Linear.Quaternion:$ctan from linear-1.19.1.3

Time bar (total: 3.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze80.0ms (2.4%)

Memory
25.2MiB live, 122.1MiB allocated; 15ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.5%34.3%0.1%0%0%0%8
65.6%65.5%34.3%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
82%81.9%17.9%0.1%0%0%0%11
82%81.9%17.9%0.1%0%0%0%12
Compiler

Compiled 10 to 9 computations (10% saved)

sample749.0ms (22.5%)

Memory
-18.8MiB live, 1 217.3MiB allocated; 51ms collecting garbage
Samples
494.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 281.0ms
ival-div: 117.0ms (41.7% of total)
ival-cosh: 107.0ms (38.1% of total)
ival-mult: 51.0ms (18.2% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain72.0ms (2.2%)

Memory
36.7MiB live, 137.7MiB allocated; 3ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
350-0-(*.f64 (cosh.f64 x) (/.f64 y x))
90-0-(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
00-0-(/.f64 y x)
00-0-y
00-0-(cosh.f64 x)
00-0-z
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (cosh.f64 x) (/.f64 y x))o*u350
(cosh.f64 x)overflow129
(/.f64 y x)underflow35
/.f64(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)o/n90
(cosh.f64 x)overflow129
(/.f64 y x)overflow28
(*.f64 (cosh.f64 x) (/.f64 y x))overflow157
Confusion
Predicted +Predicted -
+440
-0212
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4400
-00212
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0212
144
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms512×0valid
Compiler

Compiled 56 to 25 computations (55.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 8.0ms (43% of total)
ival-cosh: 7.0ms (37.6% of total)
ival-mult: 3.0ms (16.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess158.0ms (4.7%)

Memory
-36.3MiB live, 200.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03286
19483
229483
391183
4498283
078
0118
1228
2518
31518
47868
555238
081098
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Outputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)
Symmetry

(negabs x)

(negabs y)

(negabs z)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.9%
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 8 to 7 computations (12.5% saved)

series20.0ms (0.6%)

Memory
32.2MiB live, 32.2MiB allocated; 0ms collecting garbage
Counts
7 → 19
Calls
Call 1
Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (cosh.f64 x) (/.f64 y x))
(cosh.f64 x)
x
(/.f64 y x)
y
z
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ y (* x z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)))
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ y x)))
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x)))
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)))
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))))
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx y #s(hole binary64 y))
#s(approx z #s(hole binary64 z))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) x (/ y x) y z)
3.0ms
x
@inf
((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) x (/ y x) y z)
2.0ms
y
@0
((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) x (/ y x) y z)
2.0ms
y
@-inf
((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) x (/ y x) y z)
2.0ms
y
@inf
((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) x (/ y x) y z)

rewrite163.0ms (4.9%)

Memory
-30.1MiB live, 218.6MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096350
0100347
1544327
05082309
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
26 → 63
Calls
Call 1
Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (cosh.f64 x) (/.f64 y x))
(cosh.f64 x)
x
(/.f64 y x)
y
z
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ y (* x z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)))
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ y x)))
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x)))
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)))
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))))
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx y #s(hole binary64 y))
#s(approx z #s(hole binary64 z))
Outputs
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 y)) (*.f64 (neg.f64 z) x))
(/.f64 (neg.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 x))) (neg.f64 (neg.f64 z)))
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) x)))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 x)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) (*.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x)))
(/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z)
(neg.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 x)) z))
(neg.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) (neg.f64 z)))
(*.f64 (/.f64 y x) (cosh.f64 x))
(*.f64 (cosh.f64 x) (/.f64 y x))
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 y x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) y)) (neg.f64 x))
(/.f64 (*.f64 (cosh.f64 x) y) x)
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
x
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
(neg.f64 (/.f64 y (neg.f64 x)))
y
z
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) z) (*.f64 x x) (/.f64 y z)) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x))
#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x))
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y) x))
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (/ y x) (/.f64 y x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z)))
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) #s(literal 1/2 binary64)))
#s(approx (cosh x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx y y)
#s(approx z z)

eval6.0ms (0.2%)

Memory
15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 867 to 225 computations (74% saved)

prune29.0ms (0.9%)

Memory
10.2MiB live, 57.1MiB allocated; 2ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New62365
Fresh000
Picked011
Done000
Total62466
Accuracy
100.0%
Counts
66 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64))
82.0%
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x)))
82.9%
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
84.2%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x))
Compiler

Compiled 69 to 47 computations (31.9% saved)

series68.0ms (2%)

Memory
-14.4MiB live, 129.7MiB allocated; 9ms collecting garbage
Counts
27 → 104
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x))
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)
(fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z))
(fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64)))
(/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z)
(*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
y
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
z
(*.f64 (/.f64 y z) #s(literal 1/2 binary64))
(/.f64 y z)
#s(literal 1/2 binary64)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
#s(literal 2 binary64)
(cosh.f64 x)
(*.f64 #s(literal 2 binary64) (*.f64 z x))
(*.f64 z x)
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y)
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z)
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x)
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ y (* x z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (/ y (* x z))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (/ y z)))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (* 1/2 (/ y z))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))))
#s(approx (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) #s(hole binary64 (* 1/24 (/ y z))))
#s(approx (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) #s(hole binary64 (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* 1/24 y)))
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (/ y (* x z))))
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)))
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)))
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)))
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (* 2 y)))
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (+ (* 2 y) (* (pow x 2) y))))
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (+ (* 2 y) (* (pow x 2) (+ y (* 1/12 (* (pow x 2) y)))))))
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (+ (* 2 y) (* (pow x 2) (+ y (* (pow x 2) (+ (* 1/360 (* (pow x 2) y)) (* 1/12 y))))))))
#s(approx (* 2 (cosh x)) #s(hole binary64 2))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (* 2 (* z x)) #s(hole binary64 (* 2 (* x z))))
#s(approx (* z x) #s(hole binary64 (* x z)))
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ y (* x z))))
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)))
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)))
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)))
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (* 2 (/ y (* x z)))))
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (+ (* 2 (/ y z)) (/ (* (pow x 2) y) z)) x)))
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (+ (* 2 (/ y z)) (* (pow x 2) (+ (* 1/12 (/ (* (pow x 2) y) z)) (/ y z)))) x)))
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (+ (* 2 (/ y z)) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (/ (* (pow x 2) y) z)) (* 1/12 (/ y z)))) (/ y z)))) x)))
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ 2 (* x z))))
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (* 2 (/ 1 z)) (/ (pow x 2) z)) x)))
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/12 (/ (pow x 2) z)) (/ 1 z))) (* 2 (/ 1 z))) x)))
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (/ (pow x 2) z)) (* 1/12 (/ 1 z)))) (/ 1 z))) (* 2 (/ 1 z))) x)))
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ 2 (pow x 2)) x)))
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) x)))
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (* 1/720 (/ (* (pow x 5) y) z))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z))))))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (* 1/720 (/ (* (pow x 6) y) z))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (* (pow x 6) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z))))))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (* 1/720 (/ (* (pow x 4) y) z))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (* (pow x 4) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (* (pow x 4) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))))
#s(approx (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) #s(hole binary64 (* 1/720 (/ (* (pow x 2) y) z))))
#s(approx (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) #s(hole binary64 (* (pow x 2) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))))
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* 1/720 (* (pow x 2) y))))
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* (pow x 2) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))))
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (* y (+ (exp x) (/ 1 (exp x))))))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))))
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (exp x) (/ 1 (exp x))) (* x z))))
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ (exp x) (/ 1 (exp x))) x)))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (/ (* y (+ (* (pow x 2) (+ (* 1/2 (/ 1 z)) (/ (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) z))) (/ 1 z))) x)))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (* y (+ (* (pow x 2) (+ (* 1/2 (/ 1 z)) (/ (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) z))) (/ 1 z)))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (* y (+ (* 1/2 (/ 1 z)) (/ (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) z)))))
#s(approx (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) #s(hole binary64 (/ (* y (+ 1/24 (* 1/720 (pow x 2)))) z)))
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* y (+ 1/24 (* 1/720 (pow x 2))))))
#s(approx y #s(hole binary64 y))
#s(approx (* (/ y z) 1/2) #s(hole binary64 (* 1/2 (/ y z))))
#s(approx (/ y z) #s(hole binary64 (/ y z)))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (* -1 (/ (* y (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) z)) (* 1/2 (/ 1 z)))) (/ 1 z))) x))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (* -1 (* y (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) z)) (* 1/2 (/ 1 z)))) (/ 1 z))))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) z)) (* 1/2 (/ 1 z)))))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (* y (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (* y (+ 1/24 (* 1/720 (pow x 2)))))))) z)))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (/ (+ (* 1/2 y) (* (pow x 2) (* y (+ 1/24 (* 1/720 (pow x 2)))))) z)))
#s(approx z #s(hole binary64 z))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (* -1 (/ (+ (* -1 y) (* (pow x 2) (+ (* -1 (* (pow x 2) (* y (+ 1/24 (* 1/720 (pow x 2)))))) (* -1/2 y)))) (* x z)))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (* -1 (/ (+ (* -1 y) (* (pow x 2) (+ (* -1 (* (pow x 2) (* y (+ 1/24 (* 1/720 (pow x 2)))))) (* -1/2 y)))) z))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow x 2) (* y (+ 1/24 (* 1/720 (pow x 2)))))) (* -1/2 y)) z))))
Calls

9 calls:

TimeVariablePointExpression
12.0ms
x
@0
((/ (* (cosh x) (/ y x)) z) (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* y (+ (* 1/720 (* x x)) 1/24)) y (+ (* 1/720 (* x x)) 1/24) 1/720 (* x x) x 1/24 z (* (/ y z) 1/2) (/ y z) 1/2 (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) (* (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (cosh x) (* 2 (* z x)) (* z x) (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (* (/ (/ (* 2 (cosh x)) x) z) y) (/ (/ (* 2 (cosh x)) x) z) (/ (* 2 (cosh x)) x))
10.0ms
z
@0
((/ (* (cosh x) (/ y x)) z) (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* y (+ (* 1/720 (* x x)) 1/24)) y (+ (* 1/720 (* x x)) 1/24) 1/720 (* x x) x 1/24 z (* (/ y z) 1/2) (/ y z) 1/2 (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) (* (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (cosh x) (* 2 (* z x)) (* z x) (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (* (/ (/ (* 2 (cosh x)) x) z) y) (/ (/ (* 2 (cosh x)) x) z) (/ (* 2 (cosh x)) x))
9.0ms
z
@-inf
((/ (* (cosh x) (/ y x)) z) (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* y (+ (* 1/720 (* x x)) 1/24)) y (+ (* 1/720 (* x x)) 1/24) 1/720 (* x x) x 1/24 z (* (/ y z) 1/2) (/ y z) 1/2 (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) (* (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (cosh x) (* 2 (* z x)) (* z x) (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (* (/ (/ (* 2 (cosh x)) x) z) y) (/ (/ (* 2 (cosh x)) x) z) (/ (* 2 (cosh x)) x))
6.0ms
y
@0
((/ (* (cosh x) (/ y x)) z) (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* y (+ (* 1/720 (* x x)) 1/24)) y (+ (* 1/720 (* x x)) 1/24) 1/720 (* x x) x 1/24 z (* (/ y z) 1/2) (/ y z) 1/2 (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) (* (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (cosh x) (* 2 (* z x)) (* z x) (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (* (/ (/ (* 2 (cosh x)) x) z) y) (/ (/ (* 2 (cosh x)) x) z) (/ (* 2 (cosh x)) x))
6.0ms
y
@-inf
((/ (* (cosh x) (/ y x)) z) (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* y (+ (* 1/720 (* x x)) 1/24)) y (+ (* 1/720 (* x x)) 1/24) 1/720 (* x x) x 1/24 z (* (/ y z) 1/2) (/ y z) 1/2 (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) (* (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (cosh x) (* 2 (* z x)) (* z x) (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (* (/ (/ (* 2 (cosh x)) x) z) y) (/ (/ (* 2 (cosh x)) x) z) (/ (* 2 (cosh x)) x))

rewrite275.0ms (8.2%)

Memory
-24.4MiB live, 260.3MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03753418
04133229
119363144
089593008
Stop Event
iter limit
node limit
iter limit
Counts
131 → 421
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x))
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)
(fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z))
(fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64)))
(/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z)
(*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
y
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
z
(*.f64 (/.f64 y z) #s(literal 1/2 binary64))
(/.f64 y z)
#s(literal 1/2 binary64)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
#s(literal 2 binary64)
(cosh.f64 x)
(*.f64 #s(literal 2 binary64) (*.f64 z x))
(*.f64 z x)
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y)
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z)
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ y (* x z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (/ y (* x z))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (/ y z)))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (* 1/2 (/ y z))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))))
#s(approx (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) #s(hole binary64 (* 1/24 (/ y z))))
#s(approx (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) #s(hole binary64 (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* 1/24 y)))
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (/ y (* x z))))
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)))
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)))
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)))
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (* 2 y)))
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (+ (* 2 y) (* (pow x 2) y))))
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (+ (* 2 y) (* (pow x 2) (+ y (* 1/12 (* (pow x 2) y)))))))
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (+ (* 2 y) (* (pow x 2) (+ y (* (pow x 2) (+ (* 1/360 (* (pow x 2) y)) (* 1/12 y))))))))
#s(approx (* 2 (cosh x)) #s(hole binary64 2))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (* 2 (* z x)) #s(hole binary64 (* 2 (* x z))))
#s(approx (* z x) #s(hole binary64 (* x z)))
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ y (* x z))))
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)))
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)))
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)))
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (* 2 (/ y (* x z)))))
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (+ (* 2 (/ y z)) (/ (* (pow x 2) y) z)) x)))
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (+ (* 2 (/ y z)) (* (pow x 2) (+ (* 1/12 (/ (* (pow x 2) y) z)) (/ y z)))) x)))
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (+ (* 2 (/ y z)) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (/ (* (pow x 2) y) z)) (* 1/12 (/ y z)))) (/ y z)))) x)))
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ 2 (* x z))))
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (* 2 (/ 1 z)) (/ (pow x 2) z)) x)))
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/12 (/ (pow x 2) z)) (/ 1 z))) (* 2 (/ 1 z))) x)))
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (/ (pow x 2) z)) (* 1/12 (/ 1 z)))) (/ 1 z))) (* 2 (/ 1 z))) x)))
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ 2 (pow x 2)) x)))
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) x)))
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (* 1/720 (/ (* (pow x 5) y) z))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z))))))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (* 1/720 (/ (* (pow x 6) y) z))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (* (pow x 6) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z))))))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (* 1/720 (/ (* (pow x 4) y) z))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (* (pow x 4) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (* (pow x 4) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))))
#s(approx (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) #s(hole binary64 (* 1/720 (/ (* (pow x 2) y) z))))
#s(approx (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) #s(hole binary64 (* (pow x 2) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))))
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* 1/720 (* (pow x 2) y))))
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* (pow x 2) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))))
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (* y (+ (exp x) (/ 1 (exp x))))))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))))
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (exp x) (/ 1 (exp x))) (* x z))))
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ (exp x) (/ 1 (exp x))) x)))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (/ (* y (+ (* (pow x 2) (+ (* 1/2 (/ 1 z)) (/ (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) z))) (/ 1 z))) x)))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (* y (+ (* (pow x 2) (+ (* 1/2 (/ 1 z)) (/ (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) z))) (/ 1 z)))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (* y (+ (* 1/2 (/ 1 z)) (/ (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) z)))))
#s(approx (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) #s(hole binary64 (/ (* y (+ 1/24 (* 1/720 (pow x 2)))) z)))
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* y (+ 1/24 (* 1/720 (pow x 2))))))
#s(approx y #s(hole binary64 y))
#s(approx (* (/ y z) 1/2) #s(hole binary64 (* 1/2 (/ y z))))
#s(approx (/ y z) #s(hole binary64 (/ y z)))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (* -1 (/ (* y (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) z)) (* 1/2 (/ 1 z)))) (/ 1 z))) x))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (* -1 (* y (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) z)) (* 1/2 (/ 1 z)))) (/ 1 z))))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))) z)) (* 1/2 (/ 1 z)))))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (* y (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (* y (+ 1/24 (* 1/720 (pow x 2)))))))) z)))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (/ (+ (* 1/2 y) (* (pow x 2) (* y (+ 1/24 (* 1/720 (pow x 2)))))) z)))
#s(approx z #s(hole binary64 z))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) #s(hole binary64 (* -1 (/ (+ (* -1 y) (* (pow x 2) (+ (* -1 (* (pow x 2) (* y (+ 1/24 (* 1/720 (pow x 2)))))) (* -1/2 y)))) (* x z)))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) #s(hole binary64 (* -1 (/ (+ (* -1 y) (* (pow x 2) (+ (* -1 (* (pow x 2) (* y (+ 1/24 (* 1/720 (pow x 2)))))) (* -1/2 y)))) z))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow x 2) (* y (+ 1/24 (* 1/720 (pow x 2)))))) (* -1/2 y)) z))))
Outputs
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x) (/.f64 y z)) x))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x)) x) (/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x)) x) (-.f64 (*.f64 (/.f64 (/.f64 y z) x) (/.f64 (/.f64 y z) x)) (*.f64 (/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x)) x) (/.f64 (/.f64 y z) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x) (/.f64 y z)))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x)) x (*.f64 x (/.f64 y z))) (*.f64 x x))
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x) (/.f64 y z))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x) (/.f64 y z)) x)
(+.f64 (/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x)) x) (/.f64 (/.f64 y z) x))
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#s(approx (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (*.f64 (fma.f64 (/.f64 y (*.f64 (*.f64 x x) z)) #s(literal 1/24 binary64) (*.f64 (/.f64 y z) #s(literal 1/720 binary64))) (*.f64 x x)))
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/720 binary64)))
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) y)) (*.f64 x x)))
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (*.f64 x x)))
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (cosh x)) y) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y))
#s(approx (* 2 (cosh x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
#s(approx (cosh x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 1/2 binary64)))
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y))
#s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z))
#s(approx (/ (* 2 (cosh x)) x) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (/.f64 y z) (*.f64 #s(literal -1/24 binary64) (/.f64 y (*.f64 (*.f64 x x) z)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 4 binary64)) z)) (fma.f64 #s(literal -1/720 binary64) (/.f64 y z) (*.f64 #s(literal -1/24 binary64) (/.f64 y (*.f64 (*.f64 x x) z))))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 6 binary64)) z)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 4 binary64)) z)) (fma.f64 #s(literal -1/720 binary64) (/.f64 y z) (*.f64 #s(literal -1/24 binary64) (/.f64 y (*.f64 (*.f64 x x) z)))))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) (/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) z) (*.f64 x x) (pow.f64 z #s(literal -1 binary64))) y) x))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) (*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) z) (*.f64 x x) (pow.f64 z #s(literal -1 binary64))) y))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) z) y))
#s(approx (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) z))
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y))
#s(approx y y)
#s(approx (* (/ y z) 1/2) (*.f64 (/.f64 y z) #s(literal 1/2 binary64)))
#s(approx (/ y z) (/.f64 y z))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) (/.f64 (*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)) z) (*.f64 x x)) (pow.f64 z #s(literal -1 binary64)))) x))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) (*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)) z) (*.f64 x x)) (pow.f64 z #s(literal -1 binary64)))))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (*.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)) z)))
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) (*.f64 z x)))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) z))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z))
#s(approx z z)
#s(approx (/ (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) x) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x)))) (*.f64 x x) (neg.f64 y)) (*.f64 z x))))
#s(approx (+ (* (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (* x x)) (/ y z)) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x)))) (*.f64 x x) (neg.f64 y)) z)))
#s(approx (+ (* (/ (* y (+ (* 1/720 (* x x)) 1/24)) z) (* x x)) (* (/ y z) 1/2)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x)))) z)))

eval64.0ms (1.9%)

Memory
17.5MiB live, 152.3MiB allocated; 11ms collecting garbage
Compiler

Compiled 17 249 to 2 270 computations (86.8% saved)

prune1.5s (43.8%)

Memory
39.5MiB live, 3 256.2MiB allocated; 98ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New4900490
Fresh000
Picked033
Done011
Total4904494
Accuracy
100.0%
Counts
494 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64))
82.0%
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x)))
82.9%
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
84.2%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x))
Compiler

Compiled 138 to 81 computations (41.3% saved)

regimes9.0ms (0.3%)

Memory
-23.3MiB live, 24.6MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x)))
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64))
Calls

5 calls:

2.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
2.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
98.4%1(*.f64 (cosh.f64 x) (/.f64 y x))
98.4%1(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
98.4%1x
98.4%1y
98.4%1z
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes8.0ms (0.2%)

Memory
23.3MiB live, 23.3MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x)))
Outputs
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x))
Calls

5 calls:

2.0ms
x
2.0ms
y
1.0ms
z
1.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
1.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
95.1%2(*.f64 (cosh.f64 x) (/.f64 y x))
95.1%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
96.2%2x
87.6%2y
88.7%2z
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes4.0ms (0.1%)

Memory
-35.9MiB live, 12.2MiB allocated; 1ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Outputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x))
Calls

3 calls:

2.0ms
x
1.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
1.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
95.1%2(*.f64 (cosh.f64 x) (/.f64 y x))
95.1%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
95.0%2x
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes5.0ms (0.2%)

Memory
17.5MiB live, 17.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x))
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x))
Calls

5 calls:

1.0ms
z
1.0ms
y
1.0ms
x
1.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
1.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
84.2%1y
84.2%1z
84.2%1x
84.2%1(*.f64 (cosh.f64 x) (/.f64 y x))
84.2%1(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 17 to 22 computations (-29.4% saved)

bsearch16.0ms (0.5%)

Memory
-10.1MiB live, 37.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
5.541676336643849e+60
3.5466418926502824e+68
Samples
9.0ms144×0valid
Compiler

Compiled 452 to 301 computations (33.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (43.4% of total)
ival-cosh: 2.0ms (43.4% of total)
ival-mult: 1.0ms (21.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify54.0ms (1.6%)

Memory
21.3MiB live, 69.0MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040158
152158
282158
3201158
4970158
57347158
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 349999999999999977495517081476205470457086444929120696345775986180096 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal +inf.0 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x))
Outputs
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 349999999999999977495517081476205470457086444929120696345775986180096 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal +inf.0 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x))

derivations50.0ms (1.5%)

Memory
-31.7MiB live, 64.8MiB allocated; 2ms collecting garbage
Stop Event
done
Compiler

Compiled 158 to 40 computations (74.7% saved)

preprocess42.0ms (1.3%)

Memory
4.6MiB live, 99.3MiB allocated; 3ms collecting garbage
Remove

(negabs z)

(negabs y)

(negabs x)

Compiler

Compiled 404 to 154 computations (61.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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