424202899456/131072000000000000000 (*.f64 -131072/262144 y))))
(*.f64 -250000000000000/918938533204673 (pow.f64 y 2))
(+.f64 (*.f64 -250000000000000/918938533204673 (pow.f64 y 2)) (*.f64 1/2 y))
(-.f64 (+.f64 (*.f64 -250000000000000/918938533204673 (pow.f64 y 2)) (*.f64 1/2 y)) 918938533204673/1000000000000000)
(-.f64 (+.f64 (*.f64 844448027808355901771309036929/250000000000000000000000000000 (/.f64 1 y)) (+.f64 (*.f64 -250000000000000/918938533204673 (pow.f64 y 2)) (*.f64 1/2 y))) 918938533204673/1000000000000000)
(*.f64 -250000000000000/918938533204673 (pow.f64 y 2))
(+.f64 (*.f64 -250000000000000/918938533204673 (pow.f64 y 2)) (*.f64 1/2 y))
(-.f64 (+.f64 (*.f64 -250000000000000/918938533204673 (pow.f64 y 2)) (*.f64 1/2 y)) 918938533204673/1000000000000000)
(-.f64 (+.f64 (*.f64 844448027808355901771309036929/250000000000000000000000000000 (/.f64 1 y)) (+.f64 (*.f64 -250000000000000/918938533204673 (pow.f64 y 2)) (*.f64 1/2 y))) 918938533204673/1000000000000000)
844448027808355901771309036929/1000000000000000000000000000000
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(*.f64 918938533204673/2000000000000000 y)
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(*.f64 918938533204673/2000000000000000 y)
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 y 3)))
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 y 3)))
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 y 3)))
(*.f64 -1/8 (pow.f64 y 3))
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 y 3)))
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 y 3)))
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 y 3)))
(*.f64 -1/8 (pow.f64 y 3))
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 y 3)))
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 y 3)))
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 y 3)))
(*.f64 918938533204673/2000000000000000 y)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 918938533204673/2000000000000000 y)
Outputs
120447111424202899456/131072000000000000000
918938533204673/1000000000000000
(+.f64 120447111424202899456/131072000000000000000 (*.f64 -131072/262144 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(+.f64 (*.f64 4000000000000000/14703016531274768 (pow.f64 y 2)) (+.f64 120447111424202899456/131072000000000000000 (*.f64 -131072/262144 y)))
(fma.f64 250000000000000/918938533204673 (*.f64 y y) (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)))
(fma.f64 250000000000000/918938533204673 (*.f64 y y) (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (*.f64 y 250000000000000/918938533204673) (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (fma.f64 y 250000000000000/918938533204673 -1/2) 918938533204673/1000000000000000)
(+.f64 (*.f64 4000000000000000/14703016531274768 (pow.f64 y 2)) (+.f64 (*.f64 -250000000000000000000000000000/844448027808355901771309036929 (pow.f64 y 3)) (+.f64 120447111424202899456/131072000000000000000 (*.f64 -131072/262144 y))))
(fma.f64 250000000000000/918938533204673 (*.f64 y y) (fma.f64 -250000000000000000000000000000/844448027808355901771309036929 (pow.f64 y 3) (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))))
(fma.f64 250000000000000/918938533204673 (*.f64 y y) (fma.f64 -250000000000000000000000000000/844448027808355901771309036929 (pow.f64 y 3) (fma.f64 -1/2 y 918938533204673/1000000000000000)))
(fma.f64 y (*.f64 y 250000000000000/918938533204673) (fma.f64 -250000000000000000000000000000/844448027808355901771309036929 (pow.f64 y 3) (fma.f64 -1/2 y 918938533204673/1000000000000000)))
(fma.f64 (*.f64 y y) (fma.f64 y -250000000000000000000000000000/844448027808355901771309036929 250000000000000/918938533204673) (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (fma.f64 y (fma.f64 y -250000000000000000000000000000/844448027808355901771309036929 250000000000000/918938533204673) -1/2) 918938533204673/1000000000000000)
(*.f64 -250000000000000/918938533204673 (pow.f64 y 2))
(*.f64 (*.f64 y y) -250000000000000/918938533204673)
(*.f64 y (*.f64 y -250000000000000/918938533204673))
(+.f64 (*.f64 -250000000000000/918938533204673 (pow.f64 y 2)) (*.f64 1/2 y))
(fma.f64 -250000000000000/918938533204673 (*.f64 y y) (*.f64 y 1/2))
(fma.f64 (*.f64 y y) -250000000000000/918938533204673 (*.f64 y 1/2))
(*.f64 y (+.f64 (*.f64 y -250000000000000/918938533204673) 1/2))
(*.f64 y (fma.f64 y -250000000000000/918938533204673 1/2))
(-.f64 (+.f64 (*.f64 -250000000000000/918938533204673 (pow.f64 y 2)) (*.f64 1/2 y)) 918938533204673/1000000000000000)
(+.f64 (fma.f64 -250000000000000/918938533204673 (*.f64 y y) (*.f64 y 1/2)) -918938533204673/1000000000000000)
(fma.f64 (*.f64 y y) -250000000000000/918938533204673 (fma.f64 y 1/2 -918938533204673/1000000000000000))
(fma.f64 y (*.f64 y -250000000000000/918938533204673) (fma.f64 y 1/2 -918938533204673/1000000000000000))
(fma.f64 y (fma.f64 y -250000000000000/918938533204673 1/2) -918938533204673/1000000000000000)
(-.f64 (+.f64 (*.f64 844448027808355901771309036929/250000000000000000000000000000 (/.f64 1 y)) (+.f64 (*.f64 -250000000000000/918938533204673 (pow.f64 y 2)) (*.f64 1/2 y))) 918938533204673/1000000000000000)
(+.f64 (/.f64 844448027808355901771309036929/250000000000000000000000000000 y) (+.f64 (fma.f64 -250000000000000/918938533204673 (*.f64 y y) (*.f64 y 1/2)) -918938533204673/1000000000000000))
(+.f64 (fma.f64 (*.f64 y y) -250000000000000/918938533204673 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/250000000000000000000000000000 y))
(+.f64 (fma.f64 y (*.f64 y -250000000000000/918938533204673) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/250000000000000000000000000000 y))
(+.f64 (fma.f64 y (fma.f64 y -250000000000000/918938533204673 1/2) -918938533204673/1000000000000000) (/.f64 844448027808355901771309036929/250000000000000000000000000000 y))
(*.f64 -250000000000000/918938533204673 (pow.f64 y 2))
(*.f64 (*.f64 y y) -250000000000000/918938533204673)
(*.f64 y (*.f64 y -250000000000000/918938533204673))
(+.f64 (*.f64 -250000000000000/918938533204673 (pow.f64 y 2)) (*.f64 1/2 y))
(fma.f64 -250000000000000/918938533204673 (*.f64 y y) (*.f64 y 1/2))
(fma.f64 (*.f64 y y) -250000000000000/918938533204673 (*.f64 y 1/2))
(*.f64 y (+.f64 (*.f64 y -250000000000000/918938533204673) 1/2))
(*.f64 y (fma.f64 y -250000000000000/918938533204673 1/2))
(-.f64 (+.f64 (*.f64 -250000000000000/918938533204673 (pow.f64 y 2)) (*.f64 1/2 y)) 918938533204673/1000000000000000)
(+.f64 (fma.f64 -250000000000000/918938533204673 (*.f64 y y) (*.f64 y 1/2)) -918938533204673/1000000000000000)
(fma.f64 (*.f64 y y) -250000000000000/918938533204673 (fma.f64 y 1/2 -918938533204673/1000000000000000))
(fma.f64 y (*.f64 y -250000000000000/918938533204673) (fma.f64 y 1/2 -918938533204673/1000000000000000))
(fma.f64 y (fma.f64 y -250000000000000/918938533204673 1/2) -918938533204673/1000000000000000)
(-.f64 (+.f64 (*.f64 844448027808355901771309036929/250000000000000000000000000000 (/.f64 1 y)) (+.f64 (*.f64 -250000000000000/918938533204673 (pow.f64 y 2)) (*.f64 1/2 y))) 918938533204673/1000000000000000)
(+.f64 (/.f64 844448027808355901771309036929/250000000000000000000000000000 y) (+.f64 (fma.f64 -250000000000000/918938533204673 (*.f64 y y) (*.f64 y 1/2)) -918938533204673/1000000000000000))
(+.f64 (fma.f64 (*.f64 y y) -250000000000000/918938533204673 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/250000000000000000000000000000 y))
(+.f64 (fma.f64 y (*.f64 y -250000000000000/918938533204673) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/250000000000000000000000000000 y))
(+.f64 (fma.f64 y (fma.f64 y -250000000000000/918938533204673 1/2) -918938533204673/1000000000000000) (/.f64 844448027808355901771309036929/250000000000000000000000000000 y))
844448027808355901771309036929/1000000000000000000000000000000
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 y 918938533204673/2000000000000000)
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 y 918938533204673/2000000000000000)
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/2000000000000000 y))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000))
(fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000)
775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 y 3)))
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) -1/8))
(fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 y 3)))
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) -1/8))
(fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 y 3)))
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) -1/8))
(fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(*.f64 -1/8 (pow.f64 y 3))
(*.f64 (pow.f64 y 3) -1/8)
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 y 3)))
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) -1/8))
(fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 y 3)))
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) -1/8))
(fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 y 3)))
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) -1/8))
(fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(*.f64 -1/8 (pow.f64 y 3))
(*.f64 (pow.f64 y 3) -1/8)
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 y 3)))
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) -1/8))
(fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 y 3)))
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) -1/8))
(fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 y 3)))
(+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) -1/8))
(fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 y 918938533204673/2000000000000000)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 y 918938533204673/2000000000000000)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 y 918938533204673/2000000000000000)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 y 918938533204673/2000000000000000)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 y 918938533204673/2000000000000000)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 y 918938533204673/2000000000000000)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 y 918938533204673/2000000000000000)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 y 918938533204673/2000000000000000)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 y 918938533204673/2000000000000000)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 y 918938533204673/2000000000000000)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 y 918938533204673/2000000000000000)
(*.f64 918938533204673/2000000000000000 y)
(*.f64 y 918938533204673/2000000000000000)

eval448.0ms (7.8%)

Compiler

Compiled 10645 to 9027 computations (15.2% saved)

prune45.0ms (0.8%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New2782280
Fresh101
Picked101
Done088
Total28010290
Error
0b
Counts
290 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.7b
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓45.5b
(*.f64 -1/2 y)
46.5b
120447111424202899456/131072000000000000000
✓54.4b
(*.f64 y x)
✓42.3b
(neg.f64 x)
✓34.2b
(-.f64 (*.f64 y x) x)
✓34.2b
(*.f64 (-.f64 y 1) x)
46.7b
(/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000)))
✓37.6b
(*.f64 y (-.f64 x 1/2))
✓26.0b
(-.f64 918938533204673/1000000000000000 x)
Compiler

Compiled 59 to 45 computations (23.7% saved)

regimes71.0ms (1.2%)

Counts
17 → 1
Calls
Call 1
Inputs
120447111424202899456/131072000000000000000
918938533204673/1000000000000000
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(*.f64 y (-.f64 x 1/2))
(/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000)))
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000)))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 918938533204673/2000000000000000 y))))
(pow.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 2)
Outputs
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
Calls

6 calls:

18.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
11.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
10.0ms
y
10.0ms
x
9.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
0.0b1(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
0.0b1(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
0.0b1(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
Compiler

Compiled 159 to 115 computations (27.7% saved)

regimes36.0ms (0.6%)

Counts
13 → 1
Calls
Call 1
Inputs
120447111424202899456/131072000000000000000
918938533204673/1000000000000000
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(*.f64 y (-.f64 x 1/2))
(/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000)))
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Calls

4 calls:

9.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
8.0ms
x
8.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
8.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
0.0b1(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
Compiler

Compiled 84 to 58 computations (31% saved)

regimes46.0ms (0.8%)

Counts
12 → 3
Calls
Call 1
Inputs
120447111424202899456/131072000000000000000
918938533204673/1000000000000000
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(*.f64 y (-.f64 x 1/2))
(/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y 918938533204673/2000000000000000)))
Outputs
(-.f64 (*.f64 y x) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(*.f64 (-.f64 y 1) x)
Calls

2 calls:

22.0ms
x
21.0ms
y
Results
ErrorSegmentsBranch
1.0b3x
1.8b3y
Compiler

Compiled 49 to 32 computations (34.7% saved)

bsearch38.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.0076241783740685866
187086231.20009613
19.0ms
-1893996.518206688
-0.00010783262426551522
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes48.0ms (0.8%)

Counts
9 → 3
Calls
Call 1
Inputs
120447111424202899456/131072000000000000000
918938533204673/1000000000000000
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
Outputs
(*.f64 -1/2 y)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1/2 y)
Calls

2 calls:

29.0ms
x
17.0ms
y
Results
ErrorSegmentsBranch
13.5b5x
9.5b3y
Compiler

Compiled 32 to 19 computations (40.6% saved)

bsearch39.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.8347541720076823
9650.716840832567
18.0ms
-5811.962875512381
-0.45100847663358534
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes292.0ms (5.1%)

Counts
6 → 8
Calls
Call 1
Inputs
120447111424202899456/131072000000000000000
918938533204673/1000000000000000
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
Outputs
(neg.f64 x)
(*.f64 y x)
120447111424202899456/131072000000000000000
(*.f64 -1/2 y)
120447111424202899456/131072000000000000000
(neg.f64 x)
(*.f64 y x)
(neg.f64 x)
Calls

2 calls:

172.0ms
x
118.0ms
y
Results
ErrorSegmentsBranch
19.6b8x
21.1b9y
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch299.0ms (5.2%)

Algorithm
7×binary-search
Steps
TimeLeftRight
46.0ms
8.749729469489605e+140
6.511450188878778e+141
71.0ms
6.148198503519866e+102
1.6696559727068816e+103
19.0ms
0.0076241783740685866
187086231.20009613
21.0ms
4.723611630009177e-68
1.1608972685982875e-61
18.0ms
-1.6432814407620483e-48
-3.783198926572537e-59
19.0ms
-1893996.518206688
-0.00010783262426551522
105.0ms
-1.9471400328440545e+93
-1.6096166754686648e+90
Compiler

Compiled 227 to 166 computations (26.9% saved)

regimes62.0ms (1.1%)

Counts
5 → 9
Calls
Call 1
Inputs
120447111424202899456/131072000000000000000
918938533204673/1000000000000000
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
Outputs
(*.f64 -1/2 y)
(neg.f64 x)
120447111424202899456/131072000000000000000
(neg.f64 x)
120447111424202899456/131072000000000000000
(neg.f64 x)
120447111424202899456/131072000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
Calls

2 calls:

37.0ms
y
23.0ms
x
Results
ErrorSegmentsBranch
22.2b5x
21.1b9y
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch160.0ms (2.8%)

Algorithm
8×binary-search
Steps
TimeLeftRight
19.0ms
0.8347541720076823
9650.716840832567
19.0ms
1.4654941647389007e-136
1.0929361197505652e-135
20.0ms
3.9076508916098936e-210
5.994121492285879e-207
19.0ms
1.1753641025335908e-284
3.6539470339527476e-282
21.0ms
-4.39476807761709e-279
-1.4343255193233054e-282
20.0ms
-1.92247434841579e-197
-1.3474192184938065e-199
19.0ms
-1.1099673577962435e-125
-6.255843137097689e-126
21.0ms
-0.45100847663358534
-2.687485660733341e-9
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes43.0ms (0.8%)

Counts
4 → 3
Calls
Call 1
Inputs
120447111424202899456/131072000000000000000
918938533204673/1000000000000000
918938533204673/1000000000000000
(neg.f64 x)
Outputs
(neg.f64 x)
120447111424202899456/131072000000000000000
(neg.f64 x)
Calls

2 calls:

28.0ms
y
14.0ms
x
Results
ErrorSegmentsBranch
26.8b3x
37.6b7y
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch53.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
0.0076241783740685866
187086231.20009613
20.0ms
-845551160.2319802
-1893996.518206688
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes20.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
3 → 1
Calls
Call 1
Inputs
120447111424202899456/131072000000000000000
918938533204673/1000000000000000
918938533204673/1000000000000000
Outputs
120447111424202899456/131072000000000000000
Calls

2 calls:

9.0ms
x
9.0ms
y
Results
ErrorSegmentsBranch
46.5b1x
46.5b1y
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify30.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
12×+-commutative_binary64
11×sub-neg_binary64
8×*-commutative_binary64
4×cancel-sign-sub-inv_binary64
4×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079240
1106240
2124240
3131240
4134240
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(if (<=.f64 x -8134653104435594/4294967296) (-.f64 (*.f64 y x) x) (if (<=.f64 x 140641267238754224/18446744073709551616) (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) (*.f64 (-.f64 y 1) x)))
(if (<=.f64 y -1597580190457075/274877906944) (*.f64 -1/2 y) (if (<=.f64 y 15398496575487037440/18446744073709551616) (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)))
(if (<=.f64 x -1650000000000000040815266304459542611542941093237974340931587075593817918287053080951259136) (neg.f64 x) (if (<=.f64 x -8134653104435594/4294967296) (*.f64 y x) (if (<=.f64 x -676006774933827/411376139330301510538742295639337626245683966408394965837152256) 120447111424202899456/131072000000000000000 (if (<=.f64 x 5735258357859061/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (*.f64 -1/2 y) (if (<=.f64 x 140641267238754224/18446744073709551616) 120447111424202899456/131072000000000000000 (if (<=.f64 x 16500000000000000429467228042451347871869058117332340264386178628767932801736995987887994004311675764736) (neg.f64 x) (if (<=.f64 x 900000000000000032201630115445427866895972541854734685274700815489997183347504377087224349010200054716311396064751331411148489670883775873024) (*.f64 y x) (neg.f64 x))))))))
(if (<=.f64 y -8319637943533363200/18446744073709551616) (*.f64 -1/2 y) (if (<=.f64 y -8459567846920155/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) (neg.f64 x) (if (<=.f64 y -6471984857540937/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064) 120447111424202899456/131072000000000000000 (if (<=.f64 y -5613603379433343/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272) (neg.f64 x) (if (<=.f64 y 983916212845707/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792) 120447111424202899456/131072000000000000000 (if (<=.f64 y 2892827371415785/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328) (neg.f64 x) (if (<=.f64 y 1964906428327083520/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) 120447111424202899456/131072000000000000000 (if (<=.f64 y 15398496575487037440/18446744073709551616) (neg.f64 x) (*.f64 -1/2 y)))))))))
(if (<=.f64 x -3631614580291210752/4294967296) (neg.f64 x) (if (<=.f64 x 140641267238754224/18446744073709551616) 120447111424202899456/131072000000000000000 (neg.f64 x)))
120447111424202899456/131072000000000000000
Outputs
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 y -1/2)))
(if (<=.f64 x -8134653104435594/4294967296) (-.f64 (*.f64 y x) x) (if (<=.f64 x 140641267238754224/18446744073709551616) (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) (*.f64 (-.f64 y 1) x)))
(if (<=.f64 x -4067326552217797/2147483648) (-.f64 (*.f64 y x) x) (if (<=.f64 x 8790079202422139/1152921504606846976) (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) (*.f64 x (+.f64 y -1))))
(if (<=.f64 y -1597580190457075/274877906944) (*.f64 -1/2 y) (if (<=.f64 y 15398496575487037440/18446744073709551616) (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)))
(if (<=.f64 y -1597580190457075/274877906944) (*.f64 y -1/2) (if (<=.f64 y 3759398577999765/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (*.f64 y -1/2)))
(if (<=.f64 x -1650000000000000040815266304459542611542941093237974340931587075593817918287053080951259136) (neg.f64 x) (if (<=.f64 x -8134653104435594/4294967296) (*.f64 y x) (if (<=.f64 x -676006774933827/411376139330301510538742295639337626245683966408394965837152256) 120447111424202899456/131072000000000000000 (if (<=.f64 x 5735258357859061/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (*.f64 -1/2 y) (if (<=.f64 x 140641267238754224/18446744073709551616) 120447111424202899456/131072000000000000000 (if (<=.f64 x 16500000000000000429467228042451347871869058117332340264386178628767932801736995987887994004311675764736) (neg.f64 x) (if (<=.f64 x 900000000000000032201630115445427866895972541854734685274700815489997183347504377087224349010200054716311396064751331411148489670883775873024) (*.f64 y x) (neg.f64 x))))))))
(if (<=.f64 x -1650000000000000040815266304459542611542941093237974340931587075593817918287053080951259136) (neg.f64 x) (if (<=.f64 x -4067326552217797/2147483648) (*.f64 y x) (if (<=.f64 x -676006774933827/411376139330301510538742295639337626245683966408394965837152256) 918938533204673/1000000000000000 (if (<=.f64 x 5735258357859061/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (*.f64 y -1/2) (if (<=.f64 x 8790079202422139/1152921504606846976) 918938533204673/1000000000000000 (if (<=.f64 x 16500000000000000429467228042451347871869058117332340264386178628767932801736995987887994004311675764736) (neg.f64 x) (if (<=.f64 x 900000000000000032201630115445427866895972541854734685274700815489997183347504377087224349010200054716311396064751331411148489670883775873024) (*.f64 y x) (neg.f64 x))))))))
(if (<=.f64 y -8319637943533363200/18446744073709551616) (*.f64 -1/2 y) (if (<=.f64 y -8459567846920155/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) (neg.f64 x) (if (<=.f64 y -6471984857540937/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064) 120447111424202899456/131072000000000000000 (if (<=.f64 y -5613603379433343/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272) (neg.f64 x) (if (<=.f64 y 983916212845707/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792) 120447111424202899456/131072000000000000000 (if (<=.f64 y 2892827371415785/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328) (neg.f64 x) (if (<=.f64 y 1964906428327083520/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) 120447111424202899456/131072000000000000000 (if (<=.f64 y 15398496575487037440/18446744073709551616) (neg.f64 x) (*.f64 -1/2 y)))))))))
(if (<=.f64 y -1015580803653975/2251799813685248) (*.f64 y -1/2) (if (<=.f64 y -8459567846920155/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) (neg.f64 x) (if (<=.f64 y -6471984857540937/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064) 918938533204673/1000000000000000 (if (<=.f64 y -5613603379433343/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272) (neg.f64 x) (if (<=.f64 y 983916212845707/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792) 918938533204673/1000000000000000 (if (<=.f64 y 2892827371415785/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328) (neg.f64 x) (if (<=.f64 y 3837707867826335/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) 918938533204673/1000000000000000 (if (<=.f64 y 3759398577999765/4503599627370496) (neg.f64 x) (*.f64 y -1/2)))))))))
(if (<=.f64 x -3631614580291210752/4294967296) (neg.f64 x) (if (<=.f64 x 140641267238754224/18446744073709551616) 120447111424202899456/131072000000000000000 (neg.f64 x)))
(if (<=.f64 x -7092997227131271/8388608) (neg.f64 x) (if (<=.f64 x 8790079202422139/1152921504606846976) 918938533204673/1000000000000000 (neg.f64 x)))
120447111424202899456/131072000000000000000
918938533204673/1000000000000000
Compiler

Compiled 183 to 124 computations (32.2% saved)

soundness164.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
706×fma-neg_binary64
571×fma-def_binary64
225×cancel-sign-sub-inv_binary64
113×sub-neg_binary64
83×associate--r+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01116
12714
26212
313112
427011
557611
6109811
7182411
8260611
9277711
10280411
Stop Event
1×saturated
Compiler

Compiled 184 to 137 computations (25.5% saved)

end185.0ms (3.2%)

Compiler

Compiled 169 to 107 computations (36.7% saved)

Profiling

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