Details

Time bar (total: 3.5s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%0.8%49.2%9
50.4%0.4%49.2%10
50.4%0.2%49.4%11
50.4%0.1%49.5%12
50.4%0%49.6%13
50.4%0%49.6%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample2.8s (81.3%)

Results
1.8s4164×body1024valid
549.0ms2019×body512valid
214.0ms421×body2048valid
177.0ms977×body256valid
69.0ms675×body128valid
0.0ms1×body128invalid

preprocess34.0ms (1%)

Algorithm
2×egg-herbie
Rules
618×fma-neg_binary64
508×associate-/l*_binary64
414×associate-/r/_binary64
307×associate-/l/_binary64
215×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11913
23413
35813
412013
526113
671413
7210013
8493912
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify29.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
618×fma-neg_binary64
508×associate-/l*_binary64
414×associate-/r/_binary64
307×associate-/l/_binary64
215×fma-def_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
0813
11913
23413
35813
412013
526113
671413
7210013
8493912
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))

eval1.0ms (0%)

Compiler

Compiled 17 to 11 computations (35.3% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
57.4b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶57.4b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.7b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series1.0ms (0%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms
x
@-inf
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms
x
@inf
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite32.0ms (0.9%)

Algorithm
1×egg-rewrite-iter-limit
1×batch-egg-rewrite
Rules
70×add-sqr-sqrt_binary64
67×add-log-exp_binary64
66×*-un-lft-identity_binary64
66×pow1_binary64
65×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
11306
221496
066
Stop Event
1×iter limit
1×unsound
Counts
1 → 13
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (sinh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sinh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 2 (sinh.f64 x)) (*.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))))))

simplify34.0ms (1%)

Algorithm
1×egg-herbie
Rules
700×fma-def_binary64
676×unswap-sqr_binary64
322×associate-*l*_binary64
265×*-commutative_binary64
204×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02798
16898
215198
338898
473998
5163598
6253998
7412898
Stop Event
1×node limit
Counts
21 → 22
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/3) 2))
(*.f64 x (fma.f64 1/3 (*.f64 x x) 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 x (fma.f64 x (*.f64 x 1/3) 2) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 2 x))))
(fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

eval6.0ms (0.2%)

Compiler

Compiled 286 to 186 computations (35% saved)

prune11.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New20222
Fresh000
Picked101
Done000
Total21223
Error
0b
Counts
23 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
1.4b
(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))) 2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(sinh.f64 x)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(sinh.f64 x)
1.0ms
x
@-inf
(sinh.f64 x)
1.0ms
x
@0
(sinh.f64 x)

rewrite25.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
318×pow1_binary64
311×add-sqr-sqrt_binary64
297×add-log-exp_binary64
296×log1p-expm1-u_binary64
296×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
1633
27853
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(sinh.f64 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sinh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sinh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sinh.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sinh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (sinh.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sinh.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sinh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sinh.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sinh.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sinh.f64 x)))))))

simplify39.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
872×fma-def_binary64
624×unswap-sqr_binary64
298×associate-*l*_binary64
228×*-commutative_binary64
217×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025150
167150
2151142
3372142
4686142
51466142
62299142
73552142
84529142
Stop Event
1×node limit
Counts
33 → 30
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
Outputs
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(fma.f64 1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))

eval8.0ms (0.2%)

Compiler

Compiled 333 to 253 computations (24% saved)

prune20.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New30030
Fresh011
Picked011
Done000
Total30232
Error
0b
Counts
32 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
▶1.4b
(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))) 2)
Compiler

Compiled 49 to 38 computations (22.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))
✓0.0b
(fma.f64 1/3 (*.f64 x x) 2)
✓0.0b
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))
✓0.0b
(*.f64 1/2520 (pow.f64 x 7))

series6.0ms (0.2%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 1/2520 (pow.f64 x 7))
1.0ms
x
@0
(*.f64 1/2520 (pow.f64 x 7))
1.0ms
x
@inf
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))
1.0ms
x
@-inf
(*.f64 1/2520 (pow.f64 x 7))
1.0ms
x
@-inf
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))

rewrite61.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
255×expm1-udef_binary64
255×log1p-udef_binary64
208×log-pow_binary64
185×prod-diff_binary64
150×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01558
131758
2337858
Stop Event
1×node limit
Counts
4 → 89
Calls
Call 1
Inputs
(*.f64 1/2520 (pow.f64 x 7))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/3 (*.f64 x x) 2)
(fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2520 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2520 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2520 (pow.f64 x 7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2520 (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2520) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 14) 1/6350400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 7)) 1/2520))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2520 (pow.f64 x 7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 7 (log.f64 x) (log1p.f64 -2519/2520)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 7 (log.f64 x) (log1p.f64 -2519/2520)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2520 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2520 (pow.f64 x 7))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/60 (pow.f64 x 5)) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/60 (pow.f64 x 5)) 1) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 x (fma.f64 1/3 (*.f64 x x) 2))) (*.f64 1/2520 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))) (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))) 2) (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))) (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/60 (pow.f64 x 5)) 3) (pow.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))) 3)) (fma.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/60 (pow.f64 x 5)) (-.f64 (pow.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))) 2) (*.f64 (*.f64 1/60 (pow.f64 x 5)) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/60 (pow.f64 x 5))) (pow.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))) 2)) (-.f64 (*.f64 1/60 (pow.f64 x 5)) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))) (exp.f64 (*.f64 1/60 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))) (exp.f64 (*.f64 1/60 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/60 (pow.f64 x 5))) (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 1/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/3 (*.f64 x x)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (*.f64 x x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 (*.f64 x x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 x x) 2)) (cbrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 x x) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 x x) 2) 2)) (cbrt.f64 (fma.f64 1/3 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 x x) 2)) (sqrt.f64 (fma.f64 1/3 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3) 8) (fma.f64 (*.f64 1/3 (*.f64 x x)) (*.f64 1/3 (*.f64 x x)) (-.f64 4 (*.f64 (*.f64 1/3 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 1/3 (*.f64 x x)) (*.f64 1/3 (*.f64 x x)) -4) (fma.f64 1/3 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 (*.f64 x x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 x x) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 x x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 x x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 x x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 x x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (*.f64 x x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 (*.f64 x x) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 x (fma.f64 1/3 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 1/3 (*.f64 x x) 2)) (*.f64 1/2520 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 1/3 (*.f64 x x) 2)) 1) (*.f64 1/2520 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))) 2) (cbrt.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))) (sqrt.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 1/3 (*.f64 x x) 2)) 3) (pow.f64 (*.f64 1/2520 (pow.f64 x 7)) 3)) (fma.f64 (*.f64 x (fma.f64 1/3 (*.f64 x x) 2)) (*.f64 x (fma.f64 1/3 (*.f64 x x) 2)) (-.f64 (*.f64 (pow.f64 x 14) 1/6350400) (*.f64 (*.f64 x (fma.f64 1/3 (*.f64 x x) 2)) (*.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x (fma.f64 1/3 (*.f64 x x) 2)) (*.f64 x (fma.f64 1/3 (*.f64 x x) 2)) (neg.f64 (*.f64 (pow.f64 x 14) 1/6350400))) (-.f64 (*.f64 x (fma.f64 1/3 (*.f64 x x) 2)) (*.f64 1/2520 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 7)) 1/2520) (exp.f64 (*.f64 x (fma.f64 1/3 (*.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2520 (pow.f64 x 7)))) (exp.f64 (*.f64 x (fma.f64 1/3 (*.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (fma.f64 1/3 (*.f64 x x) 2))) (+.f64 1 (expm1.f64 (*.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))))))))

simplify58.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
923×fma-def_binary64
618×associate-*l*_binary64
414×associate-*r*_binary64
245×sqr-pow_binary64
134×associate-+l+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027462
173444
2158444
3418444
4853444
52472444
63105444
73521444
84029444
Stop Event
1×node limit
Counts
125 → 110
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))
2
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(*.f64 1/3 (pow.f64 x 2))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(*.f64 1/3 (pow.f64 x 2))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/2520 (pow.f64 x 7))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/2520 (pow.f64 x 7))))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/2520 (pow.f64 x 7)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/2520 (pow.f64 x 7))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/2520 (pow.f64 x 7))))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/2520 (pow.f64 x 7)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/2520 (pow.f64 x 7))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/2520 (pow.f64 x 7))))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(*.f64 x (fma.f64 x (*.f64 x 1/3) 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 x (fma.f64 x (*.f64 x 1/3) 2) (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 2 x (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (*.f64 2 x))))
(fma.f64 x (fma.f64 x (*.f64 x 1/3) 2) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7))))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 2 x (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (*.f64 2 x))))
(fma.f64 x (fma.f64 x (*.f64 x 1/3) 2) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7))))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 2 x (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (*.f64 2 x))))
(fma.f64 x (fma.f64 x (*.f64 x 1/3) 2) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7))))
2
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (*.f64 x x)))
(fma.f64 1/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 1/3) 2)
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (*.f64 x x)))
(fma.f64 1/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 1/3) 2)
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (*.f64 x x)))
(fma.f64 1/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 1/3) 2)
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 x 1/3))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (*.f64 x x)))
(fma.f64 1/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 1/3) 2)
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (*.f64 x x)))
(fma.f64 1/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 1/3) 2)
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (*.f64 x x)))
(fma.f64 1/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 1/3) 2)
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 x 1/3))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (*.f64 x x)))
(fma.f64 1/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 1/3) 2)
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (*.f64 x x)))
(fma.f64 1/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 1/3) 2)
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (*.f64 x x)))
(fma.f64 1/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 1/3) 2)
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(*.f64 x (fma.f64 x (*.f64 x 1/3) 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 x (fma.f64 x (*.f64 x 1/3) 2)))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 x (fma.f64 x (*.f64 x 1/3) 2)))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x)))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/2520 (pow.f64 x 7)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 x (fma.f64 x (*.f64 x 1/3) 2)))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 x (fma.f64 x (*.f64 x 1/3) 2)))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x)))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/2520 (pow.f64 x 7)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 x (fma.f64 x (*.f64 x 1/3) 2)))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 x (fma.f64 x (*.f64 x 1/3) 2)))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x)))

eval64.0ms (1.9%)

Compiler

Compiled 2667 to 1965 computations (26.3% saved)

prune155.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done011
Total1102112
Error
0b
Counts
112 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓1.4b
(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))) 2)
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes14.0ms (0.4%)

Accuracy

Total -58.8b remaining (-501642.7%)

Threshold costs -58.8b (-501642.7%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x (fma.f64 1/3 (*.f64 x x) 2) (*.f64 1/2520 (pow.f64 x 7)))) 2)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Outputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
Results
TimeErrorSegmentsBranch
4.0ms0.0b1x
7.0ms0.0b1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
2.0ms0.0b1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 53 to 40 computations (24.5% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
179
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
Outputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)

end15.0ms (0.4%)

Stop Event
1×done
Compiler

Compiled 14 to 12 computations (14.3% saved)

Profiling

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