Hyperbolic tangent

Time bar (total: 6.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×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)

sample4.5s (74.2%)

Memory
-74.2MiB live, 3 774.7MiB allocated; 2.2s collecting garbage
Samples
2.5s3 194×2valid
849.0ms4 716×1valid
455.0ms7 787×0exit
20.0ms346×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.3s
ival-exp: 2.8s (82.2% of total)
adjust: 217.0ms (6.5% of total)
ival-div!: 150.0ms (4.5% of total)
ival-sub!: 81.0ms (2.4% of total)
ival-add!: 78.0ms (2.3% of total)
ival-neg: 70.0ms (2.1% of total)
Bogosity

explain307.0ms (5.1%)

Memory
20.6MiB live, 403.1MiB allocated; 111ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2430-0-(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
80-0-(/.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)
00-0-(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)))cancellation2430
/.f64(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))o/o80
↳(exp.f64 x)overflow5
↳(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))overflow8
↳(exp.f64 (neg.f64 x))overflow3
↳(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))overflow8
↳(exp.f64 x)overflow5
↳(exp.f64 (neg.f64 x))overflow3
Confusion
Predicted +Predicted -
+2510
-05
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25100
-014
Precision?
0.996031746031746
Recall?
1.0
Freqs
test
numberfreq
05
1251
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
105.0ms222×2valid
59.0ms262×1valid
2.0ms28×0valid
Compiler

Compiled 83 to 25 computations (69.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-exp: 117.0ms (81.2% of total)
adjust: 13.0ms (9% of total)
ival-div!: 6.0ms (4.2% of total)
ival-sub!: 3.0ms (2.1% of total)
ival-add!: 3.0ms (2.1% of total)
ival-neg: 3.0ms (2.1% of total)

preprocess38.0ms (0.6%)

Memory
-31.6MiB live, 22.9MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01339
14539
210439
341439
4441227
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.5%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Symmetry

(negabs x)

Compiler

Compiled 26 to 14 computations (46.2% saved)

series4.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB 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))))

rewrite193.0ms (3.2%)

Memory
6.1MiB live, 192.6MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127498
0140356
1753345
06406319
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×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)))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 x) (cosh.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))
(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 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.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)))

eval18.0ms (0.3%)

Memory
-6.2MiB live, 39.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 3 096 to 499 computations (83.9% saved)

prune3.0ms (0%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1584162
Fresh000
Picked101
Done000
Total1594163
Accuracy
100.0%
Counts
163 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶11.7%
(/.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))))
▶96.9%
(/.f64 (sinh.f64 x) (cosh.f64 x))
▶100.0%
(tanh.f64 x)
▶95.6%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 35 to 22 computations (37.1% saved)

series12.0ms (0.2%)

Memory
29.0MiB live, 29.0MiB allocated; 0ms collecting garbage
Counts
13 → 48
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
x
(tanh.f64 x)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sinh.f64 x)
(cosh.f64 x)
(/.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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) 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 x #s(hole binary64 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 (/ (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 (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) #s(hole binary64 x))
#s(approx (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* 2 x)))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* x (+ 2 (* -2 x)))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* x (+ 2 (* x (- (* 4/3 x) 2))))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* x (+ 2 (* x (- (* x (+ 4/3 (* -2/3 x))) 2))))))
#s(approx (exp (* -2 x)) #s(hole binary64 1))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 2))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 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 (tanh x) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#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 (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) #s(hole binary64 (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (- 1 (exp (* -2 x)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (exp (* -2 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))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x (tanh x) (/ (sinh x) (cosh x)) (sinh x) (cosh x) (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (- 1 (exp (* -2 x))) 1 (exp (* -2 x)) (* -2 x) -2 (+ 1 (exp (* -2 x))))
4.0ms
x
@-inf
((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x (tanh x) (/ (sinh x) (cosh x)) (sinh x) (cosh x) (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (- 1 (exp (* -2 x))) 1 (exp (* -2 x)) (* -2 x) -2 (+ 1 (exp (* -2 x))))
2.0ms
x
@0
((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x (tanh x) (/ (sinh x) (cosh x)) (sinh x) (cosh x) (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (- 1 (exp (* -2 x))) 1 (exp (* -2 x)) (* -2 x) -2 (+ 1 (exp (* -2 x))))

rewrite199.0ms (3.3%)

Memory
-47.5MiB live, 198.6MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0171862
0182634
1887630
07154590
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
61 → 254
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
x
(tanh.f64 x)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sinh.f64 x)
(cosh.f64 x)
(/.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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 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 x #s(hole binary64 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 (/ (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 (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) #s(hole binary64 x))
#s(approx (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* 2 x)))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* x (+ 2 (* -2 x)))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* x (+ 2 (* x (- (* 4/3 x) 2))))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* x (+ 2 (* x (- (* x (+ 4/3 (* -2/3 x))) 2))))))
#s(approx (exp (* -2 x)) #s(hole binary64 1))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 2))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 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 (tanh x) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#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 (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) #s(hole binary64 (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (- 1 (exp (* -2 x)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (exp (* -2 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))))))
Outputs
#s(approx (tanh x) x)
x
(tanh.f64 x)
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(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (exp.f64 (neg.f64 x))) (fabs.f64 (exp.f64 (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 (neg.f64 x))))
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x))) (sinh.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
#s(approx (tanh x) x)
#s(approx (tanh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (tanh x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tanh x) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x))
#s(approx x x)
#s(approx (tanh x) x)
#s(approx (tanh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (tanh x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tanh x) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x))
#s(approx (tanh x) x)
#s(approx (tanh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (tanh x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tanh x) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x))
#s(approx (sinh x) x)
#s(approx (sinh x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (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)) (*.f64 x x) #s(literal 1 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) x)
#s(approx (tanh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (tanh x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tanh x) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x))
#s(approx (- 1 (exp (* -2 x))) (*.f64 #s(literal 2 binary64) x))
#s(approx (- 1 (exp (* -2 x))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x))
#s(approx (- 1 (exp (* -2 x))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- 1 (exp (* -2 x))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 4/3 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (exp (* -2 x)) #s(literal 1 binary64))
#s(approx (exp (* -2 x)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (* -2 x) (*.f64 #s(literal -2 binary64) x))
#s(approx (+ 1 (exp (* -2 x))) #s(literal 2 binary64))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (tanh x) (tanh.f64 x))
#s(approx (tanh x) (tanh.f64 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 (- 1 (exp (* -2 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
#s(approx (exp (* -2 x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
#s(approx (tanh x) (tanh.f64 x))

eval24.0ms (0.4%)

Memory
1.6MiB live, 46.8MiB allocated; 5ms collecting garbage
Compiler

Compiled 4 039 to 672 computations (83.4% saved)

prune5.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2223225
Fresh000
Picked044
Done000
Total2227229
Accuracy
100.0%
Counts
229 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓11.7%
(/.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))))
✓96.9%
(/.f64 (sinh.f64 x) (cosh.f64 x))
✓100.0%
(tanh.f64 x)
✓95.6%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
▶95.6%
#s(approx (tanh x) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x))
▶95.8%
#s(approx (tanh x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
▶95.4%
#s(approx (tanh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
Compiler

Compiled 85 to 54 computations (36.5% saved)

series14.0ms (0.2%)

Memory
26.4MiB live, 26.4MiB allocated; 0ms collecting garbage
Counts
22 → 66
Calls
Call 1
Inputs
#s(approx (tanh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/3 binary64)
#s(literal 1 binary64)
#s(approx (tanh x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.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)
#s(literal 1/3 binary64)
#s(approx (tanh x) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x))
(fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x)
(*.f64 x (*.f64 x x))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x)
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
#s(literal -17/315 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 (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 (+ 1 (* -1/3 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (+ (* (- (* 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 (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/3 (pow x 2)))))
#s(approx (+ (* (- (* 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 (- (* 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 x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 x))
#s(approx (+ (* (* x (* x x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (+ (* (* x (* x x)) (- (* (* (+ (* -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 (+ (* (* x (* x x)) (- (* (* (+ (* -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 (* x (* x x)) #s(hole binary64 (pow x 3)))
#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) x) x) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (* (* (+ (* -17/315 (* x x)) 2/15) x) x) #s(hole binary64 (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) x) #s(hole binary64 (* 2/15 x)))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) x) #s(hole binary64 (* x (+ 2/15 (* -17/315 (pow x 2))))))
#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 (tanh x) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 (* -1/3 (pow x 2))))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 2/15 (pow x 5))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) 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) (* x x)) 1) #s(hole binary64 (* 2/15 (pow x 4))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 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 (+ (* (* x (* x x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* -17/315 (pow x 7))))
#s(approx (+ (* (* x (* x x)) (- (* (* (+ (* -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 (+ (* (* x (* x x)) (- (* (* (+ (* -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 (+ (* (* x (* x x)) (- (* (* (+ (* -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) x) x) #s(hole binary64 (* -17/315 (pow x 4))))
#s(approx (* (* (+ (* -17/315 (* x x)) 2/15) x) x) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) x) #s(hole binary64 (* -17/315 (pow x 3))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) x) #s(hole binary64 (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#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 (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))))
#s(approx (+ (* (* x (* x x)) (- (* (* (+ (* -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 (+ (* (* x (* x x)) (- (* (* (+ (* -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 (+ (* (* x (* x x)) (- (* (* (+ (* -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 (* (+ (* -17/315 (* x x)) 2/15) x) #s(hole binary64 (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((tanh x) (* (+ (* (* x x) -1/3) 1) x) (+ (* (* x x) -1/3) 1) (* x x) x -1/3 1 (tanh x) (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 1/3 (tanh x) (+ (* (* x (* x x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (* x (* x x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) (* (* (+ (* -17/315 (* x x)) 2/15) x) x) (* (+ (* -17/315 (* x x)) 2/15) x) (+ (* -17/315 (* x x)) 2/15) -17/315)
4.0ms
x
@inf
((tanh x) (* (+ (* (* x x) -1/3) 1) x) (+ (* (* x x) -1/3) 1) (* x x) x -1/3 1 (tanh x) (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 1/3 (tanh x) (+ (* (* x (* x x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (* x (* x x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) (* (* (+ (* -17/315 (* x x)) 2/15) x) x) (* (+ (* -17/315 (* x x)) 2/15) x) (+ (* -17/315 (* x x)) 2/15) -17/315)
2.0ms
x
@0
((tanh x) (* (+ (* (* x x) -1/3) 1) x) (+ (* (* x x) -1/3) 1) (* x x) x -1/3 1 (tanh x) (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 1/3 (tanh x) (+ (* (* x (* x x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (* x (* x x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) (* (* (+ (* -17/315 (* x x)) 2/15) x) x) (* (+ (* -17/315 (* x x)) 2/15) x) (+ (* -17/315 (* x x)) 2/15) -17/315)

rewrite177.0ms (2.9%)

Memory
17.8MiB live, 197.4MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01971574
02251451
18131424
058171332
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
88 → 400
Calls
Call 1
Inputs
#s(approx (tanh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/3 binary64)
#s(literal 1 binary64)
#s(approx (tanh x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.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)
#s(literal 1/3 binary64)
#s(approx (tanh x) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x))
(fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x)
(*.f64 x (*.f64 x x))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x)
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
#s(literal -17/315 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 (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 (+ 1 (* -1/3 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (+ (* (- (* 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 (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/3 (pow x 2)))))
#s(approx (+ (* (- (* 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 (- (* 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 x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 x))
#s(approx (+ (* (* x (* x x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (+ (* (* x (* x x)) (- (* (* (+ (* -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 (+ (* (* x (* x x)) (- (* (* (+ (* -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 (* x (* x x)) #s(hole binary64 (pow x 3)))
#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) x) x) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (* (* (+ (* -17/315 (* x x)) 2/15) x) x) #s(hole binary64 (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) x) #s(hole binary64 (* 2/15 x)))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) x) #s(hole binary64 (* x (+ 2/15 (* -17/315 (pow x 2))))))
#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 (tanh x) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 (* -1/3 (pow x 2))))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 2/15 (pow x 5))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) 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) (* x x)) 1) #s(hole binary64 (* 2/15 (pow x 4))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 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 (+ (* (* x (* x x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* -17/315 (pow x 7))))
#s(approx (+ (* (* x (* x x)) (- (* (* (+ (* -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 (+ (* (* x (* x x)) (- (* (* (+ (* -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 (+ (* (* x (* x x)) (- (* (* (+ (* -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) x) x) #s(hole binary64 (* -17/315 (pow x 4))))
#s(approx (* (* (+ (* -17/315 (* x x)) 2/15) x) x) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) x) #s(hole binary64 (* -17/315 (pow x 3))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) x) #s(hole binary64 (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#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 (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))))
#s(approx (+ (* (* x (* x x)) (- (* (* (+ (* -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 (+ (* (* x (* x x)) (- (* (* (+ (* -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 (+ (* (* x (* x x)) (- (* (* (+ (* -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 (* (+ (* -17/315 (* x x)) 2/15) x) #s(hole binary64 (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))))
Outputs
#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 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) 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 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/3 binary64) x) x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 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 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/3 binary64) x) x)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 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 (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 x x) (*.f64 #s(literal -1/3 binary64) x) x)
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x)
(-.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal -1/3 binary64) x) x)))
(+.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 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.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 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/3 binary64) x) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/3 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/3 binary64) x) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
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(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(fma.f64 x (*.f64 #s(literal -17/315 binary64) x) #s(literal 2/15 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))))
(-.f64 (/.f64 #s(literal 4/225 binary64) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (*.f64 x x)))))
(-.f64 (*.f64 (*.f64 #s(literal -17/315 binary64) x) x) #s(literal -2/15 binary64))
(-.f64 #s(literal 2/15 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -17/315 binary64) x)) x))
(-.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -17/315 binary64)))
(-.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))
#s(literal -17/315 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x))
#s(approx (tanh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x #s(literal -1/3 binary64)) x))
#s(approx (* (+ (* (* x x) -1/3) 1) x) x)
#s(approx (* (+ (* (* x x) -1/3) 1) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (+ (* (* x x) -1/3) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/3) 1) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) x)
#s(approx (* (+ (* (- (* 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 (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) 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))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#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 x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) x)
#s(approx (+ (* (* x (* x x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (+ (* (* x (* x x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) 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))
#s(approx (+ (* (* x (* x x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x #s(literal -1/3 binary64)) x))
#s(approx (* x (* x x)) (pow.f64 x #s(literal 3 binary64)))
#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 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x #s(literal -1/3 binary64)))
#s(approx (* (* (+ (* -17/315 (* x x)) 2/15) x) x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
#s(approx (* (* (+ (* -17/315 (* x x)) 2/15) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) x) (*.f64 #s(literal 2/15 binary64) x))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x))
#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 (tanh x) (tanh.f64 x))
#s(approx (* (+ (* (* x x) -1/3) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))
#s(approx (* (+ (* (* x x) -1/3) 1) 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) -1/3) 1) (*.f64 (*.f64 #s(literal -1/3 binary64) x) x))
#s(approx (+ (* (* x x) -1/3) 1) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) x) x))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) 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 (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) 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) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/15 binary64)))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/3 binary64) #s(literal 2/15 binary64))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (*.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 4 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 (+ (* (* x (* x x)) (- (* (* (+ (* -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 (+ (* (* x (* x x)) (- (* (* (+ (* -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 (+ (* (* x (* x x)) (- (* (* (+ (* -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)) (fma.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 x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.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 (- (* (* (+ (* -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 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 17/315 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (* -17/315 (* x x)) 2/15) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)))
#s(approx (* (* (+ (* -17/315 (* x x)) 2/15) x) 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 4 binary64))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -17/315 binary64)))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) 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 3 binary64))))
#s(approx (+ (* -17/315 (* x x)) 2/15) (*.f64 (*.f64 #s(literal -17/315 binary64) x) x))
#s(approx (+ (* -17/315 (* x x)) 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 (* (+ (* (* x x) -1/3) 1) 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 (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (*.f64 (neg.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 (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.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 -4 binary64)))))
#s(approx (+ (* (* x (* x x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) 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 x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (*.f64 (neg.f64 (fma.f64 #s(literal -2/15 binary64) (pow.f64 x #s(literal -2 binary64)) (fma.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 x)) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -4 binary64)) (-.f64 #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)))))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) 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 3 binary64))))

eval106.0ms (1.8%)

Memory
-36.2MiB live, 63.6MiB allocated; 13ms collecting garbage
Compiler

Compiled 12 216 to 2 044 computations (83.3% saved)

prune11.0ms (0.2%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New4953498
Fresh000
Picked303
Done044
Total4987505
Accuracy
100.0%
Counts
505 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓11.7%
(/.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))))
✓96.9%
(/.f64 (sinh.f64 x) (cosh.f64 x))
✓100.0%
(tanh.f64 x)
✓95.6%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
▶95.6%
#s(approx (tanh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x #s(literal -1/3 binary64)) x) (*.f64 x x) x))
▶95.4%
#s(approx (tanh x) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x x))
▶95.8%
#s(approx (tanh 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))
Compiler

Compiled 83 to 51 computations (38.6% saved)

series9.0ms (0.2%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Counts
20 → 66
Calls
Call 1
Inputs
#s(approx (tanh 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))
(*.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)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
#s(approx (tanh x) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x x))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x x)
(*.f64 (*.f64 #s(literal -1/3 binary64) x) x)
(*.f64 #s(literal -1/3 binary64) x)
#s(approx (tanh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x #s(literal -1/3 binary64)) x) (*.f64 x x) x))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x #s(literal -1/3 binary64)) x) (*.f64 x x) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x #s(literal -1/3 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
#s(literal -17/315 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 (* (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 2/15) -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) 2/15) -1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/3 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (* -1/3 x) x) x) x) #s(hole binary64 x))
#s(approx (+ (* (* (* -1/3 x) x) x) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (* -1/3 x) x) #s(hole binary64 (* -1/3 (pow x 2))))
#s(approx (* -1/3 x) #s(hole binary64 (* -1/3 x)))
#s(approx (+ (* (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) (* x x)) 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 x)) 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 x)) 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) #s(hole binary64 (* -1/3 x)))
#s(approx (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) #s(hole binary64 (* x (- (* 2/15 (pow x 2)) 1/3))))
#s(approx (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) #s(hole binary64 (* x (- (* (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) x) #s(hole binary64 (* 2/15 x)))
#s(approx (* (+ (* (* x x) -17/315) 2/15) x) #s(hole binary64 (* x (+ 2/15 (* -17/315 (pow x 2))))))
#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 (tanh x) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) x) #s(hole binary64 (* 2/15 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) 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)) 1) 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 x)) 1) #s(hole binary64 (* 2/15 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 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 (+ (* (* (* -1/3 x) x) x) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (* (* -1/3 x) x) x) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (+ (* (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) (* x x)) x) #s(hole binary64 (* -17/315 (pow x 7))))
#s(approx (+ (* (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) (* x x)) 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 x)) 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 x)) 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) #s(hole binary64 (* -17/315 (pow x 5))))
#s(approx (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) #s(hole binary64 (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) #s(hole binary64 (* (pow x 5) (- (* 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) #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) x) #s(hole binary64 (* -17/315 (pow x 3))))
#s(approx (* (+ (* (* x x) -17/315) 2/15) x) #s(hole binary64 (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#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 (* (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) 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)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))))
#s(approx (+ (* (* (* -1/3 x) x) x) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) (* x x)) 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 x)) 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 x)) 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 (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) -17/315) 2/15) x) #s(hole binary64 (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((tanh x) (* (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) x) (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) (+ (* (* x x) 2/15) -1/3) (* x x) x 2/15 -1/3 1 (tanh x) (+ (* (* (* -1/3 x) x) x) x) (* (* -1/3 x) x) (* -1/3 x) (tanh x) (+ (* (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) (* x x)) x) (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) (* (+ (* (* x x) -17/315) 2/15) x) (+ (* (* x x) -17/315) 2/15) -17/315)
3.0ms
x
@-inf
((tanh x) (* (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) x) (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) (+ (* (* x x) 2/15) -1/3) (* x x) x 2/15 -1/3 1 (tanh x) (+ (* (* (* -1/3 x) x) x) x) (* (* -1/3 x) x) (* -1/3 x) (tanh x) (+ (* (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) (* x x)) x) (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) (* (+ (* (* x x) -17/315) 2/15) x) (+ (* (* x x) -17/315) 2/15) -17/315)
2.0ms
x
@0
((tanh x) (* (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) x) (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) (+ (* (* x x) 2/15) -1/3) (* x x) x 2/15 -1/3 1 (tanh x) (+ (* (* (* -1/3 x) x) x) x) (* (* -1/3 x) x) (* -1/3 x) (tanh x) (+ (* (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) (* x x)) x) (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) (* (+ (* (* x x) -17/315) 2/15) x) (+ (* (* x x) -17/315) 2/15) -17/315)

rewrite213.0ms (3.5%)

Memory
11.0MiB live, 234.6MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02051606
02311498
18271460
063591399
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
86 → 372
Calls
Call 1
Inputs
#s(approx (tanh 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))
(*.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)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
#s(approx (tanh x) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x x))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x x)
(*.f64 (*.f64 #s(literal -1/3 binary64) x) x)
(*.f64 #s(literal -1/3 binary64) x)
#s(approx (tanh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x #s(literal -1/3 binary64)) x) (*.f64 x x) x))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x #s(literal -1/3 binary64)) x) (*.f64 x x) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x #s(literal -1/3 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
#s(literal -17/315 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 (* (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 2/15) -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) 2/15) -1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/3 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (* -1/3 x) x) x) x) #s(hole binary64 x))
#s(approx (+ (* (* (* -1/3 x) x) x) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (* -1/3 x) x) #s(hole binary64 (* -1/3 (pow x 2))))
#s(approx (* -1/3 x) #s(hole binary64 (* -1/3 x)))
#s(approx (+ (* (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) (* x x)) 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 x)) 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 x)) 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) #s(hole binary64 (* -1/3 x)))
#s(approx (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) #s(hole binary64 (* x (- (* 2/15 (pow x 2)) 1/3))))
#s(approx (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) #s(hole binary64 (* x (- (* (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) x) #s(hole binary64 (* 2/15 x)))
#s(approx (* (+ (* (* x x) -17/315) 2/15) x) #s(hole binary64 (* x (+ 2/15 (* -17/315 (pow x 2))))))
#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 (tanh x) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) x) #s(hole binary64 (* 2/15 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) 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)) 1) 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 x)) 1) #s(hole binary64 (* 2/15 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 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 (+ (* (* (* -1/3 x) x) x) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (* (* -1/3 x) x) x) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (+ (* (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) (* x x)) x) #s(hole binary64 (* -17/315 (pow x 7))))
#s(approx (+ (* (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) (* x x)) 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 x)) 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 x)) 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) #s(hole binary64 (* -17/315 (pow x 5))))
#s(approx (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) #s(hole binary64 (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) #s(hole binary64 (* (pow x 5) (- (* 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) #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) x) #s(hole binary64 (* -17/315 (pow x 3))))
#s(approx (* (+ (* (* x x) -17/315) 2/15) x) #s(hole binary64 (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#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 (* (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) 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)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))))
#s(approx (+ (* (* (* -1/3 x) x) x) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) (* x x)) 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 x)) 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 x)) 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 (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) -17/315) 2/15) x) #s(hole binary64 (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))))
Outputs
#s(approx (tanh 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))
(*.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)
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.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 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)))
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#s(literal -17/315 binary64)
#s(approx (tanh x) x)
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#s(approx x x)
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#s(approx (* (+ (* (* x x) -17/315) 2/15) 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 3 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 (* (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) x) (*.f64 (neg.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 (* (+ (* (+ (* (* x x) 2/15) -1/3) (* x x)) 1) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.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 -4 binary64)))))
#s(approx (+ (* (* (* -1/3 x) x) x) 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 (+ (* (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) (* x x)) 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 x)) x) (*.f64 (neg.f64 (fma.f64 #s(literal -2/15 binary64) (pow.f64 x #s(literal -2 binary64)) (fma.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 x)) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -4 binary64)) (-.f64 #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)))))))
#s(approx (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) 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 5 binary64))))
#s(approx (* (+ (* (* (+ (* (* x x) -17/315) 2/15) x) x) -1/3) x) (*.f64 (neg.f64 (fma.f64 #s(literal -2/15 binary64) (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 17/315 binary64)))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (* x x) -17/315) 2/15) 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 3 binary64))))

eval64.0ms (1.1%)

Memory
0.3MiB live, 151.4MiB allocated; 31ms collecting garbage
Compiler

Compiled 11 443 to 1 888 computations (83.5% saved)

prune15.0ms (0.2%)

Memory
-15.3MiB live, 29.7MiB allocated; 3ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New4550455
Fresh000
Picked033
Done044
Total4557462
Accuracy
100.0%
Counts
462 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓11.7%
(/.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))))
✓96.9%
(/.f64 (sinh.f64 x) (cosh.f64 x))
✓100.0%
(tanh.f64 x)
✓95.6%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
✓95.6%
#s(approx (tanh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x #s(literal -1/3 binary64)) x) (*.f64 x x) x))
✓95.4%
#s(approx (tanh x) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x x))
✓95.8%
#s(approx (tanh 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))
Compiler

Compiled 229 to 111 computations (51.5% saved)

regimes6.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB 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 (tanh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (tanh x) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x x))
#s(approx (tanh 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 (tanh x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tanh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x #s(literal -1/3 binary64)) x) (*.f64 x x) x))
#s(approx (tanh x) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x))
(tanh.f64 x)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.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 (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)

regimes4.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (tanh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (tanh x) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x x))
#s(approx (tanh 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 (tanh x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tanh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x #s(literal -1/3 binary64)) x) (*.f64 x x) x))
#s(approx (tanh x) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x))
Outputs
#s(approx (tanh 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))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
95.8%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
95.8%1x
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.3b remaining (-9.9%)

Threshold costs -0.3b (-9.9%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (tanh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (tanh x) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) 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
95.6%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
95.6%1x
Compiler

Compiled 14 to 8 computations (42.9% saved)

derivations102.0ms (1.7%)

Memory
15.3MiB live, 102.7MiB allocated; 13ms collecting garbage
Stop Event
1×done
Compiler

Compiled 33 to 18 computations (45.5% saved)

preprocess32.0ms (0.5%)

Memory
-24.3MiB live, 59.2MiB allocated; 16ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 158 to 90 computations (43% saved)

end0.0ms (0%)

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

Profiling

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