Hyperbolic tangent

Time bar (total: 5.8s)

start0.0ms (0%)

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

analyze10.0ms (0.2%)

Memory
-41.6MiB live, 2.8MiB allocated; 10ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 15 to 9 computations (40% saved)

sample4.2s (71.1%)

Memory
99.1MiB live, 6 037.0MiB allocated; 880ms collecting garbage
Samples
1.7s3 212×2valid
1.0s4 680×1valid
572.0ms7 694×0exit
23.0ms364×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.8s
ival-exp: 1.7s (60.2% of total)
adjust: 384.0ms (14% of total)
ival-div: 257.0ms (9.3% of total)
ival-sub: 180.0ms (6.5% of total)
ival-add: 153.0ms (5.6% of total)
ival-neg: 114.0ms (4.1% of total)
ival-assert: 6.0ms (0.2% of total)
Bogosity

explain288.0ms (4.9%)

Memory
15.3MiB live, 392.8MiB allocated; 86ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
10-0-(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
00-0-(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-(exp.f64 x)
01(397.7455979672965)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)))cancellation2540
/.f64(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))o/o10
(exp.f64 x)overflow1
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))overflow1
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))overflow1
(exp.f64 x)overflow1
exp.f64(exp.f64 (neg.f64 x))sensitivity10
Confusion
Predicted +Predicted -
+2550
-10
Precision
0.99609375
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25500
-100
Precision?
0.99609375
Recall?
1.0
Freqs
test
numberfreq
1256
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
137.0ms226×2valid
52.0ms274×1valid
1.0ms12×0valid
Compiler

Compiled 83 to 25 computations (69.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-exp: 99.0ms (59.3% of total)
adjust: 45.0ms (27% of total)
ival-div: 8.0ms (4.8% of total)
ival-add: 6.0ms (3.6% of total)
ival-sub: 6.0ms (3.6% of total)
ival-neg: 3.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess197.0ms (3.4%)

Memory
-40.1MiB live, 231.7MiB allocated; 68ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

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

(negabs x)

Compiler

Compiled 13 to 7 computations (46.2% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.6%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 13 to 7 computations (46.2% saved)

series7.0ms (0.1%)

Memory
-27.5MiB live, 16.5MiB allocated; 6ms 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
4.0ms
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))))

rewrite187.0ms (3.2%)

Memory
41.3MiB live, 282.2MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval20.0ms (0.3%)

Memory
-7.7MiB live, 44.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 096 to 499 computations (83.9% saved)

prune6.0ms (0.1%)

Memory
-34.0MiB live, 13.1MiB allocated; 2ms 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
99.6%
(/.f64 (sinh.f64 x) (cosh.f64 x))
100.0%
(tanh.f64 x)
99.1%
#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))
98.6%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 42 to 26 computations (38.1% saved)

series11.0ms (0.2%)

Memory
24.8MiB live, 24.8MiB allocated; 0ms collecting garbage
Counts
11 → 33
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(tanh.f64 x)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sinh.f64 x)
(cosh.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 x #s(hole binary64 x))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (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 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (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 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
Calls

3 calls:

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

rewrite154.0ms (2.6%)

Memory
14.8MiB live, 155.8MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129601
0133425
1655400
05100379
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
44 → 152
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(tanh.f64 x)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sinh.f64 x)
(cosh.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 x #s(hole binary64 x))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (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 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (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 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
Outputs
#s(approx (/ (sinh x) (cosh x)) x)
x
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (*.f64 x (fma.f64 #s(literal -1/27 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)))))
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(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) x)
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(fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x) x)
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(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))
(-.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64)))
(-.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(tanh.f64 x)
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sinh.f64 (neg.f64 x))) (neg.f64 (neg.f64 (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 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x)))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)))
(neg.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(tanh.f64 x)
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sinh.f64 (neg.f64 x))) (neg.f64 (neg.f64 (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 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x)))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)))
(neg.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
#s(approx (/ (sinh x) (cosh x)) x)
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (sinh x) (cosh 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 (/ (sinh x) (cosh x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.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 (+ (* (pow x 3) -1/3) x) x)
#s(approx (+ (* (pow x 3) -1/3) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx (/ (sinh x) (cosh x)) x)
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (sinh x) (cosh 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 (/ (sinh x) (cosh x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.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) (cosh x)) x)
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (sinh x) (cosh 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 (/ (sinh x) (cosh x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.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) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (sinh x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (sinh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sinh x) (cosh x)) (tanh.f64 x))
#s(approx (+ (* (pow x 3) -1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))
#s(approx (+ (* (pow x 3) -1/3) x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (sinh x) (cosh x)) (tanh.f64 x))
#s(approx (/ (sinh x) (cosh 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 (/ (sinh x) (cosh x)) (tanh.f64 x))
#s(approx (+ (* (pow x 3) -1/3) x) (*.f64 (neg.f64 (-.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))))

eval16.0ms (0.3%)

Memory
-6.8MiB live, 36.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 334 to 388 computations (83.4% saved)

prune10.0ms (0.2%)

Memory
-27.5MiB live, 16.5MiB allocated; 7ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1192121
Fresh000
Picked224
Done000
Total1214125
Accuracy
100.0%
Counts
125 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(tanh.f64 x)
99.1%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
98.6%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
99.2%
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.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))
Compiler

Compiled 62 to 38 computations (38.7% saved)

series11.0ms (0.2%)

Memory
40.1MiB live, 40.1MiB allocated; 0ms collecting garbage
Counts
17 → 50
Calls
Call 1
Inputs
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.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 (pow.f64 x #s(literal 3 binary64)) (-.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)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(-.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)
(*.f64 x x)
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)
(*.f64 (*.f64 x x) x)
#s(literal -1/3 binary64)
Outputs
#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 (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) #s(hole binary64 -1/3))
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) #s(hole binary64 (- (* 2/15 (pow x 2)) 1/3)))
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) #s(hole binary64 (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
#s(approx (* (* (+ (* -17/315 (* x x)) 2/15) 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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ (sinh x) (cosh x)) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* -17/315 (pow x 7))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) #s(hole binary64 (* -17/315 (pow x 4))))
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (* (* (+ (* -17/315 (* x x)) 2/15) 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 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) x) #s(hole binary64 (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
Calls

3 calls:

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

rewrite246.0ms (4.2%)

Memory
-16.3MiB live, 212.4MiB allocated; 69ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01611209
01781033
1660988
04780980
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
67 → 284
Calls
Call 1
Inputs
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.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 (pow.f64 x #s(literal 3 binary64)) (-.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)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(-.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)
(*.f64 x x)
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)
(*.f64 (*.f64 x x) x)
#s(literal -1/3 binary64)
#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 (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) #s(hole binary64 -1/3))
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) #s(hole binary64 (- (* 2/15 (pow x 2)) 1/3)))
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) #s(hole binary64 (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
#s(approx (* (* (+ (* -17/315 (* x x)) 2/15) 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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ (sinh x) (cosh x)) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* -17/315 (pow x 7))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) #s(hole binary64 (* -17/315 (pow x 4))))
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (* (* (+ (* -17/315 (* x x)) 2/15) 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 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) x) #s(hole binary64 (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.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) x #s(literal 1 binary64)) x)
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(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (*.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (*.f64 x (-.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 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 #s(literal -1/3 binary64) x)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/3 binary64) x)) x)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64)))
(-.f64 x (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal -1/3 binary64) x)))
(-.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (*.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (*.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 x x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) x)
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx x x)
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) #s(literal -1/3 binary64))
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) (-.f64 (*.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) (-.f64 (*.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 (* x x) (*.f64 x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (+ (* (* (* x x) x) -1/3) x) x)
#s(approx (+ (* (* (* x 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) (pow.f64 x #s(literal 3 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64)))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)))
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64))))
#s(approx (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (* -17/315 (* x x)) 2/15) 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 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) x) (*.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 x x) #s(literal -17/315 binary64)))
#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 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (+ (* (* (* x x) x) -1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))
#s(approx (+ (* (* (* x x) x) -1/3) x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -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 (+ (* (pow x 3) (- (* (* (+ (* -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)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/315 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (pow x 3) (- (* (* (+ (* -17/315 (* x x)) 2/15) x) x) 1/3)) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (fma.f64 #s(literal -2/15 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/315 binary64))) (pow.f64 x #s(literal -6 binary64)))))
#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))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (+ (* (* (* x x) x) -1/3) x) (*.f64 (neg.f64 (-.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))))

eval49.0ms (0.8%)

Memory
7.1MiB live, 110.2MiB allocated; 15ms collecting garbage
Compiler

Compiled 8 893 to 1 362 computations (84.7% saved)

prune9.0ms (0.1%)

Memory
-12.4MiB live, 32.7MiB allocated; 3ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3001301
Fresh000
Picked112
Done022
Total3014305
Accuracy
100.0%
Counts
305 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(tanh.f64 x)
99.1%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
98.6%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
99.2%
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (*.f64 (-.f64 (*.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))
Compiler

Compiled 64 to 37 computations (42.2% saved)

series7.0ms (0.1%)

Memory
22.4MiB live, 22.4MiB allocated; 0ms collecting garbage
Counts
12 → 45
Calls
Call 1
Inputs
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (*.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 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x)
(*.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))
(*.f64 x x)
x
#s(literal -17/315 binary64)
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
Outputs
#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 (+ (* (* (- (* (* (+ (* (* 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) x) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (* (* (+ (* (* x x) -17/315) 2/15) x) x) #s(hole binary64 (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))))
#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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (sinh x) (cosh x)) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#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) x) #s(hole binary64 (* -17/315 (pow x 4))))
#s(approx (* (* (+ (* (* x x) -17/315) 2/15) x) x) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#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) -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
2.0ms
x
@inf
((/ (sinh x) (cosh 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 x) -17/315) 2/15) x) (+ (* (* x x) -17/315) 2/15) (* x x) x -17/315 2/15 1/3)
2.0ms
x
@-inf
((/ (sinh x) (cosh 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 x) -17/315) 2/15) x) (+ (* (* x x) -17/315) 2/15) (* x x) x -17/315 2/15 1/3)
1.0ms
x
@0
((/ (sinh x) (cosh 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 x) -17/315) 2/15) x) (+ (* (* x x) -17/315) 2/15) (* x x) x -17/315 2/15 1/3)

rewrite160.0ms (2.7%)

Memory
6.5MiB live, 150.4MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01471171
01611105
15801066
043991040
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
57 → 219
Calls
Call 1
Inputs
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (*.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 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x)
(*.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))
(*.f64 x x)
x
#s(literal -17/315 binary64)
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
#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 (+ (* (* (- (* (* (+ (* (* 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) x) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (* (* (+ (* (* x x) -17/315) 2/15) x) x) #s(hole binary64 (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))))
#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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (sinh x) (cosh x)) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#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) x) #s(hole binary64 (* -17/315 (pow x 4))))
#s(approx (* (* (+ (* (* x x) -17/315) 2/15) x) x) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#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) -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 (/ (sinh x) (cosh x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.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 (fma.f64 (*.f64 (-.f64 (*.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) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 (-.f64 (*.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) x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.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) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.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) x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 (*.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(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 (-.f64 (*.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) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.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) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.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) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.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) x)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (-.f64 (*.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(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 (*.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) x) (-.f64 (*.f64 (*.f64 (-.f64 (*.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) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.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(literal 2 binary64))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.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 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.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(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.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 (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.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(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.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(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.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(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.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 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.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(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.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(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.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(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.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(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (-.f64 (*.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) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (*.f64 (*.f64 (-.f64 (*.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) (neg.f64 x)) (neg.f64 x) x)
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x
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#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) -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)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/315 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (- (* (* (+ (* (* x x) -17/315) 2/15) x) x) 1/3) x) (* x x)) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (fma.f64 #s(literal -2/15 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/315 binary64))) (pow.f64 x #s(literal -6 binary64)))))
#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)) (+.f64 (/.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))))

eval38.0ms (0.6%)

Memory
-12.9MiB live, 76.7MiB allocated; 10ms collecting garbage
Compiler

Compiled 8 035 to 1 305 computations (83.8% saved)

prune15.0ms (0.2%)

Memory
-20.8MiB live, 31.2MiB allocated; 7ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2481249
Fresh000
Picked011
Done033
Total2485253
Accuracy
100.0%
Counts
253 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(tanh.f64 x)
99.1%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
98.6%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
99.2%
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (*.f64 (-.f64 (*.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))
99.3%
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x) (*.f64 x x) x))
Compiler

Compiled 245 to 114 computations (53.5% saved)

regimes6.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x) (*.f64 x x) x))
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (*.f64 (-.f64 (*.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))
(tanh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.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 (sinh.f64 x) (cosh.f64 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)

regimes3.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x) (*.f64 x x) x))
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (*.f64 (-.f64 (*.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))
Outputs
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x) (*.f64 x x) x))
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
99.3%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
99.3%1x
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
99.1%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
99.1%1x
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes2.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
98.6%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
98.6%1x
Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify51.0ms (0.9%)

Memory
-5.0MiB live, 85.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
03067
15367
213667
354367
4403051
Stop Event
node limit
Calls
Call 1
Inputs
(tanh.f64 x)
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Outputs
(tanh.f64 x)
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (sinh x) (cosh x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (sinh x) (cosh x)) x)

derivations151.0ms (2.6%)

Memory
-9.7MiB live, 138.1MiB allocated; 43ms collecting garbage
Stop Event
fuel
Compiler

Compiled 51 to 25 computations (51% saved)

preprocess31.0ms (0.5%)

Memory
11.4MiB live, 55.7MiB allocated; 7ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 140 to 76 computations (45.7% saved)

end0.0ms (0%)

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

Profiling

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