exp neg sub

Time bar (total: 10.5s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample705.0ms (6.7%)

Memory
25.4MiB live, 1 294.5MiB allocated
Samples
496.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 275.0ms
ival-exp: 84.0ms (30.6% of total)
ival-mult: 78.0ms (28.4% of total)
ival-sub: 59.0ms (21.5% of total)
ival-neg: 40.0ms (14.6% of total)
ival-true: 5.0ms (1.8% of total)
exact: 4.0ms (1.5% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

preprocess393.0ms (3.7%)

Memory
32.7MiB live, 527.5MiB allocated
Algorithm
egg-herbie
Rules
7 302×lower-fma.f64
7 302×lower-fma.f32
2 712×lower-*.f32
2 710×lower-*.f64
2 292×exp-sum
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
13013
27413
315613
428213
541013
663513
796813
8162513
9301313
10613513
067
0107
1226
2516
31066
41926
52936
64686
77766
812776
921096
1042916
1173866
080735
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)

explain124.0ms (1.2%)

Memory
6.8MiB live, 198.2MiB 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
72.0ms512×0valid
Compiler

Compiled 66 to 28 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 51.0ms (83.8% of total)
ival-exp: 4.0ms (6.6% of total)
ival-sub: 2.0ms (3.3% of total)
ival-neg: 2.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.2MiB live, 2.2MiB 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 8 to 6 computations (25% saved)

simplify273.0ms (2.6%)

Memory
-20.9MiB live, 503.0MiB 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-diff256
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Rules
7 302×lower-fma.f64
7 302×lower-fma.f32
2 712×lower-*.f32
2 710×lower-*.f64
2 292×exp-sum
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0623
01023
12221
25121
310621
419221
529321
646821
777621
8127721
9210921
10429121
11738621
0807319
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

localize20.0ms (0.2%)

Memory
17.9MiB live, 57.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy100.0%
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Samples
13.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 2.0ms (30.9% of total)
ival-mult: 2.0ms (30.9% of total)
ival-sub: 1.0ms (15.5% of total)
ival-neg: 1.0ms (15.5% 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
5.3MiB live, 5.3MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))>
#<alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
Outputs
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

12 calls:

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

simplify338.0ms (3.2%)

Memory
-71.8MiB live, 570.6MiB allocated
Algorithm
egg-herbie
Rules
9 734×lower-fma.f64
9 734×lower-fma.f32
3 654×lower-*.f64
3 654×lower-*.f32
1 572×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030254
181241
2247237
3607234
41355234
52041234
63139234
75658234
08384211
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(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)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(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) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(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) (- 1 (/ 1 (pow x 2))))
(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 -1)
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (exp -1) (* (pow x 2) (exp -1)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #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 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite379.0ms (3.6%)

Memory
32.7MiB live, 508.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 524×lower-fma.f64
5 524×lower-fma.f32
3 714×lower-/.f64
3 714×lower-/.f32
2 654×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0621
01021
13719
222719
3192319
0930416
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 x x) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(+.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 x x))
(-.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 x x #s(literal 1 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 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))) (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (log.f64 (exp.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (-.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 x (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) x)
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64)) x)

eval72.0ms (0.7%)

Memory
9.2MiB live, 125.3MiB allocated
Compiler

Compiled 16 910 to 1 785 computations (89.4% saved)

prune80.0ms (0.8%)

Memory
-17.5MiB live, 140.6MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New5426548
Fresh000
Picked101
Done000
Total5436549
Accuracy
100.0%
Counts
549 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
57.0%
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
52.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
85.3%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
74.4%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
Compiler

Compiled 122 to 78 computations (36.1% saved)

simplify413.0ms (3.9%)

Memory
-8.5MiB live, 626.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(E.f64)
cost-diff0
(/.f64 #s(literal 1 binary64) (E.f64))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))
cost-diff0
(E.f64)
cost-diff0
(/.f64 #s(literal 1 binary64) (E.f64))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
cost-diff0
(E.f64)
cost-diff0
(/.f64 #s(literal 1 binary64) (E.f64))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
(E.f64)
cost-diff0
(/.f64 #s(literal 1 binary64) (E.f64))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
Rules
20 468×lower-fma.f32
20 454×lower-fma.f64
4 420×lower-*.f32
4 406×lower-*.f64
1 514×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030232
052222
1124193
2298193
3698193
41860193
55331193
08097189
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)
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x x #s(literal 1 binary64))
x
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
x
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))
x
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 x (*.f64 x x))
Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x x #s(literal 1 binary64))
x
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
x
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))
x
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 x (*.f64 x x))

localize126.0ms (1.2%)

Memory
13.3MiB live, 207.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy90.8%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
accuracy100.0%
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
accuracy99.9%
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
accuracy99.9%
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
accuracy85.3%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (E.f64))
accuracy100.0%
(E.f64)
accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))
accuracy74.4%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (E.f64))
accuracy100.0%
(E.f64)
accuracy52.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
accuracy100.0%
(fma.f64 x x #s(literal -1 binary64))
accuracy100.0%
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
Samples
80.0ms256×0valid
Compiler

Compiled 202 to 32 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-neg: 25.0ms (40.6% of total)
ival-mult: 16.0ms (26% of total)
ival-add: 8.0ms (13% of total)
ival-exp: 4.0ms (6.5% of total)
const: 3.0ms (4.9% of total)
ival-div: 2.0ms (3.3% of total)
ival-e: 2.0ms (3.3% of total)
ival-sub: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
22.6MiB live, 22.6MiB allocated
Counts
16 → 168
Calls
Call 1
Inputs
#<alt (exp.f64 (fma.f64 x x #s(literal -1 binary64)))>
#<alt (fma.f64 x x #s(literal -1 binary64))>
#<alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))>
#<alt (/.f64 #s(literal 1 binary64) (E.f64))>
#<alt (E.f64)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))>
#<alt #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))>
#<alt #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))>
#<alt #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))>
#<alt (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))>
#<alt (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)>
Outputs
#<alt (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (/ 1 (E))>
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))>
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))>
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))>
#<alt (/ (pow x 2) (E))>
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))>
#<alt (/ (pow x 2) (E))>
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))>
#<alt (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (/ 1 (E))>
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (/ 1 (E))>
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))>
#<alt (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (* 1/2 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (* 1/2 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (pow x 2))))>
#<alt (* x (+ 1 (* 1/2 (pow x 2))))>
#<alt (* x (+ 1 (* 1/2 (pow x 2))))>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (pow x 2)))>
#<alt (+ 1/2 (* 1/6 (pow x 2)))>
#<alt (+ 1/2 (* 1/6 (pow x 2)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))>
#<alt (* 1/6 (pow x 5))>
#<alt (* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/6 (pow x 5))>
#<alt (* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6)))>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1))
1.0ms
x
@0
(* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1))
0.0ms
x
@inf
(* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1))
0.0ms
x
@inf
(* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1))
0.0ms
x
@inf
(+ (* x (* x (* x 1/2))) x)

simplify431.0ms (4.1%)

Memory
-8.3MiB live, 428.4MiB allocated
Algorithm
egg-herbie
Rules
14 082×lower-fma.f64
14 082×lower-fma.f32
3 566×lower-*.f64
3 566×lower-*.f32
2 060×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111482
13541406
29921336
324071302
447981292
568721292
080561137
Stop Event
iter limit
node limit
Counts
168 → 166
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)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(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)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/ (pow x 2) (E))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/ (pow x 2) (E))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (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)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(* 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))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* 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))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (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)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(/ 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)))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (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)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(* 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)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 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)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
x
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* 1/2 (pow x 2))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))
(* 1/6 (pow x 5))
(* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/6 (pow x 5))
(* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6)))
Outputs
(exp -1)
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (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 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) #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)))))))
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(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
x
(* x (+ 1 (* 1/2 (pow x 2))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)
(* 1/6 (pow x 5))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* 1/6 (pow x 5))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))))

rewrite1.0s (9.5%)

Memory
23.7MiB live, 581.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 174×lower-fma.f32
5 160×lower-fma.f64
4 588×lower-/.f32
4 586×lower-/.f64
4 266×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030177
052169
1227143
21784143
08331139
Stop Event
iter limit
node limit
iter limit
Counts
16 → 983
Calls
Call 1
Inputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
(/.f64 #s(literal 1 binary64) (E.f64))
(E.f64)
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 x (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)
Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (neg.f64 (*.f64 x x))))
(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 x x))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) x) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (exp.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (pow.f64 (exp.f64 (neg.f64 (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (neg.f64 (neg.f64 (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))))
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (E.f64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) x) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (pow.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(expm1.f64 (log.f64 (*.f64 x x)))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x x))))))
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(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x))))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)))))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x)))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x))))))

eval269.0ms (2.6%)

Memory
0.7MiB live, 448.9MiB allocated
Compiler

Compiled 35 813 to 2 871 computations (92% saved)

prune343.0ms (3.3%)

Memory
-55.4MiB live, 598.4MiB allocated
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New1 326241 350
Fresh101
Picked235
Done000
Total1 329271 356
Accuracy
100.0%
Counts
1 356 → 27
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)))
74.4%
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (E.f64)) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
74.4%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
85.3%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
60.5%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))))
74.4%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
52.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
74.4%
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
69.7%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
69.7%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
70.8%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) x) #s(literal 1 binary64))))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64))))
90.1%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))
74.4%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
35.3%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
35.6%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)))))
40.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))))
35.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
35.3%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
24.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
Compiler

Compiled 877 to 504 computations (42.5% saved)

simplify244.0ms (2.3%)

Memory
-1.7MiB live, 635.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(E.f64)
cost-diff0
(/.f64 #s(literal 1 binary64) (E.f64))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))
cost-diff0
(E.f64)
cost-diff0
(/.f64 #s(literal 1 binary64) (E.f64))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64)))
cost-diff0
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))
cost-diff0
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64)))))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) (E.f64))
cost-diff0
#s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
(E.f64)
cost-diff0
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
Rules
8 864×lower-fma.f32
8 850×lower-fma.f64
5 054×lower-*.f32
5 032×lower-*.f64
1 384×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059521
092475
1198415
2464415
3947405
41619405
54738405
08301387
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 (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
x
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64)))))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))
x
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 x (E.f64))
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))
x
#s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))
x
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x)
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal 1/36 binary64)
#s(literal -1/4 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
Outputs
(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 (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
x
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64))))
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64)))))
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64)))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64))
x
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (E.f64))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 x (E.f64))
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (E.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (E.f64))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))
x
#s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal 1/36 binary64)
#s(literal -1/4 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)

localize162.0ms (1.5%)

Memory
44.9MiB live, 438.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy99.8%
(*.f64 x (*.f64 x (*.f64 x x)))
accuracy90.8%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
accuracy72.5%
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
accuracy99.8%
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
accuracy90.8%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))
accuracy50.4%
#s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
accuracy99.8%
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))
accuracy99.4%
(/.f64 x (E.f64))
accuracy85.3%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
accuracy49.8%
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64)))))
accuracy100.0%
(E.f64)
accuracy99.7%
(/.f64 (*.f64 x x) (E.f64))
accuracy74.4%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
accuracy49.6%
#s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))
accuracy100.0%
(fma.f64 x x #s(literal -1 binary64))
accuracy100.0%
(E.f64)
accuracy100.0%
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
Samples
90.0ms256×0valid
Compiler

Compiled 376 to 54 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 29.0ms (42.3% of total)
ival-add: 13.0ms (19% of total)
const: 7.0ms (10.2% of total)
ival-div: 6.0ms (8.8% of total)
ival-pow: 6.0ms (8.8% of total)
ival-exp: 2.0ms (2.9% of total)
ival-e: 2.0ms (2.9% of total)
ival-sub: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
-23.9MiB live, 18.8MiB allocated
Counts
23 → 252
Calls
Call 1
Inputs
#<alt (pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))>
#<alt (E.f64)>
#<alt (fma.f64 x x #s(literal -1 binary64))>
#<alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))>
#<alt #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))>
#<alt (/.f64 (*.f64 x x) (E.f64))>
#<alt (*.f64 x x)>
#<alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))>
#<alt #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64)))))>
#<alt (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))>
#<alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))>
#<alt #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (E.f64))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))>
#<alt #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))>
#<alt (/.f64 x (E.f64))>
#<alt #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))>
#<alt (*.f64 (*.f64 x x) #s(literal 1/6 binary64))>
#<alt (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))>
#<alt (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))>
#<alt (*.f64 x (*.f64 x (*.f64 x x)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))>
Outputs
#<alt (/ 1 (E))>
#<alt (+ (/ 1 (E)) (/ (* (pow x 2) (log (E))) (E)))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (E))) (/ (log (E)) (E)))) (/ 1 (E)))>
#<alt (+ (* (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)))>
#<alt (exp (* (log (E)) (- (pow x 2) 1)))>
#<alt (exp (* (log (E)) (- (pow x 2) 1)))>
#<alt (exp (* (log (E)) (- (pow x 2) 1)))>
#<alt (exp (* (log (E)) (- (pow x 2) 1)))>
#<alt (exp (* (log (E)) (- (pow x 2) 1)))>
#<alt (exp (* (log (E)) (- (pow x 2) 1)))>
#<alt (exp (* (log (E)) (- (pow x 2) 1)))>
#<alt (exp (* (log (E)) (- (pow x 2) 1)))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (/ 1 (E))>
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))>
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))>
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))>
#<alt (/ (pow x 2) (E))>
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))>
#<alt (/ (pow x 2) (E))>
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))>
#<alt (/ (pow x 2) (E))>
#<alt (/ (pow x 2) (E))>
#<alt (/ (pow x 2) (E))>
#<alt (/ (pow x 2) (E))>
#<alt (/ (pow x 2) (E))>
#<alt (/ (pow x 2) (E))>
#<alt (/ (pow x 2) (E))>
#<alt (/ (pow x 2) (E))>
#<alt (/ (pow x 2) (E))>
#<alt (/ (pow x 2) (E))>
#<alt (/ (pow x 2) (E))>
#<alt (/ (pow x 2) (E))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (/ 1 (E))>
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (/ (pow x 2) (E))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (/ x (E))>
#<alt (* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))>
#<alt (* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))>
#<alt (* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))>
#<alt (* 1/2 (/ (pow x 3) (E)))>
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* 1/2 (/ (pow x 3) (E)))>
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (/ 1 (E))>
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))>
#<alt (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (/ 1 (E))>
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))>
#<alt (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))>
#<alt (* 1/6 (pow x 5))>
#<alt (* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/6 (pow x 5))>
#<alt (* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (pow x 2)))>
#<alt (+ 1/2 (* 1/6 (pow x 2)))>
#<alt (+ 1/2 (* 1/6 (pow x 2)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
Calls

63 calls:

TimeVariablePointExpression
4.0ms
x
@0
(pow (E) (+ (* x x) -1))
1.0ms
x
@0
(* x (* (+ (* (* x x) 1/2) 1) (/ x (E))))
0.0ms
x
@inf
(/ (* x x) (E))
0.0ms
x
@inf
(* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1))
0.0ms
x
@-inf
(* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1))

simplify330.0ms (3.1%)

Memory
-50.6MiB live, 429.3MiB allocated
Algorithm
egg-herbie
Rules
13 318×lower-fma.f64
13 318×lower-fma.f32
3 830×lower-*.f64
3 830×lower-*.f32
2 032×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01362228
14431961
211931876
325651798
460011786
082961596
Stop Event
iter limit
node limit
Counts
252 → 251
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)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (pow x 2) 1)))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(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)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/ (pow x 2) (E))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/ (pow x 2) (E))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(* 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))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* 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))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(/ (pow x 2) (E))
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* 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)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* 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)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(/ x (E))
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* 1/2 (/ (pow x 3) (E)))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* 1/2 (/ (pow x 3) (E)))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(/ 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)))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (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)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(/ 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)))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (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)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
x
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))
(* 1/6 (pow x 5))
(* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/6 (pow x 5))
(* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6)))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
Outputs
(/ 1 (E))
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (/ 1 (E)) (/ (* (pow x 2) (log (E))) (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
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(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (E.f64)))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(* 1/6 (/ (pow x 6) (E)))
(*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (E.f64)))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(exp -1)
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (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 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #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 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(/ x (E))
(/.f64 x (E.f64))
(/ x (E))
(/.f64 x (E.f64))
(/ x (E))
(/.f64 x (E.f64))
(/ x (E))
(/.f64 x (E.f64))
(/ x (E))
(/.f64 x (E.f64))
(/ x (E))
(/.f64 x (E.f64))
(/ x (E))
(/.f64 x (E.f64))
(/ x (E))
(/.f64 x (E.f64))
(/ x (E))
(/.f64 x (E.f64))
(/ x (E))
(/.f64 x (E.f64))
(/ x (E))
(/.f64 x (E.f64))
(/ x (E))
(/.f64 x (E.f64))
x
(* x (+ 1 (* 1/2 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* 1/6 (pow x 5))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* 1/6 (pow x 5))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))

rewrite353.0ms (3.4%)

Memory
0.5MiB live, 279.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 922×lower-fma.f32
4 908×lower-fma.f64
4 344×lower-*.f32
4 322×lower-*.f64
3 678×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059368
092342
1377273
23139267
08743251
Stop Event
iter limit
node limit
iter limit
Counts
23 → 726
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 (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64)))))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (E.f64))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
(/.f64 x (E.f64))
#s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(*.f64 x (*.f64 x (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 #s(literal 1 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)))))
(exp.f64 (*.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 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (E.f64) (E.f64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (E.f64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (pow.f64 (E.f64) (*.f64 x (neg.f64 x))))
(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (E.f64)))
(/.f64 (pow.f64 (E.f64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (E.f64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)) (exp.f64 (*.f64 x (neg.f64 x))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (pow.f64 (pow.f64 (E.f64) (+.f64 x #s(literal 1 binary64))) x) (pow.f64 (pow.f64 (E.f64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (exp.f64 (*.f64 x x))) (neg.f64 (E.f64)))
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(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64))) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64))) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))

eval219.0ms (2.1%)

Memory
4.5MiB live, 124.3MiB allocated
Compiler

Compiled 28 856 to 2 767 computations (90.4% saved)

prune225.0ms (2.1%)

Memory
-5.6MiB live, 161.7MiB allocated
Pruning

39 alts after pruning (33 fresh and 6 done)

PrunedKeptTotal
New1 246201 266
Fresh61319
Picked235
Done033
Total1 254391 293
Accuracy
100.0%
Counts
1 293 → 39
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)))
85.3%
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (E.f64)))
74.4%
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (E.f64)) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
90.1%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
74.4%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
90.1%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (E.f64)))
60.5%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))))
90.1%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
74.4%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
52.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
74.4%
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
69.7%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
69.7%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
70.8%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) x) #s(literal 1 binary64))))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64))))
74.4%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
35.3%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
41.1%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
40.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))))
40.8%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (E.f64)))))
40.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))))
35.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 (E.f64) x))))
35.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)) (E.f64))))
35.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
35.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64)))))
35.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
35.3%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
35.3%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64)))))))
24.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
24.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
24.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x))))
24.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
Compiler

Compiled 1 151 to 672 computations (41.6% saved)

simplify303.0ms (2.9%)

Memory
29.1MiB live, 261.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
cost-diff0
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
cost-diff640
(/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))
cost-diff0
#s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64)))
cost-diff0
(*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))
cost-diff0
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64)))))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
cost-diff0
#s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64)))
cost-diff0
(*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))
cost-diff0
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64)))))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
cost-diff0
(E.f64)
cost-diff0
(/.f64 #s(literal 1 binary64) (E.f64))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64)))
Rules
8 910×lower-fma.f32
8 898×lower-fma.f64
4 832×lower-*.f32
4 804×lower-*.f64
1 792×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072609
0110564
1255507
2569501
31347489
42573489
57870489
08616455
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64))
x
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64)))))
(*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))
x
#s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64)))
(/.f64 x (E.f64))
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))
x
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64)))
#s(literal 1/2 binary64)
(/.f64 (*.f64 x (*.f64 x x)) (E.f64))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))))
(*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))
(*.f64 x x)
x
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
(/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
x
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
(*.f64 x x)
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(E.f64)
(*.f64 (E.f64) (E.f64))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64)))))
(*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))
x
#s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64)))
(/.f64 x (E.f64))
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64)))))
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64)))
x
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64)))
(/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64))
#s(literal 1/2 binary64)
(/.f64 (*.f64 x (*.f64 x x)) (E.f64))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (E.f64))))
#s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))))
#s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (E.f64)))
(*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))
(/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (E.f64))
(*.f64 x x)
x
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64))
(fma.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (*.f64 x (E.f64)) (E.f64))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
x
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)
(*.f64 x x)
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(E.f64)
(*.f64 (E.f64) (E.f64))

localize245.0ms (2.3%)

Memory
-13.0MiB live, 193.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
accuracy99.2%
(/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))
accuracy98.4%
(*.f64 (E.f64) (E.f64))
accuracy90.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
accuracy99.8%
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
accuracy90.8%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))))
accuracy49.2%
#s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))))
accuracy99.9%
(*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))
accuracy99.5%
(/.f64 (*.f64 x (*.f64 x x)) (E.f64))
accuracy85.3%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
accuracy49.3%
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64)))))
accuracy99.4%
(/.f64 x (E.f64))
accuracy85.3%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
accuracy54.4%
#s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64)))
accuracy49.8%
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64)))))
accuracy99.9%
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x)
accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy99.9%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy90.8%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64))))
Samples
135.0ms256×0valid
Compiler

Compiled 417 to 64 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 53.0ms (53.3% of total)
ival-add: 26.0ms (26.2% of total)
ival-div: 8.0ms (8% of total)
const: 6.0ms (6% of total)
ival-exp: 2.0ms (2% of total)
ival-e: 2.0ms (2% of total)
ival-sub: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
29 → 312
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64)))>
#<alt #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (E.f64))>
#<alt (E.f64)>
#<alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))>
#<alt #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64)))))>
#<alt (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))>
#<alt #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64)))>
#<alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))>
#<alt #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64)))))>
#<alt (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64)))>
#<alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))))>
#<alt #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))))>
#<alt (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))>
#<alt (*.f64 x x)>
#<alt (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))>
#<alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))>
#<alt (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
#<alt (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x)>
#<alt (/.f64 x (E.f64))>
#<alt (/.f64 (*.f64 x (*.f64 x x)) (E.f64))>
#<alt (*.f64 (*.f64 x x) #s(literal 1/6 binary64))>
#<alt (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))>
#<alt (*.f64 (E.f64) (E.f64))>
#<alt (*.f64 x #s(literal 1/6 binary64))>
Outputs
#<alt (/ 1 (E))>
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))>
#<alt (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (/ 1 (E))>
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (/ (pow x 2) (E))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (/ x (E))>
#<alt (* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))>
#<alt (* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))>
#<alt (* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))>
#<alt (* 1/2 (/ (pow x 3) (E)))>
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* 1/2 (/ (pow x 3) (E)))>
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (/ 1 (E))>
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* 1/2 (/ (pow x 4) (E)))>
#<alt (* 1/2 (/ (pow x 3) (E)))>
#<alt (* 1/2 (/ (pow x 3) (E)))>
#<alt (* 1/2 (/ (pow x 3) (E)))>
#<alt (* 1/2 (/ (pow x 3) (E)))>
#<alt (* 1/2 (/ (pow x 3) (E)))>
#<alt (* 1/2 (/ (pow x 3) (E)))>
#<alt (* 1/2 (/ (pow x 3) (E)))>
#<alt (* 1/2 (/ (pow x 3) (E)))>
#<alt (* 1/2 (/ (pow x 3) (E)))>
#<alt (* 1/2 (/ (pow x 3) (E)))>
#<alt (* 1/2 (/ (pow x 3) (E)))>
#<alt (* 1/2 (/ (pow x 3) (E)))>
#<alt (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (/ 1 (E))>
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1 (E))>
#<alt (+ (/ 1 (E)) (/ (pow x 2) (E)))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))>
#<alt (* 1/6 (/ (pow x 6) (E)))>
#<alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))>
#<alt (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (exp (- (pow x 2) 1))>
#<alt (E)>
#<alt (+ (E) (* (pow x 2) (E)))>
#<alt (+ (E) (* (pow x 2) (+ (E) (* 1/2 (* (pow x 2) (E))))))>
#<alt (+ (E) (* (pow x 2) (+ (E) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (E))) (* 1/2 (E)))))))>
#<alt (* 1/6 (* (pow x 6) (E)))>
#<alt (* (pow x 6) (+ (* 1/6 (E)) (* 1/2 (/ (E) (pow x 2)))))>
#<alt (* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (/ (E) (pow x 4)))))>
#<alt (* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (+ (/ (E) (pow x 4)) (/ (E) (pow x 6))))))>
#<alt (* 1/6 (* (pow x 6) (E)))>
#<alt (* (pow x 6) (+ (* 1/6 (E)) (* 1/2 (/ (E) (pow x 2)))))>
#<alt (* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (/ (E) (pow x 4)))))>
#<alt (* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (+ (/ (E) (pow x 4)) (/ (E) (pow x 6))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))>
#<alt (* 1/6 (pow x 6))>
#<alt (* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/6 (pow x 6))>
#<alt (* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/6 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (pow x 2)))>
#<alt (+ 1/2 (* 1/6 (pow x 2)))>
#<alt (+ 1/2 (* 1/6 (pow x 2)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))>
#<alt (* 1/6 (pow x 5))>
#<alt (* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/6 (pow x 5))>
#<alt (* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6)))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ x (E))>
#<alt (/ (pow x 3) (E))>
#<alt (/ (pow x 3) (E))>
#<alt (/ (pow x 3) (E))>
#<alt (/ (pow x 3) (E))>
#<alt (/ (pow x 3) (E))>
#<alt (/ (pow x 3) (E))>
#<alt (/ (pow x 3) (E))>
#<alt (/ (pow x 3) (E))>
#<alt (/ (pow x 3) (E))>
#<alt (/ (pow x 3) (E))>
#<alt (/ (pow x 3) (E))>
#<alt (/ (pow x 3) (E))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
Calls

78 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* (* x x) (/ (* x (* x (* (* x x) 1/6))) (E)))
1.0ms
x
@inf
(* x (* 1/2 (/ (* x (* x x)) (E))))
0.0ms
x
@inf
(* (* x x) (/ (* x (* x (* (* x x) 1/6))) (E)))
0.0ms
x
@0
(* x (* 1/2 (/ (* x (* x x)) (E))))
0.0ms
x
@-inf
(/ (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (* (E) (E)))

simplify325.0ms (3.1%)

Memory
-28.7MiB live, 485.2MiB allocated
Algorithm
egg-herbie
Rules
17 188×lower-fma.f64
17 188×lower-fma.f32
3 852×lower-*.f64
3 852×lower-*.f32
1 938×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01392938
14612749
213032636
331352557
457502535
578292535
081302299
Stop Event
iter limit
node limit
Counts
312 → 311
Calls
Call 1
Inputs
(/ 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)))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (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)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (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)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(* 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))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* 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))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(/ (pow x 2) (E))
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* 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)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* 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)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(/ x (E))
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* 1/2 (/ (pow x 3) (E)))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* 1/2 (/ (pow x 3) (E)))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (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)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(* 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))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* 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))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (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)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(/ 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)))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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)))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (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)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(E)
(+ (E) (* (pow x 2) (E)))
(+ (E) (* (pow x 2) (+ (E) (* 1/2 (* (pow x 2) (E))))))
(+ (E) (* (pow x 2) (+ (E) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (E))) (* 1/2 (E)))))))
(* 1/6 (* (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (E)) (* 1/2 (/ (E) (pow x 2)))))
(* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (/ (E) (pow x 4)))))
(* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (+ (/ (E) (pow x 4)) (/ (E) (pow x 6))))))
(* 1/6 (* (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (E)) (* 1/2 (/ (E) (pow x 2)))))
(* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (/ (E) (pow x 4)))))
(* (pow x 6) (+ (* 1/6 (E)) (+ (* 1/2 (/ (E) (pow x 2))) (+ (/ (E) (pow x 4)) (/ (E) (pow x 6))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))
(* 1/6 (pow x 6))
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/6 (pow x 6))
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 (pow x 2))))
(* x (+ 1/2 (* 1/6 (pow x 2))))
(* x (+ 1/2 (* 1/6 (pow x 2))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))
(* 1/6 (pow x 5))
(* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/6 (pow x 5))
(* (pow x 5) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/6)))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ (pow x 3) (E))
(/ (pow x 3) (E))
(/ (pow x 3) (E))
(/ (pow x 3) (E))
(/ (pow x 3) (E))
(/ (pow x 3) (E))
(/ (pow x 3) (E))
(/ (pow x 3) (E))
(/ (pow x 3) (E))
(/ (pow x 3) (E))
(/ (pow x 3) (E))
(/ (pow x 3) (E))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
Outputs
(/ 1 (E))
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (/ 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 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #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 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
(* 1/6 (/ (pow x 6) (E)))
(/.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (E.f64))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(*.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(*.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
(* 1/6 (/ (pow x 6) (E)))
(/.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (E.f64))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(*.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(*.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
(exp -1)
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (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 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #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)))))))
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(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))

rewrite286.0ms (2.7%)

Memory
17.2MiB live, 459.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 782×lower-fma.f32
3 770×lower-fma.f64
3 748×lower-/.f32
3 738×lower-/.f64
3 726×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072516
0110479
1458406
23499406
08174385
Stop Event
iter limit
node limit
iter limit
Counts
29 → 776
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (E.f64))
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64)))))
(*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))
#s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
#s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))))
(*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))
(*.f64 x x)
(/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x)
(/.f64 x (E.f64))
(/.f64 (*.f64 x (*.f64 x x)) (E.f64))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (E.f64) (E.f64))
(*.f64 x #s(literal 1/6 binary64))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))
(+.f64 (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) (/.f64 #s(literal 1 binary64) (E.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (E.f64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (*.f64 x (E.f64))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (*.f64 x (E.f64)))) (*.f64 (E.f64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)))) (*.f64 (E.f64) (E.f64))) (/.f64 (/.f64 (*.f64 (E.f64) (E.f64)) (*.f64 (E.f64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)))) (*.f64 (E.f64) (E.f64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (E.f64) (neg.f64 (E.f64)))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (neg.f64 (E.f64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (*.f64 x (E.f64))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (*.f64 x (E.f64)))) (*.f64 (*.f64 (E.f64) (E.f64)) (*.f64 (E.f64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal -1 binary64))))) (/.f64 (*.f64 (E.f64) (E.f64)) (*.f64 (*.f64 (E.f64) (E.f64)) (*.f64 (E.f64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal -1 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal -1 binary64))) (E.f64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal -1 binary64))) (E.f64)))
(-.f64 (/.f64 (*.f64 (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)) (E.f64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (E.f64))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)) (E.f64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) (/.f64 #s(literal 1 binary64) (E.f64)))
(fma.f64 (E.f64) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (E.f64))) (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64) (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) (/.f64 #s(literal 1 binary64) (E.f64)))
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64)))
(fma.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (/.f64 #s(literal 1 binary64) (E.f64)))
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))
(fma.f64 (exp.f64 #s(literal -1/3 binary64)) (exp.f64 #s(literal -2/3 binary64)) (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))
(fma.f64 (exp.f64 #s(literal -2/3 binary64)) (exp.f64 #s(literal -1/3 binary64)) (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) x (/.f64 #s(literal 1 binary64) (E.f64)))
(neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (neg.f64 (E.f64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (*.f64 x (E.f64)) (E.f64))) (*.f64 (E.f64) (E.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (E.f64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (E.f64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (*.f64 x (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (E.f64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 (E.f64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (E.f64) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (*.f64 x (E.f64)) (E.f64))) (*.f64 (E.f64) (neg.f64 (E.f64))))
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(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 x))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (E.f64) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (E.f64))) (/.f64 x (neg.f64 (E.f64))))
(neg.f64 (/.f64 x (neg.f64 (E.f64))))
(neg.f64 (/.f64 (neg.f64 x) (E.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (E.f64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (E.f64) x))))
(/.f64 x (E.f64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (E.f64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (E.f64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (E.f64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (E.f64))))
(/.f64 (/.f64 x #s(literal 1 binary64)) (E.f64))
(/.f64 (/.f64 x (exp.f64 #s(literal 2/3 binary64))) (exp.f64 #s(literal 1/3 binary64)))
(/.f64 (/.f64 x (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (E.f64))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 (E.f64)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (E.f64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (E.f64)))))
(/.f64 (neg.f64 (/.f64 x #s(literal 1 binary64))) (neg.f64 (E.f64)))
(/.f64 (neg.f64 (/.f64 x (exp.f64 #s(literal 2/3 binary64)))) (neg.f64 (exp.f64 #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 (E.f64)))) (neg.f64 (sqrt.f64 (E.f64))))
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (neg.f64 (neg.f64 (E.f64))))
(pow.f64 (/.f64 (E.f64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (E.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 x (/.f64 #s(literal 1 binary64) (E.f64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (E.f64)))
(*.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 (/.f64 (exp.f64 #s(literal 1/3 binary64)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) x) #s(literal -1 binary64)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (E.f64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(exp.f64 (+.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (E.f64))) (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (E.f64))))
(neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (E.f64))))
(neg.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (E.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (E.f64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (E.f64) (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 x (*.f64 x x)) (E.f64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (E.f64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (E.f64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (neg.f64 (E.f64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (neg.f64 (E.f64))))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (E.f64))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 #s(literal 2/3 binary64))) (exp.f64 #s(literal 1/3 binary64)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (E.f64))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (E.f64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (E.f64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (neg.f64 (E.f64)))))
(/.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (sqrt.f64 (E.f64)))) (neg.f64 (sqrt.f64 (E.f64))))
(/.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (E.f64)))
(/.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 #s(literal 2/3 binary64)))) (neg.f64 (exp.f64 #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (E.f64))))
(pow.f64 (/.f64 (E.f64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (E.f64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 x (/.f64 (*.f64 x x) (E.f64)))
(*.f64 (*.f64 x x) (/.f64 x (E.f64)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (E.f64)))
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)))
(*.f64 (/.f64 (*.f64 x x) (E.f64)) x)
(*.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 (/.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))
(*.f64 (/.f64 x (exp.f64 #s(literal 2/3 binary64))) (/.f64 (*.f64 x x) (exp.f64 #s(literal 1/3 binary64))))
(*.f64 (/.f64 x (sqrt.f64 (E.f64))) (/.f64 (*.f64 x x) (sqrt.f64 (E.f64))))
(*.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 x (E.f64)))
(*.f64 (/.f64 (*.f64 x x) (exp.f64 #s(literal 2/3 binary64))) (/.f64 x (exp.f64 #s(literal 1/3 binary64))))
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (E.f64))) (/.f64 x (sqrt.f64 (E.f64))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (E.f64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (E.f64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 #s(literal 2/3 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (exp.f64 #s(literal 1/3 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (E.f64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (E.f64)) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) x) #s(literal -1 binary64)))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x))
(exp.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (E.f64) (E.f64))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (*.f64 (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
(cbrt.f64 (*.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64))) (*.f64 (E.f64) (*.f64 (E.f64) (E.f64)))))
(pow.f64 (E.f64) #s(literal 2 binary64))
(pow.f64 (*.f64 (E.f64) (E.f64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 6 binary64))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (E.f64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64))) #s(literal 2/3 binary64))
(pow.f64 (*.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64))) (*.f64 (E.f64) (*.f64 (E.f64) (E.f64)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (E.f64) (E.f64)))
(*.f64 (E.f64) (E.f64))
(*.f64 (*.f64 (E.f64) (E.f64)) #s(literal 1 binary64))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (exp.f64 #s(literal 4/3 binary64)))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (E.f64) #s(literal 4/3 binary64)))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 4/3 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (E.f64)) (*.f64 (E.f64) (sqrt.f64 (E.f64))))
(*.f64 (sqrt.f64 (E.f64)) (pow.f64 (*.f64 (E.f64) (sqrt.f64 (E.f64))) #s(literal 1 binary64)))
(*.f64 (exp.f64 #s(literal 4/3 binary64)) (exp.f64 #s(literal 2/3 binary64)))
(*.f64 (*.f64 (E.f64) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)))
(*.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64))) (exp.f64 #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (E.f64) (sqrt.f64 (E.f64))) #s(literal 1 binary64)) (sqrt.f64 (E.f64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64))) #s(literal 1 binary64)) (exp.f64 #s(literal 1/3 binary64)))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)

eval201.0ms (1.9%)

Memory
15.7MiB live, 402.8MiB allocated
Compiler

Compiled 39 955 to 3 023 computations (92.4% saved)

prune158.0ms (1.5%)

Memory
-0.2MiB live, 402.9MiB allocated
Pruning

46 alts after pruning (38 fresh and 8 done)

PrunedKeptTotal
New1 461181 479
Fresh82028
Picked325
Done066
Total1 472461 518
Accuracy
100.0%
Counts
1 518 → 46
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)))
85.3%
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (E.f64)))
74.4%
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64))))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 (E.f64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) x (E.f64)) (*.f64 (E.f64) (E.f64))))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) (E.f64)) (*.f64 (E.f64) (E.f64))))
74.4%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
90.1%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (E.f64)))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (neg.f64 (E.f64)) (*.f64 (neg.f64 (E.f64)) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))) (*.f64 (E.f64) (neg.f64 (E.f64)))))
60.5%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
40.7%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (*.f64 (E.f64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) (*.f64 (E.f64) (E.f64))))
90.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))))
74.4%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
52.8%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
74.4%
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
69.7%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
69.7%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
70.8%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) x) #s(literal 1 binary64))))
74.4%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
41.1%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (* (E) (E))) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
40.8%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (* (E) (E))) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
40.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (/.f64 (*.f64 x x) (/.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
40.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))) x)))
41.1%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
40.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (E.f64)))))
40.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (E.f64)))))
40.8%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (E.f64)))))
40.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64)) (*.f64 x x)))))
40.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))))
35.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 (E.f64) x))))
35.3%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64))))
35.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)) (E.f64))))
35.3%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (E.f64) (*.f64 x (*.f64 x x))))))
35.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64)))))
35.3%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64)))))
35.6%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
35.3%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
35.3%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (/.f64 x (E.f64)))))))
24.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
24.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x))))))
24.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
24.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x))))
24.7%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
Compiler

Compiled 1 775 to 629 computations (64.6% saved)

regimes85.0ms (0.8%)

Memory
-35.5MiB live, 172.1MiB allocated
Counts
69 → 1
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (/.f64 x (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (E.f64) (*.f64 x (*.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64)) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (* (E) (E))) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (* (E) (E))) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (/.f64 (*.f64 x x) (/.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (*.f64 (E.f64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 (E.f64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) x (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (neg.f64 (E.f64)) (*.f64 (neg.f64 (E.f64)) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))) (*.f64 (E.f64) (neg.f64 (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (E.f64)) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
(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))))
Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
Calls

5 calls:

19.0ms
x
18.0ms
(*.f64 x x)
16.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
15.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
14.0ms
(exp.f64 (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 27 to 18 computations (33.3% saved)

regimes80.0ms (0.8%)

Memory
24.0MiB live, 142.5MiB allocated
Counts
66 → 2
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (/.f64 x (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (E.f64) (*.f64 x (*.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64)) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (* (E) (E))) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (* (E) (E))) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (/.f64 (*.f64 x x) (/.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (*.f64 (E.f64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 (E.f64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) x (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (neg.f64 (E.f64)) (*.f64 (neg.f64 (E.f64)) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))) (*.f64 (E.f64) (neg.f64 (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (E.f64)) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
(exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x)))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
Calls

5 calls:

19.0ms
x
15.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
15.0ms
(*.f64 x x)
15.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
13.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
99.7%2x
99.7%2(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
99.7%2(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
99.7%2(-.f64 #s(literal 1 binary64) (*.f64 x x))
99.7%2(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes76.0ms (0.7%)

Memory
6.2MiB live, 123.4MiB allocated
Counts
64 → 2
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (/.f64 x (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (E.f64) (*.f64 x (*.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64)) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (* (E) (E))) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (* (E) (E))) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (/.f64 (*.f64 x x) (/.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (*.f64 (E.f64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 (E.f64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) x (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (neg.f64 (E.f64)) (*.f64 (neg.f64 (E.f64)) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))) (*.f64 (E.f64) (neg.f64 (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (E.f64)) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64)))))))
Calls

5 calls:

17.0ms
x
16.0ms
(*.f64 x x)
14.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
14.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
13.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
92.9%2x
90.8%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
92.9%2(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
92.9%2(-.f64 #s(literal 1 binary64) (*.f64 x x))
92.9%2(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes77.0ms (0.7%)

Memory
-12.8MiB live, 146.8MiB allocated
Counts
62 → 1
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (/.f64 x (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (E.f64) (*.f64 x (*.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64)) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (* (E) (E))) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (* (E) (E))) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (/.f64 (*.f64 x x) (/.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (*.f64 (E.f64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 (E.f64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) x (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (+.f64 (neg.f64 (E.f64)) (*.f64 (neg.f64 (E.f64)) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))) (*.f64 (E.f64) (neg.f64 (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) (E.f64)) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) x) #s(literal 1 binary64))))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64))))
Calls

5 calls:

17.0ms
x
16.0ms
(*.f64 x x)
14.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
13.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
13.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Results
AccuracySegmentsBranch
90.8%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
90.8%1x
90.8%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
90.8%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
90.8%1(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes56.0ms (0.5%)

Memory
13.4MiB live, 94.4MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (/.f64 x (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (E.f64) (*.f64 x (*.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64)) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (* (E) (E))) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (* (E) (E))) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (/.f64 (*.f64 x x) (/.f64 (E.f64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
Calls

5 calls:

12.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
11.0ms
x
11.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
11.0ms
(*.f64 x x)
9.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
90.8%1x
90.8%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
90.8%1(*.f64 x x)
90.8%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
90.8%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes54.0ms (0.5%)

Memory
8.5MiB live, 84.2MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (/.f64 x (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (E.f64) (*.f64 x (*.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64)) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (* (E) (E))) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (* (E) (E))) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (E.f64)))
Calls

5 calls:

11.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
11.0ms
(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))
Results
AccuracySegmentsBranch
90.1%1x
90.1%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
90.1%1(*.f64 x x)
90.1%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
90.1%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes51.0ms (0.5%)

Memory
-7.7MiB live, 75.8MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (/.f64 x (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (E.f64) (*.f64 x (*.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64)) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* (* x (+ (* (* x x) (* x (+ (* x (* x 1/6)) 1/2))) x)) (E)) (E)) (* (E) (E))) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (E.f64)))))
Calls

5 calls:

12.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
11.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
9.0ms
x
9.0ms
(*.f64 x x)
8.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
Results
AccuracySegmentsBranch
90.8%2x
90.8%2(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
90.8%2(-.f64 #s(literal 1 binary64) (*.f64 x x))
90.8%2(*.f64 x x)
90.8%2(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes47.0ms (0.4%)

Memory
-1.2MiB live, 76.3MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (/.f64 x (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (E.f64) (*.f64 x (*.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64)) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 (*.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (E.f64))) x)))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64)))))
Calls

5 calls:

11.0ms
x
11.0ms
(*.f64 x x)
8.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
8.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
7.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
90.8%2(-.f64 #s(literal 1 binary64) (*.f64 x x))
90.8%2x
90.8%2(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
90.8%2(*.f64 x x)
90.8%2(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes41.0ms (0.4%)

Memory
-21.8MiB live, 60.0MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (/.f64 x (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (E.f64) (*.f64 x (*.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
Calls

5 calls:

10.0ms
x
10.0ms
(*.f64 x x)
7.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
6.0ms
(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
85.3%1x
85.3%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
85.3%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
85.3%1(*.f64 x x)
85.3%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes37.0ms (0.3%)

Memory
24.3MiB live, 62.7MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (/.f64 x (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (E.f64) (*.f64 x (*.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ (* x (+ (* x (* x (* x 1/2))) x)) 1) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 (E.f64) x))))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
Calls

5 calls:

9.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
7.0ms
x
7.0ms
(*.f64 x x)
6.0ms
(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
85.3%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
85.3%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
85.3%1x
85.3%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
85.3%1(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes31.0ms (0.3%)

Memory
-1.2MiB live, 81.6MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (/.f64 x (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 x (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)) x)) (E.f64))))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
Calls

5 calls:

7.0ms
(*.f64 x x)
7.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
6.0ms
x
5.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
5.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
85.2%2(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
85.2%2(-.f64 #s(literal 1 binary64) (*.f64 x x))
85.2%2x
85.2%2(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
85.2%2(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory
12.7MiB live, 52.3MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (/.f64 x (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (E.f64))))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64)))))))
Calls

5 calls:

5.0ms
(*.f64 x x)
5.0ms
x
4.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
4.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
85.2%2(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
85.2%2(-.f64 #s(literal 1 binary64) (*.f64 x x))
85.2%2x
85.2%2(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
85.2%2(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory
-5.1MiB live, 34.6MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
Calls

5 calls:

4.0ms
x
4.0ms
(*.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
74.4%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
74.4%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
74.4%1x
74.4%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
74.4%1(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
-17.1MiB live, 22.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (pow (E) (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 x (/.f64 (E.f64) x))))
Outputs
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
Calls

5 calls:

3.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms
x
2.0ms
(*.f64 x x)
2.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
2.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
74.4%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
74.4%1x
74.4%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
74.4%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
74.4%1(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x #s(approx (* (+ (* (* x x) 1/2) 1) (/ x (E))) (/.f64 x (E.f64))))))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64))))
Calls

5 calls:

2.0ms
x
2.0ms
(*.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
73.8%2(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
73.8%2x
73.8%2(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
73.8%2(-.f64 #s(literal 1 binary64) (*.f64 x x))
73.8%2(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
-28.8MiB live, 12.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

2.0ms
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
52.8%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
52.8%1x
52.8%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
52.8%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
52.8%1(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.767634259140047e-7
6.820732101892258
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.2551018382064615e+153
1.2540345395104274e+159
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.3678795061990784
337.2188418342048
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.3678795061990784
337.2188418342048
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.767634259140047e-7
6.820732101892258
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.767634259140047e-7
6.820732101892258
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.767634259140047e-7
6.820732101892258
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify68.0ms (0.7%)

Memory
13.8MiB live, 53.5MiB allocated
Algorithm
egg-herbie
Rules
574×distribute-lft-neg-in_binary64
310×neg-mul-1_binary64
300×neg-sub0_binary64
240×unsub-neg_binary64
218×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0136642
1175642
2186642
3204640
4257640
5406640
6651640
7892640
81117640
91290640
101427640
111549640
121653640
131715640
141734640
151737640
161737640
Stop Event
saturated
Calls
Call 1
Inputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (*.f64 x x) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))
(if (<=.f64 (*.f64 x x) #s(literal 3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64))))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (E.f64))))))
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (*.f64 x x) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64)))))))
(if (<=.f64 (*.f64 x x) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64))))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (*.f64 x x) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (*.f64 x x) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))
(if (<=.f64 (*.f64 x x) #s(literal 3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64))))))))
(if (<=.f64 (*.f64 x x) #s(literal 3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal -1 binary64)) (*.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64))))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x #s(approx (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (E.f64))))))
(if (<=.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* (* x x) 1/6) -1/2)) (* x (* x x))) x)) 1)) (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (E.f64))))))
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))))
(if (<=.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* (+ (* (* x x) 1/6) 1/2) (* x (* x x))) x)) 1)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (*.f64 x x) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x (E.f64)))))))
(if (<=.f64 (*.f64 x x) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x x) (E.f64))))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (*.f64 x x) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x x) 1)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

soundness1.6s (15.3%)

Memory
-24.0MiB live, 580.2MiB allocated
Rules
14 082×lower-fma.f64
14 082×lower-fma.f32
13 318×lower-fma.f64
13 318×lower-fma.f32
9 734×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059368
092342
1377273
23139267
08743251
01362228
14431961
211931876
325651798
460011786
082961596
01111482
13541406
29921336
324071302
447981292
568721292
080561137
030177
052169
1227143
21784143
08331139
030254
181241
2247237
3607234
41355234
52041234
63139234
75658234
08384211
0621
01021
13719
222719
3192319
0930416
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 574 to 237 computations (58.7% saved)

preprocess69.0ms (0.7%)

Memory
25.9MiB live, 64.3MiB allocated
Remove

(abs x)

Compiler

Compiled 694 to 178 computations (74.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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