Linear.Quaternion:$ctan from linear-1.19.1.3

Time bar (total: 2.7s)

start0.0ms (0%)

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

analyze110.0ms (4%)

Memory
-12.6MiB live, 139.1MiB allocated; 54ms 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)

sample935.0ms (34.2%)

Memory
40.1MiB live, 1 546.8MiB allocated; 275ms collecting garbage
Samples
638.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 335.0ms
ival-cosh: 140.0ms (41.8% of total)
ival-div: 132.0ms (39.4% of total)
ival-mult: 59.0ms (17.6% of total)
adjust: 3.0ms (0.9% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain97.0ms (3.5%)

Memory
-0.6MiB live, 156.4MiB allocated; 35ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
230-0-(*.f64 (cosh.f64 x) (/.f64 y x))
70-0-(/.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*u230
(cosh.f64 x)overflow130
(/.f64 y x)underflow23
/.f64(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)o/n70
(cosh.f64 x)overflow130
(/.f64 y x)overflow27
(*.f64 (cosh.f64 x) (/.f64 y x))overflow157
Confusion
Predicted +Predicted -
+300
-0226
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3000
-00226
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0226
130
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
48.0ms512×0valid
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 (42.2% of total)
ival-cosh: 7.0ms (36.9% of total)
ival-mult: 3.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess182.0ms (6.7%)

Memory
-24.2MiB live, 212.4MiB allocated; 38ms 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 y z) #s(literal 2 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)) x) #s(literal 1 binary64)))
Symmetry

(negabs x)

(negabs y)

(negabs z)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.4%
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 8 to 7 computations (12.5% saved)

series26.0ms (0.9%)

Memory
16.6MiB live, 63.3MiB allocated; 5ms 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
y
@inf
((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) x (/ y x) y z)
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)
3.0ms
y
@-inf
((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) x (/ y x) y z)
3.0ms
y
@0
((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) x (/ y x) y z)

rewrite166.0ms (6.1%)

Memory
-17.9MiB live, 273.8MiB 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 (fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (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 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 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 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #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 (fma.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64) (/.f64 y z)) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) x) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 #s(literal 1/24 binary64) (/.f64 y z))) x) x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) x) (/.f64 (/.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 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x))
#s(approx (* (cosh x) (/ y x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) y) (*.f64 #s(literal 1/24 binary64) y)) x) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x x) x) (/.f64 y x)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 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)

eval8.0ms (0.3%)

Memory
27.5MiB live, 27.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 907 to 235 computations (74.1% saved)

prune22.0ms (0.8%)

Memory
6.5MiB live, 53.8MiB allocated; 4ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New61465
Fresh000
Picked101
Done000
Total62466
Accuracy
100.0%
Counts
66 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.9%
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64))
83.7%
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x)))
86.1%
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x))
88.3%
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
Compiler

Compiled 40 to 34 computations (15% saved)

series44.0ms (1.6%)

Memory
-5.2MiB live, 89.6MiB allocated; 8ms collecting garbage
Counts
20 → 63
Calls
Call 1
Inputs
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(/.f64 y x)
y
x
(/.f64 (cosh.f64 x) z)
(cosh.f64 x)
z
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x))
(/.f64 (/.f64 y z) x)
(/.f64 y z)
(/.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)
(*.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 (* (/ y x) (/ (cosh x) z)) #s(hole binary64 (/ y (* x z))))
#s(approx (* (/ y x) (/ (cosh x) z)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)))
#s(approx (* (/ y x) (/ (cosh x) z)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)))
#s(approx (* (/ y x) (/ (cosh 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 x) #s(hole binary64 (/ y x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (cosh x) z) #s(hole binary64 (/ 1 z)))
#s(approx (/ (cosh x) z) #s(hole binary64 (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z))))
#s(approx (/ (cosh x) z) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))))
#s(approx (/ (cosh x) z) #s(hole binary64 (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))))
#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 (* (/ (/ y z) x) (cosh x)) #s(hole binary64 (/ y (* x z))))
#s(approx (* (/ (/ y z) x) (cosh x)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)))
#s(approx (* (/ (/ y z) x) (cosh x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)))
#s(approx (* (/ (/ y z) x) (cosh 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 z) x) #s(hole binary64 (/ y (* x z))))
#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 (* 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 (* (/ y x) (/ (cosh x) z)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))))
#s(approx (/ (cosh x) z) #s(hole binary64 (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (/ (/ y z) x) (cosh x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))))
#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 (/ (* (/ (/ (* 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 #s(hole binary64 y))
#s(approx (/ y z) #s(hole binary64 (/ y z)))
#s(approx z #s(hole binary64 z))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
x
@inf
((* (/ y x) (/ (cosh x) z)) (/ y x) y x (/ (cosh x) z) (cosh x) z (* (/ (/ y z) x) (cosh x)) (/ (/ y z) x) (/ y z) (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) (* (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (* 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))
7.0ms
x
@0
((* (/ y x) (/ (cosh x) z)) (/ y x) y x (/ (cosh x) z) (cosh x) z (* (/ (/ y z) x) (cosh x)) (/ (/ y z) x) (/ y z) (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) (* (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (* 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
((* (/ y x) (/ (cosh x) z)) (/ y x) y x (/ (cosh x) z) (cosh x) z (* (/ (/ y z) x) (cosh x)) (/ (/ y z) x) (/ y z) (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) (* (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (* 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))
5.0ms
x
@-inf
((* (/ y x) (/ (cosh x) z)) (/ y x) y x (/ (cosh x) z) (cosh x) z (* (/ (/ y z) x) (cosh x)) (/ (/ y z) x) (/ y z) (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) (* (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (* 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))
4.0ms
z
@-inf
((* (/ y x) (/ (cosh x) z)) (/ y x) y x (/ (cosh x) z) (cosh x) z (* (/ (/ y z) x) (cosh x)) (/ (/ y z) x) (/ y z) (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) (* (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (* 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))

rewrite204.0ms (7.5%)

Memory
-23.2MiB live, 229.3MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02291459
02551362
112421318
081101252
Stop Event
iter limit
node limit
iter limit
Counts
83 → 344
Calls
Call 1
Inputs
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(/.f64 y x)
y
x
(/.f64 (cosh.f64 x) z)
(cosh.f64 x)
z
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x))
(/.f64 (/.f64 y z) x)
(/.f64 y z)
(/.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)
(*.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 (* (/ y x) (/ (cosh x) z)) #s(hole binary64 (/ y (* x z))))
#s(approx (* (/ y x) (/ (cosh x) z)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)))
#s(approx (* (/ y x) (/ (cosh x) z)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)))
#s(approx (* (/ y x) (/ (cosh 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 x) #s(hole binary64 (/ y x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (cosh x) z) #s(hole binary64 (/ 1 z)))
#s(approx (/ (cosh x) z) #s(hole binary64 (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z))))
#s(approx (/ (cosh x) z) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))))
#s(approx (/ (cosh x) z) #s(hole binary64 (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))))
#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 (* (/ (/ y z) x) (cosh x)) #s(hole binary64 (/ y (* x z))))
#s(approx (* (/ (/ y z) x) (cosh x)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)))
#s(approx (* (/ (/ y z) x) (cosh x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)))
#s(approx (* (/ (/ y z) x) (cosh 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 z) x) #s(hole binary64 (/ y (* x z))))
#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 (* 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 (* (/ y x) (/ (cosh x) z)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))))
#s(approx (/ (cosh x) z) #s(hole binary64 (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (/ (/ y z) x) (cosh x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))))
#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 (/ (* (/ (/ (* 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 #s(hole binary64 y))
#s(approx (/ y z) #s(hole binary64 (/ y z)))
#s(approx z #s(hole binary64 z))
Outputs
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(/.f64 (neg.f64 (*.f64 y (/.f64 (cosh.f64 x) z))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 y x) (cosh.f64 x))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 y (cosh.f64 x))) (*.f64 (neg.f64 x) z))
(/.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (neg.f64 y)) (*.f64 (neg.f64 z) (neg.f64 x)))
(/.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) y) (*.f64 (neg.f64 x) z))
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 y)) (*.f64 (neg.f64 x) z))
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (neg.f64 x) (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (*.f64 (neg.f64 x) z))
(/.f64 (*.f64 y (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (neg.f64 x) z))
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
(/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z)
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z 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
x
(/.f64 (neg.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (neg.f64 z))
(/.f64 (cosh.f64 x) z)
(neg.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) z))
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 z)))
(*.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
z
(*.f64 (/.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) #s(literal 2 binary64)) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) z) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) z)) (/.f64 y x))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (/.f64 y z))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 (cosh.f64 x) y) x))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (cosh.f64 x) y) z))
(*.f64 (/.f64 y (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x))
(*.f64 (/.f64 y (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) z))
(*.f64 (/.f64 (neg.f64 y) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 y) #s(literal -2 binary64)) (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 z x)) (/.f64 (*.f64 (cosh.f64 x) y) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) (/.f64 (neg.f64 y) #s(literal -2 binary64)))
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 y (*.f64 (*.f64 z x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)))
(*.f64 (/.f64 (/.f64 y x) z) (cosh.f64 x))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) z))
(/.f64 (neg.f64 (*.f64 (/.f64 y z) (cosh.f64 x))) (neg.f64 x))
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(*.f64 (/.f64 (/.f64 y x) z) (cosh.f64 x))
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(/.f64 (*.f64 (/.f64 y z) (cosh.f64 x)) x)
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(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 x) (neg.f64 z)))
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(neg.f64 (*.f64 (neg.f64 y) (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z)))
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(/.f64 (fma.f64 (exp.f64 x) (*.f64 z x) (*.f64 (*.f64 z x) (pow.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 (*.f64 z x) (*.f64 z x)))
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(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 z x)))
(neg.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) z)))
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(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) x))
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(/.f64 (fma.f64 (exp.f64 x) x (*.f64 x (pow.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 x x))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x)
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) x))
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(+.f64 (/.f64 (exp.f64 x) x) (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) x))
#s(approx (* (/ y x) (/ (cosh x) z)) (/.f64 (/.f64 y x) z))
#s(approx (* (/ y x) (/ (cosh x) z)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64) (/.f64 y z)) x))
#s(approx (* (/ y x) (/ (cosh x) z)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x)) (neg.f64 x) (*.f64 x (/.f64 (neg.f64 y) z))) (*.f64 (neg.f64 x) x)))
#s(approx (* (/ y x) (/ (cosh x) z)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 #s(literal 1/24 binary64) (/.f64 y z))) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x)) (neg.f64 x) (*.f64 x (/.f64 (neg.f64 y) z))) (*.f64 (neg.f64 x) x)))
#s(approx (/ y x) (/.f64 y x))
#s(approx x x)
#s(approx (/ (cosh x) z) (pow.f64 z #s(literal -1 binary64)))
#s(approx (/ (cosh x) z) (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/2 binary64) (pow.f64 z #s(literal -1 binary64))))
#s(approx (/ (cosh x) z) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 x x))))
#s(approx (/ (cosh x) z) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/720 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 x 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 (* (/ (/ y z) x) (cosh x)) (/.f64 (/.f64 y x) z))
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64) (/.f64 y z)) x))
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x)) (neg.f64 x) (*.f64 x (/.f64 (neg.f64 y) z))) (*.f64 (neg.f64 x) x)))
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 #s(literal 1/24 binary64) (/.f64 y z))) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x)) (neg.f64 x) (*.f64 x (/.f64 (neg.f64 y) z))) (*.f64 (neg.f64 x) x)))
#s(approx (/ (/ y z) x) (/.f64 (/.f64 y x) z))
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (/.f64 y x) z))
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64) (/.f64 y z)) x))
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x)) (neg.f64 x) (*.f64 x (/.f64 (neg.f64 y) z))) (*.f64 (neg.f64 x) x)))
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 #s(literal 1/24 binary64) (/.f64 y z))) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x)) (neg.f64 x) (*.f64 x (/.f64 (neg.f64 y) z))) (*.f64 (neg.f64 x) x)))
#s(approx (* (* 2 (cosh x)) y) (*.f64 #s(literal 2 binary64) y))
#s(approx (* (* 2 (cosh x)) y) (fma.f64 (*.f64 x x) y (*.f64 #s(literal 2 binary64) y)))
#s(approx (* (* 2 (cosh x)) y) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) y) y) (*.f64 x x) (*.f64 #s(literal 2 binary64) y)))
#s(approx (* (* 2 (cosh x)) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) y) (*.f64 #s(literal 1/12 binary64) y)) (*.f64 x x) y) (*.f64 x x) (*.f64 #s(literal 2 binary64) y)))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* 2 (cosh x)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* 2 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* 2 (* z x)) (*.f64 (*.f64 z x) #s(literal 2 binary64)))
#s(approx (* z x) (*.f64 z x))
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (/.f64 y x) z))
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64) (/.f64 y z)) x))
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x)) (neg.f64 x) (*.f64 x (/.f64 (neg.f64 y) z))) (*.f64 (neg.f64 x) x)))
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 #s(literal 1/24 binary64) (/.f64 y z))) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x)) (neg.f64 x) (*.f64 x (/.f64 (neg.f64 y) z))) (*.f64 (neg.f64 x) x)))
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) (*.f64 (/.f64 (/.f64 y x) z) #s(literal 2 binary64)))
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) (/.f64 (/.f64 (fma.f64 (*.f64 x x) y (*.f64 #s(literal 2 binary64) y)) z) x))
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) y) y) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 2 binary64))) x))
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) y) (*.f64 #s(literal 1/12 binary64) y)) z) (*.f64 x x) (/.f64 y z)) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 2 binary64))) x))
#s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 #s(literal 2 binary64) (*.f64 z x)))
#s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) z) x))
#s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (*.f64 x x)) x (*.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x)))
#s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) z) (*.f64 x x))) (*.f64 x x)) x (*.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x)))
#s(approx (/ (* 2 (cosh x)) x) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (* 2 (cosh x)) x) (/.f64 (fma.f64 x x #s(literal 2 binary64)) x))
#s(approx (/ (* 2 (cosh x)) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ (* 2 (cosh x)) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* (/ y x) (/ (cosh x) z)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y) #s(literal 1/2 binary64)))
#s(approx (/ (cosh x) z) (*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) z) #s(literal 1/2 binary64)))
#s(approx (cosh x) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (/ (/ y z) x) (cosh x)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y) #s(literal 1/2 binary64)))
#s(approx (* (/ (/ y z) x) (cosh x)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (cosh x)) y) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y))
#s(approx (* 2 (cosh x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (* (/ (/ y z) x) (cosh x)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y) #s(literal 1/2 binary64)))
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) (*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y))
#s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z))
#s(approx (/ (* 2 (cosh x)) x) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x))
#s(approx y y)
#s(approx (/ y z) (/.f64 y z))
#s(approx z z)

eval46.0ms (1.7%)

Memory
-11.0MiB live, 80.0MiB allocated; 16ms collecting garbage
Compiler

Compiled 6 316 to 1 150 computations (81.8% saved)

prune160.0ms (5.9%)

Memory
3.0MiB live, 243.5MiB allocated; 34ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3561357
Fresh000
Picked044
Done000
Total3565361
Accuracy
100.0%
Counts
361 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.9%
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64))
96.2%
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) #s(literal 2 binary64))
83.7%
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x)))
86.1%
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x))
88.3%
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
Compiler

Compiled 52 to 44 computations (15.4% saved)

series16.0ms (0.6%)

Memory
33.7MiB live, 33.7MiB allocated; 0ms collecting garbage
Counts
10 → 29
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 (*.f64 (cosh.f64 x) y) z)
(*.f64 (cosh.f64 x) y)
(cosh.f64 x)
y
z
Outputs
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) #s(hole binary64 (/ y (* x z))))
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)))
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)))
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 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 x) (/ (* (cosh x) y) z)) #s(hole binary64 (* 2 (/ y (* x z)))))
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) #s(hole binary64 (/ (+ (* 2 (/ y z)) (/ (* (pow x 2) y) z)) x)))
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) #s(hole binary64 (/ (+ (* 2 (/ y z)) (* (pow x 2) (+ (* 1/12 (/ (* (pow x 2) y) z)) (/ y z)))) x)))
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) #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 x) #s(hole binary64 (/ 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (cosh x) y) z) #s(hole binary64 (/ y z)))
#s(approx (/ (* (cosh x) y) z) #s(hole binary64 (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))))
#s(approx (/ (* (cosh x) y) z) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))))
#s(approx (/ (* (cosh 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 (* (cosh x) y) #s(hole binary64 y))
#s(approx (* (cosh x) y) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y)))))
#s(approx (* (cosh x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))))
#s(approx (* (cosh x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))))
#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 x) (/ (* (cosh x) y) z)) 2) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))))
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) #s(hole binary64 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))
#s(approx (/ (* (cosh x) y) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))))
#s(approx (* (cosh x) y) #s(hole binary64 (* 1/2 (* y (+ (exp x) (/ 1 (exp 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
2.0ms
y
@-inf
((/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (* (/ 2 x) (/ (* (cosh x) y) z)) (/ 2 x) 2 x (/ (* (cosh x) y) z) (* (cosh x) y) (cosh x) y z)
2.0ms
x
@-inf
((/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (* (/ 2 x) (/ (* (cosh x) y) z)) (/ 2 x) 2 x (/ (* (cosh x) y) z) (* (cosh x) y) (cosh x) y z)
2.0ms
z
@-inf
((/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (* (/ 2 x) (/ (* (cosh x) y) z)) (/ 2 x) 2 x (/ (* (cosh x) y) z) (* (cosh x) y) (cosh x) y z)
2.0ms
x
@inf
((/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (* (/ 2 x) (/ (* (cosh x) y) z)) (/ 2 x) 2 x (/ (* (cosh x) y) z) (* (cosh x) y) (cosh x) y z)
2.0ms
y
@inf
((/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (* (/ 2 x) (/ (* (cosh x) y) z)) (/ 2 x) 2 x (/ (* (cosh x) y) z) (* (cosh x) y) (cosh x) y z)

rewrite202.0ms (7.4%)

Memory
-25.6MiB live, 310.1MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127639
0135634
1707592
06750562
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
39 → 110
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 (*.f64 (cosh.f64 x) y) z)
(*.f64 (cosh.f64 x) y)
(cosh.f64 x)
y
z
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) #s(hole binary64 (/ y (* x z))))
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)))
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)))
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 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 x) (/ (* (cosh x) y) z)) #s(hole binary64 (* 2 (/ y (* x z)))))
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) #s(hole binary64 (/ (+ (* 2 (/ y z)) (/ (* (pow x 2) y) z)) x)))
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) #s(hole binary64 (/ (+ (* 2 (/ y z)) (* (pow x 2) (+ (* 1/12 (/ (* (pow x 2) y) z)) (/ y z)))) x)))
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) #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 x) #s(hole binary64 (/ 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (cosh x) y) z) #s(hole binary64 (/ y z)))
#s(approx (/ (* (cosh x) y) z) #s(hole binary64 (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))))
#s(approx (/ (* (cosh x) y) z) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))))
#s(approx (/ (* (cosh 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 (* (cosh x) y) #s(hole binary64 y))
#s(approx (* (cosh x) y) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y)))))
#s(approx (* (cosh x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))))
#s(approx (* (cosh x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))))
#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 x) (/ (* (cosh x) y) z)) 2) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))))
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) #s(hole binary64 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))
#s(approx (/ (* (cosh x) y) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))))
#s(approx (* (cosh x) y) #s(hole binary64 (* 1/2 (* y (+ (exp x) (/ 1 (exp 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 (*.f64 (cosh.f64 x) y) z) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) #s(literal 2 binary64))) x)
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (cosh.f64 x) y) z)) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) (*.f64 z #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) y) (*.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) (neg.f64 z)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 (*.f64 z x) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) (/.f64 y z)) #s(literal 2 binary64))
(neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) (neg.f64 z)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) (/.f64 y z)) #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (cosh.f64 x)) (/.f64 y z))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) (/.f64 y z))
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (*.f64 (cosh.f64 x) y) x))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) x) y)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) (/.f64 y x))
(*.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 y x) z))
(*.f64 (/.f64 y z) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) (/.f64 #s(literal 2 binary64) x))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (/.f64 y x) z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z))
(*.f64 y (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) x))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)))
(/.f64 (*.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (/.f64 #s(literal 2 binary64) x)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 y x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) z)
(/.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) #s(literal -2 binary64)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 y) (cosh.f64 x))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) z)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) y)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x)) (neg.f64 z))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (cosh.f64 x) y) z)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) #s(literal -2 binary64)) (*.f64 (neg.f64 z) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) z))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) y) #s(literal -2 binary64)) (*.f64 (neg.f64 x) z))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) (cosh.f64 x))) (*.f64 (neg.f64 x) (neg.f64 z)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) y)) (*.f64 (neg.f64 x) z))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) (cosh.f64 x))) (*.f64 (neg.f64 x) z))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) z)
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) y) x)
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 x) z))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 z x))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) (neg.f64 z)))
(+.f64 (/.f64 (*.f64 (exp.f64 x) y) (*.f64 z x)) (/.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal -2 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 2 binary64) x)
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)
x
(*.f64 (/.f64 y z) (cosh.f64 x))
(*.f64 (cosh.f64 x) (/.f64 y z))
(*.f64 y (/.f64 (cosh.f64 x) z))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (cosh.f64 x))) (neg.f64 (neg.f64 z)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) y) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 (cosh.f64 x) y) z)
(neg.f64 (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 z)))
(*.f64 (cosh.f64 x) y)
(*.f64 y (cosh.f64 x))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (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 (fma.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 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 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))
y
z
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (/.f64 (/.f64 y x) z))
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64) (/.f64 y z)) x))
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) x) (/.f64 (/.f64 y x) z)))
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 x x) y) z)) x) x (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x x) x) (/.f64 (/.f64 y x) z)))
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) (*.f64 (/.f64 (/.f64 y x) z) #s(literal 2 binary64)))
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) (/.f64 (fma.f64 (/.f64 y z) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x x) y) z)) x))
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (/.f64 y z)) (/.f64 (*.f64 x x) x) (*.f64 (/.f64 (/.f64 y x) z) #s(literal 2 binary64))))
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (/.f64 (*.f64 (*.f64 x x) y) z) (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (/.f64 y z))) (/.f64 (*.f64 x x) x) (*.f64 (/.f64 (/.f64 y x) z) #s(literal 2 binary64))))
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (/ (* (cosh x) y) z) (/.f64 y z))
#s(approx (/ (* (cosh x) y) z) (fma.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64) (/.f64 y z)))
#s(approx (/ (* (cosh x) y) z) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x) x (/.f64 y z)))
#s(approx (/ (* (cosh x) y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 x x) y) z)) x) x (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64)))) (*.f64 x x) (/.f64 y z)))
#s(approx (* (cosh x) y) y)
#s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y))
#s(approx (* (cosh x) y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y))
#s(approx (* (cosh x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) y)) x) x (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y) (*.f64 #s(literal 1/2 binary64) y))) (*.f64 x x) y))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 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 (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z)))
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) (/.f64 y z)))
#s(approx (/ (* (cosh x) y) z) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) y) #s(literal 1/2 binary64)))
#s(approx (* (cosh x) y) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) #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)

eval15.0ms (0.5%)

Memory
-15.2MiB live, 31.4MiB allocated; 6ms collecting garbage
Compiler

Compiled 1 934 to 430 computations (77.8% saved)

prune57.0ms (2.1%)

Memory
23.1MiB live, 76.1MiB allocated; 11ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1130113
Fresh000
Picked011
Done044
Total1135118
Accuracy
100.0%
Counts
118 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.9%
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64))
96.2%
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) #s(literal 2 binary64))
83.7%
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x)))
86.1%
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x))
88.3%
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
Compiler

Compiled 112 to 71 computations (36.6% saved)

regimes26.0ms (0.9%)

Memory
-13.5MiB live, 32.3MiB allocated; 7ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 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 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64))
Calls

5 calls:

9.0ms
x
4.0ms
y
4.0ms
z
4.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
4.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
99.9%2(*.f64 (cosh.f64 x) (/.f64 y x))
99.9%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
98.4%2x
96.2%1y
99.9%2z
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes8.0ms (0.3%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 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 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) #s(literal 2 binary64))
Calls

2 calls:

3.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
3.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
99.9%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
99.9%2(*.f64 (cosh.f64 x) (/.f64 y x))
Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes20.0ms (0.7%)

Memory
-15.3MiB live, 31.1MiB allocated; 7ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 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 (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)))
Calls

5 calls:

7.0ms
z
4.0ms
x
3.0ms
y
3.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
3.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
93.3%3y
88.4%1x
95.3%3z
95.0%2(*.f64 (cosh.f64 x) (/.f64 y x))
95.0%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes5.0ms (0.2%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Outputs
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Calls

3 calls:

2.0ms
z
1.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
1.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
92.2%2z
91.9%2(*.f64 (cosh.f64 x) (/.f64 y x))
91.9%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes1.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x))
Outputs
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
Calls

1 calls:

1.0ms
z
Results
AccuracySegmentsBranch
92.2%2z
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.2%)

Memory
10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
Outputs
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
Calls

5 calls:

1.0ms
x
1.0ms
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
88.3%1x
88.3%1y
88.3%1(*.f64 (cosh.f64 x) (/.f64 y x))
88.3%1(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
88.3%1z
Compiler

Compiled 17 to 22 computations (-29.4% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2233731402564198e+160
3.8093227359868255e+165
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.533810706344402e+264
2.2113077661954775e+275
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch6.0ms (0.2%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
5.0ms
2067165730.477986
67640633480.08763
Samples
3.0ms48×0valid
Compiler

Compiled 59 to 61 computations (-3.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (61.8% of total)
ival-cosh: 1.0ms (61.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.4%)

Memory
-31.2MiB live, 15.3MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
2067165730.477986
67640633480.08763
Samples
8.0ms64×0valid
Compiler

Compiled 123 to 125 computations (-1.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (46.4% of total)
ival-cosh: 1.0ms (46.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify43.0ms (1.6%)

Memory
1.6MiB live, 52.2MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042139
144139
247139
353139
485139
5407139
63469139
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 20000000000000000130568154901364531136913284297772534236897689091041023555676362285020675019977734071632684940374351570387500235297087060712369097300876562792448 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) #s(literal 2 binary64)))
(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) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x))))
(if (<=.f64 z #s(literal 10000000000 binary64)) (*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z))
(if (<=.f64 z #s(literal 12200000000 binary64)) (*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) (*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
Outputs
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 20000000000000000130568154901364531136913284297772534236897689091041023555676362285020675019977734071632684940374351570387500235297087060712369097300876562792448 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) #s(literal 2 binary64)))
(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) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x))))
(if (<=.f64 z #s(literal 10000000000 binary64)) (*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z))
(if (<=.f64 z #s(literal 12200000000 binary64)) (*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) (*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))

derivations104.0ms (3.8%)

Memory
16.5MiB live, 155.6MiB allocated; 14ms collecting garbage
Stop Event
done
Compiler

Compiled 139 to 42 computations (69.8% saved)

preprocess213.0ms (7.8%)

Memory
3.3MiB live, 288.2MiB allocated; 82ms collecting garbage
Remove

(negabs z)

Compiler

Compiled 584 to 258 computations (55.8% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...