Details

Time bar (total: 3.0s)

analyze4.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
66.7%50%25%0%25%0%0%4
80%50%12.5%0%37.5%0%0%5
88.9%50%6.2%0%43.7%0%0%6
94.1%50%3.1%0%46.9%0%0%7
97%50%1.6%0%48.4%0%0%8
98.5%50%0.8%0%49.2%0%0%9
99.2%50.4%0.4%0%49.2%0%0%10
99.6%50.4%0.2%0%49.4%0%0%11
99.8%50.4%0.1%0%49.5%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample2.5s (84.4%)

Results
1.7s4130×body1024valid
442.0ms2062×body512valid
190.0ms403×body2048valid
165.0ms1661×body256valid
2.0ms14×body256infinite
Bogosity

preprocess61.0ms (2%)

Algorithm
egg-herbie
Rules
1318×associate-/l*
988×distribute-lft-in
978×distribute-rgt-in
836×distribute-lft-neg-in
810×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
12125
23525
36025
411725
526825
674525
7217325
8484325
011
Stop Event
saturated
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)
Compiler

Compiled 10 to 8 computations (20% saved)

simplify56.0ms (1.9%)

Algorithm
egg-herbie
Rules
1318×associate-/l*
988×distribute-lft-in
978×distribute-rgt-in
836×distribute-lft-neg-in
810×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
12125
23525
36025
411725
526825
674525
7217325
8484325
Stop Event
node limit
Counts
1 → 3
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)

eval1.0ms (0%)

Compiler

Compiled 25 to 12 computations (52% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New213
Fresh011
Picked000
Done000
Total224
Accurracy
9.1%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
92.2%
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 24 to 8 computations (66.7% saved)

series1.0ms (0%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
0.0ms
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)))

rewrite39.0ms (1.3%)

Algorithm
egg-rewrite-iter-limit
batch-egg-rewrite
Rules
180×add-sqr-sqrt
172×pow1
172×*-un-lft-identity
170×add-exp-log
168×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
117011
2264411
0811
Stop Event
iter limit
unsound
Counts
1 → 13
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Outputs
((+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))) (*.f64 1 (*.f64 2 (sinh.f64 x))) (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x)))) (*.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (*.f64 2 (sinh.f64 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)))) (/.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)))))) (pow.f64 (*.f64 2 (sinh.f64 x)) 1) (log.f64 (exp.f64 (*.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 (*.f64 (*.f64 2 (sinh.f64 x)) (*.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))) (expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x)))) (exp.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))))

simplify42.0ms (1.4%)

Algorithm
egg-herbie
Rules
898×associate-*r/
804×fma-def
778×*-commutative
712×associate-*r*
658×associate-*l/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
066501
1179485
2576481
32145353
Stop Event
node limit
Counts
21 → 33
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)))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 1 (*.f64 2 (sinh.f64 x)))
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 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))))
(/.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))))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 2 (sinh.f64 x)) (*.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
Outputs
(*.f64 2 x)
(+.f64 x 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 x 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 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (+.f64 x x)))
(+.f64 (fma.f64 1/60 (pow.f64 x 5) x) (fma.f64 1/3 (pow.f64 x 3) x))
(+.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 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 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(*.f64 1 (*.f64 2 (sinh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 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))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 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))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (exp.f64 -2) x))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(cbrt.f64 (*.f64 (*.f64 (*.f64 2 (sinh.f64 x)) (*.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))

eval9.0ms (0.3%)

Compiler

Compiled 479 to 318 computations (33.6% saved)

prune5.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh000
Picked011
Done000
Total31334
Accurracy
100.0%
Counts
34 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
98.2%
(/.f64 (+.f64 x x) 2)
100.0%
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
Compiler

Compiled 22 to 17 computations (22.7% saved)

localize6.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sinh.f64 x)
Compiler

Compiled 15 to 9 computations (40% saved)

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)
0.0ms
x
@0
(sinh.f64 x)

rewrite49.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1016×associate-*r*
846×add-sqr-sqrt
830×*-un-lft-identity
788×pow1
774×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
1835
210225
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(sinh.f64 x)
Outputs
((-.f64 (+.f64 (sinh.f64 x) 1) 1) (-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 (sinh.f64 x) 1) (*.f64 1 (sinh.f64 x)) (*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x))) (*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x))) (*.f64 (*.f64 (sinh.f64 x) 2) 1/2) (*.f64 1/2 (*.f64 (sinh.f64 x) 2)) (*.f64 (*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) (*.f64 (*.f64 (sqrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) (*.f64 (*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) (*.f64 (*.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (*.f64 (*.f64 (cbrt.f64 (sinh.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sinh.f64 x)))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))) (cbrt.f64 (cbrt.f64 (sinh.f64 x)))) (/.f64 1 (/.f64 2 (*.f64 (sinh.f64 x) 2))) (/.f64 (*.f64 (sinh.f64 x) 2) 2) (/.f64 (neg.f64 (*.f64 (sinh.f64 x) 2)) -2) (pow.f64 (sinh.f64 x) 1) (pow.f64 (sqrt.f64 (sinh.f64 x)) 2) (pow.f64 (cbrt.f64 (sinh.f64 x)) 3) (pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3) (sqrt.f64 (pow.f64 (sinh.f64 x) 2)) (log.f64 (exp.f64 (sinh.f64 x))) (cbrt.f64 (pow.f64 (sinh.f64 x) 3)) (expm1.f64 (log1p.f64 (sinh.f64 x))) (exp.f64 (log.f64 (sinh.f64 x))) (log1p.f64 (expm1.f64 (sinh.f64 x))))

simplify52.0ms (1.7%)

Algorithm
egg-herbie
Rules
704×associate-+l-
606×distribute-lft-neg-in
590×associate-*r/
544×associate-+r-
528×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
096785
1226617
2980589
35174589
Stop Event
node limit
Counts
43 → 52
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))))
(-.f64 (+.f64 (sinh.f64 x) 1) 1)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(*.f64 (sinh.f64 x) 1)
(*.f64 1 (sinh.f64 x))
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(*.f64 (*.f64 (sinh.f64 x) 2) 1/2)
(*.f64 1/2 (*.f64 (sinh.f64 x) 2))
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) (sqrt.f64 (sqrt.f64 (sinh.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (sinh.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sinh.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) (sqrt.f64 (cbrt.f64 (sinh.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) (cbrt.f64 (sqrt.f64 (sinh.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))
(/.f64 1 (/.f64 2 (*.f64 (sinh.f64 x) 2)))
(/.f64 (*.f64 (sinh.f64 x) 2) 2)
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) 2)) -2)
(pow.f64 (sinh.f64 x) 1)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(log.f64 (exp.f64 (sinh.f64 x)))
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(exp.f64 (log.f64 (sinh.f64 x)))
(log1p.f64 (expm1.f64 (sinh.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)))
(-.f64 (+.f64 (sinh.f64 x) 1) 1)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (sinh.f64 x) 1)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 1 (sinh.f64 x))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (*.f64 (sinh.f64 x) 2) 1/2)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 1/2 (*.f64 (sinh.f64 x) 2))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) (sqrt.f64 (sqrt.f64 (sinh.f64 x))))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (sinh.f64 x))))
(*.f64 (sqrt.f64 (sinh.f64 x)) (*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x))) (cbrt.f64 (sinh.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sinh.f64 x))))
(*.f64 (sqrt.f64 (sinh.f64 x)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))))
(*.f64 (sqrt.f64 (sinh.f64 x)) (*.f64 (fabs.f64 (cbrt.f64 (sinh.f64 x))) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))))
(*.f64 (sqrt.f64 (sinh.f64 x)) (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 x))) 3))
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) (sqrt.f64 (cbrt.f64 (sinh.f64 x))))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (sinh.f64 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) (cbrt.f64 (sqrt.f64 (sinh.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(/.f64 1 (/.f64 2 (*.f64 (sinh.f64 x) 2)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(/.f64 (*.f64 (sinh.f64 x) 2) 2)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) 2)) -2)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (sinh.f64 x) 1)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(log.f64 (exp.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(exp.f64 (log.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(log1p.f64 (expm1.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)

localize4.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

eval13.0ms (0.4%)

Compiler

Compiled 714 to 445 computations (37.7% saved)

prune7.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh000
Picked011
Done022
Total52355
Accurracy
100.0%
Counts
55 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
98.2%
(/.f64 (+.f64 x x) 2)
100.0%
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes13.0ms (0.4%)

Accuracy

Total -59.1b remaining (-1513593.4%)

Threshold costs -59.1b (-1513593.4%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 x x) 2)
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
Outputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
Calls

3 calls:

7.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
3.0ms
x
2.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
100.0%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 38 to 28 computations (26.3% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
11130
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (+.f64 x x) 2)
Outputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (+.f64 x x) 2)
Compiler

Compiled 13 to 10 computations (23.1% saved)

soundness74.0ms (2.5%)

Algorithm
egg-herbie
Rules
898×associate-*r/
804×fma-def
778×*-commutative
712×associate-*r*
658×associate-*l/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
066501
1179485
2576481
32145353
Stop Event
node limit
Compiler

Compiled 104 to 58 computations (44.2% saved)

end18.0ms (0.6%)

Compiler

Compiled 12 to 9 computations (25% saved)

Profiling

Loading profile data...