Data.Random.Distribution.Normal:normalF from random-fu-0.2.6.2

Time bar (total: 8.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample1.0s (12.4%)

Memory
48.9MiB live, 1 447.7MiB allocated
Samples
720.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 352.0ms
ival-mult: 241.0ms (68.5% of total)
ival-exp: 100.0ms (28.4% of total)
ival-true: 7.0ms (2% of total)
ival-assert: 4.0ms (1.1% of total)
Bogosity

explain99.0ms (1.2%)

Memory
-2.9MiB live, 138.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(exp.f64 (*.f64 (*.f64 x y) y))
00-0-y
00-0-(*.f64 (*.f64 x y) y)
00-0-(*.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
55.0ms512×0valid
Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 33.0ms (87% of total)
ival-exp: 5.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess199.0ms (2.4%)

Memory
35.5MiB live, 218.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01538
14834
214534
340534
4137534
056
086
1176
2396
31096
43936
518696
658116
084046
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(exp.f64 (*.f64 (*.f64 x y) y))
Outputs
(exp.f64 (*.f64 (*.f64 x y) y))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
Symmetry

(abs y)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify148.0ms (1.8%)

Memory
-21.0MiB live, 124.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) y)
cost-diff0
(exp.f64 (*.f64 (*.f64 x y) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
0816
11716
23916
310916
439316
5186916
6581116
0840416
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(exp.f64 (*.f64 (*.f64 x y) y))
(*.f64 (*.f64 x y) y)
(*.f64 x y)
x
y
Outputs
(exp.f64 (*.f64 (*.f64 x y) y))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y x) y)
(*.f64 x y)
(*.f64 y x)
x
y

localize20.0ms (0.2%)

Memory
-12.3MiB live, 32.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy0.017419654760301946
(exp.f64 (*.f64 (*.f64 x y) y))
accuracy0.09765625
(*.f64 (*.f64 x y) y)
Samples
16.0ms256×0valid
Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 7.0ms (76.4% of total)
ival-exp: 2.0ms (21.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
3 → 9
Calls
Call 1
Inputs
(exp.f64 (*.f64 (*.f64 x y) y))
(*.f64 (*.f64 x y) y)
(*.f64 x y)
Outputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x (pow y 2))
(* x y)
(exp (* x (pow y 2)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((exp (* (* x y) y)) (* (* x y) y) (* x y))
1.0ms
x
@0
((exp (* (* x y) y)) (* (* x y) y) (* x y))
1.0ms
x
@inf
((exp (* (* x y) y)) (* (* x y) y) (* x y))
1.0ms
x
@-inf
((exp (* (* x y) y)) (* (* x y) y) (* x y))
1.0ms
y
@0
((exp (* (* x y) y)) (* (* x y) y) (* x y))

simplify274.0ms (3.3%)

Memory
-2.6MiB live, 288.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04498
114698
254098
3231998
4612398
0817687
Stop Event
1×iter limit
1×node limit
Counts
9 → 9
Calls
Call 1
Inputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x (pow y 2))
(* x y)
(exp (* x (pow y 2)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x y)
(*.f64 y x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64))

rewrite321.0ms (3.8%)

Memory
-2.6MiB live, 226.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
0814
11714
26014
338214
4500314
0865014
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 276
Calls
Call 1
Inputs
(exp.f64 (*.f64 (*.f64 x y) y))
(*.f64 (*.f64 x y) y)
(*.f64 x y)
Outputs
(*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 y) x) (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) (/.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))) (/.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) x)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) x)) (/.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) x)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) x)) (/.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (neg.f64 y) #s(literal 2 binary64))) (neg.f64 y)) (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (neg.f64 y) #s(literal 2 binary64))) (neg.f64 y)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)))
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) (cosh.f64 (*.f64 (*.f64 y x) y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (sinh.f64 (*.f64 (*.f64 y x) y)) (*.f64 #s(literal 4 binary64) (cosh.f64 (*.f64 (*.f64 y x) y)))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) y) (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) y))
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) y) (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) y))
(*.f64 (pow.f64 (exp.f64 x) (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (pow.f64 (exp.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 (*.f64 (*.f64 y x) y))) (*.f64 #s(literal 4 binary64) (sinh.f64 (*.f64 (*.f64 y x) y)))) #s(literal -1 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x))) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 6 binary64)))) (fma.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64))) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64))) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 4 binary64))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)) (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64))))) (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64)))))
(*.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (exp.f64 y) (*.f64 x (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))) (/.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 y) x)) (/.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x))) (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)) (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) x))
(*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 y #s(literal 2 binary64))) x)
(pow.f64 (pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) y) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (neg.f64 y)) (/.f64 (neg.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (neg.f64 y)) (neg.f64 x)) y)
(pow.f64 (pow.f64 (exp.f64 (neg.f64 y)) y) (neg.f64 x))
(pow.f64 (pow.f64 (exp.f64 (neg.f64 y)) x) (neg.f64 y))
(pow.f64 (pow.f64 (exp.f64 x) (exp.f64 (log.f64 y))) (exp.f64 (log.f64 y)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) x) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) x) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 2 binary64)) y))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 2 binary64)) x))
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 (neg.f64 y) y)) (*.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (/.f64 y #s(literal 2 binary64)) x))
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(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (/.f64 y #s(literal 2 binary64)) y))
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(fma.f64 x (/.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 2 binary64)) x))
(-.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 y x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (sinh.f64 (*.f64 y x)) (cosh.f64 (*.f64 y x)))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y x))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y x))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y x)) #s(literal 3 binary64))))) (log.f64 (neg.f64 (-.f64 (cosh.f64 (*.f64 (+.f64 x x) y)) (*.f64 (sinh.f64 (*.f64 y x)) (cosh.f64 (*.f64 y x)))))))
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y x)))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y x)))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (exp.f64 x) (neg.f64 y)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 y x)) (cosh.f64 (*.f64 y x)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y x)) #s(literal 3 binary64)))) (log.f64 (-.f64 (cosh.f64 (*.f64 (+.f64 x x) y)) (*.f64 (sinh.f64 (*.f64 y x)) (cosh.f64 (*.f64 y x))))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x))
(+.f64 (log.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))))) (log.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))))) (log.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) x) (*.f64 (/.f64 y #s(literal 2 binary64)) x))
(log.f64 (pow.f64 (exp.f64 y) x))

eval33.0ms (0.4%)

Memory
39.7MiB live, 85.0MiB allocated
Compiler

Compiled 7 330 to 845 computations (88.5% saved)

prune55.0ms (0.7%)

Memory
-26.0MiB live, 20.5MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2803283
Fresh000
Picked011
Done000
Total2804284
Accuracy
100.0%
Counts
284 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.2%
(-.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)))
✓100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
▶67.5%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
▶50.3%
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Compiler

Compiled 41 to 31 computations (24.4% saved)

simplify136.0ms (1.6%)

Memory
-4.8MiB live, 190.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) y)
cost-diff0
(cosh.f64 (*.f64 (*.f64 y x) y))
cost-diff8
(-.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
cost-diff0
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01883
02983
16483
215375
339275
4130975
5631675
0891775
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(*.f64 y y)
y
x
#s(literal 1 binary64)
(-.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)))
(cosh.f64 (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
y
x
(sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(*.f64 y y)
y
x
#s(literal 1 binary64)
(-.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(cosh.f64 (*.f64 (*.f64 y x) y))
(cosh.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y x) y)
(*.f64 (*.f64 y y) x)
(*.f64 y x)
y
x
(sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)

localize153.0ms (1.8%)

Memory
-13.0MiB live, 137.2MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.021325904760301946
(sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x))
accuracy0.0703125
(*.f64 (*.f64 y x) y)
accuracy0.08049315608911152
(-.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)))
accuracy5.615523482136246
(*.f64 (*.f64 (neg.f64 y) y) x)
accuracy0.0
(*.f64 y y)
accuracy1.450397613249816
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
accuracy7.961020128929726
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
accuracy17.77691863423471
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Samples
93.0ms198×0valid
10.0ms58×1exit
Compiler

Compiled 77 to 19 computations (75.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 18.0ms (60.9% of total)
ival-cosh: 3.0ms (10.1% of total)
adjust: 2.0ms (6.8% of total)
ival-exp: 2.0ms (6.8% of total)
ival-add: 1.0ms (3.4% of total)
ival-sub: 1.0ms (3.4% of total)
ival-sinh: 1.0ms (3.4% of total)
ival-neg: 1.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
38.3MiB live, 38.3MiB allocated
Counts
10 → 36
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(*.f64 y y)
(-.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)))
(cosh.f64 (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
(*.f64 (*.f64 (neg.f64 y) y) x)
(sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x))
Outputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(+ 1 (* -1/2 (* x (- (* -1 (pow y 2)) (pow y 2)))))
(+ 1 (* x (- (* x (- (* 1/2 (pow y 4)) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2))))))
(+ 1 (* x (- (* x (- (+ (* 1/2 (pow y 4)) (* x (- (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* 1/2 (- (* -1/6 (pow y 6)) (+ (* -1/2 (pow y 6)) (+ (* 1/6 (pow y 6)) (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))))))))) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2))))))
(+ 1 (* 1/2 (* (pow x 2) (pow y 4))))
(+ 1 (* (pow x 2) (+ (* -1/2 (* x (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6))))) (* 1/2 (pow y 4)))))
(+ 1 (* (pow x 2) (+ (* 1/2 (pow y 4)) (* x (+ (* -1/2 (* x (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (+ (* -1/2 (pow y 6)) (* 1/6 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/6 (pow y 8)))))) (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))))))
(* x (pow y 2))
(* x y)
(* -1 (* x (pow y 2)))
(* 1/2 (* x (- (* -1 (pow y 2)) (pow y 2))))
(* x (+ (* 1/2 (* x (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2)))))
(* x (+ (* 1/2 (- (* -1 (pow y 2)) (pow y 2))) (* x (+ (* 1/2 (* x (- (* -1/6 (pow y 6)) (+ (* -1/2 (pow y 6)) (+ (* 1/6 (pow y 6)) (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))))))) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))))))))
(* x (+ (* 1/2 (- (* -1 (pow y 2)) (pow y 2))) (* x (+ (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))) (* x (+ (* 1/2 (* x (- (* 1/24 (pow y 8)) (+ (* -1/2 (* (pow y 4) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/24 (pow y 8)) (+ (* 1/6 (pow y 8)) (* (pow y 2) (+ (* -1/2 (pow y 6)) (+ (* 1/6 (pow y 6)) (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))))))))))) (* 1/2 (- (* -1/6 (pow y 6)) (+ (* -1/2 (pow y 6)) (+ (* 1/6 (pow y 6)) (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))))))))))))
(exp (* x (pow y 2)))
(* x (+ (/ 1 x) (pow y 2)))
(- (* 1/2 (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2)))))) (* 1/2 (- (exp (* -1 (* x (pow y 2)))) (/ 1 (exp (* -1 (* x (pow y 2))))))))
(* 1/2 (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))))
(* 1/2 (- (exp (* -1 (* x (pow y 2)))) (/ 1 (exp (* -1 (* x (pow y 2)))))))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(pow y 2)
(+ 1 (* -1/2 (* (pow y 2) (- (* -1 x) x))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* -1 x) x)))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* -1 x) x)))))
(+ 1 (* (pow y 4) (+ (* -1/2 (* (pow y 2) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/2 (pow x 2)))))
(+ 1 (* (pow y 4) (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/2 (* (pow y 2) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))
(* 1/2 (* (pow y 2) (- (* -1 x) x)))
(* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/2 (- (* -1 x) x))))
(* (pow y 2) (+ (* 1/2 (- (* -1 x) x)) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))))
(* (pow y 2) (+ (* 1/2 (- (* -1 x) x)) (* (pow y 2) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))))))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@0
((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (cosh (* (* y x) y)) (* (* y x) y) (* y x) (* (* (neg y) y) x) (sinh (* (* (neg y) y) x)))
4.0ms
x
@-inf
((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (cosh (* (* y x) y)) (* (* y x) y) (* y x) (* (* (neg y) y) x) (sinh (* (* (neg y) y) x)))
3.0ms
x
@0
((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (cosh (* (* y x) y)) (* (* y x) y) (* y x) (* (* (neg y) y) x) (sinh (* (* (neg y) y) x)))
3.0ms
y
@inf
((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (cosh (* (* y x) y)) (* (* y x) y) (* y x) (* (* (neg y) y) x) (sinh (* (* (neg y) y) x)))
2.0ms
x
@inf
((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (cosh (* (* y x) y)) (* (* y x) y) (* y x) (* (* (neg y) y) x) (sinh (* (* (neg y) y) x)))

simplify222.0ms (2.7%)

Memory
-41.7MiB live, 296.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02471045
1951863
24680669
09219622
Stop Event
1×iter limit
1×node limit
Counts
36 → 36
Calls
Call 1
Inputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(+ 1 (* -1/2 (* x (- (* -1 (pow y 2)) (pow y 2)))))
(+ 1 (* x (- (* x (- (* 1/2 (pow y 4)) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2))))))
(+ 1 (* x (- (* x (- (+ (* 1/2 (pow y 4)) (* x (- (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* 1/2 (- (* -1/6 (pow y 6)) (+ (* -1/2 (pow y 6)) (+ (* 1/6 (pow y 6)) (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))))))))) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2))))))
(+ 1 (* 1/2 (* (pow x 2) (pow y 4))))
(+ 1 (* (pow x 2) (+ (* -1/2 (* x (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6))))) (* 1/2 (pow y 4)))))
(+ 1 (* (pow x 2) (+ (* 1/2 (pow y 4)) (* x (+ (* -1/2 (* x (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (+ (* -1/2 (pow y 6)) (* 1/6 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/6 (pow y 8)))))) (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))))))
(* x (pow y 2))
(* x y)
(* -1 (* x (pow y 2)))
(* 1/2 (* x (- (* -1 (pow y 2)) (pow y 2))))
(* x (+ (* 1/2 (* x (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2)))))
(* x (+ (* 1/2 (- (* -1 (pow y 2)) (pow y 2))) (* x (+ (* 1/2 (* x (- (* -1/6 (pow y 6)) (+ (* -1/2 (pow y 6)) (+ (* 1/6 (pow y 6)) (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))))))) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))))))))
(* x (+ (* 1/2 (- (* -1 (pow y 2)) (pow y 2))) (* x (+ (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))) (* x (+ (* 1/2 (* x (- (* 1/24 (pow y 8)) (+ (* -1/2 (* (pow y 4) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/24 (pow y 8)) (+ (* 1/6 (pow y 8)) (* (pow y 2) (+ (* -1/2 (pow y 6)) (+ (* 1/6 (pow y 6)) (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))))))))))) (* 1/2 (- (* -1/6 (pow y 6)) (+ (* -1/2 (pow y 6)) (+ (* 1/6 (pow y 6)) (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))))))))))))
(exp (* x (pow y 2)))
(* x (+ (/ 1 x) (pow y 2)))
(- (* 1/2 (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2)))))) (* 1/2 (- (exp (* -1 (* x (pow y 2)))) (/ 1 (exp (* -1 (* x (pow y 2))))))))
(* 1/2 (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))))
(* 1/2 (- (exp (* -1 (* x (pow y 2)))) (/ 1 (exp (* -1 (* x (pow y 2)))))))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(pow y 2)
(+ 1 (* -1/2 (* (pow y 2) (- (* -1 x) x))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* -1 x) x)))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* -1 x) x)))))
(+ 1 (* (pow y 4) (+ (* -1/2 (* (pow y 2) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/2 (pow x 2)))))
(+ 1 (* (pow y 4) (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/2 (* (pow y 2) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))
(* 1/2 (* (pow y 2) (- (* -1 x) x)))
(* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/2 (- (* -1 x) x))))
(* (pow y 2) (+ (* 1/2 (- (* -1 x) x)) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))))
(* (pow y 2) (+ (* 1/2 (- (* -1 x) x)) (* (pow y 2) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))))))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* -1/2 (* x (- (* -1 (pow y 2)) (pow y 2)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* 1/2 (pow y 4)) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 (*.f64 y y) #s(literal -2 binary64)))) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (+ (* 1/2 (pow y 4)) (* x (- (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* 1/2 (- (* -1/6 (pow y 6)) (+ (* -1/2 (pow y 6)) (+ (* 1/6 (pow y 6)) (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))))))))) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) y) #s(literal 1/2 binary64)))) x (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal -1/2 binary64))) x #s(literal 1 binary64))
(+ 1 (* 1/2 (* (pow x 2) (pow y 4))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* -1/2 (* x (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6))))) (* 1/2 (pow y 4)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 y #s(literal 5 binary64)) (neg.f64 y) (pow.f64 y #s(literal 6 binary64)))) x (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* 1/2 (pow y 4)) (* x (+ (* -1/2 (* x (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (+ (* -1/2 (pow y 6)) (* 1/6 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/6 (pow y 8)))))) (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/12 binary64) (fma.f64 (*.f64 (*.f64 y y) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal -1/2 binary64)))) x (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 y #s(literal 5 binary64)) (neg.f64 y) (pow.f64 y #s(literal 6 binary64))))) x) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) #s(literal 1 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(* 1/2 (* x (- (* -1 (pow y 2)) (pow y 2))))
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal 1/2 binary64)) x)
(* x (+ (* 1/2 (* x (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) x)
(* x (+ (* 1/2 (- (* -1 (pow y 2)) (pow y 2))) (* x (+ (* 1/2 (* x (- (* -1/6 (pow y 6)) (+ (* -1/2 (pow y 6)) (+ (* 1/6 (pow y 6)) (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))))))) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) y) #s(literal -1/2 binary64))) x) x (*.f64 (*.f64 y y) #s(literal -2 binary64)))) x)
(* x (+ (* 1/2 (- (* -1 (pow y 2)) (pow y 2))) (* x (+ (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))) (* x (+ (* 1/2 (* x (- (* 1/24 (pow y 8)) (+ (* -1/2 (* (pow y 4) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/24 (pow y 8)) (+ (* 1/6 (pow y 8)) (* (pow y 2) (+ (* -1/2 (pow y 6)) (+ (* 1/6 (pow y 6)) (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))))))))))) (* 1/2 (- (* -1/6 (pow y 6)) (+ (* -1/2 (pow y 6)) (+ (* 1/6 (pow y 6)) (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))))))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 8 binary64))) (fma.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/8 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 6 binary64))) y) y (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/2 binary64)))))) x (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) y) #s(literal -1/2 binary64))))) x (*.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)
(exp (* x (pow y 2)))
(pow.f64 (exp.f64 y) (*.f64 y x))
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(- (* 1/2 (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2)))))) (* 1/2 (- (exp (* -1 (* x (pow y 2)))) (/ 1 (exp (* -1 (* x (pow y 2))))))))
(*.f64 (-.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 x) y) y)) (pow.f64 (exp.f64 y) (*.f64 y x))) (-.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 x) y) y)) (pow.f64 (exp.f64 y) (*.f64 y x)))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))))
(*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 x) y) y)) (pow.f64 (exp.f64 y) (*.f64 y x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp (* -1 (* x (pow y 2)))) (/ 1 (exp (* -1 (* x (pow y 2)))))))
(*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 x) y) y)) (pow.f64 (exp.f64 y) (*.f64 y x))) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64) x)) (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(+ 1 (* -1/2 (* (pow y 2) (- (* -1 x) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (-.f64 (neg.f64 x) x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* -1 x) x)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* -1 x) x)))))
(fma.f64 (fma.f64 (-.f64 (neg.f64 x) x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) y) y (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 4) (+ (* -1/2 (* (pow y 2) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/2 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1 binary64))
(+ 1 (* (pow y 4) (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/2 (* (pow y 2) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))) y) y) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/2 (* (pow y 2) (- (* -1 x) x)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (-.f64 (neg.f64 x) x))
(* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/2 (- (* -1 x) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (-.f64 (neg.f64 x) x) #s(literal 0 binary64))
(* (pow y 2) (+ (* 1/2 (- (* -1 x) x)) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) y) y) (*.f64 y y) (-.f64 (neg.f64 x) x))) (*.f64 y y))
(* (pow y 2) (+ (* 1/2 (- (* -1 x) x)) (* (pow y 2) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))) (*.f64 y y))) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 (neg.f64 x) x) #s(literal 1/2 binary64))) (*.f64 y y))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))

rewrite255.0ms (3%)

Memory
38.6MiB live, 226.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01871
02971
19463
252663
3624063
0829363
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 476
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(*.f64 y y)
(-.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)))
(cosh.f64 (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
(*.f64 (*.f64 (neg.f64 y) y) x)
(sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x))
Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 2 binary64)))) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64))) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (neg.f64 y) y) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64)) (*.f64 (*.f64 y x) y)))
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 (neg.f64 y) y) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 (neg.f64 y) y) x #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 (neg.f64 y) y) x #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 4 binary64))))
(*.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal 1 binary64))
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(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64))))) (log.f64 (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 y) y) x))) #s(literal 2 binary64))))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 (*.f64 y x) y))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 y x) y)))))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 y x) y))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 y x) y)))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 y x) y))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 (*.f64 y x) y)))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 y x) y))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 y x) y)))))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 (*.f64 y x) y)))))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 (*.f64 y x) y))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 y x) y)))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 (*.f64 y x) y))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)))))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 y x) y))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 y x) y)))))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 y x) y))) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64)))) (log.f64 (-.f64 (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)) (cosh.f64 (*.f64 (*.f64 y x) y)))))
(-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) #s(literal 1 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) (pow.f64 (pow.f64 (exp.f64 y) y) x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 6 binary64)) (pow.f64 (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)) #s(literal 6 binary64)))) (log.f64 (*.f64 (fma.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64)) (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 4 binary64))) (pow.f64 (pow.f64 (exp.f64 y) y) x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 y) y) x))) #s(literal 2 binary64))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)))) (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 y) y) x))) #s(literal 2 binary64)))))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) y))
(+.f64 (log.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)))) #s(literal -1 binary64))) (log.f64 (neg.f64 (+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 y) y) x))) #s(literal 2 binary64))))))
(+.f64 (log.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 y x) y))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)))) #s(literal -1 binary64))) (log.f64 #s(literal 4 binary64)))
(+.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) x)) #s(literal -1 binary64))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) #s(literal 3 binary64))) #s(literal -1 binary64))) (log.f64 (+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) y))) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 y) y) x))) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 y)) y) (/.f64 x #s(literal 2 binary64)))) (log.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 y)) y) (/.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y x) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 2 binary64)))))) (log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) x))))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) y) x))
(+.f64 (*.f64 (*.f64 (neg.f64 y) y) x) #s(literal 0 binary64))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) #s(literal 2 binary64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) #s(literal 2 binary64)))) (cosh.f64 (*.f64 (*.f64 y x) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) #s(literal 2 binary64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 y x) y)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) x))) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 y)) y) (*.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (exp.f64 y) y) (*.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 (neg.f64 y)) y) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 y x) y))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 y) y) x)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 y x) y))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x))) #s(literal 2 binary64))
(sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x))
(neg.f64 (sinh.f64 (*.f64 (*.f64 y x) y)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) #s(literal 2 binary64)))

eval307.0ms (3.7%)

Memory
-21.1MiB live, 134.5MiB allocated
Compiler

Compiled 14 739 to 1 831 computations (87.6% saved)

prune32.0ms (0.4%)

Memory
-27.1MiB live, 30.0MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New5043507
Fresh000
Picked123
Done011
Total5056511
Accuracy
100.0%
Counts
511 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 y x) y))
✓100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
▶73.1%
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
✓67.5%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
▶65.3%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
✓50.3%
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Compiler

Compiled 82 to 58 computations (29.3% saved)

simplify480.0ms (5.7%)

Memory
29.2MiB live, 264.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) y)
cost-diff0
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 y x) y))
cost-diff1
(exp.f64 #s(literal 1 binary64))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x)))
cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
cost-diff1
(-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030150
044148
196148
2255140
3872136
43033136
08641136
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(*.f64 y x)
y
x
#s(literal 1 binary64)
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x)))
#s(literal 1/2 binary64)
(-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))
(*.f64 (*.f64 (*.f64 y y) x) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(-.f64 (neg.f64 x) x)
(neg.f64 x)
#s(literal 1 binary64)
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 y x) y))
(exp.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 y x) y)
(*.f64 y x)
y
x
Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(*.f64 y x)
y
x
#s(literal 1 binary64)
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 y x) (*.f64 y x) x) (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 y x) (*.f64 y x) x) (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x)))
(*.f64 (-.f64 (fma.f64 (*.f64 y x) (*.f64 y x) x) (neg.f64 x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))
(-.f64 (fma.f64 (*.f64 y x) (*.f64 y x) x) (neg.f64 x))
(*.f64 (*.f64 (*.f64 y y) x) x)
(*.f64 (*.f64 y x) (*.f64 y x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(-.f64 (neg.f64 x) x)
(neg.f64 x)
#s(literal 1 binary64)
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 y x) y))
(pow.f64 (E.f64) (*.f64 (*.f64 y y) x))
(exp.f64 #s(literal 1 binary64))
(E.f64)
#s(literal 1 binary64)
(*.f64 (*.f64 y x) y)
(*.f64 (*.f64 y y) x)
(*.f64 y x)
y
x

localize135.0ms (1.6%)

Memory
-30.3MiB live, 116.8MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y x)
accuracy0.0
(exp.f64 #s(literal 1 binary64))
accuracy0.006191259768442017
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 y x) y))
accuracy0.0703125
(*.f64 (*.f64 y x) y)
accuracy0.9584173983820687
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
accuracy3.9215077674824648
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
accuracy4.572172959893643
(*.f64 (*.f64 (*.f64 y y) x) x)
accuracy5.615523482136246
(*.f64 (*.f64 y y) x)
accuracy0.0
(*.f64 y x)
accuracy0.0234375
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
accuracy7.961020128929726
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
Samples
68.0ms198×0valid
24.0ms58×1exit
Compiler

Compiled 127 to 29 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 25.0ms (50.7% of total)
ival-exp: 5.0ms (10.1% of total)
ival-pow: 4.0ms (8.1% of total)
adjust: 3.0ms (6.1% of total)
ival-cosh: 3.0ms (6.1% of total)
ival-sub: 3.0ms (6.1% of total)
ival-add: 2.0ms (4.1% of total)
ival-neg: 2.0ms (4.1% of total)
ival-sinh: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
30.8MiB live, 30.8MiB allocated
Counts
12 → 37
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(*.f64 y x)
(-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x)))
(exp.f64 #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 y x) y)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 (*.f64 y y) x) x)
Outputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x y)
(* 2 x)
(* x (+ 2 (* x (pow y 2))))
(+ 1 (* -1/2 (* x (- (* -1 (pow y 2)) (pow y 2)))))
(+ 1 (* x (- (* x (- (* 1/2 (pow y 4)) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2))))))
(+ 1 (* x (- (* x (- (+ (* 1/2 (pow y 4)) (* x (- (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* 1/2 (- (* -1/6 (pow y 6)) (+ (* -1/2 (pow y 6)) (+ (* 1/6 (pow y 6)) (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))))))))) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2))))))
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(* x (pow y 2))
(* (pow x 2) (pow y 2))
(exp (* x (pow y 2)))
(* x (+ (/ 1 x) (pow y 2)))
(* (pow x 2) (+ (* 2 (/ 1 x)) (pow y 2)))
(- (* 1/2 (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2)))))) (* 1/2 (- (exp (* -1 (* x (pow y 2)))) (/ 1 (exp (* -1 (* x (pow y 2))))))))
(* 1/2 (* (pow x 2) (pow y 4)))
(* (pow x 2) (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)))
(* (pow x 2) (+ (* 1/2 (pow y 4)) (+ (/ 1 (pow x 2)) (/ (pow y 2) x))))
(* 1/2 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 1/2 (pow y 2)) (/ 1 x)))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(+ (* 2 x) (* (pow x 2) (pow y 2)))
(+ 1 (* -1/2 (* (pow y 2) (- (* -1 x) x))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* -1 x) x)))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* -1 x) x)))))
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(* (pow y 2) (+ (* 2 (/ x (pow y 2))) (pow x 2)))
(* (pow y 4) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(* (pow y 4) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow y 4)) (/ x (pow y 2)))))
(* (pow y 2) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
y
@0
((exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (- (* (* (* y y) x) x) (- (neg x) x)) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (exp 1) (pow (exp 1) (* (* y x) y)) (* (* y x) y) (* (* y y) x) (* (* (* y y) x) x))
3.0ms
x
@-inf
((exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (- (* (* (* y y) x) x) (- (neg x) x)) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (exp 1) (pow (exp 1) (* (* y x) y)) (* (* y x) y) (* (* y y) x) (* (* (* y y) x) x))
2.0ms
y
@inf
((exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (- (* (* (* y y) x) x) (- (neg x) x)) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (exp 1) (pow (exp 1) (* (* y x) y)) (* (* y x) y) (* (* y y) x) (* (* (* y y) x) x))
2.0ms
x
@inf
((exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (- (* (* (* y y) x) x) (- (neg x) x)) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (exp 1) (pow (exp 1) (* (* y x) y)) (* (* y x) y) (* (* y y) x) (* (* (* y y) x) x))
2.0ms
y
@-inf
((exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (- (* (* (* y y) x) x) (- (neg x) x)) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (exp 1) (pow (exp 1) (* (* y x) y)) (* (* y x) y) (* (* y y) x) (* (* (* y y) x) x))

simplify242.0ms (2.9%)

Memory
9.3MiB live, 285.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176638
1615568
22460495
09143457
Stop Event
1×iter limit
1×node limit
Counts
37 → 36
Calls
Call 1
Inputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x y)
(* 2 x)
(* x (+ 2 (* x (pow y 2))))
(+ 1 (* -1/2 (* x (- (* -1 (pow y 2)) (pow y 2)))))
(+ 1 (* x (- (* x (- (* 1/2 (pow y 4)) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2))))))
(+ 1 (* x (- (* x (- (+ (* 1/2 (pow y 4)) (* x (- (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* 1/2 (- (* -1/6 (pow y 6)) (+ (* -1/2 (pow y 6)) (+ (* 1/6 (pow y 6)) (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))))))))) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2))))))
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(* x (pow y 2))
(* (pow x 2) (pow y 2))
(exp (* x (pow y 2)))
(* x (+ (/ 1 x) (pow y 2)))
(* (pow x 2) (+ (* 2 (/ 1 x)) (pow y 2)))
(- (* 1/2 (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2)))))) (* 1/2 (- (exp (* -1 (* x (pow y 2)))) (/ 1 (exp (* -1 (* x (pow y 2))))))))
(* 1/2 (* (pow x 2) (pow y 4)))
(* (pow x 2) (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)))
(* (pow x 2) (+ (* 1/2 (pow y 4)) (+ (/ 1 (pow x 2)) (/ (pow y 2) x))))
(* 1/2 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 1/2 (pow y 2)) (/ 1 x)))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(+ (* 2 x) (* (pow x 2) (pow y 2)))
(+ 1 (* -1/2 (* (pow y 2) (- (* -1 x) x))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* -1 x) x)))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* -1 x) x)))))
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(* (pow y 2) (+ (* 2 (/ x (pow y 2))) (pow x 2)))
(* (pow y 4) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(* (pow y 4) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow y 4)) (/ x (pow y 2)))))
(* (pow y 2) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)
(+ 1 (* -1/2 (* x (- (* -1 (pow y 2)) (pow y 2)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* 1/2 (pow y 4)) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 (*.f64 y y) #s(literal -2 binary64)))) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (+ (* 1/2 (pow y 4)) (* x (- (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* 1/2 (- (* -1/6 (pow y 6)) (+ (* -1/2 (pow y 6)) (+ (* 1/6 (pow y 6)) (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))))))))) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) y) #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) y) #s(literal -1/2 binary64))))) x (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
(exp (* x (pow y 2)))
(pow.f64 (exp.f64 y) (*.f64 y x))
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* (pow x 2) (+ (* 2 (/ 1 x)) (pow y 2)))
(*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)
(- (* 1/2 (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2)))))) (* 1/2 (- (exp (* -1 (* x (pow y 2)))) (/ 1 (exp (* -1 (* x (pow y 2))))))))
(*.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) y)) y) (pow.f64 (exp.f64 y) (*.f64 y x))) (-.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) y)) y) (pow.f64 (exp.f64 y) (*.f64 y x)))) #s(literal 1/2 binary64))
(* 1/2 (* (pow x 2) (pow y 4)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)))
(*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x)) x) x)
(* (pow x 2) (+ (* 1/2 (pow y 4)) (+ (/ 1 (pow x 2)) (/ (pow y 2) x))))
(fma.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x)) x) x #s(literal 1 binary64))
(* 1/2 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (pow y 2)) (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (*.f64 x x))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) y (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64)) x)) (*.f64 y y) #s(literal 1 binary64))
(+ (* 2 x) (* (pow x 2) (pow y 2)))
(*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)
(+ 1 (* -1/2 (* (pow y 2) (- (* -1 x) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* -1 x) x)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 x #s(literal -2 binary64)))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* -1 x) x)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (*.f64 y y))) (*.f64 y y) (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* (pow y 2) (+ (* 2 (/ x (pow y 2))) (pow x 2)))
(*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) x)) (*.f64 y y))
(* (pow y 4) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow y 4)) (/ x (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))) y) y)

rewrite304.0ms (3.6%)

Memory
-6.3MiB live, 281.0MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030128
044126
1166117
21153107
08235107
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 367
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(*.f64 y x)
(-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x)))
(exp.f64 #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 y x) y)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 (*.f64 y y) x) x)
Outputs
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
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(/.f64 (-.f64 (*.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x))) (*.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) (pow.f64 (sinh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 (neg.f64 y)) y) (+.f64 x x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))) (pow.f64 (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))) (fma.f64 (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 y y) x)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 y y) x)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 y y) x))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 y y) x))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 y y) x)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 y y) x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 y y) x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 y y) x)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 y y) x))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 y y) x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 y y) x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 y y) x)))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x))))) #s(literal -2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (*.f64 y y) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) (sinh.f64 (*.f64 (*.f64 y y) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 y y) x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 y y) x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 y y) x))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)))) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)))))
(-.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)))
(fabs.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x))
(exp.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 y) y)) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) (*.f64 y y)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (E.f64) y) y)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (E.f64) y)) (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (E.f64) x)) (*.f64 y y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) x (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 y y) x))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) (sinh.f64 (*.f64 (*.f64 y y) x)))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y y) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) (sinh.f64 (*.f64 (*.f64 y y) x)))))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x))) (/.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 y y) x)) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x))) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x))))
(+.f64 (sinh.f64 (*.f64 (*.f64 y y) x)) (cosh.f64 (*.f64 (*.f64 y y) x)))
(+.f64 (cosh.f64 (*.f64 (*.f64 y y) x)) (sinh.f64 (*.f64 (*.f64 y y) x)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 y x))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 y y))
(*.f64 (*.f64 x (neg.f64 y)) (neg.f64 y))
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 y x))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))
(*.f64 (neg.f64 y) (neg.f64 (*.f64 y x)))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 y y) x)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y x) (*.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 y x) y)
(*.f64 y (*.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 y (*.f64 y x))
(*.f64 x (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(*.f64 x (*.f64 y y))
(neg.f64 (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 y x))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 y y))
(*.f64 (*.f64 x (neg.f64 y)) (neg.f64 y))
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 y x))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))
(*.f64 (neg.f64 y) (neg.f64 (*.f64 y x)))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 y y) x)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y x) (*.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 y x) y)
(*.f64 y (*.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 y (*.f64 y x))
(*.f64 x (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(*.f64 x (*.f64 y y))
(neg.f64 (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (neg.f64 (*.f64 (neg.f64 y) x)) (neg.f64 (*.f64 (neg.f64 y) x)))
(*.f64 (fabs.f64 (*.f64 x (*.f64 y x))) y)
(*.f64 (fabs.f64 (*.f64 (neg.f64 y) x)) (fabs.f64 (*.f64 (neg.f64 y) x)))
(*.f64 (fabs.f64 (*.f64 y x)) (fabs.f64 (*.f64 y x)))
(*.f64 (*.f64 x (*.f64 y x)) y)
(*.f64 (neg.f64 (*.f64 y x)) (neg.f64 (*.f64 y x)))
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 (fabs.f64 x) (*.f64 y y)) (fabs.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 y y)))
(*.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (*.f64 (*.f64 y y) x) x)
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 (*.f64 y y) (*.f64 x x))
(*.f64 (*.f64 y x) (*.f64 y x))
(*.f64 y (fabs.f64 (*.f64 y (*.f64 x x))))
(*.f64 y (fabs.f64 (*.f64 (neg.f64 y) (*.f64 x x))))
(*.f64 y (fabs.f64 (*.f64 (*.f64 y x) x)))
(*.f64 y (*.f64 (*.f64 y x) x))
(*.f64 y (*.f64 y (*.f64 x x)))
(*.f64 x (*.f64 (*.f64 y y) x))
(pow.f64 (*.f64 (neg.f64 x) (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 y) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 y (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))

eval142.0ms (1.7%)

Memory
-9.0MiB live, 78.1MiB allocated
Compiler

Compiled 14 239 to 1 447 computations (89.8% saved)

prune10.0ms (0.1%)

Memory
32.3MiB live, 32.3MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New3775382
Fresh000
Picked213
Done033
Total3799388
Accuracy
100.0%
Counts
388 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(pow.f64 (E.f64) (*.f64 (*.f64 y x) y))
✓100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
▶73.1%
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
▶65.5%
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
▶73.1%
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64)))
▶72.7%
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
✓67.5%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
✓65.3%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
✓50.3%
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Compiler

Compiled 364 to 234 computations (35.7% saved)

simplify309.0ms (3.7%)

Memory
-0.3MiB live, 186.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x)))
cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
cost-diff1
(-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x)))
cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
cost-diff1
(-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))
cost-diff0
#s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)))
cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))
cost-diff0
#s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) y)
cost-diff0
(E.f64)
cost-diff0
(pow.f64 (E.f64) (*.f64 (*.f64 y x) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051489
080489
1165489
2439457
31595457
43652457
08638442
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(pow.f64 (E.f64) (*.f64 (*.f64 y x) y))
(E.f64)
(*.f64 (*.f64 y x) y)
(*.f64 y x)
y
x
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 y y) x) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 y y) x #s(literal 2 binary64))
(*.f64 y y)
y
x
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x)))
#s(literal 1/2 binary64)
(-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))
(*.f64 y (*.f64 y (*.f64 x x)))
y
(*.f64 y (*.f64 x x))
(*.f64 x x)
x
(-.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 y y)
#s(literal 1 binary64)
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x)))
#s(literal 1/2 binary64)
(-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))
(*.f64 (*.f64 y x) (*.f64 y x))
(*.f64 y x)
y
x
(-.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 y y)
#s(literal 1 binary64)
Outputs
(pow.f64 (E.f64) (*.f64 (*.f64 y x) y))
(pow.f64 (E.f64) (*.f64 (*.f64 x y) y))
(E.f64)
(*.f64 (*.f64 y x) y)
(*.f64 (*.f64 x y) y)
(*.f64 y x)
(*.f64 x y)
y
x
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y))
(*.f64 (*.f64 (*.f64 y y) x) x)
(*.f64 (*.f64 (*.f64 x x) y) y)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 x y) y)
(*.f64 y y)
y
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)))
(*.f64 #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 y y) x #s(literal 2 binary64))
(*.f64 y y)
y
x
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (-.f64 (fma.f64 (*.f64 (*.f64 x x) y) y x) (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (-.f64 (fma.f64 (*.f64 (*.f64 x x) y) y x) (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x)))
(*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) y) y x) (neg.f64 x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))
(-.f64 (fma.f64 (*.f64 (*.f64 x x) y) y x) (neg.f64 x))
(*.f64 y (*.f64 y (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) y) y)
y
(*.f64 y (*.f64 x x))
(*.f64 (*.f64 x x) y)
(*.f64 x x)
x
(-.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 y y)
#s(literal 1 binary64)
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (-.f64 (fma.f64 (*.f64 (*.f64 x x) y) y x) (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (-.f64 (fma.f64 (*.f64 (*.f64 x x) y) y x) (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x)))
(*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) y) y x) (neg.f64 x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))
(-.f64 (fma.f64 (*.f64 (*.f64 x x) y) y x) (neg.f64 x))
(*.f64 (*.f64 y x) (*.f64 y x))
(*.f64 (*.f64 (*.f64 x x) y) y)
(*.f64 y x)
(*.f64 x y)
y
x
(-.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 y y)
#s(literal 1 binary64)

localize556.0ms (6.6%)

Memory
-45.5MiB live, 450.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 x)
accuracy0.181972509768442
(*.f64 (*.f64 y x) (*.f64 y x))
accuracy0.9584173983820687
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
accuracy3.9215077674824648
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
accuracy0.9584173983820687
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
accuracy2.2118298377606234
(*.f64 y (*.f64 y (*.f64 x x)))
accuracy3.9215077674824648
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
accuracy5.035704991946775
(*.f64 y (*.f64 x x))
accuracy0.9584173983820687
(fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64))
accuracy1.454303863249816
(fma.f64 (*.f64 y y) x #s(literal 2 binary64))
accuracy2.1609955354767605
(*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)
accuracy3.9215077674824648
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64)))
accuracy3.9215077674824648
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
accuracy4.572172959893643
(*.f64 (*.f64 (*.f64 y y) x) x)
accuracy5.615523482136246
(*.f64 (*.f64 y y) x)
accuracy30.563204889593113
#s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64)))
accuracy0.0
(*.f64 y x)
accuracy0.006191259768442017
(pow.f64 (E.f64) (*.f64 (*.f64 y x) y))
accuracy0.0703125
(*.f64 (*.f64 y x) y)
accuracy14.046600647284274
(E.f64)
Samples
404.0ms198×0valid
50.0ms58×1exit
Compiler

Compiled 351 to 41 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 418.0ms
ival-mult: 374.0ms (89.4% of total)
ival-sub: 11.0ms (2.6% of total)
adjust: 7.0ms (1.7% of total)
ival-add: 7.0ms (1.7% of total)
ival-pow: 6.0ms (1.4% of total)
ival-cosh: 4.0ms (1% of total)
ival-e: 3.0ms (0.7% of total)
ival-neg: 3.0ms (0.7% of total)
ival-sinh: 2.0ms (0.5% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series45.0ms (0.5%)

Memory
9.0MiB live, 55.6MiB allocated
Counts
28 → 44
Calls
Call 1
Inputs
(pow.f64 (E.f64) (*.f64 (*.f64 y x) y))
(E.f64)
(*.f64 (*.f64 y x) y)
(*.f64 y x)
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)))
#s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))
(-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x)))
(-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x)))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 (*.f64 y y) x) x)
(*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 y y) x #s(literal 2 binary64))
(*.f64 y (*.f64 x x))
(*.f64 y (*.f64 y (*.f64 x x)))
(*.f64 (*.f64 y x) (*.f64 y x))
(neg.f64 x)
Outputs
1
(+ 1 (* x (* (pow y 2) (log (E)))))
(+ 1 (* x (+ (* 1/2 (* x (* (pow y 4) (pow (log (E)) 2)))) (* (pow y 2) (log (E))))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* (pow y 6) (pow (log (E)) 3)))) (* 1/2 (* (pow y 4) (pow (log (E)) 2))))) (* (pow y 2) (log (E))))))
(* x (pow y 2))
(* x y)
(+ 1 (* -1/2 (* x (- (* -1 (pow y 2)) (pow y 2)))))
(+ 1 (* x (- (* x (- (* 1/2 (pow y 4)) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2))))))
(+ 1 (* x (- (* x (- (+ (* 1/2 (pow y 4)) (* x (- (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* 1/2 (- (* -1/6 (pow y 6)) (+ (* -1/2 (pow y 6)) (+ (* 1/6 (pow y 6)) (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))))))))) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2))))))
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(* 1/2 (* (pow x 2) (pow y 2)))
(* 2 x)
(* x (+ 2 (* x (pow y 2))))
(* (pow x 2) (pow y 2))
2
(+ 2 (* x (pow y 2)))
(* (pow x 2) y)
(* -1 x)
(exp (* x (* (pow y 2) (log (E)))))
(- (* 1/2 (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2)))))) (* 1/2 (- (exp (* -1 (* x (pow y 2)))) (/ 1 (exp (* -1 (* x (pow y 2))))))))
(* 1/2 (* (pow x 2) (pow y 4)))
(* (pow x 2) (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)))
(* (pow x 2) (+ (* 1/2 (pow y 4)) (+ (/ 1 (pow x 2)) (/ (pow y 2) x))))
(* (pow x 2) (+ (* 1/2 (pow y 2)) (/ 1 x)))
(* (pow x 2) (+ (* 2 (/ 1 x)) (pow y 2)))
(* x (+ (* 2 (/ 1 x)) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))))
(* -1 (* x (- (* -1 (pow y 2)) (* 2 (/ 1 x)))))
(+ 1 (* (pow y 2) (+ (* 1/2 (* (pow x 2) (* (pow y 2) (pow (log (E)) 2)))) (* x (log (E))))))
(+ 1 (* (pow y 2) (+ (* x (log (E))) (* (pow y 2) (+ (* 1/6 (* (pow x 3) (* (pow y 2) (pow (log (E)) 3)))) (* 1/2 (* (pow x 2) (pow (log (E)) 2))))))))
(+ 1 (* -1/2 (* (pow y 2) (- (* -1 x) x))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* -1 x) x)))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* -1 x) x)))))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(+ (* 2 x) (* (pow x 2) (pow y 2)))
(* (pow y 4) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(* (pow y 4) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow y 4)) (/ x (pow y 2)))))
(* (pow y 2) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(* (pow y 2) (+ (* 2 (/ x (pow y 2))) (pow x 2)))
(* (pow y 2) (+ x (* 2 (/ 1 (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
14.0ms
y
@0
((pow (E) (* (* y x) y)) (E) (* (* y x) y) (* y x) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* (* (* (* y y) x) x) 1/2) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (- (* (* (* y y) x) x) (- (neg x) x)) (- (* y (* y (* x x))) (- (neg x) x)) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* y (* y (* x x))) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* y (* y (* x x))) (- (neg x) x))) (- (* (* y x) (* y x)) (- (neg x) x)) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* y x) (* y x)) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* y x) (* y x)) (- (neg x) x))) (* (* y y) x) (* (* (* y y) x) x) (* (+ (* (* y y) x) 2) x) (+ (* (* y y) x) 2) (* y (* x x)) (* y (* y (* x x))) (* (* y x) (* y x)) (neg x))
8.0ms
x
@-inf
((pow (E) (* (* y x) y)) (E) (* (* y x) y) (* y x) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* (* (* (* y y) x) x) 1/2) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (- (* (* (* y y) x) x) (- (neg x) x)) (- (* y (* y (* x x))) (- (neg x) x)) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* y (* y (* x x))) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* y (* y (* x x))) (- (neg x) x))) (- (* (* y x) (* y x)) (- (neg x) x)) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* y x) (* y x)) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* y x) (* y x)) (- (neg x) x))) (* (* y y) x) (* (* (* y y) x) x) (* (+ (* (* y y) x) 2) x) (+ (* (* y y) x) 2) (* y (* x x)) (* y (* y (* x x))) (* (* y x) (* y x)) (neg x))
7.0ms
x
@0
((pow (E) (* (* y x) y)) (E) (* (* y x) y) (* y x) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* (* (* (* y y) x) x) 1/2) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (- (* (* (* y y) x) x) (- (neg x) x)) (- (* y (* y (* x x))) (- (neg x) x)) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* y (* y (* x x))) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* y (* y (* x x))) (- (neg x) x))) (- (* (* y x) (* y x)) (- (neg x) x)) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* y x) (* y x)) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* y x) (* y x)) (- (neg x) x))) (* (* y y) x) (* (* (* y y) x) x) (* (+ (* (* y y) x) 2) x) (+ (* (* y y) x) 2) (* y (* x x)) (* y (* y (* x x))) (* (* y x) (* y x)) (neg x))
7.0ms
x
@inf
((pow (E) (* (* y x) y)) (E) (* (* y x) y) (* y x) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* (* (* (* y y) x) x) 1/2) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (- (* (* (* y y) x) x) (- (neg x) x)) (- (* y (* y (* x x))) (- (neg x) x)) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* y (* y (* x x))) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* y (* y (* x x))) (- (neg x) x))) (- (* (* y x) (* y x)) (- (neg x) x)) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* y x) (* y x)) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* y x) (* y x)) (- (neg x) x))) (* (* y y) x) (* (* (* y y) x) x) (* (+ (* (* y y) x) 2) x) (+ (* (* y y) x) 2) (* y (* x x)) (* y (* y (* x x))) (* (* y x) (* y x)) (neg x))
3.0ms
y
@-inf
((pow (E) (* (* y x) y)) (E) (* (* y x) y) (* y x) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* (* (* (* y y) x) x) 1/2) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (- (* (* (* y y) x) x) (- (neg x) x)) (- (* y (* y (* x x))) (- (neg x) x)) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* y (* y (* x x))) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* y (* y (* x x))) (- (neg x) x))) (- (* (* y x) (* y x)) (- (neg x) x)) (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (+ (* (* 1/2 (- (* (* y x) (* y x)) (- (neg x) x))) (* y y)) 1) (* 1/2 (- (* (* y x) (* y x)) (- (neg x) x))) (* (* y y) x) (* (* (* y y) x) x) (* (+ (* (* y y) x) 2) x) (+ (* (* y y) x) 2) (* y (* x x)) (* y (* y (* x x))) (* (* y x) (* y x)) (neg x))

simplify199.0ms (2.4%)

Memory
50.3MiB live, 271.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0204712
1748596
22889536
08288489
Stop Event
1×iter limit
1×node limit
Counts
44 → 43
Calls
Call 1
Inputs
1
(+ 1 (* x (* (pow y 2) (log (E)))))
(+ 1 (* x (+ (* 1/2 (* x (* (pow y 4) (pow (log (E)) 2)))) (* (pow y 2) (log (E))))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* (pow y 6) (pow (log (E)) 3)))) (* 1/2 (* (pow y 4) (pow (log (E)) 2))))) (* (pow y 2) (log (E))))))
(* x (pow y 2))
(* x y)
(+ 1 (* -1/2 (* x (- (* -1 (pow y 2)) (pow y 2)))))
(+ 1 (* x (- (* x (- (* 1/2 (pow y 4)) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2))))))
(+ 1 (* x (- (* x (- (+ (* 1/2 (pow y 4)) (* x (- (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* 1/2 (- (* -1/6 (pow y 6)) (+ (* -1/2 (pow y 6)) (+ (* 1/6 (pow y 6)) (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))))))))) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2))))))
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(* 1/2 (* (pow x 2) (pow y 2)))
(* 2 x)
(* x (+ 2 (* x (pow y 2))))
(* (pow x 2) (pow y 2))
2
(+ 2 (* x (pow y 2)))
(* (pow x 2) y)
(* -1 x)
(exp (* x (* (pow y 2) (log (E)))))
(- (* 1/2 (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2)))))) (* 1/2 (- (exp (* -1 (* x (pow y 2)))) (/ 1 (exp (* -1 (* x (pow y 2))))))))
(* 1/2 (* (pow x 2) (pow y 4)))
(* (pow x 2) (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)))
(* (pow x 2) (+ (* 1/2 (pow y 4)) (+ (/ 1 (pow x 2)) (/ (pow y 2) x))))
(* (pow x 2) (+ (* 1/2 (pow y 2)) (/ 1 x)))
(* (pow x 2) (+ (* 2 (/ 1 x)) (pow y 2)))
(* x (+ (* 2 (/ 1 x)) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))))
(* -1 (* x (- (* -1 (pow y 2)) (* 2 (/ 1 x)))))
(+ 1 (* (pow y 2) (+ (* 1/2 (* (pow x 2) (* (pow y 2) (pow (log (E)) 2)))) (* x (log (E))))))
(+ 1 (* (pow y 2) (+ (* x (log (E))) (* (pow y 2) (+ (* 1/6 (* (pow x 3) (* (pow y 2) (pow (log (E)) 3)))) (* 1/2 (* (pow x 2) (pow (log (E)) 2))))))))
(+ 1 (* -1/2 (* (pow y 2) (- (* -1 x) x))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* -1 x) x)))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* -1 x) x)))))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(+ (* 2 x) (* (pow x 2) (pow y 2)))
(* (pow y 4) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(* (pow y 4) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow y 4)) (/ x (pow y 2)))))
(* (pow y 2) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(* (pow y 2) (+ (* 2 (/ x (pow y 2))) (pow x 2)))
(* (pow y 2) (+ x (* 2 (/ 1 (pow y 2)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (* (pow y 2) (log (E)))))
(fma.f64 (*.f64 x y) y #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (* (pow y 4) (pow (log (E)) 2)))) (* (pow y 2) (log (E))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* (pow y 6) (pow (log (E)) 3)))) (* 1/2 (* (pow y 4) (pow (log (E)) 2))))) (* (pow y 2) (log (E))))))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64))) x (*.f64 y y)) x #s(literal 1 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x y)
(*.f64 x y)
(+ 1 (* -1/2 (* x (- (* -1 (pow y 2)) (pow y 2)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* 1/2 (pow y 4)) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (*.f64 (*.f64 y y) #s(literal 2 binary64)))) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (+ (* 1/2 (pow y 4)) (* x (- (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* 1/2 (- (* -1/6 (pow y 6)) (+ (* -1/2 (pow y 6)) (+ (* 1/6 (pow y 6)) (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))))))))) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* -1 (pow y 2)) (pow y 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) x (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 x y) y #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* 1/2 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 x y) y #s(literal 2 binary64)) x)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
2
#s(literal 2 binary64)
(+ 2 (* x (pow y 2)))
(fma.f64 (*.f64 x y) y #s(literal 2 binary64))
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* -1 x)
(neg.f64 x)
(exp (* x (* (pow y 2) (log (E)))))
(pow.f64 (exp.f64 y) (*.f64 x y))
(- (* 1/2 (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2)))))) (* 1/2 (- (exp (* -1 (* x (pow y 2)))) (/ 1 (exp (* -1 (* x (pow y 2))))))))
(*.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) y)) y) (pow.f64 (exp.f64 y) (*.f64 x y))) (-.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) y)) y) (pow.f64 (exp.f64 y) (*.f64 x y)))) #s(literal 1/2 binary64))
(* 1/2 (* (pow x 2) (pow y 4)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)))
(*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x)
(* (pow x 2) (+ (* 1/2 (pow y 4)) (+ (/ 1 (pow x 2)) (/ (pow y 2) x))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (pow y 2)) (/ 1 x)))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* 2 (/ 1 x)) (pow y 2)))
(*.f64 (fma.f64 (*.f64 x y) y #s(literal 2 binary64)) x)
(* x (+ (* 2 (/ 1 x)) (pow y 2)))
(fma.f64 (*.f64 x y) y #s(literal 2 binary64))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (*.f64 x x))
(* -1 (* x (- (* -1 (pow y 2)) (* 2 (/ 1 x)))))
(*.f64 (fma.f64 y y (neg.f64 (/.f64 #s(literal -2 binary64) x))) x)
(+ 1 (* (pow y 2) (+ (* 1/2 (* (pow x 2) (* (pow y 2) (pow (log (E)) 2)))) (* x (log (E))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ (* x (log (E))) (* (pow y 2) (+ (* 1/6 (* (pow x 3) (* (pow y 2) (pow (log (E)) 3)))) (* 1/2 (* (pow x 2) (pow (log (E)) 2))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) y (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64)) x)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* -1/2 (* (pow y 2) (- (* -1 x) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* -1 x) x)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x y) y #s(literal 2 binary64)) x)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* -1 x) x)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 y y))) (*.f64 y y) (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 y y)) x #s(literal 1 binary64))
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+ (* 2 x) (* (pow x 2) (pow y 2)))
(*.f64 (fma.f64 (*.f64 x y) y #s(literal 2 binary64)) x)
(* (pow y 4) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow y 4)) (/ x (pow y 2)))))
(fma.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) #s(literal 1/2 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* (pow y 2) (+ (* 2 (/ x (pow y 2))) (pow x 2)))
(*.f64 (fma.f64 (*.f64 x y) y #s(literal 2 binary64)) x)
(* (pow y 2) (+ x (* 2 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 x y) y #s(literal 2 binary64))

rewrite299.0ms (3.6%)

Memory
-23.9MiB live, 229.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051442
080398
1313366
21823366
08210366
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 619
Calls
Call 1
Inputs
(pow.f64 (E.f64) (*.f64 (*.f64 y x) y))
(E.f64)
(*.f64 (*.f64 y x) y)
(*.f64 y x)
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)))
#s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))
(-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x)))
(-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x)))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 (*.f64 y y) x) x)
(*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 y y) x #s(literal 2 binary64))
(*.f64 y (*.f64 x x))
(*.f64 y (*.f64 y (*.f64 x x)))
(*.f64 (*.f64 y x) (*.f64 y x))
(neg.f64 x)
Outputs
(*.f64 (neg.f64 (neg.f64 (pow.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (*.f64 y y)))) (neg.f64 (neg.f64 (pow.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (*.f64 y y)))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (/.f64 (*.f64 y y) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (/.f64 (*.f64 y y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (/.f64 (*.f64 y y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (pow.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (/.f64 (*.f64 y y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (/.f64 (*.f64 y y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 (E.f64)) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (pow.f64 (neg.f64 (E.f64)) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (/.f64 (*.f64 y y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (/.f64 (fma.f64 (*.f64 y y) x (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (/.f64 (fma.f64 (*.f64 y y) x (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 (fma.f64 (*.f64 y y) x (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (E.f64)) (/.f64 (fma.f64 (*.f64 y y) x (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) (/.f64 (fma.f64 (*.f64 y y) x (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 (fma.f64 (*.f64 y y) x (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))))
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (*.f64 (*.f64 y y) x)) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) (*.f64 (*.f64 y y) x)))
(*.f64 (neg.f64 (pow.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (*.f64 y y))) (neg.f64 (pow.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (*.f64 y y))))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (/.f64 (*.f64 y y) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (/.f64 (*.f64 y y) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (/.f64 (*.f64 y y) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (*.f64 y y)) (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (*.f64 y y)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (*.f64 y y)) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (*.f64 y y)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (*.f64 y y)) (pow.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (*.f64 y y)))
(pow.f64 (*.f64 (pow.f64 (E.f64) (*.f64 x y)) (pow.f64 (E.f64) (*.f64 x y))) (/.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (pow.f64 (E.f64) x) (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 y)))
(pow.f64 (pow.f64 (pow.f64 (E.f64) x) (neg.f64 y)) (neg.f64 y))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 y y)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x y)) (/.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (/.f64 (*.f64 y y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (E.f64) (*.f64 (neg.f64 x) y)) (neg.f64 y))
(pow.f64 (pow.f64 (E.f64) (neg.f64 x)) (*.f64 (neg.f64 y) y))
(pow.f64 (pow.f64 (E.f64) (*.f64 (neg.f64 y) y)) (neg.f64 x))
(pow.f64 (pow.f64 (E.f64) (neg.f64 (neg.f64 y))) (*.f64 x y))
(pow.f64 (pow.f64 (E.f64) (neg.f64 y)) (*.f64 (neg.f64 x) y))
(pow.f64 (neg.f64 (pow.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (*.f64 y y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (E.f64) y) y) x)
(pow.f64 (pow.f64 (E.f64) x) (*.f64 y y))
(pow.f64 (pow.f64 (E.f64) y) (*.f64 x y))
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (*.f64 y y)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (E.f64)) (fma.f64 (*.f64 y y) x (*.f64 (*.f64 y y) x)))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 y y) x (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 y y) x (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 y y) x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 y y) x (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))))
(pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) (/.f64 (fma.f64 (*.f64 y y) x (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))))
(pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 y y) x)))
(pow.f64 (pow.f64 (E.f64) (*.f64 x y)) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))
(pow.f64 (pow.f64 (E.f64) (*.f64 x y)) y)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (E.f64) y) y) x) #s(literal 1 binary64))
(pow.f64 (E.f64) (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))))
(pow.f64 (E.f64) (fma.f64 x (/.f64 (*.f64 y y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))))
(pow.f64 (E.f64) (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))))
(pow.f64 (E.f64) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 (E.f64) (*.f64 (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))))
(pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) x (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))))
(pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))))
(pow.f64 (E.f64) (/.f64 (fma.f64 (*.f64 y y) x (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)))
(pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)))
(pow.f64 (E.f64) (*.f64 (*.f64 y y) x))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (E.f64) x) (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 (neg.f64 y) y) x)))
(fabs.f64 (pow.f64 (pow.f64 (pow.f64 (E.f64) y) y) x))
(exp.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (E.f64) y) y)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (E.f64) x)) (*.f64 y y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (E.f64) y)) (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (*.f64 y y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) x (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)))
(+.f64 (cosh.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) (sinh.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (E.f64)))) (neg.f64 (neg.f64 (sqrt.f64 (E.f64)))))
(*.f64 (sqrt.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64)))) (exp.f64 #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 2 binary64))) (cbrt.f64 (E.f64)))
(*.f64 (sqrt.f64 (neg.f64 (E.f64))) (sqrt.f64 (neg.f64 (E.f64))))
(*.f64 (sqrt.f64 (exp.f64 #s(literal 3/2 binary64))) (exp.f64 #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (exp.f64 #s(literal 5/2 binary64))) (exp.f64 #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2/3 binary64)))) (exp.f64 #s(literal 1/9 binary64)))
(*.f64 (cbrt.f64 (exp.f64 #s(literal 3/2 binary64))) (cbrt.f64 (exp.f64 #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (exp.f64 #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (exp.f64 #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 #s(literal 1/9 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (E.f64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (E.f64))) (neg.f64 (sqrt.f64 (E.f64))))
(*.f64 (exp.f64 #s(literal 1/4 binary64)) (sqrt.f64 (exp.f64 #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (E.f64)) (log.f64 (exp.f64 (sqrt.f64 (E.f64)))))
(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (cbrt.f64 (E.f64)))
(*.f64 (cbrt.f64 (E.f64)) (sqrt.f64 (exp.f64 #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (E.f64)) (log.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (E.f64)) (exp.f64 #s(literal 2/3 binary64)))
(pow.f64 (neg.f64 (sqrt.f64 (E.f64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (E.f64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x)))) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x)))) #s(literal 8 binary64))) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x))))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x)))))
(fma.f64 (neg.f64 (neg.f64 y)) (*.f64 x y) #s(literal 2 binary64))
(fma.f64 (*.f64 (neg.f64 x) y) (neg.f64 y) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 y) y) #s(literal 2 binary64))
(fma.f64 (*.f64 y y) x #s(literal 2 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (neg.f64 x) #s(literal 2 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 x) y) #s(literal 2 binary64))
(fma.f64 (*.f64 x y) y #s(literal 2 binary64))
(fma.f64 x (*.f64 y y) #s(literal 2 binary64))
(fma.f64 y (*.f64 x y) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 y) y) x))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x))))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x))))))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x))))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x))))) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) x))
(+.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))
(*.f64 (*.f64 (neg.f64 x) y) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) y))
(*.f64 (*.f64 x x) y)
(*.f64 (*.f64 x y) x)
(*.f64 x (*.f64 x y))
(*.f64 y (*.f64 x x))
(fabs.f64 (*.f64 (neg.f64 y) (*.f64 x x)))
(fabs.f64 (*.f64 (*.f64 x x) y))
(*.f64 (neg.f64 (*.f64 (neg.f64 y) (neg.f64 x))) (neg.f64 (*.f64 (neg.f64 y) (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) y))) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) y))))
(*.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 (*.f64 x y))))
(*.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 x)))
(*.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (neg.f64 (*.f64 (neg.f64 x) y)))
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) (neg.f64 x))
(*.f64 (*.f64 (*.f64 x x) y) y)
(*.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (*.f64 (*.f64 y y) x) x)
(*.f64 (*.f64 y y) (*.f64 x x))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 (*.f64 x y) (*.f64 x y))
(*.f64 x (*.f64 (*.f64 y y) x))
(*.f64 y (*.f64 (*.f64 x x) y))
(pow.f64 (exp.f64 (log.f64 (*.f64 x y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 y) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 (neg.f64 x) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 x y)))
(neg.f64 (*.f64 (*.f64 x y) (*.f64 (neg.f64 x) y)))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 x y)))
(fabs.f64 (*.f64 (*.f64 x y) (*.f64 (neg.f64 x) y)))
(fabs.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) y)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (*.f64 (neg.f64 y) (neg.f64 x))) (neg.f64 (*.f64 (neg.f64 y) (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) y))) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) y))))
(*.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 (*.f64 x y))))
(*.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 x)))
(*.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (neg.f64 (*.f64 (neg.f64 x) y)))
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) (neg.f64 x))
(*.f64 (*.f64 (*.f64 x x) y) y)
(*.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (*.f64 (*.f64 y y) x) x)
(*.f64 (*.f64 y y) (*.f64 x x))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 (*.f64 x y) (*.f64 x y))
(*.f64 x (*.f64 (*.f64 y y) x))
(*.f64 y (*.f64 (*.f64 x x) y))
(pow.f64 (exp.f64 (log.f64 (*.f64 x y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 y) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 (neg.f64 x) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 x y)))
(neg.f64 (*.f64 (*.f64 x y) (*.f64 (neg.f64 x) y)))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 x y)))
(fabs.f64 (*.f64 (*.f64 x y) (*.f64 (neg.f64 x) y)))
(fabs.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) y)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(neg.f64 x)

eval128.0ms (1.5%)

Memory
6.9MiB live, 138.4MiB allocated
Compiler

Compiled 22 471 to 2 207 computations (90.2% saved)

prune24.0ms (0.3%)

Memory
-9.8MiB live, 45.9MiB allocated
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New5384542
Fresh000
Picked415
Done044
Total5429551
Accuracy
100.0%
Counts
551 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(pow.f64 (E.f64) (*.f64 (*.f64 y x) y))
✓100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
73.1%
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y)) y #s(literal 1 binary64)))
54.3%
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
62.1%
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
62.1%
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
✓67.5%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
✓65.3%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
✓50.3%
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Compiler

Compiled 647 to 239 computations (63.1% saved)

regimes22.0ms (0.3%)

Memory
-14.0MiB live, 31.8MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y)) y #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 x y) y))
(pow.f64 (E.f64) (*.f64 (*.f64 y x) y))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 y x) y))
(-.f64 (cosh.f64 (*.f64 (*.f64 y x) y)) (sinh.f64 (*.f64 (*.f64 (neg.f64 y) y) x)))
Outputs
(pow.f64 (E.f64) (*.f64 (*.f64 y x) y))
Calls

4 calls:

7.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
5.0ms
x
5.0ms
y
4.0ms
(*.f64 (*.f64 x y) y)
Results
AccuracySegmentsBranch
100.0%1(*.f64 (*.f64 x y) y)
100.0%1(exp.f64 (*.f64 (*.f64 x y) y))
100.0%1x
100.0%1y
Compiler

Compiled 13 to 13 computations (0% saved)

regimes21.0ms (0.3%)

Memory
22.6MiB live, 22.6MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y)) y #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 x y) y))
Outputs
(exp.f64 (*.f64 (*.f64 x y) y))
Calls

4 calls:

6.0ms
x
5.0ms
(*.f64 (*.f64 x y) y)
5.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
4.0ms
y
Results
AccuracySegmentsBranch
100.0%1(*.f64 (*.f64 x y) y)
100.0%1(exp.f64 (*.f64 (*.f64 x y) y))
100.0%1x
100.0%1y
Compiler

Compiled 13 to 13 computations (0% saved)

regimes67.0ms (0.8%)

Memory
-27.8MiB live, 17.6MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y)) y #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) (*.f64 y x)) (-.f64 (neg.f64 x) x))) (*.f64 y y) #s(literal 1 binary64)))
Outputs
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64)))
Calls

4 calls:

56.0ms
(*.f64 (*.f64 x y) y)
4.0ms
x
4.0ms
y
3.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
73.1%1(*.f64 (*.f64 x y) y)
73.1%1(exp.f64 (*.f64 (*.f64 x y) y))
73.1%1x
73.1%1y
Compiler

Compiled 13 to 13 computations (0% saved)

regimes12.0ms (0.1%)

Memory
11.8MiB live, 11.7MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
Outputs
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
Calls

4 calls:

3.0ms
(*.f64 (*.f64 x y) y)
3.0ms
x
2.0ms
y
2.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
72.7%1(*.f64 (*.f64 x y) y)
72.7%1x
72.7%1(exp.f64 (*.f64 (*.f64 x y) y))
72.7%1y
Compiler

Compiled 13 to 13 computations (0% saved)

regimes12.0ms (0.1%)

Memory
13.6MiB live, 13.7MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
Calls

4 calls:

4.0ms
y
3.0ms
x
2.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
2.0ms
(*.f64 (*.f64 x y) y)
Results
AccuracySegmentsBranch
72.2%3(*.f64 (*.f64 x y) y)
69.9%2(exp.f64 (*.f64 (*.f64 x y) y))
71.1%3x
72.7%3y
Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
Calls

4 calls:

2.0ms
y
2.0ms
x
1.0ms
(*.f64 (*.f64 x y) y)
1.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
67.5%1x
67.5%1(exp.f64 (*.f64 (*.f64 x y) y))
67.5%1(*.f64 (*.f64 x y) y)
67.5%1y
Compiler

Compiled 13 to 13 computations (0% saved)

regimes37.0ms (0.4%)

Memory
-31.8MiB live, 14.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
Calls

4 calls:

2.0ms
(*.f64 (*.f64 x y) y)
2.0ms
x
1.0ms
y
1.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
65.3%1(*.f64 (*.f64 x y) y)
65.3%1x
65.3%1(exp.f64 (*.f64 (*.f64 x y) y))
65.3%1y
Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.1%)

Memory
15.1MiB live, 15.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Calls

4 calls:

1.0ms
y
1.0ms
x
1.0ms
(*.f64 (*.f64 x y) y)
1.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
50.3%1(*.f64 (*.f64 x y) y)
50.3%1x
50.3%1y
50.3%1(exp.f64 (*.f64 (*.f64 x y) y))
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch18.0ms (0.2%)

Memory
-13.5MiB live, 38.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
9.0ms
1.4886470094769634e+153
2.4471484529757512e+153
8.0ms
1.0831748741627547e-111
3.7055402828455597e-110
Samples
7.0ms144×0valid
Compiler

Compiled 497 to 342 computations (31.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (60.3% of total)
ival-exp: 1.0ms (30.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify63.0ms (0.8%)

Memory
21.4MiB live, 66.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060207
199207
2207183
3560183
41941183
57629183
Stop Event
1×node limit
Calls
Call 1
Inputs
(pow.f64 (E.f64) (*.f64 (*.f64 y x) y))
(exp.f64 (*.f64 (*.f64 x y) y))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal 3384606560206073/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1850000000000000120452759280416821015390228817933062386074726766214809137956453102753279097263863684598979189594710422848609894356830714047403790342029312 binary64)) #s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Outputs
(pow.f64 (E.f64) (*.f64 (*.f64 y x) y))
(exp.f64 (*.f64 (*.f64 x y) y))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* (* (* y y) x) x) (- (neg x) x)) (*.f64 (fma.f64 (*.f64 y y) x #s(literal 2 binary64)) x))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal 3384606560206073/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1850000000000000120452759280416821015390228817933062386074726766214809137956453102753279097263863684598979189594710422848609894356830714047403790342029312 binary64)) #s(approx (- (cosh (* (* y x) y)) (sinh (* (* (neg y) y) x))) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 3384606560206073/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1850000000000000120452759280416821015390228817933062386074726766214809137956453102753279097263863684598979189594710422848609894356830714047403790342029312 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 #s(approx (* 1/2 (- (* (* (* y y) x) x) (- (neg x) x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

soundness1.8s (21.3%)

Memory
-6.4MiB live, 1 044.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01871
02971
19463
252663
3624063
0829363
051442
080398
1313366
21823366
08210366
04498
114698
254098
3231998
4612398
0817687
02471045
1951863
24680669
09219622
0176638
1615568
22460495
09143457
030128
044126
1166117
21153107
08235107
0514
0814
11714
26014
338214
4500314
0865014
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×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 369 to 187 computations (49.3% saved)

preprocess113.0ms (1.4%)

Memory
-7.0MiB live, 102.6MiB allocated
Remove

(abs y)

Compiler

Compiled 434 to 164 computations (62.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...