Details

Time bar (total: 3.6s)

analyze13.0ms (0.4%)

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 (77.3%)

Results
1.8s4119×body1024valid
527.0ms2017×body512valid
201.0ms412×body2048valid
179.0ms1056×body256valid
65.0ms652×body128valid
0.0ms1×body128invalid
Compiler

Compiled 20 to 16 computations (20% saved)

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 (0.7%)

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)))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
58.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
58.1b
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
▶58.0b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Compiler

Compiled 53 to 37 computations (30.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.3b
(-.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)))

rewrite29.0ms (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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))))))

simplify30.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
704×fma-def_binary64
676×unswap-sqr_binary64
319×associate-*l*_binary64
247×*-commutative_binary64
207×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02598
16498
214898
338298
473598
5161798
6251398
7409998
Stop Event
1×node limit
Counts
21 → 22
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x))
(+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 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)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/3) 2))
(+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))
(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 2 x (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2 x))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))))
(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))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 2 x (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 x (fma.f64 x (*.f64 x 1/3) 2))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))))
(-.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)))

prune15.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New21122
Fresh011
Picked101
Done000
Total22224
Error
0.0b
Counts
24 → 2
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
58.1b
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
Compiler

Compiled 318 to 214 computations (32.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(sinh.f64 x)

series3.0ms (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 log1p.f64 (expm1.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sinh.f64 x)))))))

simplify39.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
890×fma-def_binary64
624×unswap-sqr_binary64
306×associate-*l*_binary64
234×*-commutative_binary64
217×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024150
164150
2149142
3369142
4696142
51505142
62338142
73592142
84582142
Stop Event
1×node limit
Counts
33 → 30
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) 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 1/120 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x))
(fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x)))
(fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) x)))
(fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) 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)))

prune13.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New30030
Fresh011
Picked011
Done000
Total30232
Error
0.0b
Counts
32 → 2
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
▶58.1b
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
Compiler

Compiled 358 to 271 computations (24.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 -1/2 (exp.f64 x))
✓5.0b
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))

series4.0ms (0.1%)

Counts
2 → 16
Calls

6 calls:

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

rewrite44.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
626×pow1_binary64
581×add-log-exp_binary64
581×log1p-expm1-u_binary64
581×expm1-log1p-u_binary64
70×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
114318
2160718
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(/.f64 -1/2 (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (exp.f64 x)) (*.f64 1/2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (exp.f64 x)) (/.f64 -1/2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (exp.f64 x)) 1) (/.f64 -1/2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))) (sqrt.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/2 (exp.f64 x)) 3) (pow.f64 (/.f64 -1/2 (exp.f64 x)) 3)) (+.f64 (*.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (exp.f64 x))) (-.f64 (/.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 (*.f64 1/2 (exp.f64 x)) (/.f64 -1/2 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (exp.f64 x))) (/.f64 1/4 (pow.f64 (exp.f64 x) 2))) (-.f64 (*.f64 1/2 (exp.f64 x)) (/.f64 -1/2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/2 (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 -1/2 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (exp.f64 x))) 2) (cbrt.f64 (/.f64 -1/2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/2 (exp.f64 x))) (sqrt.f64 (/.f64 -1/2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/2 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/2 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/2 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/2 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 x) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/2 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 -1/2) x))))))

simplify34.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1037×fma-neg_binary64
463×unswap-sqr_binary64
358×fma-def_binary64
291×cancel-sign-sub-inv_binary64
225×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038193
1107183
2264181
3745175
41885174
53579174
Stop Event
1×node limit
Counts
59 → 59
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x)))
(-.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (/.f64 1 (exp.f64 x))))
(-.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (/.f64 1 (exp.f64 x))))
(-.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (/.f64 1 (exp.f64 x))))
(-.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (/.f64 1 (exp.f64 x))))
(-.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (/.f64 1 (exp.f64 x))))
(-.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (/.f64 1 (exp.f64 x))))
(-.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (/.f64 1 (exp.f64 x))))
(-.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (/.f64 1 (exp.f64 x))))
-1/2
(-.f64 (*.f64 1/2 x) 1/2)
(-.f64 (*.f64 1/2 x) (+.f64 1/2 (*.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/12 (pow.f64 x 3))) (+.f64 1/2 (*.f64 1/4 (pow.f64 x 2))))
Outputs
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(fma.f64 1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x))
(fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x)))
(fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) x)))
(fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) 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 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (/.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 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (/.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 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (/.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 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (/.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 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (/.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 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (/.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 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (/.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 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (/.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)))
-1/2
(-.f64 (*.f64 1/2 x) 1/2)
(fma.f64 1/2 x -1/2)
(fma.f64 x 1/2 -1/2)
(-.f64 (*.f64 1/2 x) (+.f64 1/2 (*.f64 1/4 (pow.f64 x 2))))
(-.f64 (fma.f64 1/2 x -1/2) (*.f64 1/4 (*.f64 x x)))
(+.f64 (fma.f64 x 1/2 -1/2) (*.f64 -1/4 (*.f64 x x)))
(+.f64 -1/2 (*.f64 x (-.f64 1/2 (*.f64 x 1/4))))
(fma.f64 x (+.f64 1/2 (*.f64 x -1/4)) -1/2)
(-.f64 -1/2 (*.f64 x (fma.f64 x 1/4 -1/2)))
(neg.f64 (fma.f64 x (fma.f64 x 1/4 -1/2) 1/2))
(-.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/12 (pow.f64 x 3))) (+.f64 1/2 (*.f64 1/4 (pow.f64 x 2))))
(-.f64 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/12)) (+.f64 1/2 (*.f64 1/4 (*.f64 x x))))
(fma.f64 x 1/2 (-.f64 (*.f64 (pow.f64 x 3) 1/12) (fma.f64 1/4 (*.f64 x x) 1/2)))
(fma.f64 (pow.f64 x 3) 1/12 (+.f64 -1/2 (*.f64 x (-.f64 1/2 (*.f64 x 1/4)))))
(fma.f64 x 1/2 (fma.f64 x (*.f64 x (fma.f64 x 1/12 -1/4)) -1/2))
(fma.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 1/12 -1/4))) -1/2)

prune32.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New58159
Fresh000
Picked011
Done011
Total58361
Error
0b
Counts
61 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
▶58.1b
(/.f64 (-.f64 (*.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (exp.f64 x))) (/.f64 1/4 (pow.f64 (exp.f64 x) 2))) (-.f64 (*.f64 1/2 (exp.f64 x)) (/.f64 -1/2 (exp.f64 x))))
✓58.1b
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
Compiler

Compiled 791 to 512 computations (35.3% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 -1/2 (exp.f64 x))
✓0.0b
(*.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (exp.f64 x)))
✓0.0b
(pow.f64 (exp.f64 x) 2)
✓5.0b
(-.f64 (*.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (exp.f64 x))) (/.f64 1/4 (pow.f64 (exp.f64 x) 2)))

series7.0ms (0.2%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(-.f64 (*.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (exp.f64 x))) (/.f64 1/4 (pow.f64 (exp.f64 x) 2)))
1.0ms
x
@inf
(-.f64 (*.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (exp.f64 x))) (/.f64 1/4 (pow.f64 (exp.f64 x) 2)))
1.0ms
x
@0
(-.f64 (*.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (exp.f64 x))) (/.f64 1/4 (pow.f64 (exp.f64 x) 2)))
0.0ms
x
@0
(pow.f64 (exp.f64 x) 2)
0.0ms
x
@0
(*.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (exp.f64 x)))

rewrite71.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
524×log-prod_binary64
340×fma-def_binary64
195×expm1-udef_binary64
195×log1p-udef_binary64
185×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01135
124332
2301427
Stop Event
1×node limit
Counts
3 → 173
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (exp.f64 x))) (/.f64 1/4 (pow.f64 (exp.f64 x) 2)))
(pow.f64 (exp.f64 x) 2)
(*.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (exp.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 -1/4 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 (*.f64 -1/4 (pow.f64 (exp.f64 x) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (*.f64 2 (sinh.f64 (+.f64 x x)))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 x) -2)) 1/4 (*.f64 1/4 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (*.f64 2 (sinh.f64 (+.f64 x x)))) (fma.f64 (*.f64 -1/4 (pow.f64 (exp.f64 x) -2)) 1 (*.f64 1/4 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (*.f64 2 (sinh.f64 (+.f64 x x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 1/16 (pow.f64 (exp.f64 x) 4))) (*.f64 1/4 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (*.f64 2 (sinh.f64 (+.f64 x x)))) (+.f64 (*.f64 -1/4 (pow.f64 (exp.f64 x) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 (exp.f64 x) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 (exp.f64 x) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (exp.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (exp.f64 x)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/2 (exp.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (exp.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (+.f64 x x) (log.f64 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 x (log.f64 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (+.f64 x x) (log.f64 1/4)) 1))))))

simplify40.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
671×fma-def_binary64
449×times-frac_binary64
317×*-commutative_binary64
252×associate-*l*_binary64
198×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049362
1138328
2348324
3982316
42538316
54251316
Stop Event
1×node limit
Counts
201 → 198
Calls
Call 1
Inputs
x
(+.f64 (*.f64 2/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) x))
(+.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 (*.f64 4/315 (pow.f64 x 7)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) x)))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 1/4 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 1/4 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 1/4 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 1/4 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 1/4 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 1/4 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 1/4 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 1/4 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x)))
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 4/3 (pow.f64 x 3)))))
1/4
(+.f64 1/4 (*.f64 1/2 x))
(+.f64 1/4 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1/4 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/3 (pow.f64 x 3)))))
(*.f64 1/4 (pow.f64 (exp.f64 x) 2))
(*.f64 1/4 (pow.f64 (exp.f64 x) 2))
(*.f64 1/4 (pow.f64 (exp.f64 x) 2))
(*.f64 1/4 (pow.f64 (exp.f64 x) 2))
(*.f64 1/4 (pow.f64 (exp.f64 x) 2))
(*.f64 1/4 (pow.f64 (exp.f64 x) 2))
(*.f64 1/4 (pow.f64 (exp.f64 x) 2))
(*.f64 1/4 (pow.f64 (exp.f64 x) 2))
Outputs
x
(+.f64 (*.f64 2/3 (pow.f64 x 3)) x)
(fma.f64 2/3 (pow.f64 x 3) x)
(+.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) x))
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) x))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 (*.f64 4/315 (pow.f64 x 7)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) x)))
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 4/315 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) x)))
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 4/315 (pow.f64 x 7) x)))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 4/315 (pow.f64 x 7) x)))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 1/4 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (/.f64 1/4 (pow.f64 (exp.f64 x) 2)))
(fma.f64 1/4 (pow.f64 (exp.f64 x) 2) (/.f64 -1/4 (pow.f64 (exp.f64 x) 2)))
(*.f64 1/4 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (*.f64 x -2))))
(*.f64 1/4 (-.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2)))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 1/4 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (/.f64 1/4 (pow.f64 (exp.f64 x) 2)))
(fma.f64 1/4 (pow.f64 (exp.f64 x) 2) (/.f64 -1/4 (pow.f64 (exp.f64 x) 2)))
(*.f64 1/4 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (*.f64 x -2))))
(*.f64 1/4 (-.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2)))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 1/4 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (/.f64 1/4 (pow.f64 (exp.f64 x) 2)))
(fma.f64 1/4 (pow.f64 (exp.f64 x) 2) (/.f64 -1/4 (pow.f64 (exp.f64 x) 2)))
(*.f64 1/4 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (*.f64 x -2))))
(*.f64 1/4 (-.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2)))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 1/4 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (/.f64 1/4 (pow.f64 (exp.f64 x) 2)))
(fma.f64 1/4 (pow.f64 (exp.f64 x) 2) (/.f64 -1/4 (pow.f64 (exp.f64 x) 2)))
(*.f64 1/4 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (*.f64 x -2))))
(*.f64 1/4 (-.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2)))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 1/4 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (/.f64 1/4 (pow.f64 (exp.f64 x) 2)))
(fma.f64 1/4 (pow.f64 (exp.f64 x) 2) (/.f64 -1/4 (pow.f64 (exp.f64 x) 2)))
(*.f64 1/4 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (*.f64 x -2))))
(*.f64 1/4 (-.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2)))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 1/4 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (/.f64 1/4 (pow.f64 (exp.f64 x) 2)))
(fma.f64 1/4 (pow.f64 (exp.f64 x) 2) (/.f64 -1/4 (pow.f64 (exp.f64 x) 2)))
(*.f64 1/4 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (*.f64 x -2))))
(*.f64 1/4 (-.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2)))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 1/4 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (/.f64 1/4 (pow.f64 (exp.f64 x) 2)))
(fma.f64 1/4 (pow.f64 (exp.f64 x) 2) (/.f64 -1/4 (pow.f64 (exp.f64 x) 2)))
(*.f64 1/4 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (*.f64 x -2))))
(*.f64 1/4 (-.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2)))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (*.f64 1/4 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (*.f64 1/4 (pow.f64 (exp.f64 x) 2)) (/.f64 1/4 (pow.f64 (exp.f64 x) 2)))
(fma.f64 1/4 (pow.f64 (exp.f64 x) 2) (/.f64 -1/4 (pow.f64 (exp.f64 x) 2)))
(*.f64 1/4 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (*.f64 x -2))))
(*.f64 1/4 (-.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2)))
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 x 2))
(fma.f64 x 2 1)
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x)))
(+.f64 1 (*.f64 2 (+.f64 (*.f64 x x) x)))
(fma.f64 2 (fma.f64 x x x) 1)
(fma.f64 x (fma.f64 x 2 2) 1)
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 4/3 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 2 (*.f64 x x) (fma.f64 2 x (*.f64 (pow.f64 x 3) 4/3))))
(+.f64 1 (fma.f64 2 (fma.f64 x x x) (*.f64 (pow.f64 x 3) 4/3)))
(fma.f64 2 (fma.f64 x x x) (fma.f64 (pow.f64 x 3) 4/3 1))
(fma.f64 x 2 (fma.f64 (*.f64 x x) (fma.f64 x 4/3 2) 1))
1/4
(+.f64 1/4 (*.f64 1/2 x))
(+.f64 1/4 (*.f64 x 1/2))
(fma.f64 x 1/2 1/4)
(+.f64 1/4 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1/4 (*.f64 1/2 (+.f64 (*.f64 x x) x)))
(fma.f64 1/2 (fma.f64 x x x) 1/4)
(fma.f64 x (fma.f64 x 1/2 1/2) 1/4)
(+.f64 1/4 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 1/4 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/3))))
(+.f64 1/4 (fma.f64 1/2 (fma.f64 x x x) (*.f64 (pow.f64 x 3) 1/3)))
(fma.f64 1/2 (fma.f64 x x x) (fma.f64 (pow.f64 x 3) 1/3 1/4))
(fma.f64 x 1/2 (fma.f64 x (*.f64 x (fma.f64 x 1/3 1/2)) 1/4))
(fma.f64 x (fma.f64 x 1/2 1/2) (fma.f64 (pow.f64 x 3) 1/3 1/4))
(*.f64 1/4 (pow.f64 (exp.f64 x) 2))
(*.f64 1/4 (exp.f64 (+.f64 x x)))
(*.f64 1/4 (pow.f64 (exp.f64 x) 2))
(*.f64 1/4 (exp.f64 (+.f64 x x)))
(*.f64 1/4 (pow.f64 (exp.f64 x) 2))
(*.f64 1/4 (exp.f64 (+.f64 x x)))
(*.f64 1/4 (pow.f64 (exp.f64 x) 2))
(*.f64 1/4 (exp.f64 (+.f64 x x)))
(*.f64 1/4 (pow.f64 (exp.f64 x) 2))
(*.f64 1/4 (exp.f64 (+.f64 x x)))
(*.f64 1/4 (pow.f64 (exp.f64 x) 2))
(*.f64 1/4 (exp.f64 (+.f64 x x)))
(*.f64 1/4 (pow.f64 (exp.f64 x) 2))
(*.f64 1/4 (exp.f64 (+.f64 x x)))
(*.f64 1/4 (pow.f64 (exp.f64 x) 2))
(*.f64 1/4 (exp.f64 (+.f64 x x)))

prune169.0ms (4.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2260226
Fresh000
Picked011
Done022
Total2263229
Error
0b
Counts
229 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓58.1b
(/.f64 (-.f64 (*.f64 (*.f64 1/2 (exp.f64 x)) (*.f64 1/2 (exp.f64 x))) (/.f64 1/4 (pow.f64 (exp.f64 x) 2))) (-.f64 (*.f64 1/2 (exp.f64 x)) (/.f64 -1/2 (exp.f64 x))))
✓58.1b
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
Compiler

Compiled 7037 to 4580 computations (34.9% saved)

regimes85.0ms (2.4%)

Accuracy

Total 0.0b remaining (12.9%)

Threshold costs 0.0b (12.9%)

Counts
53 → 1
Compiler

Compiled 1128 to 728 computations (35.5% 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 2 (sinh.f64 x)) 2)
Outputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)

end63.0ms (1.8%)

Stop Event
1×done
Compiler

Compiled 57 to 42 computations (26.3% saved)

Profiling

Loading profile data...