Linear.Quaternion:$ctan from linear-1.19.1.3

Time bar (total: 10.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze68.0ms (0.6%)

Memory
-3.9MiB live, 109.8MiB allocated
Algorithm
1×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)

sample1.0s (9.5%)

Memory
14.7MiB live, 1 033.9MiB allocated
Samples
747.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 566.0ms
ival-div: 365.0ms (64.5% of total)
ival-mult: 97.0ms (17.1% of total)
ival-cosh: 94.0ms (16.6% of total)
ival-true: 7.0ms (1.2% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain103.0ms (1%)

Memory
-40.2MiB live, 115.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
250-0-(*.f64 (cosh.f64 x) (/.f64 y x))
110-0-(/.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*u250
↳(cosh.f64 x)overflow137
↳(/.f64 y x)underflow25
/.f64(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)o/n110
↳(cosh.f64 x)overflow137
↳(/.f64 y x)overflow33
↳(*.f64 (cosh.f64 x) (/.f64 y x))overflow170
Confusion
Predicted +Predicted -
+360
-0220
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3600
-00220
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0220
136
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
40.0ms512×0valid
Compiler

Compiled 56 to 25 computations (55.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (42.8% of total)
ival-cosh: 5.0ms (30.6% of total)
ival-mult: 3.0ms (18.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess131.0ms (1.2%)

Memory
5.3MiB live, 119.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03187
110675
233675
3123375
4426375
5753775
078
0118
1228
2458
3948
41918
52998
64878
710618
822068
925988
1027998
1128108
1228108
1328478
1428528
1528548
1628598
1728598
028598
Stop Event
1×iter limit
1×saturated
1×iter limit
1×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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶86.1%
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify87.0ms (0.8%)

Memory
-6.4MiB live, 74.5MiB allocated
Algorithm
1×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
24522
39422
419122
529922
648722
7106122
8220622
9259822
10279922
11281022
12281022
13284722
14285222
15285422
16285922
17285922
0285922
Stop Event
1×iter limit
1×saturated
1×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

localize19.0ms (0.2%)

Memory
27.6MiB live, 27.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 y x)
accuracy0.0
(cosh.f64 x)
accuracy2.615071554907858
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
accuracy4.988281250000001
(*.f64 (cosh.f64 x) (/.f64 y x))
Samples
15.0ms256×0valid
Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (39.5% of total)
ival-cosh: 3.0ms (39.5% of total)
ival-mult: 1.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series42.0ms (0.4%)

Memory
-6.1MiB live, 31.0MiB 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
26.0ms
x
@inf
((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x))
4.0ms
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))
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))

simplify218.0ms (2.1%)

Memory
3.2MiB live, 124.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070214
1201210
2600198
31414192
42105192
52771190
63308190
74809186
85455186
95925186
106457186
117745186
08026168
Stop Event
1×iter limit
1×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 y (*.f64 z x))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #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)) z) x) y)
(/ (+ (* (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 (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 x))
(/ y x)
(/.f64 y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)
(/ (+ 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 (/.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) 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))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) z) x) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.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))

rewrite250.0ms (2.4%)

Memory
-20.3MiB live, 99.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
01119
13619
220819
3216119
0868719
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 574
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 (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 (*.f64 z (/.f64 x (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))))) #s(literal -1 binary64)) #s(literal 1/2 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 (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 (neg.f64 (/.f64 z (cosh.f64 x))) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) z) #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 (/.f64 (*.f64 y (cosh.f64 x)) (neg.f64 z)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (cosh.f64 x)) z) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) z) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (cosh.f64 x) z)) (/.f64 (neg.f64 y) x))
(*.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 (/.f64 y x) z)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 (/.f64 y x) z) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (neg.f64 y) (cosh.f64 x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (cosh.f64 x))) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x)))) (pow.f64 (*.f64 #s(literal 2 binary64) 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 z y) (/.f64 x (cosh.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 z y) (/.f64 x (cosh.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(*.f64 (neg.f64 (/.f64 (*.f64 y (cosh.f64 x)) z)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) z)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 z))))
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 z))))
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal -2 binary64))))
(*.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) x) #s(literal -2 binary64))))
(*.f64 (*.f64 (/.f64 y x) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -2 binary64))))
(*.f64 (*.f64 y (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) #s(literal -2 binary64))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 z))))
(*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 z))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 z))))
(*.f64 (*.f64 (*.f64 y (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) z))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 z) x))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) z)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 z x))))
(*.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 (neg.f64 (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (neg.f64 z))))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 x) y) z)))
(*.f64 (neg.f64 (cosh.f64 x)) (pow.f64 (*.f64 z (/.f64 (neg.f64 x) y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (/.f64 (neg.f64 y) x) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (neg.f64 y) x) (cosh.f64 x)))
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(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) (neg.f64 y))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x))))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 y) (cosh.f64 x))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (cosh.f64 x)))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 (/.f64 (cosh.f64 x) x))))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (cosh.f64 x) x) y))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (cosh.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (cosh.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)))
(-.f64 (*.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 x)) (*.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (cosh.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 x y))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))) (/.f64 (neg.f64 y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) y)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) x) (*.f64 (neg.f64 x) (/.f64 x y)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 y x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 y x))
(+.f64 #s(literal 0 binary64) (/.f64 y x))

eval87.0ms (0.8%)

Memory
34.9MiB live, 108.0MiB allocated
Compiler

Compiled 8 368 to 1 572 computations (81.2% saved)

prune65.0ms (0.6%)

Memory
-38.8MiB live, 45.8MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New57514589
Fresh000
Picked101
Done000
Total57614590
Accuracy
100.0%
Counts
590 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶80.1%
(/.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)
69.7%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
83.5%
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
44.8%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
▶66.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
89.8%
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z)
▶87.1%
(/.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)) x) y)) z)
▶97.3%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z)))
96.9%
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
82.8%
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
▶46.4%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
63.2%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
79.0%
#s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x)))
87.8%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
Compiler

Compiled 496 to 352 computations (29% saved)

simplify159.0ms (1.5%)

Memory
4.9MiB live, 118.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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
#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 #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))
cost-diff0
(/.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)
cost-diff0
(/.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)
cost-diff0
(*.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)
cost-diff0
#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)) x) y))
cost-diff0
(/.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)) x) y)) z)
cost-diff0
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)
cost-diff0
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y))
cost-diff0
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
cost-diff0
(*.f64 z x)
cost-diff0
(/.f64 y (*.f64 z x))
cost-diff0
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
cost-diff0
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z)
cost-diff0
(neg.f64 x)
cost-diff2
(/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040336
071336
1132335
2274330
3923330
43780330
57785330
08495330
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z)))
#s(literal 1 binary64)
(/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z))
(neg.f64 x)
x
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z)
(*.f64 (neg.f64 y) (cosh.f64 x))
(neg.f64 y)
y
(cosh.f64 x)
z
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 y (*.f64 z x))
y
(*.f64 z x)
z
x
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
y
z
(/.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)) x) y)) z)
#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)) x) y))
(*.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)
(/.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)
(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)
y
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 #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))
#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)
(/.f64 y x)
y
z
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z)))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)
#s(literal 1 binary64)
(/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z))
(*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x)
(neg.f64 x)
x
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z)
(*.f64 (/.f64 (neg.f64 y) z) (cosh.f64 x))
(*.f64 (neg.f64 y) (cosh.f64 x))
(*.f64 (cosh.f64 x) (neg.f64 y))
(neg.f64 y)
y
(cosh.f64 x)
z
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
y
(*.f64 z x)
z
x
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
y
z
(/.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)) x) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.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)) x) y)) z)
#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)) x) y))
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.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)) x) y))
(*.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)
(*.f64 (/.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)) x) 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)) x)
(/.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)) 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))
(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)
y
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 y z) x) #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 (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))
(*.f64 (/.f64 y x) #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)))
(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)
(/.f64 y x)
y
z

localize239.0ms (2.3%)

Memory
6.6MiB live, 210.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.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))
accuracy0.01171875
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy0.4789168415585575
#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)))
accuracy2.615071554907858
(/.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)
accuracy0.0078125
(/.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)
accuracy0.1015625
(*.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)
accuracy0.5435231559564542
#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)) x) y))
accuracy2.615071554907858
(/.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)) x) y)) z)
accuracy0.0078125
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))
accuracy0.1015625
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)
accuracy0.6879829575866527
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y))
accuracy2.615071554907858
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
accuracy0.0
(*.f64 z x)
accuracy1.1927026797767109
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
accuracy1.5586432215196884
(/.f64 y (*.f64 z x))
accuracy0.0
(cosh.f64 x)
accuracy0.0078125
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z)
accuracy0.09375
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z)))
accuracy1.7224801329662291
(/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z))
Samples
158.0ms135×2exit
32.0ms120×0valid
2.0ms1×5exit
Compiler

Compiled 246 to 38 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 156.0ms
ival-mult: 55.0ms (35.2% of total)
adjust: 42.0ms (26.9% of total)
ival-div: 34.0ms (21.8% of total)
const: 11.0ms (7% of total)
ival-add: 9.0ms (5.8% of total)
ival-cosh: 3.0ms (1.9% of total)
ival-neg: 2.0ms (1.3% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series66.0ms (0.6%)

Memory
-1.7MiB live, 35.8MiB allocated
Counts
21 → 54
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z)))
(/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z))
(neg.f64 x)
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 y (*.f64 z x))
(*.f64 z x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))
(/.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)) x) y)) z)
#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)) x) y))
(*.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)
(/.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)
(/.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 #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))
#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))
(cosh.f64 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)
(/ (* 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 x)
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* (pow x 2) y) z)))
(+ (* -1 (/ y z)) (* (pow x 2) (+ (* -1/2 (/ y z)) (* -1/24 (/ (* (pow x 2) y) z)))))
(+ (* -1 (/ y z)) (* (pow x 2) (+ (* -1/2 (/ y z)) (* (pow x 2) (+ (* -1/24 (/ y z)) (* -1/720 (/ (* (pow x 2) y) z)))))))
(* 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)
(/ 1 x)
(/ (+ 1 (* 1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (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)))))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* -1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ y (pow x 2))))
(* 1/2 x)
(* x (+ 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)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))
(* -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 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/24)))
(* y (+ (* 1/2 x) (/ 1 x)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
Calls

9 calls:

TimeVariablePointExpression
33.0ms
y
@-inf
((/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/ (neg x) (/ (* (neg y) (cosh x)) z)) (neg x) (/ (* (neg y) (cosh x)) z) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (cosh x) (+ (* 1/720 (* x x)) 1/24))
8.0ms
x
@inf
((/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/ (neg x) (/ (* (neg y) (cosh x)) z)) (neg x) (/ (* (neg y) (cosh x)) z) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (cosh x) (+ (* 1/720 (* x x)) 1/24))
5.0ms
x
@-inf
((/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/ (neg x) (/ (* (neg y) (cosh x)) z)) (neg x) (/ (* (neg y) (cosh x)) z) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (cosh x) (+ (* 1/720 (* x x)) 1/24))
5.0ms
y
@0
((/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/ (neg x) (/ (* (neg y) (cosh x)) z)) (neg x) (/ (* (neg y) (cosh x)) z) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (cosh x) (+ (* 1/720 (* x x)) 1/24))
4.0ms
y
@inf
((/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/ (neg x) (/ (* (neg y) (cosh x)) z)) (neg x) (/ (* (neg y) (cosh x)) z) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (cosh x) (+ (* 1/720 (* x x)) 1/24))

simplify223.0ms (2.1%)

Memory
5.3MiB live, 123.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198714
1649702
22174653
35205621
08673571
Stop Event
1×iter limit
1×node limit
Counts
54 → 54
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)
(/ (* 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 x)
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* (pow x 2) y) z)))
(+ (* -1 (/ y z)) (* (pow x 2) (+ (* -1/2 (/ y z)) (* -1/24 (/ (* (pow x 2) y) z)))))
(+ (* -1 (/ y z)) (* (pow x 2) (+ (* -1/2 (/ y z)) (* (pow x 2) (+ (* -1/24 (/ y z)) (* -1/720 (/ (* (pow x 2) y) z)))))))
(* 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)
(/ 1 x)
(/ (+ 1 (* 1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (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)))))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* -1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ y (pow x 2))))
(* 1/2 x)
(* x (+ 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)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))
(* -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 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/24)))
(* y (+ (* 1/2 x) (/ 1 x)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
Outputs
(/ y (* x z))
(/.f64 y (*.f64 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)) (/.f64 y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/.f64 (*.f64 (/.f64 y z) (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)
(/ (+ (* (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 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 y z) (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)) (/.f64 y z))) x)
(/ (* x z) y)
(*.f64 (/.f64 x y) z)
(* x (+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y)))
(*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))
(* 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 x y) z (*.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 (/.f64 x y) z (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) z (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 z y) #s(literal -61/720 binary64)) x) x (*.f64 #s(literal 5/24 binary64) (/.f64 z y))) (*.f64 x x)))))
(* -1 x)
(neg.f64 x)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(+ (* -1 (/ y z)) (* -1/2 (/ (* (pow x 2) y) z)))
(*.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(+ (* -1 (/ y z)) (* (pow x 2) (+ (* -1/2 (/ y z)) (* -1/24 (/ (* (pow x 2) y) z)))))
(fma.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) (/.f64 (neg.f64 y) z))
(+ (* -1 (/ y z)) (* (pow x 2) (+ (* -1/2 (/ y z)) (* (pow x 2) (+ (* -1/24 (/ y z)) (* -1/720 (/ (* (pow x 2) y) z)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 y z) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(* x z)
(*.f64 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 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 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
#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))
1/24
#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)))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 y z)) #s(literal -1/2 binary64))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 y x) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* x (+ (* 1/2 y) (/ y (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))
(* 1/24 (* (pow x 3) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) y)
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(*.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x))
(* 1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 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 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.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 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 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 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))
(*.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))
(fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/24)))
(neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))))
(* y (+ (* 1/2 x) (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) 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)) x) y)

rewrite224.0ms (2.1%)

Memory
-8.8MiB live, 158.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040264
071264
1267258
21814258
08615258
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 753
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z)))
(/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z))
(neg.f64 x)
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 y (*.f64 z x))
(*.f64 z x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))
(/.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)) x) y)) z)
#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)) x) y))
(*.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)
(/.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)
(/.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 #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))
#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))
(cosh.f64 x)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
Outputs
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) z))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (*.f64 (cosh.f64 x) y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 (cosh.f64 x) z) (neg.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) y))) (/.f64 (/.f64 #s(literal -1 binary64) x) z))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) y))) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) (neg.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) x))
(*.f64 (/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) z))
(*.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 (cosh.f64 x)) z))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) (cosh.f64 x)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal -1 binary64)) (neg.f64 z)) (/.f64 y x))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal -1 binary64)) z) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal -1 binary64)) (neg.f64 x)) (/.f64 y z))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 z)) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 y (*.f64 z x)))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal -1 binary64)) x) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 x)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)))
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 (/.f64 (cosh.f64 x) z)) x))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 x)) (/.f64 y z))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y (*.f64 z x)))
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 y) x) z))
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 y) z) x))
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(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) (pow.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)) #s(literal -1 binary64)) (neg.f64 (pow.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)) #s(literal -1 binary64))))
(fma.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)) x) x) #s(literal 1 binary64) #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 x x) (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)) #s(literal 1 binary64))
(fma.f64 x (*.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) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.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) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.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) x))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.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) x))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 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))) (pow.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)) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 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))) (neg.f64 (pow.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)) #s(literal -1 binary64))))
(+.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)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.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) x))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(-.f64 (*.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 x)) (*.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 (neg.f64 x))))
(*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 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 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 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)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 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 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (-.f64 #s(literal 1/576 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #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 (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (neg.f64 (/.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)))

eval137.0ms (1.3%)

Memory
23.5MiB live, 173.1MiB allocated
Compiler

Compiled 19 244 to 2 820 computations (85.3% saved)

prune64.0ms (0.6%)

Memory
8.4MiB live, 83.9MiB allocated
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New78219801
Fresh549
Picked325
Done000
Total79025815
Accuracy
100.0%
Counts
815 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.0%
(/.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)
83.5%
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
80.1%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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)
78.2%
(/.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))) y) (*.f64 z x))
79.8%
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
▶80.1%
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.f64 y x)) z)
69.7%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
▶66.2%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
89.5%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.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 x x) y) x)) z)
36.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (-.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) z)
44.8%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
✓66.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
49.2%
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
▶29.2%
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
86.4%
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
78.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.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)))
53.1%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
42.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg x) (/ (* (neg y) (cosh x)) z)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))))
77.6%
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))
▶96.9%
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
53.1%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
✓46.4%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
87.8%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
53.1%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
▶82.3%
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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))
Compiler

Compiled 1 071 to 727 computations (32.1% saved)

simplify145.0ms (1.4%)

Memory
4.1MiB live, 149.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 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)) x) x #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (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) x #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.f64 y x))
cost-diff0
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.f64 y x)) z)
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) (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
(/.f64 (*.f64 (/.f64 y z) (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
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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(literal 1/2 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))
cost-diff0
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)))
cost-diff0
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
cost-diff0
#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)
cost-diff0
#s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))
cost-diff0
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
cost-diff0
(cosh.f64 x)
cost-diff0
(/.f64 (cosh.f64 x) x)
cost-diff0
(/.f64 (/.f64 (cosh.f64 x) x) z)
cost-diff0
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046363
075363
1149362
2329359
31103359
44603359
57830359
08541355
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
y
(/.f64 (/.f64 (cosh.f64 x) x) z)
(/.f64 (cosh.f64 x) x)
(cosh.f64 x)
x
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)
#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(/.f64 y x)
z
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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 (/.f64 y z) (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 z) (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 z)
y
z
(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)
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.f64 y x)) z)
(*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.f64 y x))
#s(approx (cosh x) (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) x #s(literal 1 binary64)))
(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) x #s(literal 1 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)) x)
(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)
(/.f64 y x)
y
z
Outputs
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)
y
(/.f64 (/.f64 (cosh.f64 x) x) z)
(/.f64 (cosh.f64 x) x)
(cosh.f64 x)
x
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)
#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)))) z)
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)))
#s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(/.f64 y x)
z
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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 (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (/.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)) z) x) y))
(/.f64 (*.f64 (/.f64 y z) (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 (/.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)) z) x) y)
(*.f64 (/.f64 y z) (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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) y)
(/.f64 y z)
y
z
(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)
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.f64 y x)) z)
(*.f64 (/.f64 (/.f64 y z) x) #s(approx (cosh x) (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) x #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.f64 y x))
#s(approx (cosh x) (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) x #s(literal 1 binary64)))
(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) x #s(literal 1 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)) x)
(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)
(/.f64 y x)
y
z

localize291.0ms (2.8%)

Memory
-32.9MiB live, 344.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.f64 y x))
accuracy0.01171875
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy0.4789168415585575
#s(approx (cosh x) (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) x #s(literal 1 binary64)))
accuracy2.615071554907858
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.f64 y x)) z)
accuracy0.0078125
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy0.0078125
(*.f64 (/.f64 y z) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.544591395978546
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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))
accuracy1.706741920474063
(/.f64 (*.f64 (/.f64 y z) (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)
accuracy0.0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0.0078125
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))
accuracy0.6879829575866527
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)))
accuracy2.615071554907858
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
accuracy0.1015625
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)
accuracy0.6879829575866527
#s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))
accuracy2.615071554907858
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
accuracy28.574531814323876
#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))
accuracy0.0
(cosh.f64 x)
accuracy0.0078125
(/.f64 (cosh.f64 x) x)
accuracy0.10546875
(/.f64 (/.f64 (cosh.f64 x) x) z)
accuracy1.954811720306247
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
Samples
196.0ms135×2exit
59.0ms120×0valid
2.0ms1×5exit
Compiler

Compiled 258 to 43 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 213.0ms
ival-mult: 124.0ms (58.1% of total)
ival-add: 38.0ms (17.8% of total)
ival-div: 17.0ms (8% of total)
adjust: 16.0ms (7.5% of total)
const: 12.0ms (5.6% of total)
ival-cosh: 3.0ms (1.4% of total)
ival-neg: 2.0ms (0.9% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.4%)

Memory
30.8MiB live, 74.2MiB allocated
Counts
22 → 57
Calls
Call 1
Inputs
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
(/.f64 (/.f64 (cosh.f64 x) x) z)
(/.f64 (cosh.f64 x) x)
(cosh.f64 x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)
#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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 (/.f64 y z) (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 z) (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 z)
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.f64 y x)) z)
(*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.f64 y x))
#s(approx (cosh x) (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) x #s(literal 1 binary64)))
(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) x #s(literal 1 binary64))
(fma.f64 #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))
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)
(/ 1 (* x z))
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x)
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) 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 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 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))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ y (pow x 2))))
(* x (+ 1/2 (/ 1 (pow x 2))))
(* 1/24 (/ (* (pow x 3) y) z))
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))
(* 1/24 (/ (* (pow x 4) y) z))
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))))
(* y (+ (* 1/2 x) (/ 1 x)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)
(* -1 (* y (- (* -1/2 x) (/ 1 x))))
Calls

9 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
((* y (/ (/ (cosh x) x) z)) (/ (/ (cosh x) x) z) (/ (cosh x) x) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* 1/2 x) y) (/ y x)) (* 1/2 x) (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24))
7.0ms
y
@0
((* y (/ (/ (cosh x) x) z)) (/ (/ (cosh x) x) z) (/ (cosh x) x) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* 1/2 x) y) (/ y x)) (* 1/2 x) (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24))
5.0ms
y
@-inf
((* y (/ (/ (cosh x) x) z)) (/ (/ (cosh x) x) z) (/ (cosh x) x) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* 1/2 x) y) (/ y x)) (* 1/2 x) (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24))
4.0ms
x
@inf
((* y (/ (/ (cosh x) x) z)) (/ (/ (cosh x) x) z) (/ (cosh x) x) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* 1/2 x) y) (/ y x)) (* 1/2 x) (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24))
4.0ms
y
@inf
((* y (/ (/ (cosh x) x) z)) (/ (/ (cosh x) x) z) (/ (cosh x) x) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* 1/2 x) y) (/ y x)) (* 1/2 x) (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24))

simplify270.0ms (2.6%)

Memory
11.1MiB live, 229.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0174752
1535748
21657686
34964662
08284613
Stop Event
1×iter limit
1×node limit
Counts
57 → 57
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)
(/ 1 (* x z))
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x)
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) 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 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 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))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ y (pow x 2))))
(* x (+ 1/2 (/ 1 (pow x 2))))
(* 1/24 (/ (* (pow x 3) y) z))
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))
(* 1/24 (/ (* (pow x 4) y) z))
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))))
(* y (+ (* 1/2 x) (/ 1 x)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)
(* -1 (* y (- (* -1/2 x) (/ 1 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)) (/.f64 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)) z) x) y)
(/ (+ (* (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 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 y z) (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)) (/.f64 y z))) x)
(/ 1 (* x z))
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x)
(/.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x)
(/.f64 (fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) x)
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x)
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z)) 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 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)) 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 (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)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(/ y z)
(/.f64 y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z))
(+ (* (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)
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))
1/24
#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 (/.f64 #s(literal 1/2 binary64) x) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 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))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) x) y) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 y) (/ y (pow x 2))))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) (/.f64 y x))
(* x (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))
(* 1/24 (/ (* (pow x 3) y) z))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) z) #s(literal 1/24 binary64))
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))
(*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))
(*.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 3 binary64)))
(* 1/24 (/ (* (pow x 4) y) z))
(*.f64 y (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) z))
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))
(*.f64 (*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))
(*.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 4 binary64)))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 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 6 binary64)))
(* (pow x 6) (+ 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 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.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 6 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 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 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) (/.f64 y x))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))
(*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))))
(*.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 3 binary64)))
(* y (+ (* 1/2 x) (/ 1 x)))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) (/.f64 y x))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))
(*.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)) z) x) y)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) 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)
(* -1 (* y (- (* -1/2 x) (/ 1 x))))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) (/.f64 y x))

rewrite256.0ms (2.4%)

Memory
-31.8MiB live, 304.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046289
075289
1299285
22196285
08228281
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 809
Calls
Call 1
Inputs
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
(/.f64 (/.f64 (cosh.f64 x) x) z)
(/.f64 (cosh.f64 x) x)
(cosh.f64 x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)
#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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 (/.f64 y z) (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 z) (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 z)
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.f64 y x)) z)
(*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.f64 y x))
#s(approx (cosh x) (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) x #s(literal 1 binary64)))
(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) x #s(literal 1 binary64))
(fma.f64 #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))
Outputs
(*.f64 (/.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) z))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (*.f64 (cosh.f64 x) y) #s(literal -1 binary64))) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (cosh.f64 x)))) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 y (/.f64 z (neg.f64 (cosh.f64 x)))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y (/.f64 z #s(literal 1 binary64))) (/.f64 (cosh.f64 x) x))
(*.f64 (/.f64 y (/.f64 z (cosh.f64 x))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cosh.f64 x) y) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) z))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) y))) (/.f64 (/.f64 #s(literal -1 binary64) x) z))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) y))) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) z) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 (neg.f64 (neg.f64 y)) z) (/.f64 (cosh.f64 x) x))
(*.f64 (/.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64)) (/.f64 (/.f64 (cosh.f64 x) z) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 (cosh.f64 x) z) (neg.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 (cosh.f64 x) z) (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) x))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) y))))
(*.f64 (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) x) (/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) x) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) y) #s(literal -1 binary64)) (/.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) y) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64))) x))
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 y) z) x))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) z))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (*.f64 (cosh.f64 x) y)) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cosh.f64 x) y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (pow.f64 z #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (/.f64 (cosh.f64 x) z)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 y) (cosh.f64 x))) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (/.f64 (cosh.f64 x) z))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 (cosh.f64 x)) x))
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) x) (/.f64 (*.f64 (cosh.f64 x) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) y) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) x))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 (cosh.f64 x) z) x))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 (/.f64 (cosh.f64 x) z)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 (cosh.f64 x)) z))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (/.f64 (cosh.f64 x) z) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (cosh.f64 x) (neg.f64 z)))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (cosh.f64 x) z) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) (/.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) y))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) x))
(*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) (/.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (*.f64 (cosh.f64 x) y)) z)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) (neg.f64 x)))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(*.f64 (*.f64 (/.f64 (cosh.f64 x) z) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 y) (/.f64 (/.f64 (cosh.f64 x) z) (neg.f64 x)))
(*.f64 (/.f64 y x) (/.f64 (/.f64 (cosh.f64 x) z) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) z))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) z) x) (/.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) z) x) y)
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)))
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 (neg.f64 (neg.f64 y)) z))
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
(pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 x (*.f64 (cosh.f64 x) y)) z))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 x (*.f64 (cosh.f64 x) y)) z) (*.f64 (/.f64 x (*.f64 (cosh.f64 x) y)) z)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (/.f64 (*.f64 (cosh.f64 x) y) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 x (*.f64 (cosh.f64 x) y)) z) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) y)) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 y (/.f64 (neg.f64 (cosh.f64 x)) x))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cosh.f64 x) y))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (neg.f64 (/.f64 (/.f64 z (neg.f64 y)) (cosh.f64 x))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 y) (cosh.f64 x)))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (cosh.f64 x) y) x))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) y))) (neg.f64 (*.f64 (neg.f64 x) (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (cosh.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 z (/.f64 x (cosh.f64 x)))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 z (/.f64 x (cosh.f64 x)))))
(/.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) y) (neg.f64 z))
(/.f64 (*.f64 y (/.f64 (neg.f64 (cosh.f64 x)) x)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cosh.f64 x) y)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 (/.f64 z (neg.f64 y)) (cosh.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 y) (cosh.f64 x))) z)
(/.f64 (neg.f64 (/.f64 (*.f64 (cosh.f64 x) y) x)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) y)) (*.f64 (neg.f64 x) (neg.f64 z)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (cosh.f64 x))) (*.f64 (neg.f64 x) z))
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 z (/.f64 x (cosh.f64 x))))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 x (cosh.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 z (neg.f64 y)) (cosh.f64 x)))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)
(/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 (*.f64 (neg.f64 x) z)))
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 (neg.f64 x) (neg.f64 z)))
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (/.f64 (*.f64 (cosh.f64 x) y) x))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (*.f64 (cosh.f64 x) y)) (neg.f64 z)))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) z) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (neg.f64 (*.f64 (neg.f64 x) (neg.f64 z))))
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (neg.f64 (*.f64 z x)))
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (*.f64 (neg.f64 x) z))
(/.f64 (neg.f64 y) (neg.f64 (*.f64 z (/.f64 x (cosh.f64 x)))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 z (neg.f64 y)) (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 (cosh.f64 x) y) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (cosh.f64 x) y)) z))
(/.f64 y (*.f64 z (/.f64 x (cosh.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (*.f64 (cosh.f64 x) y)) z)))
(neg.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 z))) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (*.f64 (neg.f64 x) (neg.f64 z))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z x)) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (*.f64 z x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) z)) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 (neg.f64 x) z)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (*.f64 (cosh.f64 x) y)) z)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (cosh.f64 x)))) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 z x)) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 (cosh.f64 x)) x))
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) z))
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 z (neg.f64 (cosh.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) z))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) x))
(*.f64 (/.f64 (cosh.f64 x) z) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cosh.f64 x) x))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cosh.f64 x) z) x))
(*.f64 (cosh.f64 x) (/.f64 (pow.f64 x #s(literal -1 binary64)) z))
(*.f64 (cosh.f64 x) (pow.f64 (*.f64 z x) #s(literal -1 binary64)))
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (cosh.f64 x) x) (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 z (/.f64 x (cosh.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 z x) (cosh.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x (cosh.f64 x)) z) #s(literal -1 binary64))
(pow.f64 (*.f64 z (/.f64 x (cosh.f64 x))) #s(literal -1 binary64))
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eval111.0ms (1%)

Memory
33.8MiB live, 307.5MiB allocated
Compiler

Compiled 24 617 to 3 208 computations (87% saved)

prune40.0ms (0.4%)

Memory
-5.2MiB live, 114.3MiB allocated
Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New85210862
Fresh11718
Picked325
Done022
Total85631887
Accuracy
100.0%
Counts
887 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶92.0%
(/.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)
83.5%
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
80.1%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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)
78.2%
(/.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))) y) (*.f64 z x))
▶79.8%
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
78.2%
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) y) (*.f64 z x))
69.7%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
✓66.2%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
89.5%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.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 x x) y) x)) z)
36.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (-.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) z)
44.8%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
✓66.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
49.2%
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
✓29.2%
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
86.4%
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
78.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.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)))
▶53.1%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
73.6%
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (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) x #s(literal 1 binary64))))
77.6%
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))
79.3%
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
45.7%
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
▶53.1%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
✓46.4%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
87.8%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
53.1%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
74.7%
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
82.3%
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
81.3%
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) x))
74.2%
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) (/.f64 (/.f64 y z) x)))
▶77.4%
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
46.7%
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
Compiler

Compiled 1 410 to 964 computations (31.6% saved)

simplify159.0ms (1.5%)

Memory
-2.4MiB live, 167.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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))
cost-diff0
#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)))
cost-diff0
(*.f64 #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))) (/.f64 y x))
cost-diff0
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
(/.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)) z)
cost-diff0
(*.f64 (/.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)) z) (/.f64 y x))
cost-diff0
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
cost-diff0
#s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z)))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
cost-diff0
(/.f64 y z)
cost-diff0
(/.f64 (/.f64 y z) x)
cost-diff0
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y 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 #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)
cost-diff0
(/.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)
cost-diff0
(/.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)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050454
080454
1154452
2336448
31058448
44007448
08233448
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.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)
(/.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)
(*.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)
#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)
y
z
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(literal 1 binary64)
(/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z)))
(neg.f64 x)
x
#s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
(*.f64 (/.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)) z) (/.f64 y x))
(/.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)) z)
(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 (*.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)
#s(literal 1 binary64)
z
(/.f64 y x)
y
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(*.f64 #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))) (/.f64 y x))
#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)))
(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))
(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))
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 y x)
y
z
Outputs
(/.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)
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.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)
(*.f64 (/.f64 y z) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.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)
(*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.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) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.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 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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))
(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)
y
z
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y x) z))
(/.f64 (/.f64 y z) x)
(/.f64 (/.f64 y x) z)
(/.f64 y z)
y
z
x
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z)) (neg.f64 x))
#s(literal 1 binary64)
(/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z)))
(neg.f64 x)
x
#s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
#s(approx (/ (* (cosh x) (/ y x)) 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)) x) (/.f64 y z)))
(*.f64 (/.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)) z) (/.f64 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) (/.f64 y z))
(/.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)) z)
(/.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)) z)
(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 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(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)
#s(literal 1 binary64)
z
(/.f64 y x)
y
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))))
(*.f64 #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))) (/.f64 y x))
(*.f64 #s(approx (cosh x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))) (/.f64 y x))
#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)))
#s(approx (cosh x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))
(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))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
(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))
(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))
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 y x)
y
z

localize147.0ms (1.4%)

Memory
-15.2MiB live, 258.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
accuracy0.4789168415585575
#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)))
accuracy2.615071554907858
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
accuracy28.487748044733152
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))
accuracy0.0078125
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
accuracy0.0078125
(/.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)) z)
accuracy0.544591395978546
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
accuracy2.638509054907858
(*.f64 (/.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)) z) (/.f64 y x))
accuracy0.0
(neg.f64 x)
accuracy0.09375
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
accuracy1.1962318386617619
#s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))
accuracy1.7224801329662291
(/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z)))
accuracy0.0
(/.f64 y z)
accuracy1.1927026797767109
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
accuracy1.714554420474063
(/.f64 (/.f64 y z) x)
accuracy0.0078125
(/.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)
accuracy0.01171875
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy0.4789168415585575
#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)))
accuracy1.706741920474063
(/.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)
Samples
79.0ms135×2exit
34.0ms120×0valid
4.0ms1×5exit
Compiler

Compiled 281 to 38 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 19.0ms (26.3% of total)
ival-div: 17.0ms (23.5% of total)
adjust: 12.0ms (16.6% of total)
const: 10.0ms (13.8% of total)
ival-add: 8.0ms (11.1% of total)
ival-cosh: 3.0ms (4.2% of total)
ival-neg: 2.0ms (2.8% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series36.0ms (0.3%)

Memory
-8.0MiB live, 74.3MiB allocated
Counts
23 → 64
Calls
Call 1
Inputs
(/.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)
(/.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)
(*.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)
#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) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z)))
(neg.f64 x)
#s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
(*.f64 (/.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)) z) (/.f64 y x))
(/.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)) z)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(*.f64 #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))) (/.f64 y x))
#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)))
(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))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/720 binary64) (*.f64 x 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 (+ (* -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 x)
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* (pow x 2) y) z)))
(+ (* -1 (/ y z)) (* (pow x 2) (+ (* -1/2 (/ y z)) (* -1/24 (/ (* (pow x 2) y) z)))))
(+ (* -1 (/ y z)) (* (pow x 2) (+ (* -1/2 (/ y z)) (* (pow x 2) (+ (* -1/24 (/ y z)) (* -1/720 (/ (* (pow x 2) y) z)))))))
(/ 1 z)
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z))
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 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)
1/24
(+ 1/24 (* 1/720 (pow x 2)))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(* 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))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* -1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/24 (/ (* (pow x 3) y) z))
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))
(* 1/24 (/ (pow x 4) z))
(* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))))
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z)
Calls

9 calls:

TimeVariablePointExpression
6.0ms
y
@0
((/ (/ (* (cosh x) y) z) x) (/ (* (cosh x) y) z) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/ (neg x) (/ (* (neg y) (cosh x)) z)) (neg x) (/ (* (neg y) (cosh x)) z) (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (* (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/ y x)) (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/720 (* x x)) 1/24) (+ (* (* x x) 1/24) 1/2) (+ (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)))
6.0ms
z
@-inf
((/ (/ (* (cosh x) y) z) x) (/ (* (cosh x) y) z) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/ (neg x) (/ (* (neg y) (cosh x)) z)) (neg x) (/ (* (neg y) (cosh x)) z) (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (* (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/ y x)) (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/720 (* x x)) 1/24) (+ (* (* x x) 1/24) 1/2) (+ (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)))
4.0ms
x
@-inf
((/ (/ (* (cosh x) y) z) x) (/ (* (cosh x) y) z) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/ (neg x) (/ (* (neg y) (cosh x)) z)) (neg x) (/ (* (neg y) (cosh x)) z) (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (* (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/ y x)) (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/720 (* x x)) 1/24) (+ (* (* x x) 1/24) 1/2) (+ (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)))
4.0ms
y
@-inf
((/ (/ (* (cosh x) y) z) x) (/ (* (cosh x) y) z) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/ (neg x) (/ (* (neg y) (cosh x)) z)) (neg x) (/ (* (neg y) (cosh x)) z) (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (* (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/ y x)) (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/720 (* x x)) 1/24) (+ (* (* x x) 1/24) 1/2) (+ (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)))
4.0ms
x
@inf
((/ (/ (* (cosh x) y) z) x) (/ (* (cosh x) y) z) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/ (neg x) (/ (* (neg y) (cosh x)) z)) (neg x) (/ (* (neg y) (cosh x)) z) (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (* (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/ y x)) (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/720 (* x x)) 1/24) (+ (* (* x x) 1/24) 1/2) (+ (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)))

simplify199.0ms (1.9%)

Memory
25.3MiB live, 216.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0202902
1669888
22232806
35381783
08302727
Stop Event
1×iter limit
1×node limit
Counts
64 → 63
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 (+ (* -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 x)
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* (pow x 2) y) z)))
(+ (* -1 (/ y z)) (* (pow x 2) (+ (* -1/2 (/ y z)) (* -1/24 (/ (* (pow x 2) y) z)))))
(+ (* -1 (/ y z)) (* (pow x 2) (+ (* -1/2 (/ y z)) (* (pow x 2) (+ (* -1/24 (/ y z)) (* -1/720 (/ (* (pow x 2) y) z)))))))
(/ 1 z)
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z))
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 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)
1/24
(+ 1/24 (* 1/720 (pow x 2)))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(* 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))))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(* -1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/24 (/ (* (pow x 3) y) z))
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))
(* 1/24 (/ (pow x 4) z))
(* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))))
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z)
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)) (/.f64 y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(*.f64 (/.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)) x) (/.f64 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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z))) x)
(/ y z)
(/.f64 y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(*.f64 (/.f64 y z) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(+ (* (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 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.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 (*.f64 x x) #s(literal 1/24 binary64) #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 (*.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.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 (*.f64 x x) #s(literal 1/24 binary64) #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 (*.f64 x x) #s(literal 1/720 binary64) #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 x y) z)
(* x (+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y)))
(*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))
(* 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 x y) z (*.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 (/.f64 x y) z (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) z (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 z (neg.f64 y)) #s(literal 61/720 binary64)) x) x (*.f64 #s(literal 5/24 binary64) (/.f64 z y))) (*.f64 x x)))))
(* -1 x)
(neg.f64 x)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(+ (* -1 (/ y z)) (* -1/2 (/ (* (pow x 2) y) z)))
(*.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(+ (* -1 (/ y z)) (* (pow x 2) (+ (* -1/2 (/ y z)) (* -1/24 (/ (* (pow x 2) y) z)))))
(fma.f64 (*.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (*.f64 x x) (/.f64 (neg.f64 y) z))
(+ (* -1 (/ y z)) (* (pow x 2) (+ (* -1/2 (/ y z)) (* (pow x 2) (+ (* -1/24 (/ y z)) (* -1/720 (/ (* (pow x 2) y) z)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 y z) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z))
(fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (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 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 y (/.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)) x))
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(/.f64 (fma.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y) x)
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 (/.f64 #s(literal 1/2 binary64) x) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 y z)) #s(literal 1/2 binary64))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) #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))
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x))))))
(/.f64 (*.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 y z)) #s(literal -1/2 binary64))
(* 1/24 (/ (* (pow x 3) y) z))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) z) #s(literal 1/24 binary64))
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))
(*.f64 x (*.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))
(*.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* 1/24 (/ (pow x 4) z))
(*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) z) #s(literal 1/24 binary64))
(* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z)))))
(*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 #s(literal 1 binary64) z))
(* 1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* 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))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 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 6 binary64)))
(* (pow x 6) (+ 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 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.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 6 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))
(*.f64 x (*.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))))
(*.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))
(*.f64 (/.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)) x) (/.f64 y z))
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z)
(/.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)) z)

rewrite445.0ms (4.2%)

Memory
-28.9MiB live, 260.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050363
080363
1316357
22184357
08436357
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 716
Calls
Call 1
Inputs
(/.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)
(/.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)
(*.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)
#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) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z)))
(neg.f64 x)
#s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
(*.f64 (/.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)) z) (/.f64 y x))
(/.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)) z)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(*.f64 #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))) (/.f64 y x))
#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)))
(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))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
Outputs
(*.f64 (/.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 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))
(fma.f64 x (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
(*.f64 (*.f64 #s(literal 1/720 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/720 binary64) x))

eval225.0ms (2.1%)

Memory
28.1MiB live, 215.4MiB allocated
Compiler

Compiled 24 933 to 2 746 computations (89% saved)

prune120.0ms (1.1%)

Memory
-0.6MiB live, 87.8MiB allocated
Pruning

32 alts after pruning (27 fresh and 5 done)

PrunedKeptTotal
New76013773
Fresh81422
Picked415
Done044
Total77232804
Accuracy
100.0%
Counts
804 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.0%
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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)
88.9%
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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) z) x)
90.3%
(/.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) x) z)
90.9%
(/.f64 (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y)) z) x)
83.5%
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
77.9%
(/.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) (*.f64 z x))
79.8%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
78.2%
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) y) (*.f64 z x))
69.7%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
✓66.2%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
36.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (-.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) z)
44.8%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
✓66.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
49.2%
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
✓29.2%
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
86.4%
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
90.6%
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x)))
53.1%
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
73.6%
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (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) x #s(literal 1 binary64))))
77.6%
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))
45.7%
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
76.1%
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)))
46.6%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z)) x))
✓53.1%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
✓46.4%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
74.7%
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
82.3%
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
74.2%
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) (/.f64 (/.f64 y z) x)))
76.4%
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
71.1%
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
44.7%
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
46.7%
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
Compiler

Compiled 2 161 to 830 computations (61.6% saved)

regimes203.0ms (1.9%)

Memory
8.8MiB live, 124.1MiB allocated
Counts
57 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg x) (/ (* (neg y) (cosh x)) z)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z)) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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 (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
(/.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)) x) y)) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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) z) x)
(/.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) (*.f64 z x))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)))
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) y) (*.f64 z x))
(/.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) (*.f64 z x))
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.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 #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) x) z)
#s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x)))
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (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) x #s(literal 1 binary64))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.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 x x) y) x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y)) 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)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.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)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (-.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) z)
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z)))
Outputs
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z)))
Calls

5 calls:

77.0ms
z
57.0ms
y
36.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
16.0ms
x
14.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
97.3%1x
97.3%1y
99.9%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)

regimes127.0ms (1.2%)

Memory
-14.8MiB live, 73.3MiB allocated
Counts
56 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg x) (/ (* (neg y) (cosh x)) z)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z)) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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 (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
(/.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)) x) y)) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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) z) x)
(/.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) (*.f64 z x))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)))
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) y) (*.f64 z x))
(/.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) (*.f64 z x))
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.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 #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) x) z)
#s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x)))
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (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) x #s(literal 1 binary64))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.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 x x) y) x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y)) 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)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.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)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (-.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) z)
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Outputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
Calls

3 calls:

68.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
42.0ms
z
14.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
99.5%2z
99.9%2(*.f64 (cosh.f64 x) (/.f64 y x))
99.9%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes33.0ms (0.3%)

Memory
11.7MiB live, 50.4MiB allocated
Counts
55 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg x) (/ (* (neg y) (cosh x)) z)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z)) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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 (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
(/.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)) x) y)) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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) z) x)
(/.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) (*.f64 z x))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)))
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) y) (*.f64 z x))
(/.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) (*.f64 z x))
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.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 #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) x) z)
#s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x)))
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (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) x #s(literal 1 binary64))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.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 x x) y) x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y)) 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)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.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)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (-.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) z)
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
Outputs
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (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) x #s(literal 1 binary64))))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
Calls

2 calls:

17.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
14.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
99.5%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
99.5%2(*.f64 (cosh.f64 x) (/.f64 y x))
Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes85.0ms (0.8%)

Memory
-5.6MiB live, 152.3MiB allocated
Counts
54 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg x) (/ (* (neg y) (cosh x)) z)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z)) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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 (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
(/.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)) x) y)) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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) z) x)
(/.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) (*.f64 z x))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)))
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) y) (*.f64 z x))
(/.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) (*.f64 z x))
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.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 #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) x) z)
#s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x)))
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (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) x #s(literal 1 binary64))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.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 x x) y) x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y)) 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)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.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)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (-.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) z)
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
Outputs
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
Calls

5 calls:

18.0ms
x
18.0ms
z
16.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
15.0ms
y
15.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
97.2%2x
94.6%2y
92.0%1z
95.0%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
94.6%2(*.f64 (cosh.f64 x) (/.f64 y x))
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes19.0ms (0.2%)

Memory
-0.3MiB live, 38.2MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg x) (/ (* (neg y) (cosh x)) z)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z)) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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 (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
(/.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)) x) y)) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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) z) x)
(/.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) (*.f64 z x))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)))
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) y) (*.f64 z x))
(/.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) (*.f64 z x))
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.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 #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) x) z)
#s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x)))
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (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) x #s(literal 1 binary64))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.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 x x) y) x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y)) 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)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.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)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (-.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) z)
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))
Outputs
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 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) x) z)
Calls

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
96.8%2x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes18.0ms (0.2%)

Memory
-3.4MiB live, 40.8MiB allocated
Counts
51 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg x) (/ (* (neg y) (cosh x)) z)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z)) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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 (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
(/.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)) x) y)) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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) z) x)
(/.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) (*.f64 z x))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)))
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) y) (*.f64 z x))
(/.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) (*.f64 z x))
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.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 #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) x) z)
#s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x)))
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (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) x #s(literal 1 binary64))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.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 x x) y) x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y)) 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)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.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)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (-.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) z)
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
Outputs
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
Calls

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
96.5%2x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes32.0ms (0.3%)

Memory
-4.0MiB live, 72.3MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg x) (/ (* (neg y) (cosh x)) z)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z)) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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 (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
(/.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)) x) y)) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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) z) x)
(/.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) (*.f64 z x))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)))
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) y) (*.f64 z x))
(/.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) (*.f64 z x))
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.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 #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) x) z)
#s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x)))
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (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) x #s(literal 1 binary64))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.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 x x) y) x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y)) 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)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.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)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (-.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) z)
Outputs
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.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)
Calls

2 calls:

15.0ms
x
14.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
94.6%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
92.0%1x
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes42.0ms (0.4%)

Memory
11.2MiB live, 93.9MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg x) (/ (* (neg y) (cosh x)) z)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z)) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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 (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
(/.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)) x) y)) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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) z) x)
(/.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) (*.f64 z x))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)))
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) y) (*.f64 z x))
(/.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) (*.f64 z x))
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.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 #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) x) z)
#s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x)))
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (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) x #s(literal 1 binary64))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.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 x x) y) x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y)) z) x)
Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z)
(/.f64 (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y)) z) x)
Calls

3 calls:

15.0ms
y
12.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
12.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
94.6%2y
93.5%2(*.f64 (cosh.f64 x) (/.f64 y x))
93.5%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes16.0ms (0.2%)

Memory
0.1MiB live, 38.8MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg x) (/ (* (neg y) (cosh x)) z)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z)) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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 (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
(/.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)) x) y)) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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) z) x)
(/.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) (*.f64 z x))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)))
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) y) (*.f64 z x))
(/.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) (*.f64 z x))
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.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 #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) x) z)
#s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x)))
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (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) x #s(literal 1 binary64))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.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 x x) y) x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) (/.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 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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)
Outputs
(/.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) x) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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) z) x)
Calls

1 calls:

14.0ms
y
Results
AccuracySegmentsBranch
93.6%2y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes121.0ms (1.1%)

Memory
0.7MiB live, 123.6MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg x) (/ (* (neg y) (cosh x)) z)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z)) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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 (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
(/.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)) x) y)) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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) z) x)
(/.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) (*.f64 z x))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)))
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) y) (*.f64 z x))
(/.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) (*.f64 z x))
(/.f64 (*.f64 #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))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
Outputs
(/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) y) (*.f64 z x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
Calls

5 calls:

75.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
12.0ms
y
12.0ms
x
11.0ms
z
10.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
91.5%2(*.f64 (cosh.f64 x) (/.f64 y x))
91.6%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
91.1%2z
91.9%2x
91.4%2y
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes56.0ms (0.5%)

Memory
-2.6MiB live, 36.7MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg x) (/ (* (neg y) (cosh x)) z)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z)) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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 (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
(/.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)) x) y)) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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) z) x)
(/.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) (*.f64 z x))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)))
Outputs
(/.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) (*.f64 z x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
Calls

2 calls:

46.0ms
x
9.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
91.5%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
91.6%2x
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes38.0ms (0.4%)

Memory
-4.1MiB live, 35.3MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg x) (/ (* (neg y) (cosh x)) z)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z)) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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 (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
(/.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)) x) y)) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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) z) x)
Outputs
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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) z) x)
Calls

2 calls:

29.0ms
x
8.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
91.5%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
88.9%1x
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes69.0ms (0.7%)

Memory
-14.6MiB live, 66.3MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg x) (/ (* (neg y) (cosh x)) z)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z)) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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 (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
(/.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)) x) y)) z)
Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))
Calls

4 calls:

25.0ms
z
25.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
9.0ms
y
8.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
90.3%2z
90.3%2y
90.7%2(*.f64 (cosh.f64 x) (/.f64 y x))
90.7%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes86.0ms (0.8%)

Memory
0.4MiB live, 78.8MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg x) (/ (* (neg y) (cosh x)) z)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z)) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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 (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))
Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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))
Calls

5 calls:

31.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
29.0ms
y
8.0ms
x
8.0ms
z
8.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
90.0%2y
88.1%2z
88.0%2x
90.0%3(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
90.0%3(*.f64 (cosh.f64 x) (/.f64 y x))
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes9.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg x) (/ (* (neg y) (cosh x)) z)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z)) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.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)) z) (/.f64 y x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) (/.f64 (/.f64 y z) x)))
Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) x))
Calls

1 calls:

8.0ms
y
Results
AccuracySegmentsBranch
89.4%2y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes61.0ms (0.6%)

Memory
-5.3MiB live, 76.3MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg x) (/ (* (neg y) (cosh x)) z)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z)) x))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z)
Calls

5 calls:

27.0ms
y
14.0ms
z
7.0ms
x
6.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
6.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
88.0%2x
86.4%1z
86.4%1(*.f64 (cosh.f64 x) (/.f64 y x))
86.4%1(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
86.4%1y
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes53.0ms (0.5%)

Memory
-25.2MiB live, 14.5MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg x) (/ (* (neg y) (cosh x)) z)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 x x) z))))
Outputs
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
88.0%2x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes78.0ms (0.7%)

Memory
12.6MiB live, 52.1MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ (* (neg y) (cosh x)) z) (/.f64 (neg.f64 y) z))))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) z))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
Calls

5 calls:

55.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
6.0ms
z
6.0ms
y
5.0ms
x
5.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
82.9%2z
82.2%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
82.2%2(*.f64 (cosh.f64 x) (/.f64 y x))
79.3%1y
87.6%2x
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes4.0ms (0%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
87.0%2x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes68.0ms (0.6%)

Memory
-7.3MiB live, 32.2MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)))
Calls

5 calls:

55.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
3.0ms
z
3.0ms
y
3.0ms
x
3.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
62.1%5y
68.5%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
73.0%2(*.f64 (cosh.f64 x) (/.f64 y x))
58.9%3z
79.7%2x
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes8.0ms (0.1%)

Memory
18.9MiB live, 18.9MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.f64 #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)))
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z)
Calls

3 calls:

3.0ms
x
3.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
2.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
55.7%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
57.0%2(*.f64 (cosh.f64 x) (/.f64 y x))
67.0%2x
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes59.0ms (0.6%)

Memory
-26.0MiB live, 15.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

54.0ms
z
1.0ms
y
1.0ms
x
1.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
1.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
46.4%1(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
46.4%1(*.f64 (cosh.f64 x) (/.f64 y x))
46.4%1z
46.4%1y
46.4%1x
Compiler

Compiled 17 to 22 computations (-29.4% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.63527413103666e-65
9.404887711568105e-33
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.321881007407706e+293
+inf
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2710008050300633e+293
3.7138847001083223e+294
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch10.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
9.0ms
7.1247858873256105e+75
5.470663276241133e+81
Samples
5.0ms96×0valid
Compiler

Compiled 215 to 169 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (35.2% of total)
ival-mult: 1.0ms (35.2% of total)
ival-cosh: 1.0ms (35.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory
-17.5MiB live, 21.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
29.0ms
8.783569540779715e+50
2.7319900685269066e+54
Samples
24.0ms128×0valid
Compiler

Compiled 331 to 253 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 18.0ms (87.6% of total)
ival-div: 2.0ms (9.7% of total)
ival-cosh: 1.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
1.0ms
7.1247858873256105e+75
5.470663276241133e+81
Compiler

Compiled 215 to 169 computations (21.4% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.652056185671854e-93
2.0937753992215452e-92
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch5.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
5.0ms
3.372502077647366e-56
1.248864105563582e-50
Samples
2.0ms48×0valid
Compiler

Compiled 179 to 121 computations (32.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 1.0ms (72.8% 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)

bsearch34.0ms (0.3%)

Memory
-16.8MiB live, 22.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
32.0ms
1.1563897462558063e+143
4.3894124015438295e+147
Samples
27.0ms128×0valid
Compiler

Compiled 427 to 309 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (52% of total)
ival-mult: 1.0ms (26% of total)
ival-cosh: 1.0ms (26% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
1.0ms
7.1247858873256105e+75
5.470663276241133e+81
Compiler

Compiled 317 to 229 computations (27.8% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
1.0ms
7.1247858873256105e+75
5.470663276241133e+81
Compiler

Compiled 359 to 253 computations (29.5% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.652056185671854e-93
2.0937753992215452e-92
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2710008050300633e+293
3.7138847001083223e+294
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch12.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.248864105563582e-50
8.593316186192672e-49
Samples
6.0ms112×0valid
Compiler

Compiled 501 to 356 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-cosh: 2.0ms (54.2% of total)
ival-div: 1.0ms (27.1% of total)
ival-mult: 1.0ms (27.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.248864105563582e-50
8.593316186192672e-49
Compiler

Compiled 550 to 391 computations (28.9% saved)

bsearch2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
2.0ms
2.002952131174644e-30
5.305584614934147e-27
Samples
1.0ms16×0valid
Compiler

Compiled 65 to 51 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
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)

bsearch18.0ms (0.2%)

Memory
-34.7MiB live, 4.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
17.0ms
1740424.551647574
1139101469.306533
Samples
16.0ms16×0valid
Compiler

Compiled 76 to 60 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 15.0ms (94.4% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-cosh: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
23.7MiB live, 23.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.052359988600634844
62.259512239079626
Samples
7.0ms128×0valid
Compiler

Compiled 443 to 333 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (44.5% of total)
ival-cosh: 2.0ms (44.5% of total)
ival-mult: 1.0ms (22.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Memory
-21.7MiB live, 19.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
32.0ms
0.052359988600634844
62.259512239079626
Samples
27.0ms112×0valid
Compiler

Compiled 403 to 301 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 22.0ms (89.1% of total)
ival-cosh: 2.0ms (8.1% of total)
ival-div: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.052359988600634844
62.259512239079626
Compiler

Compiled 483 to 349 computations (27.7% saved)

bsearch4.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
4.0ms
0.052359988600634844
62.259512239079626
Samples
2.0ms32×0valid
Compiler

Compiled 299 to 245 computations (18.1% 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)

simplify57.0ms (0.5%)

Memory
7.0MiB live, 46.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01851165
12531165
24161151
311591139
455321139
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z))))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968 binary64)) (*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (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) x #s(literal 1 binary64)))) (*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)))
(if (<=.f64 x #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)))
(if (<=.f64 x #s(literal 6999999999999999952546640720531395835231959093608448 binary64)) (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 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) x) z))
(if (<=.f64 x #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 2348542582773833/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) #s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.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 y #s(literal 1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z) (/.f64 (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y)) z) x))
(if (<=.f64 y #s(literal 175000000000000004155450662763943437546515137370019382807856373017291550169853600199431084937814576472635544598422020313263847304730764275351552 binary64)) (/.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) x) z) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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) z) x))
(if (<=.f64 x #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) y) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)))
(if (<=.f64 x #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) (/.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) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 2348542582773833/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) #s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x))) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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) z) x))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z) #s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)))
(if (<=.f64 y #s(literal 5792176041770645/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z) #s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (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)))
(if (<=.f64 y #s(literal 5792176041770645/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z) #s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) x)))
(if (<=.f64 x #s(literal 178405961588245/44601490397061246283071436545296723011960832 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (fma.f64 y (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y x)))) z))
(if (<=.f64 x #s(literal 2000000 binary64)) #s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z))
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z))
(if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) y)) z))
(if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) #s(approx (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x))))
(if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
Outputs
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z))))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) (pow.f64 (/.f64 x (/.f64 (*.f64 y (cosh.f64 x)) z)) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968 binary64)) (*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (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) x #s(literal 1 binary64)))) (*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)))
(if (<=.f64 x #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)))
(if (<=.f64 x #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) #s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) z) x) y)))
(if (<=.f64 x #s(literal 6999999999999999952546640720531395835231959093608448 binary64)) (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 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) x) z))
(if (<=.f64 x #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)))
(if (<=.f64 x #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) #s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) z) x) y)))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 2348542582773833/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) #s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 (*.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) (*.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 y #s(literal 1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z) (/.f64 (/.f64 #s(approx (* (cosh x) y) (fma.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y)) z) x))
(if (<=.f64 y #s(literal 175000000000000004155450662763943437546515137370019382807856373017291550169853600199431084937814576472635544598422020313263847304730764275351552 binary64)) (/.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) x) z) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (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) z) x))
(if (<=.f64 x #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) y) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)))
(if (<=.f64 x #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (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) x #s(literal 1 binary64))) y) (*.f64 z x)) #s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (*.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)) z) x) y)))
(if (<=.f64 x #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) (/.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) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)))
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#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ 1 (/ (neg x) (/ (* (neg y) (cosh x)) z))) (/.f64 y (*.f64 z x)))

soundness2.7s (25.4%)

Memory
11.6MiB live, 1 799.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070214
1201210
2600198
31414192
42105192
52771190
63308190
74809186
85455186
95925186
106457186
117745186
08026168
050363
080363
1316357
22184357
08436357
0202902
1669888
22232806
35381783
08302727
0198714
1649702
22174653
35205621
08673571
040264
071264
1267258
21814258
08615258
0719
01119
13619
220819
3216119
0868719
046289
075289
1299285
22196285
08228281
0174752
1535748
21657686
34964662
08284613
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 2 358 to 933 computations (60.4% saved)

preprocess689.0ms (6.5%)

Memory
4.6MiB live, 679.1MiB allocated
Compiler

Compiled 2 842 to 634 computations (77.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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