exp neg sub

Time bar (total: 6.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample896.0ms (13.2%)

Memory
19.7MiB live, 1 111.0MiB allocated
Samples
554.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 249.0ms
ival-exp: 81.0ms (32.6% of total)
ival-mult: 77.0ms (31% of total)
ival-sub: 41.0ms (16.5% of total)
ival-neg: 36.0ms (14.5% of total)
ival-true: 6.0ms (2.4% of total)
exact: 5.0ms (2% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

explain98.0ms (1.4%)

Memory
13.7MiB live, 105.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 x x))
00-0-(*.f64 x x)
00-0-(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
31.0ms512×0valid
Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-exp: 5.0ms (34.2% of total)
ival-mult: 4.0ms (27.4% of total)
ival-sub: 3.0ms (20.5% of total)
ival-neg: 2.0ms (13.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess202.0ms (3%)

Memory
-31.5MiB live, 151.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
13013
27813
316013
428613
541613
665413
7100313
8166513
9308413
10633713
067
0107
1226
2556
31106
41976
53006
64796
78066
813106
921486
1043616
1174676
081545
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Outputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify154.0ms (2.3%)

Memory
22.4MiB live, 173.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff0
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
cost-diff2
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0623
01023
12221
25521
311021
419721
530021
647921
780621
8131021
9214821
10436121
11746721
0815419
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
Outputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

localize37.0ms (0.6%)

Memory
-2.9MiB live, 33.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy0.01171875
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Samples
32.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 2.0ms (28.2% of total)
ival-mult: 2.0ms (28.2% of total)
ival-sub: 1.0ms (14.1% of total)
ival-neg: 1.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Counts
4 → 13
Calls
Call 1
Inputs
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
-1
(- (pow x 2) 1)
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
1
(+ 1 (* -1 (pow x 2)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(exp (- (pow x 2) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
Calls

3 calls:

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

simplify146.0ms (2.2%)

Memory
5.5MiB live, 185.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03092
18186
224782
360979
4132179
5201979
6318879
7567279
0823470
Stop Event
iter limit
node limit
Counts
13 → 13
Calls
Call 1
Inputs
-1
(- (pow x 2) 1)
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
1
(+ 1 (* -1 (pow x 2)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(exp (- (pow x 2) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
Outputs
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(exp -1)
(exp.f64 #s(literal -1 binary64))
(+ (exp -1) (* (pow x 2) (exp -1)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))

rewrite221.0ms (3.3%)

Memory
-7.0MiB live, 293.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0621
01021
13719
223119
3193219
0932216
Stop Event
iter limit
node limit
iter limit
Counts
4 → 500
Calls
Call 1
Inputs
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (fma.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 x x #s(literal 1 binary64)))
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(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))) (/.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 18 binary64)) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (E.f64))) (log.f64 (neg.f64 (pow.f64 (exp.f64 x) x))))
(-.f64 (log.f64 (exp.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 (exp.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(-.f64 (log.f64 (neg.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))))) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 (E.f64)) (log.f64 (pow.f64 (exp.f64 x) x)))
(-.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (neg.f64 x))) (log.f64 (E.f64)))
(+.f64 (log.f64 (E.f64)) (log.f64 (pow.f64 (exp.f64 x) (neg.f64 x))))
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(log.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) x)
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 x (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))))
(neg.f64 (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval71.0ms (1%)

Memory
-6.5MiB live, 181.0MiB allocated
Compiler

Compiled 10 671 to 1 805 computations (83.1% saved)

prune12.0ms (0.2%)

Memory
-13.5MiB live, 37.6MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5065511
Fresh000
Picked101
Done000
Total5075512
Accuracy
100.0%
Counts
512 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
100.0%
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
52.2%
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
87.0%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))))
74.9%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))))
Compiler

Compiled 110 to 90 computations (18.2% saved)

simplify139.0ms (2.1%)

Memory
35.4MiB live, 188.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))))
cost-diff1
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
cost-diff0
(E.f64)
cost-diff0
(exp.f64 x)
cost-diff0
(pow.f64 (exp.f64 x) x)
cost-diff1
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
cost-diff0
(exp.f64 #s(literal -1 binary64))
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))))
cost-diff1
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))
cost-diff0
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))
cost-diff0
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025129
039128
164120
2126120
3256120
4501116
51012116
62312116
73557116
86740116
08321116
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
(pow.f64 (exp.f64 x) x)
(exp.f64 x)
x
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/2 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (exp.f64 x) x)
(exp.f64 x)
x
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/2 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)

localize92.0ms (1.4%)

Memory
-26.8MiB live, 139.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 #s(literal -1 binary64))
accuracy0.00390625
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))
accuracy0.26010988958839376
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
accuracy8.52833736245151
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))))
accuracy0.0
(pow.f64 (exp.f64 x) x)
accuracy0.0
(exp.f64 x)
accuracy0.0
(E.f64)
accuracy0.01953125
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
accuracy0.0
(fma.f64 x x #s(literal 1 binary64))
accuracy0.0
(exp.f64 #s(literal -1 binary64))
accuracy0.0859375
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))
accuracy16.057949023706506
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))))
accuracy0.01171875
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
accuracy31.323361387319583
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))
accuracy0.0
(fma.f64 x x #s(literal -1 binary64))
accuracy0.01171875
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
Samples
52.0ms256×0valid
Compiler

Compiled 115 to 24 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 12.0ms (30.6% of total)
ival-exp: 9.0ms (22.9% of total)
ival-pow: 8.0ms (20.4% of total)
ival-add: 4.0ms (10.2% of total)
ival-e: 3.0ms (7.6% of total)
ival-div: 2.0ms (5.1% of total)
ival-sub: 1.0ms (2.5% of total)
exact: 1.0ms (2.5% of total)
ival-neg: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
26.9MiB live, 27.0MiB allocated
Counts
16 → 33
Calls
Call 1
Inputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))))
(fma.f64 x x #s(literal 1 binary64))
(exp.f64 #s(literal -1 binary64))
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
(pow.f64 (exp.f64 x) x)
(exp.f64 x)
(E.f64)
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 x #s(literal 4 binary64))
Outputs
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
-1
(- (pow x 2) 1)
1
(+ 1 (pow x 2))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(pow x 4)
(exp (- (pow x 2) 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (exp -1))
(* (pow x 2) (+ (exp -1) (/ (exp -1) (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ (exp (pow x 2)) (E))
(exp (pow x 2))
(exp x)
(* 1/2 (* (pow x 4) (exp -1)))
(* (pow x 4) (+ (* 1/2 (exp -1)) (/ (exp -1) (pow x 2))))
(* (pow x 4) (+ (* 1/2 (exp -1)) (+ (/ (exp -1) (pow x 2)) (/ (exp -1) (pow x 4)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
((exp (+ (* x x) -1)) (+ (* x x) -1) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* (+ (* x x) 1) (exp -1)) (exp (neg (- 1 (* x x)))) (+ (* x x) 1) (exp -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E) (* (+ (* (pow x 4) 1/2) (+ (* x x) 1)) (exp -1)) (exp (neg (- 1 (* x x)))) (+ (* (pow x 4) 1/2) (+ (* x x) 1)) (pow x 4))
2.0ms
x
@inf
((exp (+ (* x x) -1)) (+ (* x x) -1) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* (+ (* x x) 1) (exp -1)) (exp (neg (- 1 (* x x)))) (+ (* x x) 1) (exp -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E) (* (+ (* (pow x 4) 1/2) (+ (* x x) 1)) (exp -1)) (exp (neg (- 1 (* x x)))) (+ (* (pow x 4) 1/2) (+ (* x x) 1)) (pow x 4))
1.0ms
x
@-inf
((exp (+ (* x x) -1)) (+ (* x x) -1) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* (+ (* x x) 1) (exp -1)) (exp (neg (- 1 (* x x)))) (+ (* x x) 1) (exp -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E) (* (+ (* (pow x 4) 1/2) (+ (* x x) 1)) (exp -1)) (exp (neg (- 1 (* x x)))) (+ (* (pow x 4) 1/2) (+ (* x x) 1)) (pow x 4))

simplify250.0ms (3.7%)

Memory
-26.6MiB live, 163.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088297
1263285
2720261
31685251
42745251
54666251
65677251
77088251
08059216
Stop Event
iter limit
node limit
Counts
33 → 33
Calls
Call 1
Inputs
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
-1
(- (pow x 2) 1)
1
(+ 1 (pow x 2))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(pow x 4)
(exp (- (pow x 2) 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (exp -1))
(* (pow x 2) (+ (exp -1) (/ (exp -1) (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ (exp (pow x 2)) (E))
(exp (pow x 2))
(exp x)
(* 1/2 (* (pow x 4) (exp -1)))
(* (pow x 4) (+ (* 1/2 (exp -1)) (/ (exp -1) (pow x 2))))
(* (pow x 4) (+ (* 1/2 (exp -1)) (+ (/ (exp -1) (pow x 2)) (/ (exp -1) (pow x 4)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
Outputs
(exp -1)
(exp.f64 #s(literal -1 binary64))
(+ (exp -1) (* (pow x 2) (exp -1)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(/ 1 (E))
(exp.f64 #s(literal -1 binary64))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 #s(literal -1 binary64)))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (exp -1))
(/.f64 (*.f64 x x) (E.f64))
(* (pow x 2) (+ (exp -1) (/ (exp -1) (pow x 2))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(/ (exp (pow x 2)) (E))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (pow x 2))
(pow.f64 (exp.f64 x) x)
(exp x)
(exp.f64 x)
(* 1/2 (* (pow x 4) (exp -1)))
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (E.f64))
(* (pow x 4) (+ (* 1/2 (exp -1)) (/ (exp -1) (pow x 2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64) x) (/.f64 x (E.f64)))
(* (pow x 4) (+ (* 1/2 (exp -1)) (+ (/ (exp -1) (pow x 2)) (/ (exp -1) (pow x 4)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(* 1/2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))

rewrite374.0ms (5.5%)

Memory
4.2MiB live, 162.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025111
039110
1141102
291698
0868198
Stop Event
iter limit
node limit
iter limit
Counts
16 → 958
Calls
Call 1
Inputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))))
(fma.f64 x x #s(literal 1 binary64))
(exp.f64 #s(literal -1 binary64))
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
(pow.f64 (exp.f64 x) x)
(exp.f64 x)
(E.f64)
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 x #s(literal 4 binary64))
Outputs
(*.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (sqrt.f64 (E.f64)))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (sqrt.f64 (E.f64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (exp.f64 #s(literal 2/3 binary64)))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (cbrt.f64 (E.f64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) (exp.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (exp.f64 x) x))) (/.f64 #s(literal -1 binary64) (E.f64)))
(*.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (E.f64) (pow.f64 (exp.f64 x) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (E.f64) (pow.f64 (exp.f64 x) x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) (exp.f64 #s(literal 2/3 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (neg.f64 (cbrt.f64 (E.f64)))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (neg.f64 (E.f64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) (sqrt.f64 (E.f64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (E.f64)))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (E.f64)))) (/.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) (sqrt.f64 (E.f64))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 #s(literal 2/3 binary64)))) (/.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) (cbrt.f64 (E.f64))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) (E.f64)))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (E.f64))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (E.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (neg.f64 (sqrt.f64 (E.f64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 (pow.f64 (exp.f64 x) x) (neg.f64 (cbrt.f64 (E.f64)))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (E.f64)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (E.f64)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (E.f64) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (E.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) (pow.f64 (exp.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (E.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (E.f64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (E.f64))))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x (*.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 (neg.f64 x) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (neg.f64 (*.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x (neg.f64 (*.f64 x #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (neg.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x (neg.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(-.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) (*.f64 x x))
(+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (neg.f64 x) (*.f64 x (*.f64 (neg.f64 x) x)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 x (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))
(*.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))

eval221.0ms (3.3%)

Memory
25.4MiB live, 183.3MiB allocated
Compiler

Compiled 24 297 to 3 170 computations (87% saved)

prune78.0ms (1.2%)

Memory
-15.0MiB live, 58.7MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1 02061 026
Fresh000
Picked415
Done000
Total1 02471 031
Accuracy
100.0%
Counts
1 031 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
100.0%
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
57.0%
(exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x)))
74.9%
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
74.9%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))))
25.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))))
Compiler

Compiled 193 to 136 computations (29.5% saved)

simplify185.0ms (2.7%)

Memory
13.7MiB live, 142.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) (E.f64))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
cost-diff6
(fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
cost-diff0
(E.f64)
cost-diff0
(/.f64 #s(literal -1 binary64) (E.f64))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))))
cost-diff4
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))
cost-diff0
(E.f64)
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
cost-diff0
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) (E.f64))
cost-diff0
#s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))))
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
(E.f64)
cost-diff1
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031194
045185
179181
2161181
3339175
4988169
52839167
64529166
76065166
87381166
08053164
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(E.f64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
x
(E.f64)
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (E.f64))
(E.f64)
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
x
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
(fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
x
(E.f64)
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(E.f64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
x
(E.f64)
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (E.f64))
(E.f64)
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
x
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
(fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
x
(E.f64)
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)

localize119.0ms (1.8%)

Memory
2.2MiB live, 194.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
accuracy0.11947250976844202
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
accuracy0.15853500976844204
(/.f64 (*.f64 x x) (E.f64))
accuracy8.52833736245151
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
accuracy0.0
(E.f64)
accuracy0.0234375
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))
accuracy0.15853500976844204
(/.f64 (*.f64 x x) (E.f64))
accuracy16.057949023706506
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))))
accuracy0.0
(fma.f64 x x #s(literal 1 binary64))
accuracy0.0
(E.f64)
accuracy0.11947250976844202
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
accuracy16.057949023706506
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
accuracy0.0
(E.f64)
accuracy0.15853500976844204
(/.f64 (*.f64 x x) (E.f64))
accuracy16.057949023706506
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))))
accuracy32.38530271894236
#s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))
accuracy0.0
(fma.f64 x x #s(literal -1 binary64))
accuracy0.0
(E.f64)
accuracy0.015625
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
Samples
99.0ms256×0valid
Compiler

Compiled 150 to 27 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-exp: 19.0ms (36.3% of total)
ival-pow: 10.0ms (19.1% of total)
ival-mult: 8.0ms (15.3% of total)
ival-div: 6.0ms (11.5% of total)
ival-add: 4.0ms (7.6% of total)
ival-e: 2.0ms (3.8% of total)
ival-sub: 1.0ms (1.9% of total)
exact: 1.0ms (1.9% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
15 → 28
Calls
Call 1
Inputs
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(E.f64)
(fma.f64 x x #s(literal -1 binary64))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))))
(/.f64 #s(literal -1 binary64) (E.f64))
(fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
Outputs
(/ 1 (E))
(+ (/ 1 (E)) (/ (* (pow x 2) (log (E))) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (E))) (/ (log (E)) (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (* (pow x 2) (pow (log (E)) 3)) (E))) (* 1/2 (/ (pow (log (E)) 2) (E))))) (/ (log (E)) (E)))) (/ 1 (E)))
-1
(- (pow x 2) 1)
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(/ (pow x 2) (E))
(pow x 2)
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
1
(+ 1 (pow x 2))
(exp (* (log (E)) (- (pow x 2) 1)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(exp (- (pow x 2) 1))
(* (pow x 2) (exp -1))
(* (pow x 2) (+ (exp -1) (/ (exp -1) (pow x 2))))
(/ (exp (pow x 2)) (E))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
((pow (E) (+ (* x x) -1)) (E) (+ (* x x) -1) (exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (exp -1)) (/ (* x x) (E)) (* x x) (/ (pow (exp x) x) (E)) (/ (+ (* x x) 1) (E)) (+ (* x x) 1) (+ (* -1 (/ -1 (E))) (/ (* x x) (E))) (exp (neg (- 1 (* x x)))) (/ -1 (E)) (+ (* (/ (* x x) (E)) (* (* x x) 1/2)) (/ (+ (* x x) 1) (E))) (exp (neg (- 1 (* x x)))))
2.0ms
x
@inf
((pow (E) (+ (* x x) -1)) (E) (+ (* x x) -1) (exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (exp -1)) (/ (* x x) (E)) (* x x) (/ (pow (exp x) x) (E)) (/ (+ (* x x) 1) (E)) (+ (* x x) 1) (+ (* -1 (/ -1 (E))) (/ (* x x) (E))) (exp (neg (- 1 (* x x)))) (/ -1 (E)) (+ (* (/ (* x x) (E)) (* (* x x) 1/2)) (/ (+ (* x x) 1) (E))) (exp (neg (- 1 (* x x)))))
2.0ms
x
@-inf
((pow (E) (+ (* x x) -1)) (E) (+ (* x x) -1) (exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (exp -1)) (/ (* x x) (E)) (* x x) (/ (pow (exp x) x) (E)) (/ (+ (* x x) 1) (E)) (+ (* x x) 1) (+ (* -1 (/ -1 (E))) (/ (* x x) (E))) (exp (neg (- 1 (* x x)))) (/ -1 (E)) (+ (* (/ (* x x) (E)) (* (* x x) 1/2)) (/ (+ (* x x) 1) (E))) (exp (neg (- 1 (* x x)))))

simplify175.0ms (2.6%)

Memory
-19.6MiB live, 215.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090310
1281258
2784230
31874226
45118226
56433226
67340226
08012196
Stop Event
iter limit
node limit
Counts
28 → 28
Calls
Call 1
Inputs
(/ 1 (E))
(+ (/ 1 (E)) (/ (* (pow x 2) (log (E))) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (E))) (/ (log (E)) (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (* (pow x 2) (pow (log (E)) 3)) (E))) (* 1/2 (/ (pow (log (E)) 2) (E))))) (/ (log (E)) (E)))) (/ 1 (E)))
-1
(- (pow x 2) 1)
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(/ (pow x 2) (E))
(pow x 2)
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
1
(+ 1 (pow x 2))
(exp (* (log (E)) (- (pow x 2) 1)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(exp (- (pow x 2) 1))
(* (pow x 2) (exp -1))
(* (pow x 2) (+ (exp -1) (/ (exp -1) (pow x 2))))
(/ (exp (pow x 2)) (E))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
Outputs
(/ 1 (E))
(exp.f64 #s(literal -1 binary64))
(+ (/ 1 (E)) (/ (* (pow x 2) (log (E))) (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (E))) (/ (log (E)) (E)))) (/ 1 (E)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (* (pow x 2) (pow (log (E)) 3)) (E))) (* 1/2 (/ (pow (log (E)) 2) (E))))) (/ (log (E)) (E)))) (/ 1 (E)))
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(exp -1)
(exp.f64 #s(literal -1 binary64))
(+ (exp -1) (* (pow x 2) (exp -1)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(pow x 2)
(*.f64 x x)
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(* (pow x 2) (exp -1))
(/.f64 (*.f64 x x) (E.f64))
(* (pow x 2) (+ (exp -1) (/ (exp -1) (pow x 2))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(/ (exp (pow x 2)) (E))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* 1/2 (/ (pow x 4) (E)))
(*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 x x)) (E.f64))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))

rewrite203.0ms (3%)

Memory
11.5MiB live, 378.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031149
045140
1187125
21487125
08447123
Stop Event
iter limit
node limit
iter limit
Counts
15 → 788
Calls
Call 1
Inputs
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(E.f64)
(fma.f64 x x #s(literal -1 binary64))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))))
(/.f64 #s(literal -1 binary64) (E.f64))
(fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
Outputs
(*.f64 (pow.f64 (/.f64 (E.f64) (pow.f64 (exp.f64 x) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (E.f64) (pow.f64 (exp.f64 x) x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (E.f64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (E.f64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (E.f64) (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (E.f64) (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (E.f64)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (E.f64)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (neg.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (E.f64) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (pow.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
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(*.f64 (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
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(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (exp.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(fma.f64 (*.f64 (*.f64 x x) (exp.f64 #s(literal -2/3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(fma.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (E.f64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (fma.f64 (exp.f64 #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (exp.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (exp.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -1 binary64) (E.f64) (*.f64 (E.f64) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (neg.f64 (E.f64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 (E.f64) (*.f64 (E.f64) (*.f64 x x))) (exp.f64 #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (E.f64) (pow.f64 x #s(literal -2 binary64)) (E.f64)) (pow.f64 (/.f64 x (E.f64)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 (neg.f64 x) x) (E.f64) (neg.f64 (E.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (E.f64)) (E.f64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (exp.f64 #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 (E.f64) (/.f64 (E.f64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (E.f64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 (/.f64 (cbrt.f64 (E.f64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (E.f64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (exp.f64 #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (exp.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (exp.f64 #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (exp.f64 #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (exp.f64 #s(literal -3 binary64))) (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (exp.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (E.f64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64)) (exp.f64 #s(literal -2 binary64))) (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (E.f64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (E.f64)))))
(fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(fma.f64 (*.f64 x x) (*.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (E.f64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x x) (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) (E.f64))) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64)) (exp.f64 #s(literal -2 binary64))) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) (E.f64))))
(-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64)) (exp.f64 #s(literal -2 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (E.f64))) (/.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (E.f64))))
(-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (E.f64)))
(+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64)) (exp.f64 #s(literal -2 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (E.f64))) (neg.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (E.f64)))))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)))
#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))

eval181.0ms (2.7%)

Memory
12.7MiB live, 360.5MiB allocated
Compiler

Compiled 30 985 to 3 231 computations (89.6% saved)

prune50.0ms (0.7%)

Memory
-29.2MiB live, 106.6MiB allocated
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New1 234151 249
Fresh011
Picked235
Done011
Total1 236201 256
Accuracy
100.0%
Counts
1 256 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
100.0%
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
57.0%
(exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x)))
74.9%
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (E.f64) (neg.f64 (E.f64))) (*.f64 (neg.f64 (E.f64)) (E.f64))))
74.9%
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
52.2%
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
74.9%
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
74.9%
#s(approx (/ (pow (exp x) x) (E)) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
85.4%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64)))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 x (/.f64 (E.f64) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
87.0%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
25.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))))
25.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 x (/.f64 (E.f64) x))))
25.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
25.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x)))
Compiler

Compiled 762 to 518 computations (32% saved)

simplify138.0ms (2%)

Memory
13.9MiB live, 94.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (E.f64) (*.f64 x x))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))
cost-diff6
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
cost-diff0
(/.f64 x (E.f64))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
cost-diff2
(*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
cost-diff4
(fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
cost-diff0
(E.f64)
cost-diff0
(/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))
cost-diff0
(E.f64)
cost-diff0
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))
cost-diff0
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
cost-diff0
(*.f64 (neg.f64 x) x)
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
cost-diff4
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
cost-diff5
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039313
063319
1114314
2323277
3913263
41516257
52812257
64498257
75580257
86929257
97320257
107618257
08246246
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
(/.f64 #s(literal -1 binary64) (E.f64))
#s(literal -1 binary64)
(E.f64)
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
(/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(E.f64)
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))
(E.f64)
(fma.f64 x x #s(literal 1 binary64))
x
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
(fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
x
(*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 x (E.f64))
(E.f64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))
#s(literal 1 binary64)
(/.f64 (E.f64) (*.f64 x x))
(E.f64)
(*.f64 x x)
x
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
(/.f64 #s(literal -1 binary64) (E.f64))
#s(literal -1 binary64)
(E.f64)
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
(/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(E.f64)
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
#s(literal 1 binary64)
(/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))
(E.f64)
(fma.f64 x x #s(literal 1 binary64))
x
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
(fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
x
(*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (E.f64)) #s(literal 1/2 binary64))
(/.f64 x (E.f64))
(E.f64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))
(*.f64 (/.f64 x (E.f64)) x)
#s(literal 1 binary64)
(/.f64 (E.f64) (*.f64 x x))
(E.f64)
(*.f64 x x)
x
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))

localize97.0ms (1.4%)

Memory
6.5MiB live, 118.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.11947250976844202
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
accuracy0.34241489099886746
(/.f64 (E.f64) (*.f64 x x))
accuracy0.6700524326052176
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))
accuracy8.52833736245151
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
accuracy0.11328125
(*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
accuracy0.11947250976844202
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
accuracy0.34765625
(/.f64 x (E.f64))
accuracy8.52833736245151
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
accuracy0.0
(E.f64)
accuracy0.0859375
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))
accuracy0.27991489099886746
(/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))
accuracy16.057949023706506
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
accuracy0.0
(E.f64)
accuracy0.11947250976844202
(/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))
accuracy16.057949023706506
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
accuracy30.172722772005045
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
accuracy0.11947250976844202
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
accuracy0.13671875
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
accuracy0.2444848895883938
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
accuracy8.52833736245151
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
Samples
70.0ms256×0valid
Compiler

Compiled 251 to 34 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 14.0ms (29.4% of total)
ival-div: 12.0ms (25.2% of total)
ival-add: 7.0ms (14.7% of total)
ival-pow: 5.0ms (10.5% of total)
ival-exp: 4.0ms (8.4% of total)
ival-e: 2.0ms (4.2% of total)
ival-neg: 2.0ms (4.2% of total)
ival-sub: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.4%)

Memory
-20.3MiB live, 24.4MiB allocated
Counts
20 → 31
Calls
Call 1
Inputs
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
(*.f64 (neg.f64 x) x)
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
(/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
(E.f64)
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
(/.f64 x (E.f64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
(/.f64 (E.f64) (*.f64 x x))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
Outputs
(* -1/2 (pow x 4))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(* -1 (pow x 2))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
1
(+ 1 (pow x 2))
(E)
(+ (E) (* -1 (* (pow x 2) (E))))
(+ (E) (* (pow x 2) (- (* (pow x 2) (E)) (E))))
(+ (E) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (E))) (* -1 (E)))) (E))))
(* 1/2 (/ (pow x 3) (E)))
(/ x (E))
(/ (pow x 2) (E))
(/ (E) (pow x 2))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(exp (- (pow x 2) 1))
(/ (exp (pow x 2)) (E))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ (+ (E) (* -1 (/ (E) (pow x 2)))) (pow x 2))
(/ (- (+ (E) (/ (E) (pow x 4))) (/ (E) (pow x 2))) (pow x 2))
(/ (- (+ (E) (* -1 (/ (E) (pow x 6)))) (+ (* -1 (/ (E) (pow x 4))) (/ (E) (pow x 2)))) (pow x 2))
Calls

3 calls:

TimeVariablePointExpression
16.0ms
x
@inf
((* (* (neg x) x) (* 1/2 (* x x))) (+ (* (* (* (neg x) x) (* 1/2 (* x x))) (/ -1 (E))) (/ (+ (* x x) 1) (E))) (exp (neg (- 1 (* x x)))) (* (neg x) x) (/ (pow (exp x) x) (E)) (/ (+ (* x x) 1) (E)) (+ (* x x) 1) (E) (/ 1 (/ (E) (+ (* x x) 1))) (/ (pow (exp x) x) (E)) (/ (E) (+ (* x x) 1)) (+ (* x (* (/ x (E)) (* 1/2 (* x x)))) (/ (+ (* x x) 1) (E))) (* (/ x (E)) (* 1/2 (* x x))) (exp (neg (- 1 (* x x)))) (/ x (E)) (+ (* (/ 1 (/ (E) (* x x))) (* (* x x) 1/2)) (/ (+ (* x x) 1) (E))) (/ 1 (/ (E) (* x x))) (exp (neg (- 1 (* x x)))) (/ (E) (* x x)) (/ (+ (* x x) 1) (E)))
4.0ms
x
@0
((* (* (neg x) x) (* 1/2 (* x x))) (+ (* (* (* (neg x) x) (* 1/2 (* x x))) (/ -1 (E))) (/ (+ (* x x) 1) (E))) (exp (neg (- 1 (* x x)))) (* (neg x) x) (/ (pow (exp x) x) (E)) (/ (+ (* x x) 1) (E)) (+ (* x x) 1) (E) (/ 1 (/ (E) (+ (* x x) 1))) (/ (pow (exp x) x) (E)) (/ (E) (+ (* x x) 1)) (+ (* x (* (/ x (E)) (* 1/2 (* x x)))) (/ (+ (* x x) 1) (E))) (* (/ x (E)) (* 1/2 (* x x))) (exp (neg (- 1 (* x x)))) (/ x (E)) (+ (* (/ 1 (/ (E) (* x x))) (* (* x x) 1/2)) (/ (+ (* x x) 1) (E))) (/ 1 (/ (E) (* x x))) (exp (neg (- 1 (* x x)))) (/ (E) (* x x)) (/ (+ (* x x) 1) (E)))
3.0ms
x
@-inf
((* (* (neg x) x) (* 1/2 (* x x))) (+ (* (* (* (neg x) x) (* 1/2 (* x x))) (/ -1 (E))) (/ (+ (* x x) 1) (E))) (exp (neg (- 1 (* x x)))) (* (neg x) x) (/ (pow (exp x) x) (E)) (/ (+ (* x x) 1) (E)) (+ (* x x) 1) (E) (/ 1 (/ (E) (+ (* x x) 1))) (/ (pow (exp x) x) (E)) (/ (E) (+ (* x x) 1)) (+ (* x (* (/ x (E)) (* 1/2 (* x x)))) (/ (+ (* x x) 1) (E))) (* (/ x (E)) (* 1/2 (* x x))) (exp (neg (- 1 (* x x)))) (/ x (E)) (+ (* (/ 1 (/ (E) (* x x))) (* (* x x) 1/2)) (/ (+ (* x x) 1) (E))) (/ 1 (/ (E) (* x x))) (exp (neg (- 1 (* x x)))) (/ (E) (* x x)) (/ (+ (* x x) 1) (E)))

simplify126.0ms (1.9%)

Memory
26.8MiB live, 134.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095318
1265294
2766274
32723263
08247242
Stop Event
iter limit
node limit
Counts
31 → 31
Calls
Call 1
Inputs
(* -1/2 (pow x 4))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(* -1 (pow x 2))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
1
(+ 1 (pow x 2))
(E)
(+ (E) (* -1 (* (pow x 2) (E))))
(+ (E) (* (pow x 2) (- (* (pow x 2) (E)) (E))))
(+ (E) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (E))) (* -1 (E)))) (E))))
(* 1/2 (/ (pow x 3) (E)))
(/ x (E))
(/ (pow x 2) (E))
(/ (E) (pow x 2))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(exp (- (pow x 2) 1))
(/ (exp (pow x 2)) (E))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ (+ (E) (* -1 (/ (E) (pow x 2)))) (pow x 2))
(/ (- (+ (E) (/ (E) (pow x 4))) (/ (E) (pow x 2))) (pow x 2))
(/ (- (+ (E) (* -1 (/ (E) (pow x 6)))) (+ (* -1 (/ (E) (pow x 4))) (/ (E) (pow x 2)))) (pow x 2))
Outputs
(* -1/2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(/ 1 (E))
(exp.f64 #s(literal -1 binary64))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
(exp -1)
(exp.f64 #s(literal -1 binary64))
(+ (exp -1) (* (pow x 2) (exp -1)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(E)
(E.f64)
(+ (E) (* -1 (* (pow x 2) (E))))
(fma.f64 (neg.f64 (E.f64)) (*.f64 x x) (E.f64))
(+ (E) (* (pow x 2) (- (* (pow x 2) (E)) (E))))
(fma.f64 (*.f64 (E.f64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (E.f64))
(+ (E) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (E))) (* -1 (E)))) (E))))
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 (E.f64)) (*.f64 x x) (E.f64)))
(* 1/2 (/ (pow x 3) (E)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (E.f64)) #s(literal 1/2 binary64))
(/ x (E))
(/.f64 x (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (E) (pow x 2))
(/.f64 (E.f64) (*.f64 x x))
(* 1/2 (/ (pow x 4) (E)))
(*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(*.f64 (/.f64 x (E.f64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64) x))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(/ (exp (pow x 2)) (E))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(/ (+ (E) (* -1 (/ (E) (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 (E.f64) (/.f64 (E.f64) (*.f64 x x))) x) x)
(/ (- (+ (E) (/ (E) (pow x 4))) (/ (E) (pow x 2))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 (E.f64) (pow.f64 x #s(literal 4 binary64))) (E.f64)) (/.f64 (E.f64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ (E) (* -1 (/ (E) (pow x 6)))) (+ (* -1 (/ (E) (pow x 4))) (/ (E) (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (E.f64) (/.f64 (E.f64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 (-.f64 (E.f64) (/.f64 (E.f64) (*.f64 x x))) x) x)) (*.f64 x x))

rewrite316.0ms (4.7%)

Memory
-30.6MiB live, 189.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039239
063243
1236208
22020204
08589193
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 031
Calls
Call 1
Inputs
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
(*.f64 (neg.f64 x) x)
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
(/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
(E.f64)
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
(/.f64 x (E.f64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
(/.f64 (E.f64) (*.f64 x x))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) x) x)
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) x)
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) x)) x)
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 (neg.f64 x) x)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) x)))
(*.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (/.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))))
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (exp.f64 #s(literal -2 binary64)) (pow.f64 x #s(literal 8 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) x)) (E.f64))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (exp.f64 #s(literal -2 binary64)) (pow.f64 x #s(literal 8 binary64))) (neg.f64 (pow.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (exp.f64 #s(literal -3 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (exp.f64 #s(literal -2 binary64)) (pow.f64 x #s(literal 8 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) x)) (E.f64)))))))
(*.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))) (neg.f64 (E.f64)) (*.f64 (E.f64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (neg.f64 (E.f64)))))
(*.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))) (E.f64) (*.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (E.f64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (neg.f64 (E.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (/.f64 (E.f64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (E.f64) (*.f64 (neg.f64 (E.f64)) (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (E.f64)) (E.f64))))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64) (*.f64 (E.f64) (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2 binary64))))
(*.f64 (+.f64 (E.f64) (*.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (E.f64))))
(*.f64 (fma.f64 (E.f64) #s(literal -1 binary64) (*.f64 (/.f64 (E.f64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (E.f64))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 (E.f64)) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (neg.f64 (E.f64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (E.f64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (E.f64))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (*.f64 (/.f64 (E.f64) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (/.f64 (E.f64) (*.f64 x x)) (*.f64 (neg.f64 (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (E.f64)) (/.f64 (E.f64) (*.f64 x x)))))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (E.f64) (*.f64 x x)) (*.f64 (E.f64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (/.f64 (E.f64) (*.f64 x x)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (E.f64) (*.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x)))))
(*.f64 (fma.f64 (neg.f64 (E.f64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (E.f64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (/.f64 (E.f64) (*.f64 x x)))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (exp.f64 #s(literal -2 binary64)) (pow.f64 x #s(literal 8 binary64))) (neg.f64 (pow.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (exp.f64 #s(literal -3 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 #s(literal -2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (exp.f64 #s(literal -2 binary64)) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (exp.f64 #s(literal -3 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (exp.f64 #s(literal -2 binary64)) (pow.f64 x #s(literal 8 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) x)) (E.f64)))) #s(literal -1 binary64)))
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(/.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (E.f64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (E.f64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (E.f64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64)))
(/.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (E.f64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (E.f64)))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 (E.f64)))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (E.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (E.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (E.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (E.f64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (E.f64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (E.f64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (E.f64)))
(fma.f64 (pow.f64 (/.f64 (sqrt.f64 (E.f64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) x) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (pow.f64 (/.f64 (exp.f64 #s(literal 2/3 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (E.f64)) x) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (E.f64)) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (E.f64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 x (E.f64)) x))
(fma.f64 (pow.f64 (E.f64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (pow.f64 (E.f64) #s(literal -1/2 binary64)) (pow.f64 (E.f64) #s(literal -1/2 binary64)) (*.f64 (/.f64 x (E.f64)) x))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (E.f64))) (*.f64 (/.f64 x (E.f64)) x))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (cbrt.f64 (E.f64)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (E.f64)) #s(literal -1 binary64)) (*.f64 (/.f64 x (E.f64)) x))
(fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 (E.f64))) (pow.f64 (E.f64) #s(literal -1/2 binary64)) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (exp.f64 #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (E.f64))) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (pow.f64 (*.f64 (/.f64 x (E.f64)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 x (E.f64)) x) #s(literal 1/2 binary64)) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (E.f64))) (/.f64 x (sqrt.f64 (E.f64))) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (/.f64 x (exp.f64 #s(literal 2/3 binary64))) (/.f64 x (cbrt.f64 (E.f64))) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 x (E.f64)) x))
(fma.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x x) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (*.f64 (/.f64 x (E.f64)) x) #s(literal 1 binary64) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (/.f64 x (E.f64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (/.f64 x (E.f64)) x (exp.f64 #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 #s(literal -1 binary64)) (*.f64 (/.f64 x (E.f64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (E.f64)) x) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (*.f64 (neg.f64 x) x) (exp.f64 #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (E.f64)) x)) (exp.f64 #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (*.f64 (/.f64 x (E.f64)) x))
(fma.f64 (*.f64 x x) (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (E.f64)) (exp.f64 #s(literal -1 binary64)))
(fma.f64 x (/.f64 x (E.f64)) (exp.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (E.f64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (E.f64)))
(-.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 x (E.f64)) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (E.f64)))
(exp.f64 (-.f64 (log1p.f64 (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (/.f64 x (E.f64)) x))
(+.f64 (*.f64 (/.f64 x (E.f64)) x) (exp.f64 #s(literal -1 binary64)))

eval157.0ms (2.3%)

Memory
21.7MiB live, 130.3MiB allocated
Compiler

Compiled 26 045 to 3 076 computations (88.2% saved)

prune77.0ms (1.1%)

Memory
-28.0MiB live, 58.2MiB allocated
Pruning

33 alts after pruning (24 fresh and 9 done)

PrunedKeptTotal
New91513928
Fresh01111
Picked055
Done044
Total91533948
Accuracy
100.0%
Counts
948 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
100.0%
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
57.0%
(exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x)))
74.9%
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (E.f64) (neg.f64 (E.f64))) (*.f64 (neg.f64 (E.f64)) (E.f64))))
74.9%
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
52.2%
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
74.9%
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
74.9%
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64)))))
52.1%
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x x) 1)) (fma.f64 (neg.f64 (E.f64)) (*.f64 x x) (E.f64)))))
74.9%
#s(approx (/ (pow (exp x) x) (E)) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
85.4%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64)))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 x (/.f64 (E.f64) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (E.f64) x) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (/.f64 x (E.f64)) x) x) (*.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
87.0%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 (/.f64 x (E.f64)) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (E.f64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (E.f64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
86.7%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
35.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (E.f64) (*.f64 x x)) (*.f64 (E.f64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 (E.f64) (/.f64 (E.f64) (*.f64 x x)))))
35.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))
35.9%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (E.f64) (*.f64 x x)) (E.f64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (E.f64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))))
35.8%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))))
25.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))))
25.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 x (/.f64 (E.f64) x))))
25.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
25.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x)))
Compiler

Compiled 1 654 to 664 computations (59.9% saved)

regimes56.0ms (0.8%)

Memory
16.6MiB live, 52.8MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x x) 1)) (fma.f64 (neg.f64 (E.f64)) (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (pow (exp x) x) (E)) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (E.f64) (neg.f64 (E.f64))) (*.f64 (neg.f64 (E.f64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (/.f64 x (E.f64)) x) x) (*.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (E.f64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 x (/.f64 (E.f64) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 (/.f64 x (E.f64)) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (E.f64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (E.f64) x) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (E.f64) (*.f64 x x)) (*.f64 (E.f64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 (E.f64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (E.f64) (*.f64 x x)) (E.f64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (E.f64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))))
(exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))))
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))))
Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
Calls

5 calls:

18.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
10.0ms
x
9.0ms
(*.f64 x x)
9.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
8.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
100.0%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
100.0%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
100.0%1(*.f64 x x)
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes55.0ms (0.8%)

Memory
9.7MiB live, 48.7MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x x) 1)) (fma.f64 (neg.f64 (E.f64)) (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (pow (exp x) x) (E)) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (E.f64) (neg.f64 (E.f64))) (*.f64 (neg.f64 (E.f64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (/.f64 x (E.f64)) x) x) (*.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (E.f64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 x (/.f64 (E.f64) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 (/.f64 x (E.f64)) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (E.f64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (E.f64) x) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (E.f64) (*.f64 x x)) (*.f64 (E.f64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 (E.f64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (E.f64) (*.f64 x x)) (E.f64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (E.f64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))))
(exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x)))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64)))))
(exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x)))
Calls

5 calls:

23.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
9.0ms
x
8.0ms
(*.f64 x x)
7.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
7.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
99.6%2x
99.6%2(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
99.6%2(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
99.6%2(-.f64 #s(literal 1 binary64) (*.f64 x x))
99.6%2(*.f64 x x)
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes81.0ms (1.2%)

Memory
-1.6MiB live, 43.9MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x x) 1)) (fma.f64 (neg.f64 (E.f64)) (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (pow (exp x) x) (E)) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (E.f64) (neg.f64 (E.f64))) (*.f64 (neg.f64 (E.f64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (/.f64 x (E.f64)) x) x) (*.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (E.f64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 x (/.f64 (E.f64) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 (/.f64 x (E.f64)) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (E.f64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (E.f64) x) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (E.f64) (*.f64 x x)) (*.f64 (E.f64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 (E.f64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (E.f64) (*.f64 x x)) (E.f64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (E.f64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
Calls

5 calls:

50.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
8.0ms
x
7.0ms
(*.f64 x x)
7.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
6.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
87.0%1x
87.0%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
87.0%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
87.0%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
87.0%1(*.f64 x x)
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes43.0ms (0.6%)

Memory
-6.8MiB live, 31.3MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x x) 1)) (fma.f64 (neg.f64 (E.f64)) (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (pow (exp x) x) (E)) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (E.f64) (neg.f64 (E.f64))) (*.f64 (neg.f64 (E.f64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (/.f64 x (E.f64)) x) x) (*.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (E.f64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 x (/.f64 (E.f64) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
Calls

5 calls:

22.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
6.0ms
x
5.0ms
(*.f64 x x)
5.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
86.7%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
86.7%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
86.7%1x
86.7%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
86.7%1(*.f64 x x)
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes32.0ms (0.5%)

Memory
-13.9MiB live, 23.8MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x x) 1)) (fma.f64 (neg.f64 (E.f64)) (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (pow (exp x) x) (E)) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (E.f64) (neg.f64 (E.f64))) (*.f64 (neg.f64 (E.f64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))))
Calls

5 calls:

18.0ms
x
3.0ms
(*.f64 x x)
3.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
85.4%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
85.4%1x
85.4%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
85.4%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
85.4%1(*.f64 x x)
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes17.0ms (0.2%)

Memory
23.1MiB live, 23.1MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x x) 1)) (fma.f64 (neg.f64 (E.f64)) (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (pow (exp x) x) (E)) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (E.f64) (neg.f64 (E.f64))) (*.f64 (neg.f64 (E.f64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64)))))
Outputs
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
Calls

5 calls:

4.0ms
x
3.0ms
(*.f64 x x)
3.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
74.9%1x
74.9%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
74.9%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
74.9%1(*.f64 x x)
74.9%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes13.0ms (0.2%)

Memory
-25.5MiB live, 12.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))))
Outputs
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x)))
Calls

5 calls:

7.0ms
x
1.0ms
(*.f64 x x)
1.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
74.0%2x
74.0%2(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
74.0%2(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
74.0%2(-.f64 #s(literal 1 binary64) (*.f64 x x))
74.0%2(*.f64 x x)
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes5.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
Outputs
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
Calls

5 calls:

1.0ms
x
1.0ms
(*.f64 x x)
1.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
52.2%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
52.2%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
52.2%1x
52.2%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
52.2%1(*.f64 x x)
Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7435656827432728
59840.23349735226
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.8771455247755112e-5
1.7435656827432728
Compiler

Compiled 10 to 10 computations (0% saved)

simplify75.0ms (1.1%)

Memory
0.0MiB live, 40.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056203
179203
2128198
3236198
4496197
51205197
63280197
76749197
Stop Event
node limit
Calls
Call 1
Inputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (*.f64 x x) #s(literal 2 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64))))) (exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (*.f64 x x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))
Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (*.f64 x x) #s(literal 2 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64))))) (exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x))))
(if (<=.f64 (*.f64 x x) #s(literal 2 binary64)) #s(approx (/ (pow (exp x) x) (E)) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64))))) (exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (*.f64 x x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x))))
(if (<=.f64 (*.f64 x x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) #s(approx (/ (pow (exp x) x) (E)) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x))))
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))

soundness1.4s (21.3%)

Memory
6.1MiB live, 726.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090310
1281258
2784230
31874226
45118226
56433226
67340226
08012196
03092
18186
224782
360979
4132179
5201979
6318879
7567279
0823470
025111
039110
1141102
291698
0868198
031149
045140
1187125
21487125
08447123
0621
01021
13719
223119
3193219
0932216
088297
1263285
2720261
31685251
42745251
54666251
65677251
77088251
08059216
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 491 to 280 computations (43% saved)

preprocess88.0ms (1.3%)

Memory
-18.1MiB live, 102.2MiB allocated
Remove

(abs x)

Compiler

Compiled 450 to 154 computations (65.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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