Linear.Quaternion:$ctan from linear-1.19.1.3

Time bar (total: 5.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze57.0ms (1%)

Memory
-1.9MiB live, 21.7MiB 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)

sample610.0ms (10.8%)

Memory
12.8MiB live, 210.1MiB allocated
Samples
398.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 240.0ms
ival-div: 106.0ms (44.1% of total)
ival-cosh: 82.0ms (34.1% of total)
ival-mult: 44.0ms (18.3% of total)
ival-true: 5.0ms (2.1% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

explain64.0ms (1.1%)

Memory
-15.3MiB live, 36.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
370-0-(*.f64 (cosh.f64 x) (/.f64 y x))
130-0-(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
00-0-(/.f64 y x)
00-0-y
00-0-(cosh.f64 x)
00-0-z
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (cosh.f64 x) (/.f64 y x))o*u370
↳(cosh.f64 x)overflow141
↳(/.f64 y x)underflow37
/.f64(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)o/n130
↳(cosh.f64 x)overflow141
↳(/.f64 y x)overflow39
↳(*.f64 (cosh.f64 x) (/.f64 y x))overflow180
Confusion
Predicted +Predicted -
+500
-0206
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5000
-00206
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0206
150
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
16.34716796875
Average Time
0.06385612487792969
Samples
28.0ms512×0valid
Compiler

Compiled 78 to 32 computations (59% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 7.0ms (45.4% of total)
ival-cosh: 5.0ms (32.4% of total)
ival-mult: 3.0ms (19.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess124.0ms (2.2%)

Memory
4.5MiB live, 11.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03187
110675
233675
3123175
4425575
5756275
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
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶80.7%
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify76.0ms (1.3%)

Memory
-2.6MiB live, 4.7MiB 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

localize18.0ms (0.3%)

Memory
0.1MiB live, 7.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y x)
accuracy0
(cosh.f64 x)
accuracy3.1117216352318704
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
accuracy7.375000000000001
(*.f64 (cosh.f64 x) (/.f64 y x))
Samples
13.0ms256×0valid
Compiler

Compiled 46 to 16 computations (65.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (42.2% of total)
ival-cosh: 2.0ms (28.2% of total)
ival-mult: 1.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.4%)

Memory
-1.2MiB live, 7.7MiB 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
6.0ms
z
@inf
((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x))
3.0ms
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
x
@inf
((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x))
2.0ms
z
@0
((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x))

simplify176.0ms (3.1%)

Memory
7.0MiB live, 37.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070214
1201210
2600198
31414192
42105192
52771190
63308190
74809186
85457186
95927186
106459186
117747186
08030168
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))

rewrite96.0ms (1.7%)

Memory
-5.0MiB live, 34.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
01119
13619
220819
3216119
0857119
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 385
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 (/.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 (/.f64 (neg.f64 z) (cosh.f64 x)) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.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 z (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 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 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) (*.f64 (/.f64 y x) #s(literal 1/2 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 (/.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 (/.f64 (neg.f64 (cosh.f64 x)) z) (/.f64 (neg.f64 y) 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 #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)) (*.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 (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y 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 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) z)))
(*.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) 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) 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) z)))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
(*.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) z) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (/.f64 (neg.f64 y) x) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (cosh.f64 x) x) (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 (cosh.f64 x)) z))
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 z))))
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) z))))
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x y) z) #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (*.f64 (/.f64 x y) #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) z))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) z)))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 z x))))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) x) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -2 binary64) x))))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) x))))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) x) #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) z)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 z) x))))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal 2 binary64) x))))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 (cosh.f64 x) x)))
(*.f64 (/.f64 (/.f64 y x) z) (cosh.f64 x))
(*.f64 (*.f64 y (cosh.f64 x)) (pow.f64 (*.f64 z x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) z))
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(/.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)))
(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 (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 (/.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.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 #s(literal 0 binary64) (/.f64 y x))

eval36.0ms (0.6%)

Memory
2.3MiB live, 32.8MiB allocated
Compiler

Compiled 5 713 to 1 084 computations (81% saved)

prune11.0ms (0.2%)

Memory
3.0MiB live, 18.7MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New38911400
Fresh000
Picked011
Done000
Total38912401
Accuracy
100.0%
Counts
401 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓80.7%
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
71.4%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
▶61.6%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
83.3%
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
44.0%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
59.4%
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
▶88.3%
(/.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)
▶84.9%
(/.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)
▶45.1%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
▶58.5%
#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)))
75.7%
#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)))
87.3%
#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 438 to 305 computations (30.4% saved)

simplify135.0ms (2.4%)

Memory
-0.1MiB live, 30.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
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-diff320
(/.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
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x))
cost-diff0
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
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)) (/.f64 y z))
cost-diff0
#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)))
cost-diff-384
(/.f64 y (*.f64 z x))
cost-diff0
(*.f64 z x)
cost-diff0
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
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
(*.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)
cost-diff0
#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))
cost-diff0
(/.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)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038362
067362
1121362
2197362
3408362
4860362
52070362
63800354
75525354
86514354
96665354
106869354
117166354
08035346
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.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)
#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))
(*.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)
(/.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)
(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 y (*.f64 z x)))
(/.f64 y (*.f64 z x))
y
(*.f64 z x)
z
x
#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 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))
(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)
(/.f64 y z)
y
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)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 y x)
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
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 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x))) y)) z)
#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))
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x))) y))
(*.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)
(*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x))) y)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) 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 (*.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 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y x) z))
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
y
(*.f64 z x)
z
x
#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 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))
(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)
(/.f64 y z)
y
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)
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x))
(*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 y x)
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 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #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 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #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)) x (/.f64 #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)) x (/.f64 #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

localize95.0ms (1.7%)

Memory
-6.0MiB live, 37.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.8833729820044731
(/.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)
accuracy2.9660825767137773
(*.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)
accuracy3.1117216352318704
(/.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)
accuracy11.694895234849376
#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))
accuracy0
(*.f64 x x)
accuracy3.1117216352318704
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
accuracy7.375000000000001
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x))
accuracy18.216572230518917
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy0
(/.f64 y z)
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy5.313887781158084
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))
accuracy24.721193675618164
#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)))
accuracy0
(*.f64 z x)
accuracy4.29337108009924
(/.f64 y (*.f64 z x))
accuracy32.69370265002371
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
accuracy1.0636102500659088
(*.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)
accuracy2.0432977368036584
(/.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)
accuracy3.1117216352318704
(/.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)
accuracy7.857611715300909
#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))
Samples
71.0ms256×0valid
Compiler

Compiled 636 to 75 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 19.0ms (36.5% of total)
ival-mult: 17.0ms (32.7% of total)
ival-add: 7.0ms (13.5% of total)
const: 5.0ms (9.6% of total)
ival-cosh: 3.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series36.0ms (0.6%)

Memory
5.3MiB live, 20.2MiB allocated
Counts
22 → 58
Calls
Call 1
Inputs
(/.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)
#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))
(*.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)
(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 y (*.f64 z x)))
(*.f64 z x)
(/.f64 y (*.f64 z x))
#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 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.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 #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 (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)
(/.f64 y z)
(*.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 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)))))))
(* x z)
(/ 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)
(pow x 2)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/720 (* (pow x 5) y))
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* 1/720 (pow x 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))))))
(* 1/2 (/ (* x y) z))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 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)))))
(* 1/24 (* (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)))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/24)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(/ (* y (+ (* 1/2 x) (/ 1 x))) z)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
(/ y z)
Calls

9 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* z x) (/ y (* z x)) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (/ 1 x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ y z) (* x x))
6.0ms
y
@0
((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* z x) (/ y (* z x)) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (/ 1 x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ y z) (* x x))
4.0ms
x
@-inf
((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* z x) (/ y (* z x)) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (/ 1 x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ y z) (* x x))
4.0ms
y
@-inf
((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* z x) (/ y (* z x)) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (/ 1 x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ y z) (* x x))
3.0ms
z
@-inf
((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (cosh x) (/ y x)) z) (* z x) (/ y (* z x)) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (/ 1 x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ y z) (* x x))

simplify127.0ms (2.2%)

Memory
4.5MiB live, 39.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0197821
1633813
22049766
35090743
08148704
Stop Event
1×iter limit
1×node limit
Counts
58 → 58
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)))))))
(* x z)
(/ 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)
(pow x 2)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/720 (* (pow x 5) y))
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* 1/720 (pow x 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))))))
(* 1/2 (/ (* x y) z))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 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)))))
(* 1/24 (* (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)))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/24)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(/ (* y (+ (* 1/2 x) (/ 1 x))) z)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
(/ y z)
Outputs
(/ y (* x z))
(/.f64 (/.f64 y z) x)
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.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 (*.f64 (/.f64 y z) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64)) (/.f64 y z))) x)
(/ y x)
(/.f64 y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y x))
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(*.f64 (/.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))
(* x z)
(*.f64 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)
(pow x 2)
(*.f64 x x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 y x)) #s(literal 1/2 binary64))
(* 1/720 (* (pow x 5) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64)) y)
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(*.f64 (*.f64 y (+.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 5 binary64)))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(*.f64 (fma.f64 y (+.f64 (+.f64 (/.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))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 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))
(* 1/2 (/ (* x y) z))
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) 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))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(*.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 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #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 3) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/24 binary64))
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* 1/720 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64))
(* (pow x 5) (+ 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 5 binary64)))
(* (pow x 5) (+ 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 5 binary64)))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/720 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(*.f64 (*.f64 y (+.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 5 binary64)))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(*.f64 (fma.f64 y (+.f64 (+.f64 (/.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))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/24)))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) x) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) 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)
(/ (* y (+ (* 1/2 x) (/ 1 x))) z)
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)
(/ y z)
(/.f64 y z)

rewrite144.0ms (2.6%)

Memory
0.4MiB live, 56.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038293
067293
1259293
21796293
08500293
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 671
Calls
Call 1
Inputs
(/.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)
#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))
(*.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)
(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 y (*.f64 z x)))
(*.f64 z x)
(/.f64 y (*.f64 z x))
#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 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.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 #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 (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)
(/.f64 y z)
(*.f64 x x)
Outputs
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y)))
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y)) (neg.f64 z)))
(*.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y)) z))
(pow.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))) #s(literal -1 binary64))
(/.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y)))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y)) z)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))))
(neg.f64 (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y)) (neg.f64 z)))
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(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 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))) x) (/.f64 (pow.f64 (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(literal -1 binary64)) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (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))
(exp.f64 (*.f64 (log.f64 (/.f64 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(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 y z)
(neg.f64 (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval94.0ms (1.7%)

Memory
-0.9MiB live, 69.7MiB allocated
Compiler

Compiled 24 228 to 3 003 computations (87.6% saved)

prune32.0ms (0.6%)

Memory
-0.6MiB live, 41.1MiB allocated
Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New74422766
Fresh156
Picked325
Done011
Total74830778
Accuracy
100.0%
Counts
778 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.0%
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) z) x)
▶74.4%
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
✓80.7%
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
71.4%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
65.3%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
26.9%
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z)
83.3%
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
73.8%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (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 x y))) z)
▶88.4%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x)) z)
86.1%
(/.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)) y) x)) z)
44.0%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
74.7%
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (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 y x))) z)
59.4%
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
✓88.3%
(/.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)
56.8%
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
65.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)))
88.1%
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))))
64.1%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
59.2%
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
61.5%
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) z))
88.3%
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))) (/.f64 #s(literal -1 binary64) z))
57.6%
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 z x))))
49.8%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
▶83.0%
#s(approx (/ (* (cosh x) (/ y 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))
✓45.1%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
58.5%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
87.3%
#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))
49.8%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
▶23.3%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
▶63.1%
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
Compiler

Compiled 1 181 to 837 computations (29.1% saved)

simplify149.0ms (2.6%)

Memory
-3.2MiB live, 32.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
045426
073426
1136426
2262426
3661426
42025426
54242423
66170421
77583421
87693421
97853421
08002416
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x))
(/.f64 (*.f64 (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)) y) x)
(*.f64 (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)) y)
(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 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
z
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))
#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
(/.f64 y z)
y
z
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
#s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z)
(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)
z
y
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x)
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
y
z
#s(approx (/ (* (cosh x) (/ y 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)
Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)) y)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x))
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)) y))
(/.f64 (*.f64 (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)) y) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (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)) y)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
(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 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
z
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))
(*.f64 (/.f64 y z) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))
#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
(/.f64 y z)
y
z
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
#s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z)
(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)
z
y
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
(*.f64 (/.f64 (/.f64 y z) x) #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 y x))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
y
z
#s(approx (/ (* (cosh x) (/ y 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 (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y z) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #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 (/.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) 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 #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)

localize92.0ms (1.6%)

Memory
2.1MiB live, 40.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.10546875
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy4.669921541852041
(*.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)))
accuracy5.764330241806268
(/.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)
accuracy11.910824042312719
#s(approx (/ (* (cosh x) (/ y 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))
accuracy0
(*.f64 x x)
accuracy0.0078125
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)
accuracy3.1117216352318704
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
accuracy18.216572230518917
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy0
#s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y))
accuracy0.0703125
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z)
accuracy6.960728209908442
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)
accuracy24.721193675618164
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy5.313887781158084
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))
accuracy24.721193675618164
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
accuracy27.983535202772888
#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))
accuracy0.4891054302423976
(/.f64 (*.f64 (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)) y) x)
accuracy1.2157776445224497
(*.f64 (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)) y)
accuracy3.1117216352318704
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x)) z)
accuracy7.857611715300909
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x))
Samples
67.0ms256×0valid
Compiler

Compiled 741 to 87 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 18.0ms (37.5% of total)
ival-div: 12.0ms (25% of total)
ival-add: 7.0ms (14.6% of total)
const: 6.0ms (12.5% of total)
ival-cosh: 4.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series39.0ms (0.7%)

Memory
-2.5MiB live, 21.5MiB allocated
Counts
23 → 67
Calls
Call 1
Inputs
(/.f64 (*.f64 (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)) y) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x))
(*.f64 (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)) y)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))
#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
#s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x)
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (* (cosh x) (/ y 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 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)
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x 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)
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
Outputs
(/ 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)
(/ 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
(+ 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 x)
(/ (+ 1 (* 1/2 (pow x 2))) x)
(* 1/2 x)
(/ 1 (* x z))
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) 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 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
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/720 (* (pow x 5) y))
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/720 (* (pow x 6) y))
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* 1/2 (/ (* x y) z))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(* x (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (/ x z))
(* x (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 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)))))
(* 1/24 (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)))))
(* 1/24 (/ (* (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 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(* -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 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
(/ (* y (+ (* 1/2 x) (/ 1 x))) z)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))
(/ (+ (* 1/2 x) (/ 1 x)) z)
Calls

9 calls:

TimeVariablePointExpression
9.0ms
y
@0
((/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (* 1/2 x) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (* (/ (+ (* 1/2 x) (/ 1 x)) z) y) (/ (+ (* 1/2 x) (/ 1 x)) z) (/ (/ (* (cosh x) y) x) z) (/ (* (cosh x) y) x) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* x x) (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (+ (* 1/24 (* x x)) 1/2))
5.0ms
y
@-inf
((/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (* 1/2 x) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (* (/ (+ (* 1/2 x) (/ 1 x)) z) y) (/ (+ (* 1/2 x) (/ 1 x)) z) (/ (/ (* (cosh x) y) x) z) (/ (* (cosh x) y) x) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* x x) (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (+ (* 1/24 (* x x)) 1/2))
4.0ms
z
@-inf
((/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (* 1/2 x) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (* (/ (+ (* 1/2 x) (/ 1 x)) z) y) (/ (+ (* 1/2 x) (/ 1 x)) z) (/ (/ (* (cosh x) y) x) z) (/ (* (cosh x) y) x) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* x x) (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (+ (* 1/24 (* x x)) 1/2))
4.0ms
x
@-inf
((/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (* 1/2 x) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (* (/ (+ (* 1/2 x) (/ 1 x)) z) y) (/ (+ (* 1/2 x) (/ 1 x)) z) (/ (/ (* (cosh x) y) x) z) (/ (* (cosh x) y) x) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* x x) (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (+ (* 1/24 (* x x)) 1/2))
4.0ms
y
@inf
((/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (* 1/2 x) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (* (/ (+ (* 1/2 x) (/ 1 x)) z) y) (/ (+ (* 1/2 x) (/ 1 x)) z) (/ (/ (* (cosh x) y) x) z) (/ (* (cosh x) y) x) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* x x) (/ (* (/ y z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (+ (* 1/24 (* x x)) 1/2))

simplify137.0ms (2.4%)

Memory
6.5MiB live, 44.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0191963
1614951
21959868
34835829
08282778
Stop Event
1×iter limit
1×node limit
Counts
67 → 66
Calls
Call 1
Inputs
(/ 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)
(/ 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
(+ 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 x)
(/ (+ 1 (* 1/2 (pow x 2))) x)
(* 1/2 x)
(/ 1 (* x z))
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) 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 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
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/720 (* (pow x 5) y))
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/720 (* (pow x 6) y))
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* 1/2 (/ (* x y) z))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(* x (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (/ x z))
(* x (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 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)))))
(* 1/24 (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)))))
(* 1/24 (/ (* (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 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(* -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 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
(/ (* y (+ (* 1/2 x) (/ 1 x))) z)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))
(/ (+ (* 1/2 x) (/ 1 x)) z)
Outputs
(/ 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 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)
(/ y (* x z))
(/.f64 (/.f64 y z) x)
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.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)) y) z) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/.f64 (fma.f64 (*.f64 (/.f64 y z) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64)) (/.f64 y z))) x)
y
(+ y (* 1/2 (* (pow x 2) y)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
(/ 1 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)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(/ 1 (* x z))
(/.f64 (/.f64 #s(literal 1 binary64) z) x)
(/ (+ (* 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)
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 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)
(pow x 2)
(*.f64 x x)
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))
(* 1/720 (* (pow x 5) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) #s(literal 1/720 binary64))
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(*.f64 (*.f64 y (+.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) x) x) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 (/.f64 #s(literal 1/24 binary64) x) x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(*.f64 (fma.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 (/.f64 #s(literal 1/24 binary64) x) x)) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) x) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/720 (* (pow x 6) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) y) #s(literal 1/720 binary64))
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(*.f64 (*.f64 y (+.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) x) x) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 (/.f64 #s(literal 1/24 binary64) x) x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(*.f64 (fma.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 (/.f64 #s(literal 1/24 binary64) x) x)) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/2 (/ (* x y) z))
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)
(* x (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))
(* 1/2 (/ x z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) x)
(* x (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) x (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(* 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))
(* 1/24 (/ (* (pow x 4) y) z))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) z) #s(literal 1/24 binary64))
(* (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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64)))
(* 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))
(* 1/24 (/ (* (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) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))
(*.f64 (*.f64 (/.f64 y z) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #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 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 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(*.f64 (*.f64 y (+.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) x) x) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 (/.f64 #s(literal 1/24 binary64) x) x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(*.f64 (fma.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 (/.f64 #s(literal 1/24 binary64) x) x)) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y 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 3 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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) 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)) y) x)
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
(/ (* y (+ (* 1/2 x) (/ 1 x))) z)
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) 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)
(/ (* 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)) y) z) x)
(/ (+ (* 1/2 x) (/ 1 x)) z)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z)

rewrite168.0ms (3%)

Memory
-0.8MiB live, 68.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045342
073342
1273342
21999342
08606342
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 929
Calls
Call 1
Inputs
(/.f64 (*.f64 (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)) y) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x))
(*.f64 (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)) y)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))
#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
#s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x)
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (* (cosh x) (/ y 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 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)
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x 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)
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
Outputs
(*.f64 (/.f64 (*.f64 y (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 #s(literal -1 binary64) x))
(*.f64 (/.f64 (neg.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 y x))
(*.f64 (/.f64 (fma.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)) #s(literal -1 binary64)) x) (/.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)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (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 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (/.f64 (pow.f64 (-.f64 (fma.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)) #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)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.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))
(*.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)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.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))
(*.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) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.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) (/.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.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)) #s(literal -1 binary64)) (/.f64 y x)) (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 (fma.f64 (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 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 y x)) (pow.f64 (-.f64 (fma.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)) #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 (*.f64 y (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 #s(literal -1 binary64) 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)) #s(literal 1 binary64)) (/.f64 y x))
(*.f64 (*.f64 (*.f64 y (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)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (neg.f64 y) (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 x #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.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)) #s(literal -1 binary64)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.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)) (neg.f64 x))))
(*.f64 (*.f64 (fma.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)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (*.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)))
(*.f64 (*.f64 (fma.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)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.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)) (/.f64 x y))))
(*.f64 (*.f64 (fma.f64 (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 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.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)) #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)) (neg.f64 x))))
(*.f64 (*.f64 (fma.f64 (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 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.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)) #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)) x)))
(*.f64 (*.f64 (fma.f64 (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 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.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)) #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 x y))))
(*.f64 (*.f64 (neg.f64 y) (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(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (*.f64 y (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 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 y (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)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y (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 (/.f64 y 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)) #s(literal 1 binary64)))
(*.f64 (/.f64 y 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 (/.f64 (*.f64 y (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) #s(literal 1 binary64))
(*.f64 (*.f64 y (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 x #s(literal -1 binary64)))
(*.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.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)) (/.f64 y x))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (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))
(pow.f64 (/.f64 x (*.f64 y (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 (neg.f64 (*.f64 (fma.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)) #s(literal -1 binary64)) (/.f64 y x))) (neg.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))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (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 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 y x))) (neg.f64 (-.f64 (fma.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)) #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 (*.f64 y (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 (neg.f64 x)))
(/.f64 (neg.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)) #s(literal 1 binary64))) (neg.f64 (/.f64 x y)))
(/.f64 (neg.f64 (*.f64 (*.f64 y (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 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) (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 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (fma.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)) #s(literal -1 binary64)) (neg.f64 y))) (neg.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)) (neg.f64 x))))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64))) (neg.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))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)) (+.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)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))))
(/.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)))

eval124.0ms (2.2%)

Memory
2.8MiB live, 96.4MiB allocated
Compiler

Compiled 37 777 to 4 227 computations (88.8% saved)

prune40.0ms (0.7%)

Memory
-3.0MiB live, 54.6MiB allocated
Pruning

37 alts after pruning (30 fresh and 7 done)

PrunedKeptTotal
New1 044191 063
Fresh111122
Picked145
Done033
Total1 056371 093
Accuracy
100.0%
Counts
1 093 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.0%
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z) x)
✓74.4%
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
✓80.7%
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
71.4%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
65.3%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) (*.f64 z x))
26.9%
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z)
83.3%
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
73.8%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (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 x y))) z)
✓88.4%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x)) z)
44.0%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
74.7%
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (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 y x))) z)
✓88.3%
(/.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)
▶84.9%
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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)
56.8%
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
88.2%
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (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))))
64.1%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x))
59.2%
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
64.6%
(*.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 x))))
▶88.3%
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))) (/.f64 #s(literal -1 binary64) z))
65.0%
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)))
58.1%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 z y) (/.f64 z y)) (*.f64 (/.f64 z y) (/.f64 z y))) x))
49.8%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
74.7%
#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)) y) (*.f64 z x)))
83.0%
#s(approx (/ (* (cosh x) (/ y 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))
82.9%
#s(approx (/ (* (cosh x) (/ y 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))
23.7%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y) z))
22.2%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 z y)))
✓45.1%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
74.5%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z 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)) y))))
▶23.7%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
71.9%
#s(approx (/ (* (cosh x) (/ y x)) 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)) (/.f64 (/.f64 y z) x)))
73.2%
#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)) z) (/.f64 y x)))
49.8%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
✓23.3%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
23.3%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
✓63.1%
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
▶27.0%
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
Compiler

Compiled 1 584 to 1 093 computations (31% saved)

simplify107.0ms (1.9%)

Memory
4.4MiB live, 27.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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
#s(approx (* (cosh x) (/ y x)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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-diff320
(*.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) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y)
cost-diff0
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z)
cost-diff0
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z) x)
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)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))
cost-diff0
#s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x))
cost-diff0
(*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)
cost-diff0
#s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
cost-diff0
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
cost-diff0
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))
cost-diff0
(neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y)))
cost-diff320
(*.f64 (/.f64 (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) y)
cost-diff448
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))) (/.f64 #s(literal -1 binary64) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061613
094613
1161612
2287606
3575606
41532606
53772595
67475595
08039573
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))) (/.f64 #s(literal -1 binary64) z))
(neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y)))
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))
(*.f64 (/.f64 (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) y)
(/.f64 (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)
(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 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
#s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
(*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)
#s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) x)
(/.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
x
y
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))
#s(literal 1 binary64)
(/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))
z
(*.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
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
y
z
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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
Outputs
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)))) z)
(neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y)))
(neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))
#s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (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) y)
(*.f64 y (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (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 (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)
(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 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
#s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
(*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)
#s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) x)
(/.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
x
y
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.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)) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))
(/.f64 (/.f64 z y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))
z
(*.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
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z) x)
(*.f64 (/.f64 (/.f64 y z) x) #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (/.f64 y z))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
y
z
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) y) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x (/.f64 y x)))) z)
#s(approx (* (cosh x) (/ y x)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) y) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x (/.f64 y x))))
#s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) y) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x (/.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) y)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x (/.f64 y 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)
(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

localize112.0ms (2%)

Memory
-2.4MiB live, 48.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.9660825767137773
(*.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)
accuracy3.1117216352318704
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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)
accuracy7.857611715300909
#s(approx (* (cosh x) (/ y x)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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)))
accuracy11.422140957793104
#s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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))
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0.0078125
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y)
accuracy1.7881767599805753
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z) x)
accuracy18.216572230518917
#s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
accuracy0.28671144192195785
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))
accuracy5.337575737361502
(/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))
accuracy24.721193675618164
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
accuracy27.983535202772888
#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))
accuracy0.1796875
(*.f64 (/.f64 #s(literal 1/2 binary64) z) x)
accuracy6.960728209908442
(*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)
accuracy24.721193675618164
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
accuracy27.882348606396942
#s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x))
accuracy1.0636102500659088
(*.f64 (/.f64 (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) y)
accuracy2.0432977368036584
(/.f64 (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)
accuracy3.1312528852318704
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))) (/.f64 #s(literal -1 binary64) z))
accuracy7.857611715300909
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))
Samples
82.0ms256×0valid
Compiler

Compiled 985 to 116 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 23.0ms (37.7% of total)
ival-div: 21.0ms (34.4% of total)
ival-add: 7.0ms (11.5% of total)
const: 5.0ms (8.2% of total)
ival-cosh: 3.0ms (4.9% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series33.0ms (0.6%)

Memory
-3.5MiB live, 21.1MiB allocated
Counts
24 → 81
Calls
Call 1
Inputs
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (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) y)
(neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y)))
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
#s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
(*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)
#s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.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 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
(*.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 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (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 (/.f64 #s(literal 1/2 binary64) z) x)
(/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/ y 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 (/ y x))
(/ (- (* -1/2 (* (pow x 2) y)) y) x)
(/ (- (* (pow x 2) (- (* -1/24 (* (pow x 2) y)) (* 1/2 y))) y) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (* (pow x 2) y)) (* 1/24 y))) (* 1/2 y))) y) x)
(/ 1 (* x z))
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (pow x 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))
(+ (* (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)))))))
(/ (+ 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)
(* 1/2 (/ x z))
(/ (* x z) y)
(* x (+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y)))
(* x (+ (* (pow x 2) (- (* 1/4 (/ (* (pow x 2) z) y)) (* 1/2 (/ z y)))) (/ z y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (- (* -1/8 (/ (* (pow x 2) z) y)) (* -1/4 (/ z y)))) (* 1/2 (/ z y)))) (/ z y)))
(* 1/2 x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/720 (* (pow x 5) y))
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* -1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* x y) z))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(* x (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ y (pow x 2))))
(* x (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/24 (* (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)))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 2 (/ z (* x y)))
(/ (+ (* -4 (/ z (* (pow x 2) y))) (* 2 (/ z y))) x)
(/ (- (+ (* 2 (/ z y)) (* 8 (/ z (* (pow x 4) y)))) (* 4 (/ z (* (pow x 2) y)))) x)
(/ (- (+ (* -16 (/ z (* (pow x 6) y))) (* 2 (/ z y))) (+ (* -8 (/ z (* (pow x 4) y))) (* 4 (/ z (* (pow x 2) y))))) x)
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(* -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 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
(* -1 (/ (+ (* -2 (/ z y)) (* 4 (/ z (* (pow x 2) y)))) x))
(* -1 (/ (- (+ (* -8 (/ z (* (pow x 4) y))) (* -2 (/ z y))) (* -4 (/ z (* (pow x 2) y)))) x))
(* -1 (/ (- (+ (* -2 (/ z y)) (* 16 (/ z (* (pow x 6) y)))) (+ (* -4 (/ z (* (pow x 2) y))) (* 8 (/ z (* (pow x 4) y))))) x))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(/ (* y (+ (* 1/2 x) (/ 1 x))) z)
(* y (+ (* 1/2 x) (/ 1 x)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
(/ z (* y (+ (* 1/2 x) (/ 1 x))))
(/ (+ (* 1/2 x) (/ 1 x)) z)
Calls

9 calls:

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

simplify141.0ms (2.5%)

Memory
8.8MiB live, 42.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02881250
18981234
227361137
367521118
087351045
Stop Event
1×iter limit
1×node limit
Counts
81 → 80
Calls
Call 1
Inputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/ y 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 (/ y x))
(/ (- (* -1/2 (* (pow x 2) y)) y) x)
(/ (- (* (pow x 2) (- (* -1/24 (* (pow x 2) y)) (* 1/2 y))) y) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (* (pow x 2) y)) (* 1/24 y))) (* 1/2 y))) y) x)
(/ 1 (* x z))
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (pow x 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))
(+ (* (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)))))))
(/ (+ 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)
(* 1/2 (/ x z))
(/ (* x z) y)
(* x (+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y)))
(* x (+ (* (pow x 2) (- (* 1/4 (/ (* (pow x 2) z) y)) (* 1/2 (/ z y)))) (/ z y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (- (* -1/8 (/ (* (pow x 2) z) y)) (* -1/4 (/ z y)))) (* 1/2 (/ z y)))) (/ z y)))
(* 1/2 x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/720 (* (pow x 5) y))
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* -1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* x y) z))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(* x (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ y (pow x 2))))
(* x (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/24 (* (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)))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 2 (/ z (* x y)))
(/ (+ (* -4 (/ z (* (pow x 2) y))) (* 2 (/ z y))) x)
(/ (- (+ (* 2 (/ z y)) (* 8 (/ z (* (pow x 4) y)))) (* 4 (/ z (* (pow x 2) y)))) x)
(/ (- (+ (* -16 (/ z (* (pow x 6) y))) (* 2 (/ z y))) (+ (* -8 (/ z (* (pow x 4) y))) (* 4 (/ z (* (pow x 2) y))))) x)
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(* -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 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
(* -1 (/ (+ (* -2 (/ z y)) (* 4 (/ z (* (pow x 2) y)))) x))
(* -1 (/ (- (+ (* -8 (/ z (* (pow x 4) y))) (* -2 (/ z y))) (* -4 (/ z (* (pow x 2) y)))) x))
(* -1 (/ (- (+ (* -2 (/ z y)) (* 16 (/ z (* (pow x 6) y)))) (+ (* -4 (/ z (* (pow x 2) y))) (* 8 (/ z (* (pow x 4) y))))) x))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(/ (* y (+ (* 1/2 x) (/ 1 x))) z)
(* y (+ (* 1/2 x) (/ 1 x)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)
(/ z (* y (+ (* 1/2 x) (/ 1 x))))
(/ (+ (* 1/2 x) (/ 1 x)) z)
Outputs
(/ y (* x z))
(/.f64 (/.f64 y z) x)
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/.f64 (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 y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/.f64 (fma.f64 (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 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 (*.f64 x x) #s(literal 1/24 binary64) #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 (*.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) y)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(/ (- (* -1/2 (* (pow x 2) y)) y) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (/.f64 (neg.f64 y) x))
(/ (- (* (pow x 2) (- (* -1/24 (* (pow x 2) y)) (* 1/2 y))) y) x)
(fma.f64 (*.f64 y (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x (/.f64 (neg.f64 y) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (* (pow x 2) y)) (* 1/24 y))) (* 1/2 y))) y) x)
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 x x) (*.f64 #s(literal -1/2 binary64) y)) x (/.f64 (neg.f64 y) x))
(/ 1 (* x z))
(/.f64 (/.f64 #s(literal 1 binary64) z) x)
(/ (+ (* 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)
(/ 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)
(/ 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))
(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 y z))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
(fma.f64 (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))))))
(*.f64 (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)) 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))
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 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)
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x)
(/.f64 (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)
(* 1/2 (/ x z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) x)
(/ (* x z) y)
(*.f64 (/.f64 z y) x)
(* x (+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y)))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) (/.f64 z y)) x)
(* x (+ (* (pow x 2) (- (* 1/4 (/ (* (pow x 2) 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 1/4 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (- (* -1/8 (/ (* (pow x 2) z) y)) (* -1/4 (/ 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 (*.f64 (/.f64 z y) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 x x)))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 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))
(* 1/720 (* (pow x 5) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64)) y)
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(* -1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 y x)) #s(literal -1/2 binary64))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (/ (* x y) z))
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))
(fma.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64) (/.f64 (/.f64 y z) x))
(* x (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) x (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(* 1/2 (* x y))
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
(* x (+ (* 1/2 y) (/ y (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)
(* x (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) 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)))))
(*.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))
(* 1/24 (* (pow x 3) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/24 binary64))
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* 1/720 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64))
(* (pow x 5) (+ 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 5 binary64)))
(* (pow x 5) (+ 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 5 binary64)))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/720 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(* 2 (/ z (* x y)))
(*.f64 (/.f64 (/.f64 z y) x) #s(literal 2 binary64))
(/ (+ (* -4 (/ z (* (pow x 2) y))) (* 2 (/ z y))) x)
(/.f64 (*.f64 (/.f64 z y) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) x)
(/ (- (+ (* 2 (/ z y)) (* 8 (/ z (* (pow x 4) y)))) (* 4 (/ z (* (pow x 2) y)))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) (/.f64 z x) (*.f64 (/.f64 z y) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 4 binary64)))))) x)
(/ (- (+ (* -16 (/ z (* (pow x 6) y))) (* 2 (/ z y))) (+ (* -8 (/ z (* (pow x 4) y))) (* 4 (/ z (* (pow x 2) y))))) x)
(/.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)))) x)
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))
(fma.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64) (/.f64 (/.f64 y z) x))
(* -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 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (+ (* -2 (/ z y)) (* 4 (/ z (* (pow x 2) y)))) x))
(/.f64 (*.f64 (/.f64 z y) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) x)
(* -1 (/ (- (+ (* -8 (/ z (* (pow x 4) y))) (* -2 (/ z y))) (* -4 (/ z (* (pow x 2) y)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) (/.f64 z x) (*.f64 (/.f64 z y) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 4 binary64)))))) x)
(* -1 (/ (- (+ (* -2 (/ z y)) (* 16 (/ z (* (pow x 6) y)))) (+ (* -4 (/ z (* (pow x 2) y))) (* 8 (/ z (* (pow x 4) y))))) x))
(/.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)))) x)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(*.f64 (/.f64 (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) y)
(/ (* y (+ (* 1/2 x) (/ 1 x))) z)
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)
(* 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 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)
(/ z (* y (+ (* 1/2 x) (/ 1 x))))
(/.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y))
(/ (+ (* 1/2 x) (/ 1 x)) z)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z)

rewrite165.0ms (2.9%)

Memory
-5.7MiB live, 56.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061501
094501
1324496
22149496
08527485
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 577
Calls
Call 1
Inputs
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (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) y)
(neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y)))
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
#s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
(*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)
#s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.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 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
(*.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 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (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 (/.f64 #s(literal 1/2 binary64) z) x)
(/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(*.f64 (/.f64 (neg.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))) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.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)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.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) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.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)))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 (neg.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))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) #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)))
(*.f64 (neg.f64 (neg.f64 (neg.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))))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 (neg.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)))) (pow.f64 z #s(literal -1 binary64)))
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(*.f64 (neg.f64 z) (pow.f64 (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 z y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
(*.f64 z (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))
(/.f64 (neg.f64 (/.f64 z y)) (neg.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))) y)
(/.f64 (/.f64 z y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (/.f64 z (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64))
(/.f64 (neg.f64 z) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
(/.f64 (neg.f64 z) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 z) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 (/.f64 z y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 z (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))
(/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y) (*.f64 z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
(neg.f64 (/.f64 z (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 z (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 z (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 z y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 z y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 z y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))

eval69.0ms (1.2%)

Memory
2.8MiB live, 61.3MiB allocated
Compiler

Compiled 23 867 to 2 527 computations (89.4% saved)

prune37.0ms (0.6%)

Memory
1.3MiB live, 43.6MiB allocated
Pruning

41 alts after pruning (31 fresh and 10 done)

PrunedKeptTotal
New6408648
Fresh22325
Picked145
Done167
Total64441685
Accuracy
100.0%
Counts
685 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.4%
(/.f64 (/.f64 (*.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))) y) z) x)
✓79.0%
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z) x)
✓74.4%
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
✓80.7%
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
71.4%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
65.3%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) (*.f64 z x))
26.9%
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z)
83.3%
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
49.8%
(/.f64 #s(approx (/ (* (cosh x) y) z) (/.f64 y z)) x)
73.8%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (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 x y))) z)
✓88.4%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x)) z)
44.0%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
74.7%
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (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 y x))) z)
✓88.3%
(/.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)
✓84.9%
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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)
56.8%
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z))
88.2%
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (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))))
64.1%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x))
59.2%
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
64.6%
(*.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 x))))
73.8%
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))))) (/.f64 #s(literal -1 binary64) z))
86.4%
(*.f64 #s(approx (neg (* (cosh x) (/ y x))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 x x) (*.f64 #s(literal -1/2 binary64) y)) x (/.f64 (neg.f64 y) x))) (/.f64 #s(literal -1 binary64) z))
65.0%
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)))
58.1%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 z y) (/.f64 z y)) (*.f64 (/.f64 z y) (/.f64 z y))) x))
74.7%
#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)) y) (*.f64 z x)))
83.0%
#s(approx (/ (* (cosh x) (/ y 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))
82.9%
#s(approx (/ (* (cosh x) (/ y 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))
23.7%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y) z))
22.2%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 z y)))
25.9%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
✓45.1%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
74.5%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z 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)) y))))
✓23.7%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
49.4%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (+ (* 1/2 x) (/ 1 x)) y)) (*.f64 (/.f64 z y) x))))
71.9%
#s(approx (/ (* (cosh x) (/ y x)) 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)) (/.f64 (/.f64 y z) x)))
73.2%
#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)) z) (/.f64 y x)))
27.0%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) z) y))
23.7%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
✓23.3%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
23.3%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
✓27.0%
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
Compiler

Compiled 2 386 to 936 computations (60.8% saved)

regimes78.0ms (1.4%)

Memory
-1.7MiB live, 33.5MiB allocated
Counts
61 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.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)
(/.f64 #s(approx (/ (* (cosh x) y) z) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (+ (* 1/2 x) (/ 1 x)) y)) (*.f64 (/.f64 z y) x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 z y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) (*.f64 z x))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
#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 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) 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)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) z) x)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z) x)
(*.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 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)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) z))
#s(approx (/ (* (cosh x) (/ y 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 (/ (* (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))
#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)) z) (/.f64 y x)))
#s(approx (/ (* (cosh x) (/ y x)) 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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (cosh x) (/ y 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 (/ (* (cosh x) (/ y 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))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 #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 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z 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)) y))))
#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 #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 (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 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x)) z)
(/.f64 (/.f64 (*.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))) y) z) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (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 x y))) z)
(*.f64 #s(approx (neg (* (cosh x) (/ y x))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 x x) (*.f64 #s(literal -1/2 binary64) y)) x (/.f64 (neg.f64 y) x))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (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))))
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))))) (/.f64 #s(literal -1 binary64) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 z y) (/.f64 z y)) (*.f64 (/.f64 z y) (/.f64 z y))) x))
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
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:

15.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
15.0ms
z
15.0ms
y
15.0ms
x
14.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
95.8%2x
95.4%3y
92.8%2z
94.4%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
94.4%2(*.f64 (cosh.f64 x) (/.f64 y x))
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes58.0ms (1%)

Memory
-5.1MiB live, 26.5MiB allocated
Counts
59 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.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)
(/.f64 #s(approx (/ (* (cosh x) y) z) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (+ (* 1/2 x) (/ 1 x)) y)) (*.f64 (/.f64 z y) x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 z y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) (*.f64 z x))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
#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 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) 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)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) z) x)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z) x)
(*.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 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)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) z))
#s(approx (/ (* (cosh x) (/ y 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 (/ (* (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))
#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)) z) (/.f64 y x)))
#s(approx (/ (* (cosh x) (/ y x)) 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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (cosh x) (/ y 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 (/ (* (cosh x) (/ y 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))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 #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 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z 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)) y))))
#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 #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 (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 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x)) z)
(/.f64 (/.f64 (*.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))) y) z) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (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 x y))) z)
(*.f64 #s(approx (neg (* (cosh x) (/ y x))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 x x) (*.f64 #s(literal -1/2 binary64) y)) x (/.f64 (neg.f64 y) x))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) y))))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (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))))
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))))) (/.f64 #s(literal -1 binary64) z))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (/.f64 z y) (/.f64 z y)) (*.f64 (/.f64 z y) (/.f64 z y))) x))
Outputs
#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 (/.f64 (*.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))) y) z) x)
Calls

4 calls:

15.0ms
y
14.0ms
x
14.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
13.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
93.1%2y
93.1%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
93.1%2(*.f64 (cosh.f64 x) (/.f64 y x))
90.4%1x
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes54.0ms (0.9%)

Memory
-0.5MiB live, 24.0MiB allocated
Counts
51 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.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)
(/.f64 #s(approx (/ (* (cosh x) y) z) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (+ (* 1/2 x) (/ 1 x)) y)) (*.f64 (/.f64 z y) x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 z y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) (*.f64 z x))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
#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 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) 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)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) z) x)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z) x)
(*.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 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)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) z))
#s(approx (/ (* (cosh x) (/ y 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 (/ (* (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))
#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)) z) (/.f64 y x)))
#s(approx (/ (* (cosh x) (/ y x)) 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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (cosh x) (/ y 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 (/ (* (cosh x) (/ y 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))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 #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 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z 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)) y))))
#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 #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 (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 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x)) z)
Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x)) z)
#s(approx (/ (* (cosh x) (/ y 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

4 calls:

14.0ms
y
13.0ms
z
13.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
12.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
92.0%2z
92.7%2y
91.6%2(*.f64 (cosh.f64 x) (/.f64 y x))
91.6%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes15.0ms (0.3%)

Memory
0.3MiB live, 7.9MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.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)
(/.f64 #s(approx (/ (* (cosh x) y) z) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (+ (* 1/2 x) (/ 1 x)) y)) (*.f64 (/.f64 z y) x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 z y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) (*.f64 z x))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
#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 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) 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)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) z) x)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z) x)
(*.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 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)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) z))
#s(approx (/ (* (cosh x) (/ y 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 (/ (* (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))
#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)) z) (/.f64 y x)))
#s(approx (/ (* (cosh x) (/ y x)) 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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (cosh x) (/ y 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 (/ (* (cosh x) (/ y 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))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 #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 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z 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)) y))))
#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 #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 (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 y x))) z)
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)
#s(approx (/ (* (cosh x) (/ y 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

1 calls:

13.0ms
y
Results
AccuracySegmentsBranch
92.7%2y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes50.0ms (0.9%)

Memory
-1.3MiB live, 23.1MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.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)
(/.f64 #s(approx (/ (* (cosh x) y) z) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (+ (* 1/2 x) (/ 1 x)) y)) (*.f64 (/.f64 z y) x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 z y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) (*.f64 z x))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
#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 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) 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)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) z) x)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z) x)
(*.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 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)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) z))
#s(approx (/ (* (cosh x) (/ y 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 (/ (* (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))
#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)) z) (/.f64 y x)))
#s(approx (/ (* (cosh x) (/ y x)) 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)) (/.f64 (/.f64 y z) x)))
#s(approx (/ (* (cosh x) (/ y 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 (/ (* (cosh x) (/ y 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))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (* (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 #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 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z 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)) y))))
#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)))
Outputs
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
#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:

13.0ms
x
12.0ms
z
12.0ms
y
11.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
91.6%2(*.f64 (cosh.f64 x) (/.f64 y x))
92.0%3x
91.6%2z
90.9%2y
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes49.0ms (0.9%)

Memory
-2.1MiB live, 23.3MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.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)
(/.f64 #s(approx (/ (* (cosh x) y) z) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (+ (* 1/2 x) (/ 1 x)) y)) (*.f64 (/.f64 z y) x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 z y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) (*.f64 z x))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
#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 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) 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)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) z) x)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z) x)
(*.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 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)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) z))
#s(approx (/ (* (cosh x) (/ y 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))
Outputs
#s(approx (/ (* (cosh x) (/ y 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))
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
Calls

5 calls:

10.0ms
y
10.0ms
z
9.0ms
x
9.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
9.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
86.4%2x
85.1%2y
85.3%2z
87.4%3(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
87.3%3(*.f64 (cosh.f64 x) (/.f64 y x))
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes47.0ms (0.8%)

Memory
7.6MiB live, 22.9MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.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)
(/.f64 #s(approx (/ (* (cosh x) y) z) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (+ (* 1/2 x) (/ 1 x)) y)) (*.f64 (/.f64 z y) x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 z y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) (*.f64 z x))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
#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 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) 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)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) z) x)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z) x)
(*.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 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)) y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) z))
Outputs
#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)) y) (*.f64 z x)))
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
Calls

5 calls:

9.0ms
z
9.0ms
y
9.0ms
x
8.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
8.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
81.0%2y
79.0%1z
81.7%2(*.f64 (cosh.f64 x) (/.f64 y x))
81.7%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
84.5%2x
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes18.0ms (0.3%)

Memory
-7.1MiB live, 9.4MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.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)
(/.f64 #s(approx (/ (* (cosh x) y) z) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (+ (* 1/2 x) (/ 1 x)) y)) (*.f64 (/.f64 z y) x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 z y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) (*.f64 z x))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
#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 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) 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)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) z) x)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) z) x)
(*.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 x))))
Outputs
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) z) x)
Calls

2 calls:

9.0ms
x
7.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
81.7%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
79.0%1x
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes39.0ms (0.7%)

Memory
4.2MiB live, 19.9MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.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)
(/.f64 #s(approx (/ (* (cosh x) y) z) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (+ (* 1/2 x) (/ 1 x)) y)) (*.f64 (/.f64 z y) x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 z y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) (*.f64 z x))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
#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 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) 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)
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z)
Calls

5 calls:

8.0ms
y
8.0ms
z
8.0ms
x
7.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
7.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
77.0%2x
74.4%1z
77.9%3y
74.4%1(*.f64 (cosh.f64 x) (/.f64 y x))
74.4%1(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes37.0ms (0.7%)

Memory
3.2MiB live, 19.4MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.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)
(/.f64 #s(approx (/ (* (cosh x) y) z) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (+ (* 1/2 x) (/ 1 x)) y)) (*.f64 (/.f64 z y) x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 z y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) (*.f64 z x))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
#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 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) z) (/.f64 y x))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) 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
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)))
Calls

5 calls:

8.0ms
x
8.0ms
y
7.0ms
z
7.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
7.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
72.7%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
72.7%2(*.f64 (cosh.f64 x) (/.f64 y x))
72.0%4z
72.1%3y
67.5%2x
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes20.0ms (0.3%)

Memory
-4.6MiB live, 11.0MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.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)
(/.f64 #s(approx (/ (* (cosh x) y) z) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (+ (* 1/2 x) (/ 1 x)) y)) (*.f64 (/.f64 z y) x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 z y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) (*.f64 z x))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
#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 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (/.f64 y z) (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 z x))))
Outputs
(/.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 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)))
Calls

3 calls:

7.0ms
y
6.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
6.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
67.2%2y
69.3%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
69.3%2(*.f64 (cosh.f64 x) (/.f64 y x))
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes12.0ms (0.2%)

Memory
-0.8MiB live, 6.9MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.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)
(/.f64 #s(approx (/ (* (cosh x) y) z) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (+ (* 1/2 x) (/ 1 x)) y)) (*.f64 (/.f64 z y) x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 z y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) y) (*.f64 z x))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)))
#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)))
Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)))
Calls

2 calls:

5.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
5.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
69.3%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
69.3%2(*.f64 (cosh.f64 x) (/.f64 y x))
Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes22.0ms (0.4%)

Memory
5.0MiB live, 13.6MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.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)
(/.f64 #s(approx (/ (* (cosh x) y) z) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (+ (* 1/2 x) (/ 1 x)) y)) (*.f64 (/.f64 z y) x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (/.f64 z #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 z y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))))
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
Calls

5 calls:

5.0ms
z
4.0ms
y
4.0ms
x
4.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
4.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
54.1%3y
64.7%2x
52.5%2z
58.7%3(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
58.7%3(*.f64 (cosh.f64 x) (/.f64 y x))
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes3.0ms (0%)

Memory
-5.7MiB live, 2.2MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) z) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y) z))
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
63.7%2x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
-0.9MiB live, 7.0MiB 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:

1.0ms
z
1.0ms
x
1.0ms
y
1.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
1.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
45.1%1z
45.1%1y
45.1%1(*.f64 (cosh.f64 x) (/.f64 y x))
45.1%1(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
45.1%1x
Compiler

Compiled 17 to 22 computations (-29.4% saved)

bsearch13.0ms (0.2%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.5534393887985332e+68
1.1414001772650943e+75
Samples
7.0ms144×0valid
Compiler

Compiled 317 to 247 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (51.5% of total)
ival-mult: 1.0ms (25.7% of total)
ival-cosh: 1.0ms (25.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.90125393733783e-175
3.4727827867120843e-156
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch14.0ms (0.2%)

Memory
-3.1MiB live, 4.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
2.358340458628876e+67
1.0111459980662014e+73
Samples
7.0ms144×0valid
Compiler

Compiled 506 to 346 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (49.8% of total)
ival-mult: 1.0ms (24.9% of total)
ival-cosh: 1.0ms (24.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.358340458628876e+67
1.0111459980662014e+73
Compiler

Compiled 506 to 346 computations (31.6% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.4247665591110512e+167
2.055951954731731e+171
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch13.0ms (0.2%)

Memory
4.5MiB live, 4.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
4.8761538120569936e+147
5.443019344092106e+152
Samples
7.0ms144×0valid
Compiler

Compiled 443 to 337 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (52.1% of total)
ival-mult: 1.0ms (26.1% of total)
ival-cosh: 1.0ms (26.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
-8.0MiB live, 0.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.8761538120569936e+147
5.443019344092106e+152
Compiler

Compiled 380 to 292 computations (23.2% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.016193808499522e-21
484.88100036760795
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch10.0ms (0.2%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
1.662643672919961e-157
3.908388746460019e-156
Samples
5.0ms112×0valid
Compiler

Compiled 214 to 181 computations (15.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (33% of total)
ival-mult: 1.0ms (33% of total)
ival-cosh: 1.0ms (33% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.5770966605703297e+287
2.7394411983889797e+287
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.5770966605703297e+287
2.7394411983889797e+287
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch15.0ms (0.3%)

Memory
-3.4MiB live, 4.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
2.4931472260584902e-5
16658.40874084899
Samples
8.0ms144×0valid
Compiler

Compiled 479 to 319 computations (33.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cosh: 3.0ms (57.4% of total)
ival-div: 2.0ms (38.3% of total)
ival-mult: 1.0ms (19.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.2%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
2.4931472260584902e-5
16658.40874084899
Samples
6.0ms112×0valid
Compiler

Compiled 479 to 319 computations (33.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-cosh: 2.0ms (57.1% of total)
ival-div: 1.0ms (28.5% of total)
ival-mult: 1.0ms (28.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify24.0ms (0.4%)

Memory
-4.1MiB live, 20.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137681
1160681
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 1120000000000000006106147351903407949137774679787347172455328648207611723776 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 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 4455508415646675/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #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 (/.f64 (*.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))) y) z) x))
(if (<=.f64 y #s(literal 699999999999999954991034162952410940914172889858241392691551972360192 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x)) z) #s(approx (/ (* (cosh x) (/ y 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 699999999999999954991034162952410940914172889858241392691551972360192 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) #s(approx (/ (* (cosh x) (/ y 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 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000007721798857483902880558804102982700877908847659137154782032985485340394783509086340687111501805726310060782654579073417017646333594747261264801453572096 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) #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 540000000000000029627351769374561259122294241416621537719503835285707376071947389742361911289645205000366901800731148779844885803492324476449111272325120 binary64)) #s(approx (/ (* (cosh x) (/ y 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)) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z))
(if (<=.f64 x #s(literal 540000000000000029627351769374561259122294241416621537719503835285707376071947389742361911289645205000366901800731148779844885803492324476449111272325120 binary64)) #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)) y) (*.f64 z x))) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) (*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) z) x))
(if (<=.f64 x #s(literal 2705176266112081/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal +inf.0 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000015050434704988037438722854160965167277038508879412704868603093142005078215279324239847878441835103054282802083936344411179354042575387724407831277773948574398143209308142533538198452142423795932681473765005821980690868707107361404506676857273350929369698615436038683754496 binary64)) (/.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 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000015050434704988037438722854160965167277038508879412704868603093142005078215279324239847878441835103054282802083936344411179354042575387724407831277773948574398143209308142533538198452142423795932681473765005821980690868707107361404506676857273350929369698615436038683754496 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x))))
(if (<=.f64 x #s(literal 110 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
Outputs
(if (<=.f64 x #s(literal 1120000000000000006106147351903407949137774679787347172455328648207611723776 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 1120000000000000006106147351903407949137774679787347172455328648207611723776 binary64)) (/.f64 (*.f64 (cosh.f64 x) 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 4455508415646675/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #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 (/.f64 (*.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))) y) z) x))
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 4455508415646675/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #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 (/.f64 (*.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))) y) z) x))
(if (<=.f64 y #s(literal 699999999999999954991034162952410940914172889858241392691551972360192 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (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)) y) x)) z) #s(approx (/ (* (cosh x) (/ y 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 699999999999999954991034162952410940914172889858241392691551972360192 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) #s(approx (/ (* (cosh x) (/ y 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 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000007721798857483902880558804102982700877908847659137154782032985485340394783509086340687111501805726310060782654579073417017646333594747261264801453572096 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) #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 y x) (cosh.f64 x)) #s(literal 200000000000000007721798857483902880558804102982700877908847659137154782032985485340394783509086340687111501805726310060782654579073417017646333594747261264801453572096 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) #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 540000000000000029627351769374561259122294241416621537719503835285707376071947389742361911289645205000366901800731148779844885803492324476449111272325120 binary64)) #s(approx (/ (* (cosh x) (/ y 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)) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z))
(if (<=.f64 x #s(literal 540000000000000029627351769374561259122294241416621537719503835285707376071947389742361911289645205000366901800731148779844885803492324476449111272325120 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z))
(if (<=.f64 x #s(literal 540000000000000029627351769374561259122294241416621537719503835285707376071947389742361911289645205000366901800731148779844885803492324476449111272325120 binary64)) #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)) y) (*.f64 z x))) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) (*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) z) x))
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) (*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) z) x))
(if (<=.f64 x #s(literal 2705176266112081/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) x) z))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal +inf.0 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x))))
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal +inf.0 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)) y))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000015050434704988037438722854160965167277038508879412704868603093142005078215279324239847878441835103054282802083936344411179354042575387724407831277773948574398143209308142533538198452142423795932681473765005821980690868707107361404506676857273350929369698615436038683754496 binary64)) (/.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 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x))))
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 200000000000000015050434704988037438722854160965167277038508879412704868603093142005078215279324239847878441835103054282802083936344411179354042575387724407831277773948574398143209308142533538198452142423795932681473765005821980690868707107361404506676857273350929369698615436038683754496 binary64)) (/.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 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)) y))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000015050434704988037438722854160965167277038508879412704868603093142005078215279324239847878441835103054282802083936344411179354042575387724407831277773948574398143209308142533538198452142423795932681473765005821980690868707107361404506676857273350929369698615436038683754496 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x))))
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 200000000000000015050434704988037438722854160965167277038508879412704868603093142005078215279324239847878441835103054282802083936344411179354042575387724407831277773948574398143209308142533538198452142423795932681473765005821980690868707107361404506676857273350929369698615436038683754496 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (*.f64 z x)) y))
(if (<=.f64 x #s(literal 110 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 x) (/ 1 x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))

soundness1.5s (27%)

Memory
4.7MiB live, 20.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070214
1201210
2600198
31414192
42105192
52771190
63308190
74809186
85457186
95927186
106459186
117747186
08030168
0191963
1614951
21959868
34835829
08282778
02881250
18981234
227361137
367521118
087351045
0197821
1633813
22049766
35090743
08148704
045342
073342
1273342
21999342
08606342
038293
067293
1259293
21796293
08500293
0719
01119
13619
220819
3216119
0857119
Stop Event
1×fuel
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×node limit
Compiler

Compiled 1 316 to 608 computations (53.8% saved)

preprocess143.0ms (2.5%)

Memory
5.6MiB live, 74.5MiB allocated
Remove

(negabs y)

(negabs z)

Compiler

Compiled 1 746 to 518 computations (70.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...