Linear.Quaternion:$ctan from linear-1.19.1.3

Time bar (total: 10.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze68.0ms (0.7%)

Memory
4.1MiB live, 85.0MiB allocated
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)

sample840.0ms (8%)

Memory
13.6MiB live, 1 083.0MiB allocated
Samples
529.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 309.0ms
ival-div: 147.0ms (47.6% of total)
ival-cosh: 97.0ms (31.4% of total)
ival-mult: 55.0ms (17.8% of total)
ival-true: 7.0ms (2.3% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain72.0ms (0.7%)

Memory
-1.8MiB live, 113.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
180-0-(*.f64 (cosh.f64 x) (/.f64 y x))
130-0-(/.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*u180
(cosh.f64 x)overflow121
(/.f64 y x)underflow18
/.f64(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)o/n130
(cosh.f64 x)overflow121
(/.f64 y x)overflow39
(*.f64 (cosh.f64 x) (/.f64 y x))overflow160
Confusion
Predicted +Predicted -
+310
-0225
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3100
-00225
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0225
131
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms512×0valid
Compiler

Compiled 78 to 32 computations (59% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 7.0ms (35.7% of total)
ival-mult: 6.0ms (30.6% of total)
ival-cosh: 6.0ms (30.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess188.0ms (1.8%)

Memory
22.0MiB live, 223.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03187
110675
237375
3150475
078
0118
1228
2558
31608
48048
560738
087138
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 z)

(negabs y)

(negabs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune23.0ms (0.2%)

Memory
-38.3MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.0%
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify135.0ms (1.3%)

Memory
2.7MiB live, 121.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(cosh.f64 x)
cost-diff0
(*.f64 (cosh.f64 x) (/.f64 y x))
cost-diff0
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
01122
12222
25522
316022
480422
5607322
0871322
Stop Event
iter limit
node limit
iter limit
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
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)
(*.f64 (cosh.f64 x) (/.f64 y x))
(*.f64 (/.f64 (cosh.f64 x) x) y)
(cosh.f64 x)
x
(/.f64 y x)
y
z

localize39.0ms (0.4%)

Memory
23.2MiB live, 59.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y x)
accuracy0
(cosh.f64 x)
accuracy3.1638910933522864
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
accuracy3.5859375000000004
(*.f64 (cosh.f64 x) (/.f64 y x))
Samples
19.0ms256×0valid
Compiler

Compiled 46 to 16 computations (65.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (36.3% of total)
ival-cosh: 3.0ms (36.3% of total)
ival-mult: 2.0ms (24.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
8.3MiB live, 44.2MiB allocated
Counts
4 → 15
Calls
Call 1
Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (cosh.f64 x) (/.f64 y x))
(cosh.f64 x)
(/.f64 y x)
Outputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
Calls

9 calls:

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

simplify143.0ms (1.4%)

Memory
-40.6MiB live, 186.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070214
1255200
21037196
34655194
08287176
Stop Event
iter limit
node limit
Counts
15 → 15
Calls
Call 1
Inputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
Outputs
(/ y (* x z))
(/.f64 (/.f64 y x) z)
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/.f64 (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) z)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) z) x)
(/ y x)
(/.f64 y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y x))
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(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))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))

rewrite271.0ms (2.6%)

Memory
-1.9MiB live, 278.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
01119
13719
222219
3234019
0910519
Stop Event
iter limit
node limit
iter limit
Counts
4 → 757
Calls
Call 1
Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (cosh.f64 x) (/.f64 y x))
(cosh.f64 x)
(/.f64 y x)
Outputs
(*.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 z (cosh.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 x y) z) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) z) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 z) (*.f64 y (cosh.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 z (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 (neg.f64 z) (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 z (cosh.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 y x))
(*.f64 (pow.f64 (/.f64 (/.f64 z (cosh.f64 x)) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 x y) z) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y (cosh.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 z x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 z (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cosh.f64 x) x) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))
(*.f64 (pow.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) (/.f64 (cosh.f64 x) x))
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 y) x) z))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
(*.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) z) #s(literal 1/2 binary64))
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
(*.f64 (neg.f64 (cosh.f64 x)) (*.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (/.f64 (neg.f64 y) x) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cosh.f64 x) x) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (neg.f64 y) x) (cosh.f64 x)))
(*.f64 (/.f64 (neg.f64 y) x) (pow.f64 (/.f64 (neg.f64 z) (cosh.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 (cosh.f64 x)) z))
(*.f64 (/.f64 (neg.f64 y) x) (*.f64 (cosh.f64 x) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (/.f64 y x) z)))
(*.f64 (/.f64 (/.f64 y x) z) (cosh.f64 x))
(*.f64 (*.f64 y (cosh.f64 x)) (/.f64 (pow.f64 z #s(literal -1 binary64)) x))
(*.f64 (*.f64 y (cosh.f64 x)) (pow.f64 (*.f64 z x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (cosh.f64 x) x) y))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)))
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cosh.f64 x) z)))
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 (/.f64 y x) z) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 y x) (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) z)))
(*.f64 (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 y x) (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
(*.f64 y (*.f64 (pow.f64 (*.f64 z x) #s(literal -1 binary64)) (cosh.f64 x)))
(*.f64 y (*.f64 (/.f64 (cosh.f64 x) x) (pow.f64 z #s(literal -1 binary64))))
(*.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cosh.f64 x) z)))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
(pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x) (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) z))) (neg.f64 x))
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(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))))
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eval125.0ms (1.2%)

Memory
20.5MiB live, 172.9MiB allocated
Compiler

Compiled 13 298 to 2 295 computations (82.7% saved)

prune29.0ms (0.3%)

Memory
-27.3MiB live, 71.3MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New75913772
Fresh000
Picked101
Done000
Total76013773
Accuracy
100.0%
Counts
773 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.7%
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
95.0%
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
82.2%
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
76.6%
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
68.9%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
85.8%
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
81.6%
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))
86.3%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
85.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
49.2%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
93.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x))
85.6%
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
72.1%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
Compiler

Compiled 396 to 294 computations (25.8% saved)

simplify116.0ms (1.1%)

Memory
12.5MiB live, 121.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) z)
cost-diff0
(cosh.f64 x)
cost-diff0
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))
cost-diff0
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x)))
cost-diff0
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
cost-diff320
(fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y))
cost-diff320
(*.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
cost-diff0
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
cost-diff320
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
cost-diff0
(/.f64 y x)
cost-diff0
#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
cost-diff0
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
cost-diff0
(cosh.f64 x)
cost-diff0
(/.f64 (cosh.f64 x) x)
cost-diff0
(*.f64 (/.f64 (cosh.f64 x) x) y)
cost-diff0
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036312
063304
1135300
2471300
31977297
08623290
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
(*.f64 (/.f64 (cosh.f64 x) x) y)
(/.f64 (cosh.f64 x) x)
(cosh.f64 x)
x
y
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
(/.f64 y x)
y
x
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
y
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x))
y
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
#s(literal 1/24 binary64)
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(/.f64 y x)
z
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))
(cosh.f64 x)
x
(*.f64 (/.f64 x y) z)
(/.f64 x y)
y
z
Outputs
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) z)
(*.f64 (/.f64 (cosh.f64 x) x) y)
(*.f64 y (/.f64 (cosh.f64 x) x))
(/.f64 (cosh.f64 x) x)
(cosh.f64 x)
x
y
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
(/.f64 y x)
y
x
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x (/.f64 y x))) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x (/.f64 y x)))
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x (/.f64 y x))
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
y
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)))) z)
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x)))
#s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))
(*.f64 y (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)))
(*.f64 x #s(literal 1 binary64))
x
x
#s(literal 1 binary64)
(fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y)
(*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) y)
y
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
#s(literal 1/24 binary64)
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(/.f64 y x)
z
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) z)
(cosh.f64 x)
x
(*.f64 (/.f64 x y) z)
(/.f64 x y)
y
z

localize225.0ms (2.2%)

Memory
9.6MiB live, 208.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy0
(cosh.f64 x)
accuracy3.8298635927287368
(*.f64 (/.f64 x y) z)
accuracy6.538681152790962
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))
accuracy0.30700077461207986
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy2.4618449849544817
(*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x))
accuracy3.1638910933522864
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
accuracy6.295266738578099
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x)))
accuracy2.1260956445334815
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy3.1638910933522864
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
accuracy3.458429915711772
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
accuracy12.421404956952571
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
accuracy0
(/.f64 y x)
accuracy3.1638910933522864
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
accuracy29.874610436318683
#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
accuracy0
(cosh.f64 x)
accuracy0.00390625
(/.f64 (cosh.f64 x) x)
accuracy0.12109375
(*.f64 (/.f64 (cosh.f64 x) x) y)
accuracy3.1638910933522864
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
Samples
98.0ms256×0valid
Compiler

Compiled 555 to 72 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 39.0ms (49.5% of total)
ival-div: 19.0ms (24.1% of total)
ival-add: 11.0ms (14% of total)
const: 7.0ms (8.9% of total)
ival-cosh: 3.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series76.0ms (0.7%)

Memory
-9.6MiB live, 63.0MiB allocated
Counts
20 → 54
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
(*.f64 (/.f64 (cosh.f64 x) x) y)
(/.f64 (cosh.f64 x) x)
(cosh.f64 x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
(/.f64 y x)
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 x #s(literal 1 binary64))
(fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x)))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))
(*.f64 (/.f64 x y) z)
(/.f64 x y)
(*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
Outputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
y
(+ y (* 1/2 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
x
(* 1/2 y)
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))
(/ (* x z) y)
(/ x y)
(* 1/24 (* x y))
(* x (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/24 (* (pow x 3) y))
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(* 1/24 (* (pow x 4) y))
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(* 1/720 (* (pow x 4) y))
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* 1/720 (* (pow x 3) y))
(* (pow x 3) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))
(* -1 (* (pow x 3) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* x (* y (+ 1/24 (* 1/720 (pow x 2)))))
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) 1/2)))
Calls

9 calls:

TimeVariablePointExpression
40.0ms
x
@inf
((/ (* (/ (cosh x) x) y) z) (* (/ (cosh x) x) y) (/ (cosh x) x) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (* x 1) (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (cosh x) (* (/ x y) z)) (* (/ x y) z) (/ x y) (* y (* (+ (* 1/720 (* x x)) 1/24) x)) (+ (* 1/720 (* x x)) 1/24))
10.0ms
z
@inf
((/ (* (/ (cosh x) x) y) z) (* (/ (cosh x) x) y) (/ (cosh x) x) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (* x 1) (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (cosh x) (* (/ x y) z)) (* (/ x y) z) (/ x y) (* y (* (+ (* 1/720 (* x x)) 1/24) x)) (+ (* 1/720 (* x x)) 1/24))
5.0ms
y
@-inf
((/ (* (/ (cosh x) x) y) z) (* (/ (cosh x) x) y) (/ (cosh x) x) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (* x 1) (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (cosh x) (* (/ x y) z)) (* (/ x y) z) (/ x y) (* y (* (+ (* 1/720 (* x x)) 1/24) x)) (+ (* 1/720 (* x x)) 1/24))
5.0ms
x
@-inf
((/ (* (/ (cosh x) x) y) z) (* (/ (cosh x) x) y) (/ (cosh x) x) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (* x 1) (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (cosh x) (* (/ x y) z)) (* (/ x y) z) (/ x y) (* y (* (+ (* 1/720 (* x x)) 1/24) x)) (+ (* 1/720 (* x x)) 1/24))
5.0ms
y
@0
((/ (* (/ (cosh x) x) y) z) (* (/ (cosh x) x) y) (/ (cosh x) x) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (* x 1) (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (cosh x) (* (/ x y) z)) (* (/ x y) z) (/ x y) (* y (* (+ (* 1/720 (* x x)) 1/24) x)) (+ (* 1/720 (* x x)) 1/24))

simplify153.0ms (1.5%)

Memory
16.9MiB live, 143.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0141658
1514630
22091604
37411602
08406556
Stop Event
iter limit
node limit
Counts
54 → 52
Calls
Call 1
Inputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
y
(+ y (* 1/2 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
x
(* 1/2 y)
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))
(/ (* x z) y)
(/ x y)
(* 1/24 (* x y))
(* x (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/24 (* (pow x 3) y))
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(* 1/24 (* (pow x 4) y))
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(* 1/720 (* (pow x 4) y))
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* 1/720 (* (pow x 3) y))
(* (pow x 3) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))
(* -1 (* (pow x 3) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* x (* y (+ 1/24 (* 1/720 (pow x 2)))))
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) 1/2)))
Outputs
(/ y (* x z))
(/.f64 (/.f64 y z) x)
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y) z)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)
(/ y x)
(/.f64 y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y x))
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x)
(/.f64 (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)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(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))
y
(+ y (* 1/2 (* (pow x 2) y)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
x
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))
(*.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)) y)
(/ (* x z) y)
(/.f64 (*.f64 z x) y)
(/ x y)
(/.f64 x y)
(* 1/24 (* x y))
(*.f64 (*.f64 y x) #s(literal 1/24 binary64))
(* x (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) y)
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/24 (* (pow x 3) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/24 binary64))
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(*.f64 (*.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(*.f64 (fma.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* 1/24 (* (pow x 4) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) y)
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64))))
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(*.f64 (fma.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* 1/720 (* (pow x 4) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal 1/720 binary64))
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) y (*.f64 y (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* 1/720 (* (pow x 3) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/720 binary64))
(* (pow x 3) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* 1/720 (pow x 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))
(*.f64 (*.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))
(*.f64 (fma.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.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)) y)
(* x (* y (+ 1/24 (* 1/720 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) y)
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) 1/2)))
(*.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)) y)

rewrite246.0ms (2.4%)

Memory
-10.6MiB live, 154.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036229
063223
1251220
21848220
08348217
Stop Event
iter limit
node limit
iter limit
Counts
20 → 859
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
(*.f64 (/.f64 (cosh.f64 x) x) y)
(/.f64 (cosh.f64 x) x)
(cosh.f64 x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
(/.f64 y x)
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 x #s(literal 1 binary64))
(fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x)))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))
(*.f64 (/.f64 x y) z)
(/.f64 x y)
(*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
Outputs
(*.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 z x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 x y)) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(*.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 (cosh.f64 x)) z))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (cosh.f64 x) (neg.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (cosh.f64 x) (neg.f64 (/.f64 x y))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))))
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x))) x #s(literal 1/24 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/720 binary64) x)) x #s(literal 1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/720 binary64))) #s(literal 1/24 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/720 binary64) x)) #s(literal 1/24 binary64))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) x)) x))
(-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/720 binary64)))
(+.f64 (/.f64 #s(literal 1/13824 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) (/.f64 #s(literal 1/13824 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(+.f64 (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))

eval175.0ms (1.7%)

Memory
1.2MiB live, 187.4MiB allocated
Compiler

Compiled 23 882 to 3 297 computations (86.2% saved)

prune94.0ms (0.9%)

Memory
1.4MiB live, 93.0MiB allocated
Pruning

29 alts after pruning (28 fresh and 1 done)

PrunedKeptTotal
New83223855
Fresh358
Picked415
Done000
Total83929868
Accuracy
100.0%
Counts
868 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.7%
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
89.2%
(/.f64 (*.f64 (/.f64 #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))) x) y) z)
74.7%
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z)
49.1%
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
76.6%
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
68.9%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
85.8%
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
81.4%
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
86.3%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
86.7%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z)
86.3%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x y)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
78.7%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
79.5%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.f64 y x))) z)
86.3%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
82.8%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z)
85.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z)
59.9%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) (/.f64 x y) x) (*.f64 x (/.f64 x y)))) z)
82.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
49.2%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
49.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
71.4%
(/.f64 #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))) (*.f64 (/.f64 x y) z))
65.7%
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
49.8%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
86.5%
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
49.0%
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
87.0%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x))
75.9%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
51.8%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
72.1%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
Compiler

Compiled 1 208 to 843 computations (30.2% saved)

simplify198.0ms (1.9%)

Memory
-10.6MiB live, 216.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.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)) y) (*.f64 x x) y)
cost-diff0
(/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z)
cost-diff0
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x))
cost-diff320
(/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)
cost-diff0
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y)
cost-diff0
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x))
cost-diff0
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z)
cost-diff320
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
cost-diff0
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z)
cost-diff0
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
cost-diff320
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)
cost-diff0
(/.f64 y z)
cost-diff0
(/.f64 (/.f64 y z) x)
cost-diff0
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
cost-diff0
(cosh.f64 x)
cost-diff0
(*.f64 y (cosh.f64 x))
cost-diff0
(/.f64 (*.f64 y (cosh.f64 x)) z)
cost-diff0
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040349
070349
1134349
2400349
31847342
08481335
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
(/.f64 (*.f64 y (cosh.f64 x)) z)
(*.f64 y (cosh.f64 x))
y
(cosh.f64 x)
x
z
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
y
z
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x))
(/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)
(/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z)
(fma.f64 (*.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)) y) (*.f64 x x) y)
(*.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)) y)
(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))
(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)
#s(literal 1/2 binary64)
y
z
Outputs
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
(/.f64 (*.f64 y (cosh.f64 x)) z)
(/.f64 (*.f64 (cosh.f64 x) y) z)
(*.f64 y (cosh.f64 x))
(*.f64 (cosh.f64 x) y)
y
(cosh.f64 x)
x
z
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)) z))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)) z)
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z)
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y (/.f64 y x))) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x))
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y (/.f64 y x)))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y (/.f64 y x))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y)
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) y y)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
y
z
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) x) y (/.f64 y x)) z))
(/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)
(/.f64 (fma.f64 (*.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)) x) y (/.f64 y x)) z)
(/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z)
(fma.f64 (*.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)) y) (*.f64 x x) y)
(*.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)) y)
(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))
(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)
#s(literal 1/2 binary64)
y
z

localize247.0ms (2.4%)

Memory
34.2MiB live, 233.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy2.127816401386497
(*.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)) y)
accuracy2.365092308752997
(/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z)
accuracy4.357377805348831
(/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)
accuracy8.4618438208127
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x))
accuracy2.1260956445334815
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y)
accuracy3.1638910933522864
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z)
accuracy3.458429915711772
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)
accuracy12.421404956952571
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x))
accuracy1.4440801589895378
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z)
accuracy3.060932029908292
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
accuracy9.094573595377557
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)
accuracy21.538555546598857
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
accuracy0
(/.f64 y z)
accuracy5.379779983474819
(/.f64 (/.f64 y z) x)
accuracy29.378510862145895
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
accuracy0
(cosh.f64 x)
accuracy0.00390625
(/.f64 (*.f64 y (cosh.f64 x)) z)
accuracy0.00390625
(*.f64 y (cosh.f64 x))
accuracy3.393616034556251
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
Samples
199.0ms256×0valid
Compiler

Compiled 651 to 83 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-div: 101.0ms (56.4% of total)
ival-mult: 62.0ms (34.6% of total)
ival-add: 7.0ms (3.9% of total)
const: 6.0ms (3.3% of total)
ival-cosh: 3.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series106.0ms (1%)

Memory
-19.1MiB live, 66.9MiB allocated
Counts
20 → 77
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
(/.f64 (*.f64 y (cosh.f64 x)) z)
(*.f64 y (cosh.f64 x))
(cosh.f64 x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y)
(/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x))
(/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z)
(fma.f64 (*.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)) y) (*.f64 x x) y)
(*.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)) y)
Outputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/ y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
y
(+ y (* 1/2 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(* 1/2 y)
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* x y) z))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(* 1/2 (/ (* (pow x 2) y) z))
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(* 1/2 (* (pow x 2) y))
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2))))
(* 1/24 (* (pow x 3) y))
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/24 (* (pow x 4) y))
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(* 1/720 (/ (* (pow x 5) y) z))
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))
(* (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))))))
(* 1/720 (/ (* (pow x 6) y) z))
(* (pow x 6) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))
(* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))
(* (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))))))
(* 1/720 (* (pow x 6) y))
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* 1/720 (* (pow x 4) y))
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))
(* -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)))))))
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z)
(* y (+ 1 (* 1/2 (pow x 2))))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x))
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)))
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z)))
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) z))
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)))
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)
Calls

9 calls:

TimeVariablePointExpression
55.0ms
y
@-inf
((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ (/ y z) x) (/ y z) (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (* (+ (* (* x x) 1/2) 1) y) z) (* (+ (* (* x x) 1/2) 1) y) (/ (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) (/ (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y))
12.0ms
y
@0
((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ (/ y z) x) (/ y z) (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (* (+ (* (* x x) 1/2) 1) y) z) (* (+ (* (* x x) 1/2) 1) y) (/ (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) (/ (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y))
6.0ms
y
@inf
((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ (/ y z) x) (/ y z) (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (* (+ (* (* x x) 1/2) 1) y) z) (* (+ (* (* x x) 1/2) 1) y) (/ (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) (/ (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y))
5.0ms
z
@-inf
((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ (/ y z) x) (/ y z) (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (* (+ (* (* x x) 1/2) 1) y) z) (* (+ (* (* x x) 1/2) 1) y) (/ (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) (/ (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y))
5.0ms
x
@inf
((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ (/ y z) x) (/ y z) (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (* (+ (* (* x x) 1/2) 1) y) z) (* (+ (* (* x x) 1/2) 1) y) (/ (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) (/ (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y))

simplify264.0ms (2.5%)

Memory
-6.8MiB live, 182.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02051372
17591280
231781164
082531074
Stop Event
iter limit
node limit
Counts
77 → 76
Calls
Call 1
Inputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/ y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
y
(+ y (* 1/2 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(* 1/2 y)
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* x y) z))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(* 1/2 (/ (* (pow x 2) y) z))
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(* 1/2 (* (pow x 2) y))
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2))))
(* 1/24 (* (pow x 3) y))
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/24 (* (pow x 4) y))
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(* 1/720 (/ (* (pow x 5) y) z))
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))
(* (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))))))
(* 1/720 (/ (* (pow x 6) y) z))
(* (pow x 6) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))
(* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))
(* (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))))))
(* 1/720 (* (pow x 6) y))
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* 1/720 (* (pow x 4) y))
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))
(* -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)))))))
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z)
(* y (+ 1 (* 1/2 (pow x 2))))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x))
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)))
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z)))
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) z))
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)))
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)
Outputs
(/ y (* x z))
(/.f64 (/.f64 y z) x)
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(*.f64 (/.f64 (/.f64 (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)) x) z) y)
(/ y z)
(/.f64 y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z)
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
(*.f64 (/.f64 (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)) z) y)
y
(+ y (* 1/2 (* (pow x 2) y)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))
(*.f64 (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)) y)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(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))
(/ y x)
(/.f64 y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(*.f64 y (/.f64 (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)) x))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))
(*.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)) y)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (/ (* x y) z))
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)
(* 1/2 (/ (* (pow x 2) y) z))
(*.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) x) x) z)
(* 1/2 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) x) x)
(* 1/24 (* (pow x 3) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/24 binary64))
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(*.f64 (fma.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/24 (* (pow x 4) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) y)
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64))))
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(*.f64 (fma.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* 1/720 (/ (* (pow x 5) y) z))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) #s(literal 1/720 binary64))
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))
(*.f64 (*.f64 (/.f64 y z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 y z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 5 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))))))
(*.f64 (fma.f64 (/.f64 y z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) z)) (pow.f64 x #s(literal 5 binary64)))
(* 1/720 (/ (* (pow x 6) y) z))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) y) z) #s(literal 1/720 binary64))
(* (pow x 6) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (/.f64 y z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))))
(* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 y z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 6 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))))))
(*.f64 (fma.f64 (/.f64 y z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) z)) (pow.f64 x #s(literal 6 binary64)))
(* 1/720 (* (pow x 6) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) y) #s(literal 1/720 binary64))
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(*.f64 (fma.f64 y (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64)) (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/720 (* (pow x 4) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal 1/720 binary64))
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))
(*.f64 (fma.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))
(*.f64 (*.f64 (/.f64 y z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 y z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 5 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)))))))
(*.f64 (fma.f64 (/.f64 y z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) z)) (pow.f64 x #s(literal 5 binary64)))
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z)
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)
(* y (+ 1 (* 1/2 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))
(*.f64 (/.f64 (/.f64 (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)) x) z) y)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)
(*.f64 (/.f64 (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)) z) y)
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
(*.f64 (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)) y)
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.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)) y)
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z)))
(*.f64 (/.f64 (/.f64 (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)) x) z) y)
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) z))
(*.f64 (/.f64 (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)) z) y)
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)))
(*.f64 (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)) y)
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))
(*.f64 (/.f64 (/.f64 (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)) x) z) y)
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z)
(*.f64 (/.f64 (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)) z) y)

rewrite266.0ms (2.5%)

Memory
12.0MiB live, 380.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040271
070271
1277271
22077271
08776271
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 043
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
(/.f64 (*.f64 y (cosh.f64 x)) z)
(*.f64 y (cosh.f64 x))
(cosh.f64 x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y)
(/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x))
(/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z)
(fma.f64 (*.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)) y) (*.f64 x x) y)
(*.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)) y)
Outputs
(*.f64 (/.f64 (cosh.f64 x) (/.f64 x (neg.f64 y))) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 x #s(literal 1 binary64))) (/.f64 y z))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z)))
(*.f64 (/.f64 (neg.f64 (/.f64 y x)) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) z))
(*.f64 (/.f64 (neg.f64 (/.f64 (cosh.f64 x) x)) #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 y) (/.f64 x (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) z) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 (cosh.f64 x)) y) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) z))
(*.f64 (/.f64 (*.f64 (neg.f64 (cosh.f64 x)) y) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (/.f64 y z) #s(literal 2 binary64)))
(*.f64 (/.f64 y (/.f64 x (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 y z) x))
(*.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 (cosh.f64 x)) z))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) z) (/.f64 (cosh.f64 x) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) y) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) x))
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 y x)) z))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 (cosh.f64 x) z) x))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 (cosh.f64 x) x) z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 (cosh.f64 x) x)) z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 (cosh.f64 x) z)) x))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 z)) (/.f64 (neg.f64 y) x))
(*.f64 (pow.f64 (/.f64 x (*.f64 (neg.f64 (cosh.f64 x)) y)) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) x) (/.f64 y (pow.f64 (cosh.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (cosh.f64 x) (neg.f64 z)))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 x)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 y (neg.f64 x)) (/.f64 (neg.f64 (cosh.f64 x)) z))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 (cosh.f64 x) y) #s(literal -1 binary64))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 (cosh.f64 x) x) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (cosh.f64 x) x) y))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 y z) (pow.f64 (cosh.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) z))
(*.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) x)) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 (cosh.f64 x)) x))
(*.f64 (/.f64 y x) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(*.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (cosh.f64 x) y) (/.f64 (pow.f64 z #s(literal -1 binary64)) x))
(*.f64 (*.f64 (cosh.f64 x) y) (pow.f64 (*.f64 z x) #s(literal -1 binary64)))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
(*.f64 y (*.f64 (/.f64 (cosh.f64 x) z) (pow.f64 x #s(literal -1 binary64))))
(*.f64 y (pow.f64 (*.f64 (/.f64 x (cosh.f64 x)) z) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 z (*.f64 (/.f64 (cosh.f64 x) x) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 z (*.f64 (/.f64 (cosh.f64 x) x) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 (cosh.f64 x)) y) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y z))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (/.f64 (cosh.f64 x) x) #s(literal 1 binary64))) (neg.f64 (/.f64 z y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) x)))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 (cosh.f64 x)) y) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 z) x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (cosh.f64 x) y) #s(literal 1 binary64))) (neg.f64 (*.f64 z x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) (neg.f64 y))) (neg.f64 (*.f64 (neg.f64 x) (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) (/.f64 z y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 (*.f64 (/.f64 x (cosh.f64 x)) (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 (/.f64 x (cosh.f64 x)) z)))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 x (/.f64 y z))))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 z (*.f64 (cosh.f64 x) y))))
(/.f64 (*.f64 (*.f64 (neg.f64 (cosh.f64 x)) y) (pow.f64 x #s(literal -1 binary64))) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y z)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) #s(literal 1 binary64)) z)
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) #s(literal 1 binary64)) (/.f64 z y))
(/.f64 (neg.f64 (/.f64 (cosh.f64 x) x)) (neg.f64 (/.f64 z y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) y)) (neg.f64 (*.f64 (neg.f64 x) z)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) y)) (neg.f64 (*.f64 x (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) y)) (neg.f64 (neg.f64 (*.f64 z x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) y)) (neg.f64 (*.f64 (neg.f64 z) x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) x))) (neg.f64 (neg.f64 z)))
(/.f64 (*.f64 (*.f64 (neg.f64 (cosh.f64 x)) y) #s(literal 1 binary64)) (*.f64 (neg.f64 z) x))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) y) #s(literal 1 binary64)) (*.f64 z x))
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) (neg.f64 y)) (*.f64 (neg.f64 x) (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 z y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 x (cosh.f64 x)) (neg.f64 z)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x (cosh.f64 x)) z))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (/.f64 x (/.f64 y z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (*.f64 (/.f64 (cosh.f64 x) x) y)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 (/.f64 (cosh.f64 x) x) y))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (*.f64 (cosh.f64 x) y)))
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) y) (neg.f64 (*.f64 z x)))
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) y) (*.f64 (neg.f64 x) z))
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) y) (*.f64 x (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) y) (*.f64 (neg.f64 z) x))
(/.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z)) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z)) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 (/.f64 x (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (*.f64 (/.f64 (cosh.f64 x) x) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 (/.f64 (cosh.f64 x) x) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (cosh.f64 x) x) y)))
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(+.f64 (/.f64 (*.f64 (pow.f64 (*.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)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 x x) y) (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)) (neg.f64 y))) (/.f64 (neg.f64 (*.f64 y y)) (fma.f64 (*.f64 (*.f64 x x) y) (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)) (neg.f64 y))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) y) (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))) y)
(+.f64 y (*.f64 (*.f64 (*.f64 x x) y) (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 (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)) y)
(*.f64 y (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 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y) (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (-.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) y)) (neg.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 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) y)) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (neg.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 (neg.f64 (*.f64 y (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) y) (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 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) y) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))
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(/.f64 (*.f64 y (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y))
(fma.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y))
(+.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)))

eval149.0ms (1.4%)

Memory
5.6MiB live, 387.5MiB allocated
Compiler

Compiled 40 569 to 4 244 computations (89.5% saved)

prune117.0ms (1.1%)

Memory
10.7MiB live, 189.4MiB allocated
Pruning

43 alts after pruning (40 fresh and 3 done)

PrunedKeptTotal
New1 074301 104
Fresh131023
Picked325
Done011
Total1 090431 133
Accuracy
100.0%
Counts
1 133 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.7%
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
88.9%
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
85.1%
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
74.7%
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z)
49.1%
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
85.8%
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
75.9%
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)
86.7%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z)
86.3%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x y)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
86.3%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
82.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z)
82.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
49.2%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
76.6%
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z)
71.4%
(/.f64 #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))) (*.f64 (/.f64 x y) z))
65.7%
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
49.8%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
86.5%
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
72.1%
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
88.9%
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y))
83.7%
#s(approx (/ (* (/ (cosh x) x) y) z) (fma.f64 (/.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)) x) (/.f64 (*.f64 (*.f64 x x) y) z) (/.f64 (/.f64 y z) x)))
84.0%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (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 (*.f64 (*.f64 x x) y) z) (/.f64 y z)) x))
78.1%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x)))
52.7%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.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)) y) x) (/.f64 x z)) x (*.f64 x (/.f64 y z))) (*.f64 x x)))
49.9%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 (*.f64 z x) y) (*.f64 (*.f64 z x) #s(literal 1 binary64))) (*.f64 (*.f64 z x) (/.f64 (*.f64 z x) y))))
50.2%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 z x) (*.f64 (*.f64 z x) y)) (*.f64 (*.f64 z x) (*.f64 z x))))
80.8%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.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)) y) z) (/.f64 y z)) x))
78.1%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) (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 z x)))
65.9%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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))) z (*.f64 z y)) (*.f64 z z)) x))
82.4%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))
72.8%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x))
34.5%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
51.8%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
73.6%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
68.2%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
50.8%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
85.8%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 (*.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)) y) (*.f64 x x) y)) x)))
50.6%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
66.3%
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
69.3%
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
66.6%
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
50.6%
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)))
25.8%
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
Compiler

Compiled 2 112 to 1 372 computations (35% saved)

simplify132.0ms (1.3%)

Memory
-25.1MiB live, 208.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))
cost-diff0
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))
cost-diff0
(/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
cost-diff0
(fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y)
cost-diff0
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x))
cost-diff0
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
cost-diff320
(/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))
cost-diff0
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
cost-diff320
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)
cost-diff0
(*.f64 z x)
cost-diff0
(/.f64 y (*.f64 z x))
cost-diff0
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
cost-diff0
#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)))
cost-diff0
(*.f64 y #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))))
cost-diff0
(/.f64 (*.f64 y #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)))) z)
cost-diff384
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043462
076462
1154462
2473460
32062455
08300450
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
(/.f64 (*.f64 y #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)))) z)
(*.f64 y #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))))
y
#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)))
(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))
(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))
(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)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
z
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
(/.f64 y (*.f64 z x))
y
(*.f64 z x)
z
x
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 y z)
y
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x))
(/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)
(fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y)
(*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
y
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
z
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
#s(literal 1 binary64)
(/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))
z
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))
(fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))
(*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
y
(fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(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)
#s(literal 1/2 binary64)
(/.f64 y x)
Outputs
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 (*.f64 y #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)))) z)
(*.f64 (/.f64 y z) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(*.f64 y #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))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y)
y
#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 (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(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))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(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))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
z
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
(/.f64 y (*.f64 z x))
y
(*.f64 z x)
z
x
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) (/.f64 y x)) z))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)
(/.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) (/.f64 y x)) z)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) y)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 y z)
y
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y (/.f64 y x))) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x))
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y (/.f64 y x)))
(/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y (/.f64 y x))
(fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) (*.f64 x x) y)
(*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
y
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
z
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))) z)
#s(literal 1 binary64)
(/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))
(/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))))
z
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x)))
(fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))
(*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y)
y
(fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 y x)

localize355.0ms (3.4%)

Memory
5.8MiB live, 283.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.15977490279096104
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
accuracy0.18359375
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
accuracy1.0609321639669378
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))
accuracy3.326231764989009
(/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))
accuracy0.0078125
(*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
accuracy0.015625
(/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)
accuracy1.0911029602220432
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x))
accuracy3.1638910933522864
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
accuracy0
(*.f64 x x)
accuracy0.01171875
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))
accuracy1.124677429575187
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
accuracy3.401428534556251
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)
accuracy0
(*.f64 z x)
accuracy1.1566751546376426
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
accuracy2.1129610847647218
(/.f64 y (*.f64 z x))
accuracy0.0078125
(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))
accuracy0.0078125
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy1.0876395135381403
#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)))
accuracy3.393616034556251
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
Samples
191.0ms117×2exit
106.0ms138×0valid
2.0ms5exit
Compiler

Compiled 774 to 90 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 263.0ms
ival-mult: 135.0ms (51.4% of total)
ival-add: 49.0ms (18.7% of total)
ival-div: 33.0ms (12.6% of total)
adjust: 32.0ms (12.2% of total)
const: 10.0ms (3.8% of total)
ival-cosh: 3.0ms (1.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series57.0ms (0.5%)

Memory
27.9MiB live, 67.0MiB allocated
Counts
24 → 81
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
(/.f64 (*.f64 y #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)))) z)
(*.f64 y #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 (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 (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
(/.f64 y (*.f64 z x))
(*.f64 z x)
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x))
(fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y)
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
(/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))
(fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(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)
(*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
Outputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/ y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
y
(+ y (* 1/2 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* x z)
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(/ (* x z) y)
(* x (+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y)))
(* x (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y)))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(pow x 2)
(* 1/2 y)
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* x y) z))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(* 1/2 (/ (* (pow x 2) y) z))
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/24 (* (pow x 3) y))
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/24 (* (pow x 4) y))
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 1/720 (* (pow x 5) y))
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/24 (* (pow x 2) y))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))
(* y (+ (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (/ 1 x)))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x))
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)))
(* -1 (* y (- (* -1 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (/ 1 x))))
Calls

9 calls:

TimeVariablePointExpression
22.0ms
y
@inf
((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ y (* z x)) (* z x) (/ (* (+ (* 1/2 (* x x)) 1) (/ y z)) x) (/ (* (/ (cosh x) x) y) z) (* (+ (* 1/2 (* x x)) 1) (/ y z)) (+ (* 1/2 (* x x)) 1) (/ (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) (/ 1 (/ z (* (cosh x) (/ y x)))) (/ z (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2)) x) (/ y x)) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x) (* y (+ (* (* x x) 1/24) 1/2)) (* (+ (* 1/720 (* x x)) 1/24) x))
7.0ms
y
@-inf
((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ y (* z x)) (* z x) (/ (* (+ (* 1/2 (* x x)) 1) (/ y z)) x) (/ (* (/ (cosh x) x) y) z) (* (+ (* 1/2 (* x x)) 1) (/ y z)) (+ (* 1/2 (* x x)) 1) (/ (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) (/ 1 (/ z (* (cosh x) (/ y x)))) (/ z (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2)) x) (/ y x)) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x) (* y (+ (* (* x x) 1/24) 1/2)) (* (+ (* 1/720 (* x x)) 1/24) x))
6.0ms
x
@-inf
((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ y (* z x)) (* z x) (/ (* (+ (* 1/2 (* x x)) 1) (/ y z)) x) (/ (* (/ (cosh x) x) y) z) (* (+ (* 1/2 (* x x)) 1) (/ y z)) (+ (* 1/2 (* x x)) 1) (/ (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) (/ 1 (/ z (* (cosh x) (/ y x)))) (/ z (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2)) x) (/ y x)) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x) (* y (+ (* (* x x) 1/24) 1/2)) (* (+ (* 1/720 (* x x)) 1/24) x))
5.0ms
y
@0
((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ y (* z x)) (* z x) (/ (* (+ (* 1/2 (* x x)) 1) (/ y z)) x) (/ (* (/ (cosh x) x) y) z) (* (+ (* 1/2 (* x x)) 1) (/ y z)) (+ (* 1/2 (* x x)) 1) (/ (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) (/ 1 (/ z (* (cosh x) (/ y x)))) (/ z (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2)) x) (/ y x)) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x) (* y (+ (* (* x x) 1/24) 1/2)) (* (+ (* 1/720 (* x x)) 1/24) x))
5.0ms
x
@inf
((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ y (* z x)) (* z x) (/ (* (+ (* 1/2 (* x x)) 1) (/ y z)) x) (/ (* (/ (cosh x) x) y) z) (* (+ (* 1/2 (* x x)) 1) (/ y z)) (+ (* 1/2 (* x x)) 1) (/ (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) (/ 1 (/ z (* (cosh x) (/ y x)))) (/ z (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2)) x) (/ y x)) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x) (* y (+ (* (* x x) 1/24) 1/2)) (* (+ (* 1/720 (* x x)) 1/24) x))

simplify320.0ms (3.1%)

Memory
-8.0MiB live, 199.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02191081
18251042
23428997
08290925
Stop Event
iter limit
node limit
Counts
81 → 80
Calls
Call 1
Inputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/ y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
y
(+ y (* 1/2 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* x z)
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(/ (* x z) y)
(* x (+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y)))
(* x (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y)))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(pow x 2)
(* 1/2 y)
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* x y) z))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(* 1/2 (/ (* (pow x 2) y) z))
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/24 (* (pow x 3) y))
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/24 (* (pow x 4) y))
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* 1/720 (* (pow x 5) y))
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/24 (* (pow x 2) y))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))
(* y (+ (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (/ 1 x)))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x))
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)))
(* -1 (* y (- (* -1 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (/ 1 x))))
Outputs
(/ y (* x z))
(/.f64 (/.f64 y z) x)
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) z) (*.f64 x x) (/.f64 y z)) x)
(/ y z)
(/.f64 y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z)
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
(fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) z) (*.f64 x x) (/.f64 y z))
y
(+ y (* 1/2 (* (pow x 2) y)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (*.f64 x x) y)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(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))
(* x z)
(*.f64 z x)
(/ y x)
(/.f64 y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (*.f64 x x) y) x)
(/ (* x z) y)
(*.f64 (/.f64 z y) x)
(* x (+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) z z) y) x)
(* x (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y)))
(fma.f64 (/.f64 z y) x (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 z y) (fma.f64 #s(literal -5/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 z y) #s(literal 61/720 binary64)) x) (neg.f64 x) (*.f64 #s(literal 5/24 binary64) (/.f64 z y))) (*.f64 x x) (*.f64 (/.f64 z y) #s(literal -1/2 binary64))) (*.f64 (/.f64 z y) x))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(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))
(pow x 2)
(*.f64 x x)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (/ (* x y) z))
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)
(* 1/2 (/ (* (pow x 2) y) z))
(*.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(fma.f64 (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal 1 binary64) (/.f64 y z)))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/24 (* (pow x 3) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/24 binary64))
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/24 (* (pow x 4) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) y)
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))))
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (*.f64 (*.f64 (/.f64 z y) x) #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/720 (* (pow x 5) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) #s(literal 1/720 binary64))
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(* 1/720 (pow x 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (* (pow x 2) y))
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x))
(* 1/720 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/720 binary64))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z)
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
(* y (+ (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (/ 1 x)))
(*.f64 (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)) x (/.f64 #s(literal 1 binary64) x)) y)
(* y (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
(* -1 (* y (- (* -1 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (/ 1 x))))
(*.f64 (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)) x (/.f64 #s(literal 1 binary64) x)) y)

rewrite474.0ms (4.5%)

Memory
-19.3MiB live, 336.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043368
076366
1322366
22379366
08939366
Stop Event
iter limit
node limit
iter limit
Counts
24 → 898
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
(/.f64 (*.f64 y #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)))) z)
(*.f64 y #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 (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 (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
(/.f64 y (*.f64 z x))
(*.f64 z x)
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x))
(fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y)
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
(/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))
(fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(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)
(*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
Outputs
(*.f64 (/.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) x) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (neg.f64 z)) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (neg.f64 x)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) x) (/.f64 y (neg.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) z))
(*.f64 (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 y (*.f64 z x)))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) x))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) z) (/.f64 y (neg.f64 x)))
(*.f64 (/.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 z x) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) x))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (*.f64 z x)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) (*.f64 z x)))
(*.f64 (pow.f64 (/.f64 x (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) x) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (neg.f64 z)))
(*.f64 (/.f64 y (neg.f64 z)) (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) x))
(*.f64 (/.f64 y (neg.f64 x)) (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) z))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x) (/.f64 y z))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) (/.f64 y x))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) #s(literal -1 binary64))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y z)))
(*.f64 (/.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) z) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 y x) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z))
(*.f64 (/.f64 y z) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x))
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y z)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (pow.f64 (*.f64 z x) #s(literal -1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) x))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 y (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) (pow.f64 x #s(literal -1 binary64))))
(pow.f64 (*.f64 (/.f64 x #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) (/.f64 z y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (/.f64 (/.f64 z y) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 z y) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x (/.f64 (/.f64 z y) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) x)) (neg.f64 z))
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(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
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(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) (*.f64 #s(literal 1/24 binary64) x))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 #s(literal 1/24 binary64) x))
(+.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x))
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eval486.0ms (4.6%)

Memory
26.6MiB live, 338.9MiB allocated
Compiler

Compiled 41 880 to 5 387 computations (87.1% saved)

prune169.0ms (1.6%)

Memory
-5.2MiB live, 160.4MiB allocated
Pruning

48 alts after pruning (42 fresh and 6 done)

PrunedKeptTotal
New1 142131 155
Fresh62935
Picked235
Done033
Total1 150481 198
Accuracy
100.0%
Counts
1 198 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.7%
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
88.9%
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
88.8%
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
85.1%
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
74.7%
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z)
49.1%
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
85.8%
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
75.9%
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)
86.7%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))) z)
86.3%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x y)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
86.3%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
82.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
82.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
82.0%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z)
49.2%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
76.6%
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z)
71.4%
(/.f64 #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))) (*.f64 (/.f64 x y) z))
49.8%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
86.5%
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
50.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
89.2%
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (neg.f64 x)))
72.6%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))
78.3%
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 z x)))
72.1%
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
88.9%
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y))
83.7%
#s(approx (/ (* (/ (cosh x) x) y) z) (fma.f64 (/.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)) x) (/.f64 (*.f64 (*.f64 x x) y) z) (/.f64 (/.f64 y z) x)))
84.0%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (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 (*.f64 (*.f64 x x) y) z) (/.f64 y z)) x))
78.1%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x)))
52.7%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.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)) y) x) (/.f64 x z)) x (*.f64 x (/.f64 y z))) (*.f64 x x)))
49.9%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 (*.f64 z x) y) (*.f64 (*.f64 z x) #s(literal 1 binary64))) (*.f64 (*.f64 z x) (/.f64 (*.f64 z x) y))))
50.2%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 z x) (*.f64 (*.f64 z x) y)) (*.f64 (*.f64 z x) (*.f64 z x))))
80.8%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.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)) y) z) (/.f64 y z)) x))
65.9%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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))) z (*.f64 z y)) (*.f64 z z)) x))
82.4%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))
72.8%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x))
34.5%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
51.8%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
68.2%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
33.2%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
50.8%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
85.8%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 (*.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)) y) (*.f64 x x) y)) x)))
76.2%
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z)))
66.3%
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
63.6%
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
69.3%
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
66.6%
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
50.6%
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)))
25.8%
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
Compiler

Compiled 3 127 to 1 177 computations (62.4% saved)

regimes295.0ms (2.8%)

Memory
-15.7MiB live, 221.1MiB allocated
Counts
80 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))
(/.f64 #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))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.f64 y x))) z)
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x)))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) (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 z x)))
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #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))) x) y) z)
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 (*.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)) y) (*.f64 x x) y)) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x y)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (neg.f64 x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.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)) y) z) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (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 (*.f64 (*.f64 x x) y) z) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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))) z (*.f64 z y)) (*.f64 z z)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) (/.f64 x y) x) (*.f64 x (/.f64 x y)))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (fma.f64 (/.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)) x) (/.f64 (*.f64 (*.f64 x x) y) z) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 z x) (*.f64 (*.f64 z x) y)) (*.f64 (*.f64 z x) (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.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)) y) x) (/.f64 x z)) x (*.f64 x (/.f64 y z))) (*.f64 x x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 (*.f64 z x) y) (*.f64 (*.f64 z x) #s(literal 1 binary64))) (*.f64 (*.f64 z x) (/.f64 (*.f64 z x) y))))
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x))
Outputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
Calls

5 calls:

94.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
69.0ms
y
56.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
51.0ms
z
22.0ms
x
Results
AccuracySegmentsBranch
96.9%2x
99.8%2y
97.2%2z
99.9%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
99.9%2(*.f64 (cosh.f64 x) (/.f64 y x))
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes75.0ms (0.7%)

Memory
9.8MiB live, 135.9MiB allocated
Counts
78 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))
(/.f64 #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))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.f64 y x))) z)
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x)))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) (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 z x)))
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #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))) x) y) z)
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 (*.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)) y) (*.f64 x x) y)) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x y)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (neg.f64 x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.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)) y) z) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (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 (*.f64 (*.f64 x x) y) z) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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))) z (*.f64 z y)) (*.f64 z z)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) (/.f64 x y) x) (*.f64 x (/.f64 x y)))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (fma.f64 (/.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)) x) (/.f64 (*.f64 (*.f64 x x) y) z) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 z x) (*.f64 (*.f64 z x) y)) (*.f64 (*.f64 z x) (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.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)) y) x) (/.f64 x z)) x (*.f64 x (/.f64 y z))) (*.f64 x x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 (*.f64 z x) y) (*.f64 (*.f64 z x) #s(literal 1 binary64))) (*.f64 (*.f64 z x) (/.f64 (*.f64 z x) y))))
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
Outputs
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
Calls

3 calls:

28.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
24.0ms
y
20.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
98.7%2y
95.0%1(*.f64 (cosh.f64 x) (/.f64 y x))
95.0%1(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes175.0ms (1.7%)

Memory
7.5MiB live, 205.1MiB allocated
Counts
77 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))
(/.f64 #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))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.f64 y x))) z)
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x)))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) (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 z x)))
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #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))) x) y) z)
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 (*.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)) y) (*.f64 x x) y)) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x y)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (neg.f64 x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.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)) y) z) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (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 (*.f64 (*.f64 x x) y) z) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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))) z (*.f64 z y)) (*.f64 z z)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) (/.f64 x y) x) (*.f64 x (/.f64 x y)))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (fma.f64 (/.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)) x) (/.f64 (*.f64 (*.f64 x x) y) z) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 z x) (*.f64 (*.f64 z x) y)) (*.f64 (*.f64 z x) (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.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)) y) x) (/.f64 x z)) x (*.f64 x (/.f64 y z))) (*.f64 x x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 (*.f64 z x) y) (*.f64 (*.f64 z x) #s(literal 1 binary64))) (*.f64 (*.f64 z x) (/.f64 (*.f64 z x) y))))
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Outputs
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
Calls

5 calls:

53.0ms
z
37.0ms
x
30.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
29.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
23.0ms
y
Results
AccuracySegmentsBranch
95.1%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
95.1%2(*.f64 (cosh.f64 x) (/.f64 y x))
96.3%2x
95.6%3z
95.1%2y
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes43.0ms (0.4%)

Memory
-27.6MiB live, 50.3MiB allocated
Counts
72 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))
(/.f64 #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))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.f64 y x))) z)
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x)))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) (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 z x)))
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #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))) x) y) z)
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 (*.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)) y) (*.f64 x x) y)) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x y)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (neg.f64 x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.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)) y) z) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (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 (*.f64 (*.f64 x x) y) z) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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))) z (*.f64 z y)) (*.f64 z z)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) (/.f64 x y) x) (*.f64 x (/.f64 x y)))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (fma.f64 (/.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)) x) (/.f64 (*.f64 (*.f64 x x) y) z) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 z x) (*.f64 (*.f64 z x) y)) (*.f64 (*.f64 z x) (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.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)) y) x) (/.f64 x z)) x (*.f64 x (/.f64 y z))) (*.f64 x x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 (*.f64 z x) y) (*.f64 (*.f64 z x) #s(literal 1 binary64))) (*.f64 (*.f64 z x) (/.f64 (*.f64 z x) y))))
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
Outputs
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
Calls

1 calls:

23.0ms
x
Results
AccuracySegmentsBranch
96.1%2x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes136.0ms (1.3%)

Memory
-1.0MiB live, 159.7MiB allocated
Counts
71 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))
(/.f64 #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))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.f64 y x))) z)
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x)))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) (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 z x)))
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #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))) x) y) z)
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 (*.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)) y) (*.f64 x x) y)) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x y)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (neg.f64 x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.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)) y) z) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (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 (*.f64 (*.f64 x x) y) z) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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))) z (*.f64 z y)) (*.f64 z z)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) (/.f64 x y) x) (*.f64 x (/.f64 x y)))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (fma.f64 (/.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)) x) (/.f64 (*.f64 (*.f64 x x) y) z) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 z x) (*.f64 (*.f64 z x) y)) (*.f64 (*.f64 z x) (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.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)) y) x) (/.f64 x z)) x (*.f64 x (/.f64 y z))) (*.f64 x x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 (*.f64 z x) y) (*.f64 (*.f64 z x) #s(literal 1 binary64))) (*.f64 (*.f64 z x) (/.f64 (*.f64 z x) y))))
Outputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
Calls

4 calls:

47.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
32.0ms
y
31.0ms
x
16.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
94.1%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
94.1%2(*.f64 (cosh.f64 x) (/.f64 y x))
94.0%2y
92.8%3x
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes16.0ms (0.1%)

Memory
36.2MiB live, 36.2MiB allocated
Counts
55 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))
(/.f64 #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))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.f64 y x))) z)
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x)))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) (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 z x)))
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #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))) x) y) z)
Outputs
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y))
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
Calls

1 calls:

13.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
94.1%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes72.0ms (0.7%)

Memory
-20.3MiB live, 58.3MiB allocated
Counts
51 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))
(/.f64 #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))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.f64 y x))) z)
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x)))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) (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 z x)))
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x))
Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z)
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
Calls

2 calls:

31.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
13.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
94.1%2(*.f64 (cosh.f64 x) (/.f64 y x))
94.1%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes147.0ms (1.4%)

Memory
-18.8MiB live, 143.6MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))
(/.f64 #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))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.f64 y x))) z)
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x)))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) (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 z x)))
Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z)
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
Calls

5 calls:

36.0ms
z
31.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
31.0ms
y
13.0ms
x
12.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
90.1%3x
86.7%1z
90.7%2y
90.3%2(*.f64 (cosh.f64 x) (/.f64 y x))
90.3%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes63.0ms (0.6%)

Memory
1.8MiB live, 83.0MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))
(/.f64 #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))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.f64 y x))) z)
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x)))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z)
Outputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x)))
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
Calls

3 calls:

26.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
13.0ms
y
12.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
90.2%2(*.f64 (cosh.f64 x) (/.f64 y x))
90.3%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
90.2%2y
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes12.0ms (0.1%)

Memory
30.8MiB live, 30.8MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))
(/.f64 #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))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.f64 y x))) z)
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)
Outputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
(/.f64 (/.f64 (*.f64 y #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)))) z) x)
Calls

1 calls:

10.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
90.2%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes64.0ms (0.6%)

Memory
-8.7MiB live, 70.0MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))
(/.f64 #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))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.f64 y x))) z)
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))
Calls

3 calls:

34.0ms
y
17.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
10.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
90.2%2y
87.6%2(*.f64 (cosh.f64 x) (/.f64 y x))
87.6%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes89.0ms (0.9%)

Memory
5.5MiB live, 86.6MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))
(/.f64 #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))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z)
Outputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))
Calls

4 calls:

38.0ms
z
32.0ms
y
9.0ms
x
8.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
87.6%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
84.2%2z
84.7%2x
87.5%2y
Compiler

Compiled 11 to 16 computations (-45.5% saved)

regimes131.0ms (1.3%)

Memory
-19.8MiB live, 100.5MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z)
Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
Calls

5 calls:

43.0ms
z
37.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
34.0ms
y
8.0ms
x
8.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
82.0%1z
83.7%2x
84.2%2y
82.0%1(*.f64 (cosh.f64 x) (/.f64 y x))
82.0%1(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes82.0ms (0.8%)

Memory
12.8MiB live, 91.5MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x))
Outputs
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)
Calls

5 calls:

39.0ms
x
17.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
8.0ms
z
8.0ms
y
7.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
78.4%2z
81.1%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
81.1%2(*.f64 (cosh.f64 x) (/.f64 y x))
78.7%2x
81.0%2y
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes35.0ms (0.3%)

Memory
-6.3MiB live, 33.3MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)
Outputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))
Calls

2 calls:

27.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
6.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
81.1%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
81.0%2(*.f64 (cosh.f64 x) (/.f64 y x))
Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes30.0ms (0.3%)

Memory
-3.7MiB live, 38.4MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
Outputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))
Calls

3 calls:

18.0ms
y
5.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
5.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
75.8%2y
78.7%2(*.f64 (cosh.f64 x) (/.f64 y x))
78.8%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes32.0ms (0.3%)

Memory
16.5MiB live, 56.0MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
Outputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))
Calls

4 calls:

14.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
6.0ms
x
6.0ms
z
5.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
73.9%2z
77.9%2x
77.3%2(*.f64 (cosh.f64 x) (/.f64 y x))
77.3%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes15.0ms (0.1%)

Memory
3.3MiB live, 42.8MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
Outputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))
Calls

3 calls:

6.0ms
x
4.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
4.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
71.3%2(*.f64 (cosh.f64 x) (/.f64 y x))
71.3%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
76.4%2x
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes20.0ms (0.2%)

Memory
-22.8MiB live, 57.9MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z)
Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))
Calls

4 calls:

6.0ms
x
5.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
4.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
71.3%2(*.f64 (cosh.f64 x) (/.f64 y x))
68.2%1z
68.2%1y
68.2%1x
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes7.0ms (0.1%)

Memory
26.8MiB live, 26.8MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))
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
69.8%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
69.8%2(*.f64 (cosh.f64 x) (/.f64 y x))
Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes17.0ms (0.2%)

Memory
-26.3MiB live, 52.9MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z)
Outputs
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))
Calls

5 calls:

4.0ms
x
3.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
3.0ms
z
3.0ms
y
3.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
63.0%2x
56.9%2y
56.9%2z
56.9%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
57.5%2(*.f64 (cosh.f64 x) (/.f64 y x))
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes7.0ms (0.1%)

Memory
25.2MiB live, 25.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
z
1.0ms
x
1.0ms
y
1.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
1.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
50.8%1y
50.8%1z
50.8%1(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
50.8%1(*.f64 (cosh.f64 x) (/.f64 y x))
50.8%1x
Compiler

Compiled 17 to 22 computations (-29.4% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.043959468185228e-64
2.7872741888302113e-57
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch6.0ms (0.1%)

Memory
-21.7MiB live, 17.5MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
6.0ms
2.1241067781403667e+130
4.504350723113639e+130
Samples
4.0ms48×0valid
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 (66.6% of total)
ival-cosh: 1.0ms (66.6% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
-5.5MiB live, 35.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
7.316390538055508e+48
1.0242386133512395e+51
Samples
7.0ms112×0valid
Compiler

Compiled 291 to 223 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 3.0ms (62.8% of total)
ival-mult: 1.0ms (20.9% of total)
ival-cosh: 1.0ms (20.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
7.316390538055508e+48
1.0242386133512395e+51
Compiler

Compiled 291 to 223 computations (23.4% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.043959468185228e-64
2.7872741888302113e-57
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.631824140258954e-40
6.4223584567502665e-40
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1635381970044052e+128
1.2609075863372715e+139
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch13.0ms (0.1%)

Memory
-5.7MiB live, 33.1MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
12.0ms
5.946136247734825e+120
2.1840955363096132e+125
Samples
6.0ms112×0valid
Compiler

Compiled 340 to 251 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (29.2% of total)
ival-mult: 1.0ms (29.2% of total)
ival-cosh: 1.0ms (29.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.631824140258954e-40
6.4223584567502665e-40
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.043959468185228e-64
2.7872741888302113e-57
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch15.0ms (0.1%)

Memory
-3.9MiB live, 34.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
1.2872572875199e-59
2.0730847824334595e-55
Samples
8.0ms128×0valid
Compiler

Compiled 539 to 365 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cosh: 3.0ms (55.8% of total)
ival-div: 2.0ms (37.2% of total)
ival-mult: 1.0ms (18.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.043959468185228e-64
2.7872741888302113e-57
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch13.0ms (0.1%)

Memory
-5.2MiB live, 33.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
5.655390798077855e+157
1.2893471250321846e+159
Samples
7.0ms112×0valid
Compiler

Compiled 389 to 279 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (29.1% of total)
ival-mult: 1.0ms (29.1% of total)
ival-cosh: 1.0ms (29.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.335442381854132e+213
1.7588450685408475e+220
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.043959468185228e-64
2.7872741888302113e-57
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.043959468185228e-64
2.7872741888302113e-57
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch4.0ms (0%)

Memory
10.4MiB live, 10.4MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
3.0ms
1175562391589361700.0
3051972538008706600.0
Samples
2.0ms32×0valid
Compiler

Compiled 113 to 89 computations (21.2% saved)

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

bsearch16.0ms (0.2%)

Memory
0.5MiB live, 41.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
3.416452911416637e+128
9.40646395326992e+131
Samples
10.0ms128×0valid
Compiler

Compiled 403 to 309 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (59.2% of total)
ival-div: 2.0ms (29.6% of total)
ival-cosh: 1.0ms (14.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.029306064467451e+125
6.300209164664909e+127
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.4183866766828436e+193
8.366280502018884e+195
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch14.0ms (0.1%)

Memory
-1.6MiB live, 37.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
0.7323028027256718
179.26378934232378
Samples
8.0ms112×0valid
Compiler

Compiled 319 to 244 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-cosh: 2.0ms (45.7% of total)
ival-div: 1.0ms (22.8% of total)
ival-mult: 1.0ms (22.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify41.0ms (0.4%)

Memory
-13.5MiB live, 107.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921077
12241077
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x))
(if (<=.f64 y #s(literal 29999999999999999330866960106893504787807864498038409308725374090875607870485055043574070304624140996945405046425743073683403964416 binary64)) (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))))
(if (<=.f64 x #s(literal 999999999999999993220948674361627976461708441944064 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x))
(if (<=.f64 x #s(literal 999999999999999993220948674361627976461708441944064 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) (/.f64 (/.f64 (*.f64 y #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)))) z) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y)) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 200000000000000015034897383303641725494285812870481642696581820471553185048483040932908220219551607085653191007770505265335500800 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x))
(if (<=.f64 y #s(literal 50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) (/.f64 (/.f64 (*.f64 y #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)))) z) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x))) (/.f64 (/.f64 (*.f64 y #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)))) z) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) (/.f64 (/.f64 (*.f64 y #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)))) z) x))
(if (<=.f64 y #s(literal 6183964726724345/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)))
(if (<=.f64 y #s(literal 549999999999999980177510132417582870903136094739997398400200380016344516337422765647780521901145536067603062884104884486954273060120222453730332581111965679616 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 4999999999999999772223133475743019061733712700409539130496607211544840259226135691611880105565210303017104153796972357853870064153456670293082673807209411155434429495479368482882719667688996710696271289138913738752 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) (/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)))
(if (<=.f64 x #s(literal 1500000000000000000 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)))
(if (<=.f64 x #s(literal 329999999999999982789035012077208749596126484442519051126044297383270019588262254417884330476562898112832891789454263608860446031872 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 20000000000000001324550266392146045781629557813563384351149437228123741413841093429340757108942167912279254610380912407648661736207011485795081833995022024081041617624336082668303754650732986368 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))))
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))
Outputs
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x))
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x))
(if (<=.f64 y #s(literal 29999999999999999330866960106893504787807864498038409308725374090875607870485055043574070304624140996945405046425743073683403964416 binary64)) (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))))
(if (<=.f64 y #s(literal 29999999999999999330866960106893504787807864498038409308725374090875607870485055043574070304624140996945405046425743073683403964416 binary64)) (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (/.f64 (cosh.f64 x) (*.f64 (/.f64 z y) x)))
(if (<=.f64 x #s(literal 999999999999999993220948674361627976461708441944064 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x))
(if (<=.f64 x #s(literal 999999999999999993220948674361627976461708441944064 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) z) x))
(if (<=.f64 x #s(literal 999999999999999993220948674361627976461708441944064 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x))
(if (<=.f64 x #s(literal 999999999999999993220948674361627976461708441944064 binary64)) (*.f64 (/.f64 (cosh.f64 x) (*.f64 z x)) y) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) z) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) (/.f64 (/.f64 (*.f64 y #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)))) z) x))
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) (/.f64 (/.f64 (*.f64 #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))) y) z) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y)) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x))
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y)) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) z) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 200000000000000015034897383303641725494285812870481642696581820471553185048483040932908220219551607085653191007770505265335500800 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x))
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 200000000000000015034897383303641725494285812870481642696581820471553185048483040932908220219551607085653191007770505265335500800 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))) z) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) z) x))
(if (<=.f64 y #s(literal 50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) (/.f64 (/.f64 (*.f64 y #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)))) z) x))
(if (<=.f64 y #s(literal 50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))) z) (/.f64 (/.f64 (*.f64 #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))) y) z) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x))) (/.f64 (/.f64 (*.f64 y #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)))) z) x))
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x))) (/.f64 (/.f64 (*.f64 #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))) y) z) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) (/.f64 (/.f64 (*.f64 y #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)))) z) x))
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) (/.f64 (/.f64 (*.f64 #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))) y) z) x))
(if (<=.f64 y #s(literal 6183964726724345/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)))
(if (<=.f64 y #s(literal 6183964726724345/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (*.f64 x x) y) z) x)))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)))
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (*.f64 x x) y) z) x)))
(if (<=.f64 y #s(literal 549999999999999980177510132417582870903136094739997398400200380016344516337422765647780521901145536067603062884104884486954273060120222453730332581111965679616 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)))
(if (<=.f64 y #s(literal 549999999999999980177510132417582870903136094739997398400200380016344516337422765647780521901145536067603062884104884486954273060120222453730332581111965679616 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/24 binary64))) (*.f64 x x) y) x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 4999999999999999772223133475743019061733712700409539130496607211544840259226135691611880105565210303017104153796972357853870064153456670293082673807209411155434429495479368482882719667688996710696271289138913738752 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) (/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x))
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#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x)))

soundness2.1s (19.9%)

Memory
8.6MiB live, 2 041.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0141658
1514630
22091604
37411602
08406556
070214
1255200
21037196
34655194
08287176
040271
070271
1277271
22077271
08776271
0719
01119
13719
222219
3234019
0910519
02191081
18251042
23428997
08290925
036229
063223
1251220
21848220
08348217
02051372
17591280
231781164
082531074
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 2 259 to 1 060 computations (53.1% saved)

preprocess290.0ms (2.8%)

Memory
18.1MiB live, 735.3MiB allocated
Compiler

Compiled 2 432 to 558 computations (77.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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