Details

Time bar (total: 5.2s)

analyze129.0ms (2.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
51.6%50%46.8%0.1%3.1%0%0%7
61.3%59.3%37.5%0.1%3.1%0%0%8
72.3%67.1%25.8%0.1%7%0%0%9
78.2%72.6%20.3%0.1%7%0%0%10
85.1%76.9%13.5%0.1%9.6%0%0%11
88.3%79.8%10.5%0.1%9.6%0%0%12
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1000.0ms (19.1%)

Results
955.0ms8256×body256valid
31.0ms286×body256infinite
Bogosity

preprocess122.0ms (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)

simplify57.0ms (1.1%)

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)

prune1.0ms (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)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 38 to 26 computations (31.6% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite84.0ms (1.6%)

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 x (-.f64 y 1))
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Outputs
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((#(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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simplify82.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
804×fma-neg_binary64
639×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
3474393
41225393
52056393
62587393
72773393
82850393
92854393
Stop Event
1×saturated
Counts
165 → 135
Calls
Call 1
Inputs
(*.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))
(-.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)))
Outputs
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 (+.f64 y -1) x)
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 (+.f64 y -1) x)
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 (+.f64 y -1) x)
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 (+.f64 y -1) x)
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 (+.f64 y -1) x)
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 (+.f64 y -1) x)
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 y x) x)
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(*.f64 (+.f64 y -1) x)
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 (+.f64 y -1) x)
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 (+.f64 y -1) x)
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 y x) 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 (*.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))
(-.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 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y 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))
(-.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))
(+.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 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
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(+.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 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x)))
(+.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 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x)))
(+.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 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(+.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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(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 (-.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 y (+.f64 x -1/2))
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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 (-.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 (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))

localize10.0ms (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))

rewrite65.0ms (1.2%)

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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(pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3)) (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 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 2)) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 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)))))

simplify73.0ms (1.4%)

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)

eval81.0ms (1.5%)

Compiler

Compiled 3517 to 2556 computations (27.3% saved)

prune57.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2017208
Fresh000
Picked101
Done101
Total2037210
Error
0b
Counts
210 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
8.4b
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
▶36.1b
(*.f64 x (-.f64 y 1))
33.6b
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3)) (fma.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 844448027808355901771309036929/1000000000000000000000000000000))
▶26.6b
(-.f64 918938533204673/1000000000000000 x)
▶27.1b
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
▶37.5b
(*.f64 y (-.f64 x 1/2))
▶0.0b
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
Compiler

Compiled 152 to 112 computations (26.3% saved)

localize27.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiled 30 to 20 computations (33.3% saved)

series12.0ms (0.2%)

Counts
3 → 42
Calls

18 calls:

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

rewrite149.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
877×prod-diff_binary64
472×log-prod_binary64
432×fma-def_binary64
288×pow2_binary64
228×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0930
121526
2304226
Stop Event
1×node limit
Counts
3 → 211
Calls
Call 1
Inputs
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
Outputs
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#<rule egg-rr> (2) ((x fma.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y (+.f64 x -1/2) (+.f64 918938533204673/1000000000000000 x))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y (+.f64 x -1/2) (+.f64 918938533204673/1000000000000000 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y (+.f64 x -1/2) (+.f64 918938533204673/1000000000000000 x))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (/.f64 1 (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (/.f64 1 (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 x)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 y)) (sqrt.f64 y) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))))))

simplify82.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
652×fma-neg_binary64
526×fma-def_binary64
132×cancel-sign-sub-inv_binary64
97×distribute-rgt-in_binary64
90×associate--r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029347
167329
2136320
3287311
4565311
51153311
61819311
72387311
82569311
92601311
Stop Event
1×saturated
Counts
253 → 229
Calls
Call 1
Inputs
918938533204673/1000000000000000
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000))
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000))
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000))
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))))
Outputs
918938533204673/1000000000000000
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(fma.f64 y -1/2 918938533204673/1000000000000000)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y -1/2 (fma.f64 y x 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y -1/2 (fma.f64 y x 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y -1/2 (fma.f64 y x 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y -1/2 (fma.f64 y x 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y -1/2 (fma.f64 y x 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y -1/2 (fma.f64 y x 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y -1/2 (fma.f64 y x 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y -1/2 (fma.f64 y x 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y -1/2 (fma.f64 y x 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 -1/2 y)
(*.f64 y -1/2)
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(fma.f64 y -1/2 918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

localize9.0ms (0.2%)

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))

rewrite71.0ms (1.4%)

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))))))))

simplify8.0ms (0.2%)

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)

eval115.0ms (2.2%)

Compiler

Compiled 4489 to 2999 computations (33.2% saved)

prune57.0ms (1.1%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New3137320
Fresh202
Picked011
Done044
Total31512327
Error
0b
Counts
327 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
39.2b
(/.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))))
✓26.6b
(-.f64 918938533204673/1000000000000000 x)
45.3b
918938533204673/1000000000000000
▶44.2b
(neg.f64 x)
▶44.8b
(*.f64 y -1/2)
▶55.2b
(*.f64 y x)
▶8.4b
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) x)
✓36.1b
(*.f64 x (-.f64 y 1))
✓27.1b
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
▶36.1b
(-.f64 (*.f64 y x) x)
✓37.5b
(*.f64 y (-.f64 x 1/2))
✓0.0b
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
Compiler

Compiled 142 to 107 computations (24.6% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 21 to 15 computations (28.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite69.0ms (1.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
067
11325
216055
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y -1/2 918938533204673/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y))) (/.f64 (*.f64 (*.f64 y y) 1/4) (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y -1/2 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y -1/2 918938533204673/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 y -1/2 918938533204673/1000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/2 918938533204673/1000000000000000)) 2) (cbrt.f64 (fma.f64 y -1/2 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y -1/2 918938533204673/1000000000000000)) (sqrt.f64 (fma.f64 y -1/2 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) -1/8)) (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y y) 1/4)) (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y y) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) -1/8)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) -1/8)) (+.f64 (*.f64 (*.f64 y y) 1/4) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 -918938533204673/2000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y y) 1/4)) (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) -1/8))) (neg.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y y) 1/4))) (neg.f64 (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -1/2 918938533204673/1000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -1/2 918938533204673/1000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -1/2 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -1/2 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -1/2 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -1/2 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1/2 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 y 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y -1/2) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/2)) 2) (cbrt.f64 (*.f64 y -1/2)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y -1/2)) (sqrt.f64 (*.f64 y -1/2)) 918938533204673/1000000000000000)))))

simplify10.0ms (0.2%)

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
44 → 36
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)

localize3.0ms (0.1%)

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)

localize5.0ms (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
x
@inf
(-.f64 (*.f64 y x) x)
0.0ms
x
@0
(-.f64 (*.f64 y x) x)
0.0ms
y
@-inf
(-.f64 (*.f64 y x) x)

rewrite54.0ms (1%)

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))))))

simplify22.0ms (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))

eval21.0ms (0.4%)

Compiler

Compiled 931 to 509 computations (45.3% saved)

prune17.0ms (0.3%)

Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New82082
Fresh022
Picked011
Done099
Total821294
Error
0b
Counts
94 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
▶39.2b
(/.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))))
✓26.6b
(-.f64 918938533204673/1000000000000000 x)
45.3b
918938533204673/1000000000000000
✓44.2b
(neg.f64 x)
✓44.8b
(*.f64 y -1/2)
✓55.2b
(*.f64 y x)
✓8.4b
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) x)
✓36.1b
(*.f64 x (-.f64 y 1))
✓27.1b
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓36.1b
(-.f64 (*.f64 y x) x)
✓37.5b
(*.f64 y (-.f64 x 1/2))
✓0.0b
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
Compiler

Compiled 91 to 69 computations (24.2% saved)

localize30.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓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)))
✓0.0b
(*.f64 918938533204673/2000000000000000 y)
✓14.6b
(/.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)

series7.0ms (0.1%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
2.0ms
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))))
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)

rewrite138.0ms (2.6%)

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 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))
Outputs
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simplify159.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
778×sqr-pow_binary64
618×associate-*l*_binary64
531×fma-def_binary64
490×cube-prod_binary64
478×fabs-mul_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
018299
137285
259274
3106234
4232234
5615234
62031234
73384234
83590234
93803234
104023234
114335234
124739234
135250234
145817234
156505234
167340234
177734234
Stop Event
1×node limit
Counts
232 → 211
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))
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
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)
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 1/4 (*.f64 y y) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y 918938533204673/2000000000000000 (fma.f64 y (*.f64 y 1/4) 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 1/4 (*.f64 y y) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y 918938533204673/2000000000000000 (fma.f64 y (*.f64 y 1/4) 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)
(*.f64 1/4 (pow.f64 y 2))
(*.f64 1/4 (*.f64 y y))
(*.f64 y (*.f64 y 1/4))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 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 1/4 (*.f64 y y) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y 918938533204673/2000000000000000 (fma.f64 y (*.f64 y 1/4) 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 1/4 (*.f64 y y) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y 918938533204673/2000000000000000 (fma.f64 y (*.f64 y 1/4) 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)
(*.f64 1/4 (pow.f64 y 2))
(*.f64 1/4 (*.f64 y y))
(*.f64 y (*.f64 y 1/4))
(+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 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 1/4 (*.f64 y y) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y 918938533204673/2000000000000000 (fma.f64 y (*.f64 y 1/4) 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 1/4 (*.f64 y y) (fma.f64 y 918938533204673/2000000000000000 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y 918938533204673/2000000000000000 (fma.f64 y (*.f64 y 1/4) 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 1/4 (*.f64 y y))
(*.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 1/4 (*.f64 y y))
(*.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))

eval136.0ms (2.6%)

Compiler

Compiled 4815 to 3866 computations (19.7% saved)

prune50.0ms (1%)

Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New2092211
Fresh101
Picked101
Done01010
Total21112223
Error
0b
Counts
223 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
45.3b
918938533204673/1000000000000000
✓44.8b
(*.f64 y -1/2)
✓55.2b
(*.f64 y x)
✓8.4b
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) x)
✓36.1b
(*.f64 x (-.f64 y 1))
39.2b
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 1/8 (pow.f64 y 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y (+.f64 918938533204673/2000000000000000 (*.f64 y 1/4)))))
✓27.1b
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓36.1b
(-.f64 (*.f64 y x) x)
✓26.6b
(-.f64 918938533204673/1000000000000000 x)
✓44.2b
(neg.f64 x)
✓37.5b
(*.f64 y (-.f64 x 1/2))
✓0.0b
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
Compiler

Compiled 89 to 68 computations (23.6% saved)

regimes91.0ms (1.7%)

Counts
18 → 1
Calls
Call 1
Inputs
918938533204673/1000000000000000
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (*.f64 y x) x)
(*.f64 x (-.f64 y 1))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(*.f64 y (-.f64 x 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) x)
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(+.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 (+.f64 918938533204673/2000000000000000 (*.f64 y 1/4)))))
(/.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 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3)) (fma.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 844448027808355901771309036929/1000000000000000000000000000000))
Outputs
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
Calls

6 calls:

15.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
15.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
13.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
13.0ms
y
13.0ms
x
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 195 to 137 computations (29.7% saved)

regimes49.0ms (0.9%)

Counts
14 → 1
Calls
Call 1
Inputs
918938533204673/1000000000000000
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (*.f64 y x) x)
(*.f64 x (-.f64 y 1))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(*.f64 y (-.f64 x 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) x)
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(+.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:

12.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
11.0ms
y
11.0ms
x
10.0ms
(+.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 x (-.f64 y 1)) (*.f64 y 1/2))
Compiler

Compiled 100 to 67 computations (33% saved)

regimes19.0ms (0.4%)

Counts
13 → 1
Calls
Call 1
Inputs
918938533204673/1000000000000000
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (*.f64 y x) x)
(*.f64 x (-.f64 y 1))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(*.f64 y (-.f64 x 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) x)
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
Outputs
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
Calls

2 calls:

8.0ms
y
7.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
Compiler

Compiled 65 to 41 computations (36.9% saved)

regimes43.0ms (0.8%)

Counts
12 → 3
Calls
Call 1
Inputs
918938533204673/1000000000000000
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (*.f64 y x) x)
(*.f64 x (-.f64 y 1))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(*.f64 y (-.f64 x 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) x)
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Outputs
(-.f64 (*.f64 y x) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) x)
(*.f64 x (-.f64 y 1))
Calls

2 calls:

20.0ms
y
19.0ms
x
Results
ErrorSegmentsBranch
0.4b3x
1.3b3y
Compiler

Compiled 56 to 35 computations (37.5% saved)

bsearch38.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
236542032794271.16
1376869029064869600.0
19.0ms
-1.0668657789567553e+21
-8022761051.771967
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes38.0ms (0.7%)

Counts
10 → 3
Calls
Call 1
Inputs
918938533204673/1000000000000000
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (*.f64 y x) x)
(*.f64 x (-.f64 y 1))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(*.f64 y (-.f64 x 1/2))
Outputs
(-.f64 (*.f64 y x) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(*.f64 x (-.f64 y 1))
Calls

2 calls:

18.0ms
y
17.0ms
x
Results
ErrorSegmentsBranch
1.3b3x
2.3b3y
Compiler

Compiled 41 to 25 computations (39% saved)

bsearch44.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
0.03465608800903597
8523287.41702914
19.0ms
-13074684.626674337
-0.07914721816430915
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes73.0ms (1.4%)

Counts
8 → 5
Calls
Call 1
Inputs
918938533204673/1000000000000000
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (*.f64 y x) x)
(*.f64 x (-.f64 y 1))
Outputs
(*.f64 y -1/2)
(-.f64 (*.f64 y x) x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 x (-.f64 y 1))
(*.f64 y -1/2)
Calls

2 calls:

45.0ms
x
25.0ms
y
Results
ErrorSegmentsBranch
14.7b7x
6.3b5y
Compiler

Compiled 31 to 18 computations (41.9% saved)

bsearch108.0ms (2.1%)

Algorithm
4×binary-search
Steps
TimeLeftRight
35.0ms
4964495694362770.0
5.794797902081731e+28
36.0ms
4.3630668289435733e-5
0.001724819161356056
36.0ms
-0.12276131731217566
-8.114326095434481e-7
0.0ms
-3.149376573246545e+55
-3.147714737255722e+55
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes121.0ms (2.3%)

Counts
7 → 5
Calls
Call 1
Inputs
918938533204673/1000000000000000
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (*.f64 y x) x)
Outputs
(*.f64 y -1/2)
(-.f64 (*.f64 y x) x)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (*.f64 y x) x)
(*.f64 y -1/2)
Calls

2 calls:

68.0ms
x
50.0ms
y
Results
ErrorSegmentsBranch
14.7b7x
6.3b5y
Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch109.0ms (2.1%)

Algorithm
4×binary-search
Steps
TimeLeftRight
36.0ms
4964495694362770.0
5.794797902081731e+28
37.0ms
4.3630668289435733e-5
0.001724819161356056
36.0ms
-0.12276131731217566
-8.114326095434481e-7
0.0ms
-3.149376573246545e+55
-3.147714737255722e+55
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes69.0ms (1.3%)

Counts
6 → 4
Calls
Call 1
Inputs
918938533204673/1000000000000000
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
Outputs
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y -1/2)
Calls

2 calls:

36.0ms
y
30.0ms
x
Results
ErrorSegmentsBranch
21.3b7x
8.5b4y
Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch38.0ms (0.7%)

Algorithm
3×binary-search
Steps
TimeLeftRight
19.0ms
0.0032189468108935145
29.7687749905366
19.0ms
-4956672372247334.0
-7636292361654.947
0.0ms
-3.149376573246545e+55
-3.147714737255722e+55
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes146.0ms (2.8%)

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

2 calls:

76.0ms
y
67.0ms
x
Results
ErrorSegmentsBranch
22.6b8x
21.3b9y
Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch153.0ms (2.9%)

Algorithm
8×binary-search
Steps
TimeLeftRight
19.0ms
0.0032189468108935145
29.7687749905366
19.0ms
4.0161219423515337e-144
2.357323110078612e-143
19.0ms
1.0769075225572525e-153
2.810817217217491e-150
19.0ms
7.892716739397749e-259
5.191315519788935e-257
20.0ms
-1.5801748928854413e-273
-8.943262364872858e-283
25.0ms
-6.470301115903365e-72
-7.98285015293293e-74
32.0ms
-0.12276131731217566
-8.114326095434481e-7
0.0ms
-3.149376573246545e+55
-3.147714737255722e+55
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes53.0ms (1%)

Counts
4 → 8
Calls
Call 1
Inputs
918938533204673/1000000000000000
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 y -1/2)
Outputs
(neg.f64 x)
(*.f64 y -1/2)
918938533204673/1000000000000000
(*.f64 y -1/2)
918938533204673/1000000000000000
(*.f64 y -1/2)
918938533204673/1000000000000000
(neg.f64 x)
Calls

2 calls:

30.0ms
x
22.0ms
y
Results
ErrorSegmentsBranch
22.6b8x
23.8b6y
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch202.0ms (3.9%)

Algorithm
7×binary-search
Steps
TimeLeftRight
20.0ms
0.03465608800903597
8523287.41702914
19.0ms
1.3686483116653674e-55
6.775049741027718e-51
85.0ms
3.2937821325078246e-253
1.90522870930062e-250
20.0ms
2.753000132744273e-262
6.414568001306475e-262
20.0ms
2.0064217054121652e-296
1.354955049452469e-294
19.0ms
-1.0337011326188743e-61
-6.567586716467765e-67
19.0ms
-9.89106774016047e-5
-2.0032062368585056e-11
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes156.0ms (3%)

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

2 calls:

132.0ms
y
22.0ms
x
Results
ErrorSegmentsBranch
27.5b3x
41.0b4y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch73.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
35.0ms
0.03465608800903597
8523287.41702914
37.0ms
-13074684.626674337
-0.07914721816430915
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes19.0ms (0.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
918938533204673/1000000000000000
918938533204673/1000000000000000
Outputs
918938533204673/1000000000000000
Calls

2 calls:

10.0ms
y
7.0ms
x
Results
ErrorSegmentsBranch
45.3b1x
45.3b1y
Compiler

Compiled 10 to 8 computations (20% saved)

simplify44.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
16×+-commutative_binary64
14×sub-neg_binary64
9×*-commutative_binary64
4×cancel-sign-sub-inv_binary64
4×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102398
1136398
2156398
3163398
4166398
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)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(if (<=.f64 x -1066865778956755271680) (-.f64 (*.f64 y x) x) (if (<=.f64 x 7569345049416677/32) (-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) x) (*.f64 x (-.f64 y 1))))
(if (<=.f64 x -7019417859635031/536870912) (-.f64 (*.f64 y x) x) (if (<=.f64 x 312154290087227/9007199254740992) (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) (*.f64 x (-.f64 y 1))))
(if (<=.f64 y -31480000000000001743219074064300213613418574485066350592) (*.f64 y -1/2) (if (<=.f64 y -1105735645805251/9007199254740992) (-.f64 (*.f64 y x) x) (if (<=.f64 y 6438750173601087/147573952589676412928) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 4964495694362770) (*.f64 x (-.f64 y 1)) (*.f64 y -1/2)))))
(if (<=.f64 y -31480000000000001743219074064300213613418574485066350592) (*.f64 y -1/2) (if (<=.f64 y -1105735645805251/9007199254740992) (-.f64 (*.f64 y x) x) (if (<=.f64 y 6438750173601087/147573952589676412928) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 4964495694362770) (-.f64 (*.f64 y x) x) (*.f64 y -1/2)))))
(if (<=.f64 y -31480000000000001743219074064300213613418574485066350592) (*.f64 y -1/2) (if (<=.f64 y -4956672372247334) (*.f64 y x) (if (<=.f64 y 7422386000929525/2305843009213693952) (-.f64 918938533204673/1000000000000000 x) (*.f64 y -1/2))))
(if (<=.f64 y -31480000000000001743219074064300213613418574485066350592) (*.f64 y -1/2) (if (<=.f64 y -1105735645805251/9007199254740992) (*.f64 y x) (if (<=.f64 y -6435662183013831/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) 918938533204673/1000000000000000 (if (<=.f64 y -1924912565512373/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872) (neg.f64 x) (if (<=.f64 y 1707900554947277/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) 918938533204673/1000000000000000 (if (<=.f64 y 8128417050277455/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (neg.f64 x) (if (<=.f64 y 3528942657619713/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) 918938533204673/1000000000000000 (if (<=.f64 y 7422386000929525/2305843009213693952) (neg.f64 x) (*.f64 y -1/2)))))))))
(if (<=.f64 x -7298319808738595/73786976294838206464) (neg.f64 x) (if (<=.f64 x -748090086205747/7237005577332262213973186563042994240829374041602535252466099000494570602496) (*.f64 y -1/2) (if (<=.f64 x 1846748429034593/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) 918938533204673/1000000000000000 (if (<=.f64 x 1220034881363009/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288) (*.f64 y -1/2) (if (<=.f64 x 2718886073994145/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) 918938533204673/1000000000000000 (if (<=.f64 x 3778425394031009/27606985387162255149739023449108101809804435888681546220650096895197184) (*.f64 y -1/2) (if (<=.f64 x 312154290087227/9007199254740992) 918938533204673/1000000000000000 (neg.f64 x))))))))
(if (<=.f64 x -7019417859635031/536870912) (neg.f64 x) (if (<=.f64 x 312154290087227/9007199254740992) 918938533204673/1000000000000000 (neg.f64 x)))
918938533204673/1000000000000000
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)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(if (<=.f64 x -1066865778956755271680) (-.f64 (*.f64 y x) x) (if (<=.f64 x 7569345049416677/32) (-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) x) (*.f64 x (-.f64 y 1))))
(if (<=.f64 x -1066865778956755271680) (-.f64 (*.f64 y x) x) (if (<=.f64 x 7569345049416677/32) (-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) x) (*.f64 x (+.f64 y -1))))
(if (<=.f64 x -7019417859635031/536870912) (-.f64 (*.f64 y x) x) (if (<=.f64 x 312154290087227/9007199254740992) (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) (*.f64 x (-.f64 y 1))))
(if (<=.f64 x -7019417859635031/536870912) (-.f64 (*.f64 y x) x) (if (<=.f64 x 312154290087227/9007199254740992) (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) (*.f64 x (+.f64 y -1))))
(if (<=.f64 y -31480000000000001743219074064300213613418574485066350592) (*.f64 y -1/2) (if (<=.f64 y -1105735645805251/9007199254740992) (-.f64 (*.f64 y x) x) (if (<=.f64 y 6438750173601087/147573952589676412928) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 4964495694362770) (*.f64 x (-.f64 y 1)) (*.f64 y -1/2)))))
(if (<=.f64 y -31480000000000001743219074064300213613418574485066350592) (*.f64 y -1/2) (if (<=.f64 y -1105735645805251/9007199254740992) (-.f64 (*.f64 y x) x) (if (<=.f64 y 6438750173601087/147573952589676412928) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 4964495694362770) (*.f64 x (+.f64 y -1)) (*.f64 y -1/2)))))
(if (<=.f64 y -31480000000000001743219074064300213613418574485066350592) (*.f64 y -1/2) (if (<=.f64 y -1105735645805251/9007199254740992) (-.f64 (*.f64 y x) x) (if (<=.f64 y 6438750173601087/147573952589676412928) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 4964495694362770) (-.f64 (*.f64 y x) x) (*.f64 y -1/2)))))
(if (<=.f64 y -31480000000000001743219074064300213613418574485066350592) (*.f64 y -1/2) (if (<=.f64 y -4956672372247334) (*.f64 y x) (if (<=.f64 y 7422386000929525/2305843009213693952) (-.f64 918938533204673/1000000000000000 x) (*.f64 y -1/2))))
(if (<=.f64 y -31480000000000001743219074064300213613418574485066350592) (*.f64 y -1/2) (if (<=.f64 y -1105735645805251/9007199254740992) (*.f64 y x) (if (<=.f64 y -6435662183013831/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) 918938533204673/1000000000000000 (if (<=.f64 y -1924912565512373/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872) (neg.f64 x) (if (<=.f64 y 1707900554947277/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) 918938533204673/1000000000000000 (if (<=.f64 y 8128417050277455/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (neg.f64 x) (if (<=.f64 y 3528942657619713/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) 918938533204673/1000000000000000 (if (<=.f64 y 7422386000929525/2305843009213693952) (neg.f64 x) (*.f64 y -1/2)))))))))
(if (<=.f64 x -7298319808738595/73786976294838206464) (neg.f64 x) (if (<=.f64 x -748090086205747/7237005577332262213973186563042994240829374041602535252466099000494570602496) (*.f64 y -1/2) (if (<=.f64 x 1846748429034593/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) 918938533204673/1000000000000000 (if (<=.f64 x 1220034881363009/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288) (*.f64 y -1/2) (if (<=.f64 x 2718886073994145/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) 918938533204673/1000000000000000 (if (<=.f64 x 3778425394031009/27606985387162255149739023449108101809804435888681546220650096895197184) (*.f64 y -1/2) (if (<=.f64 x 312154290087227/9007199254740992) 918938533204673/1000000000000000 (neg.f64 x))))))))
(if (<=.f64 x -7019417859635031/536870912) (neg.f64 x) (if (<=.f64 x 312154290087227/9007199254740992) 918938533204673/1000000000000000 (neg.f64 x)))
918938533204673/1000000000000000
Compiler

Compiled 302 to 206 computations (31.8% saved)

soundness170.0ms (3.3%)

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)

end302.0ms (5.8%)

Compiler

Compiled 280 to 174 computations (37.9% saved)

Profiling

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