Hyperbolic tangent

Time bar (total: 4.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 15 to 9 computations (40% saved)

sample3.1s (69.4%)

Memory
40.8MiB live, 926.0MiB allocated; 92ms collecting garbage
Samples
1.2s3 778×1184valid
477.0ms2 300×592valid
438.0ms7 624×74exit
174.0ms1 210×296valid
58.0ms581×148valid
23.0ms387×74valid
Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-exp: 1.3s (64% of total)
ival-div: 239.0ms (12.2% of total)
ival-sub: 175.0ms (9% of total)
ival-add: 161.0ms (8.2% of total)
adjust: 62.0ms (3.2% of total)
ival-neg: 61.0ms (3.1% of total)
ival-assert: 5.0ms (0.3% of total)
Bogosity

explain203.0ms (4.6%)

Memory
-29.9MiB live, 78.1MiB allocated; 5ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2471(0.0022900383217190805)1(0.008127433002295334)(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
10-0-(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
00-0-(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-(exp.f64 x)
03(-197.00191631899656)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)))cancellation2471
exp.f64(exp.f64 (neg.f64 x))sensitivity31
/.f64(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))o/o10
(exp.f64 x)overflow1
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))overflow1
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))overflow1
(exp.f64 x)overflow1
Confusion
Predicted +Predicted -
+2471
-44
Precision
0.9840637450199203
Recall
0.9959677419354839
Confusion?
Predicted +Predicted MaybePredicted -
+24710
-413
Precision?
0.9802371541501976
Recall?
1.0
Freqs
test
numberfreq
05
1251
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
80.0ms222×1184valid
38.0ms164×592valid
11.0ms70×296valid
3.0ms28×148valid
2.0ms28×74valid
Compiler

Compiled 83 to 25 computations (69.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-exp: 72.0ms (66.9% of total)
ival-div: 12.0ms (11.1% of total)
ival-add: 9.0ms (8.4% of total)
ival-sub: 8.0ms (7.4% of total)
adjust: 3.0ms (2.8% of total)
ival-neg: 2.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess133.0ms (3%)

Memory
-1.8MiB live, 36.9MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01339
14539
210439
341439
4441227
0713
01313
12613
26613
326313
416679
089929
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
Symmetry

(negabs x)

Compiler

Compiled 13 to 7 computations (46.2% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 13 to 7 computations (46.2% saved)

series4.0ms (0.1%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Counts
7 → 31
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
Calls

3 calls:

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

rewrite178.0ms (4%)

Memory
4.3MiB live, 36.1MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127498
0140356
1753345
06406319
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
38 → 120
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
Outputs
(tanh.f64 x)
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(/.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cosh.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (sinh.f64 x) (sinh.f64 x))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(exp.f64 x)
x
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
(*.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(/.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (sinh.f64 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (cosh.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2/15 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)) #s(literal 1/3 binary64))) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))

eval17.0ms (0.4%)

Memory
-1.9MiB live, 13.0MiB allocated; 1ms collecting garbage
Compiler

Compiled 3 096 to 499 computations (83.9% saved)

prune5.0ms (0.1%)

Memory
-3.6MiB live, 7.3MiB allocated; 1ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1566162
Fresh000
Picked101
Done000
Total1576163
Accuracy
100.0%
Counts
163 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
99.6%
(/.f64 (sinh.f64 x) (cosh.f64 x))
100.0%
(tanh.f64 x)
97.6%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
97.0%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
96.4%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 158 to 102 computations (35.4% saved)

series14.0ms (0.3%)

Memory
-1.5MiB live, 6.1MiB allocated; 1ms collecting garbage
Counts
18 → 47
Calls
Call 1
Inputs
(tanh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
#s(literal 2/15 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sinh.f64 x)
(cosh.f64 x)
Outputs
#s(approx (tanh x) #s(hole binary64 x))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 -1/3))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 (- (* 2/15 (pow x 2)) 1/3)))
#s(approx (* 2/15 (* x x)) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (sinh x) (cosh x)) #s(hole binary64 x))
#s(approx (/ (sinh x) (cosh x)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (sinh x) (cosh x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (sinh x) (cosh x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (tanh x) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) #s(hole binary64 (* 2/15 (pow x 5))))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) #s(hole binary64 (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) #s(hole binary64 (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (sinh x) (cosh x)) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((tanh x) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) 3 -1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 (* x x) 1/3 (/ (sinh x) (cosh x)) (sinh x) (cosh x))
5.0ms
x
@-inf
((tanh x) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) 3 -1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 (* x x) 1/3 (/ (sinh x) (cosh x)) (sinh x) (cosh x))
2.0ms
x
@0
((tanh x) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) 3 -1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 (* x x) 1/3 (/ (sinh x) (cosh x)) (sinh x) (cosh x))

rewrite183.0ms (4.1%)

Memory
5.9MiB live, 35.8MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0172934
0184722
1828697
06572653
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
65 → 251
Calls
Call 1
Inputs
(tanh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
#s(literal 2/15 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sinh.f64 x)
(cosh.f64 x)
#s(approx (tanh x) #s(hole binary64 x))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 -1/3))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 (- (* 2/15 (pow x 2)) 1/3)))
#s(approx (* 2/15 (* x x)) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (sinh x) (cosh x)) #s(hole binary64 x))
#s(approx (/ (sinh x) (cosh x)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (sinh x) (cosh x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (sinh x) (cosh x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (tanh x) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) #s(hole binary64 (* 2/15 (pow x 5))))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) #s(hole binary64 (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) #s(hole binary64 (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (sinh x) (cosh x)) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))))
Outputs
(tanh.f64 x)
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (sinh.f64 (neg.f64 x))) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x)))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(neg.f64 (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(neg.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
x
#s(approx (tanh x) x)
#s(approx (tanh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (*.f64 x (fma.f64 #s(literal -1/27 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x) x)
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64)))
(-.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 x x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(literal 3 binary64)
#s(literal -1/3 binary64)
#s(approx (tanh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
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(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) (*.f64 x x) x)
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(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) x x)
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)
(fma.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(-.f64 x (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)))
(-.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)))))
(/.f64 (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64))))
(fma.f64 (*.f64 #s(literal 2/15 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 #s(literal 2/15 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 #s(literal 2/15 binary64) x) x #s(literal -1/3 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 x (*.f64 #s(literal 2/15 binary64) x) #s(literal -1/3 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 2/15 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 2/15 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 2/15 binary64) x) x)
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2/15 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2/15 binary64)))
(*.f64 x (*.f64 #s(literal 2/15 binary64) x))
#s(literal 2/15 binary64)
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(tanh.f64 x)
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (sinh.f64 (neg.f64 x))) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
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(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x)))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(neg.f64 (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(neg.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
#s(approx (tanh x) x)
#s(approx (tanh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (tanh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (tanh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x))
#s(approx x x)
#s(approx (tanh x) x)
#s(approx (tanh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (tanh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (tanh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x))
#s(approx (+ (* (pow x 3) -1/3) x) x)
#s(approx (+ (* (pow x 3) -1/3) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) x)
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(literal -1/3 binary64))
#s(approx (- (* 2/15 (* x x)) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
#s(approx (* 2/15 (* x x)) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (tanh x) x)
#s(approx (tanh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (tanh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (tanh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x))
#s(approx (sinh x) x)
#s(approx (sinh x) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (sinh x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (sinh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (tanh x) (tanh.f64 x))
#s(approx (tanh x) (tanh.f64 x))
#s(approx (+ (* (pow x 3) -1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))
#s(approx (+ (* (pow x 3) -1/3) x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/3 binary64) #s(literal 2/15 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/3 binary64) (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (- (* 2/15 (* x x)) 1/3) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
#s(approx (- (* 2/15 (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/3 binary64) #s(literal 2/15 binary64)) x) x))
#s(approx (tanh x) (tanh.f64 x))
#s(approx (sinh x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (cosh x) (*.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (tanh x) (tanh.f64 x))
#s(approx (+ (* (pow x 3) -1/3) x) (*.f64 (neg.f64 (-.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 2/15 binary64)) (pow.f64 x #s(literal -4 binary64)))))

eval25.0ms (0.6%)

Memory
4.2MiB live, 19.2MiB allocated; 1ms collecting garbage
Compiler

Compiled 6 155 to 830 computations (86.5% saved)

prune7.0ms (0.2%)

Memory
-7.5MiB live, 10.3MiB allocated; 1ms collecting garbage
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2413244
Fresh011
Picked325
Done000
Total2446250
Accuracy
100.0%
Counts
250 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
100.0%
(tanh.f64 x)
97.6%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) (*.f64 x x) x))
97.0%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
96.4%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
97.5%
#s(approx (tanh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x))
Compiler

Compiled 96 to 57 computations (40.6% saved)

series12.0ms (0.3%)

Memory
-0.5MiB live, 7.2MiB allocated; 1ms collecting garbage
Counts
26 → 92
Calls
Call 1
Inputs
#s(approx (tanh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
#s(literal -17/315 binary64)
(*.f64 x x)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)
(*.f64 (*.f64 x x) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) (*.f64 x x) x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) (*.f64 x x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (cosh.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)
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
#s(literal 2 binary64)
Outputs
#s(approx (tanh x) #s(hole binary64 x))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) #s(hole binary64 (- (* 2/15 (pow x 2)) 1/3)))
#s(approx (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) #s(hole binary64 (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
#s(approx (+ (* -17/315 (* x x)) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* -17/315 (* x x)) 2/15) #s(hole binary64 (+ 2/15 (* -17/315 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (* (+ (* (* x x) 2/15) -1/3) x) #s(hole binary64 (* -1/3 x)))
#s(approx (* (+ (* (* x x) 2/15) -1/3) x) #s(hole binary64 (* x (- (* 2/15 (pow x 2)) 1/3))))
#s(approx (+ (* (* x x) 2/15) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 2/15) -1/3) #s(hole binary64 (- (* 2/15 (pow x 2)) 1/3)))
#s(approx (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (tanh x) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* -17/315 (pow x 7))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) #s(hole binary64 (* -17/315 (pow x 4))))
#s(approx (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* -17/315 (* x x)) 2/15) #s(hole binary64 (* -17/315 (pow x 2))))
#s(approx (+ (* -17/315 (* x x)) 2/15) #s(hole binary64 (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) #s(hole binary64 (* 2/15 (pow x 5))))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) #s(hole binary64 (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) #s(hole binary64 (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 2/15) -1/3) x) #s(hole binary64 (* 2/15 (pow x 3))))
#s(approx (* (+ (* (* x x) 2/15) -1/3) x) #s(hole binary64 (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 2/15) -1/3) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (+ (* (* x x) 2/15) -1/3) #s(hole binary64 (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* (* x x) 2/15) -1/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))))
#s(approx (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((tanh x) (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (pow x 3) x 3 (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (+ (* -17/315 (* x x)) 2/15) -17/315 (* x x) 2/15 -1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (* (* x x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) (* (+ (* (* x x) 2/15) -1/3) x) (+ (* (* x x) 2/15) -1/3) (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x) (* (cosh x) 2) (cosh x) 2)
4.0ms
x
@inf
((tanh x) (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (pow x 3) x 3 (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (+ (* -17/315 (* x x)) 2/15) -17/315 (* x x) 2/15 -1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (* (* x x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) (* (+ (* (* x x) 2/15) -1/3) x) (+ (* (* x x) 2/15) -1/3) (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x) (* (cosh x) 2) (cosh x) 2)
2.0ms
x
@0
((tanh x) (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (pow x 3) x 3 (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (+ (* -17/315 (* x x)) 2/15) -17/315 (* x x) 2/15 -1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (* (* x x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) (* (+ (* (* x x) 2/15) -1/3) x) (+ (* (* x x) 2/15) -1/3) (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x) (* (cosh x) 2) (cosh x) 2)

rewrite146.0ms (3.3%)

Memory
4.8MiB live, 52.3MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03061915
03431589
114981576
082091523
Stop Event
iter limit
node limit
iter limit
Counts
118 → 338
Calls
Call 1
Inputs
#s(approx (tanh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
#s(literal -17/315 binary64)
(*.f64 x x)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)
(*.f64 (*.f64 x x) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) (*.f64 x x) x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) (*.f64 x x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (cosh.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)
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
#s(literal 2 binary64)
#s(approx (tanh x) #s(hole binary64 x))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) #s(hole binary64 (- (* 2/15 (pow x 2)) 1/3)))
#s(approx (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) #s(hole binary64 (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
#s(approx (+ (* -17/315 (* x x)) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* -17/315 (* x x)) 2/15) #s(hole binary64 (+ 2/15 (* -17/315 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (* (+ (* (* x x) 2/15) -1/3) x) #s(hole binary64 (* -1/3 x)))
#s(approx (* (+ (* (* x x) 2/15) -1/3) x) #s(hole binary64 (* x (- (* 2/15 (pow x 2)) 1/3))))
#s(approx (+ (* (* x x) 2/15) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* x x) 2/15) -1/3) #s(hole binary64 (- (* 2/15 (pow x 2)) 1/3)))
#s(approx (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (tanh x) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* -17/315 (pow x 7))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) #s(hole binary64 (* -17/315 (pow x 4))))
#s(approx (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* -17/315 (* x x)) 2/15) #s(hole binary64 (* -17/315 (pow x 2))))
#s(approx (+ (* -17/315 (* x x)) 2/15) #s(hole binary64 (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) #s(hole binary64 (* 2/15 (pow x 5))))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) #s(hole binary64 (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) #s(hole binary64 (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 2/15) -1/3) x) #s(hole binary64 (* 2/15 (pow x 3))))
#s(approx (* (+ (* (* x x) 2/15) -1/3) x) #s(hole binary64 (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 2/15) -1/3) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (+ (* (* x x) 2/15) -1/3) #s(hole binary64 (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* (* x x) 2/15) -1/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))))
#s(approx (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(-.f64 x (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))))
(+.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
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(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (+.f64 x (neg.f64 x))))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (exp.f64 (neg.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (exp.f64 x))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (exp.f64 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (+.f64 x (neg.f64 x)))))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (+.f64 x (neg.f64 x)))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) x)
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx x x)
#s(approx (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) #s(literal -1/3 binary64))
#s(approx (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
#s(approx (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)))
#s(approx (+ (* -17/315 (* x x)) 2/15) #s(literal 2/15 binary64))
#s(approx (+ (* -17/315 (* x x)) 2/15) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (* (* x x) x) -1/3) x) x)
#s(approx (+ (* (* (* x x) x) -1/3) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) x)
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* x x) 2/15) -1/3) x) (*.f64 #s(literal -1/3 binary64) x))
#s(approx (* (+ (* (* x x) 2/15) -1/3) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x))
#s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64))
#s(approx (+ (* (* x x) 2/15) -1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (cosh x) 2) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64)))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)))
#s(approx (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64))))
#s(approx (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* -17/315 (* x x)) 2/15) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))
#s(approx (+ (* -17/315 (* x x)) 2/15) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (*.f64 x x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (+ (* (* (* x x) x) -1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))
#s(approx (+ (* (* (* x x) x) -1/3) x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) (*.f64 (-.f64 #s(literal 2/15 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -2/15 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (* x x) 2/15) -1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/15 binary64)))
#s(approx (* (+ (* (* x x) 2/15) -1/3) x) (*.f64 (-.f64 #s(literal 2/15 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* x x) 2/15) -1/3) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
#s(approx (+ (* (* x x) 2/15) -1/3) (*.f64 (-.f64 #s(literal 2/15 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (neg.f64 (*.f64 (-.f64 #s(literal 17/315 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/315 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/315 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (+ (* (* (* x x) x) -1/3) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 2/15 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (* (* (+ (* (* x x) 2/15) -1/3) x) (* x x)) x) (neg.f64 (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 2/15 binary64)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (* x x) 2/15) -1/3) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 2/15 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval54.0ms (1.2%)

Memory
-0.6MiB live, 36.8MiB allocated; 5ms collecting garbage
Compiler

Compiled 12 305 to 1 694 computations (86.2% saved)

prune9.0ms (0.2%)

Memory
2.0MiB live, 17.9MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4541455
Fresh000
Picked134
Done022
Total4556461
Accuracy
100.0%
Counts
461 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
100.0%
(tanh.f64 x)
97.6%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) (*.f64 x x) x))
97.0%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
97.5%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
96.4%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 109 to 62 computations (43.1% saved)

series4.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Counts
11 → 37
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(*.f64 x x)
x
#s(literal -17/315 binary64)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) #s(hole binary64 (- (* 2/15 (pow x 2)) 1/3)))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) #s(hole binary64 (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
#s(approx (+ (* (* x x) -17/315) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* (* x x) -17/315) 2/15) #s(hole binary64 (+ 2/15 (* -17/315 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* -17/315 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) #s(hole binary64 (* -17/315 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) #s(hole binary64 (* -17/315 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* (* x x) -17/315) 2/15) #s(hole binary64 (* -17/315 (pow x 2))))
#s(approx (+ (* (* x x) -17/315) 2/15) #s(hole binary64 (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (+ (* (* x x) -17/315) 2/15) (* x x) x -17/315 2/15 -1/3 1)
1.0ms
x
@-inf
((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (+ (* (* x x) -17/315) 2/15) (* x x) x -17/315 2/15 -1/3 1)
1.0ms
x
@0
((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (+ (* (* x x) -17/315) 2/15) (* x x) x -17/315 2/15 -1/3 1)

rewrite133.0ms (3%)

Memory
-4.2MiB live, 25.3MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01231061
0135922
1558910
04248896
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
48 → 161
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(*.f64 x x)
x
#s(literal -17/315 binary64)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) #s(hole binary64 (- (* 2/15 (pow x 2)) 1/3)))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) #s(hole binary64 (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
#s(approx (+ (* (* x x) -17/315) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* (* x x) -17/315) 2/15) #s(hole binary64 (+ 2/15 (* -17/315 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* -17/315 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) #s(hole binary64 (* -17/315 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) #s(hole binary64 (* -17/315 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* (* x x) -17/315) 2/15) #s(hole binary64 (* -17/315 (pow x 2))))
#s(approx (+ (* (* x x) -17/315) 2/15) #s(hole binary64 (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x) x x)
(fma.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x) x)
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x) x) x)
(+.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x)
(+.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x) x))
(+.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal -1 binary64))))
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(-.f64 (*.f64 (*.f64 #s(literal -17/315 binary64) x) x) #s(literal -2/15 binary64))
(-.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -17/315 binary64)))
(-.f64 #s(literal 2/15 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -17/315 binary64) x)))
(-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (*.f64 #s(literal -34/4725 binary64) (*.f64 x x))))) (/.f64 #s(literal 8/3375 binary64) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (*.f64 #s(literal -34/4725 binary64) (*.f64 x x))))))
(+.f64 (/.f64 #s(literal 8/3375 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -17/315 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) #s(literal 4/225 binary64))) (/.f64 (*.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -17/315 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) #s(literal 4/225 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal -17/315 binary64) x) x) #s(literal 2/15 binary64))
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 #s(literal -17/315 binary64) x) x))
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal -17/315 binary64)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2/15 binary64) x) x) #s(literal 1/3 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2/15 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)) #s(literal 1/3 binary64))) x))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) x)
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2/15 binary64) x) x) #s(literal 1/3 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2/15 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)) #s(literal 1/3 binary64))) x))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(literal 2/15 binary64) x) x) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 2/15 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) #s(literal -1/3 binary64))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (-.f64 (*.f64 (*.f64 #s(literal 2/15 binary64) x) x) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (fma.f64 (*.f64 #s(literal 2/15 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)) #s(literal 1/3 binary64))))
#s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64))
#s(approx (+ (* (* x x) -17/315) 2/15) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64)))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -17/315 binary64)))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64))))
#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) -17/315) 2/15) (*.f64 (*.f64 #s(literal -17/315 binary64) x) x))
#s(approx (+ (* (* x x) -17/315) 2/15) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) x) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) (*.f64 (neg.f64 (fma.f64 #s(literal -2/15 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 17/315 binary64))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) (*.f64 (neg.f64 (fma.f64 #s(literal -2/15 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/315 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) 1) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (fma.f64 #s(literal -2/15 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/315 binary64))) (pow.f64 x #s(literal -6 binary64)))))

eval31.0ms (0.7%)

Memory
-3.3MiB live, 19.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 8 425 to 985 computations (88.3% saved)

prune7.0ms (0.2%)

Memory
2.5MiB live, 10.4MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2180218
Fresh000
Picked011
Done055
Total2186224
Accuracy
100.0%
Counts
224 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
100.0%
(tanh.f64 x)
97.6%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) (*.f64 x x) x))
97.0%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
97.5%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
96.4%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 301 to 114 computations (62.1% saved)

regimes6.0ms (0.1%)

Memory
-3.5MiB live, 4.3MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(tanh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
#s(approx (tanh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(tanh.f64 x)
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
100.0%1x
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) (*.f64 x x) x))
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
97.6%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
97.6%1x
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
97.0%1x
97.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes2.0ms (0%)

Memory
-6.7MiB live, 2.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
96.4%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
96.4%1x
Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify34.0ms (0.8%)

Memory
4.7MiB live, 12.1MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01966
13266
27266
326866
4167954
Stop Event
node limit
Calls
Call 1
Inputs
(tanh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Outputs
(tanh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

derivations115.0ms (2.6%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 66 to 19 computations (71.2% saved)

preprocess22.0ms (0.5%)

Memory
-0.8MiB live, 14.3MiB allocated; 1ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 162 to 56 computations (65.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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