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)

sample2.9s (82.8%)

Results
1.9s4052×body1024valid
556.0ms2070×body512valid
218.0ms415×body2048valid
187.0ms1003×body256valid
76.0ms716×body128valid

preprocess38.0ms (1.1%)

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)

simplify27.0ms (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)))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
56.9b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶56.9b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Compiler

Compiled 35 to 25 computations (28.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.9b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series2.0ms (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)))

rewrite28.0ms (0.8%)

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 expm1.f64 (log1p.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 exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))))))

simplify33.0ms (0.9%)

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)))

prune21.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New20222
Fresh000
Picked011
Done000
Total20323
Error
0b
Counts
23 → 3
Alt Table
StatusErrorProgram
✓56.9b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
0.8b
(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2)
▶0.7b
(/.f64 (+.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)
Compiler

Compiled 361 to 249 computations (31% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))
✓0.0b
(*.f64 1/2520 (pow.f64 x 7))
✓0.1b
(*.f64 1/60 (pow.f64 x 5))
✓0.2b
(*.f64 1/3 (pow.f64 x 3))

series7.0ms (0.2%)

Counts
4 → 3
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
@0
(*.f64 1/3 (pow.f64 x 3))
1.0ms
x
@inf
(*.f64 1/3 (pow.f64 x 3))
1.0ms
x
@0
(*.f64 1/60 (pow.f64 x 5))

rewrite54.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
313×fma-def_binary64
263×expm1-udef_binary64
263×log1p-udef_binary64
161×fma-neg_binary64
156×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01535
133435
2376235
Stop Event
1×node limit
Counts
4 → 90
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 x 3))
(*.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)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/60 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/60 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 1/216000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 1/3600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 1/216000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/60 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 5 (log.f64 x) (log.f64 1/60)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 1/60)) 1))))))
((#(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 (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 pow.f64 (*.f64 1/16003008000 (pow.f64 (pow.f64 x 7) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/6350400 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2520) (pow.f64 x 7)))))) (#(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 (*.f64 1/16003008000 (pow.f64 (pow.f64 x 7) 3)))))) (#(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 log1p.f64 (expm1.f64 (*.f64 1/2520 (pow.f64 x 7))))))) (#(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 -.f64 (exp.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/6350400 (pow.f64 x 14)) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 -1/60 (pow.f64 x 5)))) (/.f64 (*.f64 (pow.f64 x 10) 1/3600) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 -1/60 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/60 (pow.f64 x 5) (*.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) (*.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) (*.f64 1/2520 (pow.f64 x 7)))) (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.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) (*.f64 1/2520 (pow.f64 x 7)))) 2) (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.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) (*.f64 1/2520 (pow.f64 x 7)))) (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 1/216000 (*.f64 1/16003008000 (pow.f64 (pow.f64 x 7) 3))) (/.f64 1 (-.f64 (fma.f64 1/6350400 (pow.f64 x 14) (*.f64 (pow.f64 x 10) 1/3600)) (*.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/6350400 (pow.f64 x 14)) (*.f64 (pow.f64 x 10) 1/3600)) (/.f64 1 (fma.f64 1/2520 (pow.f64 x 7) (*.f64 -1/60 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 1/6350400 (pow.f64 x 14) (*.f64 (pow.f64 x 10) 1/3600)) (*.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/2520 (pow.f64 x 7)))) (fma.f64 (pow.f64 (pow.f64 x 5) 3) 1/216000 (*.f64 1/16003008000 (pow.f64 (pow.f64 x 7) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/2520 (pow.f64 x 7) (*.f64 -1/60 (pow.f64 x 5))) (-.f64 (*.f64 1/6350400 (pow.f64 x 14)) (*.f64 (pow.f64 x 10) 1/3600))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 1/216000 (*.f64 1/16003008000 (pow.f64 (pow.f64 x 7) 3))) (-.f64 (fma.f64 1/6350400 (pow.f64 x 14) (*.f64 (pow.f64 x 10) 1/3600)) (*.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 1/216000 (*.f64 1/16003008000 (pow.f64 (pow.f64 x 7) 3))) (fma.f64 (pow.f64 x 10) 1/3600 (-.f64 (*.f64 1/6350400 (pow.f64 x 14)) (*.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/6350400 (pow.f64 x 14)) (*.f64 (pow.f64 x 10) 1/3600)) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 -1/60 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 1/216000 (*.f64 1/16003008000 (pow.f64 (pow.f64 x 7) 3)))) (neg.f64 (-.f64 (fma.f64 1/6350400 (pow.f64 x 14) (*.f64 (pow.f64 x 10) 1/3600)) (*.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/6350400 (pow.f64 x 14)) (*.f64 (pow.f64 x 10) 1/3600))) (neg.f64 (fma.f64 1/2520 (pow.f64 x 7) (*.f64 -1/60 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 10) 1/3600) (*.f64 1/6350400 (pow.f64 x 14))) (-.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/2520 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.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) (*.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) (*.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) (*.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) (*.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) (*.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) (*.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) (*.f64 1/2520 (pow.f64 x 7))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 1/60 (*.f64 1/2520 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/60 (pow.f64 x 5)) 1 (*.f64 1/2520 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 7) 1/2520 (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2520 (pow.f64 x 7)) 1 (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/2520 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 1/60) (*.f64 1/2520 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2520 (pow.f64 x 7))) (cbrt.f64 (*.f64 1/6350400 (pow.f64 x 14))) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/6350400 (pow.f64 x 14))) (cbrt.f64 (*.f64 1/2520 (pow.f64 x 7))) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 14)) (*.f64 (cbrt.f64 (pow.f64 x 7)) 1/2520) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/60 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 1/3600)) (*.f64 1/2520 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 1/3600)) (cbrt.f64 (*.f64 1/60 (pow.f64 x 5))) (*.f64 1/2520 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2520) (pow.f64 x 7/2)) (*.f64 (sqrt.f64 1/2520) (pow.f64 x 7/2)) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (*.f64 1/2520 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 1/60) (*.f64 1/2520 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 7/2) (*.f64 (pow.f64 x 7/2) 1/2520) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2520 (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2520 (pow.f64 x 7/2)) (pow.f64 x 7/2) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/60 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (*.f64 1/2520 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/60 (pow.f64 x 5/2)) (pow.f64 x 5/2) (*.f64 1/2520 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.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) (*.f64 1/2520 (pow.f64 x 7)))) 1))))))

simplify50.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
828×sqr-pow_binary64
416×unswap-sqr_binary64
388×pow-sqr_binary64
332×cube-prod_binary64
237×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
12121
23921
37821
419321
560121
689621
7153421
8164321
9180521
10202021
11235021
12280621
13340321
14415221
Stop Event
1×node limit
Counts
93 → 92
Calls
Call 1
Inputs
(*.f64 1/60 (pow.f64 x 5))
(*.f64 1/2520 (pow.f64 x 7))
(*.f64 1/2520 (pow.f64 x 7))
Outputs
(*.f64 1/60 (pow.f64 x 5))
(*.f64 1/2520 (pow.f64 x 7))
(*.f64 1/2520 (pow.f64 x 7))

prune108.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done011
Total92395
Error
0b
Counts
95 → 3
Alt Table
StatusErrorProgram
✓56.9b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
▶0.8b
(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2)
✓0.7b
(/.f64 (+.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)
Compiler

Compiled 2623 to 2190 computations (16.5% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(expm1.f64 (*.f64 2 (sinh.f64 x)))
✓0.0b
(sinh.f64 x)
✓0.2b
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
1.0ms
x
@inf
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
1.0ms
x
@0
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
0.0ms
x
@0
(expm1.f64 (*.f64 2 (sinh.f64 x)))
0.0ms
x
@inf
(expm1.f64 (*.f64 2 (sinh.f64 x)))

rewrite39.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
547×pow1_binary64
506×add-log-exp_binary64
506×expm1-log1p-u_binary64
505×log1p-expm1-u_binary64
495×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
112517
2139617
Stop Event
1×node limit
Counts
3 → 66
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(sinh.f64 x)
(expm1.f64 (*.f64 2 (sinh.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 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (sinh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sinh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (*.f64 (cbrt.f64 (sinh.f64 x)) 2))))) (#(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 (sqrt.f64 (sinh.f64 x)) (*.f64 (sqrt.f64 (sinh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (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 /.f64 (*.f64 (*.f64 2 (sinh.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (sinh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sinh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.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 -.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 (*.f64 2 (sinh.f64 x)) 1/2)))) (#(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)) 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 (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 expm1.f64 (log1p.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 exp.f64 (log.f64 (sinh.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2) (cbrt.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) (sqrt.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)) 3) 1) (+.f64 (*.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)) (pow.f64 (exp.f64 2) (sinh.f64 x))) (+.f64 1 (*.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)) (pow.f64 (exp.f64 2) (sinh.f64 x))) 1) (+.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))))))))

simplify38.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
730×fma-def_binary64
554×distribute-lft-out_binary64
388×*-commutative_binary64
303×associate-*l*_binary64
261×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055441
1150433
2364425
31055423
42684423
54117423
Stop Event
1×node limit
Counts
102 → 91
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) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
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))))
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 5/3 (pow.f64 x 3))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 4/3 (pow.f64 x 4)) (*.f64 5/3 (pow.f64 x 3)))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
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 (*.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 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 2 x)))
(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 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 2 x))))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(fma.f64 1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) 1/6 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))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 5) 1/120 x))
(fma.f64 (pow.f64 x 5) 1/120 (fma.f64 (pow.f64 x 3) 1/6 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 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 7) 1/5040 (fma.f64 (pow.f64 x 5) 1/120 x)))
(fma.f64 (pow.f64 x 7) 1/5040 (fma.f64 (pow.f64 x 5) 1/120 (fma.f64 (pow.f64 x 3) 1/6 x)))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 5) 1/120 (fma.f64 (pow.f64 x 7) 1/5040 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(*.f64 2 (+.f64 (*.f64 x x) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 5/3 (pow.f64 x 3))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x (*.f64 (pow.f64 x 3) 5/3)))
(fma.f64 2 (fma.f64 x x x) (*.f64 (pow.f64 x 3) 5/3))
(*.f64 x (+.f64 2 (*.f64 x (fma.f64 x 5/3 2))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 4/3 (pow.f64 x 4)) (*.f64 5/3 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x (fma.f64 4/3 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 5/3))))
(fma.f64 2 (fma.f64 x x x) (fma.f64 (pow.f64 x 3) 5/3 (*.f64 4/3 (pow.f64 x 4))))
(fma.f64 2 (fma.f64 x x x) (*.f64 (pow.f64 x 3) (+.f64 5/3 (*.f64 x 4/3))))
(fma.f64 4/3 (pow.f64 x 4) (*.f64 x (+.f64 2 (*.f64 x (fma.f64 x 5/3 2)))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(expm1.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(expm1.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(expm1.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(expm1.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(expm1.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(expm1.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(expm1.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(expm1.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

prune66.0ms (1.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh000
Picked011
Done022
Total91394
Error
0b
Counts
94 → 3
Alt Table
StatusErrorProgram
✓56.9b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
✓0.8b
(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2)
✓0.7b
(/.f64 (+.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)
Compiler

Compiled 1207 to 900 computations (25.4% saved)

regimes26.0ms (0.7%)

Accuracy

Total -58.2b remaining (-372676.6%)

Threshold costs -58.2b (-372676.6%)

Counts
18 → 1
Compiler

Compiled 233 to 179 computations (23.2% saved)

simplify2.0ms (0%)

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 (sinh.f64 x) 2) 2)
Outputs
(/.f64 (*.f64 (sinh.f64 x) 2) 2)

end29.0ms (0.8%)

Stop Event
1×done
Compiler

Compiled 14 to 12 computations (14.3% saved)

Profiling

Loading profile data...