Hyperbolic sine

Time bar (total: 10.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 10 to 9 computations (10% saved)

sample2.8s (28%)

Memory
-253.2MiB live, 1 929.9MiB allocated
Samples
1.3s1 515×2valid
877.0ms2 449×1valid
423.0ms4 292×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-exp: 1.4s (76.6% of total)
adjust: 165.0ms (9.2% of total)
ival-div: 132.0ms (7.4% of total)
ival-sub: 75.0ms (4.2% of total)
ival-neg: 32.0ms (1.8% of total)
ival-true: 6.0ms (0.3% of total)
exact: 5.0ms (0.3% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain134.0ms (1.3%)

Memory
-3.7MiB live, 237.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1270-0-(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
00-0-(exp.f64 x)
01(-348.4643640328447)0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))cancellation1270
exp.f64(exp.f64 (neg.f64 x))sensitivity10
Confusion
Predicted +Predicted -
+1270
-1128
Precision
0.9921875
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12700
-10128
Precision?
0.9921875
Recall?
1.0
Freqs
test
numberfreq
0128
1128
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
36.0ms90×2valid
27.0ms154×1valid
15.0ms268×0valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-exp: 44.0ms (72.1% of total)
ival-div: 6.0ms (9.8% of total)
adjust: 4.0ms (6.6% of total)
ival-sub: 4.0ms (6.6% of total)
ival-neg: 2.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess42.0ms (0.4%)

Memory
-24.1MiB live, 53.9MiB allocated
Algorithm
1×egg-herbie
Rules
276×lower-fma.f64
276×lower-fma.f32
180×lower-*.f64
180×lower-*.f32
88×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
13216
27616
317316
434616
550816
653116
078
0128
1238
2408
3678
41098
51688
62278
73498
84108
94198
04198
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
Symmetry

(negabs x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.6%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify18.0ms (0.2%)

Memory
-8.4MiB live, 30.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (neg.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
cost-diff384
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Rules
276×lower-fma.f64
276×lower-fma.f32
180×lower-*.f64
180×lower-*.f32
88×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01223
12323
24023
36723
410923
516823
622723
734923
841023
941923
041923
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)

localize56.0ms (0.6%)

Memory
20.6MiB live, 77.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 x)
accuracy0
(exp.f64 (neg.f64 x))
accuracy0
(exp.f64 x)
accuracy29.050049383024028
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Samples
21.0ms77×1valid
17.0ms45×2valid
9.0ms134×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-exp: 21.0ms (54% of total)
ival-sub: 10.0ms (25.7% of total)
ival-div: 4.0ms (10.3% of total)
adjust: 2.0ms (5.1% of total)
ival-neg: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory
-32.7MiB live, 6.4MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))>
#<alt (exp.f64 x)>
#<alt (exp.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x))
1.0ms
x
@0
((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x))
1.0ms
x
@-inf
((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x))

simplify271.0ms (2.7%)

Memory
13.3MiB live, 401.8MiB allocated
Algorithm
1×egg-herbie
Rules
18 510×lower-fma.f64
18 510×lower-fma.f32
4 440×lower-*.f64
4 440×lower-*.f32
2 418×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074323
1218322
2533316
31385316
42115316
53210316
63765316
75167316
86338316
97587316
08153294
Stop Event
1×iter limit
1×node limit
Counts
60 → 59
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(exp x)
(exp x)
(exp x)
(exp x)
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(exp x)
(exp x)
(exp x)
(exp x)
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite120.0ms (1.2%)

Memory
27.3MiB live, 188.3MiB allocated
Rules
1 606×lower-/.f32
1 604×lower-/.f64
1 600×lower-*.f64
1 600×lower-*.f32
1 038×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0721
01217
14713
229413
0307213
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
5 → 297
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 4 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 4 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))
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(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))

eval83.0ms (0.8%)

Memory
-7.3MiB live, 115.7MiB allocated
Compiler

Compiled 6 382 to 934 computations (85.4% saved)

prune78.0ms (0.8%)

Memory
-14.2MiB live, 103.0MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3506356
Fresh000
Picked101
Done000
Total3516357
Accuracy
100.0%
Counts
357 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶92.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
▶100.0%
(sinh.f64 x)
▶89.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
▶92.7%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
▶81.0%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
54.6%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
Compiler

Compiled 160 to 88 computations (45% saved)

simplify282.0ms (2.8%)

Memory
25.5MiB live, 376.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
cost-diff0
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
cost-diff0
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
cost-diff0
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)
cost-diff0
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
cost-diff0
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
cost-diff0
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
cost-diff0
(sinh.f64 x)
Rules
14 576×lower-fma.f32
14 558×lower-fma.f64
4 116×lower-*.f32
4 100×lower-*.f64
1 468×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036312
064294
1153288
2403288
3902288
41675288
51994288
62749288
73336288
84089288
94712288
105755288
116725288
127633288
137705288
147891288
08030282
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(sinh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)
(*.f64 x x)
x
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
x
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(*.f64 x x)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
x
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(*.f64 x #s(literal 1/2520 binary64))
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
Outputs
(sinh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(*.f64 x x)
x
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
x
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 x x)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
x
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(*.f64 x #s(literal 1/2520 binary64))
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)

localize257.0ms (2.6%)

Memory
19.3MiB live, 291.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0546875
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
accuracy0.0703125
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
accuracy0.16796875
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
accuracy4.68528596067016
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
accuracy0.07421875
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
accuracy0.078125
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
accuracy0.11556625976844201
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
accuracy4.686999100187941
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
accuracy0.03125
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)
accuracy0.09375
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
accuracy0.21875
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
accuracy6.695046896423194
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
accuracy0
(*.f64 x x)
accuracy0.06640625
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
accuracy0.171875
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy12.129039041810698
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
accuracy0.0078125
(sinh.f64 x)
Samples
84.0ms134×0valid
62.0ms44×2valid
50.0ms77×1valid
1.0ms1×3valid
Compiler

Compiled 259 to 42 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 173.0ms
ival-mult: 62.0ms (35.9% of total)
const: 40.0ms (23.2% of total)
ival-exp: 21.0ms (12.2% of total)
ival-sinh: 17.0ms (9.9% of total)
ival-add: 14.0ms (8.1% of total)
adjust: 11.0ms (6.4% of total)
ival-div: 3.0ms (1.7% of total)
ival-sub: 2.0ms (1.2% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
0.6MiB live, 33.3MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#<alt (sinh.f64 x)>
#<alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))>
#<alt (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))>
#<alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))>
#<alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))>
#<alt (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)>
#<alt (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))>
#<alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))>
#<alt #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (* 1/120 x)>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt 1/120>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))>
#<alt 1/60>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/2520 (pow x 6))>
#<alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/2520 (pow x 5))>
#<alt (* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))>
#<alt (* 1/2520 (pow x 6))>
#<alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/2520 (pow x 5))>
#<alt (* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@0
((sinh x) (/ (- (exp x) (exp (neg x))) 2) (+ (* x (* 1/6 (* x x))) x) (* 1/6 (* x x)) (* x x) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (* x (+ (* (* x x) 1/120) 1/6)) (/ (- (exp x) (exp (neg x))) 2) (+ (* x (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6))) x) (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* x (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2)) (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2) (+ (* (* x x) 1/120) 1/6) (* x (+ (* (* x x) 1/5040) 1/120)) (+ (* (* x x) 1/5040) 1/120) (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)) (+ (* x (* x 1/2520)) 1/60) (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))
5.0ms
x
@inf
((sinh x) (/ (- (exp x) (exp (neg x))) 2) (+ (* x (* 1/6 (* x x))) x) (* 1/6 (* x x)) (* x x) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (* x (+ (* (* x x) 1/120) 1/6)) (/ (- (exp x) (exp (neg x))) 2) (+ (* x (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6))) x) (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* x (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2)) (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2) (+ (* (* x x) 1/120) 1/6) (* x (+ (* (* x x) 1/5040) 1/120)) (+ (* (* x x) 1/5040) 1/120) (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)) (+ (* x (* x 1/2520)) 1/60) (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))
4.0ms
x
@-inf
((sinh x) (/ (- (exp x) (exp (neg x))) 2) (+ (* x (* 1/6 (* x x))) x) (* 1/6 (* x x)) (* x x) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (* x (+ (* (* x x) 1/120) 1/6)) (/ (- (exp x) (exp (neg x))) 2) (+ (* x (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6))) x) (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* x (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2)) (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2) (+ (* (* x x) 1/120) 1/6) (* x (+ (* (* x x) 1/5040) 1/120)) (+ (* (* x x) 1/5040) 1/120) (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)) (+ (* x (* x 1/2520)) 1/60) (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))

simplify267.0ms (2.7%)

Memory
-17.4MiB live, 435.5MiB allocated
Algorithm
1×egg-herbie
Rules
13 654×lower-fma.f64
13 654×lower-fma.f32
4 212×lower-*.f64
4 212×lower-*.f32
2 902×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01612296
15482236
214572226
339482212
479592212
080242076
Stop Event
1×iter limit
1×node limit
Counts
252 → 244
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/120 x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
1/120
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 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)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
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(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/5040 (pow x 6))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/2520 (pow x 7))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/2520 (pow x 6))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/5040 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/2520 (pow x 5))
(*.f64 #s(literal 1/2520 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x))))
(* 1/2520 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* 1/2520 (pow x 4))
(*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))

rewrite318.0ms (3.2%)

Memory
-7.8MiB live, 456.9MiB allocated
Rules
5 648×lower-fma.f32
5 630×lower-fma.f64
4 092×lower-*.f32
4 076×lower-*.f64
4 058×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036274
064252
1294246
22172246
08554240
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 509
Calls
Call 1
Inputs
(sinh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
Outputs
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(-.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)))
(-.f64 (/.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(sinh.f64 x)
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/216000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))))

eval134.0ms (1.3%)

Memory
15.5MiB live, 237.1MiB allocated
Compiler

Compiled 26 694 to 2 343 computations (91.2% saved)

prune175.0ms (1.7%)

Memory
-12.0MiB live, 224.7MiB allocated
Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New81825843
Fresh011
Picked235
Done000
Total82029849
Accuracy
100.0%
Counts
849 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
69.2%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64))) (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
69.2%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64))))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
91.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3) (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)))) #s(literal 2 binary64))
▶92.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) #s(literal 2 binary64))
92.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
✓100.0%
(sinh.f64 x)
92.7%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x))
89.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x))
81.0%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x))
81.0%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x))
89.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/6 binary64))) x))
✓89.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
▶88.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
81.0%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) #s(literal 1/6 binary64))) x))
88.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/120) 1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x))
92.7%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x))
60.4%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
▶92.7%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
69.2%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x))
92.7%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
69.2%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64)))))) #s(literal 1/6 binary64))) x))
69.2%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) #s(literal 1/6 binary64))) x))
92.1%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x))
✓81.0%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
▶92.7%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
54.6%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
42.3%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
▶34.4%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
Compiler

Compiled 1 154 to 584 computations (49.4% saved)

simplify253.0ms (2.5%)

Memory
27.4MiB live, 295.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) #s(literal 2 binary64))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
cost-diff0
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
cost-diff0
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
cost-diff320
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64)))
cost-diff0
(*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
cost-diff0
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
cost-diff0
#s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))
cost-diff0
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
cost-diff0
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
cost-diff128
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)
Rules
12 248×lower-fma.f32
12 230×lower-fma.f64
3 408×lower-*.f32
3 386×lower-*.f64
2 194×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051517
085471
1196467
2486467
31106467
41987467
53275467
64604467
75618467
86945467
97719467
08090455
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
#s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1/6 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
(fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(*.f64 x x)
x
(*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
#s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
x
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(*.f64 x x)
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64)))
(*.f64 x (*.f64 x x))
#s(literal 1/5040 binary64)
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(*.f64 x #s(literal 1/2520 binary64))
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(*.f64 x x)
x
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
#s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1/6 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
(fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(fma.f64 x (*.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(*.f64 x x)
x
(*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
#s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x)
x
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(*.f64 x x)
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(*.f64 x (*.f64 x x))
#s(literal 1/5040 binary64)
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(*.f64 x #s(literal 1/2520 binary64))
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)

localize322.0ms (3.2%)

Memory
-13.1MiB live, 434.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0546875
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
accuracy0.0703125
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
accuracy0.35747217202515
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
accuracy4.68528596067016
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
accuracy0.078125
(*.f64 x #s(literal 1/120 binary64))
accuracy0.1015625
(*.f64 x (*.f64 x x))
accuracy0.11556625976844201
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
accuracy4.686999100187941
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
accuracy0.16015625
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
accuracy0.21875
(*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
accuracy6.695046896423194
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
accuracy31.525006414170694
#s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
accuracy0.1015625
(*.f64 x (*.f64 x x))
accuracy0.1328125
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
accuracy12.129039041810698
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
accuracy30.871525804455647
#s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))
accuracy0.07421875
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
accuracy0.08203125
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
accuracy0.171875
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
accuracy4.686999100187941
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
Samples
120.0ms77×1valid
59.0ms134×0valid
56.0ms44×2valid
1.0ms1×3valid
Compiler

Compiled 400 to 52 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 196.0ms
ival-mult: 90.0ms (46% of total)
ival-add: 33.0ms (16.9% of total)
ival-exp: 27.0ms (13.8% of total)
const: 22.0ms (11.2% of total)
adjust: 14.0ms (7.2% of total)
ival-div: 8.0ms (4.1% of total)
ival-sub: 2.0ms (1% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
-9.7MiB live, 28.9MiB allocated
Counts
27 → 324
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)>
#<alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))>
#<alt (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))>
#<alt (*.f64 x x)>
#<alt #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))>
#<alt #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))>
#<alt (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)>
#<alt (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))>
#<alt (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64)))>
#<alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))>
#<alt (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)>
#<alt (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))>
#<alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) #s(literal 2 binary64))>
#<alt #s(approx (- (exp x) (exp (neg x))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))>
#<alt #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))>
#<alt (*.f64 (*.f64 x x) #s(literal 1/120 binary64))>
#<alt (*.f64 x #s(literal 1/120 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 x)>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt 1/120>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/12 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12)))>
#<alt 1/60>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/2520 (pow x 6))>
#<alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/5040 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (/ 2520 (pow x 6))>
#<alt (/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 21591360 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/2520 (pow x 6))>
#<alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (/ 2520 (pow x 6))>
#<alt (/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 21591360 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
Calls

3 calls:

TimeVariablePointExpression
18.0ms
x
@inf
((+ (* (* x x) (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))) x) (/ (- (exp x) (exp (neg x))) 2) (* (* x x) (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))) (* x x) (/ (- (exp x) (exp (neg x))) 2) (+ (* x (* 1/6 (* x x))) x) (* 1/6 (* x (* x x))) (* x (* x x)) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (* x (+ (* (* x x) 1/120) 1/6)) (+ (* (* x (* x x)) 1/5040) (* x 1/120)) (/ (- (exp x) (exp (neg x))) 2) (+ (* x (* (* x x) (+ (* x (+ (* (* x (* x x)) 1/5040) (* x 1/120))) 1/6))) x) (* (* x x) (+ (* x (+ (* (* x (* x x)) 1/5040) (* x 1/120))) 1/6)) (/ 1 (/ 1 (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)) 2))) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* x (/ 1 (/ 1 (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)) 2)))) (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (+ (* (* x x) 1/5040) 1/120) (+ (* (* x x) 1/120) 1/6) (* (* x x) 1/120) (* x 1/120) (/ 1 (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)) 2)) (+ (* x (* x 1/2520)) 1/60) (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))
4.0ms
x
@-inf
((+ (* (* x x) (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))) x) (/ (- (exp x) (exp (neg x))) 2) (* (* x x) (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))) (* x x) (/ (- (exp x) (exp (neg x))) 2) (+ (* x (* 1/6 (* x x))) x) (* 1/6 (* x (* x x))) (* x (* x x)) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (* x (+ (* (* x x) 1/120) 1/6)) (+ (* (* x (* x x)) 1/5040) (* x 1/120)) (/ (- (exp x) (exp (neg x))) 2) (+ (* x (* (* x x) (+ (* x (+ (* (* x (* x x)) 1/5040) (* x 1/120))) 1/6))) x) (* (* x x) (+ (* x (+ (* (* x (* x x)) 1/5040) (* x 1/120))) 1/6)) (/ 1 (/ 1 (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)) 2))) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* x (/ 1 (/ 1 (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)) 2)))) (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (+ (* (* x x) 1/5040) 1/120) (+ (* (* x x) 1/120) 1/6) (* (* x x) 1/120) (* x 1/120) (/ 1 (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)) 2)) (+ (* x (* x 1/2520)) 1/60) (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))
2.0ms
x
@0
((+ (* (* x x) (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))) x) (/ (- (exp x) (exp (neg x))) 2) (* (* x x) (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))) (* x x) (/ (- (exp x) (exp (neg x))) 2) (+ (* x (* 1/6 (* x x))) x) (* 1/6 (* x (* x x))) (* x (* x x)) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (* x (+ (* (* x x) 1/120) 1/6)) (+ (* (* x (* x x)) 1/5040) (* x 1/120)) (/ (- (exp x) (exp (neg x))) 2) (+ (* x (* (* x x) (+ (* x (+ (* (* x (* x x)) 1/5040) (* x 1/120))) 1/6))) x) (* (* x x) (+ (* x (+ (* (* x (* x x)) 1/5040) (* x 1/120))) 1/6)) (/ 1 (/ 1 (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)) 2))) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* x (/ 1 (/ 1 (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)) 2)))) (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (+ (* (* x x) 1/5040) 1/120) (+ (* (* x x) 1/120) 1/6) (* (* x x) 1/120) (* x 1/120) (/ 1 (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)) 2)) (+ (* x (* x 1/2520)) 1/60) (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))

simplify261.0ms (2.6%)

Memory
-3.1MiB live, 313.1MiB allocated
Algorithm
1×egg-herbie
Rules
12 086×lower-fma.f64
12 086×lower-fma.f32
4 090×lower-*.f64
4 090×lower-*.f32
2 570×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01902896
16292830
216642815
345182798
082772645
Stop Event
1×iter limit
1×node limit
Counts
324 → 315
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
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(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
1/120
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
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(* 1/120 (pow x 2))
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1/2
(+ 1/2 (* -1/12 (pow x 2)))
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1/60
(+ 1/60 (* 1/2520 (pow x 2)))
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1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2 (- (exp x) (exp (neg x))))
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(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
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(* 1/2 (- (exp x) (exp (neg x))))
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(/ 2520 (pow x 6))
(/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 21591360 (/ 1 (pow x 6))))) (pow x 6))
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(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
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(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
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(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(pow x 2)
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(pow x 3)
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(pow x 3)
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(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
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(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
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(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
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(- (exp x) (exp (* -1 x)))
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(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(/ 2520 (pow x 6))
(/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 21591360 (/ 1 (pow x 6))))) (pow x 6))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.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)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.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))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/12 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 7/720 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -31/30240 binary64)) #s(literal 7/720 binary64))) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.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)
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
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(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))))
(* 1/5040 (pow x 6))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/2520 (pow x 6))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/2520 (pow x 7))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/5040 (pow x 5))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(/ 2520 (pow x 6))
(/.f64 #s(literal 2520 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 2520 binary64) (/.f64 #s(literal -105840 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 2520 binary64) (+.f64 (/.f64 #s(literal 2328480 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -105840 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 21591360 (/ 1 (pow x 6))))) (pow x 6))
(+.f64 (/.f64 (+.f64 #s(literal 2520 binary64) (+.f64 (/.f64 #s(literal 2328480 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -105840 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -21591360 binary64) (pow.f64 x #s(literal 12 binary64))))
(* 1/2520 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/2520 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))

rewrite334.0ms (3.3%)

Memory
23.4MiB live, 386.6MiB allocated
Rules
5 680×lower-fma.f32
5 662×lower-fma.f64
4 332×lower-*.f32
4 310×lower-*.f64
3 170×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051439
085385
1380365
22868365
08558353
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 536
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
#s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
(fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 x #s(literal 1/120 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
Outputs
(+.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(-.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (-.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal -1/9 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64)) (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/16003008000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2520 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2520 binary64)))) (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2520 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2520 binary64))))) #s(literal 3 binary64)) (*.f64 #s(literal 1/216000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2520 binary64))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2520 binary64))))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2520 binary64))))) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))))
(*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))

eval181.0ms (1.8%)

Memory
-29.4MiB live, 289.8MiB allocated
Compiler

Compiled 34 131 to 2 635 computations (92.3% saved)

prune171.0ms (1.7%)

Memory
31.0MiB live, 228.5MiB allocated
Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New1 040131 053
Fresh51621
Picked415
Done123
Total1 050321 082
Accuracy
100.0%
Counts
1 082 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
▶92.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
91.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3) (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)))) #s(literal 2 binary64))
92.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
✓100.0%
(sinh.f64 x)
92.7%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x))
89.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x))
81.0%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x))
81.0%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x))
89.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/6 binary64))) x))
✓89.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
▶88.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x))
88.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/120) 1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x))
60.4%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
69.2%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x))
69.2%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x))
62.2%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) #s(literal 1/6 binary64))) x))
92.7%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
69.2%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64)))))) #s(literal 1/6 binary64))) x))
69.2%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) #s(literal 1/6 binary64))) x))
92.1%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x))
92.1%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x #s(approx (+ (* (* x (* x x)) 1/5040) (* x 1/120)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64))) x))
60.8%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
▶92.7%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
▶92.7%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
69.2%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) #s(literal 1/6 binary64)))) x))
54.6%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
42.3%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
42.3%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
34.4%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))
▶34.4%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
✓34.4%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
Compiler

Compiled 1 328 to 646 computations (51.4% saved)

simplify255.0ms (2.5%)

Memory
-19.0MiB live, 345.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x)))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x)
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x))
cost-diff0
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))
cost-diff0
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
cost-diff128
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x)
cost-diff320
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
cost-diff0
(*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x)
cost-diff0
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
cost-diff0
#s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))
cost-diff0
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
cost-diff0
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
cost-diff128
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)
Rules
11 224×lower-fma.f32
11 208×lower-fma.f64
3 068×lower-*.f32
3 046×lower-*.f64
1 892×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053536
088528
1204516
2443492
3918492
42014492
52888492
64002492
74816492
86061492
97118492
08092480
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64))
(*.f64 x #s(literal 1/5040 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 x x)
x
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x))
(fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x)
(*.f64 x x)
x
(*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))
#s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))
(*.f64 (*.f64 x #s(literal 1/120 binary64)) x)
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x x)
x
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
x
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(*.f64 x x)
x
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 x #s(literal 1/5040 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
#s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))
#s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x x)
x
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)) x))
(fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x)
(fma.f64 #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)) x)
(*.f64 x x)
x
(*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))
(*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
#s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))
#s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))
(*.f64 (*.f64 x #s(literal 1/120 binary64)) x)
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x)
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(*.f64 x x)
x
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
x
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)

localize505.0ms (5%)

Memory
23.0MiB live, 530.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x))
accuracy0.16796875
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
accuracy0.35747217202515
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
accuracy4.68528596067016
#s(approx (- (exp x) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x)))
accuracy0.078125
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
accuracy0.08203125
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))
accuracy0.30078125
(*.f64 x #s(literal 1/6 binary64))
accuracy4.686999100187941
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
accuracy0.1328125
(*.f64 (*.f64 x #s(literal 1/120 binary64)) x)
accuracy0.21484375
(*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))
accuracy6.695046896423194
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x))
accuracy31.282839129683172
#s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))
accuracy0.12337875976844201
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
accuracy0.30078125
(*.f64 x #s(literal 1/6 binary64))
accuracy12.129039041810698
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
accuracy30.672491269843388
#s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))
accuracy0.0703125
(fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64))
accuracy0.08203125
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
accuracy0.16796875
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
accuracy4.686999100187941
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
Samples
268.0ms77×1valid
107.0ms44×2valid
62.0ms134×0valid
2.0ms1×5exit
Compiler

Compiled 420 to 54 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 214.0ms
ival-exp: 63.0ms (29.4% of total)
ival-mult: 53.0ms (24.8% of total)
adjust: 42.0ms (19.6% of total)
const: 23.0ms (10.7% of total)
ival-add: 19.0ms (8.9% of total)
ival-div: 10.0ms (4.7% of total)
ival-sub: 2.0ms (0.9% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-38.8MiB live, 19.4MiB allocated
Counts
26 → 312
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)>
#<alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))>
#<alt (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))>
#<alt (*.f64 x x)>
#<alt #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))>
#<alt #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))>
#<alt (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))>
#<alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x))>
#<alt (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x)>
#<alt (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))>
#<alt (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))>
#<alt (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x)>
#<alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))>
#<alt (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x)>
#<alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x))) #s(literal 2 binary64))>
#<alt #s(approx (- (exp x) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))>
#<alt (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64))>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))>
#<alt (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* -1/12 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)>
#<alt (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt 1/120>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 x)>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/12 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12)))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
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#<alt (* 1/2 (- (exp x) (exp (neg x))))>
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#<alt (* 1/2520 (pow x 5))>
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#<alt (* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
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#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
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#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
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#<alt (* 1/6 (pow x 3))>
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#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
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#<alt (/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 21591360 (/ 1 (pow x 6))))) (pow x 6))>
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#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))>
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((+ (* (* x x) (* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6))) x) (/ (- (exp x) (exp (neg x))) 2) (* (* x x) (* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6))) (* x x) (/ (- (exp x) (exp (neg x))) 2) (+ (* x (* 1/6 (* x x))) x) (* (* x x) (* x 1/6)) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (* x (+ (* (* x x) 1/120) 1/6)) (+ (* (* x (+ (* (* x x) 1/5040) 1/120)) (* x x)) (* x 1/6)) (+ (* (* x x) (+ (* (* x (+ (* (* x x) 1/5040) 1/120)) (* x x)) (* x 1/6))) x) (/ (- (exp x) (exp (neg x))) 2) (* (* x x) (+ (* (* x (+ (* (* x x) 1/5040) 1/120)) (* x x)) (* x 1/6))) (/ 1 (/ (/ 1 (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3))) 2)) x)) (/ (/ 1 (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3))) 2)) x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6)) (+ (* (* x 1/5040) x) 1/120) (* x 1/6) (+ (* (* x x) 1/120) 1/6) (* (* x 1/120) x) (* x (+ (* (* x x) 1/5040) 1/120)) (/ 1 (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3))) 2)) (* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)))
4.0ms
x
@-inf
((+ (* (* x x) (* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6))) x) (/ (- (exp x) (exp (neg x))) 2) (* (* x x) (* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6))) (* x x) (/ (- (exp x) (exp (neg x))) 2) (+ (* x (* 1/6 (* x x))) x) (* (* x x) (* x 1/6)) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (* x (+ (* (* x x) 1/120) 1/6)) (+ (* (* x (+ (* (* x x) 1/5040) 1/120)) (* x x)) (* x 1/6)) (+ (* (* x x) (+ (* (* x (+ (* (* x x) 1/5040) 1/120)) (* x x)) (* x 1/6))) x) (/ (- (exp x) (exp (neg x))) 2) (* (* x x) (+ (* (* x (+ (* (* x x) 1/5040) 1/120)) (* x x)) (* x 1/6))) (/ 1 (/ (/ 1 (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3))) 2)) x)) (/ (/ 1 (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3))) 2)) x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6)) (+ (* (* x 1/5040) x) 1/120) (* x 1/6) (+ (* (* x x) 1/120) 1/6) (* (* x 1/120) x) (* x (+ (* (* x x) 1/5040) 1/120)) (/ 1 (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3))) 2)) (* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)))
2.0ms
x
@0
((+ (* (* x x) (* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6))) x) (/ (- (exp x) (exp (neg x))) 2) (* (* x x) (* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6))) (* x x) (/ (- (exp x) (exp (neg x))) 2) (+ (* x (* 1/6 (* x x))) x) (* (* x x) (* x 1/6)) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (* x (+ (* (* x x) 1/120) 1/6)) (+ (* (* x (+ (* (* x x) 1/5040) 1/120)) (* x x)) (* x 1/6)) (+ (* (* x x) (+ (* (* x (+ (* (* x x) 1/5040) 1/120)) (* x x)) (* x 1/6))) x) (/ (- (exp x) (exp (neg x))) 2) (* (* x x) (+ (* (* x (+ (* (* x x) 1/5040) 1/120)) (* x x)) (* x 1/6))) (/ 1 (/ (/ 1 (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3))) 2)) x)) (/ (/ 1 (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3))) 2)) x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6)) (+ (* (* x 1/5040) x) 1/120) (* x 1/6) (+ (* (* x x) 1/120) 1/6) (* (* x 1/120) x) (* x (+ (* (* x x) 1/5040) 1/120)) (/ 1 (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3))) 2)) (* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)))

simplify276.0ms (2.8%)

Memory
37.6MiB live, 378.9MiB allocated
Algorithm
1×egg-herbie
Rules
13 752×lower-fma.f64
13 752×lower-fma.f32
4 704×lower-*.f64
4 704×lower-*.f32
2 800×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02042956
16542890
217132869
346292854
084212713
Stop Event
1×iter limit
1×node limit
Counts
312 → 303
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(/ 1/2 x)
(/ (+ 1/2 (* -1/12 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
1/120
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
1/2
(+ 1/2 (* -1/12 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12)))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(/ 2520 (pow x 7))
(/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 7))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 7))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 21591360 (/ 1 (pow x 6))))) (pow x 7))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(/ 2520 (pow x 6))
(/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 21591360 (/ 1 (pow x 6))))) (pow x 6))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(/ 2520 (pow x 7))
(* -1 (/ (- (* 105840 (/ 1 (pow x 2))) 2520) (pow x 7)))
(* -1 (/ (- (* 105840 (/ 1 (pow x 2))) (+ 2520 (/ 2328480 (pow x 4)))) (pow x 7)))
(* -1 (/ (- (+ (* 105840 (/ 1 (pow x 2))) (* 21591360 (/ 1 (pow x 6)))) (+ 2520 (/ 2328480 (pow x 4)))) (pow x 7)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(/ 2520 (pow x 6))
(/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 21591360 (/ 1 (pow x 6))))) (pow x 6))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(* 1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 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)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* 1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(* 1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
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(/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 2520 binary64) (/.f64 #s(literal -105840 binary64) (*.f64 x x))) (/.f64 #s(literal 2328480 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 21591360 (/ 1 (pow x 6))))) (pow x 6))
(+.f64 (/.f64 (+.f64 (+.f64 #s(literal 2520 binary64) (/.f64 #s(literal -105840 binary64) (*.f64 x x))) (/.f64 #s(literal 2328480 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -21591360 binary64) (pow.f64 x #s(literal 12 binary64))))
(* 1/2520 (pow x 5))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/2520 binary64) (/.f64 (+.f64 #s(literal -1/60 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/2520 binary64) (/.f64 (+.f64 #s(literal -1/60 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x x))))

rewrite398.0ms (4%)

Memory
-11.0MiB live, 586.5MiB allocated
Rules
5 700×lower-fma.f32
5 684×lower-fma.f64
4 448×lower-*.f32
4 426×lower-*.f64
3 290×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053447
088427
1402375
22581375
08363363
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 551
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x))
(fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x)
(*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64))
(*.f64 x #s(literal 1/6 binary64))
#s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))
(*.f64 (*.f64 x #s(literal 1/120 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
Outputs
(+.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x)
(+.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))
(+.f64 (+.f64 x (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(fma.f64 x (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))
(fma.f64 x (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))
(fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))
(fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x x)
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))
(fma.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) x) x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x)
(fma.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x)))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (*.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)))) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) x)

eval177.0ms (1.8%)

Memory
0.3MiB live, 323.9MiB allocated
Compiler

Compiled 33 578 to 1 989 computations (94.1% saved)

prune137.0ms (1.4%)

Memory
29.5MiB live, 302.2MiB allocated
Pruning

37 alts after pruning (30 fresh and 7 done)

PrunedKeptTotal
New1 00391 012
Fresh32124
Picked145
Done033
Total1 007371 044
Accuracy
100.0%
Counts
1 044 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
✓92.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
91.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3) (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)))) #s(literal 2 binary64))
92.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
✓100.0%
(sinh.f64 x)
92.7%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x))
92.7%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
89.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x))
81.0%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x))
81.0%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x))
89.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/6 binary64))) x))
✓89.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
✓88.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x))
88.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/120) 1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x))
60.4%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
69.2%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x))
62.2%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) #s(literal 1/6 binary64))) x))
69.2%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64)))))) #s(literal 1/6 binary64))) x))
92.1%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x))
92.1%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x #s(approx (+ (* (* x (* x x)) 1/5040) (* x 1/120)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64))) x))
60.8%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
92.7%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
69.2%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
92.1%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 #s(approx (* x (+ (* (* x x) 1/5040) 1/120)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
✓92.7%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
69.2%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) x))
69.2%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) #s(literal 1/6 binary64)))) x))
69.2%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)))) x))
91.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* x (+ (* (* x x) 1/5040) 1/120)) (* x x)) (* x 1/6)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) x))
54.6%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
42.3%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
42.3%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
42.3%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
34.4%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))
34.4%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)))
✓34.4%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
✓34.4%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
Compiler

Compiled 1 896 to 610 computations (67.8% saved)

regimes58.0ms (0.6%)

Memory
-30.1MiB live, 86.1MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/120) 1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x #s(approx (+ (* (* x (* x x)) 1/5040) (* x 1/120)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* x (+ (* (* x x) 1/5040) 1/120)) (* x x)) (* x 1/6)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 #s(approx (* x (+ (* (* x x) 1/5040) 1/120)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3) (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64)))))) #s(literal 1/6 binary64))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64))) (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) #s(literal 1/6 binary64))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64))))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
(sinh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Outputs
(sinh.f64 x)
Calls

3 calls:

16.0ms
x
12.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
11.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
100.0%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes42.0ms (0.4%)

Memory
-4.0MiB live, 76.6MiB allocated
Counts
51 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/120) 1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x #s(approx (+ (* (* x (* x x)) 1/5040) (* x 1/120)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* x (+ (* (* x x) 1/5040) 1/120)) (* x x)) (* x 1/6)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 #s(approx (* x (+ (* (* x x) 1/5040) 1/120)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3) (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64)))))) #s(literal 1/6 binary64))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64))) (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) #s(literal 1/6 binary64))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64))))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
Calls

3 calls:

13.0ms
x
12.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
11.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
95.5%2x
92.7%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
92.7%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.2%)

Memory
28.9MiB live, 28.9MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/120) 1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x #s(approx (+ (* (* x (* x x)) 1/5040) (* x 1/120)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* x (+ (* (* x x) 1/5040) 1/120)) (* x x)) (* x 1/6)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 #s(approx (* x (+ (* (* x x) 1/5040) 1/120)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3) (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64)))))) #s(literal 1/6 binary64))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64))) (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) #s(literal 1/6 binary64))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64))))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
95.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes38.0ms (0.4%)

Memory
2.8MiB live, 76.2MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/120) 1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x #s(approx (+ (* (* x (* x x)) 1/5040) (* x 1/120)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* x (+ (* (* x x) 1/5040) 1/120)) (* x x)) (* x 1/6)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 #s(approx (* x (+ (* (* x x) 1/5040) 1/120)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3) (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64)))))) #s(literal 1/6 binary64))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64))) (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) #s(literal 1/6 binary64))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64))))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
Calls

3 calls:

14.0ms
x
12.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
10.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
92.7%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
92.7%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
92.7%1x
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.2%)

Memory
-9.5MiB live, 27.8MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/120) 1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x #s(approx (+ (* (* x (* x x)) 1/5040) (* x 1/120)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* x (+ (* (* x x) 1/5040) 1/120)) (* x x)) (* x 1/6)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) x))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x #s(approx (+ (* (* x (* x x)) 1/5040) (* x 1/120)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64))) x))
Calls

3 calls:

6.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
6.0ms
x
5.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
92.1%1x
92.1%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
92.1%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes14.0ms (0.1%)

Memory
23.9MiB live, 23.9MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/120) 1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/6 binary64))) x))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
Calls

3 calls:

5.0ms
x
4.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
4.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
89.5%1x
89.5%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
89.5%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes31.0ms (0.3%)

Memory
-51.1MiB live, 45.8MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/120) 1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/120) 1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x))
Calls

3 calls:

19.0ms
x
8.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
4.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
88.5%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
88.5%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
88.5%1x
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
Calls

3 calls:

4.0ms
x
3.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
3.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
89.2%2x
89.2%2(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
89.2%2(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.1%)

Memory
-22.5MiB live, 16.8MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* (* x x) 1/120) 1/6) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
Calls

3 calls:

4.0ms
x
2.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
81.0%1x
81.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
81.0%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
Calls

3 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
34.4%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
34.4%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
34.4%1x
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
1.0ms
2.4934841448301336e+61
6.926804159309308e+62
Samples
1.0ms16×0valid
Compiler

Compiled 72 to 35 computations (51.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-exp: 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)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
0.0ms
2.4934841448301336e+61
6.926804159309308e+62
Compiler

Compiled 71 to 34 computations (52.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.820754629888831
10422743627.073318
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify11.0ms (0.1%)

Memory
-13.1MiB live, 26.1MiB allocated
Algorithm
1×egg-herbie
Rules
40×*-commutative_binary64
8×+-commutative_binary64
6×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087406
1112406
2117406
3120406
4121406
Stop Event
1×saturated
Calls
Call 1
Inputs
(sinh.f64 x)
(if (<=.f64 x #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x #s(approx (+ (* (* x (* x x)) 1/5040) (* x 1/120)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/120) 1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
Outputs
(sinh.f64 x)
(if (<=.f64 x #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 x (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x #s(approx (+ (* (* x (* x x)) 1/5040) (* x 1/120)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x #s(approx (+ (* (* x (* x x)) 1/5040) (* x 1/120)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/120) 1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/120) 1/6)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) x))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* x (* 1/6 (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))

soundness1.3s (12.9%)

Memory
32.4MiB live, 872.9MiB allocated
Rules
18 510×lower-fma.f64
18 510×lower-fma.f32
13 654×lower-fma.f64
13 654×lower-fma.f32
12 086×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01612296
15482236
214572226
339482212
479592212
080242076
036274
064252
1294246
22172246
08554240
051439
085385
1380365
22868365
08558353
01902896
16292830
216642815
345182798
082772645
074323
1218322
2533316
31385316
42115316
53210316
63765316
75167316
86338316
97587316
08153294
0721
01217
14713
229413
0307213
Stop Event
1×fuel
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 435 to 163 computations (62.5% saved)

preprocess98.0ms (1%)

Memory
-5.9MiB live, 192.0MiB allocated
Remove

(negabs x)

Compiler

Compiled 522 to 144 computations (72.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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