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

Time bar (total: 6.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
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)

sample728.0ms (10.6%)

Memory
41.1MiB live, 1 031.6MiB allocated
Samples
476.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 247.0ms
ival-mult: 164.0ms (66.3% of total)
ival-exp: 75.0ms (30.3% of total)
ival-true: 6.0ms (2.4% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

explain64.0ms (0.9%)

Memory
4.8MiB live, 101.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-1(-4.861424633526641e+221 -1.3207695602888688e-110)(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 -
+01
-0255
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+010
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+010
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms512×0valid
Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-exp: 8.0ms (54.2% of total)
ival-mult: 7.0ms (47.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess133.0ms (1.9%)

Memory
17.6MiB live, 206.8MiB allocated
Algorithm
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
iter limit
node limit
iter limit
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
0.9MiB live, 0.9MiB 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)

simplify128.0ms (1.9%)

Memory
2.8MiB live, 140.1MiB allocated
Algorithm
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
iter limit
node limit
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

localize80.0ms (1.2%)

Memory
-37.8MiB live, 69.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy0.020036261784941275
(exp.f64 (*.f64 (*.f64 x y) y))
accuracy0.109375
(*.f64 (*.f64 x y) y)
Samples
75.0ms256×0valid
Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-exp: 63.0ms (93.9% of total)
ival-mult: 3.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB 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))

simplify160.0ms (2.3%)

Memory
8.1MiB live, 240.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04498
114698
254098
3231998
4612398
0817687
Stop Event
iter limit
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))

rewrite345.0ms (5%)

Memory
17.4MiB live, 376.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
0814
11714
26014
338214
4500314
0865014
Stop Event
iter limit
node limit
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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(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))

eval126.0ms (1.8%)

Memory
-12.1MiB live, 145.2MiB allocated
Compiler

Compiled 7 330 to 845 computations (88.5% saved)

prune4.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2812283
Fresh000
Picked011
Done000
Total2813284
Accuracy
100.0%
Counts
284 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
72.4%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
54.5%
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify153.0ms (2.2%)

Memory
-2.6MiB live, 224.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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: 0 (0.0ms)

IterNodesCost
01034
01334
13134
28234
323834
453334
5202234
6500334
7756734
0804934
Stop Event
iter limit
node limit
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)
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)

localize53.0ms (0.8%)

Memory
8.0MiB live, 55.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy2.6048755409721216
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
accuracy19.755799840814596
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
accuracy29.147680066851535
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Samples
16.0ms256×0valid
Compiler

Compiled 28 to 11 computations (60.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (63.3% of total)
ival-exp: 2.0ms (21.1% of total)
ival-add: 1.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
9.6MiB live, 9.5MiB allocated
Counts
4 → 12
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)
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))))
(exp (* x (pow y 2)))
(* x (pow y 2))
(* x (+ (/ 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)
(* (pow y 2) (+ x (/ 1 (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y))
0.0ms
y
@-inf
((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y))
0.0ms
x
@-inf
((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y))
0.0ms
y
@0
((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y))
0.0ms
x
@inf
((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y))

simplify204.0ms (3%)

Memory
-28.2MiB live, 262.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054127
1176127
2627127
32781125
46828125
08074112
Stop Event
iter limit
node limit
Counts
12 → 12
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))))
(exp (* x (pow y 2)))
(* x (pow y 2))
(* x (+ (/ 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)
(* (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))
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 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 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))

rewrite187.0ms (2.7%)

Memory
12.0MiB live, 195.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
01330
14830
225730
3246730
0877030
Stop Event
iter limit
node limit
iter limit
Counts
4 → 144
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)
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 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (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))) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #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 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #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 y) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.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 y) x)))
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 y y) x #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 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -2 binary64)))) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #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 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 #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 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 x (fma.f64 (*.f64 y y) x #s(literal 1 binary64))))) (pow.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal 2 binary64)))
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(fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (pow.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(fma.f64 y (fabs.f64 (*.f64 (fabs.f64 x) y)) #s(literal 1 binary64))
(fma.f64 y (exp.f64 (log.f64 (*.f64 y x))) #s(literal 1 binary64))
(fma.f64 y (pow.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (fabs.f64 x) y) #s(literal 1 binary64))
(fma.f64 y (*.f64 y x) #s(literal 1 binary64))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.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 (*.f64 y y) x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.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 (*.f64 y y) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #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 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #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 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 4 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #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 (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal 1 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 (pow.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3/2 binary64))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #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 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(+.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #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 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 y y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(fabs.f64 (*.f64 y y))
(exp.f64 (/.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 y) y))

eval17.0ms (0.2%)

Memory
32.4MiB live, 32.4MiB allocated
Compiler

Compiled 5 083 to 587 computations (88.5% saved)

prune26.0ms (0.4%)

Memory
-31.1MiB live, 14.3MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1475152
Fresh000
Picked112
Done011
Total1487155
Accuracy
100.0%
Counts
155 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
67.1%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
69.1%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
61.8%
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64)))
21.0%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))
72.3%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
54.5%
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Compiler

Compiled 232 to 148 computations (36.2% saved)

simplify214.0ms (3.1%)

Memory
28.1MiB live, 125.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
cost-diff0
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y)
cost-diff0
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
(sqrt.f64 (*.f64 (*.f64 y y) x))
cost-diff0
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64)))
cost-diff8
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64))
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)))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))
cost-diff0
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))
cost-diff0
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036321
059301
1114301
2383301
32097301
46444301
08478301
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 x)
x
(-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#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 (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y)
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
(*.f64 x x)
x
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))
#s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* y y) x) 1) (*.f64 (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(neg.f64 x)
x
(-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#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 (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.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)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(sqrt.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) y) y #s(literal 1 binary64)) x) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) y) y #s(literal 1 binary64)) x) (*.f64 y y) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y)
(*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) y) y) y y))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) y) y #s(literal 1 binary64)) x)
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x)
(*.f64 x x)
x
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize157.0ms (2.3%)

Memory
-25.7MiB live, 106.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy2.8518861117938403
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
accuracy3.5345955443749872
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
accuracy4.44926671799961
(*.f64 (*.f64 y y) x)
accuracy4.726708634937057
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
accuracy0.056972509768442016
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64))
accuracy4.44926671799961
(*.f64 (*.f64 y y) x)
accuracy7.522369488691089
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64)))
accuracy12.919294237510192
(sqrt.f64 (*.f64 (*.f64 y y) x))
accuracy0.0
(*.f64 y x)
accuracy0.03515625
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
accuracy7.522369488691089
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
accuracy0.0
(*.f64 y y)
accuracy4.44926671799961
(*.f64 (*.f64 y y) x)
accuracy7.522369488691089
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))
accuracy18.335850629629608
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))
accuracy0.0
#s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))
accuracy0.00390625
(-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))
accuracy2.1481683344922358
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
accuracy7.522369488691089
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
Samples
48.0ms110×0invalid
32.0ms146×0valid
Compiler

Compiled 237 to 34 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-div: 25.0ms (39.2% of total)
ival-mult: 21.0ms (32.9% of total)
ival-add: 6.0ms (9.4% of total)
const: 3.0ms (4.7% of total)
ival-exp: 2.0ms (3.1% of total)
ival-sqrt: 2.0ms (3.1% of total)
ival-neg: 2.0ms (3.1% of total)
ival-sub: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
26.3MiB live, 26.3MiB allocated
Counts
20 → 66
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 x)
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
#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)
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (*.f64 y y) x))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y)
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
(-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
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 x)
(* x (pow y 2))
(* x y)
(* (sqrt x) y)
(* x (+ y (* 1/2 (* x (pow y 3)))))
(* x (+ y (* x (+ (* 1/6 (* x (pow y 5))) (* 1/2 (pow y 3))))))
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2))))))
(/ -1 x)
(/ (- (* -1 (* x (pow y 2))) 1) x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 (* x (pow y 2)))))
(exp (* x (pow y 2)))
(* x (+ (/ 1 x) (pow y 2)))
(* 1/6 (* (pow x 3) (pow y 6)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x))))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2))))))
(* 1/6 (* (pow x 3) (pow y 5)))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (* 1/2 (/ (pow y 3) x))))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (+ (* 1/2 (/ (pow y 3) x)) (/ y (pow x 2)))))
(* 1/6 (* (pow x 3) (pow y 4)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))
(* -1 (pow y 2))
(- (* -1 (pow y 2)) (/ 1 x))
(* 1/6 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* x (- (* (pow y 2) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 5)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 3)) (/ y x)) x)) (* -1/6 (pow y 5)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4)))))
(* -1 (* (pow x 3) (- (* -1/6 (pow y 2)) (* 1/2 (/ 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)
(* y (+ x (* 1/2 (* (pow x 2) (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))
(+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4))))))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* -1 (* (pow y 2) (+ 1 (/ 1 (* x (pow y 2))))))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* -1 (* (sqrt x) y))
(* -1 (* (pow y 5) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3)))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3))))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (- (* (neg y) y) (/ 1 x)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)))
4.0ms
x
@inf
((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (- (* (neg y) y) (/ 1 x)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)))
3.0ms
y
@inf
((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (- (* (neg y) y) (/ 1 x)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)))
3.0ms
x
@0
((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (- (* (neg y) y) (/ 1 x)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)))
3.0ms
y
@-inf
((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (- (* (neg y) y) (/ 1 x)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)))

simplify527.0ms (7.7%)

Memory
-3.3MiB live, 243.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0224951
1795933
23329907
08227841
Stop Event
iter limit
node limit
Counts
66 → 65
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 x)
(* x (pow y 2))
(* x y)
(* (sqrt x) y)
(* x (+ y (* 1/2 (* x (pow y 3)))))
(* x (+ y (* x (+ (* 1/6 (* x (pow y 5))) (* 1/2 (pow y 3))))))
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2))))))
(/ -1 x)
(/ (- (* -1 (* x (pow y 2))) 1) x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 (* x (pow y 2)))))
(exp (* x (pow y 2)))
(* x (+ (/ 1 x) (pow y 2)))
(* 1/6 (* (pow x 3) (pow y 6)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x))))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2))))))
(* 1/6 (* (pow x 3) (pow y 5)))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (* 1/2 (/ (pow y 3) x))))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (+ (* 1/2 (/ (pow y 3) x)) (/ y (pow x 2)))))
(* 1/6 (* (pow x 3) (pow y 4)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))
(* -1 (pow y 2))
(- (* -1 (pow y 2)) (/ 1 x))
(* 1/6 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* x (- (* (pow y 2) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 5)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 3)) (/ y x)) x)) (* -1/6 (pow y 5)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4)))))
(* -1 (* (pow x 3) (- (* -1/6 (pow y 2)) (* 1/2 (/ 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)
(* y (+ x (* 1/2 (* (pow x 2) (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))
(+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4))))))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* -1 (* (pow y 2) (+ 1 (/ 1 (* x (pow y 2))))))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* -1 (* (sqrt x) y))
(* -1 (* (pow y 5) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3)))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3))))))
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 x)
(neg.f64 x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x y)
(*.f64 y x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* x (+ y (* 1/2 (* x (pow y 3)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal 3 binary64)) y) x)
(* x (+ y (* x (+ (* 1/6 (* x (pow y 5))) (* 1/2 (pow y 3))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))) x y) x)
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 (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x #s(literal 1 binary64)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 (* x (pow y 2))) 1) x)
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) y) y) #s(literal 1 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* 1/6 (* x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) 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))
(* 1/6 (* (pow x 3) (pow y 6)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x))))
(*.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (* (pow x 3) (pow y 5)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 5 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (* 1/2 (/ (pow y 3) x))))
(*.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (+ (* 1/2 (/ (pow y 3) x)) (/ y (pow x 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (/.f64 y x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (* (pow x 3) (pow y 4)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(- (* -1 (pow y 2)) (/ 1 x))
(-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(* 1/6 (* (pow x 3) (pow y 2)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) y) y)
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 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 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(*.f64 (*.f64 y y) x)
(* -1 (* x (- (* (pow y 2) (pow (sqrt -1) 2)) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 6 binary64)) (/.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))) (neg.f64 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 5)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 3)) (/ y x)) x)) (* -1/6 (pow y 5)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (/.f64 y x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4)))))
(*.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4)))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y (/.f64 #s(literal -1/2 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 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x #s(literal 1 binary64)) x) (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* y (+ x (* 1/2 (* (pow x 2) (pow y 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal 3 binary64)) y) x)
(* y (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x #s(literal 1 binary64)) x) y)
(+ 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)
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x #s(literal 1 binary64)) x)
(+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x)
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4))))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* -1 (* (pow y 2) (+ 1 (/ 1 (* x (pow y 2))))))
(neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 y y)))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (*.f64 y y))
(* -1 (* (sqrt x) y))
(*.f64 (neg.f64 y) (sqrt.f64 x))
(* -1 (* (pow y 5) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3)))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3))))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64)))

rewrite329.0ms (4.8%)

Memory
1.3MiB live, 390.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036269
059249
1201248
21333239
08528235
Stop Event
iter limit
node limit
iter limit
Counts
20 → 530
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 x)
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
#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)
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (*.f64 y y) x))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y)
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
(-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
Outputs
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))))
#s(approx (+ (* (* y y) x) 1) (*.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x)))
(*.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))
(*.f64 (neg.f64 x) (-.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64))))
(*.f64 x (neg.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) (neg.f64 x))) (neg.f64 (fma.f64 y y (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal -3 binary64))) (neg.f64 x))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))))) (neg.f64 (fma.f64 y y (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal -3 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) (neg.f64 x)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64))))
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(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 y y (pow.f64 x #s(literal -1 binary64)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))))
(*.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) #s(literal 1/4 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 1/8 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) #s(literal 1/4 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 1/8 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) #s(literal 1/4 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) (neg.f64 x)) (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) x) x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))

eval183.0ms (2.7%)

Memory
-19.9MiB live, 254.3MiB allocated
Compiler

Compiled 28 704 to 3 202 computations (88.8% saved)

prune66.0ms (1%)

Memory
12.7MiB live, 59.5MiB allocated
Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New78211793
Fresh000
Picked235
Done022
Total78416800
Accuracy
100.0%
Counts
800 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
67.0%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
67.0%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
69.8%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)))
76.6%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) y) y #s(literal 1 binary64)))
42.9%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (*.f64 y y))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
76.6%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
77.3%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)))
76.1%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
69.1%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
21.0%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))
17.7%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))
23.8%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)))
72.3%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
54.3%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) #s(approx (- (* (neg y) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))))
54.5%
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Compiler

Compiled 765 to 462 computations (39.6% saved)

simplify219.0ms (3.2%)

Memory
-23.6MiB live, 277.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x)
cost-diff0
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y)
cost-diff0
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)))
cost-diff0
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x)
cost-diff0
(*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y)
cost-diff0
(fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)
cost-diff0
#s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))
cost-diff0
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)))
cost-diff4
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) y)
cost-diff0
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))
cost-diff0
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))
cost-diff0
(fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x)
cost-diff0
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y)
cost-diff0
(fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041527
071527
1137527
2367511
31564511
45629511
08567507
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y)
(fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x)
x
(*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
y
x
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)))
#s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x))
(*.f64 (*.f64 (*.f64 y y) x) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y)
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x)
x
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y)
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x)
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y)
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y)
(fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x)
x
(*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y) x)
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y)
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y x) y)
(*.f64 (*.f64 y y) x)
(*.f64 y x)
y
x
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (fabs.f64 (*.f64 y x)) y)))
#s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))
#s(approx (+ (* (* y y) x) 1) (*.f64 (fabs.f64 (*.f64 y x)) y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)
(*.f64 (fabs.f64 (*.f64 y x)) y)
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x))
(fabs.f64 (*.f64 y x))
(*.f64 (*.f64 (*.f64 y y) x) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y)
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y)
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x)
x
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y) x)
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y)
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y)
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x)
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize157.0ms (2.3%)

Memory
38.0MiB live, 226.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.1525184157175525
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x)
accuracy6.268433814130359
(*.f64 (*.f64 y y) x)
accuracy7.532655156285115
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x)
accuracy14.999194560424126
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)))
accuracy2.1525184157175525
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x)
accuracy4.33353700462349
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y))
accuracy6.268433814130359
(*.f64 (*.f64 y y) x)
accuracy14.999194560424126
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
accuracy6.268433814130359
(*.f64 (*.f64 y y) x)
accuracy18.6364872338326
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x))
accuracy19.755799840814596
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)))
accuracy45.14265858820825
#s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))
accuracy0.0
(*.f64 y x)
accuracy0.109375
(*.f64 (*.f64 y x) y)
accuracy19.755799840814596
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))
accuracy33.35529403967096
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))
accuracy1.6725869419294497
(fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x)
accuracy5.046391055193434
(*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y))
accuracy6.268433814130359
(*.f64 (*.f64 y y) x)
accuracy14.999194560424126
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)))
Samples
78.0ms256×0valid
Compiler

Compiled 441 to 41 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 33.0ms (56.6% of total)
ival-add: 15.0ms (25.7% of total)
ival-exp: 4.0ms (6.9% of total)
const: 4.0ms (6.9% of total)
ival-sqrt: 2.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.4%)

Memory
-11.3MiB live, 35.0MiB allocated
Counts
24 → 61
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y)
(fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x)
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)))
#s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y)
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y)
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) 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)
(* x (+ y (* 1/2 (* x (pow y 3)))))
(* x (+ y (* x (+ (* 1/6 (* x (pow y 5))) (* 1/2 (pow y 3))))))
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2))))))
(* x (pow y 2))
(* 1/2 (* x (pow y 2)))
(* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 (* x (pow y 2)))))
(exp (* x (pow y 2)))
(* 1/6 (* (pow x 3) (pow y 6)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x))))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2))))))
(* 1/6 (* (pow x 3) (pow y 5)))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (* 1/2 (/ (pow y 3) x))))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (+ (* 1/2 (/ (pow y 3) x)) (/ y (pow x 2)))))
(* 1/6 (* (pow x 3) (pow y 4)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))
(* x (+ (/ 1 x) (pow y 2)))
(* 1/6 (* (pow x 2) (pow y 4)))
(* (pow x 2) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(* 1/6 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 5)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 3)) (/ y x)) x)) (* -1/6 (pow y 5)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4)))))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(* -1 (* x y))
(* -1 (* 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)))))))
(* y (+ x (* 1/2 (* (pow x 2) (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))
(* (pow y 2) (+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x)))
(+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4))))))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(* (pow y 4) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2)))))
(* -1 (* (pow y 5) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3)))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3))))))
Calls

6 calls:

TimeVariablePointExpression
15.0ms
x
@0
((exp (* (* x y) y)) (+ (* (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) y) 1) (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (sqrt (* (* (* y y) x) x)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (sqrt (* (* (* y y) x) x)) y) (exp (* (* x y) y)) (+ (* (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) y) 1) (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) y) 1) (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) (* (* y y) x) (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y)) (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y)) (* (+ (* 1/6 (* (* y y) x)) 1/2) x))
2.0ms
x
@-inf
((exp (* (* x y) y)) (+ (* (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) y) 1) (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (sqrt (* (* (* y y) x) x)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (sqrt (* (* (* y y) x) x)) y) (exp (* (* x y) y)) (+ (* (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) y) 1) (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) y) 1) (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) (* (* y y) x) (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y)) (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y)) (* (+ (* 1/6 (* (* y y) x)) 1/2) x))
2.0ms
y
@-inf
((exp (* (* x y) y)) (+ (* (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) y) 1) (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (sqrt (* (* (* y y) x) x)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (sqrt (* (* (* y y) x) x)) y) (exp (* (* x y) y)) (+ (* (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) y) 1) (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) y) 1) (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) (* (* y y) x) (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y)) (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y)) (* (+ (* 1/6 (* (* y y) x)) 1/2) x))
2.0ms
y
@inf
((exp (* (* x y) y)) (+ (* (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) y) 1) (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (sqrt (* (* (* y y) x) x)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (sqrt (* (* (* y y) x) x)) y) (exp (* (* x y) y)) (+ (* (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) y) 1) (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) y) 1) (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) (* (* y y) x) (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y)) (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y)) (* (+ (* 1/6 (* (* y y) x)) 1/2) x))
2.0ms
x
@inf
((exp (* (* x y) y)) (+ (* (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) y) 1) (* (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) y) (+ (* x (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y))) x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (sqrt (* (* (* y y) x) x)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (sqrt (* (* (* y y) x) x)) y) (exp (* (* x y) y)) (+ (* (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) y) 1) (* (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) y) (+ (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y))) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) y) 1) (* (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) y) (+ (* (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) x) (* y y)) x) (* (* y y) x) (* x (* (* (+ (* 1/6 (* (* y y) x)) 1/2) y) y)) (* (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (* y y)) (* (+ (* 1/6 (* (* y y) x)) 1/2) x))

simplify211.0ms (3.1%)

Memory
18.5MiB live, 245.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0211946
1777932
23168904
08519836
Stop Event
iter limit
node limit
Counts
61 → 60
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)
(* x (+ y (* 1/2 (* x (pow y 3)))))
(* x (+ y (* x (+ (* 1/6 (* x (pow y 5))) (* 1/2 (pow y 3))))))
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2))))))
(* x (pow y 2))
(* 1/2 (* x (pow y 2)))
(* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 (* x (pow y 2)))))
(exp (* x (pow y 2)))
(* 1/6 (* (pow x 3) (pow y 6)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x))))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2))))))
(* 1/6 (* (pow x 3) (pow y 5)))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (* 1/2 (/ (pow y 3) x))))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (+ (* 1/2 (/ (pow y 3) x)) (/ y (pow x 2)))))
(* 1/6 (* (pow x 3) (pow y 4)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))
(* x (+ (/ 1 x) (pow y 2)))
(* 1/6 (* (pow x 2) (pow y 4)))
(* (pow x 2) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(* 1/6 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 5)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 3)) (/ y x)) x)) (* -1/6 (pow y 5)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4)))))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(* -1 (* x y))
(* -1 (* 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)))))))
(* y (+ x (* 1/2 (* (pow x 2) (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))
(* (pow y 2) (+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x)))
(+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4))))))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(* (pow y 4) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2)))))
(* -1 (* (pow y 5) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3)))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3))))))
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)
(* x (+ y (* 1/2 (* x (pow y 3)))))
(*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) y) x)
(* x (+ y (* x (+ (* 1/6 (* x (pow y 5))) (* 1/2 (pow y 3))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))) x y) x)
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 (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x)
(exp (* x (pow y 2)))
(pow.f64 (exp.f64 y) (*.f64 y x))
(* 1/6 (* (pow x 3) (pow y 6)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x))))
(*.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (* (pow x 3) (pow y 5)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 5 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (* 1/2 (/ (pow y 3) x))))
(*.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (+ (* 1/2 (/ (pow y 3) x)) (/ y (pow x 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (/.f64 y x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (* (pow x 3) (pow y 4)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* 1/6 (* (pow x 2) (pow y 4)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) #s(literal 1/6 binary64))
(* (pow x 2) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) x) x)
(* 1/6 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))
(* (pow x 2) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) x) x)
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 6 binary64)) (/.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))) (neg.f64 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 5)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 3)) (/ y x)) x)) (* -1/6 (pow y 5)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (/.f64 y x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4)))))
(*.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4)))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 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 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y 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 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x #s(literal 1 binary64)) x) (*.f64 y y) #s(literal 1 binary64))
(* y (+ x (* 1/2 (* (pow x 2) (pow y 2)))))
(*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) y) x)
(* y (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x #s(literal 1 binary64)) x) y)
(+ 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)
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x #s(literal 1 binary64)) x)
(* (pow y 2) (+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x)
(+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x)
(* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4))))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* (pow y 4) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2)))))
(*.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2)))))
(*.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (*.f64 y y))
(* -1 (* (pow y 5) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3)))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3))))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64)))

rewrite274.0ms (4%)

Memory
0.7MiB live, 444.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041406
071406
1238402
21376378
08303362
Stop Event
iter limit
node limit
iter limit
Counts
24 → 681
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y)
(fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x)
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))
#s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)))
#s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y)
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y)
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x)
Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) y) y #s(literal 1 binary64)))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) x)) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) x) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))) x (*.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))) x))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))) (*.f64 x (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64)))))))
(fma.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x))
(-.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))) x) (*.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))) x))
(+.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64)))))) (*.f64 x (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/12 binary64)))))))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x))
(+.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))

eval145.0ms (2.1%)

Memory
-6.3MiB live, 128.4MiB allocated
Compiler

Compiled 19 633 to 2 108 computations (89.3% saved)

prune50.0ms (0.7%)

Memory
-14.1MiB live, 41.3MiB allocated
Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New3965401
Fresh336
Picked235
Done055
Total40116417
Accuracy
100.0%
Counts
417 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
67.0%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
76.0%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) x) (*.f64 y y) x) y) y #s(literal 1 binary64)))
42.9%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (*.f64 y y))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
76.6%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) x) x)) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
76.4%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
76.1%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
77.3%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)))
69.1%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
20.3%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (*.f64 x x)))) y)))
21.0%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))
17.7%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))
23.8%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)))
72.3%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
54.3%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) #s(approx (- (* (neg y) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))))
54.5%
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Compiler

Compiled 1 105 to 434 computations (60.7% saved)

regimes61.0ms (0.9%)

Memory
11.5MiB live, 56.3MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))
#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 (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) #s(approx (- (* (neg y) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (*.f64 x x)))) y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) x) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) x) x)) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (*.f64 y y))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 x y) y))
Outputs
(exp.f64 (*.f64 (*.f64 x y) y))
Calls

4 calls:

38.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
7.0ms
y
7.0ms
x
7.0ms
(*.f64 (*.f64 x y) y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(exp.f64 (*.f64 (*.f64 x y) y))
100.0%1(*.f64 (*.f64 x y) y)
Compiler

Compiled 13 to 13 computations (0% saved)

regimes34.0ms (0.5%)

Memory
11.4MiB live, 56.0MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))
#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 (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) #s(approx (- (* (neg y) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (*.f64 x x)))) y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) x) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) x) x)) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (*.f64 y y))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)))
Calls

4 calls:

13.0ms
(*.f64 (*.f64 x y) y)
7.0ms
x
7.0ms
y
6.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
77.3%1x
77.3%1y
77.3%1(exp.f64 (*.f64 (*.f64 x y) y))
77.3%1(*.f64 (*.f64 x y) y)
Compiler

Compiled 13 to 13 computations (0% saved)

regimes102.0ms (1.5%)

Memory
-24.9MiB live, 22.3MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))
#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 (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) #s(approx (- (* (neg y) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (*.f64 x x)))) y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) x) (*.f64 y y) x) y) y #s(literal 1 binary64)))
Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
Calls

4 calls:

88.0ms
x
5.0ms
y
4.0ms
(*.f64 (*.f64 x y) y)
4.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
76.4%1(exp.f64 (*.f64 (*.f64 x y) y))
76.4%1(*.f64 (*.f64 x y) y)
76.4%1x
76.4%1y
Compiler

Compiled 13 to 13 computations (0% saved)

regimes16.0ms (0.2%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))
#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 (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) #s(approx (- (* (neg y) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (*.f64 x x)))) y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 (*.f64 (*.f64 y y) x)) #s(literal 1 binary64)))
Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
Calls

4 calls:

4.0ms
y
4.0ms
x
4.0ms
(*.f64 (*.f64 x y) y)
3.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
76.1%1x
76.1%1(exp.f64 (*.f64 (*.f64 x y) y))
76.1%1(*.f64 (*.f64 x y) y)
76.1%1y
Compiler

Compiled 13 to 13 computations (0% saved)

regimes12.0ms (0.2%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))
#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 (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) #s(approx (- (* (neg y) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)))
Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y)))
Calls

4 calls:

3.0ms
y
3.0ms
x
3.0ms
(*.f64 (*.f64 x y) y)
2.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
72.4%1x
75.0%2(*.f64 (*.f64 x y) y)
75.0%2(exp.f64 (*.f64 (*.f64 x y) y))
72.4%1y
Compiler

Compiled 13 to 13 computations (0% saved)

regimes24.0ms (0.4%)

Memory
-40.4MiB live, 15.1MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))
#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 (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) #s(approx (- (* (neg y) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
Calls

3 calls:

19.0ms
(*.f64 (*.f64 x y) y)
3.0ms
y
2.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
72.4%1y
72.4%1(exp.f64 (*.f64 (*.f64 x y) y))
72.4%1(*.f64 (*.f64 x y) y)
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes8.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))
Calls

4 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 (*.f64 x y) y)
2.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
72.5%2(*.f64 (*.f64 x y) y)
69.1%1x
72.5%2(exp.f64 (*.f64 (*.f64 x y) y))
72.4%2y
Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))
Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))
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
58.4%2x
67.2%2y
69.2%2(exp.f64 (*.f64 (*.f64 x y) y))
69.2%2(*.f64 (*.f64 x y) y)
Compiler

Compiled 13 to 13 computations (0% saved)

regimes14.0ms (0.2%)

Memory
-32.8MiB live, 11.9MiB 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:

11.0ms
y
1.0ms
x
1.0ms
(*.f64 (*.f64 x y) y)
1.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
54.5%1x
54.5%1y
54.5%1(exp.f64 (*.f64 (*.f64 x y) y))
54.5%1(*.f64 (*.f64 x y) y)
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000162
+inf
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000162
+inf
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6313153075588304e-14
8082853095.5750265
Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify137.0ms (2%)

Memory
33.2MiB live, 73.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065253
1109253
2321253
31682253
44891253
Stop Event
node limit
Calls
Call 1
Inputs
(exp.f64 (*.f64 (*.f64 x y) y))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (*.f64 (*.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (*.f64 (*.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Outputs
(exp.f64 (*.f64 (*.f64 x y) y))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 x (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) (*.f64 y y)) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (*.f64 (*.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) x)) y))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (*.f64 (*.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

soundness1.4s (20.5%)

Memory
-41.2MiB live, 927.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0224951
1795933
23329907
08227841
04498
114698
254098
3231998
4612398
0817687
0211946
1777932
23168904
08519836
054127
1176127
2627127
32781125
46828125
08074112
036269
059249
1201248
21333239
08528235
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 382 to 185 computations (51.6% saved)

preprocess53.0ms (0.8%)

Memory
17.6MiB live, 112.8MiB allocated
Remove

(abs y)

Compiler

Compiled 542 to 166 computations (69.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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