exp neg sub

Time bar (total: 10.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample817.0ms (7.9%)

Memory
23.2MiB live, 1 502.3MiB allocated
Samples
559.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 395.0ms
ival-mult: 142.0ms (35.9% of total)
ival-sub: 116.0ms (29.4% of total)
ival-exp: 83.0ms (21% of total)
ival-neg: 41.0ms (10.4% of total)
ival-true: 6.0ms (1.5% of total)
exact: 5.0ms (1.3% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain95.0ms (0.9%)

Memory
-15.8MiB live, 201.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
00-0-#s(literal 1 binary64)
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
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f64(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))sensitivity10
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
26.0ms512×0valid
Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-exp: 4.0ms (28.7% of total)
ival-mult: 4.0ms (28.7% of total)
ival-sub: 2.0ms (14.3% of total)
ival-neg: 2.0ms (14.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess244.0ms (2.4%)

Memory
9.9MiB live, 358.9MiB 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)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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
99.9%
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify538.0ms (5.2%)

Memory
14.1MiB live, 336.7MiB 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

localize21.0ms (0.2%)

Memory
20.0MiB live, 58.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy0.03223697434550878
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Samples
14.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 3.0ms (36.8% of total)
ival-mult: 2.0ms (24.5% of total)
ival-sub: 1.0ms (12.3% of total)
ival-neg: 1.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-29.5MiB live, 5.1MiB 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
@0
(* x x)
0.0ms
x
@inf
(* x x)

simplify188.0ms (1.8%)

Memory
17.1MiB live, 297.4MiB 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 x (*.f64 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)

rewrite284.0ms (2.7%)

Memory
-39.1MiB live, 336.0MiB allocated
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)

eval168.0ms (1.6%)

Memory
-6.9MiB live, 115.7MiB allocated
Compiler

Compiled 16 958 to 1 786 computations (89.5% saved)

prune249.0ms (2.4%)

Memory
-21.3MiB live, 134.0MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New5408548
Fresh000
Picked101
Done000
Total5418549
Accuracy
100.0%
Counts
549 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.3%
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
77.3%
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))
99.9%
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
63.1%
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
45.3%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
89.5%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.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))))
86.4%
#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))))
68.5%
#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 236 to 138 computations (41.5% saved)

simplify482.0ms (4.7%)

Memory
19.7MiB live, 176.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
cost-diff0
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))
cost-diff320
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (neg (- 1 (* x x))) (*.f64 x x))
cost-diff0
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
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 #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
5 770×lower-fma.f32
5 762×lower-fma.f64
2 856×lower-*.f32
2 840×lower-*.f64
1 580×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032242
055224
1115192
2241192
3540192
41241192
53083192
64998192
75945192
87081192
08118188
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 (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)
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
#s(approx (neg (- 1 (* x x))) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))
(exp.f64 (*.f64 #s(literal -1 binary64) (/.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))))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 x x #s(literal 1 binary64))
x
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (E.f64))
(E.f64)
(neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (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 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x 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 (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)
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
#s(approx (neg (- 1 (* x x))) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (exp.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 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(exp.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) (fma.f64 x x #s(literal 1 binary64)))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 x x #s(literal 1 binary64))
x
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (E.f64))
(E.f64)
(neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (*.f64 x x))
(*.f64 x x)

localize235.0ms (2.3%)

Memory
-3.3MiB live, 124.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(*.f64 x (*.f64 x (*.f64 x x)))
accuracy0.1015625
(*.f64 x (*.f64 x x))
accuracy0.4307349937404852
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
accuracy23.006388127252496
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))
accuracy0
(*.f64 x x)
accuracy0.03223697434550878
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
accuracy27.882514576701666
#s(approx (neg (- 1 (* x x))) (*.f64 x x))
accuracy0.015625
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
accuracy0.05078125
(*.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)))
accuracy0.0625
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
accuracy8.674634042395336
#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))))
accuracy0
(/.f64 #s(literal 1 binary64) (E.f64))
accuracy0
(E.f64)
accuracy35.00079920133403
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
accuracy0
(fma.f64 x x #s(literal -1 binary64))
accuracy0.03223697434550878
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
Samples
83.0ms256×0valid
Compiler

Compiled 232 to 31 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-add: 31.0ms (46.6% of total)
ival-mult: 14.0ms (21% of total)
ival-exp: 6.0ms (9% of total)
ival-div: 5.0ms (7.5% of total)
ival-pow: 5.0ms (7.5% of total)
ival-e: 2.0ms (3% of total)
ival-neg: 2.0ms (3% of total)
ival-sub: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
19 → 204
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 (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 (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))>
#<alt #s(approx (neg (- 1 (* x x))) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))>
#<alt (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)>
#<alt (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))>
#<alt (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x (*.f64 x (*.f64 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 (+ (* (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 (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 (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>
#<alt (- (pow x 2) 1)>
#<alt (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)>
#<alt (- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 (pow x 2)) 1) (pow x 2))>
#<alt (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 (pow x 2)) 1) (pow x 2))>
#<alt (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))>
#<alt (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))>
#<alt (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))>
#<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) (+ (* -1/2 (exp -1)) (* 1/6 (* (pow x 2) (exp -1))))))))>
#<alt 1>
#<alt (- 1 (/ 1 (pow x 2)))>
#<alt (- (+ 1 (/ 3/2 (pow x 4))) (/ 1 (pow x 2)))>
#<alt (- (+ 1 (/ 3/2 (pow x 4))) (+ (/ 1 (pow x 2)) (* 13/6 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (- 1 (/ 1 (pow x 2)))>
#<alt (- (+ 1 (/ 3/2 (pow x 4))) (/ 1 (pow x 2)))>
#<alt (- (+ 1 (/ 3/2 (pow x 4))) (+ (/ 1 (pow x 2)) (* 13/6 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (pow x 2) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))>
#<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>
#<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 (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* -1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (- (pow x 2) 1))))>
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (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 4))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))))>
#<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 (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)>
Calls

51 calls:

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

simplify353.0ms (3.4%)

Memory
26.5MiB live, 484.0MiB allocated
Algorithm
egg-herbie
Rules
18 804×lower-fma.f64
18 804×lower-fma.f32
4 264×lower-*.f64
4 264×lower-*.f32
3 650×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01502039
14571870
213661769
346281715
085201567
Stop Event
iter limit
node limit
Counts
204 → 203
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)))
(+ (* (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))
(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))))
(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
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1)
(/ -1 (pow x 2))
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(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) (+ (* -1/2 (exp -1)) (* 1/6 (* (pow x 2) (exp -1))))))))
1
(- 1 (/ 1 (pow x 2)))
(- (+ 1 (/ 3/2 (pow x 4))) (/ 1 (pow x 2)))
(- (+ 1 (/ 3/2 (pow x 4))) (+ (/ 1 (pow x 2)) (* 13/6 (/ 1 (pow x 6)))))
1
(- 1 (/ 1 (pow x 2)))
(- (+ 1 (/ 3/2 (pow x 4))) (/ 1 (pow x 2)))
(- (+ 1 (/ 3/2 (pow x 4))) (+ (/ 1 (pow x 2)) (* 13/6 (/ 1 (pow x 6)))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (pow x 2) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
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
(+ 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)))))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))))
(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)
(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)
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 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)))))))
(fma.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)) (/.f64 #s(literal 1 binary64) (E.f64)))
(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)
(- (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 (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)))))))
(fma.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)) (/.f64 #s(literal 1 binary64) (E.f64)))
(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 (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) (+ (* 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)))
(* 1/2 (/ (pow x 4) (E)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 x x) (E.f64)) x)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(*.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x x) (E.f64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 x x) (E.f64)) x)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(*.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x x) (E.f64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.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 (/.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)))))))
(fma.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)) (/.f64 #s(literal 1 binary64) (E.f64)))
(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)))
(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)))))))
(fma.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)) (/.f64 #s(literal 1 binary64) (E.f64)))
(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)
(- (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))
(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)
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)
(fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(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) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (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 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))
(fma.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)) (/.f64 #s(literal 1 binary64) (E.f64)))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(-.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(fma.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(fma.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -13/6 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(-.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(fma.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(fma.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -13/6 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (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 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1/2 (exp -1)) (* 1/6 (* (pow x 2) (exp -1))))))))
(fma.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 x x) (E.f64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
1
#s(literal 1 binary64)
(- 1 (/ 1 (pow x 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- (+ 1 (/ 3/2 (pow x 4))) (/ 1 (pow x 2)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(- (+ 1 (/ 3/2 (pow x 4))) (+ (/ 1 (pow x 2)) (* 13/6 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -13/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
1
#s(literal 1 binary64)
(- 1 (/ 1 (pow x 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- (+ 1 (/ 3/2 (pow x 4))) (/ 1 (pow x 2)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(- (+ 1 (/ 3/2 (pow x 4))) (+ (/ 1 (pow x 2)) (* 13/6 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -13/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (pow x 2) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
x
(* x (+ 1 (* 1/2 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(* x (+ 1 (* 1/2 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(* x (+ 1 (* 1/2 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(* 1/2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(* 1/2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(* 1/2 (pow x 4))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(* 1/2 (pow x 4))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (* -1 (pow x 2))))
(*.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (*.f64 x x)) x)))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(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 4))) (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))))
(*.f64 x (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) x))
(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 4))) (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))))
(*.f64 x (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.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)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))

rewrite360.0ms (3.5%)

Memory
22.0MiB live, 639.9MiB allocated
Rules
6 138×lower-fma.f32
6 130×lower-fma.f64
3 916×lower-*.f32
3 900×lower-*.f64
3 408×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032179
055147
1206125
21343125
08528121
Stop Event
iter limit
node limit
iter limit
Counts
19 → 863
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 (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))))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
#s(approx (neg (- 1 (* x x))) (*.f64 x x))
(*.f64 x x)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 x (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 x x)))
Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(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 #s(literal 1 binary64) (/.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x)))) (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (*.f64 x (neg.f64 x))))
(/.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.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 (exp.f64 (*.f64 x x)) (E.f64))
(/.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 (exp.f64 (+.f64 x #s(literal 1 binary64))) x) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x))))))
(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 (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(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))))
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (*.f64 x x) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (neg.f64 x) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) x)
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))
(*.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 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 -1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (neg.f64 x)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 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)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
(neg.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (neg.f64 x)) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (neg.f64 x)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 (*.f64 x (*.f64 x x))))
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (neg.f64 x))
(*.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) x)
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 x (*.f64 x x)))

eval198.0ms (1.9%)

Memory
-1.8MiB live, 559.2MiB allocated
Compiler

Compiled 34 160 to 2 997 computations (91.2% saved)

prune210.0ms (2%)

Memory
-37.1MiB live, 413.7MiB allocated
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New1 253121 265
Fresh213
Picked235
Done000
Total1 257161 273
Accuracy
100.0%
Counts
1 273 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
99.9%
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
99.9%
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
63.1%
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
68.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
86.4%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
86.4%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
51.6%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) #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))))
86.4%
#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)))
86.4%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))))
45.3%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
86.4%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
89.5%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.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))))
86.4%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
44.2%
#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 (*.f64 x x) (E.f64)) x)))))
Compiler

Compiled 465 to 253 computations (45.6% saved)

simplify212.0ms (2.1%)

Memory
21.8MiB live, 323.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) (E.f64))
cost-diff0
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
cost-diff384
(fma.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)) (/.f64 #s(literal 1 binary64) (E.f64)))
cost-diff0
(E.f64)
cost-diff0
(/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.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 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
cost-diff0
(E.f64)
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
cost-diff0
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
cost-diff0
(+.f64 x #s(literal -1 binary64))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(exp.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff6464
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
Rules
13 190×lower-fma.f32
13 176×lower-fma.f64
4 156×lower-*.f32
4 144×lower-*.f64
1 522×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049327
083319
1176290
2392290
3935290
41803288
54971286
08204272
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))
x
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))
(E.f64)
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64))
x
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.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)) (/.f64 #s(literal 1 binary64) (E.f64)))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x 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))
(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)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (E.f64))
Outputs
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (E.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.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 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x x) x)
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (E.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (E.f64))
#s(literal 1 binary64)
(/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))
(/.f64 (E.f64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(E.f64)
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x x) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (*.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))))
(fma.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)) (/.f64 #s(literal 1 binary64) (E.f64)))
(*.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)))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x 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))
(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)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (E.f64))

localize173.0ms (1.7%)

Memory
7.4MiB live, 339.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.06640625
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy0.185878759768442
(/.f64 (*.f64 x x) (E.f64))
accuracy0.34375
(*.f64 x #s(literal 1/6 binary64))
accuracy6.6949028683844665
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
accuracy0.046875
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64))))
accuracy0.0625
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
accuracy0.3044280795751818
(/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))
accuracy8.674634042395336
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))))
accuracy0.015625
(fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))
accuracy0.05078125
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
accuracy0.0625
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
accuracy8.674634042395336
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
accuracy0
(fma.f64 x x #s(literal 1 binary64))
accuracy0
(E.f64)
accuracy0.131191259768442
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
accuracy20.166113611712216
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0
(+.f64 x #s(literal -1 binary64))
accuracy0.015625
(exp.f64 (+.f64 x #s(literal 1 binary64)))
accuracy0.0234375
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
Samples
120.0ms256×0valid
Compiler

Compiled 294 to 50 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-add: 25.0ms (28.8% of total)
ival-mult: 24.0ms (27.7% of total)
ival-pow: 11.0ms (12.7% of total)
ival-div: 10.0ms (11.5% of total)
ival-exp: 7.0ms (8.1% of total)
const: 4.0ms (4.6% of total)
ival-e: 2.0ms (2.3% of total)
ival-neg: 2.0ms (2.3% of total)
ival-sub: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
-17.5MiB live, 21.2MiB allocated
Counts
23 → 252
Calls
Call 1
Inputs
#<alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))>
#<alt (exp.f64 (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))>
#<alt (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))>
#<alt (fma.f64 x x #s(literal 1 binary64))>
#<alt (E.f64)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 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 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (E.f64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64))))>
#<alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))))>
#<alt (/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))>
#<alt (fma.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)) (/.f64 #s(literal 1 binary64) (E.f64)))>
#<alt #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.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)) (/.f64 #s(literal 1 binary64) (E.f64))))>
#<alt (/.f64 (*.f64 x x) (E.f64))>
#<alt (*.f64 x x)>
#<alt (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)>
#<alt (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))>
#<alt (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))>
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 (* (+ 1 x) (- x 1)))>
#<alt (exp (* (+ 1 x) (- x 1)))>
#<alt (exp (* (+ 1 x) (- x 1)))>
#<alt (exp (* (+ 1 x) (- x 1)))>
#<alt (exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))>
#<alt (exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))>
#<alt (exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))>
#<alt (exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))>
#<alt (exp 1)>
#<alt (+ (exp 1) (* x (exp 1)))>
#<alt (+ (exp 1) (* x (+ (exp 1) (* 1/2 (* x (exp 1))))))>
#<alt (+ (exp 1) (* x (+ (exp 1) (* x (+ (* 1/6 (* x (exp 1))) (* 1/2 (exp 1)))))))>
#<alt (exp (+ 1 x))>
#<alt (exp (+ 1 x))>
#<alt (exp (+ 1 x))>
#<alt (exp (+ 1 x))>
#<alt (exp (- 1 (* -1 x)))>
#<alt (exp (- 1 (* -1 x)))>
#<alt (exp (- 1 (* -1 x)))>
#<alt (exp (- 1 (* -1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))>
#<alt (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))>
#<alt (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))>
#<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 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 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 (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 (/ 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) (+ (* 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 (E)>
#<alt (+ (E) (* -1 (* (pow x 2) (E))))>
#<alt (+ (E) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (E)) (* 1/2 (E))))) (E))))>
#<alt (+ (E) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (+ (* -1 (E)) (* 1/2 (E)))) (* -1/2 (E))))) (+ (* -1 (E)) (* 1/2 (E))))) (E))))>
#<alt (* 2 (/ (E) (pow x 4)))>
#<alt (/ (+ (* -4 (/ (E) (pow x 2))) (* 2 (E))) (pow x 4))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (E)) (* 4 (E))) (pow x 4))) (* 2 (E))) (* 4 (/ (E) (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (E)) (* -2 (+ (* -8 (E)) (* 4 (E))))) (pow x 6))) (* 2 (E))) (+ (* -8 (/ (E) (pow x 4))) (+ (* 4 (/ (E) (pow x 2))) (* 4 (/ (E) (pow x 4)))))) (pow x 4))>
#<alt (* 2 (/ (E) (pow x 4)))>
#<alt (/ (+ (* -4 (/ (E) (pow x 2))) (* 2 (E))) (pow x 4))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (E)) (* 4 (E))) (pow x 4))) (* 2 (E))) (* 4 (/ (E) (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (E)) (* -2 (+ (* -8 (E)) (* 4 (E))))) (pow x 6))) (* 2 (E))) (+ (* -8 (/ (E) (pow x 4))) (+ (* 4 (/ (E) (pow x 2))) (* 4 (/ (E) (pow x 4)))))) (pow x 4))>
#<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) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))>
#<alt (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))>
#<alt (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))>
#<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 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>
#<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 (* 1/6 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)>
#<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)))))>
Calls

63 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ (+ (* x x) 1) (E))
1.0ms
x
@0
(pow (exp (+ x 1)) (+ x -1))
1.0ms
x
@0
(exp (+ x 1))
1.0ms
x
@inf
(/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))
0.0ms
x
@inf
(+ (* (/ (* x x) (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/ 1 (E)))

simplify300.0ms (2.9%)

Memory
28.0MiB live, 299.5MiB allocated
Algorithm
egg-herbie
Rules
12 190×lower-fma.f64
12 190×lower-fma.f32
3 242×lower-*.f64
3 242×lower-*.f32
2 582×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02182756
17102467
220542255
367892251
085132035
Stop Event
iter limit
node limit
Counts
252 → 246
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 (* (+ 1 x) (- x 1)))
(exp (* (+ 1 x) (- x 1)))
(exp (* (+ 1 x) (- x 1)))
(exp (* (+ 1 x) (- x 1)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp 1)
(+ (exp 1) (* x (exp 1)))
(+ (exp 1) (* x (+ (exp 1) (* 1/2 (* x (exp 1))))))
(+ (exp 1) (* x (+ (exp 1) (* x (+ (* 1/6 (* x (exp 1))) (* 1/2 (exp 1)))))))
(exp (+ 1 x))
(exp (+ 1 x))
(exp (+ 1 x))
(exp (+ 1 x))
(exp (- 1 (* -1 x)))
(exp (- 1 (* -1 x)))
(exp (- 1 (* -1 x)))
(exp (- 1 (* -1 x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(/ 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)))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 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))))
(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))))
(/ 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) (+ (* 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))
(E)
(+ (E) (* -1 (* (pow x 2) (E))))
(+ (E) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (E)) (* 1/2 (E))))) (E))))
(+ (E) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (+ (* -1 (E)) (* 1/2 (E)))) (* -1/2 (E))))) (+ (* -1 (E)) (* 1/2 (E))))) (E))))
(* 2 (/ (E) (pow x 4)))
(/ (+ (* -4 (/ (E) (pow x 2))) (* 2 (E))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -8 (E)) (* 4 (E))) (pow x 4))) (* 2 (E))) (* 4 (/ (E) (pow x 2)))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -8 (E)) (* -2 (+ (* -8 (E)) (* 4 (E))))) (pow x 6))) (* 2 (E))) (+ (* -8 (/ (E) (pow x 4))) (+ (* 4 (/ (E) (pow x 2))) (* 4 (/ (E) (pow x 4)))))) (pow x 4))
(* 2 (/ (E) (pow x 4)))
(/ (+ (* -4 (/ (E) (pow x 2))) (* 2 (E))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -8 (E)) (* 4 (E))) (pow x 4))) (* 2 (E))) (* 4 (/ (E) (pow x 2)))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -8 (E)) (* -2 (+ (* -8 (E)) (* 4 (E))))) (pow x 6))) (* 2 (E))) (+ (* -8 (/ (E) (pow x 4))) (+ (* 4 (/ (E) (pow x 2))) (* 4 (/ (E) (pow x 4)))))) (pow x 4))
(/ 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) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(/ (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)
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
(+ 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))))
(* 1/6 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)
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)))))
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 (*.f64 x 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)))))))
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(exp (* (+ 1 x) (- x 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* (+ 1 x) (- x 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* (+ 1 x) (- x 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* (+ 1 x) (- x 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp 1)
(E.f64)
(+ (exp 1) (* x (exp 1)))
(fma.f64 x (E.f64) (E.f64))
(+ (exp 1) (* x (+ (exp 1) (* 1/2 (* x (exp 1))))))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (E.f64)) (E.f64)) (E.f64))
(+ (exp 1) (* x (+ (exp 1) (* x (+ (* 1/6 (* x (exp 1))) (* 1/2 (exp 1)))))))
(fma.f64 x (fma.f64 (*.f64 x (E.f64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)) (E.f64))
(exp (+ 1 x))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (+ 1 x))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (+ 1 x))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (+ 1 x))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (- 1 (* -1 x)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (- 1 (* -1 x)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (- 1 (* -1 x)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (- 1 (* -1 x)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
x
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(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) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(-.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(-.f64 (fma.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(-.f64 (fma.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -13/6 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(-.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(-.f64 (fma.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(-.f64 (fma.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -13/6 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(/ 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))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/.f64 (fma.f64 x x #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) (E))
(/.f64 (*.f64 x x) (E.f64))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 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))
(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))
(/ 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 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(+ (* (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 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #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))))))
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(+ (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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(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(* 1/2 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(* 1/2 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (pow x 2))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* 1/2 (pow x 2))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* 1/2 (pow x 2))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 3))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 3))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x)
(* 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))
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 x (*.f64 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 x (*.f64 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))

rewrite330.0ms (3.2%)

Memory
-16.3MiB live, 378.2MiB allocated
Rules
5 630×lower-fma.f32
5 616×lower-fma.f64
5 514×lower-*.f32
5 502×lower-*.f64
3 020×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049267
083259
1362222
22878202
08866193
Stop Event
iter limit
node limit
iter limit
Counts
23 → 956
Calls
Call 1
Inputs
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
(E.f64)
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (E.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))))
(/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))
(fma.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)) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(*.f64 x #s(literal 1/6 binary64))
(fma.f64 x (*.f64 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 (+.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (exp.f64 (*.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 x x)) (E.f64))
(/.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (exp.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (E.f64)))
(*.f64 (exp.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))) (exp.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (exp.f64 #s(literal 2/3 binary64))) (+.f64 x #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (sqrt.f64 (E.f64))) (+.f64 x #s(literal -1 binary64))) (pow.f64 (sqrt.f64 (E.f64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (E.f64) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 x) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (exp.f64 x) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (E.f64) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (E.f64) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (exp.f64 #s(literal 2/3 binary64))) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (sqrt.f64 (E.f64))) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (exp.f64 #s(literal 2/3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (sqrt.f64 (E.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 (*.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (exp.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (E.f64)))
(/.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(pow.f64 (exp.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (E.f64) (exp.f64 x))
(*.f64 (exp.f64 x) (E.f64))
(*.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) (E.f64))
(*.f64 (*.f64 (exp.f64 x) (exp.f64 #s(literal 2/3 binary64))) (exp.f64 #s(literal 1/3 binary64)))
(*.f64 (*.f64 (exp.f64 x) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)))
(log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (log.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (log.f64 (*.f64 (exp.f64 x) (exp.f64 #s(literal 2/3 binary64)))) #s(literal 1/3 binary64))
(+.f64 (log.f64 (*.f64 (exp.f64 x) (sqrt.f64 (E.f64)))) #s(literal 1/2 binary64))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
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(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64)) x) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) (fma.f64 x (-.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64)) x))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64)) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))) (-.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64) #s(literal -1 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64)) x) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64)) x)))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.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 #s(literal 1/4 binary64) (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))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.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)))) (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 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 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)) (fma.f64 (*.f64 x (*.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 (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 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 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)))
(/.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 (fma.f64 (*.f64 x (*.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 (fma.f64 (*.f64 x (*.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 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 (fma.f64 (*.f64 x (*.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)))) (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 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 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) (fma.f64 (*.f64 x (*.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 (fma.f64 (*.f64 x (*.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))))

eval189.0ms (1.8%)

Memory
35.9MiB live, 340.4MiB allocated
Compiler

Compiled 47 287 to 3 024 computations (93.6% saved)

prune253.0ms (2.4%)

Memory
-31.1MiB live, 333.2MiB allocated
Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New1 404261 430
Fresh448
Picked325
Done033
Total1 411351 446
Accuracy
100.0%
Counts
1 446 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
100.0%
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
99.9%
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
98.2%
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
100.0%
(*.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
99.9%
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
63.1%
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
66.9%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (E.f64))))
66.9%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (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)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
66.9%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.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)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.f64 (/.f64 x (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 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))) (/.f64 #s(literal 1 binary64) (E.f64))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 (*.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))) (sqrt.f64 (E.f64))) (E.f64) (sqrt.f64 (E.f64))) (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (E.f64) (*.f64 (sqrt.f64 (E.f64)) (*.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))))) (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.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))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
86.4%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
68.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
26.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
68.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
86.4%
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
51.6%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) #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))))
86.1%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* x (* 1/2 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
45.3%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
44.2%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (/.f64 (*.f64 #s(literal 2 binary64) (E.f64)) (*.f64 (*.f64 x x) (*.f64 x x))))))
44.6%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 x (*.f64 x (E.f64)))))))
86.4%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
89.5%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.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))))
44.5%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
44.2%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)))))
44.2%
#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 (*.f64 x x) (E.f64)) x)))))
Compiler

Compiled 1 250 to 687 computations (45% saved)

simplify445.0ms (4.3%)

Memory
-58.0MiB live, 279.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) (E.f64))
cost-diff0
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (E.f64))))
cost-diff64
(fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (E.f64)))
cost-diff0
(/.f64 x (E.f64))
cost-diff0
(*.f64 (/.f64 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)))
cost-diff0
(fma.f64 x (*.f64 (/.f64 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))) (/.f64 #s(literal 1 binary64) (E.f64)))
cost-diff0
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 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))) (/.f64 #s(literal 1 binary64) (E.f64))))
cost-diff0
(E.f64)
cost-diff0
(/.f64 #s(literal 1 binary64) (E.f64))
cost-diff0
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (* x x) 1) (*.f64 x x))
cost-diff0
(/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))
cost-diff0
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
cost-diff0
(exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
cost-diff0
(pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
cost-diff128
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
cost-diff192
(+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
Rules
5 656×lower-fma.f32
5 638×lower-fma.f64
3 872×lower-*.f32
3 856×lower-*.f64
2 164×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057477
095445
1205412
2534406
31403406
42912406
57055406
08276381
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
(/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))
#s(approx (+ (* x x) 1) (*.f64 x x))
(*.f64 x x)
x
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 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))) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 x (*.f64 (/.f64 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))) (/.f64 #s(literal 1 binary64) (E.f64)))
x
(*.f64 (/.f64 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)))
(/.f64 x (E.f64))
(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))
(*.f64 x x)
(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)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (E.f64))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (E.f64)))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
x
(E.f64)
(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))
(/.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))
#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 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (E.f64))
Outputs
(pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (+.f64 x (+.f64 x #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(exp.f64 (+.f64 x (+.f64 x #s(literal 2 binary64))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x (+.f64 x #s(literal 2 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
(/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))
#s(approx (+ (* x x) 1) (*.f64 x x))
(*.f64 x x)
x
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x 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)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #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))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 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))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (/.f64 (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)) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 x (*.f64 (/.f64 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))) (/.f64 #s(literal 1 binary64) (E.f64)))
(fma.f64 x (/.f64 (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)) (/.f64 #s(literal 1 binary64) (E.f64)))
x
(*.f64 (/.f64 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)))
(/.f64 (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))
(/.f64 x (E.f64))
(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))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x x)
(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)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (E.f64))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (/.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) (*.f64 (E.f64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
(fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (E.f64)))
(fma.f64 x (/.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) (*.f64 (E.f64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
x
(E.f64)
(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))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 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))
(/.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)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 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))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(*.f64 x (*.f64 x (*.f64 x 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))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (E.f64))

localize220.0ms (2.1%)

Memory
21.8MiB live, 312.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.185878759768442
(/.f64 (*.f64 x x) (E.f64))
accuracy0.34375
(*.f64 x #s(literal 1/6 binary64))
accuracy6.6949028683844665
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (E.f64))))
accuracy22.983347796138986
(/.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)))
accuracy0.06640625
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy0.33984375
(/.f64 x (E.f64))
accuracy0.34375
(*.f64 x #s(literal 1/6 binary64))
accuracy6.6949028683844665
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 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))) (/.f64 #s(literal 1 binary64) (E.f64))))
accuracy0
(E.f64)
accuracy0.05078125
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.09603500976844201
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy8.674634042395336
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy0
(E.f64)
accuracy0.131191259768442
(/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))
accuracy20.166113611712216
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
accuracy27.440206764915967
#s(approx (+ (* x x) 1) (*.f64 x x))
accuracy0
(+.f64 x #s(literal -1 binary64))
accuracy0
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
accuracy0.01953125
(exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
accuracy0.025722509768442016
(pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
Samples
140.0ms256×0valid
Compiler

Compiled 414 to 57 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-mult: 32.0ms (27.3% of total)
const: 26.0ms (22.2% of total)
ival-add: 25.0ms (21.3% of total)
ival-pow: 11.0ms (9.4% of total)
ival-div: 10.0ms (8.5% of total)
ival-exp: 7.0ms (6% of total)
ival-e: 2.0ms (1.7% of total)
ival-neg: 2.0ms (1.7% of total)
ival-sub: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-6.0MiB live, 30.1MiB allocated
Counts
24 → 264
Calls
Call 1
Inputs
#<alt (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))>
#<alt (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))>
#<alt (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))>
#<alt (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))>
#<alt #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))>
#<alt (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))>
#<alt #s(approx (+ (* x x) 1) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.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 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (E.f64))>
#<alt (E.f64)>
#<alt #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 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))) (/.f64 #s(literal 1 binary64) (E.f64))))>
#<alt (fma.f64 x (*.f64 (/.f64 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))) (/.f64 #s(literal 1 binary64) (E.f64)))>
#<alt (*.f64 (/.f64 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)))>
#<alt (/.f64 x (E.f64))>
#<alt (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (E.f64)))>
#<alt #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (E.f64))))>
#<alt (/.f64 (*.f64 x x) (E.f64))>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))>
#<alt (/.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)))>
Outputs
#<alt 2>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt -1/2>
#<alt (- (* 1/2 x) 1/2)>
#<alt (- (* 1/2 x) 1/2)>
#<alt (- (* 1/2 x) 1/2)>
#<alt (* 1/2 x)>
#<alt (* x (- 1/2 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/2 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/2 (* 1/2 (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))>
#<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 (* 1/2 (* (+ 2 (* 2 x)) (- x 1))))>
#<alt (exp (* 1/2 (* (+ 2 (* 2 x)) (- x 1))))>
#<alt (exp (* 1/2 (* (+ 2 (* 2 x)) (- x 1))))>
#<alt (exp (* 1/2 (* (+ 2 (* 2 x)) (- x 1))))>
#<alt (exp (* -1/2 (* (+ 1 (* -1 x)) (- 2 (* -2 x)))))>
#<alt (exp (* -1/2 (* (+ 1 (* -1 x)) (- 2 (* -2 x)))))>
#<alt (exp (* -1/2 (* (+ 1 (* -1 x)) (- 2 (* -2 x)))))>
#<alt (exp (* -1/2 (* (+ 1 (* -1 x)) (- 2 (* -2 x)))))>
#<alt (exp 2)>
#<alt (+ (exp 2) (* 2 (* x (exp 2))))>
#<alt (+ (exp 2) (* x (+ (* 2 (exp 2)) (* 2 (* x (exp 2))))))>
#<alt (+ (exp 2) (* x (+ (* 2 (exp 2)) (* x (+ (* 4/3 (* x (exp 2))) (* 2 (exp 2)))))))>
#<alt (exp (+ 2 (* 2 x)))>
#<alt (exp (+ 2 (* 2 x)))>
#<alt (exp (+ 2 (* 2 x)))>
#<alt (exp (+ 2 (* 2 x)))>
#<alt (exp (- 2 (* -2 x)))>
#<alt (exp (- 2 (* -2 x)))>
#<alt (exp (- 2 (* -2 x)))>
#<alt (exp (- 2 (* -2 x)))>
#<alt (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))>
#<alt (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))>
#<alt (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))>
#<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 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 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 (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)>
#<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) (+ (* 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 (exp -1)>
#<alt (+ (exp -1) (* (pow x 2) (exp -1)))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))>
#<alt (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))>
#<alt (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))>
#<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 (/ x (E))>
#<alt (* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))>
#<alt (* x (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E))))>
#<alt (* x (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E))))>
#<alt (* 1/6 (/ (pow x 5) (E)))>
#<alt (* (pow x 5) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))>
#<alt (* (pow x 5) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* (pow x 5) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))>
#<alt (* 1/6 (/ (pow x 5) (E)))>
#<alt (* (pow x 5) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))) (pow x 2))) (* 1/6 (/ 1 (E))))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))) (pow x 2))) (* 1/6 (/ 1 (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 (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) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))>
#<alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))>
#<alt (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))>
#<alt (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))>
#<alt (+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))>
#<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 -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 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 (* 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)>
#<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 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)))))>
Calls

66 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(pow (exp (+ (+ x 1) (+ x 1))) (* (+ x -1) 1/2))
2.0ms
x
@0
(* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1))
1.0ms
x
@0
(pow (exp (+ (+ x 1) (+ x 1))) (* (+ x -1) 1/2))
1.0ms
x
@inf
(+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E)))
0.0ms
x
@-inf
(/ x (E))

simplify269.0ms (2.6%)

Memory
2.4MiB live, 366.1MiB allocated
Algorithm
egg-herbie
Rules
17 368×lower-fma.f64
17 368×lower-fma.f32
4 940×lower-*.f64
4 940×lower-*.f32
1 656×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01913189
16002929
218212602
357112586
082662349
Stop Event
iter limit
node limit
Counts
264 → 262
Calls
Call 1
Inputs
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
-1/2
(- (* 1/2 x) 1/2)
(- (* 1/2 x) 1/2)
(- (* 1/2 x) 1/2)
(* 1/2 x)
(* x (- 1/2 (* 1/2 (/ 1 x))))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(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 (* 1/2 (* (+ 2 (* 2 x)) (- x 1))))
(exp (* 1/2 (* (+ 2 (* 2 x)) (- x 1))))
(exp (* 1/2 (* (+ 2 (* 2 x)) (- x 1))))
(exp (* 1/2 (* (+ 2 (* 2 x)) (- x 1))))
(exp (* -1/2 (* (+ 1 (* -1 x)) (- 2 (* -2 x)))))
(exp (* -1/2 (* (+ 1 (* -1 x)) (- 2 (* -2 x)))))
(exp (* -1/2 (* (+ 1 (* -1 x)) (- 2 (* -2 x)))))
(exp (* -1/2 (* (+ 1 (* -1 x)) (- 2 (* -2 x)))))
(exp 2)
(+ (exp 2) (* 2 (* x (exp 2))))
(+ (exp 2) (* x (+ (* 2 (exp 2)) (* 2 (* x (exp 2))))))
(+ (exp 2) (* x (+ (* 2 (exp 2)) (* x (+ (* 4/3 (* x (exp 2))) (* 2 (exp 2)))))))
(exp (+ 2 (* 2 x)))
(exp (+ 2 (* 2 x)))
(exp (+ 2 (* 2 x)))
(exp (+ 2 (* 2 x)))
(exp (- 2 (* -2 x)))
(exp (- 2 (* -2 x)))
(exp (- 2 (* -2 x)))
(exp (- 2 (* -2 x)))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(/ 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)))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 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))))
(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)
(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) (+ (* 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))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (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)))))))
(/ x (E))
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* x (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E))))
(* x (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E))))
(* 1/6 (/ (pow x 5) (E)))
(* (pow x 5) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 5) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 5) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* 1/6 (/ (pow x 5) (E)))
(* (pow x 5) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))) (pow x 2))) (* 1/6 (/ 1 (E))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))) (pow x 2))) (* 1/6 (/ 1 (E))))))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (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) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(/ (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))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 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)))))
(* 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)
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)))))
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)))))
Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
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(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(-.f64 (fma.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -13/6 binary64) (/.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) x)) (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow x 4))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(* 1/2 (pow x 4))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x 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 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x 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 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x 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 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x 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 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))

rewrite325.0ms (3.1%)

Memory
35.2MiB live, 370.0MiB allocated
Rules
6 482×lower-*.f32
6 466×lower-*.f64
3 698×lower-/.f32
3 688×lower-/.f64
3 576×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057365
095314
1420276
23701238
010679233
Stop Event
iter limit
node limit
iter limit
Counts
24 → 665
Calls
Call 1
Inputs
(+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
(/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))
#s(approx (+ (* x x) 1) (*.f64 x x))
(*.f64 x x)
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (E.f64))
(E.f64)
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 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))) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 x (*.f64 (/.f64 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))) (/.f64 #s(literal 1 binary64) (E.f64)))
(*.f64 (/.f64 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)))
(/.f64 x (E.f64))
(fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (E.f64))))
(/.f64 (*.f64 x x) (E.f64))
(+.f64 x #s(literal -1 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x #s(literal 1/6 binary64))
(fma.f64 x (*.f64 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)))
Outputs
(log.f64 (exp.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x))))
(+.f64 x (+.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(+.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 2 binary64) x) x)
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (log.f64 (exp.f64 x)) (log.f64 (exp.f64 (+.f64 #s(literal 2 binary64) x))))
(+.f64 (log.f64 (exp.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) x (+.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (+.f64 x (+.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (+.f64 x (+.f64 #s(literal 2 binary64) x))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (+.f64 x (+.f64 #s(literal 2 binary64) x)))) (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)))) (fma.f64 x x (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) (*.f64 x (+.f64 #s(literal 2 binary64) x)))))
(/.f64 (fma.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (fma.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x))) (-.f64 x (+.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64))
(pow.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (+.f64 x (+.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) (log.f64 (*.f64 (E.f64) (E.f64))))
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (+.f64 x (+.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
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(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (*.f64 (fma.f64 (*.f64 x 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 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) #s(literal -1/16 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)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 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 (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 (*.f64 x 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 x (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x 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 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64))) (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)) #s(literal 1/4 binary64))) (*.f64 (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))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 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 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 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 (*.f64 x 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))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x 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)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x 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 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 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 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 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 (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 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 (*.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 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))

eval226.0ms (2.2%)

Memory
-32.0MiB live, 260.4MiB allocated
Compiler

Compiled 35 232 to 2 289 computations (93.5% saved)

prune243.0ms (2.4%)

Memory
-16.0MiB live, 264.7MiB allocated
Pruning

39 alts after pruning (32 fresh and 7 done)

PrunedKeptTotal
New1 283161 299
Fresh91625
Picked325
Done055
Total1 295391 334
Accuracy
100.0%
Counts
1 334 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 (exp.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
100.0%
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
99.9%
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
98.2%
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
100.0%
(*.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
99.9%
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
63.1%
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
66.9%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (E.f64))))
66.9%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 (*.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))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
66.9%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (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)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
66.9%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
66.9%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (*.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 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) #s(approx (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
66.9%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.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)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.f64 (/.f64 x (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.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)) (E.f64))) x (/.f64 #s(literal 1 binary64) (E.f64))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.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)) (/.f64 (E.f64) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
66.9%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 (*.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))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
68.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
89.2%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (*.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 (*.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))) (sqrt.f64 (E.f64))) (E.f64) (sqrt.f64 (E.f64))) (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (E.f64) (*.f64 (sqrt.f64 (E.f64)) (*.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))))) (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
89.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
86.4%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))
86.4%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
68.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
26.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
26.5%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
47.2%
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (E.f64)) x))))
51.6%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) #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))))
45.3%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
44.6%
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 x (*.f64 x (E.f64)))))))
89.5%
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.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))))
44.5%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
44.2%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)))))
44.2%
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (*.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (E.f64))))))
Compiler

Compiled 1 909 to 620 computations (67.5% saved)

regimes95.0ms (0.9%)

Memory
1.8MiB live, 41.6MiB allocated
Counts
63 → 1
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 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 x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 x (*.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 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 (/.f64 (*.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (*.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 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 (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 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))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (/.f64 (*.f64 #s(literal 2 binary64) (E.f64)) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* x (* 1/2 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)) (/.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 (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))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (*.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.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))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) #s(approx (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 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))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.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)) (E.f64))) x (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.f64 (/.f64 x (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.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)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.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)) (/.f64 (E.f64) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) #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 (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 (*.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))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 (*.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))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (*.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 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 (*.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))) (sqrt.f64 (E.f64))) (E.f64) (sqrt.f64 (E.f64))) (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (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)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (E.f64) (*.f64 (sqrt.f64 (E.f64)) (*.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))))) (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.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))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
Outputs
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
Calls

5 calls:

34.0ms
x
15.0ms
(*.f64 x x)
15.0ms
(-.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
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)

regimes162.0ms (1.6%)

Memory
0.9MiB live, 78.5MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 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 x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 x (*.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 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 (/.f64 (*.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (*.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 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 (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 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))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (/.f64 (*.f64 #s(literal 2 binary64) (E.f64)) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* x (* 1/2 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)) (/.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 (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))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (*.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.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))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) #s(approx (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 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))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.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)) (E.f64))) x (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.f64 (/.f64 x (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.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)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.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)) (/.f64 (E.f64) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) #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 (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 (*.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))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 (*.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))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (*.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 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 (*.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))) (sqrt.f64 (E.f64))) (E.f64) (sqrt.f64 (E.f64))) (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (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)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (E.f64) (*.f64 (sqrt.f64 (E.f64)) (*.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))))) (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.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:

66.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
53.0ms
x
14.0ms
(*.f64 x x)
13.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
12.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
99.9%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
99.9%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
99.9%1(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes97.0ms (0.9%)

Memory
21.8MiB live, 60.6MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 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 x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 x (*.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 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 (/.f64 (*.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (*.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 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 (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 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))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (/.f64 (*.f64 #s(literal 2 binary64) (E.f64)) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* x (* 1/2 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)) (/.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 (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))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (*.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.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))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) #s(approx (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 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))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.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)) (E.f64))) x (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.f64 (/.f64 x (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.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)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.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)) (/.f64 (E.f64) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) #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 (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 (*.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))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 (*.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))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (*.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 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 (*.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))) (sqrt.f64 (E.f64))) (E.f64) (sqrt.f64 (E.f64))) (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (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)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (E.f64) (*.f64 (sqrt.f64 (E.f64)) (*.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))))) (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
Outputs
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
Calls

5 calls:

42.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
14.0ms
x
13.0ms
(*.f64 x x)
13.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
12.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Results
AccuracySegmentsBranch
98.2%1x
98.2%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
98.2%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
98.2%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
98.2%1(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes94.0ms (0.9%)

Memory
-8.9MiB live, 73.5MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 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 x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 x (*.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 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 (/.f64 (*.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (*.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 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 (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 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))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (/.f64 (*.f64 #s(literal 2 binary64) (E.f64)) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* x (* 1/2 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)) (/.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 (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))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (*.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.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))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) #s(approx (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 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))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.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)) (E.f64))) x (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.f64 (/.f64 x (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.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)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.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)) (/.f64 (E.f64) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) #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 (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 (*.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))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 (*.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))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (*.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 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (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)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 (*.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))) (sqrt.f64 (E.f64))) (E.f64) (sqrt.f64 (E.f64))) (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (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)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (E.f64) (*.f64 (sqrt.f64 (E.f64)) (*.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))))) (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) #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 (/.f64 (*.f64 x x) (E.f64)) x)))))
Calls

5 calls:

29.0ms
(*.f64 x x)
23.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
14.0ms
x
12.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
12.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Results
AccuracySegmentsBranch
93.4%2x
89.5%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
93.4%2(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
93.4%2(-.f64 #s(literal 1 binary64) (*.f64 x x))
93.4%2(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes54.0ms (0.5%)

Memory
11.9MiB live, 51.1MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 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 x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 x (*.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 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 (/.f64 (*.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (*.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 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 (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 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))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (/.f64 (*.f64 #s(literal 2 binary64) (E.f64)) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* x (* 1/2 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)) (/.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 (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))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (*.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.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))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 (*.f64 x x) #s(approx (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (/.f64 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))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.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)) (E.f64))) x (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.f64 (/.f64 x (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (*.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)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (*.f64 x x) (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.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)) (/.f64 (E.f64) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.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)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (E.f64))) (/.f64 (fma.f64 (*.f64 x x) (E.f64) (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 (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))))
Calls

5 calls:

11.0ms
x
11.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
10.0ms
(*.f64 x x)
10.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
9.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
89.5%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
89.5%1x
89.5%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
89.5%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
89.5%1(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes39.0ms (0.4%)

Memory
-8.3MiB live, 30.6MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 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 x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 x (*.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 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 (/.f64 (*.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (*.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 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 (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 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))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (/.f64 (*.f64 #s(literal 2 binary64) (E.f64)) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* x (* 1/2 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (E.f64)) x))))
Calls

5 calls:

11.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
8.0ms
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
89.5%2x
89.5%2(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
89.5%2(*.f64 x x)
89.5%2(-.f64 #s(literal 1 binary64) (*.f64 x x))
89.5%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
-17.8MiB live, 29.2MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 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 x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 x (*.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 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 (/.f64 (*.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (*.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 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 (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 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))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (/.f64 (*.f64 #s(literal 2 binary64) (E.f64)) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* x (* 1/2 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
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)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (E.f64)) x))))
Calls

5 calls:

15.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
7.0ms
x
6.0ms
(*.f64 x x)
6.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
5.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
89.5%2x
89.5%2(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
89.5%2(*.f64 x x)
89.5%2(-.f64 #s(literal 1 binary64) (*.f64 x x))
89.5%2(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes26.0ms (0.2%)

Memory
19.8MiB live, 19.8MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 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 x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 x (*.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 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 (/.f64 (*.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (*.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 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 (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 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))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
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:

5.0ms
x
5.0ms
(*.f64 x x)
5.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
5.0ms
(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
86.4%1x
86.4%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
86.4%1(*.f64 x x)
86.4%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
86.4%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes29.0ms (0.3%)

Memory
-18.2MiB live, 21.3MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 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 x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 x (*.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 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 (/.f64 (*.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (*.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
Outputs
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
Calls

5 calls:

14.0ms
x
4.0ms
(*.f64 x x)
4.0ms
(-.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
86.4%2(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
86.4%2x
86.4%2(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
86.4%2(-.f64 #s(literal 1 binary64) (*.f64 x x))
86.4%2(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes18.0ms (0.2%)

Memory
29.1MiB live, 29.1MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 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 x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 x (*.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 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 (/.f64 (*.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (*.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)))))
Outputs
#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 (*.f64 x x) (E.f64)) x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
Calls

5 calls:

4.0ms
x
3.0ms
(*.f64 x x)
3.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
86.4%2x
86.4%2(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
86.4%2(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
86.4%2(-.f64 #s(literal 1 binary64) (*.f64 x x))
86.4%2(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory
-14.8MiB live, 25.0MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 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 x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 x (*.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
Outputs
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
Calls

5 calls:

3.0ms
x
3.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms
(*.f64 x x)
3.0ms
(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
68.5%1x
68.5%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
68.5%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
68.5%1(*.f64 x x)
68.5%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes44.0ms (0.4%)

Memory
-21.0MiB live, 18.0MiB 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 (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 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 x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (*.f64 x (*.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
Outputs
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
Calls

5 calls:

34.0ms
(-.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
68.5%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
68.5%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
68.5%1x
68.5%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
68.5%1(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
Outputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
Calls

5 calls:

1.0ms
x
1.0ms
(*.f64 x x)
1.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
68.2%2(-.f64 #s(literal 1 binary64) (*.f64 x x))
68.2%2(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
68.2%2x
68.2%2(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
68.2%2(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB 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:

1.0ms
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
(*.f64 x x)
1.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
45.3%1(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
45.3%1(-.f64 #s(literal 1 binary64) (*.f64 x x))
45.3%1x
45.3%1(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
45.3%1(*.f64 x x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.781060583391164e+151
7.915309344580203e+155
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
0.4560046973557344
4133679.8980911346
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
0.4560046973557344
4133679.8980911346
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.21474783169790762
16.23467858470462
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
-15.234678584704621
0.7852521683020923
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch9.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
0.21474783169790762
16.23467858470462
Samples
4.0ms112×0valid
Compiler

Compiled 102 to 73 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (44.1% of total)
ival-exp: 1.0ms (44.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

simplify68.0ms (0.7%)

Memory
1.3MiB live, 41.4MiB allocated
Algorithm
egg-herbie
Rules
372×distribute-lft-neg-in_binary64
214×neg-mul-1_binary64
204×neg-sub0_binary64
180×unsub-neg_binary64
154×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0128693
1155693
2166693
3184691
4225691
5316691
6451691
7590691
8725691
9839691
10955691
111067691
121165691
131218691
141234691
151236691
Stop Event
saturated
Calls
Call 1
Inputs
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
(if (<=.f64 (*.f64 x x) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) #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 (/.f64 (*.f64 x x) (E.f64)) x))))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.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))))
(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 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64))))) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (E.f64)) x)))))
(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 (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 (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (E.f64)) x)))))
#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 3602879701896397/9007199254740992 binary64)) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -10 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 (/.f64 (*.f64 x x) (E.f64)) x))))) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
Outputs
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
(if (<=.f64 (*.f64 x x) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) #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 (/.f64 (*.f64 x x) (E.f64)) x))))))
(if (<=.f64 (*.f64 x x) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) 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 (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))))
(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 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64))))) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (E.f64)) x)))))
(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 #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 (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (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 (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 (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (E.f64)) x)))))
(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 (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (E.f64))) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 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 (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 3602879701896397/9007199254740992 binary64)) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64))))))
(if (<=.f64 (*.f64 x x) #s(literal 3602879701896397/9007199254740992 binary64)) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (/.f64 (*.f64 x x) (E.f64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -10 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 (/.f64 (*.f64 x x) (E.f64)) x))))) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -10 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 (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

soundness1.8s (17%)

Memory
-14.4MiB live, 1 036.5MiB allocated
Rules
18 804×lower-fma.f64
18 804×lower-fma.f32
17 368×lower-fma.f64
17 368×lower-fma.f32
12 190×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02182756
17102467
220542255
367892251
085132035
049267
083259
1362222
22878202
08866193
01502039
14571870
213661769
346281715
085201567
0621
01021
13719
222719
3192319
0930416
01913189
16002929
218212602
357112586
082662349
030254
181241
2247237
3607234
41355234
52041234
63139234
75658234
08384211
032179
055147
1206125
21343125
08528121
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 569 to 248 computations (56.4% saved)

preprocess100.0ms (1%)

Memory
-4.7MiB live, 193.0MiB allocated
Compiler

Compiled 630 to 170 computations (73% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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