Details

Time bar (total: 1.5s)

analyze3.0ms (0.2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%50%0%0%50%0%2
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample703.0ms (46.7%)

Results
693.0ms8256×body256valid
1.0ms13×body256invalid
Bogosity

preprocess15.0ms (1%)

Algorithm
2×egg-herbie
Rules
1×+-commutative_binary64
1×*-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11311
21411
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Outputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×*-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11311
21411
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Outputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))

eval0.0ms (0%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0.1%)

Counts
1 → 8
Calls

3 calls:

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

rewrite45.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
648×pow1_binary64
603×add-log-exp_binary64
602×log1p-expm1-u_binary64
602×expm1-log1p-u_binary64
587×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11469
217599
Stop Event
1×node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))))

simplify45.0ms (3%)

Algorithm
1×egg-herbie
Rules
440×fma-def_binary64
436×log-prod_binary64
314×fma-neg_binary64
242×unswap-sqr_binary64
233×exp-sum_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063278
1161242
2553206
32530202
47280202
Stop Event
1×node limit
Counts
22 → 35
Calls
Call 1
Inputs
x
(-.f64 x 1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1)
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 2)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x -1) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
Outputs
x
(-.f64 x 1/2)
(+.f64 x -1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
(+.f64 x (+.f64 -1/2 (/.f64 -1/8 x)))
(+.f64 (+.f64 x -1/2) (/.f64 -1/8 x))
(-.f64 x (+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))))
(-.f64 x (+.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x)))))
(+.f64 (+.f64 x -1/2) (*.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x))))
(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
x
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))
(-.f64 x 1/2)
(+.f64 x -1/2)
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
(+.f64 x (+.f64 -1/2 (/.f64 -1/8 x)))
(+.f64 (+.f64 x -1/2) (/.f64 -1/8 x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))))
(-.f64 x (+.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x)))))
(+.f64 (+.f64 x -1/2) (*.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x))))
(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x -1) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 x 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 x (-.f64 x 1)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 x (-.f64 x 1)))

eval7.0ms (0.5%)

Compiler

Compiled 345 to 269 computations (22% saved)

prune5.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New30535
Fresh000
Picked101
Done000
Total31536
Error
0b
Counts
36 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
▶0.1b
(-.f64 x (+.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x)))))
▶0.4b
(-.f64 x 1/2)
▶33.0b
(sqrt.f64 (-.f64 (*.f64 x x) x))
1.3b
x
Compiler

Compiled 35 to 24 computations (31.4% saved)

localize82.0ms (5.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 x x) x)
✓30.7b
(sqrt.f64 (-.f64 (*.f64 x x) x))
Compiler

Compiled 16 to 4 computations (75% saved)

series2.0ms (0.1%)

Counts
2 → 20
Calls

6 calls:

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

rewrite91.0ms (6.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
111116
2154416
Stop Event
1×node limit
Counts
2 → 63
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) (cbrt.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) (pow.f64 (-.f64 (*.f64 x x) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (sqrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x x) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x 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 x 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 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (sqrt.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2) (cbrt.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (pow.f64 (-.f64 (*.f64 x x) x) 1/4)) (pow.f64 (-.f64 (*.f64 x x) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (cbrt.f64 (-.f64 (*.f64 x x) x))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))) (-.f64 (pow.f64 x 6) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (neg.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x))))))

simplify61.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
660×fma-def_binary64
328×log-prod_binary64
267×unsub-neg_binary64
264×fma-neg_binary64
261×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0165971
1389865
21457804
36430804
Stop Event
1×node limit
Counts
83 → 100
Calls
Call 1
Inputs
x
(-.f64 x 1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 1/2 (*.f64 -1 x))
(+.f64 1/2 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) x))) 1)
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1)
(*.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) x)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) (cbrt.f64 (-.f64 (*.f64 x x) x)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) (pow.f64 (-.f64 (*.f64 x x) x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 x x) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 1/2))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (sqrt.f64 (fma.f64 x x x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))
(pow.f64 (-.f64 (*.f64 x x) x) 1/2)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x 1))
(*.f64 (-.f64 (*.f64 x x) x) 1)
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (sqrt.f64 (-.f64 (*.f64 x x) x)))
(*.f64 1 (-.f64 (*.f64 x x) x))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) (sqrt.f64 (-.f64 (*.f64 x x) x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2) (cbrt.f64 (-.f64 (*.f64 x x) x)))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) x))))
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (fma.f64 x x x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (pow.f64 (-.f64 (*.f64 x x) x) 1/4)) (pow.f64 (-.f64 (*.f64 x x) x) 1/4))
(*.f64 (+.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (cbrt.f64 (-.f64 (*.f64 x x) x))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))) (-.f64 (pow.f64 x 6) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x 4) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (neg.f64 (fma.f64 x x x)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x x) (neg.f64 x)))
(pow.f64 (-.f64 (*.f64 x x) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 2)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 x x) x)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) x)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) x)))
(exp.f64 (log.f64 (-.f64 (*.f64 x x) x)))
(fma.f64 x x (neg.f64 x))
(fma.f64 1 (*.f64 x x) (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x))
Outputs
x
(-.f64 x 1/2)
(+.f64 x -1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 (-.f64 x 1/2) (/.f64 1/8 x))
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
(+.f64 x (+.f64 -1/2 (/.f64 -1/8 x)))
(-.f64 x (+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(-.f64 (-.f64 x 1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))
(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))
(+.f64 x (-.f64 (+.f64 -1/2 (/.f64 -1/8 x)) (/.f64 1/16 (*.f64 x x))))
(+.f64 x (+.f64 -1/2 (-.f64 (/.f64 -1/8 x) (/.f64 1/16 (*.f64 x x)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1/2 (*.f64 -1 x))
(+.f64 1/2 (neg.f64 x))
(-.f64 1/2 x)
(+.f64 1/2 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1 x (/.f64 1/8 x)))
(+.f64 1/2 (-.f64 (/.f64 1/8 x) x))
(-.f64 1/2 (+.f64 x (/.f64 -1/8 x)))
(+.f64 1/2 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(+.f64 1/2 (fma.f64 -1 x (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))))
(+.f64 1/2 (+.f64 (/.f64 1/16 (*.f64 x x)) (-.f64 (/.f64 1/8 x) x)))
(+.f64 1/2 (-.f64 (/.f64 1/8 x) (-.f64 x (/.f64 1/16 (*.f64 x x)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(*.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) x)))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) (cbrt.f64 (-.f64 (*.f64 x x) x)))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) (pow.f64 (-.f64 (*.f64 x x) x) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 x x) x)))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (sqrt.f64 (fma.f64 x x x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (hypot.f64 x (sqrt.f64 x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))
(/.f64 (hypot.f64 (pow.f64 x 3) (pow.f64 (neg.f64 x) 3/2)) (sqrt.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x 4))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x 4))))
(pow.f64 (-.f64 (*.f64 x x) x) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(+.f64 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 x x) (*.f64 (neg.f64 x) 1))
(-.f64 (*.f64 x x) x)
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 x) 1 x))
(-.f64 (*.f64 x x) x)
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(-.f64 (*.f64 x x) x)
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(-.f64 (*.f64 x x) x)
(+.f64 (neg.f64 x) (*.f64 x x))
(-.f64 (*.f64 x x) x)
(*.f64 x (-.f64 x 1))
(-.f64 (*.f64 x x) x)
(*.f64 (-.f64 (*.f64 x x) x) 1)
(-.f64 (*.f64 x x) x)
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (sqrt.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x x) x)
(*.f64 1 (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(*.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2))
(-.f64 (*.f64 x x) x)
(*.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) (sqrt.f64 (-.f64 (*.f64 x x) x))))
(-.f64 (*.f64 x x) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2) (cbrt.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x x) x)
(*.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) x))))
(-.f64 (*.f64 x x) x)
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))) (-.f64 (pow.f64 x 6) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (pow.f64 (-.f64 (*.f64 x x) x) 1/4)) (pow.f64 (-.f64 (*.f64 x x) x) 1/4))
(-.f64 (*.f64 x x) x)
(*.f64 (+.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x)))
(-.f64 (*.f64 x x) x)
(*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (cbrt.f64 (-.f64 (*.f64 x x) x))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(-.f64 (*.f64 x x) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))) (-.f64 (pow.f64 x 6) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)))
(/.f64 1 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x 4) (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))) (-.f64 (pow.f64 x 6) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))) (-.f64 (pow.f64 x 6) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (neg.f64 (fma.f64 x x x)))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x x) (neg.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))) (-.f64 (pow.f64 x 6) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x x) (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(pow.f64 (-.f64 (*.f64 x x) x) 1)
(-.f64 (*.f64 x x) x)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 2)
(-.f64 (*.f64 x x) x)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 2) 1/2)
(-.f64 (*.f64 x x) x)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3) 1/3)
(-.f64 (*.f64 x x) x)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3)
(-.f64 (*.f64 x x) x)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 2))
(-.f64 (*.f64 x x) x)
(log.f64 (exp.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x x) x)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3))
(-.f64 (*.f64 x x) x)
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x x) x)
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x x) x)
(exp.f64 (log.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x x) x)
(fma.f64 x x (neg.f64 x))
(-.f64 (*.f64 x x) x)
(fma.f64 1 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x x) x)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 x))

localize3.0ms (0.2%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize30.0ms (2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.7b
(/.f64 1/16 (*.f64 x x))
Compiler

Compiled 47 to 28 computations (40.4% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 1/16 (*.f64 x x))
0.0ms
x
@inf
(/.f64 1/16 (*.f64 x x))
0.0ms
x
@-inf
(/.f64 1/16 (*.f64 x x))

rewrite39.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
494×pow1_binary64
483×add-sqr-sqrt_binary64
468×add-log-exp_binary64
468×log1p-expm1-u_binary64
468×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11107
213257
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 1/16 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/16 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/16 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/16 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/16 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 x) (/.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/16 (/.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/16 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/16 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/16 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 16) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/256 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/16) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/16 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/16 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/16 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/16 (pow.f64 x -2))))))))

simplify50.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
756×log-prod_binary64
594×distribute-rgt-in_binary64
575×distribute-lft-in_binary64
426×associate-*l*_binary64
391×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056233
1134233
2427233
33050233
Stop Event
1×node limit
Counts
33 → 24
Calls
Call 1
Inputs
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 1/16 (pow.f64 x -2))) 1)
(*.f64 1/16 (pow.f64 x -2))
(*.f64 (*.f64 1/16 (pow.f64 x -2)) 1)
(*.f64 1 (*.f64 1/16 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/16 (pow.f64 x -2))))
(*.f64 (/.f64 1/4 x) (/.f64 1/4 x))
(*.f64 -1/16 (/.f64 1 (neg.f64 (*.f64 x x))))
(*.f64 (pow.f64 x -2) 1/16)
(*.f64 (/.f64 1/16 x) (/.f64 1 x))
(pow.f64 (*.f64 1/16 (pow.f64 x -2)) 1)
(pow.f64 (pow.f64 (*.f64 1/16 (pow.f64 x -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x -2))) 3)
(pow.f64 (/.f64 1/4 x) 2)
(pow.f64 (*.f64 (*.f64 x x) 16) -1)
(sqrt.f64 (/.f64 1/256 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/16) (pow.f64 x -2)))
(cbrt.f64 (pow.f64 (*.f64 1/16 (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/16 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 1/16 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 1/16 (pow.f64 x -2))))
Outputs
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(-.f64 (+.f64 1 (*.f64 1/16 (pow.f64 x -2))) 1)
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (*.f64 x x))
(*.f64 (*.f64 1/16 (pow.f64 x -2)) 1)
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(*.f64 1 (*.f64 1/16 (pow.f64 x -2)))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(*.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(*.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/16 (pow.f64 x -2))))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(*.f64 (/.f64 1/4 x) (/.f64 1/4 x))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(*.f64 -1/16 (/.f64 1 (neg.f64 (*.f64 x x))))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) 1/16)
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(*.f64 (/.f64 1/16 x) (/.f64 1 x))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(pow.f64 (*.f64 1/16 (pow.f64 x -2)) 1)
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 1/16 (pow.f64 x -2)) 3) 1/3)
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x -2))) 3)
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(pow.f64 (/.f64 1/4 x) 2)
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(pow.f64 (*.f64 (*.f64 x x) 16) -1)
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(sqrt.f64 (/.f64 1/256 (pow.f64 x 4)))
(sqrt.f64 (*.f64 1/256 (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 1/16) (pow.f64 x -2)))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 1/16 (pow.f64 x -2)) 3))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 1/16 (pow.f64 x -2))))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 1/16 (pow.f64 x -2))))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 1/16 (pow.f64 x -2))))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))

localize7.0ms (0.4%)

Compiler

Compiled 17 to 12 computations (29.4% saved)

eval44.0ms (2.9%)

Compiler

Compiled 1486 to 786 computations (47.1% saved)

prune40.0ms (2.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1240124
Fresh011
Picked011
Done033
Total1245129
Error
0b
Counts
129 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓0.1b
(-.f64 x (+.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x)))))
✓0.4b
(-.f64 x 1/2)
✓33.0b
(sqrt.f64 (-.f64 (*.f64 x x) x))
1.3b
x
Compiler

Compiled 35 to 24 computations (31.4% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Error
0b
Counts
5 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓0.1b
(-.f64 x (+.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x)))))
✓0.4b
(-.f64 x 1/2)
✓33.0b
(sqrt.f64 (-.f64 (*.f64 x x) x))
1.3b
x
Compiler

Compiled 35 to 24 computations (31.4% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Error
0b
Counts
5 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓0.1b
(-.f64 x (+.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x)))))
✓0.4b
(-.f64 x 1/2)
✓33.0b
(sqrt.f64 (-.f64 (*.f64 x x) x))
1.3b
x
Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes11.0ms (0.7%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(-.f64 x 1/2)
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
(-.f64 x (+.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x)))))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Outputs
(-.f64 x (+.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x)))))
Calls

2 calls:

5.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
4.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes4.0ms (0.3%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(-.f64 x 1/2)
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
Outputs
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes3.0ms (0.2%)

Accuracy

Total -0.9b remaining (-258.6%)

Threshold costs -0.9b (-258.6%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.4b1x
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify4.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
9×+-commutative_binary64
7×sub-neg_binary64
4×*-commutative_binary64
4×distribute-neg-in_binary64
4×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01534
12334
23734
34834
45834
56134
66234
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 x (+.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x)))))
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
(-.f64 x 1/2)
x
Outputs
(-.f64 x (+.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x)))))
(+.f64 x (-.f64 (/.f64 -1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x)))))
(+.f64 x (+.f64 (/.f64 -1/8 x) (-.f64 -1/2 (/.f64 1/16 (*.f64 x x)))))
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
(+.f64 (+.f64 x -1/2) (/.f64 -1/8 x))
(-.f64 x 1/2)
(+.f64 x -1/2)
x
Compiler

Compiled 28 to 20 computations (28.6% saved)

soundness158.0ms (10.5%)

Algorithm
1×egg-herbie
Rules
440×fma-def_binary64
436×log-prod_binary64
314×fma-neg_binary64
242×unswap-sqr_binary64
233×exp-sum_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063278
1161242
2553206
32530202
47280202
Stop Event
1×node limit
Compiler

Compiled 136 to 108 computations (20.6% saved)

end30.0ms (2%)

Compiler

Compiled 25 to 17 computations (32% saved)

Profiling

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